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@ -32,8 +32,8 @@
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(define-struct (concatR re) (re1 re2) (make-inspector))
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(define-struct (concatR re) (re1 re2) (make-inspector))
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(define-struct (repeatR re) (re))
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(define-struct (repeatR re) (re))
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(define-struct (orR re) (res) (make-inspector))
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(define-struct (orR re) (res) (make-inspector))
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(define-struct (andR re) (res))
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(define-struct (andR re) (res) (make-inspector))
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(define-struct (negR re) (re))
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(define-struct (negR re) (re) (make-inspector))
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;; e : re
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;; e : re
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;; The unique epsilon re
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;; The unique epsilon re
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@ -52,12 +52,14 @@
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;; | (+ s-re) match 1 or more
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;; | (+ s-re) match 1 or more
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;; | (? s-re) match 0 or 1
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;; | (? s-re) match 0 or 1
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;; | (: s-re ...) match one of the sub-expressions
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;; | (: s-re ...) match one of the sub-expressions
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;; | (& s-re ...) match iff all sub-expressions match
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;; | (~ s-re) match iff s-re doesn't match
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;; | (@ s-re ...) match each sub-expression in succession
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;; | (@ s-re ...) match each sub-expression in succession
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;; | (- char char) match any character between two (inclusive)
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;; | (- char char) match any character between two (inclusive)
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;; | (^ char_or_range ...1) match any character not listed
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;; | (^ char_or_range ...) match any character not listed
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;; (the null concatenation `(@) means epsilon as does "".
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;; (The null concatenation `(@) means epsilon as does "".
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;; the null or `(:) means match nothing. The null carat `(^) means match
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;; The null or `(:) means match nothing. The null carat `(^) means match
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;; any character.)
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;; any character. The null intersection `(&) means match string.)
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;; ->re : s-re cache -> re
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;; ->re : s-re cache -> re
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(define (->re exp cache)
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(define (->re exp cache)
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@ -76,8 +78,17 @@
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c
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c
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(build-or (list e c) cache))))
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(build-or (list e c) cache))))
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(`(: ,rs ...)
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(`(: ,rs ...)
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(build-or (flatten-res (map (lambda (r) (->re r cache)) rs) cache)
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(build-or (flatten-res (map (lambda (r) (->re r cache)) rs)
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orR? orR-res merge cache)
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cache))
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cache))
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(`(& ,rs ...)
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(build-and (flatten-res (map (lambda (r) (->re r cache)) rs)
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andR? andR-res (lambda (a b)
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(let-values (((i _ __) (split a b))) i))
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cache)
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cache))
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(`(~ ,r)
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(build-neg (->re r cache) cache))
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(`(@ ,rs ...)
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(`(@ ,rs ...)
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(foldr (lambda (x y)
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(foldr (lambda (x y)
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(build-concat (->re x cache) y cache))
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(build-concat (->re x cache) y cache))
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@ -111,22 +122,26 @@
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;; flatten-res: (list-of re) cache -> (list-of re)
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;; flatten-res: (list-of re) (re -> bool) (re -> (list-of re))
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;; Takes all the char-sets in l and combines them into one element.
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;; ((list-of char) (list-of char) -> (list-of char)) cache -> (list-of re)
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;; Removes orRs too,
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;; Takes all the char-sets in l and combines them into one element using the combine function.
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(define (flatten-res l cache)
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;; Flattens out the values of type?. get-res only needs to function on things type? returns
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;; true for.
