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<li><a class="reference internal" href="#">sankey</a><ul>

<li><a class="reference internal" href="#module-matplotlib.sankey"><code class="docutils literal notranslate"><span class="pre">matplotlib.sankey</span></code></a></li>

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<h1>sankey<a class="headerlink" href="#sankey" title="Permalink to this headline">¶</a></h1>

<span id="matplotlib-sankey"></span><h2><a class="reference internal" href="#module-matplotlib.sankey" title="matplotlib.sankey"><code class="xref py py-mod docutils literal notranslate"><span class="pre">matplotlib.sankey</span></code></a><a class="headerlink" href="#module-matplotlib.sankey" title="Permalink to this headline">¶</a></h2>

<p>Module for creating Sankey diagrams using matplotlib</p>

<em class="property">class </em><code class="descclassname">matplotlib.sankey.</code><code class="descname">Sankey</code><span class="sig-paren">(</span><em>ax=None</em>, <em>scale=1.0</em>, <em>unit=''</em>, <em>format='%G'</em>, <em>gap=0.25</em>, <em>radius=0.1</em>, <em>shoulder=0.03</em>, <em>offset=0.15</em>, <em>head_angle=100</em>, <em>margin=0.4</em>, <em>tolerance=1e-06</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/matplotlib/sankey.html#Sankey"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#matplotlib.sankey.Sankey" title="Permalink to this definition">¶</a></dt>

<dd><p>Bases: <a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.8)"><code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></a></p>

<p>Sankey diagram in matplotlib</p>

<div>Sankey diagrams are a specific type of flow diagram, in which

the width of the arrows is shown proportionally to the flow

quantity. They are typically used to visualize energy or

material or cost transfers between processes.

<a class="reference external" href="https://en.wikipedia.org/wiki/Sankey_diagram">Wikipedia (6/1/2011)</a></div></blockquote>

<p>Create a new Sankey instance.</p>

<p>Optional keyword arguments:</p>

</colgroup>

<tr class="row-odd"><th class="head">Field</th>

<th class="head">Description</th>

</tr>

</thead>

<td>axes onto which the data should be plotted

If <em>ax</em> isn't provided, new axes will be created.</td>

</tr>

<tr class="row-odd"><td><em>scale</em></td>

<td>scaling factor for the flows

<em>scale</em> sizes the width of the paths in order to

maintain proper layout. The same scale is applied

to all subdiagrams. The value should be chosen

such that the product of the scale and the sum of

the inputs is approximately 1.0 (and the product of

the scale and the sum of the outputs is

approximately -1.0).</td>

</tr>

<td>string representing the physical unit associated

with the flow quantities

If <em>unit</em> is None, then none of the quantities are

labeled.</td>

</tr>

<tr class="row-odd"><td><em>format</em></td>

<td>a Python number formatting string to be used in

labeling the flow as a quantity (i.e., a number

times a unit, where the unit is given)</td>

</tr>

<td>space between paths that break in/break away

to/from the top or bottom</td>

</tr>

<tr class="row-odd"><td><em>radius</em></td>

<td>inner radius of the vertical paths</td>

</tr>

<tr class="row-even"><td><em>shoulder</em></td>

<td>size of the shoulders of output arrowS</td>

</tr>

<tr class="row-odd"><td><em>offset</em></td>

<td>text offset (from the dip or tip of the arrow)</td>

</tr>

<tr class="row-even"><td><em>head_angle</em></td>

<td>angle of the arrow heads (and negative of the angle

of the tails) [deg]</td>

</tr>

<tr class="row-odd"><td><em>margin</em></td>

<td>minimum space between Sankey outlines and the edge

of the plot area</td>

</tr>

<tr class="row-even"><td><em>tolerance</em></td>

<td>acceptable maximum of the magnitude of the sum of

flows

The magnitude of the sum of connected flows cannot

be greater than <em>tolerance</em>.</td>

</tr>

</tbody>

</table>

</div></blockquote>

<p>The optional arguments listed above are applied to all subdiagrams so

that there is consistent alignment and formatting.</p>

<p>If <a class="reference internal" href="#matplotlib.sankey.Sankey" title="matplotlib.sankey.Sankey"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sankey</span></code></a> is instantiated with any keyword arguments other

than those explicitly listed above (<code class="docutils literal notranslate"><span class="pre">**kwargs</span></code>), they will be passed

to <a class="reference internal" href="#matplotlib.sankey.Sankey.add" title="matplotlib.sankey.Sankey.add"><code class="xref py py-meth docutils literal notranslate"><span class="pre">add()</span></code></a>, which will create the first subdiagram.</p>

