827 lines
66 KiB
Racket
827 lines
66 KiB
Racket
#lang planet dyoo/whalesong/base
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(begin
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(define make-parser
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(lambda (grammar lexer)
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(letrec ((non-terminals
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(lambda (grammar)
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(letrec ((add-nt (lambda (nt nts) (if (member nt nts) nts (cons nt nts)))))
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((letrec ((def-loop
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(lambda (defs nts)
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(if (pair? defs)
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(let ((def (car defs)))
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(let ((head (car def)))
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((letrec ((rule-loop
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(lambda (rules nts)
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(if (pair? rules)
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(let ((rule (car rules)))
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((letrec ((loop
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(lambda (l nts)
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(if (pair? l)
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(let ((nt (car l)))
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(loop (cdr l) (add-nt nt nts)))
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(rule-loop (cdr rules) nts)))))
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loop)
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rule
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nts))
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(def-loop (cdr defs) nts)))))
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rule-loop)
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(cdr def)
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(add-nt head nts))))
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(list->vector (reverse nts))))))
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def-loop)
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grammar
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'()))))
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(ind
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(lambda (nt nts)
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((letrec ((loop
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(lambda (i)
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(if (>= i '0) (if (equal? (vector-ref nts i) nt) i (loop (- i '1))) '#f))))
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loop)
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(- (vector-length nts) '1))))
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(nb-configurations
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(lambda (grammar)
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((letrec ((def-loop
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(lambda (defs nb-confs)
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(if (pair? defs)
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(let ((def (car defs)))
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((letrec ((rule-loop
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(lambda (rules nb-confs)
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(if (pair? rules)
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(let ((rule (car rules)))
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((letrec ((loop
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(lambda (l nb-confs)
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(if (pair? l)
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(loop (cdr l) (+ nb-confs '1))
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(rule-loop (cdr rules) (+ nb-confs '1))))))
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loop)
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rule
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nb-confs))
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(def-loop (cdr defs) nb-confs)))))
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rule-loop)
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(cdr def)
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nb-confs))
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nb-confs))))
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def-loop)
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grammar
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'0))))
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(let ((nts (non-terminals grammar)))
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(let ((nb-nts (vector-length nts)))
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(let ((nb-confs (+ (nb-configurations grammar) nb-nts)))
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(let ((starters (make-vector nb-nts '())))
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(let ((enders (make-vector nb-nts '())))
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(let ((predictors (make-vector nb-nts '())))
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(let ((steps (make-vector nb-confs '#f)))
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(let ((names (make-vector nb-confs '#f)))
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(letrec ((setup-tables
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(lambda (grammar nts starters enders predictors steps names)
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(letrec ((add-conf
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(lambda (conf nt nts class)
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(let ((i (ind nt nts)))
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(vector-set! class i (cons conf (vector-ref class i)))))))
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(let ((nb-nts (vector-length nts)))
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((letrec ((nt-loop
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(lambda (i)
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(if (>= i '0)
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(begin
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(vector-set! steps i (- i nb-nts))
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(vector-set! names i (list (vector-ref nts i) '0))
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(vector-set! enders i (list i))
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(nt-loop (- i '1)))
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'#f))))
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nt-loop)
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(- nb-nts '1))
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((letrec ((def-loop
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(lambda (defs conf)
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(if (pair? defs)
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(let ((def (car defs)))
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(let ((head (car def)))
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((letrec ((rule-loop
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(lambda (rules conf rule-num)
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(if (pair? rules)
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(let ((rule (car rules)))
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(vector-set!
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names
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conf
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(list head rule-num))
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(add-conf conf head nts starters)
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((letrec ((loop
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(lambda (l conf)
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(if (pair? l)
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(let ((nt (car l)))
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(vector-set!
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steps
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conf
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(ind nt nts))
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(add-conf
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conf
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nt
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nts
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predictors)
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(loop
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(cdr l)
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(+ conf '1)))
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(begin
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(vector-set!
