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<div class="section" id="built-in-functions">
<span id="built-in-funcs"></span><h1>2. Built-in Functions<a class="headerlink" href="#built-in-functions" title="Permalink to this headline">¶</a></h1>
<p>The Python interpreter has a number of functions built into it that are always
available. They are listed here in alphabetical order.</p>
<table border="1" class="docutils">
<colgroup>
<col width="21%" />
<col width="19%" />
<col width="20%" />
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<thead valign="bottom">
<tr class="row-odd"><th class="head"></th>
<th class="head"></th>
<th class="head">Built-in Functions</th>
<th class="head"></th>
<th class="head"></th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><a class="reference internal" href="#abs" title="abs"><tt class="xref py py-func docutils literal"><span class="pre">abs()</span></tt></a></td>
<td><a class="reference internal" href="#divmod" title="divmod"><tt class="xref py py-func docutils literal"><span class="pre">divmod()</span></tt></a></td>
<td><a class="reference internal" href="#input" title="input"><tt class="xref py py-func docutils literal"><span class="pre">input()</span></tt></a></td>
<td><a class="reference internal" href="#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a></td>
<td><a class="reference internal" href="#staticmethod" title="staticmethod"><tt class="xref py py-func docutils literal"><span class="pre">staticmethod()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#all" title="all"><tt class="xref py py-func docutils literal"><span class="pre">all()</span></tt></a></td>
<td><a class="reference internal" href="#enumerate" title="enumerate"><tt class="xref py py-func docutils literal"><span class="pre">enumerate()</span></tt></a></td>
<td><a class="reference internal" href="#int" title="int"><tt class="xref py py-func docutils literal"><span class="pre">int()</span></tt></a></td>
<td><a class="reference internal" href="#ord" title="ord"><tt class="xref py py-func docutils literal"><span class="pre">ord()</span></tt></a></td>
<td><a class="reference internal" href="#str" title="str"><tt class="xref py py-func docutils literal"><span class="pre">str()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#any" title="any"><tt class="xref py py-func docutils literal"><span class="pre">any()</span></tt></a></td>
<td><a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a></td>
<td><a class="reference internal" href="#isinstance" title="isinstance"><tt class="xref py py-func docutils literal"><span class="pre">isinstance()</span></tt></a></td>
<td><a class="reference internal" href="#pow" title="pow"><tt class="xref py py-func docutils literal"><span class="pre">pow()</span></tt></a></td>
<td><a class="reference internal" href="#sum" title="sum"><tt class="xref py py-func docutils literal"><span class="pre">sum()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#basestring" title="basestring"><tt class="xref py py-func docutils literal"><span class="pre">basestring()</span></tt></a></td>
<td><a class="reference internal" href="#execfile" title="execfile"><tt class="xref py py-func docutils literal"><span class="pre">execfile()</span></tt></a></td>
<td><a class="reference internal" href="#issubclass" title="issubclass"><tt class="xref py py-func docutils literal"><span class="pre">issubclass()</span></tt></a></td>
<td><a class="reference internal" href="#print" title="print"><tt class="xref py py-func docutils literal"><span class="pre">print()</span></tt></a></td>
<td><a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#bin" title="bin"><tt class="xref py py-func docutils literal"><span class="pre">bin()</span></tt></a></td>
<td><a class="reference internal" href="#file" title="file"><tt class="xref py py-func docutils literal"><span class="pre">file()</span></tt></a></td>
<td><a class="reference internal" href="#iter" title="iter"><tt class="xref py py-func docutils literal"><span class="pre">iter()</span></tt></a></td>
<td><a class="reference internal" href="#property" title="property"><tt class="xref py py-func docutils literal"><span class="pre">property()</span></tt></a></td>
<td><a class="reference internal" href="#tuple" title="tuple"><tt class="xref py py-func docutils literal"><span class="pre">tuple()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#bool" title="bool"><tt class="xref py py-func docutils literal"><span class="pre">bool()</span></tt></a></td>
<td><a class="reference internal" href="#filter" title="filter"><tt class="xref py py-func docutils literal"><span class="pre">filter()</span></tt></a></td>
<td><a class="reference internal" href="#len" title="len"><tt class="xref py py-func docutils literal"><span class="pre">len()</span></tt></a></td>
<td><a class="reference internal" href="#range" title="range"><tt class="xref py py-func docutils literal"><span class="pre">range()</span></tt></a></td>
<td><a class="reference internal" href="#type" title="type"><tt class="xref py py-func docutils literal"><span class="pre">type()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#bytearray" title="bytearray"><tt class="xref py py-func docutils literal"><span class="pre">bytearray()</span></tt></a></td>
<td><a class="reference internal" href="#float" title="float"><tt class="xref py py-func docutils literal"><span class="pre">float()</span></tt></a></td>
<td><a class="reference internal" href="#list" title="list"><tt class="xref py py-func docutils literal"><span class="pre">list()</span></tt></a></td>
<td><a class="reference internal" href="#raw_input" title="raw_input"><tt class="xref py py-func docutils literal"><span class="pre">raw_input()</span></tt></a></td>
<td><a class="reference internal" href="#unichr" title="unichr"><tt class="xref py py-func docutils literal"><span class="pre">unichr()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#callable" title="callable"><tt class="xref py py-func docutils literal"><span class="pre">callable()</span></tt></a></td>
<td><a class="reference internal" href="#format" title="format"><tt class="xref py py-func docutils literal"><span class="pre">format()</span></tt></a></td>
<td><a class="reference internal" href="#locals" title="locals"><tt class="xref py py-func docutils literal"><span class="pre">locals()</span></tt></a></td>
<td><a class="reference internal" href="#reduce" title="reduce"><tt class="xref py py-func docutils literal"><span class="pre">reduce()</span></tt></a></td>
<td><a class="reference internal" href="#unicode" title="unicode"><tt class="xref py py-func docutils literal"><span class="pre">unicode()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#chr" title="chr"><tt class="xref py py-func docutils literal"><span class="pre">chr()</span></tt></a></td>
<td><a class="reference internal" href="#func-frozenset"><tt class="docutils literal"><span class="pre">frozenset()</span></tt></a></td>
<td><a class="reference internal" href="#long" title="long"><tt class="xref py py-func docutils literal"><span class="pre">long()</span></tt></a></td>
<td><a class="reference internal" href="#reload" title="reload"><tt class="xref py py-func docutils literal"><span class="pre">reload()</span></tt></a></td>
<td><a class="reference internal" href="#vars" title="vars"><tt class="xref py py-func docutils literal"><span class="pre">vars()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#classmethod" title="classmethod"><tt class="xref py py-func docutils literal"><span class="pre">classmethod()</span></tt></a></td>
<td><a class="reference internal" href="#getattr" title="getattr"><tt class="xref py py-func docutils literal"><span class="pre">getattr()</span></tt></a></td>
<td><a class="reference internal" href="#map" title="map"><tt class="xref py py-func docutils literal"><span class="pre">map()</span></tt></a></td>
<td><a class="reference internal" href="#func-repr"><tt class="docutils literal"><span class="pre">repr()</span></tt></a></td>
<td><a class="reference internal" href="#xrange" title="xrange"><tt class="xref py py-func docutils literal"><span class="pre">xrange()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#cmp" title="cmp"><tt class="xref py py-func docutils literal"><span class="pre">cmp()</span></tt></a></td>
<td><a class="reference internal" href="#globals" title="globals"><tt class="xref py py-func docutils literal"><span class="pre">globals()</span></tt></a></td>
<td><a class="reference internal" href="#max" title="max"><tt class="xref py py-func docutils literal"><span class="pre">max()</span></tt></a></td>
<td><a class="reference internal" href="#reversed" title="reversed"><tt class="xref py py-func docutils literal"><span class="pre">reversed()</span></tt></a></td>
<td><a class="reference internal" href="#zip" title="zip"><tt class="xref py py-func docutils literal"><span class="pre">zip()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#compile" title="compile"><tt class="xref py py-func docutils literal"><span class="pre">compile()</span></tt></a></td>
<td><a class="reference internal" href="#hasattr" title="hasattr"><tt class="xref py py-func docutils literal"><span class="pre">hasattr()</span></tt></a></td>
<td><a class="reference internal" href="#func-memoryview"><tt class="docutils literal"><span class="pre">memoryview()</span></tt></a></td>
<td><a class="reference internal" href="#round" title="round"><tt class="xref py py-func docutils literal"><span class="pre">round()</span></tt></a></td>
<td><a class="reference internal" href="#__import__" title="__import__"><tt class="xref py py-func docutils literal"><span class="pre">__import__()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#complex" title="complex"><tt class="xref py py-func docutils literal"><span class="pre">complex()</span></tt></a></td>
<td><a class="reference internal" href="#hash" title="hash"><tt class="xref py py-func docutils literal"><span class="pre">hash()</span></tt></a></td>
<td><a class="reference internal" href="#min" title="min"><tt class="xref py py-func docutils literal"><span class="pre">min()</span></tt></a></td>
<td><a class="reference internal" href="#func-set"><tt class="docutils literal"><span class="pre">set()</span></tt></a></td>
<td><a class="reference internal" href="#apply" title="apply"><tt class="xref py py-func docutils literal"><span class="pre">apply()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#delattr" title="delattr"><tt class="xref py py-func docutils literal"><span class="pre">delattr()</span></tt></a></td>
<td><a class="reference internal" href="#help" title="help"><tt class="xref py py-func docutils literal"><span class="pre">help()</span></tt></a></td>
<td><a class="reference internal" href="#next" title="next"><tt class="xref py py-func docutils literal"><span class="pre">next()</span></tt></a></td>
<td><a class="reference internal" href="#setattr" title="setattr"><tt class="xref py py-func docutils literal"><span class="pre">setattr()</span></tt></a></td>
<td><a class="reference internal" href="#buffer" title="buffer"><tt class="xref py py-func docutils literal"><span class="pre">buffer()</span></tt></a></td>
</tr>
<tr class="row-even"><td><a class="reference internal" href="#func-dict"><tt class="docutils literal"><span class="pre">dict()</span></tt></a></td>
<td><a class="reference internal" href="#hex" title="hex"><tt class="xref py py-func docutils literal"><span class="pre">hex()</span></tt></a></td>
<td><a class="reference internal" href="#object" title="object"><tt class="xref py py-func docutils literal"><span class="pre">object()</span></tt></a></td>
<td><a class="reference internal" href="#slice" title="slice"><tt class="xref py py-func docutils literal"><span class="pre">slice()</span></tt></a></td>
<td><a class="reference internal" href="#coerce" title="coerce"><tt class="xref py py-func docutils literal"><span class="pre">coerce()</span></tt></a></td>
</tr>
<tr class="row-odd"><td><a class="reference internal" href="#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a></td>
<td><a class="reference internal" href="#id" title="id"><tt class="xref py py-func docutils literal"><span class="pre">id()</span></tt></a></td>
<td><a class="reference internal" href="#oct" title="oct"><tt class="xref py py-func docutils literal"><span class="pre">oct()</span></tt></a></td>
<td><a class="reference internal" href="#sorted" title="sorted"><tt class="xref py py-func docutils literal"><span class="pre">sorted()</span></tt></a></td>
<td><a class="reference internal" href="#intern" title="intern"><tt class="xref py py-func docutils literal"><span class="pre">intern()</span></tt></a></td>
</tr>
</tbody>
</table>
<dl class="function">
<dt id="abs">
<tt class="descname">abs</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#abs" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the absolute value of a number. The argument may be a plain or long
integer or a floating point number. If the argument is a complex number, its
magnitude is returned.</p>
</dd></dl>
<dl class="function">
<dt id="all">
<tt class="descname">all</tt><big>(</big><em>iterable</em><big>)</big><a class="headerlink" href="#all" title="Permalink to this definition">¶</a></dt>
<dd><p>Return True if all elements of the <em>iterable</em> are true (or if the iterable
is empty). Equivalent to:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">def</span> <span class="nf">all</span><span class="p">(</span><span class="n">iterable</span><span class="p">):</span>
<span class="k">for</span> <span class="n">element</span> <span class="ow">in</span> <span class="n">iterable</span><span class="p">:</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">element</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">False</span>
<span class="k">return</span> <span class="bp">True</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.5.</span></p>
</dd></dl>
<dl class="function">
<dt id="any">
<tt class="descname">any</tt><big>(</big><em>iterable</em><big>)</big><a class="headerlink" href="#any" title="Permalink to this definition">¶</a></dt>
<dd><p>Return True if any element of the <em>iterable</em> is true. If the iterable
is empty, return False. Equivalent to:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">def</span> <span class="nf">any</span><span class="p">(</span><span class="n">iterable</span><span class="p">):</span>
<span class="k">for</span> <span class="n">element</span> <span class="ow">in</span> <span class="n">iterable</span><span class="p">:</span>
<span class="k">if</span> <span class="n">element</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">True</span>
<span class="k">return</span> <span class="bp">False</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.5.</span></p>
</dd></dl>
<dl class="function">
<dt id="basestring">
<tt class="descname">basestring</tt><big>(</big><big>)</big><a class="headerlink" href="#basestring" title="Permalink to this definition">¶</a></dt>
<dd><p>This abstract type is the superclass for <a class="reference internal" href="#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a> and <a class="reference internal" href="#unicode" title="unicode"><tt class="xref py py-class docutils literal"><span class="pre">unicode</span></tt></a>. It
cannot be called or instantiated, but it can be used to test whether an object
is an instance of <a class="reference internal" href="#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a> or <a class="reference internal" href="#unicode" title="unicode"><tt class="xref py py-class docutils literal"><span class="pre">unicode</span></tt></a>. <tt class="docutils literal"><span class="pre">isinstance(obj,</span>
<span class="pre">basestring)</span></tt> is equivalent to <tt class="docutils literal"><span class="pre">isinstance(obj,</span> <span class="pre">(str,</span> <span class="pre">unicode))</span></tt>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
</dd></dl>
<dl class="function">
<dt id="bin">
<tt class="descname">bin</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#bin" title="Permalink to this definition">¶</a></dt>
<dd><p>Convert an integer number to a binary string. The result is a valid Python
expression. If <em>x</em> is not a Python <a class="reference internal" href="#int" title="int"><tt class="xref py py-class docutils literal"><span class="pre">int</span></tt></a> object, it has to define an
<a class="reference internal" href="../reference/datamodel.html#object.__index__" title="object.__index__"><tt class="xref py py-meth docutils literal"><span class="pre">__index__()</span></tt></a> method that returns an integer.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>
<dl class="function">
<dt id="bool">
<tt class="descname">bool</tt><big>(</big><span class="optional">[</span><em>x</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#bool" title="Permalink to this definition">¶</a></dt>
