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-#lang racket
-
-;; ZADANIE 1
-;; =========
-
-;; W tym zadaniu rozważamy język WHILE (w formie z grubsza
-;; odpowiadającej tej z wykładu), z blokami deklarującymi zmienne o
-;; lokalnym zakresie.
-
-;; Zadanie polega na dodaniu do języka procedur definiowanych na
-;; zewnątrz głównego polecenia programu (podobnie jak w C, gdzie
-;; główne polecenie odpowiadałoby procedurze main, czy Pascalu) — o
-;; dowolnym wybranym przez siebie modelu działania. W tym celu należy:
-;; · rozszerzyć składnię abstrakcyjną o składnię procedur i rozbudować odpowiednio składnię programów
-;; · rozszerzyć procedurę parsowania
-;; · rozszerzyć ewaluator
-;; · *opisać* wybrany model działania procedur, w tym jego potencjalne zalety lub ograniczenia
-;; Należy rozszerzyć poniższy szablon, a część słowną zadania umieścić
-;; w komentarzu, podobnie jak niniejsze polecenie.
-
-;; Uwaga! Zadanie jest *bardzo* szeroko sformułowane, jest wiele
-;; sensownych rozwiązań które stosowały liczne języki imperatywne w
-;; historii — nie jest treścią zadania znalezienie *najlepszego*,
-;; tylko swojego, które *rozumiecie*. Wybrany model działania procedur
-;; *może* być relatywnie ubogi, jednak jeśli tak się zrobi, warto
-;; pokazać że ma się tego świadomość w słownym opisie jego działania.
-
-(struct const (val)           #:transparent)
-(struct binop (op l r)        #:transparent)
-(struct var-expr (name)       #:transparent)
-(struct call-expr (name args) #:transparent)
-(struct return-expr (val)     #:transparent)
-
-(define (operator? x)
-  (member x '(+ * - / > < = >= <=)))
-
-(define (keyword? x)
-  (member x '(skip while if := func call return)))
-
-(define (expr? e)
-  (match e
-    [(const v)
-     (integer? v)]
-    [(var-expr x)
-     (and (symbol? x)
-          (not (keyword? x)))]
-    [(binop op l r)
-     (and (operator? op)
-          (expr? l)
-          (expr? r))]
-    [_ false]))
-
-(struct skip   ()                #:transparent)
-(struct assign (id exp)          #:transparent)
-(struct if-cmd (exp ct cf)       #:transparent)
-(struct while  (exp cmd)         #:transparent)
-(struct comp   (left right)      #:transparent)
-(struct var-in (name expr cmd)   #:transparent)
-(struct function (name args cmd) #:transparent)
-
-(define (cmd? c)
-  (match c
-    [(skip) true]
-    [(assign x e)  (and (symbol? x) (expr? e))]
-    [(if-cmd e ct cf) (and (expr? e) (cmd? ct) (cmd? cf))]
-    [(while e c)   (and (expr? e) (cmd? c))]
-    [(comp c1 c2)  (and (cmd? c1) (cmd? c2))]
-    [(var-in x e c) (and (symbol? x) (expr? e) (cmd? c))]
-    [(function f a c) (and (symbol? f) (list? a) (andmap symbol? a) (cmd? c))]))
-
-(define (prog? p)
-  (cmd? p))
-
-(define (parse-expr p)
-  (cond
-   [(number? p)    (const p)]
-   [(and (symbol? p)
-         (not (keyword? p)))
-    (var-expr p)]
-   [(and (list? p)
-         (= 3 (length p))
-         (operator? (car p)))
-    (binop (first p)
-           (parse-expr (second p))
-           (parse-expr (third p)))]
-   [(and (list? p)                           ; <------ wywołanie funkcji
-         (= (length p) 3)
-         (eq? (first p) 'call)
-         (symbol? (second p))
-         (list? (third p)))
-    (call-expr (second p) (map parse-expr (third p)))]
-   [else false]))
-
-(define (parse-cmd q)
-  (cond
