Stare semestry, niepoukladane

2 files changed, 356 insertions, 0 deletions

diff --git a/Semestr 2/racket/l8z14/solution.bak b/Semestr 2/racket/l8z14/solution.bak
new file mode 100644
index 0000000..b51383a
--- /dev/null
+++ b/Semestr 2/racket/l8z14/solution.bak
@@ -0,0 +1,155 @@
+#lang racket
+
+; Do list.rkt dodajemy procedury
+;
+; Miejsca, ktore sie zmienily oznaczone sa przez !!!
+
+; --------- ;
+; Wyrazenia ;
+; --------- ;
+
+(struct const      (val)      #:transparent)
+(struct binop      (op l r)   #:transparent)
+(struct var-expr   (id)       #:transparent)
+(struct let-expr   (id e1 e2) #:transparent)
+(struct if-expr    (eb et ef) #:transparent)
+(struct cons-expr  (e1 e2)    #:transparent)
+(struct car-expr   (e)        #:transparent)
+(struct cdr-expr   (e)        #:transparent)
+(struct null-expr  ()         #:transparent)
+(struct null?-expr (e)        #:transparent)
+(struct app        (f e)      #:transparent) ; <------------------ !!!
+(struct lam        (id e)     #:transparent) ; <------------------ !!!
+
+(define (expr? e)
+  (match e
+    [(const n) (or (number? n) (boolean? n))]
+    [(binop op l r) (and (symbol? op) (expr? l) (expr? r))]
+    [(var-expr x) (symbol? x)]
+    [(let-expr x e1 e2)
+     (and (symbol? x) (expr? e1) (expr? e2))]
+    [(if-expr eb et ef)
+     (and (expr? eb) (expr? et) (expr? ef))]
+    [(cons-expr e1 e2) (and (expr? e1) (expr? e2))]
+    [(car-expr e) (expr? e)]
+    [(cdr-expr e) (expr? e)]
+    [(null-expr) true]
+    [(null?-expr e) (expr? e)]
+    [(app f e) (and (expr? f) (expr? e))] ; <--------------------- !!!
+    [(lam id e) (and (symbol? id) (expr? e))] ; <----------------- !!!
+    [_ false]))
+
+(define (parse q)
+  (cond
+    [(number? q) (const q)]
+    [(eq? q 'true)  (const true)]
+    [(eq? q 'false) (const false)]
+    [(eq? q 'null)  (null-expr)]
+    [(symbol? q) (var-expr q)]
+    [(and (list? q) (eq? (length q) 2) (eq? (first q) 'null?))
+     (null?-expr (parse (second q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'cons))
+     (cons-expr (parse (second q))
+                (parse (third q)))]
+    [(and (list? q) (eq? (length q) 2) (eq? (first q) 'car))
+     (car-expr (parse (second q)))]
+    [(and (list? q) (eq? (length q) 2) (eq? (first q) 'cdr))
+     (cdr-expr (parse (second q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'let))
+     (let-expr (first (second q))
+               (parse (second (second q)))
+               (parse (third q)))]
+    [(and (list? q) (eq? (length q) 4) (eq? (first q) 'if))
+     (if-expr (parse (second q))
+              (parse (third q))
+              (parse (fourth q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'lambda)) ; <!!!
+     (parse-lam (second q) (third q))]
+    [(and (list? q) (pair? q) (not (op->proc (car q)))) ; <------- !!!
+     (parse-app q)]
+    [(and (list? q) (eq? (length q) 3) (symbol? (first q)))
+     (binop (first q)
+            (parse (second q))
+            (parse (third q)))]))
+
+(define (parse-app q) ; <----------------------------------------- !!!
+  (define (parse-app-accum q acc)
+    (cond [(= 1 (length q)) (app acc (parse (car q)))]
+          [else (parse-app-accum (cdr q) (app acc (parse (car q))))]))
+  (parse-app-accum (cdr q) (parse (car q))))
+
+(define (parse-lam pat e) ; <------------------------------------- !!!