<p>In order to draw a complex Sankey diagram, create an instance of

<a class="reference internal" href="#matplotlib.sankey.Sankey" title="matplotlib.sankey.Sankey"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sankey</span></code></a> by calling it without any kwargs:</p>

<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">sankey</span> <span class="o">=</span> <span class="n">Sankey</span><span class="p">()</span>

</pre></div>

</div>

<p>Then add simple Sankey sub-diagrams:</p>

<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">sankey</span><span class="o">.</span><span class="n">add</span><span class="p">()</span> <span class="c1"># 1</span>

<span class="n">sankey</span><span class="o">.</span><span class="n">add</span><span class="p">()</span> <span class="c1"># 2</span>

<span class="n">sankey</span><span class="o">.</span><span class="n">add</span><span class="p">()</span> <span class="c1"># n</span>

</pre></div>

</div>

<p>Finally, create the full diagram:</p>

<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">sankey</span><span class="o">.</span><span class="n">finish</span><span class="p">()</span>

</pre></div>

</div>

<p>Or, instead, simply daisy-chain those calls:</p>

<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Sankey</span><span class="p">()</span><span class="o">.</span><span class="n">add</span><span class="p">()</span><span class="o">.</span><span class="n">add</span><span class="o">...</span> <span class="o">.</span><span class="n">add</span><span class="p">()</span><span class="o">.</span><span class="n">finish</span><span class="p">()</span>

</pre></div>

</div>

<a class="reference internal" href="#matplotlib.sankey.Sankey.finish" title="matplotlib.sankey.Sankey.finish"><code class="xref py py-meth docutils literal notranslate"><span class="pre">finish()</span></code></a></p>

</div>

<p><strong>Examples:</strong></p>

<div><p>(<a class="reference external" href="../gallery/api/sankey_basics.py">Source code</a>)</p>

</div>

</div>

</div>

</div></blockquote>

<code class="descname">add</code><span class="sig-paren">(</span><em>patchlabel=''</em>, <em>flows=None</em>, <em>orientations=None</em>, <em>labels=''</em>, <em>trunklength=1.0</em>, <em>pathlengths=0.25</em>, <em>prior=None</em>, <em>connect=(0</em>, <em>0)</em>, <em>rotation=0</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/matplotlib/sankey.html#Sankey.add"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#matplotlib.sankey.Sankey.add" title="Permalink to this definition">¶</a></dt>

<dd><p>Add a simple Sankey diagram with flows at the same hierarchical level.</p>

<p>Return value is the instance of <a class="reference internal" href="#matplotlib.sankey.Sankey" title="matplotlib.sankey.Sankey"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sankey</span></code></a>.</p>

<p>Optional keyword arguments:</p>

</colgroup>

<tr class="row-odd"><th class="head">Keyword</th>

<th class="head">Description</th>

</tr>

</thead>

<tr class="row-even"><td><em>patchlabel</em></td>

<td>label to be placed at the center of the diagram

Note: <em>label</em> (not <em>patchlabel</em>) will be passed to

the patch through <code class="docutils literal notranslate"><span class="pre">**kwargs</span></code> and can be used to

