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#lang racket
(require (except-in rackunit check))
(require "../research/dll.rkt")
(define-test-suite let-set-inc-case
(check-exn
exn:fail?
(λ () (infer '
(let (id : (Nat → 1 Nat)) (λ x x)
(let (r : (Ref (Nat → 1 Nat))) (new id)
(let (f : (Nat → 3 Nat)) (λ x ((! r) x))
(set r f
(f 0))))))))
(check-eq?
(infer '
(let (id : (Nat → 1 Nat)) (λ x x)
(let (r : (Ref (Nat → 1 Nat))) (new id)
(let (f : (Nat → 3 Nat)) (λ x ((! r) x))
(f 0)))))
'Nat)
(check-eq?
(check '
(let (id : (Nat → 1 Nat)) (λ x x)
(let (r : (Ref (Nat → 1 Nat))) (new id)
(let (f : (Nat → 3 Nat)) (λ x ((! r) x))
(f 0))))
'Nat)
#t)
(check-eq? (interpret '(if #t 1 0)) 1)
(check-eq? (interpret '(type Natural Nat ((λ (x : Natural) (inc x)) 1))) 2)
(check-eq? (infer '(type Natural Nat ((λ (x : Natural) (inc x)) 1))) 'Nat)
(check-true (check '(type Natural Nat ((λ (x : Natural) (inc x)) 1)) 'Nat))
(check-equal?
(infer
'(case ((inr sole) : (Nat ⊕ Unit))
(x ⇒ 0) (x ⇒ 1))) 'Nat)
(check-true
(check
'(case ((inr sole) : (Nat ⊕ Unit))
(x ⇒ x)
(x ⇒ 1)) 'Nat))
(check-equal?
(interpret
'((λ p1 (car (unfold p1)))
(fold
(pair 413
(pair (inl sole)
(inl sole))))))
413))
;; initial implementation of doubly linked lists:
;; (type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit)))))
(define-test-suite dll-no-empty-lists
(check-equal?
(interpret '(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(let get
(λ x (car (unfold x)))
(let my_list
(fold
(pair 413
(pair (inl sole)
(inl sole))))
(get my_list)))))
413)
(check-equal?
(interpret '(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(let prev
(λ x
(case (car (cdr (unfold x)))
(x ⇒ (inl (! x)))
(x ⇒ (inr sole))))
(let my_list
(fold
(pair 413
(pair (inl (new sole))
(inl (new sole)))))
(prev my_list)))))
'(inl sole))
(check-equal?
(interpret '(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(let next
(λ x
(case (cdr (cdr (unfold x)))
(x ⇒ (inl (! x)))
(x ⇒ (inr sole))))
(let my_list
(fold
(pair 413
(pair (inr (new sole))
(inr (new sole)))))
(next my_list)))))
'(inr sole))
(check-true
(equiv-type
(infer '(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(λ (self : DoublyLinkedList)
(case (cdr (cdr (unfold self)))
(x ⇒ ((inl (! x)) : (DoublyLinkedList ⊕ Unit)))
(x ⇒ ((inr sole) : (DoublyLinkedList ⊕ Unit)))))))
'(DoublyLinkedList → 1 (DoublyLinkedList ⊕ Unit))
#hash((DoublyLinkedList . (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))))))
(check-true
(check
'(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(λ (self : DoublyLinkedList)
(case (cdr (cdr (unfold self)))
(x ⇒ ((inl (! x)) : (DoublyLinkedList ⊕ Unit)))
(x ⇒ ((inr sole) : (DoublyLinkedList ⊕ Unit))))))
'(DoublyLinkedList → 1 (DoublyLinkedList ⊕ Unit))))
(check-equal?
