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<h1>Source code for matplotlib.sankey</h1><div class="highlight"><pre>
<span></span><span class="sd">"""</span>
<span class="sd">Module for creating Sankey diagrams using Matplotlib.</span>
<span class="sd">"""</span>
<span class="kn">import</span> <span class="nn">logging</span>
<span class="kn">from</span> <span class="nn">types</span> <span class="kn">import</span> <span class="n">SimpleNamespace</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">matplotlib.path</span> <span class="kn">import</span> <span class="n">Path</span>
<span class="kn">from</span> <span class="nn">matplotlib.patches</span> <span class="kn">import</span> <span class="n">PathPatch</span>
<span class="kn">from</span> <span class="nn">matplotlib.transforms</span> <span class="kn">import</span> <span class="n">Affine2D</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="kn">import</span> <span class="n">docstring</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="kn">import</span> <span class="n">rcParams</span>
<span class="n">_log</span> <span class="o">=</span> <span class="n">logging</span><span class="o">.</span><span class="n">getLogger</span><span class="p">(</span><span class="vm">__name__</span><span class="p">)</span>
<span class="n">__author__</span> <span class="o">=</span> <span class="s2">"Kevin L. Davies"</span>
<span class="n">__credits__</span> <span class="o">=</span> <span class="p">[</span><span class="s2">"Yannick Copin"</span><span class="p">]</span>
<span class="n">__license__</span> <span class="o">=</span> <span class="s2">"BSD"</span>
<span class="n">__version__</span> <span class="o">=</span> <span class="s2">"2011/09/16"</span>
<span class="c1"># Angles [deg/90]</span>
<span class="n">RIGHT</span> <span class="o">=</span> <span class="mi">0</span>
<span class="n">UP</span> <span class="o">=</span> <span class="mi">1</span>
<span class="c1"># LEFT = 2</span>
<span class="n">DOWN</span> <span class="o">=</span> <span class="mi">3</span>
<div class="viewcode-block" id="Sankey"><a class="viewcode-back" href="../../api/sankey_api.html#matplotlib.sankey.Sankey">[docs]</a><span class="k">class</span> <span class="nc">Sankey</span><span class="p">:</span>
<span class="sd">"""</span>
<span class="sd"> Sankey diagram.</span>
<span class="sd"> Sankey diagrams are a specific type of flow diagram, in which</span>
<span class="sd"> the width of the arrows is shown proportionally to the flow</span>
<span class="sd"> quantity. They are typically used to visualize energy or</span>
<span class="sd"> material or cost transfers between processes.</span>
<span class="sd"> `Wikipedia (6/1/2011) <https://en.wikipedia.org/wiki/Sankey_diagram>`_</span>
<span class="sd"> """</span>
<span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">ax</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">scale</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="s1">''</span><span class="p">,</span> <span class="nb">format</span><span class="o">=</span><span class="s1">'</span><span class="si">%G</span><span class="s1">'</span><span class="p">,</span> <span class="n">gap</span><span class="o">=</span><span class="mf">0.25</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span> <span class="n">shoulder</span><span class="o">=</span><span class="mf">0.03</span><span class="p">,</span> <span class="n">offset</span><span class="o">=</span><span class="mf">0.15</span><span class="p">,</span> <span class="n">head_angle</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span>
<span class="n">margin</span><span class="o">=</span><span class="mf">0.4</span><span class="p">,</span> <span class="n">tolerance</span><span class="o">=</span><span class="mf">1e-6</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Create a new Sankey instance.</span>
<span class="sd"> Optional keyword arguments:</span>
<span class="sd"> =============== ===================================================</span>
<span class="sd"> Field Description</span>
<span class="sd"> =============== ===================================================</span>
<span class="sd"> *ax* axes onto which the data should be plotted</span>
<span class="sd"> If *ax* isn't provided, new axes will be created.</span>
<span class="sd"> *scale* scaling factor for the flows</span>
<span class="sd"> *scale* sizes the width of the paths in order to</span>
<span class="sd"> maintain proper layout. The same scale is applied</span>
<span class="sd"> to all subdiagrams. The value should be chosen</span>
<span class="sd"> such that the product of the scale and the sum of</span>
<span class="sd"> the inputs is approximately 1.0 (and the product of</span>
<span class="sd"> the scale and the sum of the outputs is</span>
<span class="sd"> approximately -1.0).</span>
<span class="sd"> *unit* string representing the physical unit associated</span>
<span class="sd"> with the flow quantities</span>
<span class="sd"> If *unit* is None, then none of the quantities are</span>
<span class="sd"> labeled.</span>
<span class="sd"> *format* a Python number formatting string to be used in</span>
<span class="sd"> labeling the flow as a quantity (i.e., a number</span>
<span class="sd"> times a unit, where the unit is given)</span>
<span class="sd"> *gap* space between paths that break in/break away</span>
<span class="sd"> to/from the top or bottom</span>
<span class="sd"> *radius* inner radius of the vertical paths</span>
<span class="sd"> *shoulder* size of the shoulders of output arrowS</span>
<span class="sd"> *offset* text offset (from the dip or tip of the arrow)</span>
<span class="sd"> *head_angle* angle of the arrow heads (and negative of the angle</span>
<span class="sd"> of the tails) [deg]</span>
<span class="sd"> *margin* minimum space between Sankey outlines and the edge</span>
<span class="sd"> of the plot area</span>
<span class="sd"> *tolerance* acceptable maximum of the magnitude of the sum of</span>
<span class="sd"> flows</span>
<span class="sd"> The magnitude of the sum of connected flows cannot</span>
<span class="sd"> be greater than *tolerance*.</span>
<span class="sd"> =============== ===================================================</span>
<span class="sd"> The optional arguments listed above are applied to all subdiagrams so</span>
<span class="sd"> that there is consistent alignment and formatting.</span>
<span class="sd"> If :class:`Sankey` is instantiated with any keyword arguments other</span>
<span class="sd"> than those explicitly listed above (``**kwargs``), they will be passed</span>
<span class="sd"> to :meth:`add`, which will create the first subdiagram.</span>
<span class="sd"> In order to draw a complex Sankey diagram, create an instance of</span>
<span class="sd"> :class:`Sankey` by calling it without any kwargs::</span>
<span class="sd"> sankey = Sankey()</span>
<span class="sd"> Then add simple Sankey sub-diagrams::</span>
<span class="sd"> sankey.add() # 1</span>
<span class="sd"> sankey.add() # 2</span>
<span class="sd"> #...</span>
<span class="sd"> sankey.add() # n</span>
<span class="sd"> Finally, create the full diagram::</span>
<span class="sd"> sankey.finish()</span>
<span class="sd"> Or, instead, simply daisy-chain those calls::</span>
<span class="sd"> Sankey().add().add... .add().finish()</span>
<span class="sd"> See Also</span>
<span class="sd"> --------</span>
<span class="sd"> Sankey.add</span>
<span class="sd"> Sankey.finish</span>
<span class="sd"> Examples</span>
<span class="sd"> --------</span>
<span class="sd"> .. plot:: gallery/specialty_plots/sankey_basics.py</span>
<span class="sd"> """</span>
<span class="c1"># Check the arguments.</span>
<span class="k">if</span> <span class="n">gap</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"'gap' is negative, which is not allowed because it would "</span>
<span class="s2">"cause the paths to overlap"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">radius</span> <span class="o">></span> <span class="n">gap</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"'radius' is greater than 'gap', which is not allowed because "</span>
<span class="s2">"it would cause the paths to overlap"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">head_angle</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"'head_angle' is negative, which is not allowed because it "</span>
<span class="s2">"would cause inputs to look like outputs and vice versa"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">tolerance</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"'tolerance' is negative, but it must be a magnitude"</span><span class="p">)</span>
<span class="c1"># Create axes if necessary.</span>
<span class="k">if</span> <span class="n">ax</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</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="n">ax</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">xticks</span><span class="o">=</span><span class="p">[],</span> <span class="n">yticks</span><span class="o">=</span><span class="p">[])</span>
<span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span> <span class="o">=</span> <span class="p">[]</span>
<span class="c1"># Store the inputs.</span>
<span class="bp">self</span><span class="o">.</span><span class="n">ax</span> <span class="o">=</span> <span class="n">ax</span>
<span class="bp">self</span><span class="o">.</span><span class="n">unit</span> <span class="o">=</span> <span class="n">unit</span>
<span class="bp">self</span><span class="o">.</span><span class="n">format</span> <span class="o">=</span> <span class="nb">format</span>
<span class="bp">self</span><span class="o">.</span><span class="n">scale</span> <span class="o">=</span> <span class="n">scale</span>
<span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">=</span> <span class="n">gap</span>
<span class="bp">self</span><span class="o">.</span><span class="n">radius</span> <span class="o">=</span> <span class="n">radius</span>
<span class="bp">self</span><span class="o">.</span><span class="n">shoulder</span> <span class="o">=</span> <span class="n">shoulder</span>
<span class="bp">self</span><span class="o">.</span><span class="n">offset</span> <span class="o">=</span> <span class="n">offset</span>