create an entry in the legend.</td>

</tr>

<tr class="row-odd"><td><em>flows</em></td>

<td>array of flow values

By convention, inputs are positive and outputs are

negative.</td>

</tr>

<tr class="row-even"><td><em>orientations</em></td>

<td>list of orientations of the paths

Valid values are 1 (from/to the top), 0 (from/to

the left or right), or -1 (from/to the bottom). If

<em>orientations</em> == 0, inputs will break in from the

left and outputs will break away to the right.</td>

</tr>

<tr class="row-odd"><td><em>labels</em></td>

<td>list of specifications of the labels for the flows

Each value may be <em>None</em> (no labels), '' (just

label the quantities), or a labeling string. If a

single value is provided, it will be applied to all

flows. If an entry is a non-empty string, then the

quantity for the corresponding flow will be shown

below the string. However, if the <em>unit</em> of the

main diagram is None, then quantities are never

shown, regardless of the value of this argument.</td>

</tr>

<tr class="row-even"><td><em>trunklength</em></td>

<td>length between the bases of the input and output

groups</td>

</tr>

<tr class="row-odd"><td><em>pathlengths</em></td>

<td>list of lengths of the arrows before break-in or

after break-away

If a single value is given, then it will be applied

to the first (inside) paths on the top and bottom,

and the length of all other arrows will be

justified accordingly. The <em>pathlengths</em> are not

applied to the horizontal inputs and outputs.</td>

</tr>

<tr class="row-even"><td><em>prior</em></td>

<td>index of the prior diagram to which this diagram

should be connected</td>

</tr>

<tr class="row-odd"><td><em>connect</em></td>

<td>a (prior, this) tuple indexing the flow of the

prior diagram and the flow of this diagram which

should be connected

If this is the first diagram or <em>prior</em> is <em>None</em>,

<em>connect</em> will be ignored.</td>

</tr>

<tr class="row-even"><td><em>rotation</em></td>

<td>angle of rotation of the diagram [deg]

<em>rotation</em> is ignored if this diagram is connected

to an existing one (using <em>prior</em> and <em>connect</em>).

The interpretation of the <em>orientations</em> argument

will be rotated accordingly (e.g., if <em>rotation</em>

== 90, an <em>orientations</em> entry of 1 means to/from

the left).</td>

</tr>

</tbody>

</table>

</div></blockquote>

<p>Valid kwargs are <a class="reference internal" href="_as_gen/matplotlib.patches.PathPatch.html#matplotlib.patches.PathPatch" title="matplotlib.patches.PathPatch"><code class="xref py py-meth docutils literal notranslate"><span class="pre">matplotlib.patches.PathPatch()</span></code></a> arguments:</p>

</colgroup>

<tr class="row-odd"><th class="head">Property</th>

<th class="head">Description</th>

</tr>

</thead>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_agg_filter.html#matplotlib.artist.Artist.set_agg_filter" title="matplotlib.artist.Artist.set_agg_filter"><code class="xref py py-meth docutils literal notranslate"><span class="pre">agg_filter</span></code></a></td>

<td>a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_alpha" title="matplotlib.patches.Patch.set_alpha"><code class="xref py py-meth docutils literal notranslate"><span class="pre">alpha</span></code></a></td>

<td>float or None</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_animated.html#matplotlib.artist.Artist.set_animated" title="matplotlib.artist.Artist.set_animated"><code class="xref py py-meth docutils literal notranslate"><span class="pre">animated</span></code></a></td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_antialiased" title="matplotlib.patches.Patch.set_antialiased"><code class="xref py py-meth docutils literal notranslate"><span class="pre">antialiased</span></code></a> or aa</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_capstyle" title="matplotlib.patches.Patch.set_capstyle"><code class="xref py py-meth docutils literal notranslate"><span class="pre">capstyle</span></code></a></td>

<td>['butt' | 'round' | 'projecting']</td>

</tr>

<td>a <a class="reference internal" href="transformations.html#matplotlib.transforms.Bbox" title="matplotlib.transforms.Bbox"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Bbox</span></code></a> instance</td>

</tr>

</tr>

<td>[(<a class="reference internal" href="path_api.html#matplotlib.path.Path" title="matplotlib.path.Path"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Path</span></code></a>, <a class="reference internal" href="transformations.html#matplotlib.transforms.Transform" title="matplotlib.transforms.Transform"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Transform</span></code></a>) | <a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch" title="matplotlib.patches.Patch"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Patch</span></code></a> | None]</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_color" title="matplotlib.patches.Patch.set_color"><code class="xref py py-meth docutils literal notranslate"><span class="pre">color</span></code></a></td>

<td>matplotlib color spec</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_contains.html#matplotlib.artist.Artist.set_contains" title="matplotlib.artist.Artist.set_contains"><code class="xref py py-meth docutils literal notranslate"><span class="pre">contains</span></code></a></td>

<td>a callable function</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_edgecolor" title="matplotlib.patches.Patch.set_edgecolor"><code class="xref py py-meth docutils literal notranslate"><span class="pre">edgecolor</span></code></a> or ec</td>