-   [(eq? q 'skip) (skip)]
-   [(and (list? q)
-         (= (length q) 3)
-         (eq? (second q) ':=))
-    (assign (first q) (parse-expr (third q)))]
-   [(and (list? q)
-         (= (length q) 4)
-         (eq? (first q) 'if))
-    (if-cmd (parse-expr (second q)) (parse-cmd (third q)) (parse-cmd (fourth q)))]
-   [(and (list? q)
-         (= (length q) 3)
-         (eq? (first q) 'while))
-    (while (parse-expr (second q)) (parse-cmd (third q)))]         
-   [(and (list? q)
-         (= (length q) 3)
-         (eq? (first q) 'var)
-         (list? (second q))
-         (= (length (second q)) 2))
-    (var-in (first (second q))
-            (parse-expr (second (second q)))
-            (parse-cmd (third q)))]
-   [(and (list? q)                           ; <------ funkcje
-         (= (length q) 4) 
-         (eq? (first q) 'func)
-         (symbol? (second q))
-         (list? (third q))
-         (andmap symbol? (third q)))
-    (function (second q) (third q) (parse-cmd (fourth q)))]
-   [(and (list? q)
-         (= (length q) 2)
-         (eq? (first q) 'return))
-    (return-expr (parse-expr (second q)))]
-   [(and (list? q)
-         (>= (length q) 2))
-    (desugar-comp (map parse-cmd q))]
-   [else false]))
-
-(define (desugar-comp cs)
-  (if (null? (cdr cs))
-      (car cs)
-      (comp (car cs)
-            (desugar-comp (cdr cs)))))
-
-(define (value? v)
-  (number? v))
-
-(struct mem (xs) #:transparent)
-
-(define (mem-lookup x m)
-  (define (assoc-lookup xs)
-    (cond
-     [(null? xs) (error "Undefined variable" x)]
-     [(eq? x (caar xs)) (cdar xs)]
-     [else (assoc-lookup (cdr xs))]))
-  (assoc-lookup (mem-xs m)))
-
-(define (mem-defined? x m)         ; <----------- !!! Sprawdz, czy x jest w ogole zdefiniowane
-  (define (assoc-lookup xs)
-    (cond
-      [(null? xs) #f]
-      [(eq? x (caar xs) #t)]
-      [else (assoc-lookup (cdr xs))]))
-  (assoc-lookup (mem-xs m)))
-
-(define (mem-update x v m)
-  (define (assoc-update xs)
-    (cond
-     [(null? xs) (error "Undefined variable" x)]
-     [(eq? x (caar xs)) (cons (cons x v) (cdr xs))]
-     [else (cons (car xs) (assoc-update (cdr xs)))]))
-  (mem (assoc-update (mem-xs m))))
-
-(define (mem-alloc x v m)
-  (mem (cons (cons x v) (mem-xs m))))
-
-(define (mem-drop-last m)
-  (cond
-   [(null? (mem-xs m))
-    (error "Deallocating from empty memory")]
-   [else
-    (mem (cdr (mem-xs m)))]))
-
-(define empty-mem
-  (mem null))
-
-(define (op->proc op)
-  (match op
-    ['+ +]
-    ['- -]
-    ['* *]
-    ['/ /]
-    ['<  (lambda (x y) (if (< x y) 1 0))]
-    ['>  (lambda (x y) (if (> x y) 1 0))]
-    ['=  (lambda (x y) (if (= x y) 1 0))]
-    ['<= (lambda (x y) (if (<= x y) 1 0))]
-    ['>= (lambda (x y) (if (>= x y) 1 0))]
-    ))
-
-;; zał: (expr? e) i (mem? m) jest prawdą
-;; (value? (eval e m)) jest prawdą
-(define (eval e m)
-  (match e
-    [(const v) v]
-    [(var-expr x)   (mem-lookup x m)]
-    [(binop op l r)
-     (let ((vl (eval l m))
-           (vr (eval r m))
-           (p  (op->proc op)))
-       (p vl vr))]
-    [(call-expr name args)
-     (match (mem-lookup name m)
-       [(clo func-args cmd)
-        (if (= (length args) (length func-args))
-            (let* ([func-mem (assign-values args func-args m)]
-                   [final-mem (eval-cmd cmd func-mem)]
-                   [ret (mem-lookup 'RETURN final-mem)])