<span class="bp">self</span><span class="o">.</span><span class="n">margin</span> <span class="o">=</span> <span class="n">margin</span>
<span class="bp">self</span><span class="o">.</span><span class="n">pitch</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">tan</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="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">head_angle</span> <span class="o">/</span> <span class="mf">180.0</span><span class="p">)</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span> <span class="o">=</span> <span class="n">tolerance</span>
<span class="c1"># Initialize the vertices of tight box around the diagram(s).</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</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="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">inf</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="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">))</span>
<span class="c1"># If there are any kwargs, create the first subdiagram.</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">kwargs</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">_arc</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">quadrant</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">cw</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">radius</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">center</span><span class="o">=</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="sd">"""</span>
<span class="sd"> Return the codes and vertices for a rotated, scaled, and translated</span>
<span class="sd"> 90 degree arc.</span>
<span class="sd"> Optional keyword arguments:</span>
<span class="sd"> =============== ==========================================</span>
<span class="sd"> Keyword Description</span>
<span class="sd"> =============== ==========================================</span>
<span class="sd"> *quadrant* uses 0-based indexing (0, 1, 2, or 3)</span>
<span class="sd"> *cw* if True, clockwise</span>
<span class="sd"> *center* (x, y) tuple of the arc's center</span>
<span class="sd"> =============== ==========================================</span>
<span class="sd"> """</span>
<span class="c1"># Note: It would be possible to use matplotlib's transforms to rotate,</span>
<span class="c1"># scale, and translate the arc, but since the angles are discrete,</span>
<span class="c1"># it's just as easy and maybe more efficient to do it here.</span>
<span class="n">ARC_CODES</span> <span class="o">=</span> <span class="p">[</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span>
<span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span>
<span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span>
<span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span>
<span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span>
<span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span>
<span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">]</span>
<span class="c1"># Vertices of a cubic Bezier curve approximating a 90 deg arc</span>
<span class="c1"># These can be determined by Path.arc(0, 90).</span>
<span class="n">ARC_VERTICES</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mf">1.00000000e+00</span><span class="p">,</span> <span class="mf">0.00000000e+00</span><span class="p">],</span>
<span class="p">[</span><span class="mf">1.00000000e+00</span><span class="p">,</span> <span class="mf">2.65114773e-01</span><span class="p">],</span>
<span class="p">[</span><span class="mf">8.94571235e-01</span><span class="p">,</span> <span class="mf">5.19642327e-01</span><span class="p">],</span>
<span class="p">[</span><span class="mf">7.07106781e-01</span><span class="p">,</span> <span class="mf">7.07106781e-01</span><span class="p">],</span>
<span class="p">[</span><span class="mf">5.19642327e-01</span><span class="p">,</span> <span class="mf">8.94571235e-01</span><span class="p">],</span>
<span class="p">[</span><span class="mf">2.65114773e-01</span><span class="p">,</span> <span class="mf">1.00000000e+00</span><span class="p">],</span>
<span class="c1"># Insignificant</span>
<span class="c1"># [6.12303177e-17, 1.00000000e+00]])</span>
<span class="p">[</span><span class="mf">0.00000000e+00</span><span class="p">,</span> <span class="mf">1.00000000e+00</span><span class="p">]])</span>
<span class="k">if</span> <span class="n">quadrant</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">quadrant</span> <span class="o">==</span> <span class="mi">2</span><span class="p">:</span>
<span class="k">if</span> <span class="n">cw</span><span class="p">:</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">ARC_VERTICES</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">ARC_VERTICES</span><span class="p">[:,</span> <span class="p">::</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="c1"># Swap x and y.</span>
<span class="k">elif</span> <span class="n">quadrant</span> <span class="o">==</span> <span class="mi">1</span> <span class="ow">or</span> <span class="n">quadrant</span> <span class="o">==</span> <span class="mi">3</span><span class="p">:</span>
<span class="c1"># Negate x.</span>
<span class="k">if</span> <span class="n">cw</span><span class="p">:</span>
<span class="c1"># Swap x and y.</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">column_stack</span><span class="p">((</span><span class="o">-</span><span class="n">ARC_VERTICES</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">],</span>
<span class="n">ARC_VERTICES</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">]))</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">column_stack</span><span class="p">((</span><span class="o">-</span><span class="n">ARC_VERTICES</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">],</span>
<span class="n">ARC_VERTICES</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">]))</span>
<span class="k">if</span> <span class="n">quadrant</span> <span class="o">></span> <span class="mi">1</span><span class="p">:</span>
<span class="n">radius</span> <span class="o">=</span> <span class="o">-</span><span class="n">radius</span> <span class="c1"># Rotate 180 deg.</span>
<span class="k">return</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">ARC_CODES</span><span class="p">,</span> <span class="n">radius</span> <span class="o">*</span> <span class="n">vertices</span> <span class="o">+</span>
<span class="n">np</span><span class="o">.</span><span class="n">tile</span><span class="p">(</span><span class="n">center</span><span class="p">,</span> <span class="p">(</span><span class="n">ARC_VERTICES</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="mi">1</span><span class="p">))))</span>
<span class="k">def</span> <span class="nf">_add_input</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">path</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="n">flow</span><span class="p">,</span> <span class="n">length</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Add an input to a path and return its tip and label locations.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">angle</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">return</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="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
<span class="k">else</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">path</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">]</span> <span class="c1"># Use the last point as a reference.</span>
<span class="n">dipdepth</span> <span class="o">=</span> <span class="p">(</span><span class="n">flow</span> <span class="o">/</span> <span class="mi">2</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">pitch</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">RIGHT</span><span class="p">:</span>
<span class="n">x</span> <span class="o">-=</span> <span class="n">length</span>
<span class="n">dip</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span> <span class="o">+</span> <span class="n">dipdepth</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">flow</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]</span>
<span class="n">path</span><span class="o">.</span><span class="n">extend</span><span class="p">([(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="n">dip</span><span class="p">),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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">flow</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">flow</span><span class="p">])])</span>
<span class="n">label_location</span> <span class="o">=</span> <span class="p">[</span><span class="n">dip</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">offset</span><span class="p">,</span> <span class="n">dip</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
<span class="k">else</span><span class="p">:</span> <span class="c1"># Vertical</span>
<span class="n">x</span> <span class="o">-=</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span><span class="p">:</span>
<span class="n">sign</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">sign</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
<span class="n">dip</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="n">flow</span> <span class="o">/</span> <span class="mi">2</span><span class="p">,</span> <span class="n">y</span> <span class="o">-</span> <span class="n">sign</span> <span class="o">*</span> <span class="p">(</span><span class="n">length</span> <span class="o">-</span> <span class="n">dipdepth</span><span class="p">)]</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span><span class="p">:</span>
<span class="n">quadrant</span> <span class="o">=</span> <span class="mi">2</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">quadrant</span> <span class="o">=</span> <span class="mi">1</span>
<span class="c1"># Inner arc isn't needed if inner radius is zero</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">:</span>
<span class="n">path</span><span class="o">.</span><span class="n">extend</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_arc</span><span class="p">(</span><span class="n">quadrant</span><span class="o">=</span><span class="n">quadrant</span><span class="p">,</span>