<dd><p>Convert a value to a Boolean, using the standard truth testing procedure. If
<em>x</em> is false or omitted, this returns <a class="reference internal" href="constants.html#False" title="False"><tt class="xref py py-const docutils literal"><span class="pre">False</span></tt></a>; otherwise it returns
<a class="reference internal" href="constants.html#True" title="True"><tt class="xref py py-const docutils literal"><span class="pre">True</span></tt></a>. <a class="reference internal" href="#bool" title="bool"><tt class="xref py py-class docutils literal"><span class="pre">bool</span></tt></a> is also a class, which is a subclass of
<a class="reference internal" href="#int" title="int"><tt class="xref py py-class docutils literal"><span class="pre">int</span></tt></a>. Class <a class="reference internal" href="#bool" title="bool"><tt class="xref py py-class docutils literal"><span class="pre">bool</span></tt></a> cannot be subclassed further. Its only
instances are <a class="reference internal" href="constants.html#False" title="False"><tt class="xref py py-const docutils literal"><span class="pre">False</span></tt></a> and <a class="reference internal" href="constants.html#True" title="True"><tt class="xref py py-const docutils literal"><span class="pre">True</span></tt></a>.</p>
<p class="versionadded" id="index-0">
<span class="versionmodified">New in version 2.2.1.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>If no argument is given, this function returns <a class="reference internal" href="constants.html#False" title="False"><tt class="xref py py-const docutils literal"><span class="pre">False</span></tt></a>.</p>
</dd></dl>
<dl class="function">
<dt id="bytearray">
<tt class="descname">bytearray</tt><big>(</big><span class="optional">[</span><em>source</em><span class="optional">[</span>, <em>encoding</em><span class="optional">[</span>, <em>errors</em><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#bytearray" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new array of bytes. The <a class="reference internal" href="#bytearray" title="bytearray"><tt class="xref py py-class docutils literal"><span class="pre">bytearray</span></tt></a> type is a mutable
sequence of integers in the range 0 <= x < 256. It has most of the usual
methods of mutable sequences, described in <a class="reference internal" href="stdtypes.html#typesseq-mutable"><em>Mutable Sequence Types</em></a>, as well
as most methods that the <a class="reference internal" href="#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a> type has, see <a class="reference internal" href="stdtypes.html#string-methods"><em>String Methods</em></a>.</p>
<p>The optional <em>source</em> parameter can be used to initialize the array in a few
different ways:</p>
<ul class="simple">
<li>If it is a <em>string</em>, you must also give the <em>encoding</em> (and optionally,
<em>errors</em>) parameters; <a class="reference internal" href="#bytearray" title="bytearray"><tt class="xref py py-func docutils literal"><span class="pre">bytearray()</span></tt></a> then converts the string to
bytes using <a class="reference internal" href="stdtypes.html#str.encode" title="str.encode"><tt class="xref py py-meth docutils literal"><span class="pre">str.encode()</span></tt></a>.</li>
<li>If it is an <em>integer</em>, the array will have that size and will be
initialized with null bytes.</li>
<li>If it is an object conforming to the <em>buffer</em> interface, a read-only buffer
of the object will be used to initialize the bytes array.</li>
<li>If it is an <em>iterable</em>, it must be an iterable of integers in the range
<tt class="docutils literal"><span class="pre">0</span> <span class="pre"><=</span> <span class="pre">x</span> <span class="pre"><</span> <span class="pre">256</span></tt>, which are used as the initial contents of the array.</li>
</ul>
<p>Without an argument, an array of size 0 is created.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>
<dl class="function">
<dt id="callable">
<tt class="descname">callable</tt><big>(</big><em>object</em><big>)</big><a class="headerlink" href="#callable" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <a class="reference internal" href="constants.html#True" title="True"><tt class="xref py py-const docutils literal"><span class="pre">True</span></tt></a> if the <em>object</em> argument appears callable,
<a class="reference internal" href="constants.html#False" title="False"><tt class="xref py py-const docutils literal"><span class="pre">False</span></tt></a> if not. If this
returns true, it is still possible that a call fails, but if it is false,
calling <em>object</em> will never succeed. Note that classes are callable (calling a
class returns a new instance); class instances are callable if they have a
<a class="reference internal" href="../reference/datamodel.html#object.__call__" title="object.__call__"><tt class="xref py py-meth docutils literal"><span class="pre">__call__()</span></tt></a> method.</p>
</dd></dl>
<dl class="function">
<dt id="chr">
<tt class="descname">chr</tt><big>(</big><em>i</em><big>)</big><a class="headerlink" href="#chr" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a string of one character whose ASCII code is the integer <em>i</em>. For
example, <tt class="docutils literal"><span class="pre">chr(97)</span></tt> returns the string <tt class="docutils literal"><span class="pre">'a'</span></tt>. This is the inverse of
<a class="reference internal" href="#ord" title="ord"><tt class="xref py py-func docutils literal"><span class="pre">ord()</span></tt></a>. The argument must be in the range [0..255], inclusive;
<a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> will be raised if <em>i</em> is outside that range. See
also <a class="reference internal" href="#unichr" title="unichr"><tt class="xref py py-func docutils literal"><span class="pre">unichr()</span></tt></a>.</p>
</dd></dl>
<dl class="function">
<dt id="classmethod">
<tt class="descname">classmethod</tt><big>(</big><em>function</em><big>)</big><a class="headerlink" href="#classmethod" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a class method for <em>function</em>.</p>
<p>A class method receives the class as implicit first argument, just like an
instance method receives the instance. To declare a class method, use this
idiom:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">class</span> <span class="nc">C</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="nd">@classmethod</span>
<span class="k">def</span> <span class="nf">f</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">arg1</span><span class="p">,</span> <span class="n">arg2</span><span class="p">,</span> <span class="o">...</span><span class="p">):</span>
<span class="o">...</span>
</pre></div>
</div>
<p>The <tt class="docutils literal"><span class="pre">@classmethod</span></tt> form is a function <a class="reference internal" href="../glossary.html#term-decorator"><em class="xref std std-term">decorator</em></a> – see the description
of function definitions in <a class="reference internal" href="../reference/compound_stmts.html#function"><em>Function definitions</em></a> for details.</p>
<p>It can be called either on the class (such as <tt class="docutils literal"><span class="pre">C.f()</span></tt>) or on an instance (such
as <tt class="docutils literal"><span class="pre">C().f()</span></tt>). The instance is ignored except for its class. If a class
method is called for a derived class, the derived class object is passed as the
implied first argument.</p>
<p>Class methods are different than C++ or Java static methods. If you want those,
see <a class="reference internal" href="#staticmethod" title="staticmethod"><tt class="xref py py-func docutils literal"><span class="pre">staticmethod()</span></tt></a> in this section.</p>
<p>For more information on class methods, consult the documentation on the standard
type hierarchy in <a class="reference internal" href="../reference/datamodel.html#types"><em>The standard type hierarchy</em></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Function decorator syntax added.</p>
</dd></dl>
<dl class="function">
<dt id="cmp">
<tt class="descname">cmp</tt><big>(</big><em>x</em>, <em>y</em><big>)</big><a class="headerlink" href="#cmp" title="Permalink to this definition">¶</a></dt>
<dd><p>Compare the two objects <em>x</em> and <em>y</em> and return an integer according to the
outcome. The return value is negative if <tt class="docutils literal"><span class="pre">x</span> <span class="pre"><</span> <span class="pre">y</span></tt>, zero if <tt class="docutils literal"><span class="pre">x</span> <span class="pre">==</span> <span class="pre">y</span></tt> and
strictly positive if <tt class="docutils literal"><span class="pre">x</span> <span class="pre">></span> <span class="pre">y</span></tt>.</p>
</dd></dl>
<dl class="function">
<dt id="compile">
<tt class="descname">compile</tt><big>(</big><em>source</em>, <em>filename</em>, <em>mode</em><span class="optional">[</span>, <em>flags</em><span class="optional">[</span>, <em>dont_inherit</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#compile" title="Permalink to this definition">¶</a></dt>
<dd><p>Compile the <em>source</em> into a code or AST object. Code objects can be executed
by an <a class="reference internal" href="../reference/simple_stmts.html#exec"><tt class="xref std std-keyword docutils literal"><span class="pre">exec</span></tt></a> statement or evaluated by a call to <a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a>.
<em>source</em> can either be a string or an AST object. Refer to the <a class="reference internal" href="ast.html#module-ast" title="ast: Abstract Syntax Tree classes and manipulation."><tt class="xref py py-mod docutils literal"><span class="pre">ast</span></tt></a>
module documentation for information on how to work with AST objects.</p>
<p>The <em>filename</em> argument should give the file from which the code was read;
pass some recognizable value if it wasn’t read from a file (<tt class="docutils literal"><span class="pre">'<string>'</span></tt> is
commonly used).</p>
<p>The <em>mode</em> argument specifies what kind of code must be compiled; it can be
<tt class="docutils literal"><span class="pre">'exec'</span></tt> if <em>source</em> consists of a sequence of statements, <tt class="docutils literal"><span class="pre">'eval'</span></tt> if it
consists of a single expression, or <tt class="docutils literal"><span class="pre">'single'</span></tt> if it consists of a single
interactive statement (in the latter case, expression statements that
evaluate to something other than <tt class="docutils literal"><span class="pre">None</span></tt> will be printed).</p>
<p>The optional arguments <em>flags</em> and <em>dont_inherit</em> control which future
statements (see <span class="target" id="index-1"></span><a class="pep reference external" href="http://www.python.org/dev/peps/pep-0236"><strong>PEP 236</strong></a>) affect the compilation of <em>source</em>. If neither
is present (or both are zero) the code is compiled with those future
statements that are in effect in the code that is calling compile. If the
<em>flags</em> argument is given and <em>dont_inherit</em> is not (or is zero) then the
future statements specified by the <em>flags</em> argument are used in addition to
those that would be used anyway. If <em>dont_inherit</em> is a non-zero integer then
the <em>flags</em> argument is it – the future statements in effect around the call
to compile are ignored.</p>
<p>Future statements are specified by bits which can be bitwise ORed together to
specify multiple statements. The bitfield required to specify a given feature
can be found as the <tt class="xref py py-attr docutils literal"><span class="pre">compiler_flag</span></tt> attribute on the <tt class="xref py py-class docutils literal"><span class="pre">_Feature</span></tt>
instance in the <a class="reference internal" href="__future__.html#module-__future__" title="__future__: Future statement definitions"><tt class="xref py py-mod docutils literal"><span class="pre">__future__</span></tt></a> module.</p>
<p>This function raises <a class="reference internal" href="exceptions.html#exceptions.SyntaxError" title="exceptions.SyntaxError"><tt class="xref py py-exc docutils literal"><span class="pre">SyntaxError</span></tt></a> if the compiled source is invalid,
and <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> if the source contains null bytes.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">When compiling a string with multi-line code in <tt class="docutils literal"><span class="pre">'single'</span></tt> or
<tt class="docutils literal"><span class="pre">'eval'</span></tt> mode, input must be terminated by at least one newline
character. This is to facilitate detection of incomplete and complete
statements in the <a class="reference internal" href="code.html#module-code" title="code: Facilities to implement read-eval-print loops."><tt class="xref py py-mod docutils literal"><span class="pre">code</span></tt></a> module.</p>
</div>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>The <em>flags</em> and <em>dont_inherit</em> arguments were added.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Support for compiling AST objects.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.7: </span>Allowed use of Windows and Mac newlines. Also input in <tt class="docutils literal"><span class="pre">'exec'</span></tt> mode
does not have to end in a newline anymore.</p>
</dd></dl>
<dl class="function">
<dt id="complex">
<tt class="descname">complex</tt><big>(</big><span class="optional">[</span><em>real</em><span class="optional">[</span>, <em>imag</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#complex" title="Permalink to this definition">¶</a></dt>
<dd><p>Create a complex number with the value <em>real</em> + <em>imag</em>*j or convert a string or
number to a complex number. If the first parameter is a string, it will be
interpreted as a complex number and the function must be called without a second
parameter. The second parameter can never be a string. Each argument may be any
numeric type (including complex). If <em>imag</em> is omitted, it defaults to zero and
the function serves as a numeric conversion function like <a class="reference internal" href="#int" title="int"><tt class="xref py py-func docutils literal"><span class="pre">int()</span></tt></a>,
<a class="reference internal" href="#long" title="long"><tt class="xref py py-func docutils literal"><span class="pre">long()</span></tt></a> and <a class="reference internal" href="#float" title="float"><tt class="xref py py-func docutils literal"><span class="pre">float()</span></tt></a>. If both arguments are omitted, returns <tt class="docutils literal"><span class="pre">0j</span></tt>.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">When converting from a string, the string must not contain whitespace
around the central <tt class="docutils literal"><span class="pre">+</span></tt> or <tt class="docutils literal"><span class="pre">-</span></tt> operator. For example,
<tt class="docutils literal"><span class="pre">complex('1+2j')</span></tt> is fine, but <tt class="docutils literal"><span class="pre">complex('1</span> <span class="pre">+</span> <span class="pre">2j')</span></tt> raises
<a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a>.</p>
</div>
<p>The complex type is described in <a class="reference internal" href="stdtypes.html#typesnumeric"><em>Numeric Types — int, float, long, complex</em></a>.</p>
</dd></dl>
<dl class="function">
<dt id="delattr">
<tt class="descname">delattr</tt><big>(</big><em>object</em>, <em>name</em><big>)</big><a class="headerlink" href="#delattr" title="Permalink to this definition">¶</a></dt>
<dd><p>This is a relative of <a class="reference internal" href="#setattr" title="setattr"><tt class="xref py py-func docutils literal"><span class="pre">setattr()</span></tt></a>. The arguments are an object and a
string. The string must be the name of one of the object’s attributes. The
function deletes the named attribute, provided the object allows it. For
example, <tt class="docutils literal"><span class="pre">delattr(x,</span> <span class="pre">'foobar')</span></tt> is equivalent to <tt class="docutils literal"><span class="pre">del</span> <span class="pre">x.foobar</span></tt>.</p>
</dd></dl>
<span class="target" id="func-dict"></span><dl class="function">
<dt>
<tt class="descname">dict</tt><big>(</big><em>**kwarg</em><big>)</big></dt>
<dt>
<tt class="descname">dict</tt><big>(</big><em>mapping</em>, <em>**kwarg</em><big>)</big></dt>
<dt>
<tt class="descname">dict</tt><big>(</big><em>iterable</em>, <em>**kwarg</em><big>)</big></dt>
<dd><p>Create a new dictionary. The <a class="reference internal" href="stdtypes.html#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a> object is the dictionary class.