<td>mpl color spec, None, 'none', or 'auto'</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_facecolor" title="matplotlib.patches.Patch.set_facecolor"><code class="xref py py-meth docutils literal notranslate"><span class="pre">facecolor</span></code></a> or fc</td>

<td>mpl color spec, or None for default, or 'none' for no color</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_figure.html#matplotlib.artist.Artist.set_figure" title="matplotlib.artist.Artist.set_figure"><code class="xref py py-meth docutils literal notranslate"><span class="pre">figure</span></code></a></td>

<td>a <a class="reference internal" href="_as_gen/matplotlib.figure.Figure.html#matplotlib.figure.Figure" title="matplotlib.figure.Figure"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Figure</span></code></a> instance</td>

</tr>

</tr>

<td>an id string</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_hatch" title="matplotlib.patches.Patch.set_hatch"><code class="xref py py-meth docutils literal notranslate"><span class="pre">hatch</span></code></a></td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_joinstyle" title="matplotlib.patches.Patch.set_joinstyle"><code class="xref py py-meth docutils literal notranslate"><span class="pre">joinstyle</span></code></a></td>

<td>['miter' | 'round' | 'bevel']</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_label.html#matplotlib.artist.Artist.set_label" title="matplotlib.artist.Artist.set_label"><code class="xref py py-meth docutils literal notranslate"><span class="pre">label</span></code></a></td>

<td>object</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_linestyle" title="matplotlib.patches.Patch.set_linestyle"><code class="xref py py-meth docutils literal notranslate"><span class="pre">linestyle</span></code></a> or ls</td>

<td>['solid' | 'dashed', 'dashdot', 'dotted' | (offset, on-off-dash-seq) | <code class="docutils literal notranslate"><span class="pre">'-'</span></code> | <code class="docutils literal notranslate"><span class="pre">'--'</span></code> | <code class="docutils literal notranslate"><span class="pre">'-.'</span></code> | <code class="docutils literal notranslate"><span class="pre">':'</span></code> | <code class="docutils literal notranslate"><span class="pre">'None'</span></code> | <code class="docutils literal notranslate"><span class="pre">'</span> <span class="pre">'</span></code> | <code class="docutils literal notranslate"><span class="pre">''</span></code>]</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.patches.Patch.html#matplotlib.patches.Patch.set_linewidth" title="matplotlib.patches.Patch.set_linewidth"><code class="xref py py-meth docutils literal notranslate"><span class="pre">linewidth</span></code></a> or lw</td>

<td>float or None for default</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_path_effects.html#matplotlib.artist.Artist.set_path_effects" title="matplotlib.artist.Artist.set_path_effects"><code class="xref py py-meth docutils literal notranslate"><span class="pre">path_effects</span></code></a></td>

<td><a class="reference internal" href="patheffects_api.html#matplotlib.patheffects.AbstractPathEffect" title="matplotlib.patheffects.AbstractPathEffect"><code class="xref py py-obj docutils literal notranslate"><span class="pre">AbstractPathEffect</span></code></a></td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_picker.html#matplotlib.artist.Artist.set_picker" title="matplotlib.artist.Artist.set_picker"><code class="xref py py-meth docutils literal notranslate"><span class="pre">picker</span></code></a></td>

<td>[None | bool | float | callable]</td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_rasterized.html#matplotlib.artist.Artist.set_rasterized" title="matplotlib.artist.Artist.set_rasterized"><code class="xref py py-meth docutils literal notranslate"><span class="pre">rasterized</span></code></a></td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_sketch_params.html#matplotlib.artist.Artist.set_sketch_params" title="matplotlib.artist.Artist.set_sketch_params"><code class="xref py py-meth docutils literal notranslate"><span class="pre">sketch_params</span></code></a></td>

<td>(scale: float, length: float, randomness: float)</td>

</tr>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_transform.html#matplotlib.artist.Artist.set_transform" title="matplotlib.artist.Artist.set_transform"><code class="xref py py-meth docutils literal notranslate"><span class="pre">transform</span></code></a></td>

<td><a class="reference internal" href="transformations.html#matplotlib.transforms.Transform" title="matplotlib.transforms.Transform"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Transform</span></code></a></td>