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steps
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conf
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(-
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(ind head nts)
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nb-nts))
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(add-conf
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conf
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head
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nts
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enders)
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(rule-loop
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(cdr rules)
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(+ conf '1)
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(+ rule-num '1)))))))
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loop)
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rule
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conf))
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(def-loop (cdr defs) conf)))))
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rule-loop)
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(cdr def)
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conf
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'1)))
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'#f))))
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def-loop)
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grammar
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(vector-length nts)))))))
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(setup-tables grammar nts starters enders predictors steps names)
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(let ((parser-descr (vector lexer nts starters enders predictors steps names)))
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(lambda (input)
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(letrec ((ind
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(lambda (nt nts)
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((letrec ((loop
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(lambda (i)
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(if (>= i '0)
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(if (equal? (vector-ref nts i) nt) i (loop (- i '1)))
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'#f))))
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loop)
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(- (vector-length nts) '1))))
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(comp-tok
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(lambda (tok nts)
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((letrec ((loop
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(lambda (l1 l2)
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(if (pair? l1)
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(let ((i (ind (car l1) nts)))
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(if i (loop (cdr l1) (cons i l2)) (loop (cdr l1) l2)))
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(cons (car tok) (reverse l2))))))
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loop)
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(cdr tok)
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'())))
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(input->tokens
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(lambda (input lexer nts)
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(list->vector (map (lambda (tok) (comp-tok tok nts)) (lexer input)))))
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(make-states
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(lambda (nb-toks nb-confs)
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(let ((states (make-vector (+ nb-toks '1) '#f)))
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((letrec ((loop
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(lambda (i)
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(if (>= i '0)
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(let ((v (make-vector (+ nb-confs '1) '#f)))
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(vector-set! v '0 '-1)
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(vector-set! states i v)
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(loop (- i '1)))
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states))))
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loop)
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nb-toks))))
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(conf-set-get (lambda (state conf) (vector-ref state (+ conf '1))))
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(conf-set-get*
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(lambda (state state-num conf)
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(let ((conf-set (conf-set-get state conf)))
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(if conf-set
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conf-set
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(let ((conf-set (make-vector (+ state-num '6) '#f)))
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(vector-set! conf-set '1 '-3)
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(vector-set! conf-set '2 '-1)
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(vector-set! conf-set '3 '-1)
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(vector-set! conf-set '4 '-1)
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(vector-set! state (+ conf '1) conf-set)
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conf-set)))))
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(conf-set-merge-new!
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(lambda (conf-set)
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(vector-set!
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conf-set
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(+ (vector-ref conf-set '1) '5)
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(vector-ref conf-set '4))
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(vector-set! conf-set '1 (vector-ref conf-set '3))
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(vector-set! conf-set '3 '-1)
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(vector-set! conf-set '4 '-1)))
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(conf-set-head (lambda (conf-set) (vector-ref conf-set '2)))
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(conf-set-next (lambda (conf-set i) (vector-ref conf-set (+ i '5))))
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(conf-set-member?
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(lambda (state conf i)
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(let ((conf-set (vector-ref state (+ conf '1))))
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(if conf-set (conf-set-next conf-set i) '#f))))
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(conf-set-adjoin
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(lambda (state conf-set conf i)
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(let ((tail (vector-ref conf-set '3)))
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(vector-set! conf-set (+ i '5) '-1)
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(vector-set! conf-set (+ tail '5) i)
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(vector-set! conf-set '3 i)
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(if (< tail '0)
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(begin
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(vector-set! conf-set '0 (vector-ref state '0))
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(vector-set! state '0 conf))
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'#f))))
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(conf-set-adjoin*
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(lambda (states state-num l i)
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(let ((state (vector-ref states state-num)))
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((letrec ((loop
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(lambda (l1)
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(if (pair? l1)
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(let ((conf (car l1)))
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(let ((conf-set (conf-set-get* state state-num conf)))
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(if (not (conf-set-next conf-set i))
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(begin
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(conf-set-adjoin state conf-set conf i)
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(loop (cdr l1)))
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(loop (cdr l1)))))
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'#f))))
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loop)
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l))))
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(conf-set-adjoin**
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(lambda (states states* state-num conf i)
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(let ((state (vector-ref states state-num)))
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(if (conf-set-member? state conf i)
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(let ((state* (vector-ref states* state-num)))
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(let ((conf-set* (conf-set-get* state* state-num conf)))
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(if (not (conf-set-next conf-set* i))
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(conf-set-adjoin state* conf-set* conf i)
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'#f)
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'#t))
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'#f))))
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(conf-set-union
