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Module for creating Sankey diagrams using matplotlib
s Kevin L. Daviess
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Sankey diagram in matplotlib
Sankey diagrams are a specific type of flow diagram, in which
the width of the arrows is shown proportionally to the flow
quantity. They are typically used to visualize energy or
material or cost transfers between processes.
`Wikipedia (6/1/2011) <http://en.wikipedia.org/wiki/Sankey_diagram>`_
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Return the codes and vertices for a rotated, scaled, and translated
90 degree arc.
Optional keyword arguments:
=============== ==========================================
Keyword Description
=============== ==========================================
*quadrant* uses 0-based indexing (0, 1, 2, or 3)
*cw* if True, clockwise
*center* (x, y) tuple of the arc's center
=============== ==========================================
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Add an input to a path and return its tip and label locations.
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Append an output to a path and return its tip and label locations.
Note: *flow* is negative for an output.
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Add a simple Sankey diagram with flows at the same hierarchical level.
Return value is the instance of :class:`Sankey`.
Optional keyword arguments:
=============== ===================================================
Keyword Description
=============== ===================================================
*patchlabel* label to be placed at the center of the diagram
Note: *label* (not *patchlabel*) will be passed to
the patch through ``**kwargs`` and can be used to
create an entry in the legend.
*flows* array of flow values
By convention, inputs are positive and outputs are
negative.
*orientations* list of orientations of the paths
Valid values are 1 (from/to the top), 0 (from/to
the left or right), or -1 (from/to the bottom). If
*orientations* == 0, inputs will break in from the
left and outputs will break away to the right.
*labels* list of specifications of the labels for the flows
Each value may be None (no labels), '' (just label
the quantities), or a labeling string. If a single
value is provided, it will be applied to all flows.
If an entry is a non-empty string, then the
quantity for the corresponding flow will be shown
below the string. However, if the *unit* of the
main diagram is None, then quantities are never
shown, regardless of the value of this argument.
*trunklength* length between the bases of the input and output
groups
*pathlengths* list of lengths of the arrows before break-in or
after break-away
If a single value is given, then it will be applied
to the first (inside) paths on the top and bottom,
and the length of all other arrows will be
justified accordingly. The *pathlengths* are not
applied to the horizontal inputs and outputs.
*prior* index of the prior diagram to which this diagram
should be connected
*connect* a (prior, this) tuple indexing the flow of the
prior diagram and the flow of this diagram which
should be connected
If this is the first diagram or *prior* is None,
*connect* will be ignored.
*rotation* angle of rotation of the diagram [deg]
*rotation* is ignored if this diagram is connected
to an existing one (using *prior* and *connect*).
The interpretation of the *orientations* argument
will be rotated accordingly (e.g., if *rotation*
== 90, an *orientations* entry of 1 means to/from
the left).
=============== ===================================================
Valid kwargs are :meth:`matplotlib.patches.PathPatch` arguments:
%(Patch)s
As examples, ``fill=False`` and ``label='A legend entry'``.
By default, ``facecolor='#bfd1d4'`` (light blue) and
``linewidth=0.5``.
The indexing parameters (*prior* and *connect*) are zero-based.
The flows are placed along the top of the diagram from the inside out
in order of their index within the *flows* list or array. They are
placed along the sides of the diagram from the top down and along the
bottom from the outside in.
If the the sum of the inputs and outputs is nonzero, the discrepancy
will appear as a cubic Bezier curve along the top and bottom edges of
the trunk.
.. seealso::
:meth:`finish`
g �?g �i g �V@sf orientations and flows must have the same length.
orientations has length %d, but flows has length %d.R8 t __iter__st If labels is a list, then labels and flows must have the same length.
labels has length %d, but flows has length %d.sP trunklength is negative.
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Is the system not at steady state?t helpfulc s s | ] } t | d � Vq d S( i N( t max( t .0R% ( ( s7 /usr/lib64/python2.7/site-packages/matplotlib/sankey.pys <genexpr>l s c s s | ] } t | d � Vq d S( i N( t min( R< R% ( ( s7 /usr/lib64/python2.7/site-packages/matplotlib/sankey.pys <genexpr>m s g �?g @s� The scaled sum of the inputs is %f.
