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updated
authorChristian Urban <christian dot urban at kcl dot ac dot uk>
Tue, 20 Sep 2016 12:38:26 +0100
changeset 424 1129024b26d5
parent 423 e3acf2bf3895
child 425 d14a9bdac26f
updated
progs/re1.scala file | annotate | diff | comparison | revisions
progs/re2.scala file | annotate | diff | comparison | revisions 
--- a/progs/re1.scala	Tue Sep 20 12:25:09 2016 +0100
+++ b/progs/re1.scala	Tue Sep 20 12:38:26 2016 +0100
@@ -1,6 +1,6 @@
 abstract class Rexp
-case object NULL extends Rexp
-case object EMPTY extends Rexp
+case object ZERO extends Rexp
+case object ONE 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 
@@ -9,8 +9,8 @@
 // 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 ZERO => false
+  case ONE => true
   case CHAR(_) => false
   case ALT(r1, r2) => nullable(r1) || nullable(r2)
   case SEQ(r1, r2) => nullable(r1) && nullable(r2)
@@ -19,9 +19,9 @@
 
 // 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 ZERO => ZERO
+  case ONE => ZERO
+  case CHAR(d) => if (c == d) ONE else ZERO
   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))
@@ -38,18 +38,18 @@
 // main matcher function
 def matches(r: Rexp, s: String) : Boolean = nullable(ders(s.toList, r))
 
-//example from the homework
+//examples from the homework
 val r = STAR(ALT(SEQ(CHAR('a'), CHAR('b')), CHAR('b')))
 der('a', r)
 der('b', r)
 der('c', r)
 
 //optional: one or zero times
-def OPT(r: Rexp) = ALT(r, EMPTY)
+def OPT(r: Rexp) = ALT(r, ONE)
 
 //n-times
 def NTIMES(r: Rexp, n: Int) : Rexp = n match {
-  case 0 => EMPTY
+  case 0 => ONE
   case 1 => r
   case n => SEQ(r, NTIMES(r, n - 1))
 }
--- a/progs/re2.scala	Tue Sep 20 12:25:09 2016 +0100
+++ b/progs/re2.scala	Tue Sep 20 12:38:26 2016 +0100
@@ -1,8 +1,8 @@
 // version with explicit n-times regular expression
 
 abstract class Rexp 
-case object NULL extends Rexp
-case object EMPTY extends Rexp
+case object ZERO extends Rexp
+case object ONE 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 
@@ -10,8 +10,8 @@
 case class NTIMES(r: Rexp, n: Int) extends Rexp //explicit constructor
 
 def nullable (r: Rexp) : Boolean = r match {
-  case NULL => false
-  case EMPTY => true
+  case ZERO => false
+  case ONE => true
   case CHAR(_) => false
   case ALT(r1, r2) => nullable(r1) || nullable(r2)
   case SEQ(r1, r2) => nullable(r1) && nullable(r2)
@@ -20,16 +20,16 @@
 }
 
 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 ZERO => ZERO
+  case ONE => ZERO
+  case CHAR(d) => if (c == d) ONE else ZERO
   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 NTIMES(r, i) => 
-    if (i == 0) NULL else SEQ(der(c, r), NTIMES(r, i - 1))
+    if (i == 0) ZERO else SEQ(der(c, r), NTIMES(r, i - 1))
 }
 
 def ders (s: List[Char], r: Rexp) : Rexp = s match {
@@ -41,7 +41,7 @@
 
 
 //optional: one or zero times
-def OPT(r: Rexp) = ALT(r, EMPTY)
+def OPT(r: Rexp) = ALT(r, ONE)
 
 //evil regular expressions
 def EVIL1(n: Int) = SEQ(NTIMES(OPT(CHAR('a')), n), NTIMES(CHAR('a'), n))
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