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(lambda (state conf-set conf other-set)
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((letrec ((loop
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(lambda (i)
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(if (>= i '0)
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(if (not (conf-set-next conf-set i))
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(begin
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(conf-set-adjoin state conf-set conf i)
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(loop (conf-set-next other-set i)))
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(loop (conf-set-next other-set i)))
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'#f))))
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loop)
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(conf-set-head other-set))))
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(forw
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(lambda (states state-num starters enders predictors steps nts)
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(letrec ((predict
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(lambda (state state-num conf-set conf nt starters enders)
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((letrec ((loop1
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(lambda (l)
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(if (pair? l)
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(let ((starter (car l)))
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(let ((starter-set
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(conf-set-get*
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state
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state-num
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starter)))
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(if (not
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(conf-set-next
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starter-set
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state-num))
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(begin
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(conf-set-adjoin
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state
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starter-set
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starter
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state-num)
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(loop1 (cdr l)))
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(loop1 (cdr l)))))
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'#f))))
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loop1)
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(vector-ref starters nt))
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((letrec ((loop2
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(lambda (l)
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(if (pair? l)
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(let ((ender (car l)))
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(if (conf-set-member? state ender state-num)
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(let ((next (+ conf '1)))
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(let ((next-set
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(conf-set-get*
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state
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state-num
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next)))
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(conf-set-union
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state
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next-set
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next
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conf-set)
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(loop2 (cdr l))))
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(loop2 (cdr l))))
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'#f))))
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loop2)
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(vector-ref enders nt))))
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(reduce
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(lambda (states state state-num conf-set head preds)
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((letrec ((loop1
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(lambda (l)
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(if (pair? l)
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(let ((pred (car l)))
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((letrec ((loop2
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(lambda (i)
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(if (>= i '0)
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(let ((pred-set
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(conf-set-get
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(vector-ref states i)
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pred)))
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(if pred-set
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(let ((next (+ pred '1)))
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(let ((next-set
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(conf-set-get*
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state
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state-num
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next)))
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(conf-set-union
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state
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next-set
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next
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pred-set)))
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'#f)
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(loop2
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(conf-set-next
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conf-set
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i)))
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(loop1 (cdr l))))))
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loop2)
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head))
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'#f))))
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loop1)
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preds))))
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(let ((state (vector-ref states state-num))
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(nb-nts (vector-length nts)))
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((letrec ((loop
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(lambda ()
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(let ((conf (vector-ref state '0)))
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(if (>= conf '0)
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(let ((step (vector-ref steps conf)))
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(let ((conf-set (vector-ref state (+ conf '1))))
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(let ((head (vector-ref conf-set '4)))
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(vector-set!
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state
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'0
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(vector-ref conf-set '0))
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(conf-set-merge-new! conf-set)
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(if (>= step '0)
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(predict
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state
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state-num
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conf-set
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conf
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step
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starters
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enders)
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(let ((preds
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(vector-ref
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predictors
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(+ step nb-nts))))
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(reduce
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states
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state
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state-num
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conf-set
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head
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preds)))
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(loop))))
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'#f)))))
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loop))))))
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(forward
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(lambda (starters enders predictors steps nts toks)
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(let ((nb-toks (vector-length toks)))
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(let ((nb-confs (vector-length steps)))
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(let ((states (make-states nb-toks nb-confs)))
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(let ((goal-starters (vector-ref starters '0)))
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(conf-set-adjoin* states '0 goal-starters '0)
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(forw states '0 starters enders predictors steps nts)
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((letrec ((loop
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(lambda (i)
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(if (< i nb-toks)
