diff -r 47f86885d481 -r e85600529ca5 regexp2.scala --- a/regexp2.scala Sun Dec 23 00:38:56 2012 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,123 +0,0 @@ - -// regular expressions including NOT -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 - - -// 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 - 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 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 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)) -} - - -// 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)) -} - -//one or more -def PLUS(r: Rexp) = SEQ(r, STAR(r)) - - -//some regular expressions -val LOWERCASE = RANGE("abcdefghijklmnopqrstuvwxyz".toList) -val UPPERCASE = RANGE("ABCDEFGHIJKLMNOPQRSTUVWXYZ".toList) -val LETTER = ALT(LOWERCASE, UPPERCASE) -val DIGIT = RANGE("0123456789".toList) -val NONZERODIGIT = RANGE("123456789".toList) - -val IDENT = SEQ(LETTER, STAR(ALT(LETTER,DIGIT))) -val NUMBER = ALT(SEQ(NONZERODIGIT, STAR(DIGIT)), "0") -val WHITESPACE = RANGE(" \n".toList) -val WHITESPACES = PLUS(WHITESPACE) - -val ALL = ALT(ALT(LETTER, DIGIT), WHITESPACE) -val COMMENT = SEQ(SEQ("/*", NOT(SEQ(SEQ(STAR(ALL), "*/"), STAR(ALL)))), "*/") - - -// an example list of regular expressions -val regs: List[Rexp]= List("if", "then", "else", "+", IDENT, NUMBER, WHITESPACES, COMMENT) - - -def error (s: String) = throw new IllegalArgumentException ("Could not lex " + s) - -def munch(r: Rexp, s: List[Char], t: List[Char]) : Option[(List[Char], List[Char])] = - s match { - case Nil if (nullable(r)) => Some(Nil, t) - case Nil => None - case c::s if (no_more(der (c, r)) && nullable(r)) => Some(c::s, t) - case c::s if (no_more(der (c, r))) => None - case c::s => munch(der (c, r), s, t ::: List(c)) - } - -def one_string (regs: List[Rexp], s: List[Char]) : (List[Char], List[Char]) = { - val somes = regs.map { munch(_, s, Nil) } .flatten - if (somes == Nil) error(s.mkString) else (somes sortBy (_._1.length) head) -} - -def tokenize (regs: List[Rexp], s: List[Char]) : List[String] = s match { - case Nil => Nil - case _ => one_string(regs, s) match { - case (rest, s) => s.mkString :: tokenize(regs, rest) - } -} - -//examples -println(tokenize(regs, "if true then then 42 else +".toList)) -println(tokenize(regs, "if+true+then+then+42+else +".toList)) -println(tokenize(regs, "ifff if 34 34".toList)) -println(tokenize(regs, "/*ifff if */ hhjj /*34 */".toList)) -println(tokenize(regs, "/* if true then */ then 42 else +".toList)) -//println(tokenize(regs, "ifff $ if 34".toList)) // causes an error because of the symbol $