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<div class="section" id="axes-grid-example-code-demo-curvelinear-grid-py">
<span id="axes-grid-demo-curvelinear-grid"></span><h1>axes_grid example code: demo_curvelinear_grid.py<a class="headerlink" href="#axes-grid-example-code-demo-curvelinear-grid-py" title="Permalink to this headline">ΒΆ</a></h1>
<p>(<a class="reference external" href="../../mpl_examples/axes_grid/demo_curvelinear_grid.py">Source code</a>, <a class="reference external" href="../../mpl_examples/axes_grid/demo_curvelinear_grid.png">png</a>, <a class="reference external" href="../../mpl_examples/axes_grid/demo_curvelinear_grid.hires.png">hires.png</a>, <a class="reference external" href="../../mpl_examples/axes_grid/demo_curvelinear_grid.pdf">pdf</a>)</p>
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<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="c">#from matplotlib.path import Path</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">import</span> <span class="nn">matplotlib.cbook</span> <span class="kn">as</span> <span class="nn">cbook</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist.grid_helper_curvelinear</span> <span class="kn">import</span> <span class="n">GridHelperCurveLinear</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist</span> <span class="kn">import</span> <span class="n">Subplot</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist</span> <span class="kn">import</span> <span class="n">SubplotHost</span><span class="p">,</span> \
<span class="n">ParasiteAxesAuxTrans</span>
<span class="k">def</span> <span class="nf">curvelinear_test1</span><span class="p">(</span><span class="n">fig</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> grid for custom transform.</span>
<span class="sd"> """</span>
<span class="k">def</span> <span class="nf">tr</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">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">asarray</span><span class="p">(</span><span class="n">x</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">asarray</span><span class="p">(</span><span class="n">y</span><span class="p">)</span>
<span class="k">return</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">-</span><span class="n">x</span>
<span class="k">def</span> <span class="nf">inv_tr</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">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">asarray</span><span class="p">(</span><span class="n">x</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">asarray</span><span class="p">(</span><span class="n">y</span><span class="p">)</span>
<span class="k">return</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">+</span><span class="n">x</span>
<span class="n">grid_helper</span> <span class="o">=</span> <span class="n">GridHelperCurveLinear</span><span class="p">((</span><span class="n">tr</span><span class="p">,</span> <span class="n">inv_tr</span><span class="p">))</span>
<span class="n">ax1</span> <span class="o">=</span> <span class="n">Subplot</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">grid_helper</span><span class="o">=</span><span class="n">grid_helper</span><span class="p">)</span>
<span class="c"># ax1 will have a ticks and gridlines defined by the given</span>
<span class="c"># transform (+ transData of the Axes). Note that the transform of</span>
<span class="c"># the Axes itself (i.e., transData) is not affected by the given</span>
<span class="c"># transform.</span>
<span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">ax1</span><span class="p">)</span>
<span class="n">xx</span><span class="p">,</span> <span class="n">yy</span> <span class="o">=</span> <span class="n">tr</span><span class="p">([</span><span class="mi">3</span><span class="p">,</span> <span class="mi">6</span><span class="p">],</span> <span class="p">[</span><span class="mf">5.0</span><span class="p">,</span> <span class="mf">10.</span><span class="p">])</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">xx</span><span class="p">,</span> <span class="n">yy</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_aspect</span><span class="p">(</span><span class="mf">1.</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">10.</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">10.</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s">"t"</span><span class="p">]</span><span class="o">=</span><span class="n">ax1</span><span class="o">.</span><span class="n">new_floating_axis</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">3.</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s">"t2"</span><span class="p">]</span><span class="o">=</span><span class="n">ax1</span><span class="o">.</span><span class="n">new_floating_axis</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mf">7.</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="bp">True</span><span class="p">)</span>
<span class="kn">import</span> <span class="nn">mpl_toolkits.axisartist.angle_helper</span> <span class="kn">as</span> <span class="nn">angle_helper</span>
<span class="kn">from</span> <span class="nn">matplotlib.projections</span> <span class="kn">import</span> <span class="n">PolarAxes</span>
<span class="kn">from</span> <span class="nn">matplotlib.transforms</span> <span class="kn">import</span> <span class="n">Affine2D</span>
<span class="k">def</span> <span class="nf">curvelinear_test2</span><span class="p">(</span><span class="n">fig</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> polar projection, but in a rectangular box.</span>
<span class="sd"> """</span>
<span class="c"># PolarAxes.PolarTransform takes radian. However, we want our coordinate</span>
<span class="c"># system in degree</span>
<span class="n">tr</span> <span class="o">=</span> <span class="n">Affine2D</span><span class="p">()</span><span class="o">.</span><span class="n">scale</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">/</span><span class="mf">180.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">+</span> <span class="n">PolarAxes</span><span class="o">.</span><span class="n">PolarTransform</span><span class="p">()</span>
<span class="c"># polar projection, which involves cycle, and also has limits in</span>
