progs/display/thompson1.scala
author Christian Urban <urbanc@in.tum.de>
Sun, 07 May 2017 00:20:58 +0100
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// Thompson Construction (Part 1)
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// (needs  :load nfa.scala
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//         :load enfa.scala)
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// states for Thompson construction
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case class TState(i: Int) extends State
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object TState {
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  var counter = 0
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  def apply() : TState = {
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    counter += 1;
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    new TState(counter - 1)
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  }
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}
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// a type abbreviation
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type NFAt = NFA[TState, Char]
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// a NFA that does not accept any string
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def NFA_ZERO(): NFAt = {
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  val Q = TState()
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  NFA(Set(Q), { case _ => Set() }, Set())
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}
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// a NFA that accepts the empty string
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def NFA_ONE() : NFAt = {
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  val Q = TState()
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  NFA(Set(Q), { case _ => Set() }, Set(Q))
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}
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// a NFA that accepts the string "c"
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def NFA_CHAR(c: Char) : NFAt = {
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  val Q1 = TState()
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  val Q2 = TState()
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  NFA(Set(Q1), { case (Q1, d) if (c == d) => Set(Q2) }, Set(Q2))
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}