The short answer is this:

  A macro should NEVER call syntax->datum on an expression
  or a term that contains expressions.

The syntax->datum call throws away important information, and you're seeing the consequences when you split your code into separate modules.

Here's how I would rewrite the macro:

;; (%rule (var-id ...) clause ...)
;; where clause = [(expr ...) subgoal ...]
;;       subgoal = (subgoal-fun-expr arg-expr ...)
;; Example:
;;    (%rule () [() (%noun-phrase) (%verb-phrase)])
;; => (%rel (s0 s1 s2)
;;      [(s0 s2) (%noun-phrase s0 s1) (%verb-phrase s1 s2)])
(define-syntax (%rule stx)
  (syntax-case stx ()
    [(_ (v ...) clause ...)
     (let ()
       ;; How many aux vars might we need? Each subgoal connects
       ;; two vars, so each clause needs one more than number of
       ;; subgoals, so need max over all clauses.
       ;; FIXME: what if no claues?
       (define aux-var-count
         (apply max (for/list ([clause (syntax->list #'(clause ...))])
                      (add1 (clause-count-subgoals clause)))))
       (define all-aux-vars
         (generate-temporaries (make-list aux-var-count #'s)))
       (with-syntax
           ([(aux-var ...) all-aux-vars]
            [(new-clause ...)
             (for/list ([clause (in-list (syntax->list #'(clause ...)))])
               (rewrite-clause clause all-aux-vars))])
         #'(%rel (aux-var ... v ...) new-clause ...)))]))

;; Compile-time helper functions
(begin-for-syntax
  ;; clause-count-subgoals : Syntax -> Nat
  (define (clause-count-subgoals clause)
    (syntax-case clause ()
      [((a ...) subgoal ...)
       (length (syntax->list #'(subgoal ...)))]))

  ;; rewrite-clause : Syntax (Listof Identifier) -> Syntax
  ;;    ((a ...) (subgoalfn_0 e ...) ... (subgoalfn_n e ...))
  ;; => ((a ... aux_0 aux_n+1)
  ;;     (subgoalfn_0 e ... aux_0 aux_1) ...
  ;;     (subgoalfn_n e ... aux_n aux_n+1))
  (define (rewrite-clause clause all-aux-vars)
    (define subgoal-count (clause-count-subgoals clause))
    (define aux-vars (take all-aux-vars (add1 subgoal-count)))
    (syntax-case clause ()
      [((a ...) subgoal ...)
       (with-syntax
           ([(new-subgoal ...)
             (for/list ([subgoal (in-list (syntax->list #'(subgoal ...)))]
                        [start-aux (in-list (drop-right aux-vars 1))]
                        [end-aux   (in-list (drop aux-vars 1))])
               (rewrite-subgoal subgoal start-aux end-aux))]
            [start-aux (first aux-vars)]
            [end-aux   (last aux-vars)])
         #'((a ... start-aux end-aux) new-subgoal ...))]))

  ;; rewrite-subgoal : Syntax Identifier Identifier -> Syntax
  ;; (subgoalfn_k e ...) => (subgoalfn_k var_k var_k+1 e ...)
  (define (rewrite-subgoal subgoal start-aux end-aux)
    (syntax-case subgoal ()
      [(subgoalfn e ...)
       (with-syntax ([start-aux start-aux]
                     [end-aux end-aux])
         #'(subgoalfn e ... start-aux end-aux))]))
  )


I changed a few things that weren't strictly related to the syntax->datum bug. For example, I used generate-temporaries instead of creating symbols with predictable names.

The rewrite uncovered another bug: the original code added the extra arguments to the front of the pattern list but the end of the subgoal applications.

Ryan


On 04/20/2014 10:26 AM, Scott Brown wrote:
I am trying to write a Definite Clause Grammar syntax for Racklog, analogous to 
Prolog's DCG extension. Basically, I have created a syntax definition %rule so 
that:

(define %sentence (%rule () [() (%noun-phrase) (%verb-phrase)]))

would be redefined as:

(define %sentence (%rel (s0 s1 s) [(s0 s) (%noun-phrase s0 s1) (%verb-phrase s1 
s)]))

This code that I have so far works:

#lang racket
(require racklog (for-syntax racket))

;;; Define a rule using DCG notation.
(define-syntax (%rule stx)
   (syntax-case stx ()
     [(_ (v ...) ((a ...) subgoal ...) ...)
      (with-syntax ([gls (for/list ([g (syntax->list #'(((a ...) subgoal ...) 
...))]) (length (syntax->list g)))])
        (with-syntax ([rule (append '(%rel)
                                    (list (append (for/list ([i (in-range (sub1 
(apply max (syntax->datum #'gls))))])
                                                    (string->symbol (~a "s" 
i))) '(s) #'(v ...)))
                                    (for/list ([g (syntax->datum #'(((a ...) 
subgoal ...) ...))])
                                      (cons (append '(s0 s) (first g))
                                            (for/list ([sg (rest g)]
                                                       [i (in-range (length 
(rest g)))])
                                              (append sg (list (string->symbol (~a 
"s" i))
                                                               (if (= i (sub1 
(length (rest g)))) 's
                                                                   (string->symbol (~a 
"s" (add1 i))))))))))])
          #'rule))]))

;;; Define a terminal using DCG notation.
(define-syntax (%term stx)
   (syntax-case stx ()
     [(%term (t ...) ...) #'(%rel (x) [((append '(t ...) x) x)] ...)]))

;;; A simple English grammar in DCG notation.
(define %sentence (%rule () [() (%noun-phrase) (%verb-phrase)]))
(define %noun-phrase (%rule () [() (%proper-noun)]
                                [() (%det) (%noun)]
                                [() (%det) (%noun) (%rel-clause)]))
(define %verb-phrase (%rule () [() (%trans-verb) (%noun-phrase)]
                                [() (%intrans-verb)]))
(define %rel-clause (%rule () [() (%dem-pronoun) (%verb-phrase)]))
(define %det (%term [the] [every] [a]))
(define %noun (%term [cat] [bat]))
(define %proper-noun (%term [john] [mary]))
(define %dem-pronoun (%term [that]))
(define %trans-verb (%term [eats]))
(define %intrans-verb (%term [lives]))

;;; Tests
(%which (x) (%sentence x null))
(%which () (%sentence '(a cat eats the bat) null))
(%which (x) (%noun x null))


The problem I am having is that while this works when %rule is included in the same 
module (as above), when I move %rule and %term into a different module, I get the error 
"%noun-phrase: unbound identifier in module in: %noun-phrase". I suspect that 
it is some kind of a namespace issue, or possibly a phase issue.

I have tried rewriting %rule a couple of different ways (one using syntax-rules 
rather than syntax-case, and another using quasiquote/unquote rather than 
with-syntax). Neither of which worked. Anyhow, I've spent a lot of time trying 
to figure this out, and I finally am at the point where I need some help.

-Scott




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