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<div class="section" id="line-poly-and-regularpoly-collection-with-autoscaling">
<span id="sphx-glr-gallery-api-collections-py"></span><h1>Line, Poly and RegularPoly Collection with autoscaling<a class="headerlink" href="#line-poly-and-regularpoly-collection-with-autoscaling" title="Permalink to this headline">¶</a></h1>
<p>For the first two subplots, we will use spirals. Their
size will be set in plot units, not data units. Their positions
will be set in data units by using the “offsets” and “transOffset”
kwargs of the LineCollection and PolyCollection.</p>
<p>The third subplot will make regular polygons, with the same
type of scaling and positioning as in the first two.</p>
<p>The last subplot illustrates the use of “offsets=(xo,yo)”,
that is, a single tuple instead of a list of tuples, to generate
successively offset curves, with the offset given in data
units. This behavior is available only for the LineCollection.</p>
<img alt="../../_images/sphx_glr_collections_001.png" class="align-center" src="../../_images/sphx_glr_collections_001.png" />
<div class="highlight-python"><div class="highlight"><pre><span></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</span> <span class="kn">import</span> <span class="n">collections</span><span class="p">,</span> <a href="../../api/colors_api.html#module-matplotlib.colors" title="View documentation for matplotlib.colors"><span class="n">colors</span></a><span class="p">,</span> <span class="n">transforms</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="n">nverts</span> <span class="o">=</span> <span class="mi">50</span>
<span class="n">npts</span> <span class="o">=</span> <span class="mi">100</span>
<span class="c1"># Make some spirals</span>
<span class="n">r</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.arange.html#numpy.arange" title="View documentation for numpy.arange"><span class="n">np</span><span class="o">.</span><span class="n">arange</span></a><span class="p">(</span><span class="n">nverts</span><span class="p">)</span>
<span class="n">theta</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.linspace.html#numpy.linspace" title="View documentation for numpy.linspace"><span class="n">np</span><span class="o">.</span><span class="n">linspace</span></a><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="n">nverts</span><span class="p">)</span>
<span class="n">xx</span> <span class="o">=</span> <span class="n">r</span> <span class="o">*</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.sin.html#numpy.sin" title="View documentation for numpy.sin"><span class="n">np</span><span class="o">.</span><span class="n">sin</span></a><span class="p">(</span><span class="n">theta</span><span class="p">)</span>
<span class="n">yy</span> <span class="o">=</span> <span class="n">r</span> <span class="o">*</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.cos.html#numpy.cos" title="View documentation for numpy.cos"><span class="n">np</span><span class="o">.</span><span class="n">cos</span></a><span class="p">(</span><span class="n">theta</span><span class="p">)</span>
<span class="n">spiral</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</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="c1"># Make some offsets</span>
<span class="c1"># Fixing random state for reproducibility</span>
<span class="n">rs</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.RandomState.html#numpy.random.RandomState" title="View documentation for numpy.random.RandomState"><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">RandomState</span></a><span class="p">(</span><span class="mi">19680801</span><span class="p">)</span>
<span class="n">xo</span> <span class="o">=</span> <span class="n">rs</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="n">npts</span><span class="p">)</span>
<span class="n">yo</span> <span class="o">=</span> <span class="n">rs</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="n">npts</span><span class="p">)</span>
<span class="n">xyo</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">xo</span><span class="p">,</span> <span class="n">yo</span><span class="p">))</span>
<span class="c1"># Make a list of colors cycling through the default series.</span>
<a href="../../api/colors_api.html#module-matplotlib.colors" title="View documentation for matplotlib.colors"><span class="n">colors</span></a> <span class="o">=</span> <span class="p">[</span><a href="../../api/_as_gen/matplotlib.colors.to_rgba.html#matplotlib.colors.to_rgba" title="View documentation for matplotlib.colors.to_rgba"><span class="n">colors</span><span class="o">.</span><span class="n">to_rgba</span></a><span class="p">(</span><span class="n">c</span><span class="p">)</span>
