;; One small change (marked with >>) to go from ;; call-by-name to call-by-need ;; An expval is ;; * a number ;; * a proc ;; ;; A denval is a location (define-datatype proc proc? (closure (ids (list-of symbol?)) (body-exp expression?) (env environment?))) (define-datatype loc location? (a-location (val vector?))) (define (expval? v) (or (number? v) (proc? v))) (define-datatype thunk thunk? (a-thunk (body expression?) (env environment?))) ;;;;;;;; grammatical specification ;;;;;;;;;;;;;;;; (define the-lexical-spec '((whitespace (whitespace) skip) (id (letter (arbno (or letter digit "?"))) make-symbol) (number ((or "" "-" "+") digit (arbno digit)) make-number))) (define the-grammar '((program (expression) a-program) (expression (number) lit-exp) (expression (id) var-exp) (expression (primitive "(" (separated-list expression ",") ")") primapp-exp) (expression ("let" (arbno id "=" expression) "in" expression) let-exp) (expression ("proc" "(" (separated-list id ",") ")" expression) proc-exp) (expression ("(" expression (arbno expression) ")") app-exp) (expression ("if" expression "then" expression "else" expression) if-exp) (expression ("set" id "=" expression) set-exp) (expression ("{" expression ";" expression "}") begin-exp) (primitive ("+") add-prim) (primitive ("-") subtract-prim) (primitive ("*") mult-prim) (primitive ("add1") incr-prim) (primitive ("sub1") decr-prim))) (sllgen:make-define-datatypes the-lexical-spec the-grammar) ;;;;;;;;;;;;;;;; the interpreter ;;;;;;;;;;;;;;;; ; eval-program : program -> expval (define eval-program (lambda (pgm) (cases program pgm (a-program (body) (eval-expression body (empty-env)))))) ; eval-expression : expression env -> expval (define eval-expression (lambda (exp env) (cases expression exp (lit-exp (datum) datum) (var-exp (id) (let* ([loc (apply-env env id)] [v (location-val loc)]) (cond [(thunk? v) (cases thunk v (a-thunk (body env) ;; >> Put eval result ;; back into loc: (begin (location-set! loc (eval-expression body env)) (location-val loc))))] [else v]))) (primapp-exp (prim rands) (let ((args (eval-rands rands env))) (apply-primitive prim args))) (let-exp (ids exps body-exp) (eval-expression body-exp ;; expression (extend-env ids ;; list-of-sym (map location (eval-fun-rands exps env)) env))) (proc-exp (ids body-exp) (closure ids body-exp env)) (app-exp (rator rands) (apply-proc (eval-expression rator env) (eval-fun-rands rands env))) (if-exp (test then else) (if (zero? (eval-expression test env)) (eval-expression else env) (eval-expression then env))) (begin-exp (first second) (begin (eval-expression first env) (eval-expression second env))) (set-exp (id rhs) (let ([v (eval-expression rhs env)] [loc (apply-env env id)]) (location-set! loc v) 1))))) ;; An arg is ;; * expval ;; * location ;; * thunk ;; eval-fun-rands : list-of-expression env -> list-of-args (define eval-fun-rands (lambda (rands env) (map (lambda (x) (thunkify-expression x env)) rands))) ;; thunkify-expression : expr env -> arg (define (thunkify-expression expr env) (cases expression expr (var-exp (num) (eval-expression expr env)) (lit-exp (num) (eval-expression expr env)) (proc-exp (ids body) (eval-expression expr env)) (else (a-thunk expr env)))) ; apply-proc : expval list-of-args -> expval (define (apply-proc func args) (cond [(number? func) (eopl:error 'apply-proc "not a func")] [(proc? func) (cases proc func (closure (ids body-exp env) (eval-expression body-exp (extend-env ids (map location args) env))))])) (define (location v) (a-location (vector v))) (define (location-val l) (cases loc l (a-location (vec) (vector-ref vec 0)))) (define (location-set! l v) (cases loc l (a-location (vec) (vector-set! vec 0 v) ))) ; eval-rands : list-of-expression env -> list-of-expval (define eval-rands (lambda (rands env) (map (lambda (x) (eval-rand x env)) rands))) ; eval-rand : expression env -> expval (define eval-rand (lambda (rand env) (eval-expression rand env))) ; apply-primitive : primitive list-of-expval -> expval (define apply-primitive (lambda (prim args) (cases primitive prim (add-prim () (+ (car args) (cadr args))) (subtract-prim () (- (car args) (cadr args))) (mult-prim () (* (car args) (cadr args))) (incr-prim () (+ (car args) 1)) (decr-prim () (- (car args) 1))))) ;;;;;;;;;;;;;;;; environments ;;;;;;;;;;;;;;;; ;; Abstract envrionment datatype implemenation. (define-datatype environment environment? (empty-env-record) (extended-env-record (syms (list-of symbol?)) (vec vector?) (env environment?))) ; empty-env : -> env (define empty-env (lambda () (empty-env-record))) ; extend-env : list-of-sym list-of-denval env -> env (define extend-env (lambda (syms vals env) (extended-env-record syms (list->vector vals) env))) ; apply-env : env sym -> denval (define apply-env (lambda (env sym) (cases environment env (empty-env-record () (eopl:error 'apply-env "No binding for ~s" sym)) (extended-env-record (syms vals env) (let ((position (env-find-position sym syms))) (if (number? position) (vector-ref vals position) (apply-env env sym))))))) ;; Environment helper functions ; env-find-position : sym list-of-symbols -> num-or-#f (define env-find-position (lambda (sym los) (list-find-position sym los))) ; list-find-position : sym list-of-symbols -> num-or-#f (define list-find-position (lambda (sym los) (list-index (lambda (sym1) (eqv? sym1 sym)) los))) ; list-index : pred list-of-symbols -> num-or-#f (define list-index (lambda (pred ls) (cond ((null? ls) #f) ((pred (car ls)) 0) (else (let ((list-index-r (list-index pred (cdr ls)))) (if (number? list-index-r) (+ list-index-r 1) #f)))))) ;;;;;;;;;;;;;;;; top level ;;;;;;;;;;;;;;;; ; read-eval-print : -> [loops forever] (define read-eval-print (lambda () ((sllgen:make-rep-loop "-->" eval-program (sllgen:make-stream-parser the-lexical-spec the-grammar))))) (define scan&parse (sllgen:make-string-parser the-lexical-spec the-grammar)) ;; Examples: (eval-program (scan&parse "let g = proc(y) 10 in let f = proc(x) {(g set x = +(x,1));x} in (f 12)")) ; = 12 (eval-program (scan&parse "let g = proc(y) y in let f = proc(x) {(g set x = +(x,1));x} in (f 12)")) ; = 13 (eval-program (scan&parse "let g = proc(y) +(y,y) in let f = proc(x) {(g set x = +(x,1));x} in (f 12)")) ; = 13 ;; >> The last result is different than call-by-name