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107 lines
5.0 KiB
Racket
107 lines
5.0 KiB
Racket
#lang racket
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(require rackunit)
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;; This is a naive, direct, structurally recursive interpretation of Nock according
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;; to the nock specification, with cells represented as cons cells and atoms represented
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;; as Racket natural numbers.
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(define (nock-noun subject formula)
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(match formula
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([cons (cons (var b) (var c)) (var d)]
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(cons (nock-noun subject (cons b c)) (nock-noun subject d)))
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([cons 0 (var b)]
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(nock-tree-find subject b))
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([cons 1 (var b)]
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b)
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([cons 2 (cons (var b) (var c))]
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(nock-noun (nock-noun subject b) (nock-noun subject c)))
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([cons 3 (var b)]
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(if (pair? (nock-noun subject b)) 0 1))
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([cons 4 (var b)]
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(+ 1 (nock-noun subject b)))
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([cons 5 (cons (var b) (var c))]
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(if (eqv? (nock-noun subject b) (nock-noun subject c)) 0 1))
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([cons 6 (cons (var b) (cons (var c) (var d)))]
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(if (= 0 (nock-noun subject b))
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(nock-noun subject c)
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(nock-noun subject d)))
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([cons 7 (cons (var b) (var c))]
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(nock-noun (nock-noun subject b) c))
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([cons 8 (cons (var b) (var c))]
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(nock-noun (cons (nock-noun subject b) subject) c))
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([cons 9 (cons (var b) (var c))]
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(let
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([core (nock-noun subject c)])
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(nock-noun core (nock-tree-find core b))))
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([cons 10 (cons (cons (var b) (var c)) (var d))]
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(nock-tree-edit (nock-noun subject c) b (nock-noun subject d)))
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([cons 11 (cons (cons (var b) (var c)) (var d))]
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(let
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([_ (nock-noun subject c)])
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(nock-noun subject d)))
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([cons 11 (cons (var b) (var c))]
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(nock-noun subject c))))
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(define nock-tree-find
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(lambda (tree address)
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(if (= address 1) tree
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(if (even? address)
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(car (nock-tree-find tree (quotient address 2)))
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(cdr (nock-tree-find tree (quotient address 2)))))))
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; # operator in nock spec: tree editing
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(define nock-tree-edit
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(lambda (subtree address tree)
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(if (= address 1) subtree
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(if (even? address)
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(nock-tree-edit (cons subtree (nock-tree-find tree (+ address 1))) (quotient address 2) tree)
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(nock-tree-edit (cons (nock-tree-find tree (- address 1)) subtree) (quotient address 2) tree)))))
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(define nock-here 1)
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(define (nock-car address) (* address 2))
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(define (nock-cdr address) (+ 1 (* address 2)))
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(define (get-0 x) (cons 0 x))
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(define (literal-1 x) (cons 1 x))
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(define (eval-2 x y) (cons 2 (cons x y)))
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(define (cell?-3 x) (cons 3 x))
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(define (inc-4 x) (cons 4 x))
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(define (=-5 x y) (cons 5 (cons x y)))
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(define (if-6 x y z) (cons 6 (cons x (cons y z))))
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(define (compose-7 x y) (cons 7 (cons x y)))
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(define (declare-8 x y) (cons 8 (cons x y)))
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(define (call-9 x y) (cons 9 (cons x y)))
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(define (update-10 x y z) (cons 10 (cons (cons x y) z)))
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(define (hint-11 x y) (cons 11 (cons x y)))
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(define lootru 0)
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(define loofal 1)
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(define test-tree (cons (cons 4 5) 3))
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(define decrement-4-core
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(cons
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(if-6 (=-5 (get-0 (nock-car (nock-cdr nock-here))) (inc-4 (get-0 (nock-cdr (nock-cdr nock-here)))))
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(get-0 (nock-cdr (nock-cdr nock-here)))
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(call-9 (nock-car nock-here) (update-10 (nock-cdr (nock-cdr nock-here)) (inc-4 (get-0 (nock-cdr (nock-cdr nock-here)))) (get-0 nock-here))))
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(cons 4 0)))
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(check-equal? (nock-noun test-tree (get-0 nock-here)) test-tree "tree address 1")
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(check-equal? (nock-noun test-tree (get-0 (nock-car nock-here))) (car test-tree) "tree address 2")
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(check-equal? (nock-noun test-tree (get-0 (nock-cdr nock-here))) (cdr test-tree) "tree address 3")
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(check-equal? (nock-noun test-tree (get-0 (nock-car (nock-car nock-here)))) (car (car test-tree)) "tree address 4")
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(check-equal? (nock-noun test-tree (get-0 (nock-cdr (nock-car nock-here)))) (cdr (car test-tree)) "tree address 5")
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(check-equal? (nock-noun 0 (literal-1 test-tree)) test-tree "literal")
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(check-equal? (nock-noun 0 (eval-2 (literal-1 test-tree) (literal-1 (get-0 2)))) (car test-tree) "eval")
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(check-equal? (nock-noun test-tree (cell?-3 (get-0 1))) lootru "test cell true")
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(check-equal? (nock-noun test-tree (cell?-3 (get-0 3))) loofal "test cell false")
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(check-equal? (nock-noun 0 (inc-4 (literal-1 0))) 1 "increment")
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(check-equal? (nock-noun test-tree (=-5 (literal-1 test-tree) (get-0 1))) lootru "test equals true")
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(check-equal? (nock-noun test-tree (=-5 (literal-1 test-tree) (get-0 2))) loofal "test equals false")
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(check-equal? (nock-noun test-tree (if-6 (literal-1 lootru) (literal-1 5) (get-0 100))) 5 "test if tru")
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(check-equal? (nock-noun test-tree (if-6 (literal-1 loofal) (get-0 100) (literal-1 5))) 5 "test if false")
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(check-equal? (nock-noun 0 (compose-7 (literal-1 test-tree) (get-0 2))) (car test-tree) "test compose")
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(check-equal? (nock-noun 0 (declare-8 (literal-1 test-tree) (get-0 2))) test-tree "test declare")
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(check-equal? (nock-noun 0 (call-9 (nock-car nock-here) (literal-1 decrement-4-core))) 3 "test call")
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(check-equal? (nock-noun 0 (update-10 (nock-cdr nock-here) (literal-1 (cons 6 7)) (literal-1 test-tree))) (cons (cons 4 5) (cons 6 7)) "test update")
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(check-equal? (nock-noun 0 (call-9 (nock-car nock-here) (update-10 (nock-car (nock-cdr nock-here)) (literal-1 8) (literal-1 decrement-4-core)))) 7 "test slam i.e. update sample and call")
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; test 11 static and dynamic
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