#lang racket ; Do boolean.rkt dodajemy pary ; ; 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 is-pair (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)] ; <---------------------------------- !!! [(is-pair e) (expr? e)] [_ false])) (define (parse q) (cond [(number? q) (const q)] [(eq? q 'true) (const true)] [(eq? q 'false) (const false)] [(symbol? q) (var-expr 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) (symbol? (first q))) (binop (first q) (parse (second q)) (parse (third q)))] [(and (list? q) (eq? (length q) 2) (eq? (first q) 'pair?)) (is-pair (parse (second q)))])) (define (test-parse) (parse '(let [x (+ 2 2)] (+ x 1)))) ; ---------- ; ; Srodowiska ; ; ---------- ; (struct environ (xs)) (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 ; ; --------- ; (define (value? v) (or (number? v) (boolean? v) (and (pair? v) (value? (car v)) (value? (cdr v))))) (define (op->proc op) (match op ['+ +] ['- -] ['* *] ['/ /] ['% modulo] ['= =] ['> >] ['>= >=] ['< <] ['<= <=] ['and (lambda (x y) (and x y))] ['or (lambda (x y) (or x y))])) (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))] ; <------------------- !!! [(is-pair e) (cons? (eval-env e env))])) (define (eval e) (eval-env e env-empty)) (define program '(car (if true (cons 1 2) false))) (define (test-eval) (eval (parse program)))