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-rw-r--r--stlc-let.rkt46
1 files changed, 33 insertions, 13 deletions
diff --git a/stlc-let.rkt b/stlc-let.rkt
index 0dee262..1c2453f 100644
--- a/stlc-let.rkt
+++ b/stlc-let.rkt
@@ -6,25 +6,37 @@
(define (value? val) (or (number? val) (string? val)))
; note: default arguments MUST all be at the end
+; no function overloading ;_;
;; (interpret Expr Table[Sym, Expr]): Value
-(define (interpret expr [ctx #hash()])
+(define (interpret expr [ctx #hash()]) (interpret- (strip expr) ctx))
+(define (interpret- expr ctx)
(match expr
[val #:when (value? val) val]
[val #:when (symbol? val)
(with-handlers
([exn:fail? (λ (exn) val)])
- (interpret (dict-ref ctx val) ctx))]
- [`(λ ,id ,body) `(λ ,id ,body)]
+ (interpret- (dict-ref ctx val) ctx))]
+ [`(λ ,id ,body) `(λ ,id ,body ,ctx)]
+ [`(λ ,id ,body ,env) `(λ ,id ,body ,env)]
[`(,body ,arg)
- (match (interpret body ctx)
- [`(λ ,id ,body) (interpret body (dict-set ctx id (interpret arg ctx)))]
- [expr `(,(interpret expr ctx) ,(interpret arg ctx))])]
-
- [`((λ ,id (: ,type) ,body) ,arg) (interpret `((λ ,id ,body) ,expr) ctx)]
- [`(let ,id ,expr ,body) (interpret `((λ ,id ,body) ,expr) ctx)]
- [`(let ,id (: ,type) ,expr ,body) (interpret `((λ ,id ,body) ,expr) ctx)]
+ (match (interpret- body ctx)
+ [`(λ ,id ,body) (interpret- body (dict-set ctx id (interpret- arg ctx)))]
+ [`(λ ,id ,body ,env) (interpret- body (dict-set env id (interpret- arg ctx)))]
+ [expr `(,(interpret- expr ctx) ,(interpret- arg ctx))])]
+ ; desugaring and error handling
+ [`(let ,id ,expr ,body) (interpret- `((λ ,id ,body) ,expr) ctx)]
[expr (err (format "interpreting an unknown expression ~a" expr))]))
+;; removes typing annotations. this is helpful for interpretation.
+(define (strip expr)
+ (match expr
+ [`(,a ,b) `(,(strip a) ,(strip b))]
+ [`(λ ,id ,body) `(λ ,id ,(strip body))]
+ [`(let ,id ,expr ,body) `(let ,id ,(strip expr) ,(strip body))]
+ [`(λ ,id (: ,type) ,body) (strip `(λ ,id ,body))]
+ [`(let ,id (: ,type) ,expr ,body) (strip `(let ,id ,expr ,body))]
+ [expr expr]))
+
;; (check Expr Type Table[Sym, Type]): Bool
(define (check expr with [ctx #hash()])
(match expr
@@ -60,9 +72,15 @@
[val #:when (symbol? val) (dict-get ctx val)]
[`((λ ,id ,body) ,arg)
(infer body (dict-set ctx id (infer arg ctx)))]
- [`((λ ,id (: (→ ,a ,b)) ,body) ,arg)
- (if (check `((λ ,id ,body) ,arg) `(: (→ ,a ,b)) ctx)
+ [`(λ ,id (: (→ ,a ,b)) ,body)
+ (note "arg types are unable to be inferred")
+ (if (check body b (dict-set ctx id a))
`(→ ,a ,b)
+ (err (format "inferred return type of ~a does not match annotated type ~a"
+ `(λ ,id ,body) b)))]
+ [`((λ ,id (: (→ ,a ,b)) ,body) ,arg)
+ (if (check `((λ ,id ,body) ,arg) `(→ ,a ,b) ctx)
+ b
(err (format "inferred type of ~a does not match annotated type ~a"
`((λ ,id ,body) ,arg) `(: (→ ,a ,b)))))]
[`(let ,id ,expr ,body) ; desugaring
@@ -78,7 +96,9 @@
(dict-ref dict key (λ () (err (format "identifier ~a not found" key)))))
(require rackunit)
-(check-equal? (interpret '(λ x x)) '(λ x x))
+(check-equal? (interpret '(λ x x)) '(λ x x #hash()))
(check-equal? (interpret '((λ a a) (x y))) '(x y))
(check-equal? (interpret '((λ a (x y)) (λ z z))) '(x y))
(check-equal? (interpret '((λ a (a y)) x)) '(x y))
+
+; todo: inference tests