--- a/matcher.scala Fri Nov 23 19:31:37 2012 +0000
+++ b/matcher.scala Fri Nov 23 21:21:27 2012 +0000
@@ -4,11 +4,12 @@
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
+case class NOT(r: Rexp) extends Rexp // negation of a regular expression
// nullable function: tests whether the regular
@@ -16,6 +17,7 @@
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)
@@ -28,6 +30,7 @@
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)
@@ -39,7 +42,9 @@
// 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 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))