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(define (flatten-res l type? get-res combine cache)
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(let loop ((res l)
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(let loop ((res l)
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(chars null)
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(chars #f)
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(no-chars null))
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(no-chars null))
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(cond
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(cond
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((null? res)
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((null? res)
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(if (null? chars)
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(if chars
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no-chars
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(cons (build-char-set (mergesort chars char<?) cache) no-chars)
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(cons (build-char-set (mergesort chars char<?) cache) no-chars)))
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no-chars))
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((char-setR? (car res))
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((char-setR? (car res))
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(loop (cdr res) (merge (char-setR-chars (car res)) chars) no-chars))
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(if chars
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((orR? (car res))
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(loop (cdr res) (combine (char-setR-chars (car res)) chars) no-chars)
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(loop (append (orR-res (car res)) (cdr res)) chars no-chars))
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(loop (cdr res) (char-setR-chars (car res)) no-chars)))
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((type? (car res))
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(loop (append (get-res (car res)) (cdr res)) chars no-chars))
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(else (loop (cdr res) chars (cons (car res) no-chars))))))
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(else (loop (cdr res) chars (cons (car res) no-chars))))))
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;; build-epsilon : -> re
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;; build-epsilon : -> re
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@ -181,6 +196,7 @@
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(cond
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(cond
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((null? rs) z)
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((null? rs) z)
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((null? (cdr rs)) (car rs))
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((null? (cdr rs)) (car rs))
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((memq (build-neg z cache) rs) (build-neg z cache))
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(else
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(else
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(cache (cons 'or (map re-index rs))
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(cache (cons 'or (map re-index rs))
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(lambda ()
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(lambda ()
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@ -188,9 +204,11 @@
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;; build-and : (list-of re) cache -> re
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;; build-and : (list-of re) cache -> re
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(define (build-and rs cache)
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(define (build-and rs cache)
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(let ((rs (do-simple-equiv (replace rs andR? andR-res null) rs)))
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(let ((rs (do-simple-equiv (replace rs andR? andR-res null) re-index)))
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(cond
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(cond
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((ormap (lambda (x) (eq? x z)) rs) z)
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((null? rs) (build-neg z cache))
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((null? (cdr rs)) (car rs))
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((memq z rs) z)
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(else
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(else
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(cache (cons 'and (map re-index rs))
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(cache (cons 'and (map re-index rs))
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(lambda ()
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(lambda ()
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@ -198,57 +216,77 @@
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;; build-neg : re cache -> re
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;; build-neg : re cache -> re
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(define (build-neg r cache)
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(define (build-neg r cache)
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(cache (cons 'neg (re-index r))
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(cond
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(lambda ()
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((negR? r) (negR-re r))
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(make-negR (not (re-nullable? r)) (get-index) r))))
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(else
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(cache (cons 'neg (re-index r))
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(lambda ()
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(make-negR (not (re-nullable? r)) (get-index) r))))))
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;; Tests for the build-functions
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(test-block ((c (make-cache))
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(test-block ((c (make-cache))
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(r1 (->re #\1 c))
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(r1 (build-char-set `(#\1) c))
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(r2 (->re #\2 c))
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(r2 (build-char-set `(#\2) c))
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(r3 (->re #\3 c))
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(r3 (build-char-set `(#\3) c))
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(rc (->re `(@ ,r1 ,r2) c))
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(rc (build-concat r1 r2 c))
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(rc2 (->re `(@ ,r2 ,r1) c))
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(rc2 (build-concat r2 r1 c))
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(rc3 (->re `(@ ,r1 ,r2 ,r3) c))
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(rr (build-repeat rc c))
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(rr (->re `(* ,rc) c))
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(ro (build-or `(,rr ,rc ,rr) c))
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(ro (->re `(: ,rr ,rc ,rr) c))
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(ro2 (build-or `(,rc ,rr ,z) c))
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(ro2 (->re `(: ,rc ,rr ,z) c))
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(ro3 (build-or `(,rr ,rc) c))
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(ro3 (->re `(: ,rr ,rc) c))
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(ro4 (build-or `(,(build-or `(,r1 ,r2) c)
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(real1 (->re `(+ (: (@ "|" (* (^ "|")) "|")
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,(build-or `(,r2 ,r3) c)) c))
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(@ "|" (* (^ "|"))))) c)))
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(ra (build-and `(,rr ,rc ,rr) c))
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(ra2 (build-and `(,rc ,rr) c))
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(ra3 (build-and `(,rr ,rc) c))
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(ra4 (build-and `(,(build-and `(,r3 ,r2) c)
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,(build-and `(,r2 ,r1) c)) c))
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(rn (build-neg z c))
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(rn2 (build-neg r1 c)))
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((char-setR-chars r1) `(#\1))
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((char-setR-chars r1) `(#\1))
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((char-setR-chars r2) `(#\2))
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((char-setR-chars r2) `(#\2))
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((char-setR-chars r3) `(#\3))
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((char-setR-chars r3) `(#\3))
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((build-char-set null c) z)
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((build-concat r1 e c) r1)
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((build-concat e r1 c) r1)
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((build-concat r1 z c) z)
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((build-concat z r1 c) z)
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((build-concat r1 r2 c) rc)
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((concatR-re1 rc) r1)