<span class="k">for</span> <span class="n">c</span> <span class="ow">in</span> <a href="../../api/matplotlib_configuration_api.html#matplotlib.rcParams" title="View documentation for matplotlib.pyplot.rcParams"><span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span></a><span class="p">[</span><span class="s1">'axes.prop_cycle'</span><span class="p">]</span><span class="o">.</span><span class="n">by_key</span><span class="p">()[</span><span class="s1">'color'</span><span class="p">]]</span>
<span class="n">fig</span><span class="p">,</span> <span class="n">axes</span> <span class="o">=</span> <a href="../../api/_as_gen/matplotlib.pyplot.subplots.html#matplotlib.pyplot.subplots" title="View documentation for matplotlib.pyplot.subplots"><span class="n">plt</span><span class="o">.</span><span class="n">subplots</span></a><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">fig</span><span class="o">.</span><span class="n">subplots_adjust</span><span class="p">(</span><span class="n">top</span><span class="o">=</span><span class="mf">0.92</span><span class="p">,</span> <span class="n">left</span><span class="o">=</span><span class="mf">0.07</span><span class="p">,</span> <span class="n">right</span><span class="o">=</span><span class="mf">0.97</span><span class="p">,</span>
<span class="n">hspace</span><span class="o">=</span><span class="mf">0.3</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="p">((</span><span class="n">ax1</span><span class="p">,</span> <span class="n">ax2</span><span class="p">),</span> <span class="p">(</span><span class="n">ax3</span><span class="p">,</span> <span class="n">ax4</span><span class="p">))</span> <span class="o">=</span> <span class="n">axes</span> <span class="c1"># unpack the axes</span>
<span class="n">col</span> <span class="o">=</span> <a href="../../api/collections_api.html#matplotlib.collections.LineCollection" title="View documentation for matplotlib.collections.LineCollection"><span class="n">collections</span><span class="o">.</span><span class="n">LineCollection</span></a><span class="p">([</span><span class="n">spiral</span><span class="p">],</span> <span class="n">offsets</span><span class="o">=</span><span class="n">xyo</span><span class="p">,</span>
<span class="n">transOffset</span><span class="o">=</span><span class="n">ax1</span><span class="o">.</span><span class="n">transData</span><span class="p">)</span>
<span class="n">trans</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">dpi_scale_trans</span> <span class="o">+</span> <a href="../../api/transformations.html#matplotlib.transforms.Affine2D" title="View documentation for matplotlib.transforms.Affine2D"><span class="n">transforms</span><span class="o">.</span><span class="n">Affine2D</span></a><span class="p">()</span><span class="o">.</span><span class="n">scale</span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="mf">72.0</span><span class="p">)</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_transform</span><span class="p">(</span><span class="n">trans</span><span class="p">)</span> <span class="c1"># the points to pixels transform</span>
<span class="c1"># Note: the first argument to the collection initializer</span>
<span class="c1"># must be a list of sequences of x,y tuples; we have only</span>
<span class="c1"># one sequence, but we still have to put it in a list.</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">add_collection</span><span class="p">(</span><span class="n">col</span><span class="p">,</span> <span class="n">autolim</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="c1"># autolim=True enables autoscaling. For collections with</span>
<span class="c1"># offsets like this, it is neither efficient nor accurate,</span>
<span class="c1"># but it is good enough to generate a plot that you can use</span>
<span class="c1"># as a starting point. If you know beforehand the range of</span>
<span class="c1"># x and y that you want to show, it is better to set them</span>
<span class="c1"># explicitly, leave out the autolim kwarg (or set it to False),</span>
<span class="c1"># and omit the 'ax1.autoscale_view()' call below.</span>
<span class="c1"># Make a transform for the line segments such that their size is</span>
<span class="c1"># given in points:</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_color</span><span class="p">(</span><a href="../../api/colors_api.html#module-matplotlib.colors" title="View documentation for matplotlib.colors"><span class="n">colors</span></a><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">autoscale_view</span><span class="p">()</span> <span class="c1"># See comment above, after ax1.add_collection.</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">'LineCollection using offsets'</span><span class="p">)</span>