<span class="c"># its coordinates, needs a special method to find the extremes</span>
<span class="c"># (min, max of the coordinate within the view).</span>
<span class="c"># 20, 20 : number of sampling points along x, y direction</span>
<span class="n">extreme_finder</span> <span class="o">=</span> <span class="n">angle_helper</span><span class="o">.</span><span class="n">ExtremeFinderCycle</span><span class="p">(</span><span class="mi">20</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span>
<span class="n">lon_cycle</span> <span class="o">=</span> <span class="mi">360</span><span class="p">,</span>
<span class="n">lat_cycle</span> <span class="o">=</span> <span class="bp">None</span><span class="p">,</span>
<span class="n">lon_minmax</span> <span class="o">=</span> <span class="bp">None</span><span class="p">,</span>
<span class="n">lat_minmax</span> <span class="o">=</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">inf</span><span class="p">),</span>
<span class="p">)</span>
<span class="n">grid_locator1</span> <span class="o">=</span> <span class="n">angle_helper</span><span class="o">.</span><span class="n">LocatorDMS</span><span class="p">(</span><span class="mi">12</span><span class="p">)</span>
<span class="c"># Find a grid values appropriate for the coordinate (degree,</span>
<span class="c"># minute, second).</span>
<span class="n">tick_formatter1</span> <span class="o">=</span> <span class="n">angle_helper</span><span class="o">.</span><span class="n">FormatterDMS</span><span class="p">()</span>
<span class="c"># And also uses an appropriate formatter. Note that,the</span>
<span class="c"># acceptable Locator and Formatter class is a bit different than</span>
<span class="c"># that of mpl's, and you cannot directly use mpl's Locator and</span>
<span class="c"># Formatter here (but may be possible in the future).</span>
<span class="n">grid_helper</span> <span class="o">=</span> <span class="n">GridHelperCurveLinear</span><span class="p">(</span><span class="n">tr</span><span class="p">,</span>
<span class="n">extreme_finder</span><span class="o">=</span><span class="n">extreme_finder</span><span class="p">,</span>
<span class="n">grid_locator1</span><span class="o">=</span><span class="n">grid_locator1</span><span class="p">,</span>
<span class="n">tick_formatter1</span><span class="o">=</span><span class="n">tick_formatter1</span>
<span class="p">)</span>
<span class="n">ax1</span> <span class="o">=</span> <span class="n">SubplotHost</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="n">grid_helper</span><span class="o">=</span><span class="n">grid_helper</span><span class="p">)</span>
<span class="c"># make ticklabels of right and top axis visible.</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s">"right"</span><span class="p">]</span><span class="o">.</span><span class="n">major_ticklabels</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">True</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s">"top"</span><span class="p">]</span><span class="o">.</span><span class="n">major_ticklabels</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">True</span><span class="p">)</span>
<span class="c"># let right axis shows ticklabels for 1st coordinate (angle)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s">"right"</span><span class="p">]</span><span class="o">.</span><span class="n">get_helper</span><span class="p">()</span><span class="o">.</span><span class="n">nth_coord_ticks</span><span class="o">=</span><span class="mi">0</span>
<span class="c"># let bottom axis shows ticklabels for 2nd coordinate (radius)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s">"bottom"</span><span class="p">]</span><span class="o">.</span><span class="n">get_helper</span><span class="p">()</span><span class="o">.</span><span class="n">nth_coord_ticks</span><span class="o">=</span><span class="mi">1</span>
<span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">ax1</span><span class="p">)</span>
<span class="c"># A parasite axes with given transform</span>
<span class="n">ax2</span> <span class="o">=</span> <span class="n">ParasiteAxesAuxTrans</span><span class="p">(</span><span class="n">ax1</span><span class="p">,</span> <span class="n">tr</span><span class="p">,</span> <span class="s">"equal"</span><span class="p">)</span>
<span class="c"># note that ax2.transData == tr + ax1.transData</span>
<span class="c"># Anthing you draw in ax2 will match the ticks and grids of ax1.</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">parasites</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">ax2</span><span class="p">)</span>
<span class="n">intp</span> <span class="o">=</span> <span class="n">cbook</span><span class="o">.</span><span class="n">simple_linear_interpolation</span>
<span class="n">ax2</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">intp</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mi">30</span><span class="p">]),</span> <span class="mi">50</span><span class="p">),</span>
<span class="n">intp</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">10.</span><span class="p">,</span> <span class="mf">10.</span><span class="p">]),</span> <span class="mi">50</span><span class="p">))</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_aspect</span><span class="p">(</span><span class="mf">1.</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="o">-</span><span class="mi">5</span><span class="p">,</span> <span class="mi">12</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="o">-</span><span class="mi">5</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="bp">True</span><span class="p">)</span>
<span class="k">if</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">7</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
<span class="n">fig</span><span class="o">.</span><span class="n">clf</span><span class="p">()</span>
<span class="n">curvelinear_test1</span><span class="p">(</span><span class="n">fig</span><span class="p">)</span>
<span class="n">curvelinear_test2</span><span class="p">(</span><span class="n">fig</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">draw</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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