2 // sets of states)  | 
     2 // sets of states)  | 
     3 //  | 
     3 //  | 
     4 // needs :load dfa.scala   for states  | 
     4 // needs :load dfa.scala   for states  | 
     5   | 
     5   | 
     6   | 
     6   | 
     7 // type abbreviation for partial functions  | 
     7 // a type abbreviation for partial functions  | 
     8 type :=>[A, B] = PartialFunction[A, B]  | 
     8 type :=>[A, B] = PartialFunction[A, B]  | 
     9   | 
     9   | 
    10 // return an empty set, when parial function is not defined  | 
    10 // return an empty set, when a parial function is not defined  | 
    11 def applyOrElse[A, B](f: A :=> Set[B], x: A) : Set[B] =  | 
    11 def applyOrElse[A, B](f: A :=> Set[B], x: A) : Set[B] =  | 
    12   Try(f(x)) getOrElse Set[B]()  | 
    12   Try(f(x)) getOrElse Set[B]()  | 
    13   | 
    13   | 
    14   | 
    14   | 
    15 // NFAs  | 
    15 // NFAs  | 
    16 case class NFA[A, C](starts: Set[A],           // starting states  | 
    16 case class NFA[A, C](starts: Set[A],           // the starting states  | 
    17                      delta: (A, C) :=> Set[A], // transition function  | 
    17                      delta: (A, C) :=> Set[A], // the transition function  | 
    18                      fins:  A => Boolean) {    // final states  | 
    18                      fins:  A => Boolean) {    // the final states  | 
    19   | 
    19   | 
    20   // given a state and a character, what is the set of   | 
    20   // given a state and a character, what is the set of   | 
    21   // next states? if there is none => empty set  | 
    21   // next states? if there is none => empty set  | 
    22   def next(q: A, c: C) : Set[A] =   | 
    22   def next(q: A, c: C) : Set[A] =   | 
    23     applyOrElse(delta, (q, c))  | 
    23     applyOrElse(delta, (q, c))  |