<span class="c1"># The same data as above, but fill the curves.</span>
<span class="n">col</span> <span class="o">=</span> <a href="../../api/collections_api.html#matplotlib.collections.PolyCollection" title="View documentation for matplotlib.collections.PolyCollection"><span class="n">collections</span><span class="o">.</span><span class="n">PolyCollection</span></a><span class="p">([</span><span class="n">spiral</span><span class="p">],</span> <span class="n">offsets</span><span class="o">=</span><span class="n">xyo</span><span class="p">,</span>
<span class="n">transOffset</span><span class="o">=</span><span class="n">ax2</span><span class="o">.</span><span class="n">transData</span><span class="p">)</span>
<span class="n">trans</span> <span class="o">=</span> <a href="../../api/transformations.html#matplotlib.transforms.Affine2D" title="View documentation for matplotlib.transforms.Affine2D"><span class="n">transforms</span><span class="o">.</span><span class="n">Affine2D</span></a><span class="p">()</span><span class="o">.</span><span class="n">scale</span><span class="p">(</span><span class="n">fig</span><span class="o">.</span><span class="n">dpi</span><span class="o">/</span><span class="mf">72.0</span><span class="p">)</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_transform</span><span class="p">(</span><span class="n">trans</span><span class="p">)</span> <span class="c1"># the points to pixels transform</span>
<span class="n">ax2</span><span class="o">.</span><span class="n">add_collection</span><span class="p">(</span><span class="n">col</span><span class="p">,</span> <span class="n">autolim</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_color</span><span class="p">(</span><a href="../../api/colors_api.html#module-matplotlib.colors" title="View documentation for matplotlib.colors"><span class="n">colors</span></a><span class="p">)</span>
<span class="n">ax2</span><span class="o">.</span><span class="n">autoscale_view</span><span class="p">()</span>
<span class="n">ax2</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">'PolyCollection using offsets'</span><span class="p">)</span>
<span class="c1"># 7-sided regular polygons</span>
<span class="n">col</span> <span class="o">=</span> <a href="../../api/collections_api.html#matplotlib.collections.RegularPolyCollection" title="View documentation for matplotlib.collections.RegularPolyCollection"><span class="n">collections</span><span class="o">.</span><span class="n">RegularPolyCollection</span></a><span class="p">(</span>
<span class="mi">7</span><span class="p">,</span> <span class="n">sizes</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">xx</span><span class="p">)</span> <span class="o">*</span> <span class="mf">10.0</span><span class="p">,</span> <span class="n">offsets</span><span class="o">=</span><span class="n">xyo</span><span class="p">,</span> <span class="n">transOffset</span><span class="o">=</span><span class="n">ax3</span><span class="o">.</span><span class="n">transData</span><span class="p">)</span>
<span class="n">trans</span> <span class="o">=</span> <a href="../../api/transformations.html#matplotlib.transforms.Affine2D" title="View documentation for matplotlib.transforms.Affine2D"><span class="n">transforms</span><span class="o">.</span><span class="n">Affine2D</span></a><span class="p">()</span><span class="o">.</span><span class="n">scale</span><span class="p">(</span><span class="n">fig</span><span class="o">.</span><span class="n">dpi</span> <span class="o">/</span> <span class="mf">72.0</span><span class="p">)</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_transform</span><span class="p">(</span><span class="n">trans</span><span class="p">)</span> <span class="c1"># the points to pixels transform</span>
<span class="n">ax3</span><span class="o">.</span><span class="n">add_collection</span><span class="p">(</span><span class="n">col</span><span class="p">,</span> <span class="n">autolim</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_color</span><span class="p">(</span><a href="../../api/colors_api.html#module-matplotlib.colors" title="View documentation for matplotlib.colors"><span class="n">colors</span></a><span class="p">)</span>
<span class="n">ax3</span><span class="o">.</span><span class="n">autoscale_view</span><span class="p">()</span>
