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  <div class="section" id="pylab-examples-example-code-custom-cmap-py">
<span id="pylab-examples-custom-cmap"></span><h1>pylab_examples example code: custom_cmap.py<a class="headerlink" href="#pylab-examples-example-code-custom-cmap-py" title="Permalink to this headline">ΒΆ</a></h1>
<p>(<a class="reference external" href="../../mpl_examples/pylab_examples/custom_cmap.py">Source code</a>, <a class="reference external" href="../../mpl_examples/pylab_examples/custom_cmap.png">png</a>, <a class="reference external" href="../../mpl_examples/pylab_examples/custom_cmap.hires.png">hires.png</a>, <a class="reference external" href="../../mpl_examples/pylab_examples/custom_cmap.pdf">pdf</a>)</p>
<div class="figure">
<img alt="../../_images/custom_cmap.png" src="../../_images/custom_cmap.png" />
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="c">#!/usr/bin/env python</span>

<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span>
<span class="kn">from</span> <span class="nn">matplotlib.colors</span> <span class="kn">import</span> <span class="n">LinearSegmentedColormap</span>

<span class="sd">&quot;&quot;&quot;</span>

<span class="sd">Example: suppose you want red to increase from 0 to 1 over the bottom</span>
<span class="sd">half, green to do the same over the middle half, and blue over the top</span>
<span class="sd">half.  Then you would use:</span>

<span class="sd">cdict = {&#39;red&#39;:   ((0.0,  0.0, 0.0),</span>
<span class="sd">                   (0.5,  1.0, 1.0),</span>
<span class="sd">                   (1.0,  1.0, 1.0)),</span>

<span class="sd">         &#39;green&#39;: ((0.0,  0.0, 0.0),</span>
<span class="sd">                   (0.25, 0.0, 0.0),</span>
<span class="sd">                   (0.75, 1.0, 1.0),</span>
<span class="sd">                   (1.0,  1.0, 1.0)),</span>

<span class="sd">         &#39;blue&#39;:  ((0.0,  0.0, 0.0),</span>
<span class="sd">                   (0.5,  0.0, 0.0),</span>
<span class="sd">                   (1.0,  1.0, 1.0))}</span>

<span class="sd">If, as in this example, there are no discontinuities in the r, g, and b</span>
<span class="sd">components, then it is quite simple: the second and third element of</span>
<span class="sd">each tuple, above, is the same--call it &quot;y&quot;.  The first element (&quot;x&quot;)</span>
<span class="sd">defines interpolation intervals over the full range of 0 to 1, and it</span>
<span class="sd">must span that whole range.  In other words, the values of x divide the</span>
<span class="sd">0-to-1 range into a set of segments, and y gives the end-point color</span>
<span class="sd">values for each segment.</span>

<span class="sd">Now consider the green. cdict[&#39;green&#39;] is saying that for</span>
<span class="sd">0 &lt;= x &lt;= 0.25, y is zero; no green.</span>
<span class="sd">0.25 &lt; x &lt;= 0.75, y varies linearly from 0 to 1.</span>
<span class="sd">x &gt; 0.75, y remains at 1, full green.</span>

<span class="sd">If there are discontinuities, then it is a little more complicated.</span>
<span class="sd">Label the 3 elements in each row in the cdict entry for a given color as</span>
<span class="sd">(x, y0, y1).  Then for values of x between x[i] and x[i+1] the color</span>
<span class="sd">value is interpolated between y1[i] and y0[i+1].</span>

<span class="sd">Going back to the cookbook example, look at cdict[&#39;red&#39;]; because y0 !=</span>
<span class="sd">y1, it is saying that for x from 0 to 0.5, red increases from 0 to 1,</span>
<span class="sd">but then it jumps down, so that for x from 0.5 to 1, red increases from</span>
<span class="sd">0.7 to 1.  Green ramps from 0 to 1 as x goes from 0 to 0.5, then jumps</span>
<span class="sd">back to 0, and ramps back to 1 as x goes from 0.5 to 1.</span>

<span class="sd">row i:   x  y0  y1</span>
<span class="sd">                /</span>
<span class="sd">               /</span>
<span class="sd">row i+1: x  y0  y1</span>

<span class="sd">Above is an attempt to show that for x in the range x[i] to x[i+1], the</span>
<span class="sd">interpolation is between y1[i] and y0[i+1].  So, y0[0] and y1[-1] are</span>
<span class="sd">never used.</span>

<span class="sd">&quot;&quot;&quot;</span>



<span class="n">cdict1</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;red&#39;</span><span class="p">:</span>   <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)),</span>

         <span class="s">&#39;green&#39;</span><span class="p">:</span> <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)),</span>

         <span class="s">&#39;blue&#39;</span><span class="p">:</span>  <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">))</span>
        <span class="p">}</span>

<span class="n">cdict2</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;red&#39;</span><span class="p">:</span>   <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)),</span>

