Empty partial function in Scala

Map is a PartialFunction so you can do:

val undefined: PartialFunction[Any, Nothing] = Map.empty

Since Scala 2.10 you can use:

val emptyPf = PartialFunction.empty[String, String]

scala> def pfEmpty[A, B] = new PartialFunction[A, B] {
     |   def apply(a: A): B = sys.error("Not supported")
     |   def isDefinedAt(a: A) = false
     | }
pfEmpty: [A, B]=> java.lang.Object with PartialFunction[A,B]

scala> val f = pfEmpty[String, String]
f: java.lang.Object with PartialFunction[String,String] = <function1>

scala> f.lift
res26: (String) => Option[String] = <function1>

scala> res26("Hola")
res27: Option[String] = None

As @didierd said in the comments, due to argument variances, a single instance can cover all possible argument types.

scala> object Undefined extends PartialFunction[Any, Nothing] {
     |   def isDefinedAt(a: Any) = false
     |   def apply(a: Any): Nothing = sys.error("undefined")
     | }
defined module Undefined

scala> val f: PartialFunction[String, String] = Undefined
f: PartialFunction[String,String] = <function1>

scala> f.lift apply "Hola"
res29: Option[String] = None