Environment records for cps conversion, uniq identifiers avoid shadowing, desugar removes all defines
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@@ -40,43 +40,65 @@
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(boolean? x)
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(and (pair? x) (eq? 'quote (car x)))))
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(define-syntax-rule (define-cps-loop name unit)
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(define (name v* k)
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(if (null? v*)
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(k '())
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(unit (car v*)
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(lambda (t)
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(name (cdr v*)
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(lambda (t*)
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(k (cons t t*)))))))))
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;; Environment Records
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;; The idea of an hierarchy of environments comes across often in lexical variable definition
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(define-record-type <environment>
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(make-environment* next values)
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environment?
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(next environment-next)
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(values environment-values))
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(define (make-environment)
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(make-environment* #f '()))
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(define (environment-extend env values)
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(make-environment* env values))
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(define (environment-lookup r n)
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(let loop ([r r]
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[j 0])
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(cond
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[(not r) #f]
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[(list-index (lambda (n0) (eq? n n0)) (environment-values r)) => (lambda (i) (values i j))]
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[else (loop (+ j 1) (environment-next r))])))
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(define (environment-assq r n)
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(let loop ([r r])
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(cond
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[(not r) #f]
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[(assq n (environment-values r)) => identity]
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[else (loop (environment-next r))])))
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(define (environment-assq-set! r k v)
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(set! (environment-values r) (assq-set! k v (environment-values r))))
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;; Desugaring
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;; Transforms to simplify the language
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;; - lambdas and lets can only have 1 expression in body position
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;; - define is always simple binds, function defs bind a lambda
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;; <prgm> ::= <top> ...
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;; <top> ::= <def> | <exp>
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;; <def> ::= (define <var> <exp>)
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;; - defines are decomposed to lets that bind their values and wrap their continuations
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;; <prgm> ::= <exp> ...
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;; <exp> ::= (lambda (<var> ...) <exp>)
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;; | (if <exp> <exp> <exp>)
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;; | (<exp> <exp> ...)
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;; | (let ((<var> <exp>) ...) <exp>)
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;; | (letrec ((<var> <exp>)) <exp> ...)
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;; | (begin <exp> ...)
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;; | <num> | <sym> | <var> | #t | #f
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(define (desugar-prgm prgm)
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(map (lambda (top)
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(if (and (pair? top) (eq? (car top) 'define))
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(desugar-define top)
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(desugar-exp top)))
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prgm))
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(define (desugar-top prgm)
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(match prgm
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[() '()]
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[(('define . _) cont ...) (desugar-define (car prgm) cont)]
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[_ (cons (desugar-exp (car prgm))
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(desugar-top (cdr prgm)))]))
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(define (desugar-define def)
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(define (desugar-define def cont)
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(match def
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[`(define ,(name params ...) . ,e*)
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`(define ,name ,(desugar-exp `(lambda ,params ,@e*)))]
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`(letrec ([,name ,(desugar-exp `(lambda ,params ,@e*))]) ,@(desugar-top cont))]
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[`(define ,name ,exp)
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`(define ,name ,(desugar-exp exp))]))
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`(letrec ([,name ,(desugar-exp exp)]) ,@(desugar-top cont))]))
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(define (desugar-exp exp)
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(match exp
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@@ -97,7 +119,6 @@
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['() '()]
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[(e) (desugar-exp e)]
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[(e* ...) `(begin ,@(map desugar-exp e*))]))
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;; CPS conversion
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;; Re-structure the program into "Continuation Passing Style", where non-atomic
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@@ -125,82 +146,119 @@
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(define undefined-value (make-symbol "undefined"))
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(define (M expr)
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(define (uniq-var n)
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(cons n (gensym (string-append "%" (symbol->string n) "-"))))
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(define (extend-uniq r v*)
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(environment-extend r (map uniq-var v*)))
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(define (ref-uniq r v*)
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(map (lambda (n) (cdr (environment-assq r n))) v*))
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(define (M expr r)
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;; M dispatches to the appropriate transformer
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;; expr -> aexp
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(match expr
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[('lambda (var ...) e)
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(let ([$k (gensym "$k-")])
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`(lambda (,@var ,$k) ,(T-c e $k)))]
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[('lambda (v* ...) e)
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(let ([$k (gensym "$k-")]
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[r0 (extend-uniq r v*)])
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`(lambda (,@(ref-uniq r0 v*) ,$k) ,(T-c e $k r0)))]
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[(? primitive?) `(cps-prim ,expr)]
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[(? symbol?) (cdr (environment-assq r expr))]
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[(? atomic?) expr]))
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(define (T-c expr c)
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(define (T-c expr c r)
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;; T-c takes a symbolic continuation, and uses it to construct CPS
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;; (expr * aexp) -> cexp
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(match expr
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[`(lambda . ,_) `(,c ,(M expr))]
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[ (? atomic?) `(,c ,(M expr))]
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[ ('define v e) (T-k e (lambda ($e) `(letrec ([,v ,$e]) ,c)))]
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[ ('begin e) (T-c e c)]
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[`(lambda . ,_) `(,c ,(M expr r))]
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[ (? atomic?) `(,c ,(M expr r))]
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[ ('define v e)
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(let ([r0 (extend-uniq r (list v))])
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(T-k e (lambda ($e) `(letrec ([,@(ref-uniq r0 (list v)) ,$e]) ,c)) r0))]
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[ ('begin e) (T-c e c r)]
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[ ('begin e e* ...)
