Area-Proportional Euler Diagrams

If possible, generates exactly area-proportional Euler diagrams, or otherwise approximately proportional diagrams using numerical optimization. A Euler diagram is a generalization of a Venn diagram, relaxing the criterion that all interactions need to be represented.

eulerr

eulerr generates area-proportional euler diagrams that display set relationships (intersections, unions, and disjoints) with circles. Euler diagrams are Venn diagrams without the requirement that all set interactions be present (whether they are empty or not). That is, depending on input, eulerr will sometimes produce Venn diagrams but sometimes not.

With three or more sets intersecting, exact euler diagrams are often impossible. For such cases eulerr attempts to provide the best approximation possible by numerically tuning the circles' positions and radiuses so that the sum of squared errors is minimized.

When solutions are approximate, residuals and error statistics are provided to assess whether the resulting diagram can be trusted.

Installation

The CRAN version can be installed by running

install.packages("eulerr")

The development version can be installed by running

devtools::install_github("jolars/eulerr")

Usage

library(eulerr)
sets <- c("A" = 10, "B" = 9, "C" = 4,
          "A&B" = 2, "A&C" = 3, "B&C" = 3,
          "A&B&C" = 2)
set.seed(1)
fit <- eulerr(sets)

We can inspect the solution

fit
#> A           10  9.999     0.001        0.000
#> B            9  8.999     0.001        0.000
#> C            4  4.013    -0.013        0.000
#> A&B          2  2.026    -0.026        0.001
#> A&C          3  2.994     0.006        0.000
#> B&C          3  2.994     0.006        0.000
#> A&B&C        2  1.975     0.025        0.001
#> 
#> diagError:  0.001 
#> stress:     0

and plot it using plot.

plot(fit)

Please see the introductory vignette for usage details.

License

eulerr is open source software, licensed under GPL-3.

Code of conduct

Please note that this project is released with a Contributor Code of Conduct. By participating in this project you agree to abide by its terms.

Thanks

eulerr would not be possible without Ben Fredrickson's work on venn.js or Leland Wilkinson's venneuler.