progs/re4.scala
changeset 455 1dbf84ade62c
parent 441 028816884f70
child 467 b5ec11e89768
equal deleted inserted replaced
454:edb4ad356c56 455:1dbf84ade62c
    28   case ALT(r1, r2) => ALT(der(c, r1), der(c, r2))
    28   case ALT(r1, r2) => ALT(der(c, r1), der(c, r2))
    29   case SEQ(r1, r2) => 
    29   case SEQ(r1, r2) => 
    30     if (nullable(r1)) ALT(SEQ(der(c, r1), r2), der(c, r2))
    30     if (nullable(r1)) ALT(SEQ(der(c, r1), r2), der(c, r2))
    31     else SEQ(der(c, r1), r2)
    31     else SEQ(der(c, r1), r2)
    32   case STAR(r1) => SEQ(der(c, r1), STAR(r1))
    32   case STAR(r1) => SEQ(der(c, r1), STAR(r1))
    33   case NTIMES(r, i) => 
    33   case NTIMES(r1, i) => 
    34     if (i == 0) ZERO else SEQ(der(c, r), NTIMES(r, i - 1))
    34     if (i == 0) ZERO else der(c, SEQ(r1, NTIMES(r1, i - 1)))
    35 }
    35 }
    36 
    36 
    37 def simp(r: Rexp) : Rexp = r match {
    37 def simp(r: Rexp) : Rexp = r match {
    38   case ALT(r1, r2) => (simp(r1), simp(r2)) match {
    38   case ALT(r1, r2) => (simp(r1), simp(r2)) match {
    39     case (ZERO, r2s) => r2s
    39     case (ZERO, r2s) => r2s
    44     case (ZERO, _) => ZERO
    44     case (ZERO, _) => ZERO
    45     case (_, ZERO) => ZERO
    45     case (_, ZERO) => ZERO
    46     case (ONE, r2s) => r2s
    46     case (ONE, r2s) => r2s
    47     case (r1s, ONE) => r1s
    47     case (r1s, ONE) => r1s
    48     case (r1s, r2s) => SEQ(r1s, r2s)
    48     case (r1s, r2s) => SEQ(r1s, r2s)
    49   }
       
    50   case NTIMES(r1, n) => simp(r1) match {
       
    51     case ZERO => ZERO
       
    52     case ONE => ONE
       
    53     case r1s => NTIMES(r1s, n)
       
    54   }
    49   }
    55   case r => r
    50   case r => r
    56 }
    51 }
    57 
    52 
    58 // derivative w.r.t. a string (iterates der)
    53 // derivative w.r.t. a string (iterates der)