+  (cond [(= 1 (length pat))
+         (lam (car pat) (parse e))]
+        [else
+         (lam (car pat) (parse-lam (cdr pat) e))]))
+
+; ---------- ;
+; Srodowiska ;
+; ---------- ;
+
+(struct environ (xs) #:transparent)
+
+(define env-empty (environ null))
+(define (env-add x v env)
+  (environ (cons (cons x v) (environ-xs env))))
+(define (env-lookup x env)
+  (define (assoc-lookup xs)
+    (cond [(null? xs) (error "Unknown identifier" x)]
+          [(eq? x (car (car xs))) (cdr (car xs))]
+          [else (assoc-lookup (cdr xs))]))
+  (assoc-lookup (environ-xs env)))
+
+; --------- ;
+; Ewaluacja ;
+; --------- ;
+
+(struct clo (id e env) #:transparent) ; <------------------------- !!!
+
+(define (value? v)
+  (or (number? v)
+      (boolean? v)
+      (and (pair? v) (value? (car v)) (value? (cdr v)))
+      (null? v)
+      (clo? v))) ; <---------------------------------------------- !!!
+
+(define (op->proc op)
+  (match op ['+ +] ['- -] ['* *] ['/ /] ['% modulo]
+            ['= =] ['> >] ['>= >=] ['< <] ['<= <=]
+            ['and (lambda (x y) (and x y))]
+            ['or  (lambda (x y) (or  x y))]
+            [_ false])) ; <--------------------------------------- !!!
+
+(define (eval-env e env)
+  (match e
+    [(const n) n]
+    [(binop op l r) ((op->proc op) (eval-env l env)
+                                   (eval-env r env))]
+    [(let-expr x e1 e2)
+     (eval-env e2 (env-add x (eval-env e1 env) env))]
+    [(var-expr x) (env-lookup x env)]
+    [(if-expr eb et ef) (if (eval-env eb env)
+                            (eval-env et env)
+                            (eval-env ef env))]
+    [(cons-expr e1 e2) (cons (eval-env e1 env)
+                             (eval-env e2 env))]
+    [(car-expr e) (car (eval-env e env))]
+    [(cdr-expr e) (cdr (eval-env e env))]
+    [(null-expr) null]
+    [(null?-expr e) (null? (eval-env e env))]
+    [(lam x e) (clo x e env)] ; <--------------------------------- !!!
+    [(app f e) ; <------------------------------------------------ !!!
+     (let ([vf (eval-env f env)]
+           [ve (eval-env e env)])
+       (match vf [(clo x body fun-env)
+                  (eval-env body (env-add x ve fun-env))]))]))
+
+(define (eval e) (eval-env e env-empty))
+
+(define program
+  '(let [twice (lambda (f x) (f (f x)))]
+   (let [inc (lambda (x) (+ 1 x))]
+     (twice twice twice twice inc 1))))
+    
+
+(define (test-eval) (eval (parse program)))
\ No newline at end of file
diff --git a/Semestr 2/racket/l8z14/solution.rkt b/Semestr 2/racket/l8z14/solution.rkt
new file mode 100644
index 0000000..59556cf
--- /dev/null
+++ b/Semestr 2/racket/l8z14/solution.rkt
@@ -0,0 +1,201 @@
+#lang racket
+
+; Do list.rkt dodajemy procedury
+;
+; Miejsca, ktore sie zmienily oznaczone sa przez !!!
+
+; --------- ;
+; Wyrazenia ;
+; --------- ;
+
+(provide eval parse)
+
+
+(struct const      (val)      #:transparent)
+(struct binop      (op l r)   #:transparent)
+(struct var-expr   (id)       #:transparent)
+(struct let-expr   (id e1 e2) #:transparent)
+(struct if-expr    (eb et ef) #:transparent)
+(struct cons-expr  (e1 e2)    #:transparent)
+(struct car-expr   (e)        #:transparent)
+(struct cdr-expr   (e)        #:transparent)
+(struct null-expr  ()         #:transparent)
+(struct null?-expr (e)        #:transparent)
+(struct app        (f e)      #:transparent) ; <------------------ !!!