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Consider changing the scale so that the scaled sum is approximately 1.0.s+ The index of the prior diagram is negative.s3 At least one of the connection indices is negative.sd The index of the prior diagram is %d, but there are only %d other diagrams.
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It will not be shown, and it cannot be used in a connection.i����s@ The value of orientations[%d] is %d, but it must be -1, 0, or 1.s� If pathlengths is a list, then pathlengths and flows must have the same length.
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Adjust the axes and return a list of information about the Sankey
subdiagram(s).
Return value is a list of subdiagrams represented with the following
fields:
=============== ===================================================
Field Description
=============== ===================================================
*patch* Sankey outline (an instance of
:class:`~maplotlib.patches.PathPatch`)
*flows* values of the flows (positive for input, negative
for output)
*angles* list of angles of the arrows [deg/90]
For example, if the diagram has not been rotated,
an input to the top side will have an angle of 3
(DOWN), and an output from the top side will have
an angle of 1 (UP). If a flow has been skipped
(because its magnitude is less than *tolerance*),
then its angle will be None.
*tips* array in which each row is an [x, y] pair
indicating the positions of the tips (or "dips") of
the flow paths
If the magnitude of a flow is less the *tolerance*
for the instance of :class:`Sankey`, the flow is
skipped and its tip will be at the center of the
diagram.
*text* :class:`~matplotlib.text.Text` instance for the
label of the diagram
*texts* list of :class:`~matplotlib.text.Text` instances
for the labels of flows
=============== ===================================================
.. seealso::
:meth:`add`
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Create a new Sankey instance.
Optional keyword arguments:
=============== ===================================================
Field Description
=============== ===================================================
*ax* axes onto which the data should be plotted
If *ax* isn't provided, new axes will be created.
*scale* scaling factor for the flows
*scale* sizes the width of the paths in order to
maintain proper layout. The same scale is applied
to all subdiagrams. The value should be chosen
such that the product of the scale and the sum of
the inputs is approximately 1.0 (and the product of
the scale and the sum of the outputs is
approximately -1.0).
*unit* string representing the physical unit associated
with the flow quantities
If *unit* is None, then none of the quantities are
labeled.
*format* a Python number formatting string to be used in
labeling the flow as a quantity (i.e., a number
times a unit, where the unit is given)
*gap* space between paths that break in/break away
to/from the top or bottom
*radius* inner radius of the vertical paths
*shoulder* size of the shoulders of output arrowS
*offset* text offset (from the dip or tip of the arrow)
*head_angle* angle of the arrow heads (and negative of the angle
of the tails) [deg]
*margin* minimum space between Sankey outlines and the edge
of the plot area
*tolerance* acceptable maximum of the magnitude of the sum of
flows
The magnitude of the sum of connected flows cannot
be greater than *tolerance*.
=============== ===================================================
The optional arguments listed above are applied to all subdiagrams so
that there is consistent alignment and formatting.
If :class:`Sankey` is instantiated with any keyword arguments other
than those explicitly listed above (``**kwargs``), they will be passed
to :meth:`add`, which will create the first subdiagram.
In order to draw a complex Sankey diagram, create an instance of
:class:`Sankey` by calling it without any kwargs::
sankey = Sankey()
Then add simple Sankey sub-diagrams::
sankey.add() # 1
sankey.add() # 2
#...
sankey.add() # n
Finally, create the full diagram::
sankey.finish()
Or, instead, simply daisy-chain those calls::
Sankey().add().add... .add().finish()
.. seealso::
:meth:`add`
:meth:`finish`
**Examples:**
.. plot:: mpl_examples/api/sankey_demo_basics.py
i sT The gap is negative.
This isn't allowed because it would cause the paths to overlap.sr The inner radius is greater than the path spacing.
This isn't allowed because it would cause the paths to overlap.sl The angle is negative.
This isn't allowed because it would cause inputs to look like outputs and vice versa.s2 The tolerance is negative.
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