See <a class="reference internal" href="stdtypes.html#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a> and <a class="reference internal" href="stdtypes.html#typesmapping"><em>Mapping Types — dict</em></a> for documentation about this
class.</p>
<p>For other containers see the built-in <a class="reference internal" href="#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>, <a class="reference internal" href="stdtypes.html#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a>, and
<a class="reference internal" href="#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a> classes, as well as the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a> module.</p>
</dd></dl>
<dl class="function">
<dt id="dir">
<tt class="descname">dir</tt><big>(</big><span class="optional">[</span><em>object</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#dir" title="Permalink to this definition">¶</a></dt>
<dd><p>Without arguments, return the list of names in the current local scope. With an
argument, attempt to return a list of valid attributes for that object.</p>
<p>If the object has a method named <tt class="xref py py-meth docutils literal"><span class="pre">__dir__()</span></tt>, this method will be called and
must return the list of attributes. This allows objects that implement a custom
<a class="reference internal" href="../reference/datamodel.html#object.__getattr__" title="object.__getattr__"><tt class="xref py py-func docutils literal"><span class="pre">__getattr__()</span></tt></a> or <a class="reference internal" href="../reference/datamodel.html#object.__getattribute__" title="object.__getattribute__"><tt class="xref py py-func docutils literal"><span class="pre">__getattribute__()</span></tt></a> function to customize the way
<a class="reference internal" href="#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a> reports their attributes.</p>
<p>If the object does not provide <tt class="xref py py-meth docutils literal"><span class="pre">__dir__()</span></tt>, the function tries its best to
gather information from the object’s <tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> attribute, if defined, and
from its type object. The resulting list is not necessarily complete, and may
be inaccurate when the object has a custom <a class="reference internal" href="../reference/datamodel.html#object.__getattr__" title="object.__getattr__"><tt class="xref py py-func docutils literal"><span class="pre">__getattr__()</span></tt></a>.</p>
<p>The default <a class="reference internal" href="#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a> mechanism behaves differently with different types of
objects, as it attempts to produce the most relevant, rather than complete,
information:</p>
<ul class="simple">
<li>If the object is a module object, the list contains the names of the module’s
attributes.</li>
<li>If the object is a type or class object, the list contains the names of its
attributes, and recursively of the attributes of its bases.</li>
<li>Otherwise, the list contains the object’s attributes’ names, the names of its
class’s attributes, and recursively of the attributes of its class’s base
classes.</li>
</ul>
<p>The resulting list is sorted alphabetically. For example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">import</span> <span class="nn">struct</span>
<span class="gp">>>> </span><span class="nb">dir</span><span class="p">()</span> <span class="c"># show the names in the module namespace</span>
<span class="go">['__builtins__', '__doc__', '__name__', 'struct']</span>
<span class="gp">>>> </span><span class="nb">dir</span><span class="p">(</span><span class="n">struct</span><span class="p">)</span> <span class="c"># show the names in the struct module</span>
<span class="go">['Struct', '__builtins__', '__doc__', '__file__', '__name__',</span>
<span class="go"> '__package__', '_clearcache', 'calcsize', 'error', 'pack', 'pack_into',</span>
<span class="go"> 'unpack', 'unpack_from']</span>
<span class="gp">>>> </span><span class="k">class</span> <span class="nc">Shape</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="go"> def __dir__(self):</span>
<span class="go"> return ['area', 'perimeter', 'location']</span>
<span class="gp">>>> </span><span class="n">s</span> <span class="o">=</span> <span class="n">Shape</span><span class="p">()</span>
<span class="gp">>>> </span><span class="nb">dir</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="go">['area', 'perimeter', 'location']</span>
</pre></div>
</div>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Because <a class="reference internal" href="#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a> is supplied primarily as a convenience for use at an
interactive prompt, it tries to supply an interesting set of names more than it
tries to supply a rigorously or consistently defined set of names, and its
detailed behavior may change across releases. For example, metaclass attributes
are not in the result list when the argument is a class.</p>
</div>
</dd></dl>
<dl class="function">
<dt id="divmod">
<tt class="descname">divmod</tt><big>(</big><em>a</em>, <em>b</em><big>)</big><a class="headerlink" href="#divmod" title="Permalink to this definition">¶</a></dt>
<dd><p>Take two (non complex) numbers as arguments and return a pair of numbers
consisting of their quotient and remainder when using long division. With mixed
operand types, the rules for binary arithmetic operators apply. For plain and
long integers, the result is the same as <tt class="docutils literal"><span class="pre">(a</span> <span class="pre">//</span> <span class="pre">b,</span> <span class="pre">a</span> <span class="pre">%</span> <span class="pre">b)</span></tt>. For floating point
numbers the result is <tt class="docutils literal"><span class="pre">(q,</span> <span class="pre">a</span> <span class="pre">%</span> <span class="pre">b)</span></tt>, where <em>q</em> is usually <tt class="docutils literal"><span class="pre">math.floor(a</span> <span class="pre">/</span> <span class="pre">b)</span></tt>
but may be 1 less than that. In any case <tt class="docutils literal"><span class="pre">q</span> <span class="pre">*</span> <span class="pre">b</span> <span class="pre">+</span> <span class="pre">a</span> <span class="pre">%</span> <span class="pre">b</span></tt> is very close to
<em>a</em>, if <tt class="docutils literal"><span class="pre">a</span> <span class="pre">%</span> <span class="pre">b</span></tt> is non-zero it has the same sign as <em>b</em>, and <tt class="docutils literal"><span class="pre">0</span> <span class="pre"><=</span> <span class="pre">abs(a</span> <span class="pre">%</span> <span class="pre">b)</span>
<span class="pre"><</span> <span class="pre">abs(b)</span></tt>.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Using <a class="reference internal" href="#divmod" title="divmod"><tt class="xref py py-func docutils literal"><span class="pre">divmod()</span></tt></a> with complex numbers is deprecated.</p>
</dd></dl>
<dl class="function">
<dt id="enumerate">
<tt class="descname">enumerate</tt><big>(</big><em>sequence</em>, <em>start=0</em><big>)</big><a class="headerlink" href="#enumerate" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an enumerate object. <em>sequence</em> must be a sequence, an
<a class="reference internal" href="../glossary.html#term-iterator"><em class="xref std std-term">iterator</em></a>, or some other object which supports iteration. The
<tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt> method of the iterator returned by <a class="reference internal" href="#enumerate" title="enumerate"><tt class="xref py py-func docutils literal"><span class="pre">enumerate()</span></tt></a> returns a
tuple containing a count (from <em>start</em> which defaults to 0) and the
values obtained from iterating over <em>sequence</em>:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">seasons</span> <span class="o">=</span> <span class="p">[</span><span class="s">'Spring'</span><span class="p">,</span> <span class="s">'Summer'</span><span class="p">,</span> <span class="s">'Fall'</span><span class="p">,</span> <span class="s">'Winter'</span><span class="p">]</span>
<span class="gp">>>> </span><span class="nb">list</span><span class="p">(</span><span class="nb">enumerate</span><span class="p">(</span><span class="n">seasons</span><span class="p">))</span>
<span class="go">[(0, 'Spring'), (1, 'Summer'), (2, 'Fall'), (3, 'Winter')]</span>
<span class="gp">>>> </span><span class="nb">list</span><span class="p">(</span><span class="nb">enumerate</span><span class="p">(</span><span class="n">seasons</span><span class="p">,</span> <span class="n">start</span><span class="o">=</span><span class="mi">1</span><span class="p">))</span>
<span class="go">[(1, 'Spring'), (2, 'Summer'), (3, 'Fall'), (4, 'Winter')]</span>
</pre></div>
</div>
<p>Equivalent to:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">def</span> <span class="nf">enumerate</span><span class="p">(</span><span class="n">sequence</span><span class="p">,</span> <span class="n">start</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
<span class="n">n</span> <span class="o">=</span> <span class="n">start</span>
<span class="k">for</span> <span class="n">elem</span> <span class="ow">in</span> <span class="n">sequence</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">n</span><span class="p">,</span> <span class="n">elem</span>
<span class="n">n</span> <span class="o">+=</span> <span class="mi">1</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>The <em>start</em> parameter was added.</p>
</dd></dl>
<dl class="function">
<dt id="eval">
<tt class="descname">eval</tt><big>(</big><em>expression</em><span class="optional">[</span>, <em>globals</em><span class="optional">[</span>, <em>locals</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#eval" title="Permalink to this definition">¶</a></dt>
<dd><p>The arguments are a string and optional globals and locals. If provided,
<em>globals</em> must be a dictionary. If provided, <em>locals</em> can be any mapping
object.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>formerly <em>locals</em> was required to be a dictionary.</p>
<p>The <em>expression</em> argument is parsed and evaluated as a Python expression
(technically speaking, a condition list) using the <em>globals</em> and <em>locals</em>
dictionaries as global and local namespace. If the <em>globals</em> dictionary is
present and lacks ‘__builtins__’, the current globals are copied into <em>globals</em>
before <em>expression</em> is parsed. This means that <em>expression</em> normally has full
access to the standard <a class="reference internal" href="__builtin__.html#module-__builtin__" title="__builtin__: The module that provides the built-in namespace."><tt class="xref py py-mod docutils literal"><span class="pre">__builtin__</span></tt></a> module and restricted environments are
propagated. If the <em>locals</em> dictionary is omitted it defaults to the <em>globals</em>
dictionary. If both dictionaries are omitted, the expression is executed in the
environment where <a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a> is called. The return value is the result of
the evaluated expression. Syntax errors are reported as exceptions. Example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">x</span> <span class="o">=</span> <span class="mi">1</span>
<span class="gp">>>> </span><span class="k">print</span> <span class="nb">eval</span><span class="p">(</span><span class="s">'x+1'</span><span class="p">)</span>
<span class="go">2</span>
</pre></div>
</div>
<p>This function can also be used to execute arbitrary code objects (such as
those created by <a class="reference internal" href="#compile" title="compile"><tt class="xref py py-func docutils literal"><span class="pre">compile()</span></tt></a>). In this case pass a code object instead
of a string. If the code object has been compiled with <tt class="docutils literal"><span class="pre">'exec'</span></tt> as the
<em>mode</em> argument, <a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a>‘s return value will be <tt class="docutils literal"><span class="pre">None</span></tt>.</p>
<p>Hints: dynamic execution of statements is supported by the <a class="reference internal" href="../reference/simple_stmts.html#exec"><tt class="xref std std-keyword docutils literal"><span class="pre">exec</span></tt></a>
statement. Execution of statements from a file is supported by the
<a class="reference internal" href="#execfile" title="execfile"><tt class="xref py py-func docutils literal"><span class="pre">execfile()</span></tt></a> function. The <a class="reference internal" href="#globals" title="globals"><tt class="xref py py-func docutils literal"><span class="pre">globals()</span></tt></a> and <a class="reference internal" href="#locals" title="locals"><tt class="xref py py-func docutils literal"><span class="pre">locals()</span></tt></a> functions
returns the current global and local dictionary, respectively, which may be
useful to pass around for use by <a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a> or <a class="reference internal" href="#execfile" title="execfile"><tt class="xref py py-func docutils literal"><span class="pre">execfile()</span></tt></a>.</p>
<p>See <a class="reference internal" href="ast.html#ast.literal_eval" title="ast.literal_eval"><tt class="xref py py-func docutils literal"><span class="pre">ast.literal_eval()</span></tt></a> for a function that can safely evaluate strings
with expressions containing only literals.</p>
</dd></dl>
<dl class="function">
<dt id="execfile">
<tt class="descname">execfile</tt><big>(</big><em>filename</em><span class="optional">[</span>, <em>globals</em><span class="optional">[</span>, <em>locals</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#execfile" title="Permalink to this definition">¶</a></dt>
<dd><p>This function is similar to the <a class="reference internal" href="../reference/simple_stmts.html#exec"><tt class="xref std std-keyword docutils literal"><span class="pre">exec</span></tt></a> statement, but parses a file
instead of a string. It is different from the <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> statement in
that it does not use the module administration — it reads the file
unconditionally and does not create a new module. <a class="footnote-reference" href="#id3" id="id1">[1]</a></p>
<p>The arguments are a file name and two optional dictionaries. The file is parsed
and evaluated as a sequence of Python statements (similarly to a module) using
the <em>globals</em> and <em>locals</em> dictionaries as global and local namespace. If
provided, <em>locals</em> can be any mapping object. Remember that at module level,
globals and locals are the same dictionary. If two separate objects are
passed as <em>globals</em> and <em>locals</em>, the code will be executed as if it were
embedded in a class definition.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>formerly <em>locals</em> was required to be a dictionary.</p>
<p>If the <em>locals</em> dictionary is omitted it defaults to the <em>globals</em> dictionary.
If both dictionaries are omitted, the expression is executed in the environment
where <a class="reference internal" href="#execfile" title="execfile"><tt class="xref py py-func docutils literal"><span class="pre">execfile()</span></tt></a> is called. The return value is <tt class="docutils literal"><span class="pre">None</span></tt>.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">The default <em>locals</em> act as described for function <a class="reference internal" href="#locals" title="locals"><tt class="xref py py-func docutils literal"><span class="pre">locals()</span></tt></a> below:
modifications to the default <em>locals</em> dictionary should not be attempted. Pass
an explicit <em>locals</em> dictionary if you need to see effects of the code on
<em>locals</em> after function <a class="reference internal" href="#execfile" title="execfile"><tt class="xref py py-func docutils literal"><span class="pre">execfile()</span></tt></a> returns. <a class="reference internal" href="#execfile" title="execfile"><tt class="xref py py-func docutils literal"><span class="pre">execfile()</span></tt></a> cannot be
used reliably to modify a function’s locals.</p>
</div>
</dd></dl>
<dl class="function">
<dt id="file">
<tt class="descname">file</tt><big>(</big><em>name</em><span class="optional">[</span>, <em>mode</em><span class="optional">[</span>, <em>buffering</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#file" title="Permalink to this definition">¶</a></dt>
<dd><p>Constructor function for the <a class="reference internal" href="#file" title="file"><tt class="xref py py-class docutils literal"><span class="pre">file</span></tt></a> type, described further in section
<a class="reference internal" href="stdtypes.html#bltin-file-objects"><em>File Objects</em></a>. The constructor’s arguments are the same as those
of the <a class="reference internal" href="#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a> built-in function described below.</p>
<p>When opening a file, it’s preferable to use <a class="reference internal" href="#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a> instead of invoking
this constructor directly. <a class="reference internal" href="#file" title="file"><tt class="xref py py-class docutils literal"><span class="pre">file</span></tt></a> is more suited to type testing (for
example, writing <tt class="docutils literal"><span class="pre">isinstance(f,</span> <span class="pre">file)</span></tt>).</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>
<dl class="function">
<dt id="filter">
<tt class="descname">filter</tt><big>(</big><em>function</em>, <em>iterable</em><big>)</big><a class="headerlink" href="#filter" title="Permalink to this definition">¶</a></dt>
<dd><p>Construct a list from those elements of <em>iterable</em> for which <em>function</em> returns
true. <em>iterable</em> may be either a sequence, a container which supports
iteration, or an iterator. If <em>iterable</em> is a string or a tuple, the result
also has that type; otherwise it is always a list. If <em>function</em> is <tt class="docutils literal"><span class="pre">None</span></tt>,
the identity function is assumed, that is, all elements of <em>iterable</em> that are
false are removed.</p>
<p>Note that <tt class="docutils literal"><span class="pre">filter(function,</span> <span class="pre">iterable)</span></tt> is equivalent to <tt class="docutils literal"><span class="pre">[item</span> <span class="pre">for</span> <span class="pre">item</span> <span class="pre">in</span>
<span class="pre">iterable</span> <span class="pre">if</span> <span class="pre">function(item)]</span></tt> if function is not <tt class="docutils literal"><span class="pre">None</span></tt> and <tt class="docutils literal"><span class="pre">[item</span> <span class="pre">for</span> <span class="pre">item</span>
<span class="pre">in</span> <span class="pre">iterable</span> <span class="pre">if</span> <span class="pre">item]</span></tt> if function is <tt class="docutils literal"><span class="pre">None</span></tt>.</p>
<p>See <a class="reference internal" href="itertools.html#itertools.ifilter" title="itertools.ifilter"><tt class="xref py py-func docutils literal"><span class="pre">itertools.ifilter()</span></tt></a> and <a class="reference internal" href="itertools.html#itertools.ifilterfalse" title="itertools.ifilterfalse"><tt class="xref py py-func docutils literal"><span class="pre">itertools.ifilterfalse()</span></tt></a> for iterator
versions of this function, including a variation that filters for elements
where the <em>function</em> returns false.</p>
</dd></dl>
<dl class="function">
<dt id="float">
<tt class="descname">float</tt><big>(</big><span class="optional">[</span><em>x</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#float" title="Permalink to this definition">¶</a></dt>
<dd><p>Convert a string or a number to floating point. If the argument is a string, it
must contain a possibly signed decimal or floating point number, possibly
embedded in whitespace. The argument may also be [+|-]nan or [+|-]inf.
Otherwise, the argument may be a plain or long integer
or a floating point number, and a floating point number with the same value
(within Python’s floating point precision) is returned. If no argument is
given, returns <tt class="docutils literal"><span class="pre">0.0</span></tt>.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last" id="index-2">When passing in a string, values for NaN and Infinity may be returned, depending
on the underlying C library. Float accepts the strings nan, inf and -inf for
NaN and positive or negative infinity. The case and a leading + are ignored as
well as a leading - is ignored for NaN. Float always represents NaN and infinity
as nan, inf or -inf.</p>
</div>
<p>The float type is described in <a class="reference internal" href="stdtypes.html#typesnumeric"><em>Numeric Types — int, float, long, complex</em></a>.</p>
</dd></dl>
<dl class="function">
<dt id="format">
<tt class="descname">format</tt><big>(</big><em>value</em><span class="optional">[</span>, <em>format_spec</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#format" title="Permalink to this definition">¶</a></dt>
<dd><p id="index-3">Convert a <em>value</em> to a “formatted” representation, as controlled by
<em>format_spec</em>. The interpretation of <em>format_spec</em> will depend on the type
of the <em>value</em> argument, however there is a standard formatting syntax that
is used by most built-in types: <a class="reference internal" href="string.html#formatspec"><em>Format Specification Mini-Language</em></a>.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last"><tt class="docutils literal"><span class="pre">format(value,</span> <span class="pre">format_spec)</span></tt> merely calls
<tt class="docutils literal"><span class="pre">value.__format__(format_spec)</span></tt>.</p>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>
<span class="target" id="func-frozenset"></span><dl class="function">
<dt>
<tt class="descname">frozenset</tt><big>(</big><span class="optional">[</span><em>iterable</em><span class="optional">]</span><big>)</big></dt>
<dd><p>Return a new <a class="reference internal" href="stdtypes.html#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a> object, optionally with elements taken from
<em>iterable</em>. <tt class="docutils literal"><span class="pre">frozenset</span></tt> is a built-in class. See <a class="reference internal" href="stdtypes.html#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a> and
<a class="reference internal" href="stdtypes.html#types-set"><em>Set Types — set, frozenset</em></a> for documentation about this class.</p>
<p>For other containers see the built-in <a class="reference internal" href="stdtypes.html#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a>, <a class="reference internal" href="#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>,
<a class="reference internal" href="#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a>, and <a class="reference internal" href="stdtypes.html#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a> classes, as well as the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a>
module.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.4.</span></p>
</dd></dl>
<dl class="function">
<dt id="getattr">
<tt class="descname">getattr</tt><big>(</big><em>object</em>, <em>name</em><span class="optional">[</span>, <em>default</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#getattr" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the value of the named attribute of <em>object</em>. <em>name</em> must be a string.
If the string is the name of one of the object’s attributes, the result is the
value of that attribute. For example, <tt class="docutils literal"><span class="pre">getattr(x,</span> <span class="pre">'foobar')</span></tt> is equivalent to
<tt class="docutils literal"><span class="pre">x.foobar</span></tt>. If the named attribute does not exist, <em>default</em> is returned if
provided, otherwise <a class="reference internal" href="exceptions.html#exceptions.AttributeError" title="exceptions.AttributeError"><tt class="xref py py-exc docutils literal"><span class="pre">AttributeError</span></tt></a> is raised.</p>
</dd></dl>
<dl class="function">
<dt id="globals">
<tt class="descname">globals</tt><big>(</big><big>)</big><a class="headerlink" href="#globals" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a dictionary representing the current global symbol table. This is always
the dictionary of the current module (inside a function or method, this is the
module where it is defined, not the module from which it is called).</p>
</dd></dl>
<dl class="function">
<dt id="hasattr">
<tt class="descname">hasattr</tt><big>(</big><em>object</em>, <em>name</em><big>)</big><a class="headerlink" href="#hasattr" title="Permalink to this definition">¶</a></dt>
<dd><p>The arguments are an object and a string. The result is <tt class="docutils literal"><span class="pre">True</span></tt> if the string
is the name of one of the object’s attributes, <tt class="docutils literal"><span class="pre">False</span></tt> if not. (This is
implemented by calling <tt class="docutils literal"><span class="pre">getattr(object,</span> <span class="pre">name)</span></tt> and seeing whether it raises an
exception or not.)</p>
</dd></dl>
<dl class="function">
<dt id="hash">
<tt class="descname">hash</tt><big>(</big><em>object</em><big>)</big><a class="headerlink" href="#hash" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the hash value of the object (if it has one). Hash values are integers.
They are used to quickly compare dictionary keys during a dictionary lookup.
