Use a dictionary like var unique = [<yourtype>:Bool]() and fill in the values like unique[<array value>] = true in a loop. Now unique.keys has what you need.
This has the downside of requiring the contents of the sequence to be hashable, not just equatable, but then again most equatable things are, including strings.
It also preserves the original ordering unlike, say, putting the contents in a dictionary or set and then getting them back out again.