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  <h1>Source code for PIL.ImageMath</h1><div class="highlight"><pre>
<span></span><span class="c1">#</span>
<span class="c1"># The Python Imaging Library</span>
<span class="c1"># $Id$</span>
<span class="c1">#</span>
<span class="c1"># a simple math add-on for the Python Imaging Library</span>
<span class="c1">#</span>
<span class="c1"># History:</span>
<span class="c1"># 1999-02-15 fl   Original PIL Plus release</span>
<span class="c1"># 2005-05-05 fl   Simplified and cleaned up for PIL 1.1.6</span>
<span class="c1"># 2005-09-12 fl   Fixed int() and float() for Python 2.4.1</span>
<span class="c1">#</span>
<span class="c1"># Copyright (c) 1999-2005 by Secret Labs AB</span>
<span class="c1"># Copyright (c) 2005 by Fredrik Lundh</span>
<span class="c1">#</span>
<span class="c1"># See the README file for information on usage and redistribution.</span>
<span class="c1">#</span>

<span class="kn">from</span> <span class="nn">.</span> <span class="k">import</span> <span class="n">Image</span><span class="p">,</span> <span class="n">_imagingmath</span>
<span class="kn">from</span> <span class="nn">._util</span> <span class="k">import</span> <span class="n">py3</span>

<span class="k">try</span><span class="p">:</span>
    <span class="kn">import</span> <span class="nn">builtins</span>
<span class="k">except</span> <span class="ne">ImportError</span><span class="p">:</span>
    <span class="kn">import</span> <span class="nn">__builtin__</span>
    <span class="n">builtins</span> <span class="o">=</span> <span class="n">__builtin__</span>

<span class="n">VERBOSE</span> <span class="o">=</span> <span class="mi">0</span>


<span class="k">def</span> <span class="nf">_isconstant</span><span class="p">(</span><span class="n">v</span><span class="p">):</span>
    <span class="k">return</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">v</span><span class="p">,</span> <span class="nb">int</span><span class="p">)</span> <span class="ow">or</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">v</span><span class="p">,</span> <span class="nb">float</span><span class="p">)</span>


<span class="k">class</span> <span class="nc">_Operand</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;Wraps an image operand, providing standard operators&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">im</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">im</span> <span class="o">=</span> <span class="n">im</span>