+(struct lam        (id e)     #:transparent) ; <------------------ !!!
+(struct apply-expr (f xs)     #:transparent)
+
+(define (expr? e)
+  (match e
+    [(const n) (or (number? n) (boolean? n))]
+    [(binop op l r) (and (symbol? op) (expr? l) (expr? r))]
+    [(var-expr x) (symbol? x)]
+    [(let-expr x e1 e2)
+     (and (symbol? x) (expr? e1) (expr? e2))]
+    [(if-expr eb et ef)
+     (and (expr? eb) (expr? et) (expr? ef))]
+    [(cons-expr e1 e2) (and (expr? e1) (expr? e2))]
+    [(car-expr e) (expr? e)]
+    [(cdr-expr e) (expr? e)]
+    [(null-expr) true]
+    [(null?-expr e) (expr? e)]
+    [(app f e) (and (expr? f) (expr? e))] ; <--------------------- !!!
+    [(lam id e) (and (symbol? id) (expr? e))] ; <----------------- !!!
+    [(apply-expr f xs) (and (expr? f) (expr? xs))]
+    [_ false]))
+
+(define (parse q)
+  (cond
+    [(number? q) (const q)]
+    [(eq? q 'true)  (const true)]
+    [(eq? q 'false) (const false)]
+    [(eq? q 'null)  (null-expr)]
+    [(symbol? q) (var-expr q)]
+    [(and (> (length q) 0) (list? q) (eq? (first q) 'list))
+     (parse-list (cdr q))]
+    [(and (list? q) (eq? (length q) 2) (eq? (first q) 'null?))
+     (null?-expr (parse (second q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'apply))
+     (apply-expr (parse (second q))
+                 (parse (third q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'cons))
+     (cons-expr (parse (second q))
+                (parse (third q)))]
+    [(and (list? q) (eq? (length q) 2) (eq? (first q) 'car))
+     (car-expr (parse (second q)))]
+    [(and (list? q) (eq? (length q) 2) (eq? (first q) 'cdr))
+     (cdr-expr (parse (second q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'let))
+     (let-expr (first (second q))
+               (parse (second (second q)))
+               (parse (third q)))]
+    [(and (list? q) (eq? (length q) 4) (eq? (first q) 'if))
+     (if-expr (parse (second q))
+              (parse (third q))
+              (parse (fourth q)))]
+    [(and (list? q) (eq? (length q) 3) (eq? (first q) 'lambda)) ; <!!!
+     (parse-lam (second q) (third q))]
+    [(and (list? q) (pair? q) (not (op->proc (car q)))) ; <------- !!!
+     (parse-app q)]
+    [(and (list? q) (eq? (length q) 3) (symbol? (first q)))
+     (binop (first q)
+            (parse (second q))
+            (parse (third q)))]))
+
+
+(define (parse-app q) ; <----------------------------------------- !!!
+  (define (parse-app-accum q acc)
+    (cond [(= 1 (length q)) (app acc (parse (car q)))]
+          [else (parse-app-accum (cdr q) (app acc (parse (car q))))]))
+  (parse-app-accum (cdr q) (parse (car q))))
+
+(define (parse-lam pat e) ; <------------------------------------- !!!
