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  <h1>Source code for django.utils.functional</h1><div class="highlight"><pre>
<span class="kn">import</span> <span class="nn">copy</span>
<span class="kn">import</span> <span class="nn">operator</span>
<span class="kn">from</span> <span class="nn">functools</span> <span class="kn">import</span> <span class="n">wraps</span>
<span class="kn">import</span> <span class="nn">sys</span>

<span class="kn">from</span> <span class="nn">django.utils</span> <span class="kn">import</span> <span class="n">six</span>
<span class="kn">from</span> <span class="nn">django.utils.six.moves</span> <span class="kn">import</span> <span class="n">copyreg</span>


<span class="c"># You can&#39;t trivially replace this with `functools.partial` because this binds</span>
<span class="c"># to classes and returns bound instances, whereas functools.partial (on</span>
<span class="c"># CPython) is a type and its instances don&#39;t bind.</span>
<span class="k">def</span> <span class="nf">curry</span><span class="p">(</span><span class="n">_curried_func</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
    <span class="k">def</span> <span class="nf">_curried</span><span class="p">(</span><span class="o">*</span><span class="n">moreargs</span><span class="p">,</span> <span class="o">**</span><span class="n">morekwargs</span><span class="p">):</span>
        <span class="k">return</span> <span class="n">_curried_func</span><span class="p">(</span><span class="o">*</span><span class="p">(</span><span class="n">args</span> <span class="o">+</span> <span class="n">moreargs</span><span class="p">),</span> <span class="o">**</span><span class="nb">dict</span><span class="p">(</span><span class="n">kwargs</span><span class="p">,</span> <span class="o">**</span><span class="n">morekwargs</span><span class="p">))</span>
    <span class="k">return</span> <span class="n">_curried</span>


<span class="k">def</span> <span class="nf">memoize</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="n">cache</span><span class="p">,</span> <span class="n">num_args</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Wrap a function so that results for any argument tuple are stored in</span>
<span class="sd">    &#39;cache&#39;. Note that the args to the function must be usable as dictionary</span>
<span class="sd">    keys.</span>

<span class="sd">    Only the first num_args are considered when creating the key.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="nd">@wraps</span><span class="p">(</span><span class="n">func</span><span class="p">)</span>
    <span class="k">def</span> <span class="nf">wrapper</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">):</span>
        <span class="n">mem_args</span> <span class="o">=</span> <span class="n">args</span><span class="p">[:</span><span class="n">num_args</span><span class="p">]</span>
        <span class="k">if</span> <span class="n">mem_args</span> <span class="ow">in</span> <span class="n">cache</span><span class="p">:</span>
            <span class="k">return</span> <span class="n">cache</span><span class="p">[</span><span class="n">mem_args</span><span class="p">]</span>
        <span class="n">result</span> <span class="o">=</span> <span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">)</span>
        <span class="n">cache</span><span class="p">[</span><span class="n">mem_args</span><span class="p">]</span> <span class="o">=</span> <span class="n">result</span>
        <span class="k">return</span> <span class="n">result</span>
    <span class="k">return</span> <span class="n">wrapper</span>


<div class="viewcode-block" id="cached_property"><a class="viewcode-back" href="../../../ref/utils.html#django.utils.functional.cached_property">[docs]</a><span class="k">class</span> <span class="nc">cached_property</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Decorator that converts a method with a single self argument into a</span>
<span class="sd">    property cached on the instance.</span>
<span class="sd">    &quot;&quot;&quot;</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="n">func</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">func</span> <span class="o">=</span> <span class="n">func</span>

    <span class="k">def</span> <span class="nf">__get__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">instance</span><span class="p">,</span> <span class="nb">type</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">instance</span> <span class="ow">is</span> <span class="bp">None</span><span class="p">:</span>
            <span class="k">return</span> <span class="bp">self</span>
        <span class="n">res</span> <span class="o">=</span> <span class="n">instance</span><span class="o">.</span><span class="n">__dict__</span><span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">func</span><span class="o">.</span><span class="n">__name__</span><span class="p">]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">func</span><span class="p">(</span><span class="n">instance</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">res</span>

</div>
<span class="k">class</span> <span class="nc">Promise</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    This is just a base class for the proxy class created in</span>
<span class="sd">    the closure of the lazy function. It can be used to recognize</span>
<span class="sd">    promises in code.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="k">pass</span>