<span class="n">cw</span><span class="o">=</span><span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="n">x</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">y</span> <span class="o">-</span> <span class="n">sign</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">path</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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">path</span><span class="o">.</span><span class="n">extend</span><span class="p">([(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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">sign</span> <span class="o">*</span> <span class="n">length</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="n">dip</span><span class="p">),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="n">flow</span><span class="p">,</span> <span class="n">y</span> <span class="o">-</span> <span class="n">sign</span> <span class="o">*</span> <span class="n">length</span><span class="p">])])</span>
<span class="n">path</span><span class="o">.</span><span class="n">extend</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_arc</span><span class="p">(</span><span class="n">quadrant</span><span class="o">=</span><span class="n">quadrant</span><span class="p">,</span>
<span class="n">cw</span><span class="o">=</span><span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="n">flow</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="n">x</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">y</span> <span class="o">-</span> <span class="n">sign</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">)))</span>
<span class="n">path</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="n">flow</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="n">flow</span><span class="p">]))</span>
<span class="n">label_location</span> <span class="o">=</span> <span class="p">[</span><span class="n">dip</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">dip</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">sign</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">offset</span><span class="p">]</span>
<span class="k">return</span> <span class="n">dip</span><span class="p">,</span> <span class="n">label_location</span>
<span class="k">def</span> <span class="nf">_add_output</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">path</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="n">flow</span><span class="p">,</span> <span class="n">length</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Append an output to a path and return its tip and label locations.</span>
<span class="sd"> .. note:: *flow* is negative for an output.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">angle</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">return</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="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
<span class="k">else</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">path</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">]</span> <span class="c1"># Use the last point as a reference.</span>
<span class="n">tipheight</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">shoulder</span> <span class="o">-</span> <span class="n">flow</span> <span class="o">/</span> <span class="mi">2</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">pitch</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">RIGHT</span><span class="p">:</span>
<span class="n">x</span> <span class="o">+=</span> <span class="n">length</span>
<span class="n">tip</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span> <span class="o">+</span> <span class="n">tipheight</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">flow</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]</span>
<span class="n">path</span><span class="o">.</span><span class="n">extend</span><span class="p">([(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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="bp">self</span><span class="o">.</span><span class="n">shoulder</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="n">tip</span><span class="p">),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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="bp">self</span><span class="o">.</span><span class="n">shoulder</span> <span class="o">+</span> <span class="n">flow</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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">flow</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">flow</span><span class="p">])])</span>
<span class="n">label_location</span> <span class="o">=</span> <span class="p">[</span><span class="n">tip</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">offset</span><span class="p">,</span> <span class="n">tip</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
<span class="k">else</span><span class="p">:</span> <span class="c1"># Vertical</span>
<span class="n">x</span> <span class="o">+=</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span><span class="p">:</span>
<span class="n">sign</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">sign</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span>
<span class="n">tip</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="n">flow</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="p">(</span><span class="n">length</span> <span class="o">+</span> <span class="n">tipheight</span><span class="p">)]</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span><span class="p">:</span>
<span class="n">quadrant</span> <span class="o">=</span> <span class="mi">3</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">quadrant</span> <span class="o">=</span> <span class="mi">0</span>
<span class="c1"># Inner arc isn't needed if inner radius is zero</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">:</span>
<span class="n">path</span><span class="o">.</span><span class="n">extend</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_arc</span><span class="p">(</span><span class="n">quadrant</span><span class="o">=</span><span class="n">quadrant</span><span class="p">,</span>
<span class="n">cw</span><span class="o">=</span><span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">path</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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">path</span><span class="o">.</span><span class="n">extend</span><span class="p">([(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</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">sign</span> <span class="o">*</span> <span class="n">length</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">shoulder</span><span class="p">,</span>
<span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="n">length</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="n">tip</span><span class="p">),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">shoulder</span> <span class="o">-</span> <span class="n">flow</span><span class="p">,</span>
<span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="n">length</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="n">flow</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="n">length</span><span class="p">])])</span>
<span class="n">path</span><span class="o">.</span><span class="n">extend</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_arc</span><span class="p">(</span><span class="n">quadrant</span><span class="o">=</span><span class="n">quadrant</span><span class="p">,</span>
<span class="n">cw</span><span class="o">=</span><span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">radius</span> <span class="o">-</span> <span class="n">flow</span><span class="p">,</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">,</span>
<span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">radius</span><span class="p">)))</span>
<span class="n">path</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span> <span class="o">-</span> <span class="n">flow</span><span class="p">,</span> <span class="n">y</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="n">flow</span><span class="p">]))</span>
<span class="n">label_location</span> <span class="o">=</span> <span class="p">[</span><span class="n">tip</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">tip</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">sign</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">offset</span><span class="p">]</span>
<span class="k">return</span> <span class="n">tip</span><span class="p">,</span> <span class="n">label_location</span>
<span class="k">def</span> <span class="nf">_revert</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">path</span><span class="p">,</span> <span class="n">first_action</span><span class="o">=</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> A path is not simply reversible by path[::-1] since the code</span>
<span class="sd"> specifies an action to take from the **previous** point.</span>
<span class="sd"> """</span>
<span class="n">reverse_path</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">next_code</span> <span class="o">=</span> <span class="n">first_action</span>
<span class="k">for</span> <span class="n">code</span><span class="p">,</span> <span class="n">position</span> <span class="ow">in</span> <span class="n">path</span><span class="p">[::</span><span class="o">-</span><span class="mi">1</span><span class="p">]:</span>
<span class="n">reverse_path</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">next_code</span><span class="p">,</span> <span class="n">position</span><span class="p">))</span>
<span class="n">next_code</span> <span class="o">=</span> <span class="n">code</span>
<span class="k">return</span> <span class="n">reverse_path</span>
<span class="c1"># This might be more efficient, but it fails because 'tuple' object</span>
<span class="c1"># doesn't support item assignment:</span>
<span class="c1"># path[1] = path[1][-1:0:-1]</span>
<span class="c1"># path[1][0] = first_action</span>
<span class="c1"># path[2] = path[2][::-1]</span>
<span class="c1"># return path</span>