Numeric values that compare equal have the same hash value (even if they are of
different types, as is the case for 1 and 1.0).</p>
</dd></dl>
<dl class="function">
<dt id="help">
<tt class="descname">help</tt><big>(</big><span class="optional">[</span><em>object</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#help" title="Permalink to this definition">¶</a></dt>
<dd><p>Invoke the built-in help system. (This function is intended for interactive
use.) If no argument is given, the interactive help system starts on the
interpreter console. If the argument is a string, then the string is looked up
as the name of a module, function, class, method, keyword, or documentation
topic, and a help page is printed on the console. If the argument is any other
kind of object, a help page on the object is generated.</p>
<p>This function is added to the built-in namespace by the <a class="reference internal" href="site.html#module-site" title="site: Module responsible for site-specific configuration."><tt class="xref py py-mod docutils literal"><span class="pre">site</span></tt></a> module.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>
<dl class="function">
<dt id="hex">
<tt class="descname">hex</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#hex" title="Permalink to this definition">¶</a></dt>
<dd><p>Convert an integer number (of any size) to a hexadecimal string. The result is a
valid Python expression.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">To obtain a hexadecimal string representation for a float, use the
<a class="reference internal" href="stdtypes.html#float.hex" title="float.hex"><tt class="xref py py-meth docutils literal"><span class="pre">float.hex()</span></tt></a> method.</p>
</div>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Formerly only returned an unsigned literal.</p>
</dd></dl>
<dl class="function">
<dt id="id">
<tt class="descname">id</tt><big>(</big><em>object</em><big>)</big><a class="headerlink" href="#id" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the “identity” of an object. This is an integer (or long integer) which
is guaranteed to be unique and constant for this object during its lifetime.
Two objects with non-overlapping lifetimes may have the same <a class="reference internal" href="#id" title="id"><tt class="xref py py-func docutils literal"><span class="pre">id()</span></tt></a>
value.</p>
<div class="impl-detail compound">
<p><strong>CPython implementation detail:</strong> This is the address of the object in memory.</p>
</div>
</dd></dl>
<dl class="function">
<dt id="input">
<tt class="descname">input</tt><big>(</big><span class="optional">[</span><em>prompt</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#input" title="Permalink to this definition">¶</a></dt>
<dd><p>Equivalent to <tt class="docutils literal"><span class="pre">eval(raw_input(prompt))</span></tt>.</p>
<p>This function does not catch user errors. If the input is not syntactically
valid, a <a class="reference internal" href="exceptions.html#exceptions.SyntaxError" title="exceptions.SyntaxError"><tt class="xref py py-exc docutils literal"><span class="pre">SyntaxError</span></tt></a> will be raised. Other exceptions may be raised if
there is an error during evaluation.</p>
<p>If the <a class="reference internal" href="readline.html#module-readline" title="readline: GNU readline support for Python. (Unix)"><tt class="xref py py-mod docutils literal"><span class="pre">readline</span></tt></a> module was loaded, then <a class="reference internal" href="#input" title="input"><tt class="xref py py-func docutils literal"><span class="pre">input()</span></tt></a> will use it to
provide elaborate line editing and history features.</p>
<p>Consider using the <a class="reference internal" href="#raw_input" title="raw_input"><tt class="xref py py-func docutils literal"><span class="pre">raw_input()</span></tt></a> function for general input from users.</p>
</dd></dl>
<dl class="function">
<dt id="int">
<tt class="descname">int</tt><big>(</big><em>x=0</em><big>)</big><a class="headerlink" href="#int" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">int</tt><big>(</big><em>x</em>, <em>base=10</em><big>)</big></dt>
<dd><p>Convert a number or string <em>x</em> to an integer, or return <tt class="docutils literal"><span class="pre">0</span></tt> if no
arguments are given. If <em>x</em> is a number, it can be a plain integer, a long
integer, or a floating point number. If <em>x</em> is floating point, the conversion
truncates towards zero. If the argument is outside the integer range, the
function returns a long object instead.</p>
<p>If <em>x</em> is not a number or if <em>base</em> is given, then <em>x</em> must be a string or
Unicode object representing an <a class="reference internal" href="../reference/lexical_analysis.html#integers"><em>integer literal</em></a> in radix
<em>base</em>. Optionally, the literal can be
preceded by <tt class="docutils literal"><span class="pre">+</span></tt> or <tt class="docutils literal"><span class="pre">-</span></tt> (with no space in between) and surrounded by
whitespace. A base-n literal consists of the digits 0 to n-1, with <tt class="docutils literal"><span class="pre">a</span></tt>
to <tt class="docutils literal"><span class="pre">z</span></tt> (or <tt class="docutils literal"><span class="pre">A</span></tt> to <tt class="docutils literal"><span class="pre">Z</span></tt>) having
values 10 to 35. The default <em>base</em> is 10. The allowed values are 0 and 2-36.
Base-2, -8, and -16 literals can be optionally prefixed with <tt class="docutils literal"><span class="pre">0b</span></tt>/<tt class="docutils literal"><span class="pre">0B</span></tt>,
<tt class="docutils literal"><span class="pre">0o</span></tt>/<tt class="docutils literal"><span class="pre">0O</span></tt>/<tt class="docutils literal"><span class="pre">0</span></tt>, or <tt class="docutils literal"><span class="pre">0x</span></tt>/<tt class="docutils literal"><span class="pre">0X</span></tt>, as with integer literals in code.
Base 0 means to interpret the string exactly as an integer literal, so that
the actual base is 2, 8, 10, or 16.</p>
<p>The integer type is described in <a class="reference internal" href="stdtypes.html#typesnumeric"><em>Numeric Types — int, float, long, complex</em></a>.</p>
</dd></dl>
<dl class="function">
<dt id="isinstance">
<tt class="descname">isinstance</tt><big>(</big><em>object</em>, <em>classinfo</em><big>)</big><a class="headerlink" href="#isinstance" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if the <em>object</em> argument is an instance of the <em>classinfo</em> argument,
or of a (direct, indirect or <a class="reference internal" href="../glossary.html#term-abstract-base-class"><em class="xref std std-term">virtual</em></a>) subclass
thereof. Also return true if <em>classinfo</em>
is a type object (new-style class) and <em>object</em> is an object of that type or of
a (direct, indirect or <a class="reference internal" href="../glossary.html#term-abstract-base-class"><em class="xref std std-term">virtual</em></a>) subclass
thereof. If <em>object</em> is not a class instance or
an object of the given type, the function always returns false. If <em>classinfo</em>
is neither a class object nor a type object, it may be a tuple of class or type
objects, or may recursively contain other such tuples (other sequence types are
not accepted). If <em>classinfo</em> is not a class, type, or tuple of classes, types,
and such tuples, a <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> exception is raised.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.2: </span>Support for a tuple of type information was added.</p>
</dd></dl>
<dl class="function">
<dt id="issubclass">
<tt class="descname">issubclass</tt><big>(</big><em>class</em>, <em>classinfo</em><big>)</big><a class="headerlink" href="#issubclass" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if <em>class</em> is a subclass (direct, indirect or <a class="reference internal" href="../glossary.html#term-abstract-base-class"><em class="xref std std-term">virtual</em></a>) of <em>classinfo</em>. A
class is considered a subclass of itself. <em>classinfo</em> may be a tuple of class
objects, in which case every entry in <em>classinfo</em> will be checked. In any other
case, a <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> exception is raised.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Support for a tuple of type information was added.</p>
</dd></dl>
<dl class="function">
<dt id="iter">
<tt class="descname">iter</tt><big>(</big><em>o</em><span class="optional">[</span>, <em>sentinel</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#iter" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an <a class="reference internal" href="../glossary.html#term-iterator"><em class="xref std std-term">iterator</em></a> object. The first argument is interpreted very differently
depending on the presence of the second argument. Without a second argument, <em>o</em>
must be a collection object which supports the iteration protocol (the
<a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><tt class="xref py py-meth docutils literal"><span class="pre">__iter__()</span></tt></a> method), or it must support the sequence protocol (the
<a class="reference internal" href="../reference/datamodel.html#object.__getitem__" title="object.__getitem__"><tt class="xref py py-meth docutils literal"><span class="pre">__getitem__()</span></tt></a> method with integer arguments starting at <tt class="docutils literal"><span class="pre">0</span></tt>). If it
does not support either of those protocols, <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> is raised. If the
second argument, <em>sentinel</em>, is given, then <em>o</em> must be a callable object. The
iterator created in this case will call <em>o</em> with no arguments for each call to
its <a class="reference internal" href="stdtypes.html#iterator.next" title="iterator.next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a> method; if the value returned is equal to <em>sentinel</em>,
<a class="reference internal" href="exceptions.html#exceptions.StopIteration" title="exceptions.StopIteration"><tt class="xref py py-exc docutils literal"><span class="pre">StopIteration</span></tt></a> will be raised, otherwise the value will be returned.</p>
<p>One useful application of the second form of <a class="reference internal" href="#iter" title="iter"><tt class="xref py py-func docutils literal"><span class="pre">iter()</span></tt></a> is to read lines of
a file until a certain line is reached. The following example reads a file
until the <a class="reference internal" href="readline.html#module-readline" title="readline: GNU readline support for Python. (Unix)"><tt class="xref py py-meth docutils literal"><span class="pre">readline()</span></tt></a> method returns an empty string:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">with</span> <span class="nb">open</span><span class="p">(</span><span class="s">'mydata.txt'</span><span class="p">)</span> <span class="k">as</span> <span class="n">fp</span><span class="p">:</span>
<span class="k">for</span> <span class="n">line</span> <span class="ow">in</span> <span class="nb">iter</span><span class="p">(</span><span class="n">fp</span><span class="o">.</span><span class="n">readline</span><span class="p">,</span> <span class="s">''</span><span class="p">):</span>
<span class="n">process_line</span><span class="p">(</span><span class="n">line</span><span class="p">)</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>
<dl class="function">
<dt id="len">
<tt class="descname">len</tt><big>(</big><em>s</em><big>)</big><a class="headerlink" href="#len" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the length (the number of items) of an object. The argument may be a
sequence (string, tuple or list) or a mapping (dictionary).</p>
</dd></dl>
<dl class="function">
<dt id="list">
<tt class="descname">list</tt><big>(</big><span class="optional">[</span><em>iterable</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#list" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a list whose items are the same and in the same order as <em>iterable</em>‘s
items. <em>iterable</em> may be either a sequence, a container that supports
iteration, or an iterator object. If <em>iterable</em> is already a list, a copy is
made and returned, similar to <tt class="docutils literal"><span class="pre">iterable[:]</span></tt>. For instance, <tt class="docutils literal"><span class="pre">list('abc')</span></tt>
returns <tt class="docutils literal"><span class="pre">['a',</span> <span class="pre">'b',</span> <span class="pre">'c']</span></tt> and <tt class="docutils literal"><span class="pre">list(</span> <span class="pre">(1,</span> <span class="pre">2,</span> <span class="pre">3)</span> <span class="pre">)</span></tt> returns <tt class="docutils literal"><span class="pre">[1,</span> <span class="pre">2,</span> <span class="pre">3]</span></tt>. If
no argument is given, returns a new empty list, <tt class="docutils literal"><span class="pre">[]</span></tt>.</p>
<p><a class="reference internal" href="#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a> is a mutable sequence type, as documented in
<a class="reference internal" href="stdtypes.html#typesseq"><em>Sequence Types — str, unicode, list, tuple, bytearray, buffer, xrange</em></a>. For other containers see the built in <a class="reference internal" href="stdtypes.html#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a>,
<a class="reference internal" href="stdtypes.html#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a>, and <a class="reference internal" href="#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a> classes, and the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a> module.</p>
</dd></dl>
<dl class="function">
<dt id="locals">
<tt class="descname">locals</tt><big>(</big><big>)</big><a class="headerlink" href="#locals" title="Permalink to this definition">¶</a></dt>
<dd><p>Update and return a dictionary representing the current local symbol table.
Free variables are returned by <a class="reference internal" href="#locals" title="locals"><tt class="xref py py-func docutils literal"><span class="pre">locals()</span></tt></a> when it is called in function
blocks, but not in class blocks.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">The contents of this dictionary should not be modified; changes may not
affect the values of local and free variables used by the interpreter.</p>
</div>
</dd></dl>
<dl class="function">
<dt id="long">
<tt class="descname">long</tt><big>(</big><em>x=0</em><big>)</big><a class="headerlink" href="#long" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">long</tt><big>(</big><em>x</em>, <em>base=10</em><big>)</big></dt>
<dd><p>Convert a string or number to a long integer. If the argument is a string, it
must contain a possibly signed number of arbitrary size, possibly embedded in
whitespace. The <em>base</em> argument is interpreted in the same way as for
<a class="reference internal" href="#int" title="int"><tt class="xref py py-func docutils literal"><span class="pre">int()</span></tt></a>, and may only be given when <em>x</em> is a string. Otherwise, the argument
may be a plain or long integer or a floating point number, and a long integer
with the same value is returned. Conversion of floating point numbers to
integers truncates (towards zero). If no arguments are given, returns <tt class="docutils literal"><span class="pre">0L</span></tt>.</p>
<p>The long type is described in <a class="reference internal" href="stdtypes.html#typesnumeric"><em>Numeric Types — int, float, long, complex</em></a>.</p>
</dd></dl>
<dl class="function">
<dt id="map">
<tt class="descname">map</tt><big>(</big><em>function</em>, <em>iterable</em>, <em>...</em><big>)</big><a class="headerlink" href="#map" title="Permalink to this definition">¶</a></dt>
<dd><p>Apply <em>function</em> to every item of <em>iterable</em> and return a list of the results.