<span class="k">def</span> <span class="nf">lazy</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="o">*</span><span class="n">resultclasses</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Turns any callable into a lazy evaluated callable. You need to give result</span>
<span class="sd">    classes or types -- at least one is needed so that the automatic forcing of</span>
<span class="sd">    the lazy evaluation code is triggered. Results are not memoized; the</span>
<span class="sd">    function is evaluated on every access.</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="nd">@total_ordering</span>
    <span class="k">class</span> <span class="nc">__proxy__</span><span class="p">(</span><span class="n">Promise</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Encapsulate a function call and act as a proxy for methods that are</span>
<span class="sd">        called on the result of that function. The function is not evaluated</span>
<span class="sd">        until one of the methods on the result is called.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">__dispatch</span> <span class="o">=</span> <span class="bp">None</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="n">args</span><span class="p">,</span> <span class="n">kw</span><span class="p">):</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">__args</span> <span class="o">=</span> <span class="n">args</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">__kw</span> <span class="o">=</span> <span class="n">kw</span>
            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">__dispatch</span> <span class="ow">is</span> <span class="bp">None</span><span class="p">:</span>
                <span class="bp">self</span><span class="o">.</span><span class="n">__prepare_class__</span><span class="p">()</span>

        <span class="k">def</span> <span class="nf">__reduce__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
            <span class="k">return</span> <span class="p">(</span>
                <span class="n">_lazy_proxy_unpickle</span><span class="p">,</span>
                <span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">__args</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">__kw</span><span class="p">)</span> <span class="o">+</span> <span class="n">resultclasses</span>
            <span class="p">)</span>

        <span class="k">def</span> <span class="nf">__prepare_class__</span><span class="p">(</span><span class="n">cls</span><span class="p">):</span>
            <span class="n">cls</span><span class="o">.</span><span class="n">__dispatch</span> <span class="o">=</span> <span class="p">{}</span>
            <span class="k">for</span> <span class="n">resultclass</span> <span class="ow">in</span> <span class="n">resultclasses</span><span class="p">:</span>
                <span class="n">cls</span><span class="o">.</span><span class="n">__dispatch</span><span class="p">[</span><span class="n">resultclass</span><span class="p">]</span> <span class="o">=</span> <span class="p">{}</span>
                <span class="k">for</span> <span class="n">type_</span> <span class="ow">in</span> <span class="nb">reversed</span><span class="p">(</span><span class="n">resultclass</span><span class="o">.</span><span class="n">mro</span><span class="p">()):</span>
                    <span class="k">for</span> <span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">v</span><span class="p">)</span> <span class="ow">in</span> <span class="n">type_</span><span class="o">.</span><span class="n">__dict__</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
                        <span class="c"># All __promise__ return the same wrapper method, but</span>
                        <span class="c"># they also do setup, inserting the method into the</span>
                        <span class="c"># dispatch dict.</span>
                        <span class="n">meth</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">__promise__</span><span class="p">(</span><span class="n">resultclass</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span><span class="p">)</span>
                        <span class="k">if</span> <span class="nb">hasattr</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
                            <span class="k">continue</span>
                        <span class="nb">setattr</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">meth</span><span class="p">)</span>
            <span class="n">cls</span><span class="o">.</span><span class="n">_delegate_bytes</span> <span class="o">=</span> <span class="nb">bytes</span> <span class="ow">in</span> <span class="n">resultclasses</span>
            <span class="n">cls</span><span class="o">.</span><span class="n">_delegate_text</span> <span class="o">=</span> <span class="n">six</span><span class="o">.</span><span class="n">text_type</span> <span class="ow">in</span> <span class="n">resultclasses</span>
            <span class="k">assert</span> <span class="ow">not</span> <span class="p">(</span><span class="n">cls</span><span class="o">.</span><span class="n">_delegate_bytes</span> <span class="ow">and</span> <span class="n">cls</span><span class="o">.</span><span class="n">_delegate_text</span><span class="p">),</span> <span class="s">&quot;Cannot call lazy() with both bytes and text return types.&quot;</span>
            <span class="k">if</span> <span class="n">cls</span><span class="o">.</span><span class="n">_delegate_text</span><span class="p">:</span>
                <span class="k">if</span> <span class="n">six</span><span class="o">.</span><span class="n">PY3</span><span class="p">:</span>
                    <span class="n">cls</span><span class="o">.</span><span class="n">__str__</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">__text_cast</span>
                <span class="k">else</span><span class="p">:</span>
                    <span class="n">cls</span><span class="o">.</span><span class="n">__unicode__</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">__text_cast</span>
            <span class="k">elif</span> <span class="n">cls</span><span class="o">.</span><span class="n">_delegate_bytes</span><span class="p">:</span>
                <span class="k">if</span> <span class="n">six</span><span class="o">.</span><span class="n">PY3</span><span class="p">:</span>
                    <span class="n">cls</span><span class="o">.</span><span class="n">__bytes__</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">__bytes_cast</span>
                <span class="k">else</span><span class="p">:</span>
                    <span class="n">cls</span><span class="o">.</span><span class="n">__str__</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">__bytes_cast</span>
        <span class="n">__prepare_class__</span> <span class="o">=</span> <span class="nb">classmethod</span><span class="p">(</span><span class="n">__prepare_class__</span><span class="p">)</span>