<div class="viewcode-block" id="Sankey.add"><a class="viewcode-back" href="../../api/sankey_api.html#matplotlib.sankey.Sankey.add">[docs]</a> <span class="nd">@docstring</span><span class="o">.</span><span class="n">dedent_interpd</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">patchlabel</span><span class="o">=</span><span class="s1">''</span><span class="p">,</span> <span class="n">flows</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">orientations</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">labels</span><span class="o">=</span><span class="s1">''</span><span class="p">,</span>
<span class="n">trunklength</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">pathlengths</span><span class="o">=</span><span class="mf">0.25</span><span class="p">,</span> <span class="n">prior</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">connect</span><span class="o">=</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="n">rotation</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Add a simple Sankey diagram with flows at the same hierarchical level.</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> patchlabel : str</span>
<span class="sd"> Label to be placed at the center of the diagram.</span>
<span class="sd"> Note that *label* (not *patchlabel*) can be passed as keyword</span>
<span class="sd"> argument to create an entry in the legend.</span>
<span class="sd"> flows : list of float</span>
<span class="sd"> Array of flow values. By convention, inputs are positive and</span>
<span class="sd"> outputs are negative.</span>
<span class="sd"> Flows are placed along the top of the diagram from the inside out</span>
<span class="sd"> in order of their index within *flows*. They are placed along the</span>
<span class="sd"> sides of the diagram from the top down and along the bottom from</span>
<span class="sd"> the outside in.</span>
<span class="sd"> If the sum of the inputs and outputs is</span>
<span class="sd"> nonzero, the discrepancy will appear as a cubic Bezier curve along</span>
<span class="sd"> the top and bottom edges of the trunk.</span>
<span class="sd"> orientations : list of {-1, 0, 1}</span>
<span class="sd"> List of orientations of the flows (or a single orientation to be</span>
<span class="sd"> used for all flows). Valid values are 0 (inputs from</span>
<span class="sd"> the left, outputs to the right), 1 (from and to the top) or -1</span>
<span class="sd"> (from and to the bottom).</span>
<span class="sd"> labels : list of (str or None)</span>
<span class="sd"> List of labels for the flows (or a single label to be used for all</span>
<span class="sd"> flows). Each label may be *None* (no label), or a labeling string.</span>
<span class="sd"> If an entry is a (possibly empty) string, then the quantity for the</span>
<span class="sd"> corresponding flow will be shown below the string. However, if</span>
<span class="sd"> the *unit* of the main diagram is None, then quantities are never</span>
<span class="sd"> shown, regardless of the value of this argument.</span>
<span class="sd"> trunklength : float</span>
<span class="sd"> Length between the bases of the input and output groups (in</span>
<span class="sd"> data-space units).</span>
<span class="sd"> pathlengths : list of float</span>
<span class="sd"> List of lengths of the vertical arrows before break-in or after</span>
<span class="sd"> break-away. If a single value is given, then it will be applied to</span>
<span class="sd"> the first (inside) paths on the top and bottom, and the length of</span>
<span class="sd"> all other arrows will be justified accordingly. The *pathlengths*</span>
<span class="sd"> are not applied to the horizontal inputs and outputs.</span>
<span class="sd"> prior : int</span>
<span class="sd"> Index of the prior diagram to which this diagram should be</span>
<span class="sd"> connected.</span>
<span class="sd"> connect : (int, int)</span>
<span class="sd"> A (prior, this) tuple indexing the flow of the prior diagram and</span>
<span class="sd"> the flow of this diagram which should be connected. If this is the</span>
<span class="sd"> first diagram or *prior* is *None*, *connect* will be ignored.</span>
<span class="sd"> rotation : float</span>
<span class="sd"> Angle of rotation of the diagram in degrees. The interpretation of</span>
<span class="sd"> the *orientations* argument will be rotated accordingly (e.g., if</span>
<span class="sd"> *rotation* == 90, an *orientations* entry of 1 means to/from the</span>
<span class="sd"> left). *rotation* is ignored if this diagram is connected to an</span>
<span class="sd"> existing one (using *prior* and *connect*).</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> Sankey</span>
<span class="sd"> The current `.Sankey` instance.</span>
<span class="sd"> Other Parameters</span>
<span class="sd"> ----------------</span>
<span class="sd"> **kwargs</span>
<span class="sd"> Additional keyword arguments set `matplotlib.patches.PathPatch`</span>
<span class="sd"> properties, listed below. For example, one may want to use</span>
<span class="sd"> ``fill=False`` or ``label="A legend entry"``.</span>
<span class="sd"> %(Patch)s</span>
<span class="sd"> See Also</span>
<span class="sd"> --------</span>
<span class="sd"> Sankey.finish</span>
<span class="sd"> """</span>
<span class="c1"># Check and preprocess the arguments.</span>
<span class="k">if</span> <span class="n">flows</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">flows</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.0</span><span class="p">])</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">flows</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">flows</span><span class="p">)</span>
<span class="n">n</span> <span class="o">=</span> <span class="n">flows</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="c1"># Number of flows</span>
<span class="k">if</span> <span class="n">rotation</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">rotation</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">else</span><span class="p">:</span>
<span class="c1"># In the code below, angles are expressed in deg/90.</span>
<span class="n">rotation</span> <span class="o">/=</span> <span class="mf">90.0</span>
<span class="k">if</span> <span class="n">orientations</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">orientations</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">try</span><span class="p">:</span>
<span class="n">orientations</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">broadcast_to</span><span class="p">(</span><span class="n">orientations</span><span class="p">,</span> <span class="n">n</span><span class="p">)</span>
<span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The shapes of 'flows' </span><span class="si">{</span><span class="n">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">flows</span><span class="p">)</span><span class="si">}</span><span class="s2"> and 'orientations' "</span>
<span class="sa">f</span><span class="s2">"</span><span class="si">{</span><span class="n">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">orientations</span><span class="p">)</span><span class="si">}</span><span class="s2"> are incompatible"</span>
<span class="p">)</span> <span class="kn">from</span> <span class="bp">None</span>
<span class="k">try</span><span class="p">:</span>
<span class="n">labels</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">broadcast_to</span><span class="p">(</span><span class="n">labels</span><span class="p">,</span> <span class="n">n</span><span class="p">)</span>
<span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The shapes of 'flows' </span><span class="si">{</span><span class="n">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">flows</span><span class="p">)</span><span class="si">}</span><span class="s2"> and 'labels' "</span>
<span class="sa">f</span><span class="s2">"</span><span class="si">{</span><span class="n">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">labels</span><span class="p">)</span><span class="si">}</span><span class="s2"> are incompatible"</span>
<span class="p">)</span> <span class="kn">from</span> <span class="bp">None</span>
<span class="k">if</span> <span class="n">trunklength</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"'trunklength' is negative, which is not allowed because it "</span>
<span class="s2">"would cause poor layout"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">flows</span><span class="p">))</span> <span class="o">></span> <span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span><span class="p">:</span>
<span class="n">_log</span><span class="o">.</span><span class="n">info</span><span class="p">(</span><span class="s2">"The sum of the flows is nonzero (</span><span class="si">%f</span><span class="s2">; patchlabel=</span><span class="si">%r</span><span class="s2">); "</span>
<span class="s2">"is the system not at steady state?"</span><span class="p">,</span>
<span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">flows</span><span class="p">),</span> <span class="n">patchlabel</span><span class="p">)</span>
<span class="n">scaled_flows</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">scale</span> <span class="o">*</span> <span class="n">flows</span>
<span class="n">gain</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">(</span><span class="nb">max</span><span class="p">(</span><span class="n">flow</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="k">for</span> <span class="n">flow</span> <span class="ow">in</span> <span class="n">scaled_flows</span><span class="p">)</span>
<span class="n">loss</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">(</span><span class="nb">min</span><span class="p">(</span><span class="n">flow</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="k">for</span> <span class="n">flow</span> <span class="ow">in</span> <span class="n">scaled_flows</span><span class="p">)</span>
<span class="k">if</span> <span class="n">prior</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">if</span> <span class="n">prior</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">"The index of the prior diagram is negative"</span><span class="p">)</span>
