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; https://web.cs.ucdavis.edu/~devanbu/teaching/260/kohlbecker.pdf
(define-library (csc macros)
(export
expand-program
list-builtins)
(import (scheme base)
(only (scheme case-lambda) case-lambda)
(prefix (csc gensym) gensym.)
(prefix (csc ir) ir.)
(prefix (csc list) list.)
(prefix (csc map) map.))
(import (scheme write))
(begin
; Macro expansion is a function on an stree, to a simplified form called
; the lambda-term. An stree is one of:
; - symbol
; - constant (null, boolean, char, bytevector, number, string, or vector)
; - list of stree (function call or macro application)
;
; A lambda-term is one of:
; - symbol
; - constant
; - list of stree (only function call this time)
; - or one of a number of special forms defined in ir.scheme.
;
; A lambda-term is the same as an stree, except there are no remaining
; macro applications. In other words, we are expanding the macros.
(define-record-type <toplevel-define>
(make-toplevel-define var body)
toplevel-define?
(var toplevel-define-var)
(body toplevel-define-body))
(define-record-type <tsvar>
(make-tsvar var timestamp)
tsvar?
(var tsvar-var)
(timestamp tsvar-ts))
(define (stamper ts)
(lambda (var)
(make-tsvar var ts)))
(define (constant? x)
(or (boolean? x)
(char? x)
(bytevector? x)
(number? x)
(string? x)
(vector? x)))
; timestamp stamps all unstamped symbols.
(define (timestamp tree stamp)
(cond
((ir.libvar? tree)
(stamp tree))
((list? tree)
(map (lambda (x) (timestamp x stamp)) tree))
((constant? tree) tree)
(else (error "unexpected form in timestamp" tree))))
(define (lookup-macro env var)
(define binding1 (map.lookup env var #f))
(if (procedure? binding1)
binding1
; Check for var in the global namespace.
(let ((binding2 (map.lookup env (make-tsvar (tsvar-var var) 0) #f)))
(and (procedure? binding2)
binding2))))
; expand expands all macros in a timestamped stree.
(define (expand tree env time)
(cond
((and (pair? tree)
(tsvar? (car tree))
(lookup-macro env (car tree))) =>
(lambda (transformer)
(transformer tree env time)))
((null? tree)
(error "nil by itself is an error"))
((list? tree)
(ir.make-apply
(expand (car tree) env time)
(list
(list.foldr
(lambda (x acc)
(ir.make-call-builtin 'cons
(list
(expand x env time)
acc)))
(ir.make-const '())
(cdr tree)))))
((tsvar? tree)
(or (map.lookup env tree #f)
tree)) ; Global variables are still unresolved.
((constant? tree)
(ir.make-const tree))
(else (error "unexpected form in expand" tree))))
(define (map-ir1 f expr)
(cond
((toplevel-define? expr)
(make-toplevel-define (f (toplevel-define-var expr)) (f (toplevel-define-body expr))))
((ir.lambda? expr)
(ir.make-lambda (map f (ir.lambda-vars expr)) (f (ir.lambda-body expr))))
((ir.letrec? expr)
(ir.make-letrec (map (lambda (func) (cons (f (car func)) (f (cdr func)))) (ir.letrec-funcs expr)) (f (ir.letrec-body expr))))
((ir.apply? expr)
(ir.make-apply (f (ir.apply-func expr)) (map f (ir.apply-args expr))))
((ir.sequence? expr)
(ir.make-sequence (f (ir.sequence-head expr)) (f (ir.sequence-tail expr))))
((ir.set? expr)
(ir.make-set (f (ir.set-var expr)) (f (ir.set-body expr))))
((ir.call-builtin? expr)
(ir.make-call-builtin (ir.call-builtin-name expr) (map f (ir.call-builtin-args expr))))
((or (tsvar? expr)
(gensym.gensym? expr)
(ir.const? expr))
expr)
((ir.void? expr) ir.*void*)
(else (error "unexpected form in map-ir1"))))
(define (fold-ir1 f acc expr)
(cond
((toplevel-define? expr)
(f (f acc (toplevel-define-var expr)) (toplevel-define-body expr)))
((ir.lambda? expr)
(f (list.foldl f acc (ir.lambda-vars expr)) (ir.lambda-body expr)))
((ir.letrec? expr)
(f (list.foldl (lambda (acc x) (f (f acc (car x)) (cdr x))) acc (ir.letrec-funcs expr)) (ir.letrec-body expr)))
((ir.apply? expr)
(list.foldl f (f acc (ir.apply-func expr)) (ir.apply-args expr)))
((ir.sequence? expr)
(f (f acc (ir.sequence-head expr)) (ir.sequence-tail expr)))
((ir.set? expr)
(f (f acc (ir.set-var expr)) (ir.set-body expr)))
((ir.call-builtin? expr)
(list.foldl f acc (ir.call-builtin-args expr)))
((or (tsvar? expr)
(gensym.gensym? expr)
(ir.const? expr)
(ir.void? expr))
acc)
(else (error "unexpected form in fold-ir1" expr))))
(define (cmp-strings s1 s2)
(cond
((string=? s1 s2)
0)
((string<? s1 s2)