</tr>

<td>a url string</td>

</tr>

<tr class="row-odd"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_visible.html#matplotlib.artist.Artist.set_visible" title="matplotlib.artist.Artist.set_visible"><code class="xref py py-meth docutils literal notranslate"><span class="pre">visible</span></code></a></td>

</tr>

<tr class="row-even"><td><a class="reference internal" href="_as_gen/matplotlib.artist.Artist.set_zorder.html#matplotlib.artist.Artist.set_zorder" title="matplotlib.artist.Artist.set_zorder"><code class="xref py py-meth docutils literal notranslate"><span class="pre">zorder</span></code></a></td>

<td>float</td>

</tr>

</tbody>

</table>

</div></blockquote>

<p>As examples, <code class="docutils literal notranslate"><span class="pre">fill=False</span></code> and <code class="docutils literal notranslate"><span class="pre">label='A</span> <span class="pre">legend</span> <span class="pre">entry'</span></code>.

By default, <code class="docutils literal notranslate"><span class="pre">facecolor='#bfd1d4'</span></code> (light blue) and

<code class="docutils literal notranslate"><span class="pre">linewidth=0.5</span></code>.</p>

<p>The indexing parameters (<em>prior</em> and <em>connect</em>) are zero-based.</p>

<p>The flows are placed along the top of the diagram from the inside out

in order of their index within the <em>flows</em> list or array. They are

placed along the sides of the diagram from the top down and along the

bottom from the outside in.</p>

<p>If the sum of the inputs and outputs is nonzero, the discrepancy

will appear as a cubic Bezier curve along the top and bottom edges of

the trunk.</p>

<p class="last"><a class="reference internal" href="#matplotlib.sankey.Sankey.finish" title="matplotlib.sankey.Sankey.finish"><code class="xref py py-meth docutils literal notranslate"><span class="pre">finish()</span></code></a></p>

</div>

</dd></dl>

<code class="descname">finish</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="../_modules/matplotlib/sankey.html#Sankey.finish"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#matplotlib.sankey.Sankey.finish" title="Permalink to this definition">¶</a></dt>

<dd><p>Adjust the axes and return a list of information about the Sankey

subdiagram(s).</p>

<p>Return value is a list of subdiagrams represented with the following

fields:</p>

</colgroup>

<tr class="row-odd"><th class="head">Field</th>

<th class="head">Description</th>

</tr>

</thead>

<tr class="row-even"><td><em>patch</em></td>

<td>Sankey outline (an instance of

<code class="xref py py-class docutils literal notranslate"><span class="pre">PathPatch</span></code>)</td>

</tr>

<tr class="row-odd"><td><em>flows</em></td>

<td>values of the flows (positive for input, negative

for output)</td>

</tr>

<tr class="row-even"><td><em>angles</em></td>

<td>list of angles of the arrows [deg/90]

For example, if the diagram has not been rotated,

an input to the top side will have an angle of 3

(DOWN), and an output from the top side will have

an angle of 1 (UP). If a flow has been skipped

(because its magnitude is less than <em>tolerance</em>),

then its angle will be <em>None</em>.</td>

</tr>

<td>array in which each row is an [x, y] pair

indicating the positions of the tips (or "dips") of

the flow paths

If the magnitude of a flow is less the <em>tolerance</em>

for the instance of <a class="reference internal" href="#matplotlib.sankey.Sankey" title="matplotlib.sankey.Sankey"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sankey</span></code></a>, the flow is

skipped and its tip will be at the center of the

diagram.</td>

</tr>

<td><a class="reference internal" href="text_api.html#matplotlib.text.Text" title="matplotlib.text.Text"><code class="xref py py-class docutils literal notranslate"><span class="pre">Text</span></code></a> instance for the

label of the diagram</td>

</tr>

<tr class="row-odd"><td><em>texts</em></td>

<td>list of <a class="reference internal" href="text_api.html#matplotlib.text.Text" title="matplotlib.text.Text"><code class="xref py py-class docutils literal notranslate"><span class="pre">Text</span></code></a> instances

for the labels of flows</td>

</tr>

</tbody>

</table>

</div></blockquote>

</div>

</dd></dl>

</div>

</div>

<br />

Last updated on Feb 09, 2020.

Created using

<ahref="http://sphinx-doc.org/">Sphinx</a> 1.8.5.

Doc version v2.2.5-2-ga847ffac5.

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