        <span class="k">def</span> <span class="nf">__promise__</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">klass</span><span class="p">,</span> <span class="n">funcname</span><span class="p">,</span> <span class="n">method</span><span class="p">):</span>
            <span class="c"># Builds a wrapper around some magic method and registers that</span>
            <span class="c"># magic method for the given type and method name.</span>
            <span class="k">def</span> <span class="nf">__wrapper__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kw</span><span class="p">):</span>
                <span class="c"># Automatically triggers the evaluation of a lazy value and</span>
                <span class="c"># applies the given magic method of the result type.</span>
                <span class="n">res</span> <span class="o">=</span> <span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">__args</span><span class="p">,</span> <span class="o">**</span><span class="bp">self</span><span class="o">.</span><span class="n">__kw</span><span class="p">)</span>
                <span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">type</span><span class="p">(</span><span class="n">res</span><span class="p">)</span><span class="o">.</span><span class="n">mro</span><span class="p">():</span>
                    <span class="k">if</span> <span class="n">t</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">__dispatch</span><span class="p">:</span>
                        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__dispatch</span><span class="p">[</span><span class="n">t</span><span class="p">][</span><span class="n">funcname</span><span class="p">](</span><span class="n">res</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kw</span><span class="p">)</span>
                <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;Lazy object returned unexpected type.&quot;</span><span class="p">)</span>

            <span class="k">if</span> <span class="n">klass</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">cls</span><span class="o">.</span><span class="n">__dispatch</span><span class="p">:</span>
                <span class="n">cls</span><span class="o">.</span><span class="n">__dispatch</span><span class="p">[</span><span class="n">klass</span><span class="p">]</span> <span class="o">=</span> <span class="p">{}</span>
            <span class="n">cls</span><span class="o">.</span><span class="n">__dispatch</span><span class="p">[</span><span class="n">klass</span><span class="p">][</span><span class="n">funcname</span><span class="p">]</span> <span class="o">=</span> <span class="n">method</span>
            <span class="k">return</span> <span class="n">__wrapper__</span>
        <span class="n">__promise__</span> <span class="o">=</span> <span class="nb">classmethod</span><span class="p">(</span><span class="n">__promise__</span><span class="p">)</span>

        <span class="k">def</span> <span class="nf">__text_cast</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
            <span class="k">return</span> <span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">__args</span><span class="p">,</span> <span class="o">**</span><span class="bp">self</span><span class="o">.</span><span class="n">__kw</span><span class="p">)</span>

        <span class="k">def</span> <span class="nf">__bytes_cast</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
            <span class="k">return</span> <span class="nb">bytes</span><span class="p">(</span><span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">__args</span><span class="p">,</span> <span class="o">**</span><span class="bp">self</span><span class="o">.</span><span class="n">__kw</span><span class="p">))</span>

        <span class="k">def</span> <span class="nf">__cast</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_delegate_bytes</span><span class="p">:</span>
                <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__bytes_cast</span><span class="p">()</span>
            <span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">_delegate_text</span><span class="p">:</span>
                <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__text_cast</span><span class="p">()</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="k">return</span> <span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">__args</span><span class="p">,</span> <span class="o">**</span><span class="bp">self</span><span class="o">.</span><span class="n">__kw</span><span class="p">)</span>

        <span class="k">def</span> <span class="nf">__eq__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
            <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span> <span class="n">Promise</span><span class="p">):</span>
                <span class="n">other</span> <span class="o">=</span> <span class="n">other</span><span class="o">.</span><span class="n">__cast</span><span class="p">()</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__cast</span><span class="p">()</span> <span class="o">==</span> <span class="n">other</span>