    <span class="k">def</span> <span class="nf">__fixup</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">im1</span><span class="p">):</span>
        <span class="c1"># convert image to suitable mode</span>
        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">im1</span><span class="p">,</span> <span class="n">_Operand</span><span class="p">):</span>
            <span class="c1"># argument was an image.</span>
            <span class="k">if</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">mode</span> <span class="ow">in</span> <span class="p">(</span><span class="s2">&quot;1&quot;</span><span class="p">,</span> <span class="s2">&quot;L&quot;</span><span class="p">):</span>
                <span class="k">return</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">convert</span><span class="p">(</span><span class="s2">&quot;I&quot;</span><span class="p">)</span>
            <span class="k">elif</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">mode</span> <span class="ow">in</span> <span class="p">(</span><span class="s2">&quot;I&quot;</span><span class="p">,</span> <span class="s2">&quot;F&quot;</span><span class="p">):</span>
                <span class="k">return</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;unsupported mode: </span><span class="si">%s</span><span class="s2">&quot;</span> <span class="o">%</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">mode</span><span class="p">)</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="c1"># argument was a constant</span>
            <span class="k">if</span> <span class="n">_isconstant</span><span class="p">(</span><span class="n">im1</span><span class="p">)</span> <span class="ow">and</span> <span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">mode</span> <span class="ow">in</span> <span class="p">(</span><span class="s2">&quot;1&quot;</span><span class="p">,</span> <span class="s2">&quot;L&quot;</span><span class="p">,</span> <span class="s2">&quot;I&quot;</span><span class="p">):</span>
                <span class="k">return</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span><span class="s2">&quot;I&quot;</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">size</span><span class="p">,</span> <span class="n">im1</span><span class="p">)</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="k">return</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span><span class="s2">&quot;F&quot;</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">size</span><span class="p">,</span> <span class="n">im1</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">apply</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">op</span><span class="p">,</span> <span class="n">im1</span><span class="p">,</span> <span class="n">im2</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">mode</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
        <span class="n">im1</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">__fixup</span><span class="p">(</span><span class="n">im1</span><span class="p">)</span>
        <span class="k">if</span> <span class="n">im2</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
            <span class="c1"># unary operation</span>
            <span class="n">out</span> <span class="o">=</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span><span class="n">mode</span> <span class="ow">or</span> <span class="n">im1</span><span class="o">.</span><span class="n">mode</span><span class="p">,</span> <span class="n">im1</span><span class="o">.</span><span class="n">size</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
            <span class="n">im1</span><span class="o">.</span><span class="n">load</span><span class="p">()</span>
            <span class="k">try</span><span class="p">:</span>
                <span class="n">op</span> <span class="o">=</span> <span class="nb">getattr</span><span class="p">(</span><span class="n">_imagingmath</span><span class="p">,</span> <span class="n">op</span><span class="o">+</span><span class="s2">&quot;_&quot;</span><span class="o">+</span><span class="n">im1</span><span class="o">.</span><span class="n">mode</span><span class="p">)</span>
            <span class="k">except</span> <span class="ne">AttributeError</span><span class="p">:</span>
                <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s2">&quot;bad operand type for &#39;</span><span class="si">%s</span><span class="s2">&#39;&quot;</span> <span class="o">%</span> <span class="n">op</span><span class="p">)</span>
            <span class="n">_imagingmath</span><span class="o">.</span><span class="n">unop</span><span class="p">(</span><span class="n">op</span><span class="p">,</span> <span class="n">out</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">id</span><span class="p">,</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">id</span><span class="p">)</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="c1"># binary operation</span>
            <span class="n">im2</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">__fixup</span><span class="p">(</span><span class="n">im2</span><span class="p">)</span>
            <span class="k">if</span> <span class="n">im1</span><span class="o">.</span><span class="n">mode</span> <span class="o">!=</span> <span class="n">im2</span><span class="o">.</span><span class="n">mode</span><span class="p">:</span>
                <span class="c1"># convert both arguments to floating point</span>
                <span class="k">if</span> <span class="n">im1</span><span class="o">.</span><span class="n">mode</span> <span class="o">!=</span> <span class="s2">&quot;F&quot;</span><span class="p">:</span>
                    <span class="n">im1</span> <span class="o">=</span> <span class="n">im1</span><span class="o">.</span><span class="n">convert</span><span class="p">(</span><span class="s2">&quot;F&quot;</span><span class="p">)</span>
                <span class="k">if</span> <span class="n">im2</span><span class="o">.</span><span class="n">mode</span> <span class="o">!=</span> <span class="s2">&quot;F&quot;</span><span class="p">:</span>
                    <span class="n">im2</span> <span class="o">=</span> <span class="n">im2</span><span class="o">.</span><span class="n">convert</span><span class="p">(</span><span class="s2">&quot;F&quot;</span><span class="p">)</span>
                <span class="k">if</span> <span class="n">im1</span><span class="o">.</span><span class="n">mode</span> <span class="o">!=</span> <span class="n">im2</span><span class="o">.</span><span class="n">mode</span><span class="p">:</span>
                    <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;mode mismatch&quot;</span><span class="p">)</span>
            <span class="k">if</span> <span class="n">im1</span><span class="o">.</span><span class="n">size</span> <span class="o">!=</span> <span class="n">im2</span><span class="o">.</span><span class="n">size</span><span class="p">:</span>
                <span class="c1"># crop both arguments to a common size</span>
                <span class="n">size</span> <span class="o">=</span> <span class="p">(</span><span class="nb">min</span><span class="p">(</span><span class="n">im1</span><span class="o">.</span><span class="n">size</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">im2</span><span class="o">.</span><span class="n">size</span><span class="p">[</span><span class="mi">0</span><span class="p">]),</span>
                        <span class="nb">min</span><span class="p">(</span><span class="n">im1</span><span class="o">.</span><span class="n">size</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">im2</span><span class="o">.</span><span class="n">size</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>
                <span class="k">if</span> <span class="n">im1</span><span class="o">.</span><span class="n">size</span> <span class="o">!=</span> <span class="n">size</span><span class="p">:</span>
                    <span class="n">im1</span> <span class="o">=</span> <span class="n">im1</span><span class="o">.</span><span class="n">crop</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="o">+</span> <span class="n">size</span><span class="p">)</span>
                <span class="k">if</span> <span class="n">im2</span><span class="o">.</span><span class="n">size</span> <span class="o">!=</span> <span class="n">size</span><span class="p">:</span>
                    <span class="n">im2</span> <span class="o">=</span> <span class="n">im2</span><span class="o">.</span><span class="n">crop</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="o">+</span> <span class="n">size</span><span class="p">)</span>
                <span class="n">out</span> <span class="o">=</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span><span class="n">mode</span> <span class="ow">or</span> <span class="n">im1</span><span class="o">.</span><span class="n">mode</span><span class="p">,</span> <span class="n">size</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
            <span class="k">else</span><span class="p">:</span>
                <span class="n">out</span> <span class="o">=</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span><span class="n">mode</span> <span class="ow">or</span> <span class="n">im1</span><span class="o">.</span><span class="n">mode</span><span class="p">,</span> <span class="n">im1</span><span class="o">.</span><span class="n">size</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
            <span class="n">im1</span><span class="o">.</span><span class="n">load</span><span class="p">()</span>
            <span class="n">im2</span><span class="o">.</span><span class="n">load</span><span class="p">()</span>
            <span class="k">try</span><span class="p">:</span>
                <span class="n">op</span> <span class="o">=</span> <span class="nb">getattr</span><span class="p">(</span><span class="n">_imagingmath</span><span class="p">,</span> <span class="n">op</span><span class="o">+</span><span class="s2">&quot;_&quot;</span><span class="o">+</span><span class="n">im1</span><span class="o">.</span><span class="n">mode</span><span class="p">)</span>
            <span class="k">except</span> <span class="ne">AttributeError</span><span class="p">:</span>
                <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s2">&quot;bad operand type for &#39;</span><span class="si">%s</span><span class="s2">&#39;&quot;</span> <span class="o">%</span> <span class="n">op</span><span class="p">)</span>
            <span class="n">_imagingmath</span><span class="o">.</span><span class="n">binop</span><span class="p">(</span><span class="n">op</span><span class="p">,</span> <span class="n">out</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">id</span><span class="p">,</span> <span class="n">im1</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">id</span><span class="p">,</span> <span class="n">im2</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">id</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">_Operand</span><span class="p">(</span><span class="n">out</span><span class="p">)</span>