<span class="k">if</span> <span class="nb">min</span><span class="p">(</span><span class="n">connect</span><span class="p">)</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"At least one of the connection indices is negative"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">prior</span> <span class="o">>=</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">):</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The index of the prior diagram is </span><span class="si">{</span><span class="n">prior</span><span class="si">}</span><span class="s2">, but there "</span>
<span class="sa">f</span><span class="s2">"are only </span><span class="si">{</span><span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">)</span><span class="si">}</span><span class="s2"> other diagrams"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">>=</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">[</span><span class="n">prior</span><span class="p">]</span><span class="o">.</span><span class="n">flows</span><span class="p">):</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="s2">"The connection index to the source diagram is </span><span class="si">{}</span><span class="s2">, but "</span>
<span class="s2">"that diagram has only </span><span class="si">{}</span><span class="s2"> flows"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span>
<span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">[</span><span class="n">prior</span><span class="p">]</span><span class="o">.</span><span class="n">flows</span><span class="p">)))</span>
<span class="k">if</span> <span class="n">connect</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">>=</span> <span class="n">n</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The connection index to this diagram is </span><span class="si">{</span><span class="n">connect</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="si">}</span><span class="s2">, "</span>
<span class="sa">f</span><span class="s2">"but this diagram has only </span><span class="si">{</span><span class="n">n</span><span class="si">}</span><span class="s2"> flows"</span><span class="p">)</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">[</span><span class="n">prior</span><span class="p">]</span><span class="o">.</span><span class="n">angles</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The connection cannot be made, which may occur if the "</span>
<span class="sa">f</span><span class="s2">"magnitude of flow </span><span class="si">{</span><span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="si">}</span><span class="s2"> of diagram </span><span class="si">{</span><span class="n">prior</span><span class="si">}</span><span class="s2"> is "</span>
<span class="sa">f</span><span class="s2">"less than the specified tolerance"</span><span class="p">)</span>
<span class="n">flow_error</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">[</span><span class="n">prior</span><span class="p">]</span><span class="o">.</span><span class="n">flows</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span> <span class="o">+</span>
<span class="n">flows</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">1</span><span class="p">]])</span>
<span class="k">if</span> <span class="nb">abs</span><span class="p">(</span><span class="n">flow_error</span><span class="p">)</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The scaled sum of the connected flows is </span><span class="si">{</span><span class="n">flow_error</span><span class="si">}</span><span class="s2">, "</span>
<span class="sa">f</span><span class="s2">"which is not within the tolerance (</span><span class="si">{</span><span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span><span class="si">}</span><span class="s2">)"</span><span class="p">)</span>
<span class="c1"># Determine if the flows are inputs.</span>
<span class="n">are_inputs</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span><span class="p">]</span> <span class="o">*</span> <span class="n">n</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">flow</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">flows</span><span class="p">):</span>
<span class="k">if</span> <span class="n">flow</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span><span class="p">:</span>
<span class="n">are_inputs</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="kc">True</span>
<span class="k">elif</span> <span class="n">flow</span> <span class="o"><=</span> <span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span><span class="p">:</span>
<span class="n">are_inputs</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="kc">False</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">_log</span><span class="o">.</span><span class="n">info</span><span class="p">(</span>
<span class="s2">"The magnitude of flow </span><span class="si">%d</span><span class="s2"> (</span><span class="si">%f</span><span class="s2">) is below the tolerance "</span>
<span class="s2">"(</span><span class="si">%f</span><span class="s2">).</span><span class="se">\n</span><span class="s2">It will not be shown, and it cannot be used in a "</span>
<span class="s2">"connection."</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">flow</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">tolerance</span><span class="p">)</span>
<span class="c1"># Determine the angles of the arrows (before rotation).</span>
<span class="n">angles</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span><span class="p">]</span> <span class="o">*</span> <span class="n">n</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">orient</span><span class="p">,</span> <span class="n">is_input</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">orientations</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">)):</span>
<span class="k">if</span> <span class="n">orient</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">if</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">angles</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">DOWN</span>
<span class="k">elif</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="c1"># Be specific since is_input can be None.</span>
<span class="n">angles</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">UP</span>
<span class="k">elif</span> <span class="n">orient</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">if</span> <span class="n">is_input</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">angles</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">RIGHT</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">if</span> <span class="n">orient</span> <span class="o">!=</span> <span class="o">-</span><span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The value of orientations[</span><span class="si">{</span><span class="n">i</span><span class="si">}</span><span class="s2">] is </span><span class="si">{</span><span class="n">orient</span><span class="si">}</span><span class="s2">, "</span>
<span class="sa">f</span><span class="s2">"but it must be -1, 0, or 1"</span><span class="p">)</span>
<span class="k">if</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">angles</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">UP</span>
<span class="k">elif</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">angles</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">DOWN</span>
<span class="c1"># Justify the lengths of the paths.</span>
<span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">iterable</span><span class="p">(</span><span class="n">pathlengths</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">pathlengths</span><span class="p">)</span> <span class="o">!=</span> <span class="n">n</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
<span class="sa">f</span><span class="s2">"The lengths of 'flows' (</span><span class="si">{</span><span class="n">n</span><span class="si">}</span><span class="s2">) and 'pathlengths' "</span>
<span class="sa">f</span><span class="s2">"(</span><span class="si">{</span><span class="nb">len</span><span class="p">(</span><span class="n">pathlengths</span><span class="p">)</span><span class="si">}</span><span class="s2">) are incompatible"</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span> <span class="c1"># Make pathlengths into a list.</span>
<span class="n">urlength</span> <span class="o">=</span> <span class="n">pathlengths</span>
<span class="n">ullength</span> <span class="o">=</span> <span class="n">pathlengths</span>
<span class="n">lrlength</span> <span class="o">=</span> <span class="n">pathlengths</span>
<span class="n">lllength</span> <span class="o">=</span> <span class="n">pathlengths</span>
<span class="n">d</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">(</span><span class="n">RIGHT</span><span class="o">=</span><span class="n">pathlengths</span><span class="p">)</span>
<span class="n">pathlengths</span> <span class="o">=</span> <span class="p">[</span><span class="n">d</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="k">for</span> <span class="n">angle</span> <span class="ow">in</span> <span class="n">angles</span><span class="p">]</span>
<span class="c1"># Determine the lengths of the top-side arrows</span>
<span class="c1"># from the middle outwards.</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">flow</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span>
<span class="n">scaled_flows</span><span class="p">)):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span> <span class="ow">and</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">pathlengths</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">ullength</span>
<span class="n">ullength</span> <span class="o">+=</span> <span class="n">flow</span>
<span class="k">elif</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span> <span class="ow">and</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">pathlengths</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">urlength</span>
<span class="n">urlength</span> <span class="o">-=</span> <span class="n">flow</span> <span class="c1"># Flow is negative for outputs.</span>
<span class="c1"># Determine the lengths of the bottom-side arrows</span>