        <span class="k">def</span> <span class="nf">__lt__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
            <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span> <span class="n">Promise</span><span class="p">):</span>
                <span class="n">other</span> <span class="o">=</span> <span class="n">other</span><span class="o">.</span><span class="n">__cast</span><span class="p">()</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__cast</span><span class="p">()</span> <span class="o">&lt;</span> <span class="n">other</span>

        <span class="k">def</span> <span class="nf">__hash__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
            <span class="k">return</span> <span class="nb">hash</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">__cast</span><span class="p">())</span>

        <span class="k">def</span> <span class="nf">__mod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">rhs</span><span class="p">):</span>
            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_delegate_bytes</span> <span class="ow">and</span> <span class="n">six</span><span class="o">.</span><span class="n">PY2</span><span class="p">:</span>
                <span class="k">return</span> <span class="nb">bytes</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span> <span class="o">%</span> <span class="n">rhs</span>
            <span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">_delegate_text</span><span class="p">:</span>
                <span class="k">return</span> <span class="n">six</span><span class="o">.</span><span class="n">text_type</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span> <span class="o">%</span> <span class="n">rhs</span>
            <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__cast</span><span class="p">()</span> <span class="o">%</span> <span class="n">rhs</span>

        <span class="k">def</span> <span class="nf">__deepcopy__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">memo</span><span class="p">):</span>
            <span class="c"># Instances of this class are effectively immutable. It&#39;s just a</span>
            <span class="c"># collection of functions. So we don&#39;t need to do anything</span>
            <span class="c"># complicated for copying.</span>
            <span class="n">memo</span><span class="p">[</span><span class="nb">id</span><span class="p">(</span><span class="bp">self</span><span class="p">)]</span> <span class="o">=</span> <span class="bp">self</span>
            <span class="k">return</span> <span class="bp">self</span>

    <span class="nd">@wraps</span><span class="p">(</span><span class="n">func</span><span class="p">)</span>
    <span class="k">def</span> <span class="nf">__wrapper__</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kw</span><span class="p">):</span>
        <span class="c"># Creates the proxy object, instead of the actual value.</span>
        <span class="k">return</span> <span class="n">__proxy__</span><span class="p">(</span><span class="n">args</span><span class="p">,</span> <span class="n">kw</span><span class="p">)</span>

    <span class="k">return</span> <span class="n">__wrapper__</span>


<span class="k">def</span> <span class="nf">_lazy_proxy_unpickle</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="n">args</span><span class="p">,</span> <span class="n">kwargs</span><span class="p">,</span> <span class="o">*</span><span class="n">resultclasses</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">lazy</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="o">*</span><span class="n">resultclasses</span><span class="p">)(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>


<div class="viewcode-block" id="allow_lazy"><a class="viewcode-back" href="../../../ref/utils.html#django.utils.functional.allow_lazy">[docs]</a><span class="k">def</span> <span class="nf">allow_lazy</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="o">*</span><span class="n">resultclasses</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    A decorator that allows a function to be called with one or more lazy</span>
<span class="sd">    arguments. If none of the args are lazy, the function is evaluated</span>
<span class="sd">    immediately, otherwise a __proxy__ is returned that will evaluate the</span>
<span class="sd">    function when needed.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="nd">@wraps</span><span class="p">(</span><span class="n">func</span><span class="p">)</span>
    <span class="k">def</span> <span class="nf">wrapper</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
        <span class="k">for</span> <span class="n">arg</span> <span class="ow">in</span> <span class="nb">list</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> <span class="o">+</span> <span class="nb">list</span><span class="p">(</span><span class="n">six</span><span class="o">.</span><span class="n">itervalues</span><span class="p">(</span><span class="n">kwargs</span><span class="p">)):</span>
            <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">arg</span><span class="p">,</span> <span class="n">Promise</span><span class="p">):</span>
                <span class="k">break</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">return</span> <span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">lazy</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="o">*</span><span class="n">resultclasses</span><span class="p">)(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">wrapper</span>
</div>
<span class="n">empty</span> <span class="o">=</span> <span class="nb">object</span><span class="p">()</span>


<span class="k">def</span> <span class="nf">new_method_proxy</span><span class="p">(</span><span class="n">func</span><span class="p">):</span>
    <span class="k">def</span> <span class="nf">inner</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">):</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span> <span class="ow">is</span> <span class="n">empty</span><span class="p">:</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">_setup</span><span class="p">()</span>
        <span class="k">return</span> <span class="n">func</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">inner</span>


<span class="k">class</span> <span class="nc">LazyObject</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    A wrapper for another class that can be used to delay instantiation of the</span>
<span class="sd">    wrapped class.</span>