(infer '(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(let (get : (DoublyLinkedList → 1 Nat))
(λ self (car (unfold self)))
(let (prev : (DoublyLinkedList → 1 (DoublyLinkedList ⊕ Unit)))
(λ self
(case (car (cdr (unfold self)))
(x ⇒ (inl (! x)))
(x ⇒ (inr sole))))
(let (next : (DoublyLinkedList → 1 (DoublyLinkedList ⊕ Unit)))
(λ self
(case (cdr (cdr (unfold self)))
(x ⇒ (inl (! x)))
(x ⇒ (inr sole))))
(let (my_list : DoublyLinkedList)
(fold
(pair 413
(pair ((inr sole) : ((Ref DoublyLinkedList) ⊕ Unit))
((inr sole) : ((Ref DoublyLinkedList) ⊕ Unit)))))
(prev my_list)))))))
'(DoublyLinkedList ⊕ Unit))
(check-true
(check '(type DoublyLinkedList (μ Self (Nat × (((Ref Self) ⊕ Unit) × ((Ref Self) ⊕ Unit))))
(let (get : (DoublyLinkedList → 1 Nat))
(λ self (car (unfold self)))
(let (prev : (DoublyLinkedList → 1 (DoublyLinkedList ⊕ Unit)))
(λ self
(case (car (cdr (unfold self)))
(x ⇒ (inl (! x)))
(x ⇒ (inr sole))))
(let (next : (DoublyLinkedList → 1 (DoublyLinkedList ⊕ Unit)))
(λ self
(case (cdr (cdr (unfold self)))
(x ⇒ (inl (! x)))
(x ⇒ (inr sole))))
(let (my_list : DoublyLinkedList)
(fold
(pair 413
(pair ((inr sole) : ((Ref DoublyLinkedList) ⊕ Unit))
((inr sole) : ((Ref DoublyLinkedList) ⊕ Unit)))))
(prev my_list))))))
'(DoublyLinkedList ⊕ Unit))))
;; new implementation of doubly linked lists:
;; (type DoublyLinkedList (μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit)))
(define-test-suite dll-with-empty-lists
(check-equal?
(interpret
'(let next
(λ self
(case (unfold self)
(some ⇒ (! (cdr (cdr some))))
(none ⇒ (fold (inr sole)))))
(let my_list
(fold
(inl
(pair 413
(pair (new (inr sole))
(new (inr sole))))))
(next my_list))))
'(inr sole))
(check-equal?
(infer '(type DoublyLinkedList (μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit))
(λ (self : DoublyLinkedList)
(case (unfold self)
(some ⇒ ((! (cdr (cdr some))) : DoublyLinkedList))
(none ⇒ ((fold (inr sole)) : DoublyLinkedList))))))
'((μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit)) → 1 (μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit))))
(check-true
(equiv-type
(infer '(type DoublyLinkedList (μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit))
(λ (self : DoublyLinkedList)
(case (unfold self)
(some ⇒ (! (cdr (cdr some))))
(none ⇒ ((fold (inr sole)) : DoublyLinkedList))))))
'(DoublyLinkedList → 1 DoublyLinkedList)
#hash((DoublyLinkedList . (μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit))))))
(check-true
(check '(type DoublyLinkedList (μ Self ((Nat × ((Ref Self) × (Ref Self))) ⊕ Unit))
(let (get : (DoublyLinkedList → 1 (Nat ⊕ Unit)))
(λ self
(case (unfold self)
(some ⇒ (inl (car some)))
(none ⇒ (inr sole))))
(let (prev : (DoublyLinkedList → 1 DoublyLinkedList))
(λ self
(case (unfold self)
(some ⇒ (! (car (cdr some))))
(none ⇒ ((fold (inr sole)) : DoublyLinkedList))))
(let (next : (DoublyLinkedList → 1 DoublyLinkedList))
(λ self
(case (unfold self)
(some ⇒ (! (cdr (cdr some))))
(none ⇒ ((fold (inr sole)) : DoublyLinkedList))))
(let (my_list : DoublyLinkedList)
(fold (inl
(pair 413
(pair (new ((fold (inr sole)) : DoublyLinkedList))
(new ((fold (inr sole)) : DoublyLinkedList))))))
(prev my_list))))))
'DoublyLinkedList)))
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