         <span class="s">&#39;green&#39;</span><span class="p">:</span> <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)),</span>

         <span class="s">&#39;blue&#39;</span><span class="p">:</span>  <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">))</span>
        <span class="p">}</span>

<span class="n">cdict3</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;red&#39;</span><span class="p">:</span>  <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.25</span><span class="p">,</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.8</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.75</span><span class="p">,</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.4</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)),</span>

         <span class="s">&#39;green&#39;</span><span class="p">:</span> <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.25</span><span class="p">,</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.9</span><span class="p">,</span> <span class="mf">0.9</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.75</span><span class="p">,</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)),</span>

         <span class="s">&#39;blue&#39;</span><span class="p">:</span>  <span class="p">((</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.4</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.25</span><span class="p">,</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.8</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">0.75</span><span class="p">,</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
                   <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">))</span>
        <span class="p">}</span>

<span class="c"># Now we will use this example to illustrate 3 ways of</span>
<span class="c"># handling custom colormaps.</span>
<span class="c"># First, the most direct and explicit:</span>

<span class="n">blue_red1</span> <span class="o">=</span> <span class="n">LinearSegmentedColormap</span><span class="p">(</span><span class="s">&#39;BlueRed1&#39;</span><span class="p">,</span> <span class="n">cdict1</span><span class="p">)</span>

<span class="c"># Second, create the map explicitly and register it.</span>
<span class="c"># Like the first method, this method works with any kind</span>
<span class="c"># of Colormap, not just</span>
<span class="c"># a LinearSegmentedColormap:</span>

<span class="n">blue_red2</span> <span class="o">=</span> <span class="n">LinearSegmentedColormap</span><span class="p">(</span><span class="s">&#39;BlueRed2&#39;</span><span class="p">,</span> <span class="n">cdict2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">register_cmap</span><span class="p">(</span><span class="n">cmap</span><span class="o">=</span><span class="n">blue_red2</span><span class="p">)</span>

<span class="c"># Third, for LinearSegmentedColormap only,</span>
<span class="c"># leave everything to register_cmap:</span>

<span class="n">plt</span><span class="o">.</span><span class="n">register_cmap</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="s">&#39;BlueRed3&#39;</span><span class="p">,</span> <span class="n">data</span><span class="o">=</span><span class="n">cdict3</span><span class="p">)</span> <span class="c"># optional lut kwarg</span>

<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">)</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">)</span>
<span class="n">X</span><span class="p">,</span> <span class="n">Y</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">meshgrid</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">y</span><span class="p">)</span>
<span class="n">Z</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">X</span><span class="p">)</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">Y</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots_adjust</span><span class="p">(</span><span class="n">wspace</span><span class="o">=</span><span class="mf">0.3</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">imshow</span><span class="p">(</span><span class="n">Z</span><span class="p">,</span> <span class="n">interpolation</span><span class="o">=</span><span class="s">&#39;nearest&#39;</span><span class="p">,</span> <span class="n">cmap</span><span class="o">=</span><span class="n">blue_red1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">)</span>
<span class="n">cmap</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">get_cmap</span><span class="p">(</span><span class="s">&#39;BlueRed2&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">imshow</span><span class="p">(</span><span class="n">Z</span><span class="p">,</span> <span class="n">interpolation</span><span class="o">=</span><span class="s">&#39;nearest&#39;</span><span class="p">,</span> <span class="n">cmap</span><span class="o">=</span><span class="n">cmap</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">()</span>

<span class="c"># Now we will set the third cmap as the default.  One would</span>
<span class="c"># not normally do this in the middle of a script like this;</span>
<span class="c"># it is done here just to illustrate the method.</span>

<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s">&#39;image.cmap&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="s">&#39;BlueRed3&#39;</span>

<span class="c"># Also see below for an alternative, particularly for</span>
<span class="c"># interactive use.</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">imshow</span><span class="p">(</span><span class="n">Z</span><span class="p">,</span> <span class="n">interpolation</span><span class="o">=</span><span class="s">&#39;nearest&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">()</span>

<span class="c"># Or as yet another variation, we could replace the rcParams</span>
<span class="c"># specification *before* the imshow with the following *after*</span>
<span class="c"># imshow:</span>
<span class="c">#</span>
<span class="c"># plt.set_cmap(&#39;BlueRed3&#39;)</span>
<span class="c">#</span>
<span class="c"># This sets the new default *and* sets the colormap of the last</span>
<span class="c"># image-like item plotted via pyplot, if any.</span>


<span class="n">plt</span><span class="o">.</span><span class="n">suptitle</span><span class="p">(</span><span class="s">&#39;Custom Blue-Red colormaps&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
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<p>Keywords: python, matplotlib, pylab, example, codex (see <a class="reference internal" href="../../faq/howto_faq.html#how-to-search-examples"><em>Search examples</em></a>)</p>
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