<span class="sd">    By subclassing, you have the opportunity to intercept and alter the</span>
<span class="sd">    instantiation. If you don&#39;t need to do that, use SimpleLazyObject.</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="c"># Avoid infinite recursion when tracing __init__ (#19456).</span>
    <span class="n">_wrapped</span> <span class="o">=</span> <span class="bp">None</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">_wrapped</span> <span class="o">=</span> <span class="n">empty</span>

    <span class="n">__getattr__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">getattr</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__setattr__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">name</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">name</span> <span class="o">==</span> <span class="s">&quot;_wrapped&quot;</span><span class="p">:</span>
            <span class="c"># Assign to __dict__ to avoid infinite __setattr__ loops.</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">__dict__</span><span class="p">[</span><span class="s">&quot;_wrapped&quot;</span><span class="p">]</span> <span class="o">=</span> <span class="n">value</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span> <span class="ow">is</span> <span class="n">empty</span><span class="p">:</span>
                <span class="bp">self</span><span class="o">.</span><span class="n">_setup</span><span class="p">()</span>
            <span class="nb">setattr</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span><span class="p">,</span> <span class="n">name</span><span class="p">,</span> <span class="n">value</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__delattr__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">name</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">name</span> <span class="o">==</span> <span class="s">&quot;_wrapped&quot;</span><span class="p">:</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;can&#39;t delete _wrapped.&quot;</span><span class="p">)</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span> <span class="ow">is</span> <span class="n">empty</span><span class="p">:</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">_setup</span><span class="p">()</span>
        <span class="nb">delattr</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span><span class="p">,</span> <span class="n">name</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">_setup</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Must be implemented by subclasses to initialise the wrapped object.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">raise</span> <span class="ne">NotImplementedError</span>

    <span class="c"># Introspection support</span>
    <span class="n">__dir__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">dir</span><span class="p">)</span>

    <span class="c"># Dictionary methods support</span>
    <span class="nd">@new_method_proxy</span>
    <span class="k">def</span> <span class="nf">__getitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="p">[</span><span class="n">key</span><span class="p">]</span>

    <span class="nd">@new_method_proxy</span>
    <span class="k">def</span> <span class="nf">__setitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
        <span class="bp">self</span><span class="p">[</span><span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="n">value</span>

    <span class="nd">@new_method_proxy</span>
    <span class="k">def</span> <span class="nf">__delitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">):</span>
        <span class="k">del</span> <span class="bp">self</span><span class="p">[</span><span class="n">key</span><span class="p">]</span>


<span class="c"># Workaround for http://bugs.python.org/issue12370</span>
<span class="n">_super</span> <span class="o">=</span> <span class="nb">super</span>


<span class="k">class</span> <span class="nc">SimpleLazyObject</span><span class="p">(</span><span class="n">LazyObject</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    A lazy object initialised from any function.</span>

<span class="sd">    Designed for compound objects of unknown type. For builtins or objects of</span>
<span class="sd">    known type, use django.utils.functional.lazy.</span>
<span class="sd">    &quot;&quot;&quot;</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="n">func</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Pass in a callable that returns the object to be wrapped.</span>

<span class="sd">        If copies are made of the resulting SimpleLazyObject, which can happen</span>
<span class="sd">        in various circumstances within Django, then you must ensure that the</span>
<span class="sd">        callable can be safely run more than once and will return the same</span>
<span class="sd">        value.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">__dict__</span><span class="p">[</span><span class="s">&#39;_setupfunc&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">func</span>
        <span class="n">_super</span><span class="p">(</span><span class="n">SimpleLazyObject</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="n">__init__</span><span class="p">()</span>

    <span class="k">def</span> <span class="nf">_setup</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">_wrapped</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_setupfunc</span><span class="p">()</span>

    <span class="k">if</span> <span class="n">six</span><span class="o">.</span><span class="n">PY3</span><span class="p">:</span>
        <span class="n">__bytes__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">bytes</span><span class="p">)</span>
        <span class="n">__str__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">str</span><span class="p">)</span>
    <span class="k">else</span><span class="p">:</span>
        <span class="n">__str__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">str</span><span class="p">)</span>
        <span class="n">__unicode__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">unicode</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__deepcopy__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">memo</span><span class="p">):</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span> <span class="ow">is</span> <span class="n">empty</span><span class="p">:</span>
            <span class="c"># We have to use SimpleLazyObject, not self.__class__, because the</span>
            <span class="c"># latter is proxied.</span>
            <span class="n">result</span> <span class="o">=</span> <span class="n">SimpleLazyObject</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_setupfunc</span><span class="p">)</span>
            <span class="n">memo</span><span class="p">[</span><span class="nb">id</span><span class="p">(</span><span class="bp">self</span><span class="p">)]</span> <span class="o">=</span> <span class="n">result</span>
            <span class="k">return</span> <span class="n">result</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">return</span> <span class="n">copy</span><span class="o">.</span><span class="n">deepcopy</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span><span class="p">,</span> <span class="n">memo</span><span class="p">)</span>

