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6-booleans.rkt
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6-booleans.rkt
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#lang racket
(define (lookup env s)
(match env
[(list (cons name val) rest ...)
(if (equal? name s)
val
(lookup rest s))]
[(list)
(error 'unknown (~a s))]))
(define (primitive fun)
(λ (continue . args)
(continue (apply fun args))))
(define primitives
(list (cons '+ (primitive +))
(cons '- (primitive -))
(cons '/ (primitive /))
(cons '* (primitive *))
(cons '= (primitive =))
(cons '< (primitive <))
(cons '<= (primitive <=))
(cons '> (primitive >))
(cons '>= (primitive >=))))
(define (extend-environment env names values)
(append (map cons names values) env))
(define (make-function env parameters body)
(λ (continue . arguments)
(define new-env (extend-environment env parameters arguments))
(eval-sequence new-env
continue
body)))
(define (eval-arguments env continue args)
(match args
['() (continue '())]
[(list arg rest ...)
(eval-exp env
(λ (arg-val)
(eval-arguments env
(λ (rest-val)
(continue (cons arg-val rest-val)))
rest))
arg)]))
(define (eval-application env continue fun args)
(eval-exp env
(λ (fun-val)
(eval-arguments env
(λ (args-val)
(apply fun-val continue args-val))
args))
fun))
(define (eval-sequence env continue terms)
(match terms
[(list exp) (eval-exp env continue exp)]
[(list (list 'define name exp) rest ...)
(eval-exp env
(λ (value)
(define new-env (extend-environment env (list name)(list value)))
(eval-sequence new-env continue rest))
exp)]
[(list trm rest ...)
(eval-exp env
(λ (ignored)
(eval-sequence env continue rest))
trm)]))
(define (eval-exp env continue exp)
(match exp
[(? symbol?) (continue (lookup env exp))]
[(? number?) (continue exp)]
[(? boolean?) (continue exp)]
[(list 'if exp then else)
(eval-exp env
(λ (value) (eval-exp env continue (if value then else)))
exp)]
[(list 'begin terms ...) (eval-sequence env continue terms)]
[(list 'λ parameters body ...) (continue (make-function env parameters body))]
[(list 'lambda parameters body ...) (continue (make-function env parameters body))]
[(list fun args ...) (eval-application env continue fun args)]
[_ (error 'wat (~a exp))]))
(define (evaluate input)
(eval-exp primitives
identity
input))
(define (repl)
(printf "> ")
(define input (read))
(unless (eof-object? input)
(define output (evaluate input))
(printf "~a~n" output)
(repl)))
(module+ test
(require rackunit)
(check-equal?
(evaluate '(+ 1 2))
3)
(check-equal?
(evaluate '(+ 1 2 3))
6)
(check-equal?
(evaluate '(- 2 1))
1)
(check-equal?
(evaluate '(* 2 4))
8)
(check-equal?
(evaluate '(/ 8 2))
4)
(check-equal?
(evaluate '(* 2 (+ 1 (- 4 2))))
6)
(check-exn
exn:fail?
(λ ()
(eval '(foo 1 2))))
(check-equal?
(lookup (list (cons 'a 1)
(cons 'b 2))
'a)
1)
(check-equal?
(lookup (list (cons 'a 1)
(cons 'b 2))
'b)
2)
(check-equal?
(lookup (list (cons 'a 0)
(cons 'a 1)
(cons 'b 2))
'a)
0)
(check-exn
exn:fail?
(λ ()
(lookup (list (cons 'a 1)
(cons 'b 2))
'c))
0)
(check-equal?
(extend-environment (list (cons 'd 2) (cons 'e 1))
(list 'a 'b 'c)
(list 5 4 3))
(list (cons 'a 5) (cons 'b 4) (cons 'c 3) (cons 'd 2) (cons 'e 1)))
(check-equal?
(evaluate
'(begin
(define a 2)
(define b 3)
(+ a b)))
5)
(check-equal?
(evaluate
'(begin
(define a 2)
(define a 3)
(+ a a)))
6)
(check-equal?
(evaluate '((λ () (+ 2 3))))
5)
(check-equal?
(evaluate '((lambda (x y) (+ x y)) 3 4))
7)
(check-equal?
(evaluate
'((lambda ()
(define a 2)
(define b 3)
(+ a b))))
5)
(check-equal?
(evaluate
'((lambda ()
(define a 2)
(define b (lambda (c) (define a 5) (+ a c)))
(b a))))
7)
(check-equal?
(evaluate '(if #f 3 5))
5)
(check-equal?
(evaluate '(if (< 8 4) 1 0))
0)
(check-equal?
(evaluate '((λ (a b)
(if (> a (+ b b)) 3 6))
9 1))
3)
(check-equal?
(evaluate '((λ (a b)
(if (> a (+ b b)) 3 6))
9 5))
6)
)