diff -r 8178fcf377dc -r a697421eaa04 progs/display/thompson2.scala --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/progs/display/thompson2.scala Fri Apr 28 11:01:25 2017 +0100 @@ -0,0 +1,44 @@ +// Thompson Construction (Part 2) + +// some more types abbreviations +type NFAtrans = (TState, Char) :=> Set[TState] +type eNFAtrans = (TState, Option[Char]) :=> Set[TState] + + +// for composing an eNFA transition with a NFA transition +implicit class RichPF(val f: eNFAtrans) extends AnyVal { + def +++(g: NFAtrans) : eNFAtrans = + { case (q, None) => applyOrElse(f, (q, None)) + case (q, Some(c)) => + applyOrElse(f, (q, Some(c))) | applyOrElse(g, (q, c)) } +} + +// sequence of two NFAs +def NFA_SEQ(enfa1: NFAt, enfa2: NFAt) : NFAt = { + val new_delta : eNFAtrans = + { case (q, None) if enfa1.fins(q) => enfa2.starts } + + eNFA(enfa1.starts, new_delta +++ enfa1.delta +++ enfa2.delta, + enfa2.fins) +} + +// alternative of two NFAs +def NFA_ALT(enfa1: NFAt, enfa2: NFAt) : NFAt = { + val Q = TState() + val new_delta : eNFAtrans = + { case (Q, None) => enfa1.starts | enfa2.starts } + val new_fins = (q: TState) => enfa1.fins(q) || enfa2.fins(q) + + eNFA(Set(Q), new_delta +++ enfa1.delta +++ enfa2.delta, + new_fins) +} + +// star of a NFA +def NFA_STAR(enfa: NFAt) : NFAt = { + val Q = TState() + val new_delta : eNFAtrans = + { case (Q, None) => enfa.starts + case (q, None) if enfa.fins(q) => Set(Q) } + + eNFA(Set(Q), new_delta +++ enfa.delta, Set(Q)) +}