<span class="c1"># from the middle outwards.</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">flow</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">reversed</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="n">scaled_flows</span><span class="p">)))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span> <span class="ow">and</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">pathlengths</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">lllength</span>
<span class="n">lllength</span> <span class="o">+=</span> <span class="n">flow</span>
<span class="k">elif</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span> <span class="ow">and</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">pathlengths</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">lrlength</span>
<span class="n">lrlength</span> <span class="o">-=</span> <span class="n">flow</span>
<span class="c1"># Determine the lengths of the left-side arrows</span>
<span class="c1"># from the bottom upwards.</span>
<span class="n">has_left_input</span> <span class="o">=</span> <span class="kc">False</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">spec</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">reversed</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="nb">zip</span><span class="p">(</span><span class="n">scaled_flows</span><span class="p">,</span> <span class="n">pathlengths</span><span class="p">))))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">RIGHT</span><span class="p">:</span>
<span class="k">if</span> <span class="n">is_input</span><span class="p">:</span>
<span class="k">if</span> <span class="n">has_left_input</span><span class="p">:</span>
<span class="n">pathlengths</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">has_left_input</span> <span class="o">=</span> <span class="kc">True</span>
<span class="c1"># Determine the lengths of the right-side arrows</span>
<span class="c1"># from the top downwards.</span>
<span class="n">has_right_output</span> <span class="o">=</span> <span class="kc">False</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">spec</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">scaled_flows</span><span class="p">,</span> <span class="n">pathlengths</span><span class="p">)))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">RIGHT</span><span class="p">:</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="k">if</span> <span class="n">has_right_output</span><span class="p">:</span>
<span class="n">pathlengths</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">has_right_output</span> <span class="o">=</span> <span class="kc">True</span>
<span class="c1"># Begin the subpaths, and smooth the transition if the sum of the flows</span>
<span class="c1"># is nonzero.</span>
<span class="n">urpath</span> <span class="o">=</span> <span class="p">[(</span><span class="n">Path</span><span class="o">.</span><span class="n">MOVETO</span><span class="p">,</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">),</span> <span class="c1"># Upper right</span>
<span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">)</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">,</span>
<span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">)</span> <span class="o">/</span> <span class="mf">8.0</span><span class="p">,</span>
<span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">)</span> <span class="o">/</span> <span class="mf">8.0</span><span class="p">,</span>
<span class="o">-</span><span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">)</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">,</span>
<span class="o">-</span><span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">),</span>
<span class="o">-</span><span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">])]</span>
<span class="n">llpath</span> <span class="o">=</span> <span class="p">[(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">),</span> <span class="c1"># Lower left</span>
<span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">)</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">,</span>
<span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">)</span> <span class="o">/</span> <span class="mf">8.0</span><span class="p">,</span>
<span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">CURVE4</span><span class="p">,</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">)</span> <span class="o">/</span> <span class="mf">8.0</span><span class="p">,</span>
<span class="o">-</span><span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">)</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">,</span>
<span class="o">-</span><span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">]),</span>
<span class="p">(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">),</span>
<span class="o">-</span><span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">])]</span>
<span class="n">lrpath</span> <span class="o">=</span> <span class="p">[(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[(</span><span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">gap</span><span class="p">),</span> <span class="c1"># Lower right</span>
<span class="n">loss</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">])]</span>
<span class="n">ulpath</span> <span class="o">=</span> <span class="p">[(</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">gap</span> <span class="o">-</span> <span class="n">trunklength</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">,</span> <span class="c1"># Upper left</span>
<span class="n">gain</span> <span class="o">/</span> <span class="mf">2.0</span><span class="p">])]</span>
<span class="c1"># Add the subpaths and assign the locations of the tips and labels.</span>
<span class="n">tips</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">n</span><span class="p">,</span> <span class="mi">2</span><span class="p">))</span>
<span class="n">label_locations</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">n</span><span class="p">,</span> <span class="mi">2</span><span class="p">))</span>
<span class="c1"># Add the top-side inputs and outputs from the middle outwards.</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">spec</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">scaled_flows</span><span class="p">,</span> <span class="n">pathlengths</span><span class="p">)))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span> <span class="ow">and</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">tips</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="p">:],</span> <span class="n">label_locations</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_add_input</span><span class="p">(</span>
<span class="n">ulpath</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">spec</span><span class="p">)</span>
<span class="k">elif</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span> <span class="ow">and</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">tips</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="p">:],</span> <span class="n">label_locations</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_add_output</span><span class="p">(</span>
<span class="n">urpath</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">spec</span><span class="p">)</span>
<span class="c1"># Add the bottom-side inputs and outputs from the middle outwards.</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">spec</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">reversed</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">scaled_flows</span><span class="p">,</span> <span class="n">pathlengths</span><span class="p">)))))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">UP</span> <span class="ow">and</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">tip</span><span class="p">,</span> <span class="n">label_location</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_add_input</span><span class="p">(</span><span class="n">llpath</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">spec</span><span class="p">)</span>
<span class="n">tips</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">tip</span>
<span class="n">label_locations</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">label_location</span>
<span class="k">elif</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">DOWN</span> <span class="ow">and</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="n">tip</span><span class="p">,</span> <span class="n">label_location</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_add_output</span><span class="p">(</span><span class="n">lrpath</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">spec</span><span class="p">)</span>
<span class="n">tips</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">tip</span>
<span class="n">label_locations</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">label_location</span>
<span class="c1"># Add the left-side inputs from the bottom upwards.</span>
<span class="n">has_left_input</span> <span class="o">=</span> <span class="kc">False</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">spec</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">reversed</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">scaled_flows</span><span class="p">,</span> <span class="n">pathlengths</span><span class="p">)))))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">RIGHT</span> <span class="ow">and</span> <span class="n">is_input</span><span class="p">:</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">has_left_input</span><span class="p">:</span>
<span class="c1"># Make sure the lower path extends</span>
<span class="c1"># at least as far as the upper one.</span>
<span class="k">if</span> <span class="n">llpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">></span> <span class="n">ulpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">]:</span>
<span class="n">llpath</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">ulpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span>
<span class="n">llpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">]]))</span>
<span class="n">has_left_input</span> <span class="o">=</span> <span class="kc">True</span>
