181 lines
8.2 KiB
Racket
181 lines
8.2 KiB
Racket
#lang s-exp "stlc+define+cons-via-racket-extended.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)
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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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;
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;(check-type (λ ([x : Int]) (printf {Int} "~a\n" x) x) : (Int → Int))
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;(check-type-error (λ ([x : Int]) (printf {String} "~a\n" x) x))
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;(check-type-error (λ ([x : Int]) (printf {Int} 1 x) x))
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;(check-type (λ ([x : Int]) (printf "one") x) : (Int → Int))
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;(check-type-error (λ ([x : Int]) (printf "~a" x) x))
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;(check-type-and-result ((λ ([x : Int]) (printf {Int} "~a\n" x) (+ x 1)) 100) : Int => 101)
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;
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;;; multi arity primops
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;(check-type (λ ([x : Int]) (- 1)) : (Int → Int))
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;(check-type (λ ([x : Int]) (- x x)) : (Int → Int))
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;(check-type (λ ([x : Int]) (- x x x 1)) : (Int → Int))
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;(check-type (λ ([x : Int]) (- x x x x 1)) : (Int → Int))
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;(check-type-and-result ((λ ([x : Int]) (- x x 1)) 10) : Int => -1)
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;(check-type-and-result ((λ ([x : Int]) (- x)) 10) : Int => -10)
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;(check-type-error (λ ([y : Int] [z : Int]) (= y)))
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;(check-type (λ ([y : Int] [z : Int]) (= y z)) : (Int Int → Bool))
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;(check-type (λ ([y : Int] [z : Int]) (= y z z)) : (Int Int → Bool))
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;(check-type-error (λ ([y : Int] [z : Int]) (< y)))
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;(check-type (λ ([y : Int] [z : Int]) (< y z)) : (Int Int → Bool))
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;(check-type (λ ([y : Int] [z : Int]) (< y z z)) : (Int Int → Bool))
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;(check-type (λ ([f : (Int → Int)] [x : Int]) (f x)) : ((Int → Int) Int → Int))
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;;; the following still fails bc varargs not handled
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;;(check-type ((λ ([f : (Int Int → Int)] [x : Int]) (f x x)) + 1) : Int)
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;(check-type-and-result ((λ ([f : (Bool → Bool)] [b : Bool]) (f b)) not #f) : Bool => #t)
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;(check-type-and-result ((λ ([f : (Int → Int)] [n : Int]) (f n)) abs 1) : Int => 1)
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;(check-type-and-result ((λ ([f : (Int → Int)] [n : Int]) (f n)) abs (- 1)) : Int => 1)
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;
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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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;
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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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;
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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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;
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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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;
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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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;
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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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;
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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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(check-type-and-result (if #t 1 2) : Int => 1)
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(check-type-and-result (if #f 1 2) : Int => 2)
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(check-type-error (if #t 1 #f))
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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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;
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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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;
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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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;
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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) |