diff -r 47f86885d481 -r e85600529ca5 scala/matcher.scala --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/scala/matcher.scala Sat Jun 15 09:11:11 2013 -0400 @@ -0,0 +1,130 @@ +package object matcher { + +// regular expressions +// including constructors for NOT and ALLC +sealed abstract class Rexp + +case object NULL extends Rexp +case object EMPTY extends Rexp +case object ALLC extends Rexp // recognises any character +case class CHAR(c: Char) extends Rexp +case class ALT(r1: Rexp, r2: Rexp) extends Rexp +case class SEQ(r1: Rexp, r2: Rexp) extends Rexp +case class STAR(r: Rexp) extends Rexp +case class NOT(r: Rexp) extends Rexp // negation of a regular expression + + +// nullable function: tests whether the regular +// expression can recognise the empty string +def nullable (r: Rexp) : Boolean = r match { + case NULL => false + case EMPTY => true + case ALLC => false + case CHAR(_) => false + case ALT(r1, r2) => nullable(r1) || nullable(r2) + case SEQ(r1, r2) => nullable(r1) && nullable(r2) + case STAR(_) => true + case NOT(r) => !(nullable(r)) +} + +// tests whether a regular expression +// cannot recognise more +def no_more (r: Rexp) : Boolean = r match { + case NULL => true + case EMPTY => false + case ALLC => false + case CHAR(_) => false + case ALT(r1, r2) => no_more(r1) && no_more(r2) + case SEQ(r1, r2) => if (nullable(r1)) (no_more(r1) && no_more(r2)) else no_more(r1) + case STAR(_) => false + case NOT(r) => !(no_more(r)) +} + + +// derivative of a regular expression w.r.t. a character +def der (c: Char, r: Rexp) : Rexp = r match { + case NULL => NULL + case EMPTY => NULL + case ALLC => EMPTY + case CHAR(d) => if (c == d) EMPTY else NULL + case ALT(r1, r2) => ALT(der(c, r1), der(c, r2)) + case SEQ(r1, r2) => + if (nullable(r1)) ALT(SEQ(der(c, r1), r2), der(c, r2)) + else SEQ(der(c, r1), r2) + case STAR(r) => SEQ(der(c, r), STAR(r)) + case NOT(r) => NOT(der (c, r)) +} + +// main class for the tokenizer +case class Tokenizer[T](rules: List[(Rexp, List[Char] => T)], excl: List[T] = Nil) { + +def munch(r: Rexp, action: List[Char] => T, s: List[Char], t: List[Char]) : Option[(List[Char], T)] = + s match { + case Nil if (nullable(r)) => Some(Nil, action(t)) + case Nil => None + case c::s if (no_more(der (c, r)) && nullable(r)) => Some(c::s, action(t)) + case c::s if (no_more(der (c, r))) => None + case c::s => munch(der (c, r), action, s, t ::: List(c)) + } + +def one_token(s: List[Char]) : Either[(List[Char], T), String] = { + val somes = rules.map { (r) => munch(r._1, r._2, s, Nil) }.flatten + if (somes == Nil) Right(s.mkString) + else Left(somes sortBy (_._1.length) head) +} + +def tokenize(cs: List[Char]) : List[T] = cs match { + case Nil => Nil + case _ => one_token(cs) match { + case Left((rest, token)) => token :: tokenize(rest) + case Right(s) => { println("Cannot tokenize: \"" + s + "\""); Nil } + } +} + +def fromString(s: String) : List[T] = + tokenize(s.toList).filterNot(excl.contains(_)) + +def fromFile(name: String) : List[T] = + fromString(io.Source.fromFile(name).mkString) + +} + + +// regular expression for specifying +// ranges of characters +def Range(s : List[Char]) : Rexp = s match { + case Nil => NULL + case c::Nil => CHAR(c) + case c::s => ALT(CHAR(c), Range(s)) +} +def RANGE(s: String) = Range(s.toList) + + +// one or more +def PLUS(r: Rexp) = SEQ(r, STAR(r)) + +// many alternatives +def Alts(rs: List[Rexp]) : Rexp = rs match { + case Nil => NULL + case r::Nil => r + case r::rs => ALT(r, Alts(rs)) +} +def ALTS(rs: Rexp*) = Alts(rs.toList) + +// repetitions +def Seqs(rs: List[Rexp]) : Rexp = rs match { + case Nil => NULL + case r::Nil => r + case r::rs => SEQ(r, Seqs(rs)) +} +def SEQS(rs: Rexp*) = Seqs(rs.toList) + +// some convenience for typing in regular expressions +def charlist2rexp(s : List[Char]) : Rexp = s match { + case Nil => EMPTY + case c::Nil => CHAR(c) + case c::s => SEQ(CHAR(c), charlist2rexp(s)) +} +implicit def string2rexp(s : String) : Rexp = charlist2rexp(s.toList) + +}