<span class="n">tip</span><span class="p">,</span> <span class="n">label_location</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_add_input</span><span class="p">(</span><span class="n">llpath</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">spec</span><span class="p">)</span>
<span class="n">tips</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">tip</span>
<span class="n">label_locations</span><span class="p">[</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">label_location</span>
<span class="c1"># Add the right-side outputs from the top downwards.</span>
<span class="n">has_right_output</span> <span class="o">=</span> <span class="kc">False</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">is_input</span><span class="p">,</span> <span class="n">spec</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span>
<span class="n">angles</span><span class="p">,</span> <span class="n">are_inputs</span><span class="p">,</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">scaled_flows</span><span class="p">,</span> <span class="n">pathlengths</span><span class="p">)))):</span>
<span class="k">if</span> <span class="n">angle</span> <span class="o">==</span> <span class="n">RIGHT</span> <span class="ow">and</span> <span class="ow">not</span> <span class="n">is_input</span><span class="p">:</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">has_right_output</span><span class="p">:</span>
<span class="c1"># Make sure the upper path extends</span>
<span class="c1"># at least as far as the lower one.</span>
<span class="k">if</span> <span class="n">urpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o"><</span> <span class="n">lrpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">]:</span>
<span class="n">urpath</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">Path</span><span class="o">.</span><span class="n">LINETO</span><span class="p">,</span> <span class="p">[</span><span class="n">lrpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span>
<span class="n">urpath</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">]]))</span>
<span class="n">has_right_output</span> <span class="o">=</span> <span class="kc">True</span>
<span class="n">tips</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="p">:],</span> <span class="n">label_locations</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_add_output</span><span class="p">(</span>
<span class="n">urpath</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">spec</span><span class="p">)</span>
<span class="c1"># Trim any hanging vertices.</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">has_left_input</span><span class="p">:</span>
<span class="n">ulpath</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
<span class="n">llpath</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">has_right_output</span><span class="p">:</span>
<span class="n">lrpath</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
<span class="n">urpath</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
<span class="c1"># Concatenate the subpaths in the correct order (clockwise from top).</span>
<span class="n">path</span> <span class="o">=</span> <span class="p">(</span><span class="n">urpath</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">_revert</span><span class="p">(</span><span class="n">lrpath</span><span class="p">)</span> <span class="o">+</span> <span class="n">llpath</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">_revert</span><span class="p">(</span><span class="n">ulpath</span><span class="p">)</span> <span class="o">+</span>
<span class="p">[(</span><span class="n">Path</span><span class="o">.</span><span class="n">CLOSEPOLY</span><span class="p">,</span> <span class="n">urpath</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">1</span><span class="p">])])</span>
<span class="c1"># Create a patch with the Sankey outline.</span>
<span class="n">codes</span><span class="p">,</span> <span class="n">vertices</span> <span class="o">=</span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="n">path</span><span class="p">)</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">vertices</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">_get_angle</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">r</span><span class="p">):</span>
<span class="k">if</span> <span class="n">a</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">return</span> <span class="kc">None</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">a</span> <span class="o">+</span> <span class="n">r</span>
<span class="k">if</span> <span class="n">prior</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">if</span> <span class="n">rotation</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span> <span class="c1"># By default, none of this is needed.</span>
<span class="n">angles</span> <span class="o">=</span> <span class="p">[</span><span class="n">_get_angle</span><span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">rotation</span><span class="p">)</span> <span class="k">for</span> <span class="n">angle</span> <span class="ow">in</span> <span class="n">angles</span><span class="p">]</span>
<span class="n">rotate</span> <span class="o">=</span> <span class="n">Affine2D</span><span class="p">()</span><span class="o">.</span><span class="n">rotate_deg</span><span class="p">(</span><span class="n">rotation</span> <span class="o">*</span> <span class="mi">90</span><span class="p">)</span><span class="o">.</span><span class="n">transform_affine</span>
<span class="n">tips</span> <span class="o">=</span> <span class="n">rotate</span><span class="p">(</span><span class="n">tips</span><span class="p">)</span>
<span class="n">label_locations</span> <span class="o">=</span> <span class="n">rotate</span><span class="p">(</span><span class="n">label_locations</span><span class="p">)</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">rotate</span><span class="p">(</span><span class="n">vertices</span><span class="p">)</span>
<span class="n">text</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">text</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="n">s</span><span class="o">=</span><span class="n">patchlabel</span><span class="p">,</span> <span class="n">ha</span><span class="o">=</span><span class="s1">'center'</span><span class="p">,</span> <span class="n">va</span><span class="o">=</span><span class="s1">'center'</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">rotation</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">[</span><span class="n">prior</span><span class="p">]</span><span class="o">.</span><span class="n">angles</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span> <span class="o">-</span>
<span class="n">angles</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">1</span><span class="p">]])</span>
<span class="n">angles</span> <span class="o">=</span> <span class="p">[</span><span class="n">_get_angle</span><span class="p">(</span><span class="n">angle</span><span class="p">,</span> <span class="n">rotation</span><span class="p">)</span> <span class="k">for</span> <span class="n">angle</span> <span class="ow">in</span> <span class="n">angles</span><span class="p">]</span>
<span class="n">rotate</span> <span class="o">=</span> <span class="n">Affine2D</span><span class="p">()</span><span class="o">.</span><span class="n">rotate_deg</span><span class="p">(</span><span class="n">rotation</span> <span class="o">*</span> <span class="mi">90</span><span class="p">)</span><span class="o">.</span><span class="n">transform_affine</span>
<span class="n">tips</span> <span class="o">=</span> <span class="n">rotate</span><span class="p">(</span><span class="n">tips</span><span class="p">)</span>
<span class="n">offset</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="p">[</span><span class="n">prior</span><span class="p">]</span><span class="o">.</span><span class="n">tips</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span> <span class="o">-</span> <span class="n">tips</span><span class="p">[</span><span class="n">connect</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
<span class="n">translate</span> <span class="o">=</span> <span class="n">Affine2D</span><span class="p">()</span><span class="o">.</span><span class="n">translate</span><span class="p">(</span><span class="o">*</span><span class="n">offset</span><span class="p">)</span><span class="o">.</span><span class="n">transform_affine</span>
<span class="n">tips</span> <span class="o">=</span> <span class="n">translate</span><span class="p">(</span><span class="n">tips</span><span class="p">)</span>
<span class="n">label_locations</span> <span class="o">=</span> <span class="n">translate</span><span class="p">(</span><span class="n">rotate</span><span class="p">(</span><span class="n">label_locations</span><span class="p">))</span>
<span class="n">vertices</span> <span class="o">=</span> <span class="n">translate</span><span class="p">(</span><span class="n">rotate</span><span class="p">(</span><span class="n">vertices</span><span class="p">))</span>
<span class="n">kwds</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">(</span><span class="n">s</span><span class="o">=</span><span class="n">patchlabel</span><span class="p">,</span> <span class="n">ha</span><span class="o">=</span><span class="s1">'center'</span><span class="p">,</span> <span class="n">va</span><span class="o">=</span><span class="s1">'center'</span><span class="p">)</span>
<span class="n">text</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="o">*</span><span class="n">offset</span><span class="p">,</span> <span class="o">**</span><span class="n">kwds</span><span class="p">)</span>
<span class="k">if</span> <span class="n">rcParams</span><span class="p">[</span><span class="s1">'_internal.classic_mode'</span><span class="p">]:</span>
<span class="n">fc</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'fc'</span><span class="p">,</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'facecolor'</span><span class="p">,</span> <span class="s1">'#bfd1d4'</span><span class="p">))</span>
