stlc: use define-primop; rename stlc-test stlc-tests.rkt
This commit is contained in:
Stephen Chang
parent
dc3409fe20
commit
ea5d0d1a02
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@ -125,7 +125,7 @@
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...
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[(_ . x)
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#:when (type-error #:src stx #:msg "Don't know the type for literal: ~a" #'x)
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stx]))
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(syntax/loc stx (#%datum . x))]))
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(template
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(#%module-begin
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(provide (rename-out [my-datum #%datum]))
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@ -1,5 +0,0 @@
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#lang s-exp "stlc-via-racket-extended.rkt"
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((λ ([f : (Int → Int)] [x : Int]) (f x))
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(λ ([x : Int]) (+ x x 2))
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10)
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((λ ([x : Int]) (+ x 1 3)) 100)
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156
stlc-tests.rkt
156
stlc-tests.rkt
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@ -1,151 +1,5 @@
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#lang s-exp "stlc+define+cons.rkt"
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(check-type-error ((λ ([x : Int]) (+ x 1)) "10"))
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(check-type ((λ ([x : Int]) (+ x 1)) 10) : Int)
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(check-equal? ((λ ([x : Int]) (+ x 1)) 10) 11) ; identifier used out of context
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(check-type-and-result ((λ ([x : Int]) (+ x 1)) 10) : Int => 11)
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; check fns with literal or id bodies
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(check-type (λ ([x : Int]) x) : (Int → Int))
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(check-type (λ ([x : Unit] [y : Int]) x y) : (Unit Int → Int))
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;; check fns with multi-expr body
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(check-type (λ ([x : Int]) (void) x) : (Int → Int))
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(check-type-error (λ ([x : Int]) 1 x))
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(check-type (λ ([x : Int]) (void) (void) x) : (Int → Int))
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; HO fn
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(check-type-and-result ((λ ([f : (Int → Int)]) (f 10)) (λ ([x : Int]) (+ x 1))) : Int => 11)
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(check-type (λ ([f : (Int → Int)]) (f 10)) : ((Int → Int) → Int))
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(check-type (λ ([f : (Int → Int)]) (λ ([x : Int]) (f (f x)))) : ((Int → Int) → (Int → Int)))
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(check-type-error (λ (f : (Int → Int)) (λ (x : String) (f (f x)))))
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;; shadowed var
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(check-type-error ((λ ([x : Int]) ((λ ([x : String]) x) x)) 10))
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(check-type-and-result ((λ ([x : String]) ((λ ([x : Int]) (+ x 1)) 10)) "ten") : Int => 11)
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;; let
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(check-type-and-result (let ([x 1] [y 2]) (+ x y)) : Int => 3)
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(check-type-error (let ([x 1] [y "two"]) (+ x y)))
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(check-type-and-result (let ([x "one"]) (let ([x 2]) (+ x x))) : Int => 4)
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;; lists
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(check-type-and-result (first {Int} (cons {Int} 1 (null {Int}))) : Int => 1)
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(check-type-and-result (rest {Int} (cons {Int} 1 (null {Int}))) : (Listof Int) => (null {Int}))
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(check-type-error (cons {Int} 1 (null {String})))
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(check-type-error (cons {Int} "one" (null {Int})))
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(check-type-error (cons {String} 1 (null {Int})))
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(check-type-error (cons {String} 1 (null {Int})))
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(check-type-error (cons {String} "one" (cons {Int} "two" (null {String}))))
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(check-type-and-result (first {String} (cons {String} "one" (cons {String} "two" (null {String}))))
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: String => "one")
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(check-type-and-result (null? {String} (null {String})) : Bool => #t)
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(check-type-and-result (null? {String} (cons {String} "one" (null {String}))) : Bool => #f)
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(check-type-error (null? {String} (null {Int})))
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(check-type-error (null? {Int} (null {String})))
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(check-type-error (null? {Int} 1))
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(check-type-error (null? {Int} "one"))
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(check-type-error (null? {Int} (cons {String} "one" (null {String}))))
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; begin and void
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(check-type (void) : Unit)
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(check-type-and-result (begin (void) 1) : Int => 1)
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(check-type-and-result (begin (void) (void) 1) : Int => 1)
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(check-type-and-result (begin (void) (void) (void)) : Unit => (void))
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(check-type-and-result (begin (+ 1 2)) : Int => 3)
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(check-type-error (begin 1 2))
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(check-type (λ ([x : Int]) (void) (+ x 1)) : (Int → Int))
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(check-type-error (λ ([x : Int]) 1 1))
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(check-type (λ ([x : Int] [y : Int]) (+ x y)) : (Int Int → Int))
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(check-type-and-result ((λ ([a : Int] [b : Int] [c : Int]) (void) (void) (+ a (+ b c))) 1 2 3)
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: Int => 6)
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; define
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(define (g [y : Int]) : Int
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(+ (f y) 1))
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(define (f [x : Int]) : Int
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(+ x 1))
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(check-type-and-result (f 10) : Int => 11)
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(check-type-and-result (g 100) : Int => 102)
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(check-not-type (f 10) : String)
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(check-not-type (g 100) : String)
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;; if
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(check-type-and-result (if (null? {Int} (null {Int})) 1 2) : Int => 1)
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(check-type-and-result (if (null? {Int} (cons {Int} 1 (null {Int}))) 1 2) : Int => 2)
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(check-type-error (if (null? {Int} (null {Int})) 1 "one"))
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(check-type-error (if (null? {Int} (null {Int})) "one" 1))
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(check-type-error (if 1 2 3))
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;;; recursive fn
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(define (add1 [x : Int]) : Int
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(+ x 1))
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(define (map [f : (Int → Int)] [lst : (Listof Int)]) : (Listof Int)
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(if (null? {Int} lst)
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(null {Int})
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(cons {Int} (f (first {Int} lst)) (map f (rest {Int} lst)))))
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(check-type-and-result (map add1 (cons {Int} 1 (cons {Int} 2 (null {Int}))))
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: (Listof Int)
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=> (cons {Int} 2 (cons {Int} 3 (null {Int}))))
