diff -r bd6d999ab7b6 -r 8178fcf377dc progs/thompson.scala --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/progs/thompson.scala Tue Apr 25 12:33:16 2017 +0100 @@ -0,0 +1,51 @@ +// eNFA that does not accept any string +def eNFA_ZERO(): NFA[TState, Char] = { + val Q = TState() + NFA(Set(Q), { case _ => Set() }, Set()) +} + +// eNFA that accepts the empty string +def eNFA_ONE() : NFA[TState, Char] = { + val Q = TState() + NFA(Set(Q), { case _ => Set() }, Set(Q)) +} + +// eNFA that accepts the string "c" +def eNFA_CHAR(c: Char) : NFA[TState, Char] = { + val Q1 = TState() + val Q2 = TState() + NFA(Set(Q1), { case (Q1, d) if (c == d) => Set(Q2) }, Set(Q2)) +} + +// alternative of two eNFAs +def eNFA_ALT(enfa1: NFA[TState, Char], enfa2: NFA[TState, Char]) : NFA[TState, Char] = { + 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 andAlso enfa1.delta andAlso enfa2.delta, + new_fins) +} + +// sequence of two eNFAs +def eNFA_SEQ(enfa1: NFA[TState, Char], enfa2: NFA[TState, Char]) : NFA[TState, Char] = { + val new_delta : eNFAtrans = + { case (q, None) if enfa1.fins(q) => enfa2.starts } + + eNFA(enfa1.starts, + new_delta andAlso enfa1.delta andAlso enfa2.delta, + enfa2.fins) +} + +// star of an eNFA +def eNFA_STAR(enfa: NFA[TState, Char]) : NFA[TState, Char] = { + 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 andAlso enfa.delta, Set(Q)) +}