<span class="n">lw</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'lw'</span><span class="p">,</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'linewidth'</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">))</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">fc</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'fc'</span><span class="p">,</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'facecolor'</span><span class="p">,</span> <span class="kc">None</span><span class="p">))</span>
<span class="n">lw</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'lw'</span><span class="p">,</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="s1">'linewidth'</span><span class="p">,</span> <span class="kc">None</span><span class="p">))</span>
<span class="k">if</span> <span class="n">fc</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">fc</span> <span class="o">=</span> <span class="nb">next</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">_get_patches_for_fill</span><span class="o">.</span><span class="n">prop_cycler</span><span class="p">)[</span><span class="s1">'color'</span><span class="p">]</span>
<span class="n">patch</span> <span class="o">=</span> <span class="n">PathPatch</span><span class="p">(</span><span class="n">Path</span><span class="p">(</span><span class="n">vertices</span><span class="p">,</span> <span class="n">codes</span><span class="p">),</span> <span class="n">fc</span><span class="o">=</span><span class="n">fc</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="n">lw</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">add_patch</span><span class="p">(</span><span class="n">patch</span><span class="p">)</span>
<span class="c1"># Add the path labels.</span>
<span class="n">texts</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">number</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="n">label</span><span class="p">,</span> <span class="n">location</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">flows</span><span class="p">,</span> <span class="n">angles</span><span class="p">,</span> <span class="n">labels</span><span class="p">,</span>
<span class="n">label_locations</span><span class="p">):</span>
<span class="k">if</span> <span class="n">label</span> <span class="ow">is</span> <span class="kc">None</span> <span class="ow">or</span> <span class="n">angle</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">label</span> <span class="o">=</span> <span class="s1">''</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">unit</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">quantity</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">format</span> <span class="o">%</span> <span class="nb">abs</span><span class="p">(</span><span class="n">number</span><span class="p">)</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">unit</span>
<span class="k">if</span> <span class="n">label</span> <span class="o">!=</span> <span class="s1">''</span><span class="p">:</span>
<span class="n">label</span> <span class="o">+=</span> <span class="s2">"</span><span class="se">\n</span><span class="s2">"</span>
<span class="n">label</span> <span class="o">+=</span> <span class="n">quantity</span>
<span class="n">texts</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="n">x</span><span class="o">=</span><span class="n">location</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">y</span><span class="o">=</span><span class="n">location</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span>
<span class="n">s</span><span class="o">=</span><span class="n">label</span><span class="p">,</span>
<span class="n">ha</span><span class="o">=</span><span class="s1">'center'</span><span class="p">,</span> <span class="n">va</span><span class="o">=</span><span class="s1">'center'</span><span class="p">))</span>
<span class="c1"># Text objects are placed even they are empty (as long as the magnitude</span>
<span class="c1"># of the corresponding flow is larger than the tolerance) in case the</span>
<span class="c1"># user wants to provide labels later.</span>
<span class="c1"># Expand the size of the diagram if necessary.</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span> <span class="o">=</span> <span class="p">(</span><span class="nb">min</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">vertices</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">min</span><span class="p">(</span><span class="n">label_locations</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">]),</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">0</span><span class="p">]),</span>
<span class="nb">max</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">vertices</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">max</span><span class="p">(</span><span class="n">label_locations</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">]),</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span>
<span class="nb">min</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">vertices</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">]),</span>
<span class="n">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">label_locations</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">]),</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">2</span><span class="p">]),</span>
<span class="nb">max</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">vertices</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">]),</span>
<span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">label_locations</span><span class="p">[:,</span> <span class="mi">1</span><span class="p">]),</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">3</span><span class="p">]))</span>
<span class="c1"># Include both vertices _and_ label locations in the extents; there are</span>
<span class="c1"># where either could determine the margins (e.g., arrow shoulders).</span>
<span class="c1"># Add this diagram as a subdiagram.</span>
<span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span><span class="o">.</span><span class="n">append</span><span class="p">(</span>
<span class="n">SimpleNamespace</span><span class="p">(</span><span class="n">patch</span><span class="o">=</span><span class="n">patch</span><span class="p">,</span> <span class="n">flows</span><span class="o">=</span><span class="n">flows</span><span class="p">,</span> <span class="n">angles</span><span class="o">=</span><span class="n">angles</span><span class="p">,</span> <span class="n">tips</span><span class="o">=</span><span class="n">tips</span><span class="p">,</span>
<span class="n">text</span><span class="o">=</span><span class="n">text</span><span class="p">,</span> <span class="n">texts</span><span class="o">=</span><span class="n">texts</span><span class="p">))</span>
<span class="c1"># Allow a daisy-chained call structure (see docstring for the class).</span>
<span class="k">return</span> <span class="bp">self</span></div>
<div class="viewcode-block" id="Sankey.finish"><a class="viewcode-back" href="../../api/sankey_api.html#matplotlib.sankey.Sankey.finish">[docs]</a> <span class="k">def</span> <span class="nf">finish</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Adjust the axes and return a list of information about the Sankey</span>
<span class="sd"> subdiagram(s).</span>
<span class="sd"> Return value is a list of subdiagrams represented with the following</span>
<span class="sd"> fields:</span>
<span class="sd"> =============== ===================================================</span>
<span class="sd"> Field Description</span>
<span class="sd"> =============== ===================================================</span>
<span class="sd"> *patch* Sankey outline (an instance of</span>
<span class="sd"> :class:`~matplotlib.patches.PathPatch`)</span>
<span class="sd"> *flows* values of the flows (positive for input, negative</span>
<span class="sd"> for output)</span>
<span class="sd"> *angles* list of angles of the arrows [deg/90]</span>
<span class="sd"> For example, if the diagram has not been rotated,</span>
<span class="sd"> an input to the top side will have an angle of 3</span>
<span class="sd"> (DOWN), and an output from the top side will have</span>
<span class="sd"> an angle of 1 (UP). If a flow has been skipped</span>
<span class="sd"> (because its magnitude is less than *tolerance*),</span>
<span class="sd"> then its angle will be *None*.</span>
<span class="sd"> *tips* array in which each row is an [x, y] pair</span>
<span class="sd"> indicating the positions of the tips (or "dips") of</span>
<span class="sd"> the flow paths</span>
<span class="sd"> If the magnitude of a flow is less the *tolerance*</span>
<span class="sd"> for the instance of :class:`Sankey`, the flow is</span>
<span class="sd"> skipped and its tip will be at the center of the</span>
<span class="sd"> diagram.</span>
<span class="sd"> *text* :class:`~matplotlib.text.Text` instance for the</span>
<span class="sd"> label of the diagram</span>
<span class="sd"> *texts* list of :class:`~matplotlib.text.Text` instances</span>
<span class="sd"> for the labels of flows</span>
<span class="sd"> =============== ===================================================</span>
<span class="sd"> See Also</span>
<span class="sd"> --------</span>
<span class="sd"> Sankey.add</span>
<span class="sd"> """</span>
<span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">margin</span><span class="p">,</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">margin</span><span class="p">,</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">margin</span><span class="p">,</span>
<span class="bp">self</span><span class="o">.</span><span class="n">extent</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">margin</span><span class="p">])</span>
<span class="bp">self</span><span class="o">.</span><span class="n">ax</span><span class="o">.</span><span class="n">set_aspect</span><span class="p">(</span><span class="s1">'equal'</span><span class="p">,</span> <span class="n">adjustable</span><span class="o">=</span><span class="s1">'datalim'</span><span class="p">)</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">diagrams</span></div></div>
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