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(check-not-type (map add1 (cons {Int} 1 (cons {Int} 2 (null {Int}))))
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: (Listof String))
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;; recursive types
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(define (a [x : Int]) : Int (b x))
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(define (b [x : Int]) : Int (a x))
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(define (ff [x : Int]) : Int (ff x))
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;; define-type (non parametric)
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(define-type MaybeInt (variant (None) (Just Int)))
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(check-type (None) : MaybeInt)
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(check-type (Just 10) : MaybeInt)
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(check-type-error (Just "ten"))
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(check-type-error (Just (None)))
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(define (maybeint->bool [maybint : MaybeInt]) : Bool
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(cases maybint
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[None () #f]
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[Just (x) #t]))
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(check-type-and-result (maybeint->bool (None)) : Bool => #f)
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(check-type-and-result (maybeint->bool (Just 25)) : Bool => #t)
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(check-type-error (maybeint->bool 25))
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(check-type-error (define (maybeint->wrong [maybint : MaybeInt])
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(cases maybint
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[None () #f]
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[Just (x) x])))
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(define-type IntList (variant (Null) (Cons Int IntList)))
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(check-type-and-result (Null) : IntList => (Null))
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(check-type-and-result (Cons 1 (Null)) : IntList => (Cons 1 (Null)))
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(check-type-error (Cons "one" (Null)))
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(check-type-error (Cons 1 2))
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(define (map/IntList [f : (Int → Int)] [lst : IntList]) : IntList
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(cases lst
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[Null () (Null)]
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[Cons (x xs) (Cons (f x) (map/IntList f xs))]))
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(check-type-and-result (map/IntList add1 (Null)) : IntList => (Null))
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(check-type-and-result (map/IntList add1 (Cons 1 (Null))) : IntList => (Cons 2 (Null)))
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(check-type-and-result (map/IntList add1 (Cons 2 (Cons 1 (Null))))
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: IntList => (Cons 3 (Cons 2 (Null))))
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(check-type-error (map/IntList (λ ([n : Int]) #f) (Null)))
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(define-type BoolList (variant (BoolNull) (BoolCons Bool BoolList)))
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(define (map/BoolList [f : (Bool → Int)] [lst : BoolList]) : IntList
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(cases lst
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[BoolNull () (Null)]
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[BoolCons (x xs) (Cons (f x) (map/BoolList f xs))]))
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(check-type (map/BoolList (λ ([b : Bool]) (if b 0 1)) (BoolNull)) : IntList)
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(check-type-and-result
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(map/BoolList (λ ([b : Bool]) (if b 0 1)) (BoolCons #f (BoolNull)))
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: IntList => (Cons 1 (Null)))
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(check-not-type (map/BoolList (λ ([b : Bool]) (if b 0 1)) (BoolNull)) : BoolList)
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;; check typename is available
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(check-type (λ ([lst : IntList])
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(cases lst
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[Null () (None)]
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[Cons (x xs) (Just x)]))
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: (IntList → MaybeInt))
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(check-type ((λ ([lst : IntList])
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(cases lst
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[Null () (None)]
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[Cons (x xs) (Just x)]))
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(Null)) : MaybeInt)
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#lang s-exp "stlc.rkt";"stlc-via-racket-extended.rkt"
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((λ ([f : (Int → Int)] [x : Int]) (f x))
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(λ ([x : Int]) (+ x x 1))
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10)
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((λ ([x : Int]) (+ x 1 3)) 100)
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@ -5,7 +5,7 @@
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;; Simply-Typed Lambda Calculus
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;; - implemented with racket-extended language
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;; - lam, app, and var only
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;; - lam, app, var, +, and int literals only
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(declare-built-in-types → Int)
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16
stlc.rkt
16
stlc.rkt
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@ -4,14 +4,15 @@
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syntax/stx racket/syntax
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"stx-utils.rkt")
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"typecheck.rkt")
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(provide (rename-out [λ/tc λ] [app/tc #%app] [datum/tc #%datum] [+/tc +]))
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(provide (rename-out [λ/tc λ] [app/tc #%app] [datum/tc #%datum]))
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(provide #%module-begin #%top-interaction)
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;; Simply-Typed Lambda Calculus
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;; - lam, app, and var only
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;; - lam, app, var, +, and int literals only
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;; - implemented in racket
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(define-and-provide-builtin-types → Int)
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(provide (for-syntax assert-Int-type))
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(define-for-syntax (assert-Int-type e) (assert-type e #'Int))
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;; typed forms ----------------------------------------------------------------
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@ -20,17 +21,12 @@
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(define-syntax (datum/tc stx)
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(syntax-parse stx
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[(_ . n:integer) (⊢ (syntax/loc stx (#%datum . n)) #'Int)]
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[(_ x)
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#:when (type-error #:src #'x #:msg "~a has unknown type" #'x)
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[(_ . x)
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#:when (type-error #:src #'x #:msg "Literal ~a has unknown type." #'x)
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(syntax/loc stx (#%datum . x))]))
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;; op
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(define-syntax (+/tc stx)
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(syntax-parse stx
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[(_ e ...)
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#:with es+ (stx-map expand/df #'(e ...))
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#:when (stx-andmap assert-Int-type #'es+)
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(⊢ (syntax/loc stx (+ . es+)) #'Int)]))
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(define-primop + : (Int ... → Int))
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;; lambda
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(define-syntax (λ/tc stx)
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