-              (if ret
-                  ret
-                  (error "No return statement in function" name)))
-            (error "Arity mismatch, function" name "takes" (length func-args) ", got" (length args)))]
-       [else (error "Undefined function" name)])]))
-
-(define (assign-values args func-args mem)
-  (define (iter args func-args new-mem)
-    (if (null? args)
-        new-mem
-        (iter (cdr args) (cdr func-args) (mem-alloc (car func-args) (eval (car args) mem) new-mem))))
-  (iter args func-args mem))
-
-
-(struct clo (args cmd))
-
-;; zał: (cmd? c) (mem? m)
-;; (mem? (eval-cmd c m))
-(define (eval-cmd c m)
-  (if (mem-lookup 'RETURN m)
-      m
-      (match c
-        [(skip)              m]
-        [(assign x e)        (mem-update x (eval e m) m)]
-        [(if-cmd e ct cf)    (if (= (eval e m) 0)
-                                 (eval-cmd cf m)
-                                 (eval-cmd ct m))]
-        [(while e cw)        (if (= (eval e m) 0)
-                                 m
-                                 (let* ((m1 (eval-cmd cw m))
-                                        (m2 (eval-cmd c m1)))
-                                   m2))]
-        [(comp c1 c2)        (let* ((m1 (eval-cmd c1 m))
-                                    (m2 (eval-cmd c2 m1)))
-                               m2)]
-        [(var-in x e c)      (let* ((v  (eval e m))
-                                    (m1 (mem-alloc x v m))
-                                    (m2 (eval-cmd c m1)))
-                               (mem-drop-last m2))]
-        [(function name args cmd)
-         (mem-alloc name (clo args cmd) m)]
-        [(return-expr val)
-         (mem-update 'RETURN (eval val m) m)]
-        [_                   (error "Unknown command" c "— likely a syntax error")])))
-
-
-(define (eval-prog p m)
-  (let ((final-mem (eval-cmd p (mem-alloc 'RETURN #f m))))
-    (with-handlers ([exn:fail? (lambda (v) (error "Undefined reference to main"))])
-      (match (mem-lookup 'main final-mem)
-        [(clo args cmd) (mem-lookup 'RETURN (eval-cmd cmd final-mem))]))))
-
-(define WHILE_FACT
-  '({func decr (x)
-     {(x := (- x 1))
-     (return x)}}
-    {func main ()
-    {(i := 1)
-     (while (> t 0)
-            {(i := (* i t))
-             (t := (call decr (t)))})
-     (return i)}}
-    ))
-
-(define (fact n)
-  (let* ([init-env  (mem-alloc 'i 1 (mem-alloc 't n empty-mem))])
-         (eval-prog (parse-cmd WHILE_FACT) init-env)))
-
-(define TEST
-  '({func decr (x) (return (- x 1))}
-    {func main ()
-          (var (x 1)
-                {(x := (+ x 1))
-                 (return (call decr (x)))})}))
-
-(define TEST2
-  '({func decr (x) (return (- x 1))}
-    {func main () (return (call decr (3)))}))
-
-(define TEST3
-  '({func sth (x)
-          {(i := -1)
-           (return x)}}
-    {func main ()
-          {(i := 2)
-           (return (call sth (i)))}}))
-
-(define TEST4
-  '(func f ()
-          {return 1}))
-
-(define TEST5
-  '({func f1 (x y z)
-          (return y)}
-    {func f2 (x y z)
-          (return (+ (+ x y) z))}
-    {func main ()
-          {(if (> 4 3)
-              (var (x 2)
-                   (return (call f1 (1 x 3))))
-              (x := 5))
-          (return (call f2 (x 3 4)))}}))
-    
\ No newline at end of file