    <span class="c1"># unary operators</span>
    <span class="k">def</span> <span class="nf">__bool__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="c1"># an image is &quot;true&quot; if it contains at least one non-zero pixel</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">getbbox</span><span class="p">()</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span>

    <span class="k">if</span> <span class="ow">not</span> <span class="n">py3</span><span class="p">:</span>
        <span class="c1"># Provide __nonzero__ for pre-Py3k</span>
        <span class="n">__nonzero__</span> <span class="o">=</span> <span class="fm">__bool__</span>
        <span class="k">del</span> <span class="fm">__bool__</span>

    <span class="k">def</span> <span class="nf">__abs__</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">apply</span><span class="p">(</span><span class="s2">&quot;abs&quot;</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__pos__</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="k">def</span> <span class="nf">__neg__</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">apply</span><span class="p">(</span><span class="s2">&quot;neg&quot;</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="c1"># binary operators</span>
    <span class="k">def</span> <span class="nf">__add__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;add&quot;</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">def</span> <span class="nf">__radd__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;add&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__sub__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;sub&quot;</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">def</span> <span class="nf">__rsub__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;sub&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__mul__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;mul&quot;</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">def</span> <span class="nf">__rmul__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;mul&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__truediv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;div&quot;</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">def</span> <span class="nf">__rtruediv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;div&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</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">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;mod&quot;</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">def</span> <span class="nf">__rmod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;mod&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__pow__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;pow&quot;</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">def</span> <span class="nf">__rpow__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;pow&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">if</span> <span class="ow">not</span> <span class="n">py3</span><span class="p">:</span>
        <span class="c1"># Provide __div__ and __rdiv__ for pre-Py3k</span>
        <span class="n">__div__</span> <span class="o">=</span> <span class="fm">__truediv__</span>
        <span class="n">__rdiv__</span> <span class="o">=</span> <span class="fm">__rtruediv__</span>
        <span class="k">del</span> <span class="fm">__truediv__</span>
        <span class="k">del</span> <span class="fm">__rtruediv__</span>

    <span class="c1"># bitwise</span>
    <span class="k">def</span> <span class="nf">__invert__</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">apply</span><span class="p">(</span><span class="s2">&quot;invert&quot;</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__and__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;and&quot;</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">def</span> <span class="nf">__rand__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;and&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__or__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;or&quot;</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">def</span> <span class="nf">__ror__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;or&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__xor__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;xor&quot;</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">def</span> <span class="nf">__rxor__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;xor&quot;</span><span class="p">,</span> <span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span>

