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authorFranciszek Malinka <franciszek.malinka@gmail.com>2021-02-25 14:42:55 +0100
committerFranciszek Malinka <franciszek.malinka@gmail.com>2021-02-25 14:42:55 +0100
commit9477dbe667f250ecd23f8fc0d56b942191526421 (patch)
treea4b50c9a726f415f835f5311c11c5d66e95f688c /Semestr 2/racket/l8z14
parent1968c1e590077bd51844eacfac722d7963848cb8 (diff)
Stare semestry, niepoukladane
Diffstat (limited to 'Semestr 2/racket/l8z14')
-rw-r--r--Semestr 2/racket/l8z14/solution.bak155
-rw-r--r--Semestr 2/racket/l8z14/solution.rkt201
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