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((concatR-re2 rc) r2)
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((concatR-re1 rc2) r2)
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((concatR-re2 rc2) r1)
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(ro ro2)
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(ro ro2)
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(ro ro3)
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(ro ro3)
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((->re `(* ,rc) c) rr)
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(ro4 (build-or `(,r1 ,r2 ,r3) c))
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((build-char-set null c) z)
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((->re `(@) c) e)
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((->re `(:) c) z)
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((->re `(@ ,r1 (epsilon)) c) r1)
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((->re `(@ (epsilon) ,r1) c) r1)
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((->re `(@ ,r1 ,z) c) z)
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((->re `(@ ,z ,r1) c) z)
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((->re `(@ ,z (epsilon)) c) z)
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((->re `(@ (epsilon) ,z) c) z)
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((->re `(:) c) z)
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((->re `(: ,rr) c) rr)
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((build-or `(,z ,r1 ,z) c) r1)
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((build-or (list
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(build-or (list r1 r2) c)
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(build-or (list rc rr) c))
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c)
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(build-or (list r1 r2 rc rr) c))
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((concatR-re1 rc3) r1)
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((concatR-re1 (concatR-re2 rc3)) r2)
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((concatR-re2 (concatR-re2 rc3)) r3)
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((orR-res ro) (list rc rr))
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((orR-res ro) (list rc rr))
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((orR-res ro4) (list r1 r2 r3))
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((build-or null c) z)
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((build-or `(,r1 ,z) c) r1)
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((build-repeat rc c) rr)
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((repeatR-re rr) rc)
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((repeatR-re rr) rc)
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(ra ra2)
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(ra ra3)
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(ra4 (build-and `(,r1 ,r2 ,r3) c))
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((andR-res ra) (list rc rr))
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((andR-res ra4) (list r1 r2 r3))
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((build-and null c) (build-neg z c))
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((build-and `(,r1 ,z) c) z)
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((build-and `(,r1) c) r1)
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((build-neg r1 c) (build-neg r1 c))
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((build-neg (build-neg r1 c) c) r1)
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((negR-re (build-neg r2 c)) r2)
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((re-nullable? r1) #f)
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((re-nullable? r1) #f)
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((re-nullable? rc) #f)
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((re-nullable? rc) #f)
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((re-nullable? (->re `(@ ,rr ,rr) c)) #t)
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((re-nullable? (build-concat rr rr c)) #t)
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((re-nullable? rr) #t)
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((re-nullable? rr) #t)
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((re-nullable? ro) #t)
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((re-nullable? ro) #t)
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((re-nullable? (->re `(: ,r1 ,r2) c)) #f))
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((re-nullable? (build-or `(,r1 ,r2) c)) #f)
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((re-nullable? (build-and `(,r1 ,e) c)) #f)
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((re-nullable? (build-and `(,rr ,e) c)) #t)
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((re-nullable? (build-neg r1 c)) #t)
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((re-nullable? (build-neg rr c)) #f))
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(test-block ((c (make-cache))
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(test-block ((c (make-cache))
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(r1 (->re #\1 c))
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(r1 (->re #\1 c))
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@ -257,12 +295,19 @@
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(r4 (build-or `(,r1 ,r2) c))
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(r4 (build-or `(,r1 ,r2) c))
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(r5 (->re `(: ,r3-5 #\7) c))
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(r5 (->re `(: ,r3-5 #\7) c))
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(r6 (->re #\6 c)))
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(r6 (->re #\6 c)))
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((flatten-res null c) null)
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((flatten-res null orR? orR-res merge c) null)
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((char-setR-chars (car (flatten-res `(,r1) c))) '(#\1))
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((char-setR-chars (car (flatten-res `(,r1) orR? orR-res merge c))) '(#\1))
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((char-setR-chars (car (flatten-res `(,r4) c))) '(#\1 #\2))
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((char-setR-chars (car (flatten-res `(,r4) orR? orR-res merge c))) '(#\1 #\2))
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((char-setR-chars (car (flatten-res `(,r6 ,r5 ,r4 ,r3-5 ,r2 ,r1) c)))
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((char-setR-chars (car (flatten-res `(,r6 ,r5 ,r4 ,r3-5 ,r2 ,r1) orR? orR-res merge c)))
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(string->list "1234567")))
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(string->list "1234567"))
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((flatten-res `(,r1 ,r2) andR? andR-res (lambda (x y)
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(let-values (((i _ __)
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(split x y)))
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i))
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c)
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(list z)))
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;; ->re
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(test-block ((c (make-cache))
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(test-block ((c (make-cache))
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(r (->re #\a c))
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(r (->re #\a c))
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(rr (->re `(@ ,r ,r) c))
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(rr (->re `(@ ,r ,r) c))
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@ -285,6 +330,18 @@
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((->re `(: ,rr ,rrr) c) (build-or (list rr rrr) c))
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((->re `(: ,rr ,rrr) c) (build-or (list rr rrr) c))
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((->re `(: ,r) c) r)
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((->re `(: ,r) c) r)
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((->re `(:) c) z)
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((->re `(:) c) z)
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((->re `(& (& #\111 (^ (- #\000 #\110) (- #\112 #\377)))
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(& (* #\2))) c)
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(build-and (list (build-char-set '(#\111) c)
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(build-repeat (build-char-set '(#\2) c) c))
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c))
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((->re `(& (& #\000 (^ (- #\000 #\110) (- #\112 #\377)))
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(& (* #\2))) c)
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z)
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((->re `(& ,rr ,rrr) c) (build-and (list rr rrr) c))
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((->re `(& ,r) c) r)
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((->re `(&) c) (build-neg z c))
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((->re `(~ ,r) c) (build-neg r c))
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((->re `(@) c) e)
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((->re `(@) c) e)
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((->re `(@ ,rrr*) c) rrr*)
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((->re `(@ ,rrr*) c) rrr*)
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(rr (build-concat r r c))
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(rr (build-concat r r c))
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