-1)
(else 1)))
(define (cmp-libvar x y)
(define d (cmp-strings (ir.libvar-lib x)
(ir.libvar-lib y)))
(if (zero? d)
(cmp-strings (ir.libvar-var x) (ir.libvar-var y))
d))
(define *empty-libvar-map* (map.empty cmp-libvar))
(define (cmp-tsvar v1 v2)
(define d (- (tsvar-ts v1) (tsvar-ts v2)))
(if (zero? d)
(cmp-libvar (tsvar-var v1) (tsvar-var v2))
d))
(define *empty-tsvar-map* (map.empty cmp-tsvar))
(define (expand-body prog env time)
(let loop ((prog prog)
(env env)
(time time))
(if (null? prog)
'()
(let ((expanded (expand (car prog) env time)))
(cond
((and (toplevel-define? expanded)
(procedure? (toplevel-define-body expanded)))
(loop (cdr prog)
(map.insert env (toplevel-define-var expanded) (toplevel-define-body expanded))
(+ 1 time)))
(else
(cons expanded
(loop (cdr prog) env (+ 1 time)))))))))
(define (remaining-defines? expr)
(or (toplevel-define? expr)
(fold-ir1 (lambda (acc x) (or acc (remaining-defines? x))) #f expr)))
(define (rewrite-body body)
(define funcs
(list.map-maybe
(lambda (x)
(and (toplevel-define? x)
(ir.lambda? (toplevel-define-body x))
(cons (toplevel-define-var x) (toplevel-define-body x))))
body))
(define exprs
(list.filter
(lambda (x)
(not (and (toplevel-define? x)
(ir.lambda? (toplevel-define-body x)))))
body))
(define new-body
(list.foldr
(lambda (x acc)
(if (toplevel-define? x)
(ir.make-apply (ir.make-lambda (list (toplevel-define-var x)) acc) (list ir.*void*))
acc))
(ir.make-letrec funcs
(list.foldl
(lambda (acc x)
(ir.make-sequence acc
(if (toplevel-define? x)
(ir.make-set (toplevel-define-var x) (toplevel-define-body x))
x)))
ir.*void*
exprs))
exprs))
(when (remaining-defines? new-body)
(error "definition in expression context"))
new-body)
; remaining-symbols returns the timestamped symbols in tree.
(define (remaining-symbols tree)
(cond
((tsvar? tree)
; These free variables should be unstamped, since they refer to
; toplevel bindings.
(map.singleton cmp-strings (tsvar-var tree) (gensym.gen)))
(else
(fold-ir1
(lambda (acc x)
(map.union acc (remaining-symbols x)))
*empty-libvar-map*
tree))))
(define (unstamp-tree tree symbols)
(cond
((tsvar? tree)
(map.lookup symbols (tsvar-var tree)))
(else (map-ir1 (lambda (x) (unstamp-tree x symbols)) tree))))
; unstamp changes the timestamped symbols in expr into gensyms.
(define (unstamp expr)
(unstamp-tree expr (remaining-symbols expr)))
(define (builtin-define expr env time)
(unless (and (list? expr)
(= (length expr) 3)
(tsvar? (cadr expr)))
(error "invalid form in builtin-define"))
(let-values (((var body) (apply values (cdr expr))))
(make-toplevel-define var (expand body env (+ 1 time)))))
(define (builtin-lambda expr env time)
(unless (and (list? expr)
(>= (length expr) 3)
(tsvar? (cadr expr)))
(error "invalid form in builtin-lambda"))
(let ((var (cadr expr))
(body (cddr expr))
(new-var (gensym.gen)))
(define env* (map.insert env var new-var))
(define expanded-body (expand-body body env* (+ 1 time)))
(define exprs
(let loop ((body expanded-body))
(if (or (null? body)
(not (toplevel-define? (car body))))
body
(loop (cdr body)))))
(when (list.any remaining-defines? exprs)
(error "out of order define"))
(ir.make-lambda (list new-var) (rewrite-body expanded-body))))
(define (builtin-call-builtin expr env time)
(unless (and (list? expr)
(>= (length expr) 2)
(tsvar? (cadr expr)))
(error "invalid form in builtin-call-builtin"))
(let ((builtin-name (tsvar-var (cadr expr)))
(args (cddr expr)))
(ir.make-call-builtin (string->symbol (ir.libvar-var builtin-name))
(map
(lambda (arg)
(expand arg env (+ 1 time)))
args))))
(define *builtins-environment*
(list.foldl
(lambda (acc x)
(map.insert acc (make-tsvar (ir.make-libvar "(csc builtins)" (car x)) 0) (cdr x)))
*empty-tsvar-map*
(list (cons "define" builtin-define)
(cons "lambda" builtin-lambda)
(cons "call-builtin" builtin-call-builtin))))
; Damn I can't believe we didn't actually implement syntax-rules.
(define (list-builtins)
(map
(lambda (x)
(string->symbol (ir.libvar-var (tsvar-var (car x)))))
(map.map->list *builtins-environment*)))
(define (expand-program prog)
(unstamp
(rewrite-body
(expand-body
(map
(lambda (x)
(timestamp x (stamper 0)))
prog)
*builtins-environment*
1))))))
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