If additional <em>iterable</em> arguments are passed, <em>function</em> must take that many
arguments and is applied to the items from all iterables in parallel. If one
iterable is shorter than another it is assumed to be extended with <tt class="docutils literal"><span class="pre">None</span></tt>
items. If <em>function</em> is <tt class="docutils literal"><span class="pre">None</span></tt>, the identity function is assumed; if there
are multiple arguments, <a class="reference internal" href="#map" title="map"><tt class="xref py py-func docutils literal"><span class="pre">map()</span></tt></a> returns a list consisting of tuples
containing the corresponding items from all iterables (a kind of transpose
operation). The <em>iterable</em> arguments may be a sequence or any iterable object;
the result is always a list.</p>
</dd></dl>
<dl class="function">
<dt id="max">
<tt class="descname">max</tt><big>(</big><em>iterable</em><span class="optional">[</span>, <em>key</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#max" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">max</tt><big>(</big><em>arg1</em>, <em>arg2</em>, <em>*args</em><span class="optional">[</span>, <em>key</em><span class="optional">]</span><big>)</big></dt>
<dd><p>Return the largest item in an iterable or the largest of two or more
arguments.</p>
<p>If one positional argument is provided, <em>iterable</em> must be a non-empty
iterable (such as a non-empty string, tuple or list). The largest item
in the iterable is returned. If two or more positional arguments are
provided, the largest of the positional arguments is returned.</p>
<p>The optional <em>key</em> argument specifies a one-argument ordering function like that
used for <tt class="xref py py-meth docutils literal"><span class="pre">list.sort()</span></tt>. The <em>key</em> argument, if supplied, must be in keyword
form (for example, <tt class="docutils literal"><span class="pre">max(a,b,c,key=func)</span></tt>).</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Added support for the optional <em>key</em> argument.</p>
</dd></dl>
<span class="target" id="func-memoryview"></span><dl class="function">
<dt>
<tt class="descname">memoryview</tt><big>(</big><em>obj</em><big>)</big></dt>
<dd><p>Return a “memory view” object created from the given argument. See
<a class="reference internal" href="stdtypes.html#typememoryview"><em>memoryview type</em></a> for more information.</p>
</dd></dl>
<dl class="function">
<dt id="min">
<tt class="descname">min</tt><big>(</big><em>iterable</em><span class="optional">[</span>, <em>key</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#min" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">min</tt><big>(</big><em>arg1</em>, <em>arg2</em>, <em>*args</em><span class="optional">[</span>, <em>key</em><span class="optional">]</span><big>)</big></dt>
<dd><p>Return the smallest item in an iterable or the smallest of two or more
arguments.</p>
<p>If one positional argument is provided, <em>iterable</em> must be a non-empty
iterable (such as a non-empty string, tuple or list). The smallest item
in the iterable is returned. If two or more positional arguments are
provided, the smallest of the positional arguments is returned.</p>
<p>The optional <em>key</em> argument specifies a one-argument ordering function like that
used for <tt class="xref py py-meth docutils literal"><span class="pre">list.sort()</span></tt>. The <em>key</em> argument, if supplied, must be in keyword
form (for example, <tt class="docutils literal"><span class="pre">min(a,b,c,key=func)</span></tt>).</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Added support for the optional <em>key</em> argument.</p>
</dd></dl>
<dl class="function">
<dt id="next">
<tt class="descname">next</tt><big>(</big><em>iterator</em><span class="optional">[</span>, <em>default</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#next" title="Permalink to this definition">¶</a></dt>
<dd><p>Retrieve the next item from the <em>iterator</em> by calling its
<a class="reference internal" href="stdtypes.html#iterator.next" title="iterator.next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a> method. If <em>default</em> is given, it is returned if the
iterator is exhausted, otherwise <a class="reference internal" href="exceptions.html#exceptions.StopIteration" title="exceptions.StopIteration"><tt class="xref py py-exc docutils literal"><span class="pre">StopIteration</span></tt></a> is raised.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>
<dl class="function">
<dt id="object">
<tt class="descname">object</tt><big>(</big><big>)</big><a class="headerlink" href="#object" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new featureless object. <a class="reference internal" href="#object" title="object"><tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></a> is a base for all new style
classes. It has the methods that are common to all instances of new style
classes.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>This function does not accept any arguments. Formerly, it accepted arguments but
ignored them.</p>
</dd></dl>
<dl class="function">
<dt id="oct">
<tt class="descname">oct</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#oct" title="Permalink to this definition">¶</a></dt>
<dd><p>Convert an integer number (of any size) to an octal string. The result is a
valid Python expression.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Formerly only returned an unsigned literal.</p>
</dd></dl>
<dl class="function">
<dt id="open">
<tt class="descname">open</tt><big>(</big><em>name</em><span class="optional">[</span>, <em>mode</em><span class="optional">[</span>, <em>buffering</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#open" title="Permalink to this definition">¶</a></dt>
<dd><p>Open a file, returning an object of the <a class="reference internal" href="#file" title="file"><tt class="xref py py-class docutils literal"><span class="pre">file</span></tt></a> type described in
section <a class="reference internal" href="stdtypes.html#bltin-file-objects"><em>File Objects</em></a>. If the file cannot be opened,
<a class="reference internal" href="exceptions.html#exceptions.IOError" title="exceptions.IOError"><tt class="xref py py-exc docutils literal"><span class="pre">IOError</span></tt></a> is raised. When opening a file, it’s preferable to use
<a class="reference internal" href="#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a> instead of invoking the <a class="reference internal" href="#file" title="file"><tt class="xref py py-class docutils literal"><span class="pre">file</span></tt></a> constructor directly.</p>
<p>The first two arguments are the same as for <tt class="docutils literal"><span class="pre">stdio</span></tt>‘s <tt class="xref c c-func docutils literal"><span class="pre">fopen()</span></tt>:
<em>name</em> is the file name to be opened, and <em>mode</em> is a string indicating how
the file is to be opened.</p>
<p>The most commonly-used values of <em>mode</em> are <tt class="docutils literal"><span class="pre">'r'</span></tt> for reading, <tt class="docutils literal"><span class="pre">'w'</span></tt> for
writing (truncating the file if it already exists), and <tt class="docutils literal"><span class="pre">'a'</span></tt> for appending
(which on <em>some</em> Unix systems means that <em>all</em> writes append to the end of the
file regardless of the current seek position). If <em>mode</em> is omitted, it
defaults to <tt class="docutils literal"><span class="pre">'r'</span></tt>. The default is to use text mode, which may convert
<tt class="docutils literal"><span class="pre">'\n'</span></tt> characters to a platform-specific representation on writing and back
on reading. Thus, when opening a binary file, you should append <tt class="docutils literal"><span class="pre">'b'</span></tt> to
the <em>mode</em> value to open the file in binary mode, which will improve
portability. (Appending <tt class="docutils literal"><span class="pre">'b'</span></tt> is useful even on systems that don’t treat
binary and text files differently, where it serves as documentation.) See below
for more possible values of <em>mode</em>.</p>
<p id="index-4">The optional <em>buffering</em> argument specifies the file’s desired buffer size: 0
means unbuffered, 1 means line buffered, any other positive value means use a
buffer of (approximately) that size (in bytes). A negative <em>buffering</em> means
to use the system default, which is usually line buffered for tty devices and
fully buffered for other files. If omitted, the system default is used. <a class="footnote-reference" href="#id4" id="id2">[2]</a></p>
<p>Modes <tt class="docutils literal"><span class="pre">'r+'</span></tt>, <tt class="docutils literal"><span class="pre">'w+'</span></tt> and <tt class="docutils literal"><span class="pre">'a+'</span></tt> open the file for updating (note that
<tt class="docutils literal"><span class="pre">'w+'</span></tt> truncates the file). Append <tt class="docutils literal"><span class="pre">'b'</span></tt> to the mode to open the file in
binary mode, on systems that differentiate between binary and text files; on
systems that don’t have this distinction, adding the <tt class="docutils literal"><span class="pre">'b'</span></tt> has no effect.</p>
<p id="index-5">In addition to the standard <tt class="xref c c-func docutils literal"><span class="pre">fopen()</span></tt> values <em>mode</em> may be <tt class="docutils literal"><span class="pre">'U'</span></tt> or
<tt class="docutils literal"><span class="pre">'rU'</span></tt>. Python is usually built with <a class="reference internal" href="../glossary.html#term-universal-newlines"><em class="xref std std-term">universal newlines</em></a> support;
supplying <tt class="docutils literal"><span class="pre">'U'</span></tt> opens the file as a text file, but lines may be terminated
by any of the following: the Unix end-of-line convention <tt class="docutils literal"><span class="pre">'\n'</span></tt>, the
Macintosh convention <tt class="docutils literal"><span class="pre">'\r'</span></tt>, or the Windows convention <tt class="docutils literal"><span class="pre">'\r\n'</span></tt>. All of
these external representations are seen as <tt class="docutils literal"><span class="pre">'\n'</span></tt> by the Python program.
If Python is built without universal newlines support a <em>mode</em> with <tt class="docutils literal"><span class="pre">'U'</span></tt>
is the same as normal text mode. Note that file objects so opened also have
an attribute called <tt class="xref py py-attr docutils literal"><span class="pre">newlines</span></tt> which has a value of <tt class="docutils literal"><span class="pre">None</span></tt> (if no
newlines have yet been seen), <tt class="docutils literal"><span class="pre">'\n'</span></tt>, <tt class="docutils literal"><span class="pre">'\r'</span></tt>, <tt class="docutils literal"><span class="pre">'\r\n'</span></tt>, or a tuple
containing all the newline types seen.</p>
<p>Python enforces that the mode, after stripping <tt class="docutils literal"><span class="pre">'U'</span></tt>, begins with <tt class="docutils literal"><span class="pre">'r'</span></tt>,
<tt class="docutils literal"><span class="pre">'w'</span></tt> or <tt class="docutils literal"><span class="pre">'a'</span></tt>.</p>
<p>Python provides many file handling modules including
<a class="reference internal" href="fileinput.html#module-fileinput" title="fileinput: Loop over standard input or a list of files."><tt class="xref py py-mod docutils literal"><span class="pre">fileinput</span></tt></a>, <a class="reference internal" href="os.html#module-os" title="os: Miscellaneous operating system interfaces."><tt class="xref py py-mod docutils literal"><span class="pre">os</span></tt></a>, <a class="reference internal" href="os.path.html#module-os.path" title="os.path: Operations on pathnames."><tt class="xref py py-mod docutils literal"><span class="pre">os.path</span></tt></a>, <a class="reference internal" href="tempfile.html#module-tempfile" title="tempfile: Generate temporary files and directories."><tt class="xref py py-mod docutils literal"><span class="pre">tempfile</span></tt></a>, and
<a class="reference internal" href="shutil.html#module-shutil" title="shutil: High-level file operations, including copying."><tt class="xref py py-mod docutils literal"><span class="pre">shutil</span></tt></a>.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Restriction on first letter of mode string introduced.</p>
</dd></dl>
<dl class="function">
<dt id="ord">
<tt class="descname">ord</tt><big>(</big><em>c</em><big>)</big><a class="headerlink" href="#ord" title="Permalink to this definition">¶</a></dt>
<dd><p>Given a string of length one, return an integer representing the Unicode code
point of the character when the argument is a unicode object, or the value of
the byte when the argument is an 8-bit string. For example, <tt class="docutils literal"><span class="pre">ord('a')</span></tt> returns
the integer <tt class="docutils literal"><span class="pre">97</span></tt>, <tt class="docutils literal"><span class="pre">ord(u'\u2020')</span></tt> returns <tt class="docutils literal"><span class="pre">8224</span></tt>. This is the inverse of
<a class="reference internal" href="#chr" title="chr"><tt class="xref py py-func docutils literal"><span class="pre">chr()</span></tt></a> for 8-bit strings and of <a class="reference internal" href="#unichr" title="unichr"><tt class="xref py py-func docutils literal"><span class="pre">unichr()</span></tt></a> for unicode objects. If a
unicode argument is given and Python was built with UCS2 Unicode, then the
character’s code point must be in the range [0..65535] inclusive; otherwise the
string length is two, and a <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> will be raised.</p>
</dd></dl>
<dl class="function">
<dt id="pow">
<tt class="descname">pow</tt><big>(</big><em>x</em>, <em>y</em><span class="optional">[</span>, <em>z</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#pow" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <em>x</em> to the power <em>y</em>; if <em>z</em> is present, return <em>x</em> to the power <em>y</em>,
modulo <em>z</em> (computed more efficiently than <tt class="docutils literal"><span class="pre">pow(x,</span> <span class="pre">y)</span> <span class="pre">%</span> <span class="pre">z</span></tt>). The two-argument
form <tt class="docutils literal"><span class="pre">pow(x,</span> <span class="pre">y)</span></tt> is equivalent to using the power operator: <tt class="docutils literal"><span class="pre">x**y</span></tt>.</p>
<p>The arguments must have numeric types. With mixed operand types, the coercion
rules for binary arithmetic operators apply. For int and long int operands, the
result has the same type as the operands (after coercion) unless the second
argument is negative; in that case, all arguments are converted to float and a
float result is delivered. For example, <tt class="docutils literal"><span class="pre">10**2</span></tt> returns <tt class="docutils literal"><span class="pre">100</span></tt>, but
<tt class="docutils literal"><span class="pre">10**-2</span></tt> returns <tt class="docutils literal"><span class="pre">0.01</span></tt>. (This last feature was added in Python 2.2. In
Python 2.1 and before, if both arguments were of integer types and the second
argument was negative, an exception was raised.) If the second argument is
negative, the third argument must be omitted. If <em>z</em> is present, <em>x</em> and <em>y</em>
must be of integer types, and <em>y</em> must be non-negative. (This restriction was
added in Python 2.2. In Python 2.1 and before, floating 3-argument <tt class="docutils literal"><span class="pre">pow()</span></tt>
returned platform-dependent results depending on floating-point rounding
accidents.)</p>
</dd></dl>
<dl class="function">
<dt id="print">
<tt class="descname">print</tt><big>(</big><em>*objects</em>, <em>sep=' '</em>, <em>end='\n'</em>, <em>file=sys.stdout</em><big>)</big><a class="headerlink" href="#print" title="Permalink to this definition">¶</a></dt>
<dd><p>Print <em>objects</em> to the stream <em>file</em>, separated by <em>sep</em> and followed by
<em>end</em>. <em>sep</em>, <em>end</em> and <em>file</em>, if present, must be given as keyword
arguments.</p>
<p>All non-keyword arguments are converted to strings like <a class="reference internal" href="#str" title="str"><tt class="xref py py-func docutils literal"><span class="pre">str()</span></tt></a> does and
written to the stream, separated by <em>sep</em> and followed by <em>end</em>. Both <em>sep</em>
and <em>end</em> must be strings; they can also be <tt class="docutils literal"><span class="pre">None</span></tt>, which means to use the
default values. If no <em>objects</em> are given, <a class="reference internal" href="#print" title="print"><tt class="xref py py-func docutils literal"><span class="pre">print()</span></tt></a> will just write
<em>end</em>.</p>
<p>The <em>file</em> argument must be an object with a <tt class="docutils literal"><span class="pre">write(string)</span></tt> method; if it
is not present or <tt class="docutils literal"><span class="pre">None</span></tt>, <a class="reference internal" href="sys.html#sys.stdout" title="sys.stdout"><tt class="xref py py-data docutils literal"><span class="pre">sys.stdout</span></tt></a> will be used. Output buffering
is determined by <em>file</em>. Use <tt class="docutils literal"><span class="pre">file.flush()</span></tt> to ensure, for instance,
immediate appearance on a screen.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p>This function is not normally available as a built-in since the name
<tt class="docutils literal"><span class="pre">print</span></tt> is recognized as the <a class="reference internal" href="../reference/simple_stmts.html#print"><tt class="xref std std-keyword docutils literal"><span class="pre">print</span></tt></a> statement. To disable the
statement and use the <a class="reference internal" href="#print" title="print"><tt class="xref py py-func docutils literal"><span class="pre">print()</span></tt></a> function, use this future statement at
the top of your module:</p>
<div class="last highlight-python"><div class="highlight"><pre><span class="kn">from</span> <span class="nn">__future__</span> <span class="kn">import</span> <span class="n">print_function</span>
</pre></div>
</div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>
<dl class="function">
<dt id="property">
<tt class="descname">property</tt><big>(</big><span class="optional">[</span><em>fget</em><span class="optional">[</span>, <em>fset</em><span class="optional">[</span>, <em>fdel</em><span class="optional">[</span>, <em>doc</em><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#property" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a property attribute for <a class="reference internal" href="../glossary.html#term-new-style-class"><em class="xref std std-term">new-style class</em></a>es (classes that
derive from <a class="reference internal" href="#object" title="object"><tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></a>).</p>
<p><em>fget</em> is a function for getting an attribute value, likewise <em>fset</em> is a
function for setting, and <em>fdel</em> a function for del’ing, an attribute. Typical
use is to define a managed attribute <tt class="docutils literal"><span class="pre">x</span></tt>:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">class</span> <span class="nc">C</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_x</span> <span class="o">=</span> <span class="bp">None</span>
<span class="k">def</span> <span class="nf">getx</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_x</span>
<span class="k">def</span> <span class="nf">setx</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_x</span> <span class="o">=</span> <span class="n">value</span>
<span class="k">def</span> <span class="nf">delx</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">del</span> <span class="bp">self</span><span class="o">.</span><span class="n">_x</span>
<span class="n">x</span> <span class="o">=</span> <span class="nb">property</span><span class="p">(</span><span class="n">getx</span><span class="p">,</span> <span class="n">setx</span><span class="p">,</span> <span class="n">delx</span><span class="p">,</span> <span class="s">"I'm the 'x' property."</span><span class="p">)</span>
</pre></div>
</div>
<p>If then <em>c</em> is an instance of <em>C</em>, <tt class="docutils literal"><span class="pre">c.x</span></tt> will invoke the getter,
<tt class="docutils literal"><span class="pre">c.x</span> <span class="pre">=</span> <span class="pre">value</span></tt> will invoke the setter and <tt class="docutils literal"><span class="pre">del</span> <span class="pre">c.x</span></tt> the deleter.</p>
<p>If given, <em>doc</em> will be the docstring of the property attribute. Otherwise, the
property will copy <em>fget</em>‘s docstring (if it exists). This makes it possible to
create read-only properties easily using <a class="reference internal" href="#property" title="property"><tt class="xref py py-func docutils literal"><span class="pre">property()</span></tt></a> as a <a class="reference internal" href="../glossary.html#term-decorator"><em class="xref std std-term">decorator</em></a>:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">class</span> <span class="nc">Parrot</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_voltage</span> <span class="o">=</span> <span class="mi">100000</span>
<span class="nd">@property</span>
<span class="k">def</span> <span class="nf">voltage</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">"""Get the current voltage."""</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_voltage</span>
</pre></div>
</div>
<p>turns the <tt class="xref py py-meth docutils literal"><span class="pre">voltage()</span></tt> method into a “getter” for a read-only attribute
with the same name.</p>
<p>A property object has <tt class="xref py py-attr docutils literal"><span class="pre">getter</span></tt>, <tt class="xref py py-attr docutils literal"><span class="pre">setter</span></tt>, and <tt class="xref py py-attr docutils literal"><span class="pre">deleter</span></tt>
methods usable as decorators that create a copy of the property with the
corresponding accessor function set to the decorated function. This is
best explained with an example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">class</span> <span class="nc">C</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_x</span> <span class="o">=</span> <span class="bp">None</span>
<span class="nd">@property</span>
<span class="k">def</span> <span class="nf">x</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">"""I'm the 'x' property."""</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_x</span>
<span class="nd">@x.setter</span>
<span class="k">def</span> <span class="nf">x</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_x</span> <span class="o">=</span> <span class="n">value</span>
<span class="nd">@x.deleter</span>
<span class="k">def</span> <span class="nf">x</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">del</span> <span class="bp">self</span><span class="o">.</span><span class="n">_x</span>
</pre></div>
</div>
<p>This code is exactly equivalent to the first example. Be sure to give the
additional functions the same name as the original property (<tt class="docutils literal"><span class="pre">x</span></tt> in this
case.)</p>
<p>The returned property also has the attributes <tt class="docutils literal"><span class="pre">fget</span></tt>, <tt class="docutils literal"><span class="pre">fset</span></tt>, and
<tt class="docutils literal"><span class="pre">fdel</span></tt> corresponding to the constructor arguments.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Use <em>fget</em>‘s docstring if no <em>doc</em> given.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>The <tt class="docutils literal"><span class="pre">getter</span></tt>, <tt class="docutils literal"><span class="pre">setter</span></tt>, and <tt class="docutils literal"><span class="pre">deleter</span></tt> attributes were added.</p>
</dd></dl>
<dl class="function">
<dt id="range">
<tt class="descname">range</tt><big>(</big><em>stop</em><big>)</big><a class="headerlink" href="#range" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">range</tt><big>(</big><em>start</em>, <em>stop</em><span class="optional">[</span>, <em>step</em><span class="optional">]</span><big>)</big></dt>
<dd><p>This is a versatile function to create lists containing arithmetic progressions.