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(let ((tok-nts (cdr (vector-ref toks i))))
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(conf-set-adjoin* states (+ i '1) tok-nts i)
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(forw
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states
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(+ i '1)
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starters
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enders
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predictors
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steps
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nts)
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(loop (+ i '1)))
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'#f))))
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loop)
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'0)
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states))))))
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(produce
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(lambda (conf i j enders steps toks states states* nb-nts)
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(let ((prev (- conf '1)))
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(if (if (>= conf nb-nts) (>= (vector-ref steps prev) '0) '#f)
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((letrec ((loop1
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(lambda (l)
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(if (pair? l)
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(let ((ender (car l)))
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(let ((ender-set
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(conf-set-get (vector-ref states j) ender)))
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(if ender-set
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((letrec ((loop2
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(lambda (k)
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(if (>= k '0)
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(begin
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(if (>= k i)
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(if (conf-set-adjoin**
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|
states
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states*
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k
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prev
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i)
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(conf-set-adjoin**
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|
states
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states*
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j
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ender
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k)
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'#f)
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'#f)
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(loop2
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(conf-set-next ender-set k)))
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(loop1 (cdr l))))))
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loop2)
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(conf-set-head ender-set))
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(loop1 (cdr l)))))
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'#f))))
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loop1)
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(vector-ref enders (vector-ref steps prev)))
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'#f))))
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(back
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(lambda (states states* state-num enders steps nb-nts toks)
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(let ((state* (vector-ref states* state-num)))
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((letrec ((loop1
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(lambda ()
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(let ((conf (vector-ref state* '0)))
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(if (>= conf '0)
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(let ((conf-set (vector-ref state* (+ conf '1))))
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(let ((head (vector-ref conf-set '4)))
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(vector-set! state* '0 (vector-ref conf-set '0))
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(conf-set-merge-new! conf-set)
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((letrec ((loop2
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(lambda (i)
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(if (>= i '0)
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(begin
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|
(produce
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|
conf
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|
i
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|
state-num
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|
enders
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|
steps
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|
toks
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|
states
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|
states*
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nb-nts)
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(loop2
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(conf-set-next conf-set i)))
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(loop1)))))
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loop2)
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head)))
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'#f)))))
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loop1)))))
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(backward
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(lambda (states enders steps nts toks)
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(let ((nb-toks (vector-length toks)))
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(let ((nb-confs (vector-length steps)))
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(let ((nb-nts (vector-length nts)))
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(let ((states* (make-states nb-toks nb-confs)))
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(let ((goal-enders (vector-ref enders '0)))
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((letrec ((loop1
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(lambda (l)
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(if (pair? l)
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(let ((conf (car l)))
|
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(conf-set-adjoin**
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states
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states*
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nb-toks
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conf
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'0)
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(loop1 (cdr l)))
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'#f))))
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loop1)
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goal-enders)
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((letrec ((loop2
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(lambda (i)
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(if (>= i '0)
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(begin
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(back
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|
states
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states*
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i
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enders
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steps
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nb-nts
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toks)
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(loop2 (- i '1)))
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'#f))))
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loop2)
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nb-toks)
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states*)))))))
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(parsed?
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(lambda (nt i j nts enders states)
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(let ((nt* (ind nt nts)))
|
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(if nt*
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(let ((nb-nts (vector-length nts)))
|
|
((letrec ((loop
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|
(lambda (l)
|
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(if (pair? l)
|
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(let ((conf (car l)))
|
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(if (conf-set-member?
|
|
(vector-ref states j)
|
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conf
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i)
|
|
'#t
|
|
(loop (cdr l))))
|
|
'#f))))
|
|
loop)
|
|
(vector-ref enders nt*)))
|
|
'#f))))
|
|
(deriv-trees
|
|
(lambda (conf i j enders steps names toks states nb-nts)
|
|
(let ((name (vector-ref names conf)))
|
|
(if name
|
|
(if (< conf nb-nts)
|
|
(list (list name (car (vector-ref toks i))))
|
|
(list (list name)))
|
|
(let ((prev (- conf '1)))
|
|
((letrec ((loop1
|
|
(lambda (l1 l2)
|
|
(if (pair? l1)
|
|
(let ((ender (car l1)))
|
|
(let ((ender-set
|
|
(conf-set-get
|
|
(vector-ref states j)
|
|
ender)))
|
|
(if ender-set
|
|
((letrec ((loop2
|
|
(lambda (k l2)
|
|
(if (>= k '0)
|
|
(if (if (>= k i)
|
|
(conf-set-member?