    <span class="k">def</span> <span class="nf">__lshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;lshift&quot;</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">def</span> <span class="nf">__rshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;rshift&quot;</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="c1"># logical</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">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;eq&quot;</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">def</span> <span class="nf">__ne__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;ne&quot;</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">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">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;lt&quot;</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">def</span> <span class="nf">__le__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;le&quot;</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">def</span> <span class="nf">__gt__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;gt&quot;</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">def</span> <span class="nf">__ge__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;ge&quot;</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="c1"># conversions</span>
<span class="k">def</span> <span class="nf">imagemath_int</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">_Operand</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">convert</span><span class="p">(</span><span class="s2">&quot;I&quot;</span><span class="p">))</span>


<span class="k">def</span> <span class="nf">imagemath_float</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">_Operand</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">convert</span><span class="p">(</span><span class="s2">&quot;F&quot;</span><span class="p">))</span>


<span class="c1"># logical</span>
<span class="k">def</span> <span class="nf">imagemath_equal</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
    <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;eq&quot;</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="n">mode</span><span class="o">=</span><span class="s2">&quot;I&quot;</span><span class="p">)</span>


<span class="k">def</span> <span class="nf">imagemath_notequal</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
    <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;ne&quot;</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="n">mode</span><span class="o">=</span><span class="s2">&quot;I&quot;</span><span class="p">)</span>


<span class="k">def</span> <span class="nf">imagemath_min</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
    <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;min&quot;</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">def</span> <span class="nf">imagemath_max</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
    <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="s2">&quot;max&quot;</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">def</span> <span class="nf">imagemath_convert</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">mode</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">_Operand</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">im</span><span class="o">.</span><span class="n">convert</span><span class="p">(</span><span class="n">mode</span><span class="p">))</span>


<span class="n">ops</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span> <span class="ow">in</span> <span class="nb">list</span><span class="p">(</span><span class="nb">globals</span><span class="p">()</span><span class="o">.</span><span class="n">items</span><span class="p">()):</span>
    <span class="k">if</span> <span class="n">k</span><span class="p">[:</span><span class="mi">10</span><span class="p">]</span> <span class="o">==</span> <span class="s2">&quot;imagemath_&quot;</span><span class="p">:</span>
        <span class="n">ops</span><span class="p">[</span><span class="n">k</span><span class="p">[</span><span class="mi">10</span><span class="p">:]]</span> <span class="o">=</span> <span class="n">v</span>


<div class="viewcode-block" id="eval"><a class="viewcode-back" href="../../reference/ImageMath.html#PIL.ImageMath.eval">[docs]</a><span class="k">def</span> <span class="nf">eval</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">_dict</span><span class="o">=</span><span class="p">{},</span> <span class="o">**</span><span class="n">kw</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Evaluates an image expression.</span>

<span class="sd">    :param expression: A string containing a Python-style expression.</span>
<span class="sd">    :param options: Values to add to the evaluation context.  You</span>
<span class="sd">                    can either use a dictionary, or one or more keyword</span>
<span class="sd">                    arguments.</span>
<span class="sd">    :return: The evaluated expression. This is usually an image object, but can</span>
<span class="sd">             also be an integer, a floating point value, or a pixel tuple,</span>
<span class="sd">             depending on the expression.</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="c1"># build execution namespace</span>
    <span class="n">args</span> <span class="o">=</span> <span class="n">ops</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
    <span class="n">args</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">_dict</span><span class="p">)</span>
    <span class="n">args</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">kw</span><span class="p">)</span>
    <span class="k">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span> <span class="ow">in</span> <span class="nb">list</span><span class="p">(</span><span class="n">args</span><span class="o">.</span><span class="n">items</span><span class="p">()):</span>
        <span class="k">if</span> <span class="nb">hasattr</span><span class="p">(</span><span class="n">v</span><span class="p">,</span> <span class="s2">&quot;im&quot;</span><span class="p">):</span>
            <span class="n">args</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="o">=</span> <span class="n">_Operand</span><span class="p">(</span><span class="n">v</span><span class="p">)</span>

    <span class="n">out</span> <span class="o">=</span> <span class="n">builtins</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">args</span><span class="p">)</span>
    <span class="k">try</span><span class="p">:</span>
        <span class="k">return</span> <span class="n">out</span><span class="o">.</span><span class="n">im</span>
    <span class="k">except</span> <span class="ne">AttributeError</span><span class="p">:</span>
        <span class="k">return</span> <span class="n">out</span></div>
</pre></div>

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