It is most often used in <a class="reference internal" href="../reference/compound_stmts.html#for"><tt class="xref std std-keyword docutils literal"><span class="pre">for</span></tt></a> loops. The arguments must be plain
integers. If the <em>step</em> argument is omitted, it defaults to <tt class="docutils literal"><span class="pre">1</span></tt>. If the
<em>start</em> argument is omitted, it defaults to <tt class="docutils literal"><span class="pre">0</span></tt>. The full form returns a list
of plain integers <tt class="docutils literal"><span class="pre">[start,</span> <span class="pre">start</span> <span class="pre">+</span> <span class="pre">step,</span> <span class="pre">start</span> <span class="pre">+</span> <span class="pre">2</span> <span class="pre">*</span> <span class="pre">step,</span> <span class="pre">...]</span></tt>. If <em>step</em>
is positive, the last element is the largest <tt class="docutils literal"><span class="pre">start</span> <span class="pre">+</span> <span class="pre">i</span> <span class="pre">*</span> <span class="pre">step</span></tt> less than
<em>stop</em>; if <em>step</em> is negative, the last element is the smallest <tt class="docutils literal"><span class="pre">start</span> <span class="pre">+</span> <span class="pre">i</span> <span class="pre">*</span>
<span class="pre">step</span></tt> greater than <em>stop</em>. <em>step</em> must not be zero (or else <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a>
is raised). Example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
<span class="go">[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]</span>
<span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">11</span><span class="p">)</span>
<span class="go">[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]</span>
<span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">30</span><span class="p">,</span> <span class="mi">5</span><span class="p">)</span>
<span class="go">[0, 5, 10, 15, 20, 25]</span>
<span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
<span class="go">[0, 3, 6, 9]</span>
<span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">10</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
<span class="go">[0, -1, -2, -3, -4, -5, -6, -7, -8, -9]</span>
<span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
<span class="go">[]</span>
<span class="gp">>>> </span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="go">[]</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="raw_input">
<tt class="descname">raw_input</tt><big>(</big><span class="optional">[</span><em>prompt</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#raw_input" title="Permalink to this definition">¶</a></dt>
<dd><p>If the <em>prompt</em> argument is present, it is written to standard output without a
trailing newline. The function then reads a line from input, converts it to a
string (stripping a trailing newline), and returns that. When EOF is read,
<a class="reference internal" href="exceptions.html#exceptions.EOFError" title="exceptions.EOFError"><tt class="xref py py-exc docutils literal"><span class="pre">EOFError</span></tt></a> is raised. Example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">s</span> <span class="o">=</span> <span class="nb">raw_input</span><span class="p">(</span><span class="s">'--> '</span><span class="p">)</span>
<span class="go">--> Monty Python's Flying Circus</span>
<span class="gp">>>> </span><span class="n">s</span>
<span class="go">"Monty Python's Flying Circus"</span>
</pre></div>
</div>
<p>If the <a class="reference internal" href="readline.html#module-readline" title="readline: GNU readline support for Python. (Unix)"><tt class="xref py py-mod docutils literal"><span class="pre">readline</span></tt></a> module was loaded, then <a class="reference internal" href="#raw_input" title="raw_input"><tt class="xref py py-func docutils literal"><span class="pre">raw_input()</span></tt></a> will use it to
provide elaborate line editing and history features.</p>
</dd></dl>
<dl class="function">
<dt id="reduce">
<tt class="descname">reduce</tt><big>(</big><em>function</em>, <em>iterable</em><span class="optional">[</span>, <em>initializer</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#reduce" title="Permalink 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,
<tt class="docutils literal"><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></tt> calculates <tt class="docutils literal"><span class="pre">((((1+2)+3)+4)+5)</span></tt>.
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>initializer</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>initializer</em> is not given and
<em>iterable</em> contains only one item, the first item is returned.
Roughly equivalent to:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">def</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">initializer</span><span class="o">=</span><span class="bp">None</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">initializer</span> <span class="ow">is</span> <span class="bp">None</span><span class="p">:</span>
<span class="k">try</span><span class="p">:</span>
<span class="n">initializer</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">except</span> <span class="ne">StopIteration</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">'reduce() of empty sequence with no initial value'</span><span class="p">)</span>
<span class="n">accum_value</span> <span class="o">=</span> <span class="n">initializer</span>
<span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">it</span><span class="p">:</span>
<span class="n">accum_value</span> <span class="o">=</span> <span class="n">function</span><span class="p">(</span><span class="n">accum_value</span><span class="p">,</span> <span class="n">x</span><span class="p">)</span>
<span class="k">return</span> <span class="n">accum_value</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="reload">
<tt class="descname">reload</tt><big>(</big><em>module</em><big>)</big><a class="headerlink" href="#reload" title="Permalink to this definition">¶</a></dt>
<dd><p>Reload a previously imported <em>module</em>. The argument must be a module object, so
it must have been successfully imported before. This is useful if you have
edited the module source file using an external editor and want to try out the
new version without leaving the Python interpreter. The return value is the
module object (the same as the <em>module</em> argument).</p>
<p>When <tt class="docutils literal"><span class="pre">reload(module)</span></tt> is executed:</p>
<ul class="simple">
<li>Python modules’ code is recompiled and the module-level code reexecuted,
defining a new set of objects which are bound to names in the module’s
dictionary. The <tt class="docutils literal"><span class="pre">init</span></tt> function of extension modules is not called a second
time.</li>
<li>As with all other objects in Python the old objects are only reclaimed after
their reference counts drop to zero.</li>
<li>The names in the module namespace are updated to point to any new or changed
objects.</li>
<li>Other references to the old objects (such as names external to the module) are
not rebound to refer to the new objects and must be updated in each namespace
where they occur if that is desired.</li>
</ul>
<p>There are a number of other caveats:</p>
<p>If a module is syntactically correct but its initialization fails, the first
<a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> statement for it does not bind its name locally, but does
store a (partially initialized) module object in <tt class="docutils literal"><span class="pre">sys.modules</span></tt>. To reload the
module you must first <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> it again (this will bind the name to the
partially initialized module object) before you can <a class="reference internal" href="#reload" title="reload"><tt class="xref py py-func docutils literal"><span class="pre">reload()</span></tt></a> it.</p>
<p>When a module is reloaded, its dictionary (containing the module’s global
variables) is retained. Redefinitions of names will override the old
definitions, so this is generally not a problem. If the new version of a module
does not define a name that was defined by the old version, the old definition
remains. This feature can be used to the module’s advantage if it maintains a
global table or cache of objects — with a <a class="reference internal" href="../reference/compound_stmts.html#try"><tt class="xref std std-keyword docutils literal"><span class="pre">try</span></tt></a> statement it can test
for the table’s presence and skip its initialization if desired:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">try</span><span class="p">:</span>
<span class="n">cache</span>
<span class="k">except</span> <span class="ne">NameError</span><span class="p">:</span>
<span class="n">cache</span> <span class="o">=</span> <span class="p">{}</span>
</pre></div>
</div>
<p>It is legal though generally not very useful to reload built-in or dynamically
loaded modules, except for <a class="reference internal" href="sys.html#module-sys" title="sys: Access system-specific parameters and functions."><tt class="xref py py-mod docutils literal"><span class="pre">sys</span></tt></a>, <a class="reference internal" href="__main__.html#module-__main__" title="__main__: The environment where the top-level script is run."><tt class="xref py py-mod docutils literal"><span class="pre">__main__</span></tt></a> and <a class="reference internal" href="__builtin__.html#module-__builtin__" title="__builtin__: The module that provides the built-in namespace."><tt class="xref py py-mod docutils literal"><span class="pre">__builtin__</span></tt></a>.
In many cases, however, extension modules are not designed to be initialized
more than once, and may fail in arbitrary ways when reloaded.</p>
<p>If a module imports objects from another module using <a class="reference internal" href="../reference/simple_stmts.html#from"><tt class="xref std std-keyword docutils literal"><span class="pre">from</span></tt></a> ...
<a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> ..., calling <a class="reference internal" href="#reload" title="reload"><tt class="xref py py-func docutils literal"><span class="pre">reload()</span></tt></a> for the other module does not
redefine the objects imported from it — one way around this is to re-execute
the <a class="reference internal" href="../reference/simple_stmts.html#from"><tt class="xref std std-keyword docutils literal"><span class="pre">from</span></tt></a> statement, another is to use <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> and qualified
names (<em>module</em>.*name*) instead.</p>
<p>If a module instantiates instances of a class, reloading the module that defines
the class does not affect the method definitions of the instances — they
continue to use the old class definition. The same is true for derived classes.</p>
</dd></dl>
<span class="target" id="func-repr"></span><dl class="function">
<dt id="repr">
<tt class="descname">repr</tt><big>(</big><em>object</em><big>)</big><a class="headerlink" href="#repr" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a string containing a printable representation of an object. This is
the same value yielded by conversions (reverse quotes). It is sometimes
useful to be able to access this operation as an ordinary function. For many
types, this function makes an attempt to return a string that would yield an
object with the same value when passed to <a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a>, otherwise the
representation is a string enclosed in angle brackets that contains the name
of the type of the object together with additional information often
including the name and address of the object. A class can control what this
function returns for its instances by defining a <a class="reference internal" href="../reference/datamodel.html#object.__repr__" title="object.__repr__"><tt class="xref py py-meth docutils literal"><span class="pre">__repr__()</span></tt></a> method.</p>
</dd></dl>
<dl class="function">
<dt id="reversed">
<tt class="descname">reversed</tt><big>(</big><em>seq</em><big>)</big><a class="headerlink" href="#reversed" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a reverse <a class="reference internal" href="../glossary.html#term-iterator"><em class="xref std std-term">iterator</em></a>. <em>seq</em> must be an object which has
a <a class="reference internal" href="../reference/datamodel.html#object.__reversed__" title="object.__reversed__"><tt class="xref py py-meth docutils literal"><span class="pre">__reversed__()</span></tt></a> method or supports the sequence protocol (the
<a class="reference internal" href="../reference/datamodel.html#object.__len__" title="object.__len__"><tt class="xref py py-meth docutils literal"><span class="pre">__len__()</span></tt></a> method and the <a class="reference internal" href="../reference/datamodel.html#object.__getitem__" title="object.__getitem__"><tt class="xref py py-meth docutils literal"><span class="pre">__getitem__()</span></tt></a> method with integer
arguments starting at <tt class="docutils literal"><span class="pre">0</span></tt>).</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.4.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Added the possibility to write a custom <a class="reference internal" href="../reference/datamodel.html#object.__reversed__" title="object.__reversed__"><tt class="xref py py-meth docutils literal"><span class="pre">__reversed__()</span></tt></a> method.</p>
</dd></dl>
<dl class="function">
<dt id="round">
<tt class="descname">round</tt><big>(</big><em>number</em><span class="optional">[</span>, <em>ndigits</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#round" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the floating point value <em>number</em> rounded to <em>ndigits</em> digits after
the decimal point. If <em>ndigits</em> is omitted, it defaults to zero. The result
is a floating point number. Values are rounded to the closest multiple of
10 to the power minus <em>ndigits</em>; if two multiples are equally close,
rounding is done away from 0 (so. for example, <tt class="docutils literal"><span class="pre">round(0.5)</span></tt> is <tt class="docutils literal"><span class="pre">1.0</span></tt> and
<tt class="docutils literal"><span class="pre">round(-0.5)</span></tt> is <tt class="docutils literal"><span class="pre">-1.0</span></tt>).</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">The behavior of <a class="reference internal" href="#round" title="round"><tt class="xref py py-func docutils literal"><span class="pre">round()</span></tt></a> for floats can be surprising: for example,
<tt class="docutils literal"><span class="pre">round(2.675,</span> <span class="pre">2)</span></tt> gives <tt class="docutils literal"><span class="pre">2.67</span></tt> instead of the expected <tt class="docutils literal"><span class="pre">2.68</span></tt>.