+  (cond [(= 1 (length pat))
+         (lam (car pat) (parse e))]
+        [else
+         (lam (car pat) (parse-lam (cdr pat) e))]))
+
+(define (parse-list q)
+  (if (null? q)
+      (null-expr)
+      (cons-expr (parse (car q)) (parse-list (cdr q)))))
+
+; ---------- ;
+; Srodowiska ;
+; ---------- ;
+
+(struct environ (xs) #:transparent)
+
+(define env-empty (environ null))
+(define (env-add x v env)
+  (environ (cons (cons x v) (environ-xs env))))
+(define (env-lookup x env)
+  (define (assoc-lookup xs)
+    (cond [(null? xs) (error "Unknown identifier" x)]
+          [(eq? x (car (car xs))) (cdr (car xs))]
+          [else (assoc-lookup (cdr xs))]))
+  (assoc-lookup (environ-xs env)))
+
+; --------- ;
+; Ewaluacja ;
+; --------- ;
+
+(struct clo (id e env) #:transparent) ; <------------------------- !!!
+
+(define (value? v)
+  (or (number? v)
+      (boolean? v)
+      (and (pair? v) (value? (car v)) (value? (cdr v)))
+      (null? v)
+      (clo? v))) ; <---------------------------------------------- !!!
+
+(define (op->proc op)
+  (match op ['+ +] ['- -] ['* *] ['/ /] ['% modulo]
+            ['= =] ['> >] ['>= >=] ['< <] ['<= <=]
+            ['and (lambda (x y) (and x y))]
+            ['or  (lambda (x y) (or  x y))]
+            [_ false])) ; <--------------------------------------- !!!
+
+(define (eval-env e env)
+  (match e
+    [(const n) n]
+    [(binop op l r) ((op->proc op) (eval-env l env)
+                                   (eval-env r env))]
+    [(let-expr x e1 e2)
+     (eval-env e2 (env-add x (eval-env e1 env) env))]
+    [(var-expr x) (env-lookup x env)]
+    [(if-expr eb et ef) (if (eval-env eb env)
+                            (eval-env et env)
+                            (eval-env ef env))]
+    [(cons-expr e1 e2) (cons (eval-env e1 env)
+                             (eval-env e2 env))]
+    [(car-expr e) (car (eval-env e env))]
+    [(cdr-expr e) (cdr (eval-env e env))]
+    [(null-expr) null]
+    [(null?-expr e) (null? (eval-env e env))]
+    [(apply-expr e1 e2) 
+     (let ([xs (eval-env e2 env)])
+          (eval-env (eval-apply e1 (reverse xs)) env))]
+    [(lam x e) (clo x e env)] ; <--------------------------------- !!!
+    [(app f e) ; <------------------------------------------------ !!!
+     (let ([vf (eval-env f env)]
+           [ve (eval-env e env)])
+       (match vf [(clo x body fun-env)
+                  (eval-env body (env-add x ve fun-env))]))]))
+
+(define (eval-apply e xs)
+  (if (null? xs)
+      e
+      (app (eval-apply e (cdr xs)) (const (car xs)))))
+
+(define (eval e) (eval-env e env-empty))
+
+;; testy wspólnie z Karolem Ochmanem
+
+(define program1
+    '(apply (lambda (x y) (+ x y))
+        (cons 1 (cons 2 null))))
+(define program2
+    '(apply (lambda (x y z) (+ x (+ y z)))
+        (cons 1 (cons 2 null))))
+(define program3
+    '(apply (lambda (x y) (lambda (z) (+ x (+ y z))))
+        (cons 1 (cons 2 (cons 3 null)))))
+(define program4
+    '(apply (lambda (x y) (+ x y))
+        (cons 1 (cons 2 (cons 3 null)))))
+(define program5 
+    '(let [f (lambda (x y z) (+ z (+ x y)))]
+            (apply (f 3) (cons 1 (cons 2 null)))))
+(define program6
+    '(let [f (lambda (x) x)]
+        (apply (f 4) null)))
+(define program7
+    '(apply (lambda (q w e r t y u i o p a s d f g h j k l) 3)
+                (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 
+                (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 
+                (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 null)))))))))))))))))))))
+(define program8
+    '(apply (lambda (q w e r t y u i o p a s d f g h j k l) 3)
+                (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 (cons 1 
+                (cons 1 (cons 1 (cons 1 (cons 1 null)))))))))))))))
\ No newline at end of file