<span class="n">ax3</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">'RegularPolyCollection using offsets'</span><span class="p">)</span>
<span class="c1"># Simulate a series of ocean current profiles, successively</span>
<span class="c1"># offset by 0.1 m/s so that they form what is sometimes called</span>
<span class="c1"># a "waterfall" plot or a "stagger" plot.</span>
<span class="n">nverts</span> <span class="o">=</span> <span class="mi">60</span>
<span class="n">ncurves</span> <span class="o">=</span> <span class="mi">20</span>
<span class="n">offs</span> <span class="o">=</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="n">yy</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.linspace.html#numpy.linspace" title="View documentation for numpy.linspace"><span class="n">np</span><span class="o">.</span><span class="n">linspace</span></a><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="n">nverts</span><span class="p">)</span>
<span class="n">ym</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">yy</span><span class="p">)</span>
<span class="n">xx</span> <span class="o">=</span> <span class="p">(</span><span class="mf">0.2</span> <span class="o">+</span> <span class="p">(</span><span class="n">ym</span> <span class="o">-</span> <span class="n">yy</span><span class="p">)</span><span class="o">/</span><span class="n">ym</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="o">*</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.cos.html#numpy.cos" title="View documentation for numpy.cos"><span class="n">np</span><span class="o">.</span><span class="n">cos</span></a><span class="p">(</span><span class="n">yy</span> <span class="o">-</span> <span class="mf">0.4</span><span class="p">)</span><span class="o">*</span><span class="mf">0.5</span>
<span class="n">segs</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">ncurves</span><span class="p">):</span>
<span class="n">xxx</span> <span class="o">=</span> <span class="n">xx</span> <span class="o">+</span> <span class="mf">0.02</span><span class="o">*</span><span class="n">rs</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="n">nverts</span><span class="p">)</span>
<span class="n">curve</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">xxx</span><span class="p">,</span> <span class="n">yy</span><span class="o">*</span><span class="mi">100</span><span class="p">))</span>
<span class="n">segs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">curve</span><span class="p">)</span>
<span class="n">col</span> <span class="o">=</span> <a href="../../api/collections_api.html#matplotlib.collections.LineCollection" title="View documentation for matplotlib.collections.LineCollection"><span class="n">collections</span><span class="o">.</span><span class="n">LineCollection</span></a><span class="p">(</span><span class="n">segs</span><span class="p">,</span> <span class="n">offsets</span><span class="o">=</span><span class="n">offs</span><span class="p">)</span>
<span class="n">ax4</span><span class="o">.</span><span class="n">add_collection</span><span class="p">(</span><span class="n">col</span><span class="p">,</span> <span class="n">autolim</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="n">col</span><span class="o">.</span><span class="n">set_color</span><span class="p">(</span><a href="../../api/colors_api.html#module-matplotlib.colors" title="View documentation for matplotlib.colors"><span class="n">colors</span></a><span class="p">)</span>
<span class="n">ax4</span><span class="o">.</span><span class="n">autoscale_view</span><span class="p">()</span>
<span class="n">ax4</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">'Successive data offsets'</span><span class="p">)</span>
<span class="n">ax4</span><span class="o">.</span><span class="n">set_xlabel</span><span class="p">(</span><span class="s1">'Zonal velocity component (m/s)'</span><span class="p">)</span>
<span class="n">ax4</span><span class="o">.</span><span class="n">set_ylabel</span><span class="p">(</span><span class="s1">'Depth (m)'</span><span class="p">)</span>
<span class="c1"># Reverse the y-axis so depth increases downward</span>
<span class="n">ax4</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="n">ax4</span><span class="o">.</span><span class="n">get_ylim</span><span class="p">()[::</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span>
<a href="../../api/_as_gen/matplotlib.pyplot.show.html#matplotlib.pyplot.show" title="View documentation for matplotlib.pyplot.show"><span class="n">plt</span><span class="o">.</span><span class="n">show</span></a><span class="p">()</span>
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