From c5fcf7179a83ef65c86c6a4a390029149e518649 Mon Sep 17 00:00:00 2001 From: Franciszek Malinka Date: Tue, 5 Oct 2021 21:49:54 +0200 Subject: Duzy commit ze smieciami --- semestr-2/racket/l9z17/solution.rkt | 266 ++++++++++++++++++++++++++++++++++++ 1 file changed, 266 insertions(+) create mode 100644 semestr-2/racket/l9z17/solution.rkt (limited to 'semestr-2/racket/l9z17') diff --git a/semestr-2/racket/l9z17/solution.rkt b/semestr-2/racket/l9z17/solution.rkt new file mode 100644 index 0000000..5e98036 --- /dev/null +++ b/semestr-2/racket/l9z17/solution.rkt @@ -0,0 +1,266 @@ +#lang racket + +; Do programming.rkt dodajemy instrukcje + +(provide eval-while parse-while env-empty env-lookup) + +;;; We współpracy z Kacprem Soleckim + +; --------- ; +; Wyrazenia ; +; --------- ; + +(struct const (val) #:transparent) +(struct binop (op l r) #:transparent) +(struct var-expr (id) #:transparent) +(struct let-expr (id e1 e2) #:transparent) +(struct letrec-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) (string? 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))] + [(letrec-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)] + [(string? q) (const q)] + [(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) 3) (eq? (first q) 'letrec)) + (letrec-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 blackhole () #:transparent) +(struct environ (xs) #:transparent) + +(define env-empty (environ null)) +(define (env-add x v env) + (environ (cons (mcons x v) (environ-xs env)))) +(define (env-lookup x env) + (define (assoc-lookup xs) + (cond [(null? xs) (error "Unknown identifier" x)] + [(eq? x (mcar (car xs))) + (match (mcdr (car xs)) + [(blackhole) (error "Stuck forever in a black hole!")] + [x x])] + [else (assoc-lookup (cdr xs))])) + (assoc-lookup (environ-xs env))) +(define (env-update! x v xs) + (define (assoc-update! xs) + (cond [(null? xs) (error "Unknown identifier" x)] + [(eq? x (mcar (car xs))) (set-mcdr! (car xs) v)] + [else (env-update! x v (cdr xs))])) + (assoc-update! (environ-xs xs))) +(define (env-update x v xs) ; <---------------------------------- !!! + (define (assoc-update xs) + (cond [(null? xs) (list (mcons x v))] + [(eq? x (mcar (car xs))) (cons (mcons x v) (cdr xs))] + [else (cons (car xs) (assoc-update (cdr xs)))])) + (environ (assoc-update (environ-xs xs)))) + +; --------- ; +; Ewaluacja ; +; --------- ; + +(struct clo (id e env) #:transparent) +(struct let-var (v) #:transparent) + +(define (value? v) + (or (number? v) + (boolean? v) + (string? v) + (and (pair? v) (value? (car v)) (value? (cdr v))) + (null? v) + (clo? v) + (blackhole? v))) + +(define (op->proc op) + (match op ['+ +] ['- -] ['* *] ['/ /] ['% modulo] + ['= =] ['> >] ['>= >=] ['< <] ['<= <=] + ['and (lambda (x y) (and x y))] + ['or (lambda (x y) (or x y))] + ['eq? eq?] + [_ 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 (let-var (eval-env e1 env)) env))] + [(letrec-expr x e1 e2) + (let* ([new-env (env-add x (blackhole) env)] + [v (eval-env e1 new-env)]) + (begin + (env-update! x v new-env) + (eval-env e2 new-env)))] + [(var-expr x) (let ((f (env-lookup x env))) + (if (let-var? f) (let-var-v f) f))] + [(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 (merge-let-vars env fun-env)))]))])) + +(define (merge-let-vars env1 env2) + (define (iter xs env) + (if (null? xs) + env + (let ((cur-var (car xs))) + (if (let-var? (mcdr cur-var)) + (iter (cdr xs) (env-add (mcar cur-var) (mcdr cur-var) env)) + (iter (cdr xs) env))))) + (iter (reverse (environ-xs env2)) env1)) + +(define (eval e) (eval-env e env-empty)) + +; ---------------------------------------------------------------- !!! + +(struct skip () #:transparent) +(struct assign (x e) #:transparent) +(struct if-cmd (eb ct cf) #:transparent) +(struct while (eb cb) #:transparent) +(struct comp (c1 c2) #:transparent) + +(define (cmd? c) + (match c + [(skip) true] + [(assign x e) (and (symbol? x) (expr? e))] + [(if-cmd eb ct cf) (and (expr? eb) (cmd? ct) (cmd? cf))] + [(while eb ct) (and (expr? eb) (cmd? ct))] + [else false])) + +(define (parse-while q) + (cond + [(eq? q 'skip) (skip)] + [(null? q) (skip)] + [(and (list? q) (= (length q) 3) (eq? (second q) ':=)) + (assign (first q) + (parse (third q)))] + [(and (list? q) (= (length q) 4) (eq? (car q) 'if)) + (if-cmd (parse (second q)) + (parse-while (third q)) + (parse-while (fourth q)))] + [(and (list? q) (= (length q) 3) (eq? (car q) 'while)) + (while (parse (second q)) + (parse-while (third q)))] + [(and (list? q) (= (length q) 2)) + (comp (parse-while (first q)) + (parse-while (second q)))] + [(and (list? q) (> (length q) 2)) + (comp (parse-while (first q)) + (parse-while (cdr q)))] + [else (error "while parse error")])) + +(define (eval-while e env) + (match e + [(skip) env] + [(assign x e) + (env-update x (eval-env e env) env)] + [(if-cmd eb ct cf) + (if (eval-env eb env) + (eval-while ct env) + (eval-while cf env))] + [(while eb cb) + (if (eval-env eb env) + (eval-while e (eval-while cb env)) + env)] + [(comp c1 c2) (eval-while c2 (eval-while c1 env))])) + +; zakladamy, ze program startuje z pamiecia w ktorej +; aktwna jest zmienna t +(define WHILE_FACT + '{(i := 1) + (while (> t 0) + {(i := (* i t)) + (t := (- t 1))})}) + +(define (fact n) + (let* ([init-env (env-add 't n env-empty)] + [final-env + (eval-while (parse-while WHILE_FACT) init-env)]) + (env-lookup 'i final-env))) + +(define prog1 '{(x := 5) + (f := (let [x 50] (lambda (y) (+ x y)))) + (x := 10) + (z := (f 0))}) \ No newline at end of file -- cgit v1.2.3