    <span class="c"># Because we have messed with __class__ below, we confuse pickle as to what</span>
    <span class="c"># class we are pickling. It also appears to stop __reduce__ from being</span>
    <span class="c"># called. So, we define __getstate__ in a way that cooperates with the way</span>
    <span class="c"># that pickle interprets this class.  This fails when the wrapped class is</span>
    <span class="c"># a builtin, but it is better than nothing.</span>
    <span class="k">def</span> <span class="nf">__getstate__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span> <span class="ow">is</span> <span class="n">empty</span><span class="p">:</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">_setup</span><span class="p">()</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span><span class="o">.</span><span class="n">__dict__</span>

    <span class="c"># Python 3.3 will call __reduce__ when pickling; this method is needed</span>
    <span class="c"># to serialize and deserialize correctly.</span>
    <span class="nd">@classmethod</span>
    <span class="k">def</span> <span class="nf">__newobj__</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">):</span>
        <span class="k">return</span> <span class="n">cls</span><span class="o">.</span><span class="n">__new__</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__reduce_ex__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">proto</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">proto</span> <span class="o">&gt;=</span> <span class="mi">2</span><span class="p">:</span>
            <span class="c"># On Py3, since the default protocol is 3, pickle uses the</span>
            <span class="c"># ``__newobj__`` method (&amp; more efficient opcodes) for writing.</span>
            <span class="k">return</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">__newobj__</span><span class="p">,</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">__class__</span><span class="p">,),</span> <span class="bp">self</span><span class="o">.</span><span class="n">__getstate__</span><span class="p">())</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="c"># On Py2, the default protocol is 0 (for back-compat) &amp; the above</span>
            <span class="c"># code fails miserably (see regression test). Instead, we return</span>
            <span class="c"># exactly what&#39;s returned if there&#39;s no ``__reduce__`` method at</span>
            <span class="c"># all.</span>
            <span class="k">return</span> <span class="p">(</span><span class="n">copyreg</span><span class="o">.</span><span class="n">_reconstructor</span><span class="p">,</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">__class__</span><span class="p">,</span> <span class="nb">object</span><span class="p">,</span> <span class="bp">None</span><span class="p">),</span> <span class="bp">self</span><span class="o">.</span><span class="n">__getstate__</span><span class="p">())</span>

    <span class="c"># Return a meaningful representation of the lazy object for debugging</span>
    <span class="c"># without evaluating the wrapped object.</span>
    <span class="k">def</span> <span class="nf">__repr__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span> <span class="ow">is</span> <span class="n">empty</span><span class="p">:</span>
            <span class="n">repr_attr</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_setupfunc</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="n">repr_attr</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_wrapped</span>
        <span class="k">return</span> <span class="s">&#39;&lt;SimpleLazyObject: </span><span class="si">%r</span><span class="s">&gt;&#39;</span> <span class="o">%</span> <span class="n">repr_attr</span>

    <span class="c"># Need to pretend to be the wrapped class, for the sake of objects that</span>
    <span class="c"># care about this (especially in equality tests)</span>
    <span class="n">__class__</span> <span class="o">=</span> <span class="nb">property</span><span class="p">(</span><span class="n">new_method_proxy</span><span class="p">(</span><span class="n">operator</span><span class="o">.</span><span class="n">attrgetter</span><span class="p">(</span><span class="s">&quot;__class__&quot;</span><span class="p">)))</span>
    <span class="n">__eq__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="n">operator</span><span class="o">.</span><span class="n">eq</span><span class="p">)</span>
    <span class="n">__ne__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="n">operator</span><span class="o">.</span><span class="n">ne</span><span class="p">)</span>
    <span class="n">__hash__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">hash</span><span class="p">)</span>
    <span class="n">__bool__</span> <span class="o">=</span> <span class="n">new_method_proxy</span><span class="p">(</span><span class="nb">bool</span><span class="p">)</span>       <span class="c"># Python 3</span>
    <span class="n">__nonzero__</span> <span class="o">=</span> <span class="n">__bool__</span>                  <span class="c"># Python 2</span>


