Venn diagram plotting routines for Python/Matplotlib

Routines for plotting area-weighted two- and three-circle venn diagrams.

Installation

Install the package as usual via pip:

$ python -m pip install matplotlib-venn

Dependencies

• numpy,
• scipy,
• matplotlib.

Usage

The package provides four main functions: venn2, venn2_circles, venn3 and venn3_circles.

The functions venn2 and venn2_circles accept as their only required argument a 3-element tuple (Ab, aB, AB) of subset sizes, and draw a two-circle venn diagram with respective region areas, e.g.:

venn2(subsets = (3, 2, 1))

In this example, the region, corresponding to subset A and not B will be three times larger in area than the region, corresponding to subset A and B.

You can also provide a tuple of two set or Counter (i.e. multi-set) objects instead (new in version 0.7), e.g.:

venn2((set(['A', 'B', 'C', 'D']), set(['D', 'E', 'F'])))

Similarly, the functions venn3 and venn3_circles take a 7-element tuple of subset sizes (Abc, aBc, ABc, abC, AbC, aBC, ABC), and draw a three-circle area-weighted venn diagram. Alternatively, a tuple of three set or Counter objects may be provided.

The functions venn2 and venn3 draw the diagrams as a collection of colored patches, annotated with text labels. The functions venn2_circles and venn3_circles draw just the circles.

Sometimes the area weighing needs to be disabled or manually tuned to achieve a visually better result. This can be achieved as follows:

from matplotlib_venn.layout.venn2 import DefaultLayoutAlgorithm
venn2((1,2,3), layout_algorithm=DefaultLayoutAlgorithm(fixed_subset_sizes=(1,1,1)))

from matplotlib_venn.layout.venn3 import DefaultLayoutAlgorithm
venn3((7,6,5,4,3,2,1), layout_algorithm=DefaultLayoutAlgorithm(fixed_subset_sizes=(1,1,1,1,1,1,1)))

Note that for a three-circle venn diagram it is not in general possible to achieve exact correspondence between the required set sizes and region areas, however in most cases the picture will still provide a useful representation.

The functions venn2_circles and venn3_circles return the list of matplotlib.patch.Circle objects that may be tuned further to your liking. The functions venn2 and venn3 return an object of class VennDiagram, which gives access to constituent patches, text elements, and (since version 0.7) the information about the centers and radii of the circles.

Basic Example:

from matplotlib_venn import venn2
venn2(subsets = (3, 2, 1))

For the three-circle case:

from matplotlib_venn import venn3
venn3(subsets = (1, 1, 1, 2, 1, 2, 2), set_labels = ('Set1', 'Set2', 'Set3'))

A more elaborate example:

from matplotlib import pyplot as plt
import numpy as np
from matplotlib_venn import venn3, venn3_circles
plt.figure(figsize=(4,4))
v = venn3(subsets=(1, 1, 1, 1, 1, 1, 1), set_labels = ('A', 'B', 'C'))
v.get_patch_by_id('100').set_alpha(1.0)
v.get_patch_by_id('100').set_color('white')
v.get_label_by_id('100').set_text('Unknown')
v.get_label_by_id('A').set_text('Set "A"')
c = venn3_circles(subsets=(1, 1, 1, 1, 1, 1, 1), linestyle='dashed')
c[0].set_lw(1.0)
c[0].set_ls('dotted')
plt.title("Sample Venn diagram")
plt.annotate('Unknown set', xy=v.get_label_by_id('100').get_position() - np.array([0, 0.05]), xytext=(-70,-70),
             ha='center', textcoords='offset points', bbox=dict(boxstyle='round,pad=0.5', fc='gray', alpha=0.1),
             arrowprops=dict(arrowstyle='->', connectionstyle='arc3,rad=0.5',color='gray'))
plt.show()

An example with multiple subplots:

from matplotlib_venn import venn2, venn2_circles
figure, axes = plt.subplots(2, 2)
venn2(subsets={'10': 1, '01': 1, '11': 1}, set_labels = ('A', 'B'), ax=axes[0][0])
venn2_circles((1, 2, 3), ax=axes[0][1])
venn3(subsets=(1, 1, 1, 1, 1, 1, 1), set_labels = ('A', 'B', 'C'), ax=axes[1][0])
venn3_circles({'001': 10, '100': 20, '010': 21, '110': 13, '011': 14}, ax=axes[1][1])
plt.show()

Perhaps the most common use case is generating a Venn diagram given three sets of objects:

set1 = set(['A', 'B', 'C', 'D'])
set2 = set(['B', 'C', 'D', 'E'])
set3 = set(['C', 'D',' E', 'F', 'G'])

venn3([set1, set2, set3], ('Set1', 'Set2', 'Set3'))
plt.show()

Questions

• If you ask your questions at StackOverflow and tag them matplotlib-venn, chances are high you could get an answer from the maintainer of this package.

See also

• Report issues and submit fixes at Github: https://github.com/konstantint/matplotlib-venn

  Check out the DEVELOPER-README.rst for development-related notes.

• Some alternative means of plotting a Venn diagram (as of October 2012) are reviewed in the blog post: http://fouryears.eu/2012/10/13/venn-diagrams-in-python/

• The matplotlib-subsets package visualizes a hierarchy of sets as a tree of rectangles.

• The matplotlib_venn_wordcloud package combines Venn diagrams with word clouds for a pretty amazing (and amusing) result.