diff -r 47f86885d481 -r e85600529ca5 re2.scala --- a/re2.scala Sun Dec 23 00:38:56 2012 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,100 +0,0 @@ - -abstract class Rexp { - def simp : Rexp = this -} - -case object NULL extends Rexp -case object EMPTY extends Rexp -case class CHAR(c: Char) extends Rexp -case class ALT(r1: Rexp, r2: Rexp) extends Rexp { - override def simp = (r1.simp, r2.simp) match { - case (NULL, r) => r - case (r, NULL) => r - case (r, EMPTY) => if (nullable(r)) r else ALT(r, EMPTY) - case (EMPTY, r) => if (nullable(r)) r else ALT(r, EMPTY) - case (r1, r2) => if (r1 == r2) r1 else ALT(r1, r2) - } -} -case class SEQ(r1: Rexp, r2: Rexp) extends Rexp { - override def simp = (r1.simp, r2.simp) match { - case (NULL, _) => NULL - case (_, NULL) => NULL - case (EMPTY, r) => r - case (r, EMPTY) => r - case (r1, r2) => SEQ(r1, r2) - } -} -case class STAR(r: Rexp) extends Rexp { - override def simp = r.simp match { - case NULL => EMPTY - case EMPTY => EMPTY - case r => STAR(r) - } -} - -// 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) - - -// 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 CHAR(_) => false - case ALT(r1, r2) => nullable(r1) || nullable(r2) - case SEQ(r1, r2) => nullable(r1) && nullable(r2) - case STAR(_) => true -} - -// 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 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)) -} - -// derivative w.r.t. a string (iterates der) -def ders (s: List[Char], r: Rexp) : Rexp = s match { - case Nil => r - case c::s => ders(s, der(c, r).simp) -} - -// main matcher function -def matcher(r: Rexp, s: String) : Boolean = nullable(ders(s.toList, r)) - - -//one or zero -def OPT(r: Rexp) = ALT(r, EMPTY) - -//n-times -def NTIMES(r: Rexp, n: Int) : Rexp = n match { - case 0 => EMPTY - case 1 => r - case n => SEQ(r, NTIMES(r, n - 1)) -} - -def RTEST(n: Int) = SEQ(NTIMES(OPT("a"), n), NTIMES("a", n)) - -def time_needed[T](i: Int, code: => T) = { - val start = System.nanoTime() - for (j <- 1 to i) code - val end = System.nanoTime() - (end - start)/(i * 1.0e9) -} - -for (i <- 1 to 100) { - println(i + ": " + "%.5f".format(time_needed(1, matcher(RTEST(i), "a" * i)))) -} - -