|
|
(vector-ref states k)
|
|
prev
|
|
i)
|
|
'#f)
|
|
(let ((prev-trees
|
|
(deriv-trees
|
|
prev
|
|
i
|
|
k
|
|
enders
|
|
steps
|
|
names
|
|
toks
|
|
states
|
|
nb-nts))
|
|
(ender-trees
|
|
(deriv-trees
|
|
ender
|
|
k
|
|
j
|
|
enders
|
|
steps
|
|
names
|
|
toks
|
|
states
|
|
nb-nts)))
|
|
((letrec ((loop3
|
|
(lambda (l3 l2)
|
|
(if (pair? l3)
|
|
(let ((ender-tree
|
|
(list
|
|
(car
|
|
l3))))
|
|
((letrec ((loop4
|
|
(lambda (l4
|
|
l2)
|
|
(if (pair?
|
|
l4)
|
|
(loop4
|
|
(cdr
|
|
l4)
|
|
(cons
|
|
(append
|
|
(car
|
|
l4)
|
|
ender-tree)
|
|
l2))
|
|
(loop3
|
|
(cdr
|
|
l3)
|
|
l2)))))
|
|
loop4)
|
|
prev-trees
|
|
l2))
|
|
(loop2
|
|
(conf-set-next
|
|
ender-set
|
|
k)
|
|
l2)))))
|
|
loop3)
|
|
ender-trees
|
|
l2))
|
|
(loop2
|
|
(conf-set-next ender-set k)
|
|
l2))
|
|
(loop1 (cdr l1) l2)))))
|
|
loop2)
|
|
(conf-set-head ender-set)
|
|
l2)
|
|
(loop1 (cdr l1) l2))))
|
|
l2))))
|
|
loop1)
|
|
(vector-ref enders (vector-ref steps prev))
|
|
'()))))))
|
|
(deriv-trees*
|
|
(lambda (nt i j nts enders steps names toks states)
|
|
(let ((nt* (ind nt nts)))
|
|
(if nt*
|
|
(let ((nb-nts (vector-length nts)))
|
|
((letrec ((loop
|
|
(lambda (l trees)
|
|
(if (pair? l)
|
|
(let ((conf (car l)))
|
|
(if (conf-set-member?
|
|
(vector-ref states j)
|
|
conf
|
|
i)
|
|
(loop
|
|
(cdr l)
|
|
(append
|
|
(deriv-trees
|
|
conf
|
|
i
|
|
j
|
|
enders
|
|
steps
|
|
names
|
|
toks
|
|
states
|
|
nb-nts)
|
|
trees))
|
|
(loop (cdr l) trees)))
|
|
trees))))
|
|
loop)
|
|
(vector-ref enders nt*)
|
|
'()))
|
|
'#f))))
|
|
(nb-deriv-trees
|
|
(lambda (conf i j enders steps toks states nb-nts)
|
|
(let ((prev (- conf '1)))
|
|
(if (let ((or-part (< conf nb-nts)))
|
|
(if or-part or-part (< (vector-ref steps prev) '0)))
|
|
'1
|
|
((letrec ((loop1
|
|
(lambda (l n)
|
|
(if (pair? l)
|
|
(let ((ender (car l)))
|
|
(let ((ender-set
|
|
(conf-set-get (vector-ref states j) ender)))
|
|
(if ender-set
|
|
((letrec ((loop2
|
|
(lambda (k n)
|
|
(if (>= k '0)
|
|
(if (if (>= k i)
|
|
(conf-set-member?