This is not a bug: it’s a result of the fact that most decimal fractions
can’t be represented exactly as a float. See <a class="reference internal" href="../tutorial/floatingpoint.html#tut-fp-issues"><em>Floating Point Arithmetic: Issues and Limitations</em></a> for
more information.</p>
</div>
</dd></dl>
<span class="target" id="func-set"></span><dl class="function">
<dt>
<tt class="descname">set</tt><big>(</big><span class="optional">[</span><em>iterable</em><span class="optional">]</span><big>)</big></dt>
<dd><p>Return a new <a class="reference internal" href="stdtypes.html#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> object, optionally with elements taken from
<em>iterable</em>. <tt class="docutils literal"><span class="pre">set</span></tt> is a built-in class. See <a class="reference internal" href="stdtypes.html#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> and
<a class="reference internal" href="stdtypes.html#types-set"><em>Set Types — set, frozenset</em></a> for documentation about this class.</p>
<p>For other containers see the built-in <a class="reference internal" href="stdtypes.html#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>, <a class="reference internal" href="#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>,
<a class="reference internal" href="#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a>, and <a class="reference internal" href="stdtypes.html#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a> classes, as well as the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a>
module.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.4.</span></p>
</dd></dl>
<dl class="function">
<dt id="setattr">
<tt class="descname">setattr</tt><big>(</big><em>object</em>, <em>name</em>, <em>value</em><big>)</big><a class="headerlink" href="#setattr" title="Permalink to this definition">¶</a></dt>
<dd><p>This is the counterpart of <a class="reference internal" href="#getattr" title="getattr"><tt class="xref py py-func docutils literal"><span class="pre">getattr()</span></tt></a>. The arguments are an object, a
string and an arbitrary value. The string may name an existing attribute or a
new attribute. The function assigns the value to the attribute, provided the
object allows it. For example, <tt class="docutils literal"><span class="pre">setattr(x,</span> <span class="pre">'foobar',</span> <span class="pre">123)</span></tt> is equivalent to
<tt class="docutils literal"><span class="pre">x.foobar</span> <span class="pre">=</span> <span class="pre">123</span></tt>.</p>
</dd></dl>
<dl class="function">
<dt id="slice">
<tt class="descname">slice</tt><big>(</big><em>stop</em><big>)</big><a class="headerlink" href="#slice" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">slice</tt><big>(</big><em>start</em>, <em>stop</em><span class="optional">[</span>, <em>step</em><span class="optional">]</span><big>)</big></dt>
<dd><p id="index-6">Return a <a class="reference internal" href="../glossary.html#term-slice"><em class="xref std std-term">slice</em></a> object representing the set of indices specified by
<tt class="docutils literal"><span class="pre">range(start,</span> <span class="pre">stop,</span> <span class="pre">step)</span></tt>. The <em>start</em> and <em>step</em> arguments default to
<tt class="docutils literal"><span class="pre">None</span></tt>. Slice objects have read-only data attributes <tt class="xref py py-attr docutils literal"><span class="pre">start</span></tt>,
<tt class="xref py py-attr docutils literal"><span class="pre">stop</span></tt> and <tt class="xref py py-attr docutils literal"><span class="pre">step</span></tt> which merely return the argument values (or their
default). They have no other explicit functionality; however they are used by
Numerical Python and other third party extensions. Slice objects are also
generated when extended indexing syntax is used. For example:
<tt class="docutils literal"><span class="pre">a[start:stop:step]</span></tt> or <tt class="docutils literal"><span class="pre">a[start:stop,</span> <span class="pre">i]</span></tt>. See <a class="reference internal" href="itertools.html#itertools.islice" title="itertools.islice"><tt class="xref py py-func docutils literal"><span class="pre">itertools.islice()</span></tt></a>
for an alternate version that returns an iterator.</p>
</dd></dl>
<dl class="function">
<dt id="sorted">
<tt class="descname">sorted</tt><big>(</big><em>iterable</em><span class="optional">[</span>, <em>cmp</em><span class="optional">[</span>, <em>key</em><span class="optional">[</span>, <em>reverse</em><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#sorted" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new sorted list from the items in <em>iterable</em>.</p>
<p>The optional arguments <em>cmp</em>, <em>key</em>, and <em>reverse</em> have the same meaning as
those for the <tt class="xref py py-meth docutils literal"><span class="pre">list.sort()</span></tt> method (described in section
<a class="reference internal" href="stdtypes.html#typesseq-mutable"><em>Mutable Sequence Types</em></a>).</p>
<p><em>cmp</em> specifies a custom comparison function of two arguments (iterable
elements) which should return a negative, zero or positive number depending on
whether the first argument is considered smaller than, equal to, or larger than
the second argument: <tt class="docutils literal"><span class="pre">cmp=lambda</span> <span class="pre">x,y:</span> <span class="pre">cmp(x.lower(),</span> <span class="pre">y.lower())</span></tt>. The default
value is <tt class="docutils literal"><span class="pre">None</span></tt>.</p>
<p><em>key</em> specifies a function of one argument that is used to extract a comparison
key from each list element: <tt class="docutils literal"><span class="pre">key=str.lower</span></tt>. The default value is <tt class="docutils literal"><span class="pre">None</span></tt>
(compare the elements directly).</p>
<p><em>reverse</em> is a boolean value. If set to <tt class="docutils literal"><span class="pre">True</span></tt>, then the list elements are
sorted as if each comparison were reversed.</p>
<p>In general, the <em>key</em> and <em>reverse</em> conversion processes are much faster
than specifying an equivalent <em>cmp</em> function. This is because <em>cmp</em> is
called multiple times for each list element while <em>key</em> and <em>reverse</em> touch
each element only once. Use <a class="reference internal" href="functools.html#functools.cmp_to_key" title="functools.cmp_to_key"><tt class="xref py py-func docutils literal"><span class="pre">functools.cmp_to_key()</span></tt></a> to convert an
old-style <em>cmp</em> function to a <em>key</em> function.</p>
<p>For sorting examples and a brief sorting tutorial, see <a class="reference external" href="http://wiki.python.org/moin/HowTo/Sorting/">Sorting HowTo</a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.4.</span></p>
</dd></dl>
<dl class="function">
<dt id="staticmethod">
<tt class="descname">staticmethod</tt><big>(</big><em>function</em><big>)</big><a class="headerlink" href="#staticmethod" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a static method for <em>function</em>.</p>
<p>A static method does not receive an implicit first argument. To declare a static
method, use this idiom:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">class</span> <span class="nc">C</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="nd">@staticmethod</span>
<span class="k">def</span> <span class="nf">f</span><span class="p">(</span><span class="n">arg1</span><span class="p">,</span> <span class="n">arg2</span><span class="p">,</span> <span class="o">...</span><span class="p">):</span>
<span class="o">...</span>
</pre></div>
</div>
<p>The <tt class="docutils literal"><span class="pre">@staticmethod</span></tt> form is a function <a class="reference internal" href="../glossary.html#term-decorator"><em class="xref std std-term">decorator</em></a> – see the
description of function definitions in <a class="reference internal" href="../reference/compound_stmts.html#function"><em>Function definitions</em></a> for details.</p>
<p>It can be called either on the class (such as <tt class="docutils literal"><span class="pre">C.f()</span></tt>) or on an instance (such
as <tt class="docutils literal"><span class="pre">C().f()</span></tt>). The instance is ignored except for its class.</p>
<p>Static methods in Python are similar to those found in Java or C++. Also see
<a class="reference internal" href="#classmethod" title="classmethod"><tt class="xref py py-func docutils literal"><span class="pre">classmethod()</span></tt></a> for a variant that is useful for creating alternate
class constructors.</p>
<p>For more information on static methods, consult the documentation on the
standard type hierarchy in <a class="reference internal" href="../reference/datamodel.html#types"><em>The standard type hierarchy</em></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Function decorator syntax added.</p>
</dd></dl>
<dl class="function">
<dt id="str">
<tt class="descname">str</tt><big>(</big><em>object=''</em><big>)</big><a class="headerlink" href="#str" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a string containing a nicely printable representation of an object. For
strings, this returns the string itself. The difference with <tt class="docutils literal"><span class="pre">repr(object)</span></tt>
is that <tt class="docutils literal"><span class="pre">str(object)</span></tt> does not always attempt to return a string that is
acceptable to <a class="reference internal" href="#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a>; its goal is to return a printable string. If no
argument is given, returns the empty string, <tt class="docutils literal"><span class="pre">''</span></tt>.</p>
<p>For more information on strings see <a class="reference internal" href="stdtypes.html#typesseq"><em>Sequence Types — str, unicode, list, tuple, bytearray, buffer, xrange</em></a> which describes sequence
functionality (strings are sequences), and also the string-specific methods
described in the <a class="reference internal" href="stdtypes.html#string-methods"><em>String Methods</em></a> section. To output formatted strings
use template strings or the <tt class="docutils literal"><span class="pre">%</span></tt> operator described in the
<a class="reference internal" href="stdtypes.html#string-formatting"><em>String Formatting Operations</em></a> section. In addition see the <a class="reference internal" href="strings.html#stringservices"><em>String Services</em></a>
section. See also <a class="reference internal" href="#unicode" title="unicode"><tt class="xref py py-func docutils literal"><span class="pre">unicode()</span></tt></a>.</p>
</dd></dl>
<dl class="function">
<dt id="sum">
<tt class="descname">sum</tt><big>(</big><em>iterable</em><span class="optional">[</span>, <em>start</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#sum" title="Permalink to this definition">¶</a></dt>
<dd><p>Sums <em>start</em> and the items of an <em>iterable</em> from left to right and returns the
total. <em>start</em> defaults to <tt class="docutils literal"><span class="pre">0</span></tt>. The <em>iterable</em>‘s items are normally numbers,
and the start value is not allowed to be a string.</p>
<p>For some use cases, there are good alternatives to <a class="reference internal" href="#sum" title="sum"><tt class="xref py py-func docutils literal"><span class="pre">sum()</span></tt></a>.
The preferred, fast way to concatenate a sequence of strings is by calling
<tt class="docutils literal"><span class="pre">''.join(sequence)</span></tt>. To add floating point values with extended precision,
see <a class="reference internal" href="math.html#math.fsum" title="math.fsum"><tt class="xref py py-func docutils literal"><span class="pre">math.fsum()</span></tt></a>. To concatenate a series of iterables, consider using
<a class="reference internal" href="itertools.html#itertools.chain" title="itertools.chain"><tt class="xref py py-func docutils literal"><span class="pre">itertools.chain()</span></tt></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
</dd></dl>
<dl class="function">
<dt id="super">
<tt class="descname">super</tt><big>(</big><em>type</em><span class="optional">[</span>, <em>object-or-type</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#super" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a proxy object that delegates method calls to a parent or sibling
class of <em>type</em>. This is useful for accessing inherited methods that have
been overridden in a class. The search order is same as that used by
<a class="reference internal" href="#getattr" title="getattr"><tt class="xref py py-func docutils literal"><span class="pre">getattr()</span></tt></a> except that the <em>type</em> itself is skipped.</p>
<p>The <tt class="xref py py-attr docutils literal"><span class="pre">__mro__</span></tt> attribute of the <em>type</em> lists the method resolution
search order used by both <a class="reference internal" href="#getattr" title="getattr"><tt class="xref py py-func docutils literal"><span class="pre">getattr()</span></tt></a> and <a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a>. The attribute
is dynamic and can change whenever the inheritance hierarchy is updated.</p>
<p>If the second argument is omitted, the super object returned is unbound. If
the second argument is an object, <tt class="docutils literal"><span class="pre">isinstance(obj,</span> <span class="pre">type)</span></tt> must be true. If
the second argument is a type, <tt class="docutils literal"><span class="pre">issubclass(type2,</span> <span class="pre">type)</span></tt> must be true (this
is useful for classmethods).</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last"><a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a> only works for <a class="reference internal" href="../glossary.html#term-new-style-class"><em class="xref std std-term">new-style class</em></a>es.</p>
</div>
<p>There are two typical use cases for <em>super</em>. In a class hierarchy with
single inheritance, <em>super</em> can be used to refer to parent classes without
naming them explicitly, thus making the code more maintainable. This use
closely parallels the use of <em>super</em> in other programming languages.</p>
<p>The second use case is to support cooperative multiple inheritance in a
dynamic execution environment. This use case is unique to Python and is
not found in statically compiled languages or languages that only support
single inheritance. This makes it possible to implement “diamond diagrams”
where multiple base classes implement the same method. Good design dictates
that this method have the same calling signature in every case (because the
order of calls is determined at runtime, because that order adapts
to changes in the class hierarchy, and because that order can include
sibling classes that are unknown prior to runtime).</p>
<p>For both use cases, a typical superclass call looks like this:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">class</span> <span class="nc">C</span><span class="p">(</span><span class="n">B</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">method</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">super</span><span class="p">(</span><span class="n">C</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="n">method</span><span class="p">(</span><span class="n">arg</span><span class="p">)</span>
</pre></div>
</div>
<p>Note that <a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a> is implemented as part of the binding process for
explicit dotted attribute lookups such as <tt class="docutils literal"><span class="pre">super().__getitem__(name)</span></tt>.
It does so by implementing its own <a class="reference internal" href="../reference/datamodel.html#object.__getattribute__" title="object.__getattribute__"><tt class="xref py py-meth docutils literal"><span class="pre">__getattribute__()</span></tt></a> method for searching
classes in a predictable order that supports cooperative multiple inheritance.
Accordingly, <a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a> is undefined for implicit lookups using statements or
operators such as <tt class="docutils literal"><span class="pre">super()[name]</span></tt>.</p>
<p>Also note that <a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a> is not limited to use inside methods. The two
argument form specifies the arguments exactly and makes the appropriate
references.</p>
<p>For practical suggestions on how to design cooperative classes using
<a class="reference internal" href="#super" title="super"><tt class="xref py py-func docutils literal"><span class="pre">super()</span></tt></a>, see <a class="reference external" href="http://rhettinger.wordpress.com/2011/05/26/super-considered-super/">guide to using super()</a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>
<dl class="function">
<dt id="tuple">
<tt class="descname">tuple</tt><big>(</big><span class="optional">[</span><em>iterable</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#tuple" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a tuple whose items are the same and in the same order as <em>iterable</em>‘s
items. <em>iterable</em> may be a sequence, a container that supports iteration, or an
iterator object. If <em>iterable</em> is already a tuple, it is returned unchanged.
For instance, <tt class="docutils literal"><span class="pre">tuple('abc')</span></tt> returns <tt class="docutils literal"><span class="pre">('a',</span> <span class="pre">'b',</span> <span class="pre">'c')</span></tt> and <tt class="docutils literal"><span class="pre">tuple([1,</span> <span class="pre">2,</span>
<span class="pre">3])</span></tt> returns <tt class="docutils literal"><span class="pre">(1,</span> <span class="pre">2,</span> <span class="pre">3)</span></tt>. If no argument is given, returns a new empty
tuple, <tt class="docutils literal"><span class="pre">()</span></tt>.</p>
<p><a class="reference internal" href="#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a> is an immutable sequence type, as documented in
<a class="reference internal" href="stdtypes.html#typesseq"><em>Sequence Types — str, unicode, list, tuple, bytearray, buffer, xrange</em></a>. For other containers see the built in <a class="reference internal" href="stdtypes.html#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a>,
<a class="reference internal" href="#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>, and <a class="reference internal" href="stdtypes.html#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> classes, and the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a> module.</p>
</dd></dl>
<dl class="function">
<dt id="type">
<tt class="descname">type</tt><big>(</big><em>object</em><big>)</big><a class="headerlink" href="#type" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">type</tt><big>(</big><em>name</em>, <em>bases</em>, <em>dict</em><big>)</big></dt>
<dd><p id="index-7">With one argument, return the type of an <em>object</em>. The return value is a
type object. The <a class="reference internal" href="#isinstance" title="isinstance"><tt class="xref py py-func docutils literal"><span class="pre">isinstance()</span></tt></a> built-in function is recommended for
testing the type of an object.</p>
<p>With three arguments, return a new type object. This is essentially a
dynamic form of the <a class="reference internal" href="../reference/compound_stmts.html#class"><tt class="xref std std-keyword docutils literal"><span class="pre">class</span></tt></a> statement. The <em>name</em> string is the
class name and becomes the <tt class="xref py py-attr docutils literal"><span class="pre">__name__</span></tt> attribute; the <em>bases</em> tuple
itemizes the base classes and becomes the <tt class="xref py py-attr docutils literal"><span class="pre">__bases__</span></tt> attribute;
and the <em>dict</em> dictionary is the namespace containing definitions for class
body and becomes the <tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> attribute. For example, the
following two statements create identical <a class="reference internal" href="#type" title="type"><tt class="xref py py-class docutils literal"><span class="pre">type</span></tt></a> objects:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="k">class</span> <span class="nc">X</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="gp">... </span> <span class="n">a</span> <span class="o">=</span> <span class="mi">1</span>
<span class="gp">...</span>
<span class="gp">>>> </span><span class="n">X</span> <span class="o">=</span> <span class="nb">type</span><span class="p">(</span><span class="s">'X'</span><span class="p">,</span> <span class="p">(</span><span class="nb">object</span><span class="p">,),</span> <span class="nb">dict</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="mi">1</span><span class="p">))</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>
<dl class="function">
<dt id="unichr">
<tt class="descname">unichr</tt><big>(</big><em>i</em><big>)</big><a class="headerlink" href="#unichr" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the Unicode string of one character whose Unicode code is the integer
<em>i</em>. For example, <tt class="docutils literal"><span class="pre">unichr(97)</span></tt> returns the string <tt class="docutils literal"><span class="pre">u'a'</span></tt>. This is the
inverse of <a class="reference internal" href="#ord" title="ord"><tt class="xref py py-func docutils literal"><span class="pre">ord()</span></tt></a> for Unicode strings. The valid range for the argument
depends how Python was configured – it may be either UCS2 [0..0xFFFF] or UCS4
[0..0x10FFFF]. <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> is raised otherwise. For ASCII and 8-bit
strings see <a class="reference internal" href="#chr" title="chr"><tt class="xref py py-func docutils literal"><span class="pre">chr()</span></tt></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.0.</span></p>
</dd></dl>
<dl class="function">
<dt id="unicode">
<tt class="descname">unicode</tt><big>(</big><em>object=''</em><big>)</big><a class="headerlink" href="#unicode" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">unicode</tt><big>(</big><em>object</em><span class="optional">[</span>, <em>encoding</em><span class="optional">[</span>, <em>errors</em><span class="optional">]</span><span class="optional">]</span><big>)</big></dt>
<dd><p>Return the Unicode string version of <em>object</em> using one of the following modes:</p>
<p>If <em>encoding</em> and/or <em>errors</em> are given, <tt class="docutils literal"><span class="pre">unicode()</span></tt> will decode the object
which can either be an 8-bit string or a character buffer using the codec for
<em>encoding</em>. The <em>encoding</em> parameter is a string giving the name of an encoding;
if the encoding is not known, <a class="reference internal" href="exceptions.html#exceptions.LookupError" title="exceptions.LookupError"><tt class="xref py py-exc docutils literal"><span class="pre">LookupError</span></tt></a> is raised. Error handling is
done according to <em>errors</em>; this specifies the treatment of characters which are
invalid in the input encoding. If <em>errors</em> is <tt class="docutils literal"><span class="pre">'strict'</span></tt> (the default), a
<a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> is raised on errors, while a value of <tt class="docutils literal"><span class="pre">'ignore'</span></tt> causes
errors to be silently ignored, and a value of <tt class="docutils literal"><span class="pre">'replace'</span></tt> causes the official
Unicode replacement character, <tt class="docutils literal"><span class="pre">U+FFFD</span></tt>, to be used to replace input
characters which cannot be decoded. See also the <a class="reference internal" href="codecs.html#module-codecs" title="codecs: Encode and decode data and streams."><tt class="xref py py-mod docutils literal"><span class="pre">codecs</span></tt></a> module.</p>
<p>If no optional parameters are given, <tt class="docutils literal"><span class="pre">unicode()</span></tt> will mimic the behaviour of
<tt class="docutils literal"><span class="pre">str()</span></tt> except that it returns Unicode strings instead of 8-bit strings. More
precisely, if <em>object</em> is a Unicode string or subclass it will return that
Unicode string without any additional decoding applied.</p>
<p>For objects which provide a <a class="reference internal" href="../reference/datamodel.html#object.__unicode__" title="object.__unicode__"><tt class="xref py py-meth docutils literal"><span class="pre">__unicode__()</span></tt></a> method, it will call this method
without arguments to create a Unicode string. For all other objects, the 8-bit
string version or representation is requested and then converted to a Unicode
string using the codec for the default encoding in <tt class="docutils literal"><span class="pre">'strict'</span></tt> mode.</p>
<p>For more information on Unicode strings see <a class="reference internal" href="stdtypes.html#typesseq"><em>Sequence Types — str, unicode, list, tuple, bytearray, buffer, xrange</em></a> which describes
sequence functionality (Unicode strings are sequences), and also the
string-specific methods described in the <a class="reference internal" href="stdtypes.html#string-methods"><em>String Methods</em></a> section. To
output formatted strings use template strings or the <tt class="docutils literal"><span class="pre">%</span></tt> operator described
in the <a class="reference internal" href="stdtypes.html#string-formatting"><em>String Formatting Operations</em></a> section. In addition see the
<a class="reference internal" href="strings.html#stringservices"><em>String Services</em></a> section. See also <a class="reference internal" href="#str" title="str"><tt class="xref py py-func docutils literal"><span class="pre">str()</span></tt></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.0.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.2: </span>Support for <a class="reference internal" href="../reference/datamodel.html#object.__unicode__" title="object.__unicode__"><tt class="xref py py-meth docutils literal"><span class="pre">__unicode__()</span></tt></a> added.</p>
</dd></dl>
<dl class="function">
<dt id="vars">
<tt class="descname">vars</tt><big>(</big><span class="optional">[</span><em>object</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#vars" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the <tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> attribute for a module, class, instance,
or any other object with a <tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> attribute.</p>
<p>Objects such as modules and instances have an updateable <tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt>
attribute; however, other objects may have write restrictions on their
<tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> attributes (for example, new-style classes use a
dictproxy to prevent direct dictionary updates).</p>
<p>Without an argument, <a class="reference internal" href="#vars" title="vars"><tt class="xref py py-func docutils literal"><span class="pre">vars()</span></tt></a> acts like <a class="reference internal" href="#locals" title="locals"><tt class="xref py py-func docutils literal"><span class="pre">locals()</span></tt></a>. Note, the
locals dictionary is only useful for reads since updates to the locals
dictionary are ignored.</p>
</dd></dl>
<dl class="function">
<dt id="xrange">
<tt class="descname">xrange</tt><big>(</big><em>stop</em><big>)</big><a class="headerlink" href="#xrange" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">xrange</tt><big>(</big><em>start</em>, <em>stop</em><span class="optional">[</span>, <em>step</em><span class="optional">]</span><big>)</big></dt>
<dd><p>This function is very similar to <a class="reference internal" href="#range" title="range"><tt class="xref py py-func docutils literal"><span class="pre">range()</span></tt></a>, but returns an <a class="reference internal" href="stdtypes.html#typesseq-xrange"><em>xrange
object</em></a>
instead of a list. This is an opaque sequence type which yields the same values
as the corresponding list, without actually storing them all simultaneously.