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(T-k e (lambda _
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(T-c `(begin ,@e*) c)))]
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(T-c `(begin ,@e*) c r)) r)]
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[ ('let ([v* e*] ...) body)
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(T-c `((lambda (,@v*) ,body) ,@e*) c)]
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(let ([r0 (extend-uniq r v*)])
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(T-c `((lambda (,@(ref-uniq r0 v*)) ,body) ,@e*) c r0))]
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[ ('if exp1 exp2 exp3)
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(let ([$k (gensym "$k-")]) ;; Bind cont to avoid blow up
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`((lambda (,$k)
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,(T-k exp1 (lambda (aexp)
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`(if ,aexp
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,(T-c exp2 $k)
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,(T-c exp3 $k)))))
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,(T-c exp2 $k r)
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,(T-c exp3 $k r))) r))
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,c))]
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[ ('set! var expr)
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(T-k expr (lambda ($expr)
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`(set-then! ,var ,$expr (,c ,undefined-value))))]
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`(set-then! ,var ,$expr (,c ,undefined-value))) r)]
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[ (f e* ...)
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(T-k f (lambda ($f)
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(T*-k e* (lambda ($e*)
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`(,$f ,@$e* ,c)))))]))
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`(,$f ,@$e* ,c)) r)) r)]))
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(define (T-k expr k)
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(define (T-k expr k r)
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;; T-k takes an explicit continuation and calls it when done
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;; As an invariant, T-k cannot nest a T-c call directly
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;; (expr * (aexp -> cexp) -> cexp)
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(match expr
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[`(lambda . ,_) (k (M expr))]
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[ (? atomic?) (k (M expr))]
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[ ('define v e) (T-k e (lambda ($e) `(letrec ([,v ,$e]) ,(k))))]
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[ ('begin e) (T-k e k)]
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[`(lambda . ,_) (k (M expr r))]
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[(? atomic?) (k (M expr r))]
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[('define v e)
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(let ([r0 (extend-uniq r (list v))])
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(T-k e
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(lambda ($e) `(letrec ([,@(ref-uniq r0 (list v)) ,$e]) ,(k)))
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r0))]
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[('begin e) (T-k e k r)]
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[('begin e e* ...)
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(T-k e (lambda _
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(T-k `(begin ,@e*) k)))]
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(T-k e
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(lambda _
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(T-k `(begin ,@e*) k r))
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r)]
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[('let ([v* e*] ...) body)
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(T-k `((lambda (,@v*) ,body) ,@e*) k)]
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(let ([r0 (extend-uniq r v*)])
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(T-k `((lambda (,@(ref-uniq r0 v*)) ,body) ,@e*) k r0))]
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[('if exp1 exp2 exp3)
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(T-k exp1 (lambda ($exp1)
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(T-k exp1
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(lambda ($exp1)
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`(if ,$exp1
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,(T-k exp2 k)
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,(T-k exp3 k))))]
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,(T-k exp2 k r)
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,(T-k exp3 k r)))
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r)]
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[('set! var expr)
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(T-k expr (lambda ($expr)
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`(set-then! ,var ,$expr ,(k undefined-value))))]
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`(set-then! ,var ,$expr ,(k undefined-value)))
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r)]
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[(f e* ...)
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(let* ([$rv (gensym "$rv-")]
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[cont `(lambda (,$rv) ,(k $rv))])
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(T-k f (lambda ($f)
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(T*-k e* (lambda ($e*)
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`(,$f ,@$e* ,cont))))))]))
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(T-k f
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(lambda ($f)
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(T*-k e*
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(lambda ($e*)
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`(,$f ,@$e* ,cont))
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r))
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r))]))
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;; (expr* * (aexp* -> cexp) -> cexp)
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(define-cps-loop T*-k T-k)
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(define (T*-k v* k r)
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(if (null? v*)
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(k '())
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(T-k (car v*)
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(lambda (t) (T*-k (cdr v*)
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(lambda (t*) (k (cons t t*)))
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r))
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r)))
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(define (cps-convert-prgm prgm tail)
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(T-c `(begin ,@prgm) tail))
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(let ([r (make-environment)])
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(T-c `(begin ,@prgm) tail (environment-extend r (list (cons tail tail))))))
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(define* (ir-convert prgm #:optional (tail 'ktail))
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(cps-convert-prgm (desugar-prgm prgm) tail))
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(cps-convert-prgm (desugar-top prgm) tail))
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;; For testing
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(define (cps-prim x)
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