<span class="k">class</span> <span class="nc">lazy_property</span><span class="p">(</span><span class="nb">property</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    A property that works with subclasses by wrapping the decorated</span>
<span class="sd">    functions of the base class.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="k">def</span> <span class="nf">__new__</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">fget</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">fset</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">fdel</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">doc</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">fget</span> <span class="ow">is</span> <span class="ow">not</span> <span class="bp">None</span><span class="p">:</span>
            <span class="nd">@wraps</span><span class="p">(</span><span class="n">fget</span><span class="p">)</span>
            <span class="k">def</span> <span class="nf">fget</span><span class="p">(</span><span class="n">instance</span><span class="p">,</span> <span class="n">instance_type</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="n">fget</span><span class="o">.</span><span class="n">__name__</span><span class="p">):</span>
                <span class="k">return</span> <span class="nb">getattr</span><span class="p">(</span><span class="n">instance</span><span class="p">,</span> <span class="n">name</span><span class="p">)()</span>
        <span class="k">if</span> <span class="n">fset</span> <span class="ow">is</span> <span class="ow">not</span> <span class="bp">None</span><span class="p">:</span>
            <span class="nd">@wraps</span><span class="p">(</span><span class="n">fset</span><span class="p">)</span>
            <span class="k">def</span> <span class="nf">fset</span><span class="p">(</span><span class="n">instance</span><span class="p">,</span> <span class="n">value</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="n">fset</span><span class="o">.</span><span class="n">__name__</span><span class="p">):</span>
                <span class="k">return</span> <span class="nb">getattr</span><span class="p">(</span><span class="n">instance</span><span class="p">,</span> <span class="n">name</span><span class="p">)(</span><span class="n">value</span><span class="p">)</span>
        <span class="k">if</span> <span class="n">fdel</span> <span class="ow">is</span> <span class="ow">not</span> <span class="bp">None</span><span class="p">:</span>
            <span class="nd">@wraps</span><span class="p">(</span><span class="n">fdel</span><span class="p">)</span>
            <span class="k">def</span> <span class="nf">fdel</span><span class="p">(</span><span class="n">instance</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="n">fdel</span><span class="o">.</span><span class="n">__name__</span><span class="p">):</span>
                <span class="k">return</span> <span class="nb">getattr</span><span class="p">(</span><span class="n">instance</span><span class="p">,</span> <span class="n">name</span><span class="p">)()</span>
        <span class="k">return</span> <span class="nb">property</span><span class="p">(</span><span class="n">fget</span><span class="p">,</span> <span class="n">fset</span><span class="p">,</span> <span class="n">fdel</span><span class="p">,</span> <span class="n">doc</span><span class="p">)</span>


<span class="k">def</span> <span class="nf">partition</span><span class="p">(</span><span class="n">predicate</span><span class="p">,</span> <span class="n">values</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Splits the values into two sets, based on the return value of the function</span>
<span class="sd">    (True/False). e.g.:</span>

<span class="sd">        &gt;&gt;&gt; partition(lambda x: x &gt; 3, range(5))</span>
<span class="sd">        [0, 1, 2, 3], [4]</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="n">results</span> <span class="o">=</span> <span class="p">([],</span> <span class="p">[])</span>
    <span class="k">for</span> <span class="n">item</span> <span class="ow">in</span> <span class="n">values</span><span class="p">:</span>
        <span class="n">results</span><span class="p">[</span><span class="n">predicate</span><span class="p">(</span><span class="n">item</span><span class="p">)]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">item</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">results</span>

