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es.weso.utils

SetUtils

object SetUtils

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  15. def pSet[A](set: Set[A]): LazyList[(Set[A], Set[A])]

    Tail recursive pSet pSet s generates the power set of s, pairing each subset with its complement.

    Tail recursive pSet pSet s generates the power set of s, pairing each subset with its complement. Example: pSet(Set(1,2)) = Stream((Set(1,2),Set()),(Set(1),Set(2)),(Set(2),Set(1)),(Set(),Set(1,2))).

  16. def partition[A](set: Set[A], n: Int): LazyList[List[Set[A]]]

    paritition of a set in n sets whose union give that set again Example: partition(Set(1,2),2) = Stream( List(Set(1, 2), Set[Int]()), List(Set(2), Set(1)), List(Set(1), Set(2)), List(Set[Int](), Set(1, 2)) )

    paritition of a set in n sets whose union give that set again Example: partition(Set(1,2),2) = Stream( List(Set(1, 2), Set[Int]()), List(Set(2), Set(1)), List(Set(1), Set(2)), List(Set[Int](), Set(1, 2)) )

    partition(Set(1,2),3) = Stream( List(Set(1, 2), Set[Int](), Set[Int]()), List(Set(2), Set(1), Set[Int]()), List(Set(2), Set[Int](), Set(1)), List(Set(1), Set(2), Set[Int]()), List(Set(1), Set[Int](), Set(2)), List(Set[Int](), Set(1, 2), Set[Int]()), List(Set[Int](), Set(2), Set(1)), List(Set[Int](), Set(1), Set(2)), List(Set[Int](), Set[Int](), Set(1, 2)) )

    A

    type of values

    set

    set of elements

    n

    number of sets to generate

    returns

    a list of sets

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