Is it valid to reduce on an empty set of sets?

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Shouldn't this work?

> val setOfSets = Set[Set[String]]()    
setOfSets: scala.collection.immutable.Set[Set[String]] = Set()

> setOfSets reduce (_ union _)
java.lang.UnsupportedOperationException: empty.reduceLeft
  at scala.collection.TraversableOnce$class.reduceLeft(TraversableOnce.scala:152)
  [...]
3 Answers

Starting Scala 2.9, most collections are now provided with the reduceOption function (as an equivalent to reduce) which supports the case of empty sequences by returning an Option of the result:

Set[Set[String]]().reduceOption(_ union _)
// Option[Set[String]] = None
Set[Set[String]]().reduceOption(_ union _).getOrElse(Set())
// Set[String] = Set()
Set(Set(1, 2, 3), Set(2, 3, 4), Set(5)).reduceOption(_ union _).getOrElse(Set())
// Set[Int] = Set(5, 1, 2, 3, 4)
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