<span class="k">if</span> <span class="n">sys</span><span class="o">.</span><span class="n">version_info</span> <span class="o">&gt;=</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">2</span><span class="p">):</span>
    <span class="kn">from</span> <span class="nn">functools</span> <span class="kn">import</span> <span class="n">total_ordering</span>
<span class="k">else</span><span class="p">:</span>
    <span class="c"># For Python &lt; 2.7.2. Python 2.6 does not have total_ordering, and</span>
    <span class="c"># total_ordering in 2.7 versions prior to 2.7.2 is buggy. See</span>
    <span class="c"># http://bugs.python.org/issue10042 for details. For these versions use</span>
    <span class="c"># code borrowed from Python 2.7.3.</span>
    <span class="k">def</span> <span class="nf">total_ordering</span><span class="p">(</span><span class="n">cls</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Class decorator that fills in missing ordering methods&quot;&quot;&quot;</span>
        <span class="n">convert</span> <span class="o">=</span> <span class="p">{</span>
            <span class="s">&#39;__lt__&#39;</span><span class="p">:</span> <span class="p">[(</span><span class="s">&#39;__gt__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="p">(</span><span class="bp">self</span> <span class="o">&lt;</span> <span class="n">other</span> <span class="ow">or</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">)),</span>
                       <span class="p">(</span><span class="s">&#39;__le__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="bp">self</span> <span class="o">&lt;</span> <span class="n">other</span> <span class="ow">or</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">),</span>
                       <span class="p">(</span><span class="s">&#39;__ge__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">&lt;</span> <span class="n">other</span><span class="p">)],</span>
            <span class="s">&#39;__le__&#39;</span><span class="p">:</span> <span class="p">[(</span><span class="s">&#39;__ge__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">&lt;=</span> <span class="n">other</span> <span class="ow">or</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">),</span>
                       <span class="p">(</span><span class="s">&#39;__lt__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="bp">self</span> <span class="o">&lt;=</span> <span class="n">other</span> <span class="ow">and</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">),</span>
                       <span class="p">(</span><span class="s">&#39;__gt__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">&lt;=</span> <span class="n">other</span><span class="p">)],</span>
            <span class="s">&#39;__gt__&#39;</span><span class="p">:</span> <span class="p">[(</span><span class="s">&#39;__lt__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="p">(</span><span class="bp">self</span> <span class="o">&gt;</span> <span class="n">other</span> <span class="ow">or</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">)),</span>
                       <span class="p">(</span><span class="s">&#39;__ge__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="bp">self</span> <span class="o">&gt;</span> <span class="n">other</span> <span class="ow">or</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">),</span>
                       <span class="p">(</span><span class="s">&#39;__le__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">&gt;</span> <span class="n">other</span><span class="p">)],</span>
            <span class="s">&#39;__ge__&#39;</span><span class="p">:</span> <span class="p">[(</span><span class="s">&#39;__le__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="p">(</span><span class="ow">not</span> <span class="bp">self</span> <span class="o">&gt;=</span> <span class="n">other</span><span class="p">)</span> <span class="ow">or</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">),</span>
                       <span class="p">(</span><span class="s">&#39;__gt__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="bp">self</span> <span class="o">&gt;=</span> <span class="n">other</span> <span class="ow">and</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">==</span> <span class="n">other</span><span class="p">),</span>
                       <span class="p">(</span><span class="s">&#39;__lt__&#39;</span><span class="p">,</span> <span class="k">lambda</span> <span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">:</span> <span class="ow">not</span> <span class="bp">self</span> <span class="o">&gt;=</span> <span class="n">other</span><span class="p">)]</span>
        <span class="p">}</span>
        <span class="n">roots</span> <span class="o">=</span> <span class="nb">set</span><span class="p">(</span><span class="nb">dir</span><span class="p">(</span><span class="n">cls</span><span class="p">))</span> <span class="o">&amp;</span> <span class="nb">set</span><span class="p">(</span><span class="n">convert</span><span class="p">)</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="n">roots</span><span class="p">:</span>
            <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s">&#39;must define at least one ordering operation: &lt; &gt; &lt;= &gt;=&#39;</span><span class="p">)</span>
        <span class="n">root</span> <span class="o">=</span> <span class="nb">max</span><span class="p">(</span><span class="n">roots</span><span class="p">)</span>       <span class="c"># prefer __lt__ to __le__ to __gt__ to __ge__</span>
        <span class="k">for</span> <span class="n">opname</span><span class="p">,</span> <span class="n">opfunc</span> <span class="ow">in</span> <span class="n">convert</span><span class="p">[</span><span class="n">root</span><span class="p">]:</span>
            <span class="k">if</span> <span class="n">opname</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">roots</span><span class="p">:</span>
                <span class="n">opfunc</span><span class="o">.</span><span class="n">__name__</span> <span class="o">=</span> <span class="n">opname</span>
                <span class="n">opfunc</span><span class="o">.</span><span class="n">__doc__</span> <span class="o">=</span> <span class="nb">getattr</span><span class="p">(</span><span class="nb">int</span><span class="p">,</span> <span class="n">opname</span><span class="p">)</span><span class="o">.</span><span class="n">__doc__</span>
                <span class="nb">setattr</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">opname</span><span class="p">,</span> <span class="n">opfunc</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">cls</span>
</pre></div>

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