The advantage of <a class="reference internal" href="#xrange" title="xrange"><tt class="xref py py-func docutils literal"><span class="pre">xrange()</span></tt></a> over <a class="reference internal" href="#range" title="range"><tt class="xref py py-func docutils literal"><span class="pre">range()</span></tt></a> is minimal (since
<a class="reference internal" href="#xrange" title="xrange"><tt class="xref py py-func docutils literal"><span class="pre">xrange()</span></tt></a> still has to create the values when asked for them) except when a
very large range is used on a memory-starved machine or when all of the range’s
elements are never used (such as when the loop is usually terminated with
<a class="reference internal" href="../reference/simple_stmts.html#break"><tt class="xref std std-keyword docutils literal"><span class="pre">break</span></tt></a>). For more information on xrange objects, see
<a class="reference internal" href="stdtypes.html#typesseq-xrange"><em>XRange Type</em></a> and <a class="reference internal" href="stdtypes.html#typesseq"><em>Sequence Types — str, unicode, list, tuple, bytearray, buffer, xrange</em></a>.</p>
<div class="impl-detail compound">
<p><strong>CPython implementation detail:</strong> <a class="reference internal" href="#xrange" title="xrange"><tt class="xref py py-func docutils literal"><span class="pre">xrange()</span></tt></a> is intended to be simple and fast. Implementations may
impose restrictions to achieve this. The C implementation of Python
restricts all arguments to native C longs (“short” Python integers), and
also requires that the number of elements fit in a native C long. If a
larger range is needed, an alternate version can be crafted using the
<a class="reference internal" href="itertools.html#module-itertools" title="itertools: Functions creating iterators for efficient looping."><tt class="xref py py-mod docutils literal"><span class="pre">itertools</span></tt></a> module: <tt class="docutils literal"><span class="pre">islice(count(start,</span> <span class="pre">step),</span>
<span class="pre">(stop-start+step-1+2*(step<0))//step)</span></tt>.</p>
</div>
</dd></dl>
<dl class="function">
<dt id="zip">
<tt class="descname">zip</tt><big>(</big><span class="optional">[</span><em>iterable</em>, <em>...</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#zip" title="Permalink to this definition">¶</a></dt>
<dd><p>This function returns a list of tuples, where the <em>i</em>-th tuple contains the
<em>i</em>-th element from each of the argument sequences or iterables. The returned
list is truncated in length to the length of the shortest argument sequence.
When there are multiple arguments which are all of the same length, <a class="reference internal" href="#zip" title="zip"><tt class="xref py py-func docutils literal"><span class="pre">zip()</span></tt></a>
is similar to <a class="reference internal" href="#map" title="map"><tt class="xref py py-func docutils literal"><span class="pre">map()</span></tt></a> with an initial argument of <tt class="docutils literal"><span class="pre">None</span></tt>. With a single
sequence argument, it returns a list of 1-tuples. With no arguments, it returns
an empty list.</p>
<p>The left-to-right evaluation order of the iterables is guaranteed. This
makes possible an idiom for clustering a data series into n-length groups
using <tt class="docutils literal"><span class="pre">zip(*[iter(s)]*n)</span></tt>.</p>
<p><a class="reference internal" href="#zip" title="zip"><tt class="xref py py-func docutils literal"><span class="pre">zip()</span></tt></a> in conjunction with the <tt class="docutils literal"><span class="pre">*</span></tt> operator can be used to unzip a
list:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">x</span> <span class="o">=</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="gp">>>> </span><span class="n">y</span> <span class="o">=</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">]</span>
<span class="gp">>>> </span><span class="n">zipped</span> <span class="o">=</span> <span class="nb">zip</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
<span class="gp">>>> </span><span class="n">zipped</span>
<span class="go">[(1, 4), (2, 5), (3, 6)]</span>
<span class="gp">>>> </span><span class="n">x2</span><span class="p">,</span> <span class="n">y2</span> <span class="o">=</span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="n">zipped</span><span class="p">)</span>
<span class="gp">>>> </span><span class="n">x</span> <span class="o">==</span> <span class="nb">list</span><span class="p">(</span><span class="n">x2</span><span class="p">)</span> <span class="ow">and</span> <span class="n">y</span> <span class="o">==</span> <span class="nb">list</span><span class="p">(</span><span class="n">y2</span><span class="p">)</span>
<span class="go">True</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.0.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Formerly, <a class="reference internal" href="#zip" title="zip"><tt class="xref py py-func docutils literal"><span class="pre">zip()</span></tt></a> required at least one argument and <tt class="docutils literal"><span class="pre">zip()</span></tt> raised a
<a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> instead of returning an empty list.</p>
</dd></dl>
<dl class="function">
<dt id="__import__">
<tt class="descname">__import__</tt><big>(</big><em>name</em><span class="optional">[</span>, <em>globals</em><span class="optional">[</span>, <em>locals</em><span class="optional">[</span>, <em>fromlist</em><span class="optional">[</span>, <em>level</em><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#__import__" title="Permalink to this definition">¶</a></dt>
<dd><div class="admonition note" id="index-8">
<p class="first admonition-title">Note</p>
<p class="last">This is an advanced function that is not needed in everyday Python
programming, unlike <a class="reference internal" href="importlib.html#importlib.import_module" title="importlib.import_module"><tt class="xref py py-func docutils literal"><span class="pre">importlib.import_module()</span></tt></a>.</p>
</div>
<p>This function is invoked by the <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> statement. It can be
replaced (by importing the <a class="reference internal" href="__builtin__.html#module-__builtin__" title="__builtin__: The module that provides the built-in namespace."><tt class="xref py py-mod docutils literal"><span class="pre">__builtin__</span></tt></a> module and assigning to
<tt class="docutils literal"><span class="pre">__builtin__.__import__</span></tt>) in order to change semantics of the
<a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> statement, but nowadays it is usually simpler to use import
hooks (see <span class="target" id="index-9"></span><a class="pep reference external" href="http://www.python.org/dev/peps/pep-0302"><strong>PEP 302</strong></a>). Direct use of <a class="reference internal" href="#__import__" title="__import__"><tt class="xref py py-func docutils literal"><span class="pre">__import__()</span></tt></a> is rare, except in
cases where you want to import a module whose name is only known at runtime.</p>
<p>The function imports the module <em>name</em>, potentially using the given <em>globals</em>
and <em>locals</em> to determine how to interpret the name in a package context.
The <em>fromlist</em> gives the names of objects or submodules that should be
imported from the module given by <em>name</em>. The standard implementation does
not use its <em>locals</em> argument at all, and uses its <em>globals</em> only to
determine the package context of the <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> statement.</p>
<p><em>level</em> specifies whether to use absolute or relative imports. The default
is <tt class="docutils literal"><span class="pre">-1</span></tt> which indicates both absolute and relative imports will be
attempted. <tt class="docutils literal"><span class="pre">0</span></tt> means only perform absolute imports. Positive values for
<em>level</em> indicate the number of parent directories to search relative to the
directory of the module calling <a class="reference internal" href="#__import__" title="__import__"><tt class="xref py py-func docutils literal"><span class="pre">__import__()</span></tt></a>.</p>
<p>When the <em>name</em> variable is of the form <tt class="docutils literal"><span class="pre">package.module</span></tt>, normally, the
top-level package (the name up till the first dot) is returned, <em>not</em> the
module named by <em>name</em>. However, when a non-empty <em>fromlist</em> argument is
given, the module named by <em>name</em> is returned.</p>
<p>For example, the statement <tt class="docutils literal"><span class="pre">import</span> <span class="pre">spam</span></tt> results in bytecode resembling the
following code:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="n">spam</span> <span class="o">=</span> <span class="nb">__import__</span><span class="p">(</span><span class="s">'spam'</span><span class="p">,</span> <span class="nb">globals</span><span class="p">(),</span> <span class="nb">locals</span><span class="p">(),</span> <span class="p">[],</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
</pre></div>
</div>
<p>The statement <tt class="docutils literal"><span class="pre">import</span> <span class="pre">spam.ham</span></tt> results in this call:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="n">spam</span> <span class="o">=</span> <span class="nb">__import__</span><span class="p">(</span><span class="s">'spam.ham'</span><span class="p">,</span> <span class="nb">globals</span><span class="p">(),</span> <span class="nb">locals</span><span class="p">(),</span> <span class="p">[],</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
</pre></div>
</div>
<p>Note how <a class="reference internal" href="#__import__" title="__import__"><tt class="xref py py-func docutils literal"><span class="pre">__import__()</span></tt></a> returns the toplevel module here because this is
the object that is bound to a name by the <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a> statement.</p>
<p>On the other hand, the statement <tt class="docutils literal"><span class="pre">from</span> <span class="pre">spam.ham</span> <span class="pre">import</span> <span class="pre">eggs,</span> <span class="pre">sausage</span> <span class="pre">as</span>
<span class="pre">saus</span></tt> results in</p>
<div class="highlight-python"><div class="highlight"><pre><span class="n">_temp</span> <span class="o">=</span> <span class="nb">__import__</span><span class="p">(</span><span class="s">'spam.ham'</span><span class="p">,</span> <span class="nb">globals</span><span class="p">(),</span> <span class="nb">locals</span><span class="p">(),</span> <span class="p">[</span><span class="s">'eggs'</span><span class="p">,</span> <span class="s">'sausage'</span><span class="p">],</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
<span class="n">eggs</span> <span class="o">=</span> <span class="n">_temp</span><span class="o">.</span><span class="n">eggs</span>
<span class="n">saus</span> <span class="o">=</span> <span class="n">_temp</span><span class="o">.</span><span class="n">sausage</span>
</pre></div>
</div>
<p>Here, the <tt class="docutils literal"><span class="pre">spam.ham</span></tt> module is returned from <a class="reference internal" href="#__import__" title="__import__"><tt class="xref py py-func docutils literal"><span class="pre">__import__()</span></tt></a>. From this
object, the names to import are retrieved and assigned to their respective
names.</p>
<p>If you simply want to import a module (potentially within a package) by name,
use <a class="reference internal" href="importlib.html#importlib.import_module" title="importlib.import_module"><tt class="xref py py-func docutils literal"><span class="pre">importlib.import_module()</span></tt></a>.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>The level parameter was added.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Keyword support for parameters was added.</p>
</dd></dl>
</div>
<div class="section" id="non-essential-built-in-functions">
<span id="non-essential-built-in-funcs"></span><h1>3. Non-essential Built-in Functions<a class="headerlink" href="#non-essential-built-in-functions" title="Permalink to this headline">¶</a></h1>
<p>There are several built-in functions that are no longer essential to learn, know
or use in modern Python programming. They have been kept here to maintain
backwards compatibility with programs written for older versions of Python.</p>
<p>Python programmers, trainers, students and book writers should feel free to
bypass these functions without concerns about missing something important.</p>
<dl class="function">
<dt id="apply">
<tt class="descname">apply</tt><big>(</big><em>function</em>, <em>args</em><span class="optional">[</span>, <em>keywords</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#apply" title="Permalink to this definition">¶</a></dt>
<dd><p>The <em>function</em> argument must be a callable object (a user-defined or built-in
function or method, or a class object) and the <em>args</em> argument must be a
sequence. The <em>function</em> is called with <em>args</em> as the argument list; the number
of arguments is the length of the tuple. If the optional <em>keywords</em> argument is
present, it must be a dictionary whose keys are strings. It specifies keyword
arguments to be added to the end of the argument list. Calling <a class="reference internal" href="#apply" title="apply"><tt class="xref py py-func docutils literal"><span class="pre">apply()</span></tt></a> is
different from just calling <tt class="docutils literal"><span class="pre">function(args)</span></tt>, since in that case there is
always exactly one argument. The use of <a class="reference internal" href="#apply" title="apply"><tt class="xref py py-func docutils literal"><span class="pre">apply()</span></tt></a> is equivalent to
<tt class="docutils literal"><span class="pre">function(*args,</span> <span class="pre">**keywords)</span></tt>.</p>
<p class="deprecated">
<span class="versionmodified">Deprecated since version 2.3: </span>Use <tt class="docutils literal"><span class="pre">function(*args,</span> <span class="pre">**keywords)</span></tt> instead of
<tt class="docutils literal"><span class="pre">apply(function,</span> <span class="pre">args,</span> <span class="pre">keywords)</span></tt> (see <a class="reference internal" href="../tutorial/controlflow.html#tut-unpacking-arguments"><em>Unpacking Argument Lists</em></a>).</p>
</dd></dl>
<dl class="function">
<dt id="buffer">
<tt class="descname">buffer</tt><big>(</big><em>object</em><span class="optional">[</span>, <em>offset</em><span class="optional">[</span>, <em>size</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#buffer" title="Permalink to this definition">¶</a></dt>
<dd><p>The <em>object</em> argument must be an object that supports the buffer call interface
(such as strings, arrays, and buffers). A new buffer object will be created
which references the <em>object</em> argument. The buffer object will be a slice from
the beginning of <em>object</em> (or from the specified <em>offset</em>). The slice will
extend to the end of <em>object</em> (or will have a length given by the <em>size</em>
argument).</p>
</dd></dl>
<dl class="function">
<dt id="coerce">
<tt class="descname">coerce</tt><big>(</big><em>x</em>, <em>y</em><big>)</big><a class="headerlink" href="#coerce" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a tuple consisting of the two numeric arguments converted to a common
type, using the same rules as used by arithmetic operations. If coercion is not
possible, raise <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a>.</p>
</dd></dl>
<dl class="function">
<dt id="intern">
<tt class="descname">intern</tt><big>(</big><em>string</em><big>)</big><a class="headerlink" href="#intern" title="Permalink to this definition">¶</a></dt>
<dd><p>Enter <em>string</em> in the table of “interned” strings and return the interned string
– which is <em>string</em> itself or a copy. Interning strings is useful to gain a
little performance on dictionary lookup – if the keys in a dictionary are
interned, and the lookup key is interned, the key comparisons (after hashing)
can be done by a pointer compare instead of a string compare. Normally, the
names used in Python programs are automatically interned, and the dictionaries
used to hold module, class or instance attributes have interned keys.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Interned strings are not immortal (like they used to be in Python 2.2 and
before); you must keep a reference to the return value of <a class="reference internal" href="#intern" title="intern"><tt class="xref py py-func docutils literal"><span class="pre">intern()</span></tt></a> around
to benefit from it.</p>
</dd></dl>
<p class="rubric">Footnotes</p>
<table class="docutils footnote" frame="void" id="id3" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id1">[1]</a></td><td>It is used relatively rarely so does not warrant being made into a statement.</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id4" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id2">[2]</a></td><td>Specifying a buffer size currently has no effect on systems that don’t have
<tt class="xref c c-func docutils literal"><span class="pre">setvbuf()</span></tt>. The interface to specify the buffer size is not done using a
method that calls <tt class="xref c c-func docutils literal"><span class="pre">setvbuf()</span></tt>, because that may dump core when called after
any I/O has been performed, and there’s no reliable way to determine whether
this is the case.</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id5" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[3]</td><td>In the current implementation, local variable bindings cannot normally be
affected this way, but variables retrieved from other scopes (such as modules)
can be. This may change.</td></tr>
</tbody>
</table>
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