diff -r 47f86885d481 -r e85600529ca5 re0.scala --- a/re0.scala Sun Dec 23 00:38:56 2012 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,113 +0,0 @@ - -abstract class Rexp - -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 -case class SEQ(r1: Rexp, r2: Rexp) extends Rexp -case class STAR(r: Rexp) extends Rexp -case class NOT(r: Rexp) extends Rexp -case class REP(r: Rexp, n: Int) extends Rexp - -// 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) - -implicit def RexpOps(r: Rexp) = new { - def | (s: Rexp) = ALT(r, s) - def % = STAR(r) - def %(n: Int) = REP(r, n) - def %%(n: Int) = SEQ(REP(r, n), STAR(r)) - def ? = ALT(EMPTY, r) - def unary_! = NOT(r) - def ~ (s: Rexp) = SEQ(r, s) -} - -implicit def stringOps(s: String) = new { - def | (r: Rexp) = ALT(s, r) - def | (r: String) = ALT(s, r) - def % = STAR(s) - def %(n: Int) = REP(s, n) - def %%(n: Int) = SEQ(REP(s, n), STAR(s)) - def ? = ALT(EMPTY, s) - def unary_! = NOT(s) - def ~ (r: Rexp) = SEQ(s, r) - def ~ (r: String) = SEQ(s, r) -} - - -// 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 - case NOT(r) => !(nullable(r)) - case REP(r, i) => if (i == 0) true else nullable(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 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)) - case REP(r, i) => - if (i == 0) NULL else SEQ(der(c, r), REP(r, i - 1)) -} - -// 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)) -} - -// main matcher function -def matcher(r: Rexp, s: String) : Boolean = nullable(ders(s.toList, r)) - -//examples -val digit = "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9" -val int = ("+" | "-").? ~ digit.%%(1) -val real = ("+" | "-").? ~ digit.%%(1) ~ ("." ~ digit.%%(1)).? ~ (("e" | "E") ~ ("+" | "-").? ~ digit.%%(1)).? - -val ints = List("0", "-4534", "+049", "99") -val reals = List("0.9", "-12.8", "+91.0", "9e12", "+9.21E-12", "-512E+01") -val errs = List("", "-", "+", "+-1", "-+2", "2-") - -ints.map(s => matcher(int, s)) -reals.map(s => matcher(int, s)) -errs.map(s => matcher(int, s)) - -ints.map(s => matcher(real, s)) -reals.map(s => matcher(real, s)) -errs.map(s => matcher(real, s)) - - - -def RTEST(n: Int) = ("a".? %(n)) ~ ("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 29) { - println(i + ": " + "%.5f".format(time_needed(1, matcher(RTEST(i), "a" * i)))) -} - -