|
|
(vector-ref states k)
|
|
prev
|
|
i)
|
|
'#f)
|
|
(let ((nb-prev-trees
|
|
(nb-deriv-trees
|
|
prev
|
|
i
|
|
k
|
|
enders
|
|
steps
|
|
toks
|
|
states
|
|
nb-nts))
|
|
(nb-ender-trees
|
|
(nb-deriv-trees
|
|
ender
|
|
k
|
|
j
|
|
enders
|
|
steps
|
|
toks
|
|
states
|
|
nb-nts)))
|
|
(loop2
|
|
(conf-set-next ender-set k)
|
|
(+
|
|
n
|
|
(*
|
|
nb-prev-trees
|
|
nb-ender-trees))))
|
|
(loop2
|
|
(conf-set-next ender-set k)
|
|
n))
|
|
(loop1 (cdr l) n)))))
|
|
loop2)
|
|
(conf-set-head ender-set)
|
|
n)
|
|
(loop1 (cdr l) n))))
|
|
n))))
|
|
loop1)
|
|
(vector-ref enders (vector-ref steps prev))
|
|
'0)))))
|
|
(nb-deriv-trees*
|
|
(lambda (nt i j nts enders steps toks states)
|
|
(let ((nt* (ind nt nts)))
|
|
(if nt*
|
|
(let ((nb-nts (vector-length nts)))
|
|
((letrec ((loop
|
|
(lambda (l nb-trees)
|
|
(if (pair? l)
|
|
(let ((conf (car l)))
|
|
(if (conf-set-member?
|
|
(vector-ref states j)
|
|
conf
|
|
i)
|
|
(loop
|
|
(cdr l)
|
|
(+
|
|
(nb-deriv-trees
|
|
conf
|
|
i
|
|
j
|
|
enders
|
|
steps
|
|
toks
|
|
states
|
|
nb-nts)
|
|
nb-trees))
|
|
(loop (cdr l) nb-trees)))
|
|
nb-trees))))
|
|
loop)
|
|
(vector-ref enders nt*)
|
|
'0))
|
|
'#f)))))
|
|
(let ((lexer (vector-ref parser-descr '0)))
|
|
(let ((nts (vector-ref parser-descr '1)))
|
|
(let ((starters (vector-ref parser-descr '2)))
|
|
(let ((enders (vector-ref parser-descr '3)))
|
|
(let ((predictors (vector-ref parser-descr '4)))
|
|
(let ((steps (vector-ref parser-descr '5)))
|
|
(let ((names (vector-ref parser-descr '6)))
|
|
(let ((toks (input->tokens input lexer nts)))
|
|
(vector
|
|
nts
|
|
starters
|
|
enders
|
|
predictors
|
|
steps
|
|
names
|
|
toks
|
|
(backward
|
|
(forward starters enders predictors steps nts toks)
|
|
enders
|
|
steps
|
|
nts
|
|
toks)
|
|
parsed?
|
|
deriv-trees*
|
|
nb-deriv-trees*))))))))))))))))))))))))
|
|
(define parse->parsed?
|
|
(lambda (parse nt i j)
|
|
(let ((nts (vector-ref parse '0)))
|
|
(let ((enders (vector-ref parse '2)))
|
|
(let ((states (vector-ref parse '7)))
|
|
(let ((parsed? (vector-ref parse '8))) (parsed? nt i j nts enders states)))))))
|
|
(define parse->trees
|
|
(lambda (parse nt i j)
|
|
(let ((nts (vector-ref parse '0)))
|
|
(let ((enders (vector-ref parse '2)))
|
|
(let ((steps (vector-ref parse '4)))
|
|
(let ((names (vector-ref parse '5)))
|
|
(let ((toks (vector-ref parse '6)))
|
|
(let ((states (vector-ref parse '7)))
|
|
(let ((deriv-trees* (vector-ref parse '9)))
|
|
(deriv-trees* nt i j nts enders steps names toks states))))))))))
|
|
(define parse->nb-trees
|
|
(lambda (parse nt i j)
|
|
(let ((nts (vector-ref parse '0)))
|
|
(let ((enders (vector-ref parse '2)))
|
|
(let ((steps (vector-ref parse '4)))
|
|
(let ((toks (vector-ref parse '6)))
|
|
(let ((states (vector-ref parse '7)))
|
|
(let ((nb-deriv-trees* (vector-ref parse '10)))
|
|
(nb-deriv-trees* nt i j nts enders steps toks states)))))))))
|
|
(define test
|
|
(lambda (k)
|
|
(let ((p (make-parser '((s (a) (s s)))
|
|
(lambda (l)
|
|
(map (lambda (x) (list x x)) l)))))
|
|
(let ((x (p (vector->list (make-vector k 'a)))))
|
|
(display (length (parse->trees x 's '0 k)))
|
|
(newline)))))
|
|
(test '12))
|