powerset: Calculate a Set's Powerset
In set6: R6 Mathematical Sets Interface

Description Usage Arguments Details Value See Also Examples

Calculates and returns the powerset of a Set.

1	powerset(x, simplify = FALSE)

`x`	Set
`simplify`	logical, if `TRUE` then tries to simplify the result to a `Set` otherwise creates an object of class PowersetSet.

A powerset of a set, S, is defined as the set of all subsets of S, including S itself and the empty set.

Set

Other operators: setcomplement(), setintersect(), setpower(), setproduct(), setsymdiff(), setunion()

# simplify = FALSE is default
powerset(Set$new(1, 2))
powerset(Set$new(1, 2), simplify = TRUE)

# powerset of intervals
powerset(Interval$new())

# powerset of powersets
powerset(powerset(Reals$new()))
powerset(powerset(Reals$new()))$properties$cardinality