; Exercise 4.11 (define (make-frame bindings) (cons '*frame* bindings)) (define (lookup-within-frame var frame) (assoc var (cdr frame))) (define (add-binding-to-frame! var val frame) (set-cdr! frame (cons (cons var val) (cdr frame)))) (define the-empty-environment '()) (define (extend-environment bindings base-env) (cons (make-frame bindings) base-env)) (define (enclosing-environment env) (cdr env)) (define (first-frame env) (car env)) (define (define-variable! var val env) (let* ((frame (first-frame env)) (binding (lookup-within-frame var frame))) (if binding (set-cdr! binding val) (add-binding-to-frame! var val frame)))) ; Exercise 4.12 (define (lookup-binding variable environment) (let loop ((env environment)) (if (eq? env the-empty-environment) #f (cond ((lookup-within-frame variable (first-frame env))) (else (loop (enclosing-environment env))))))) (define (set-variable-value! var val env) (cond ((lookup-binding var env) => (lambda (b) (set-cdr! b val))) (else (error "Unbound variable: SET!" var)))) ; Exercise 4.16.a (define (lookup-variable-value var env) (let ((value (cond ((lookup-binding var env) => cdr) (else '*unassigned*)))) (if (eq? value '*unassigned*) (error "Unbound variable" var) value))) ; Exercise 4.3 (define (make-table) (let ((local-table (list '*table*))) (define (lookup key) (let ((record (assoc key (cdr local-table)))) (if record (cdr record) #f))) (define (insert! key value) (let ((record (assoc key (cdr local-table)))) (if record (set-cdr! record value) (set-cdr! (let tail ((table local-table)) (if (null? (cdr table)) table (tail (cdr table)))) (list (cons key value))))) 'ok) (define (dispatch m) (cond ((eq? m 'lookup-proc) lookup) ((eq? m 'insert-proc!) insert!) (else (error "Unknown operation: TABLE" m)))) dispatch)) (define evaluation-table (make-table)) (define (get-evaluator exp) (if (pair? exp) ((evaluation-table 'lookup-proc) (car exp)) #f)) (define (evaluate exp env) (cond ((get-evaluator exp) => (lambda (evaluator) (evaluator exp env))) ((or (number? exp) (string? exp)) exp) ((symbol? exp) (lookup-variable-value exp env)) ((pair? exp) (eval-application (cons 'call exp) env)) (else (error "Unknown expression type: EVAL" exp)))) (define (begin-actions exp) (cdr exp)) (define (last-exp? seq) (null? (cdr seq))) (define (first-exp seq) (car seq)) (define (rest-exps seq) (cdr seq)) (define (eval-sequence exps env) (let ((first-value (evaluate (first-exp exps) env))) (if (last-exp? exps) first-value (eval-sequence (rest-exps exps) env)))) (define (eval-begin exp env) (eval-sequence (begin-actions exp) env)) (define (primitive-procedure? p) (and (pair? p) (eq? (car p) 'primitive))) (define (primitive-implementation p) (cadr p)) (define (make-procedure parameters body env) (list 'procedure parameters body env)) (define (compound-procedure? p) (and (pair? p) (eq? (car p) 'procedure))) (define (procedure-parameters p) (cadr p)) ; Exercise 4.16.c (define (procedure-body p) (scan-out-defines (caddr p))) (define (procedure-environment p) (cadddr p)) (define (evaluator-apply procedure arguments) (cond ((primitive-procedure? procedure) (apply (primitive-implementation procedure) arguments)) ((compound-procedure? procedure) (eval-sequence (procedure-body procedure) (extend-environment (map cons (procedure-parameters procedure) arguments) (procedure-environment procedure)))))) (define (operator exp) (cadr exp)) (define (operands exp) (cddr exp)) (define (no-operands? ops) (null? ops)) (define (first-operand ops) (car ops)) (define (rest-operands ops) (cdr ops)) (define (list-of-values exps env) (if (no-operands? exps) '() (cons (evaluate (first-operand exps) env) (list-of-values (rest-operands exps) env)))) (define (eval-application exp env) (evaluator-apply (evaluate (operator exp) env) (list-of-values (operands exp) env))) (define (eval-quote exp env) (cadr exp)) (define (assignment-variable exp) (cadr exp)) (define (assignment-value exp) (caddr exp)) (define (eval-assignment exp env) (set-variable-value! (assignment-variable exp) (evaluate (assignment-value exp) env) env) 'ok) (define (make-lambda parameters body) (cons 'lambda (cons parameters body))) (define (lambda-parameters exp) (cadr exp)) (define (lambda-body exp) (cddr exp)) (define (eval-lambda exp env) (make-procedure (lambda-parameters exp) (lambda-body exp) env)) (define (definition-variable exp) (if (symbol? (cadr exp)) (cadr exp) (caadr exp))) (define (definition-value exp) (if (symbol? (cadr exp)) (caddr exp) (make-lambda (cdadr exp) (cddr exp)))) (define (eval-definition exp env) (define-variable! (definition-variable exp) (evaluate (definition-value exp) env) env) 'ok) ; Exercise 4.16.b (define (scan-out-defines body) (let* ((definitions (filter (lambda (exp) (eq? (car exp) 'define)) body)) (vars (map definition-variable definitions)) (vals (map definition-value definitions)) (assignments (map (lambda (var val) (list 'set! var val)) vars vals)) (rest (filter (lambda (exp) (not (eq? (car exp) 'define))) body)) (place-holders (let loop ((n (length vals))) (if (> n 0) (cons '*unassigned* (loop (1- n))) '())))) (list (list* 'lambda vars (append assignments rest)) place-holders))) (define (false? x) (eq? x #f)) (define (true? x) (not (false? x))) (define (if-predicate exp) (cadr exp)) (define (if-consequent exp) (caddr exp)) (define (if-alternative exp) (if (null? (cdddr exp)) 'false (cadddr exp))) (define (eval-if exp env) (if (true? (evaluate (if-predicate exp) env)) (evaluate (if-consequent exp) env) (evaluate (if-alternative exp) env))) ; Exercise 4.5 (define (cond-clauses exp) (cdr exp)) (define (cond-predicate clause) (car clause)) (define (cond-actions clause) (cdr clause)) (define (eval-cond exp env) (let loop ((clauses (cond-clauses exp))) (if (null? clauses) 'false (let* ((first (car clauses)) (rest (cdr clauses)) (pred (evaluate (cond-predicate first) env)) (actions (cond-actions first))) (cond ((false? pred) (loop rest)) ((null? actions) pred) ((eq? (car actions) '=>) (evaluator-apply (evaluate (cadr actions) env) (list pred))) (else (eval-sequence actions env))))))) ; Exercise 4.4 (define (eval-and exp env) (let loop ((expressions (cdr exp))) (cond ((null? expressions) 'true) ((last-exp? expressions) (evaluate (car expressions) env)) ((evaluate (car expressions) env) (loop (cdr expressions))) (else 'false)))) (define (eval-or exp env) (eval-cond (map list exp) env)) ; Exercise 4.6 (define (let->combination exp) (let ((ad (cadr exp)) (dd (cddr exp))) (if (list? ad) (list* (list* 'lambda (map car ad) dd) (map cadr ad)) ; Exercise 4.8 (list 'begin (list* 'define (list* ad (map car (car dd))) (cdr dd)) (list* ad (map cadr (car dd))))))) (define (eval-let exp env) (evaluate (let->combination exp) env)) ; Exercise 4.7 (define (let*->nested-lets exp) (let ((body (cddr exp))) (let loop ((bindings (cadr exp))) (if (or (null? bindings) (last-exp? bindings)) (list* 'let bindings body) (list 'let (list (car bindings)) (loop (cdr bindings))))))) (define (eval-let* exp env) (evaluate (let*->nested-lets exp) env)) ; Exercise 4.9 (define (eval-while exp env) ; (while pred body) (let ((pred (cadr exp)) (body (cddr exp))) (let loop ((keep-going (evaluate pred env))) (if (true? keep-going) (begin (eval-sequence body env) (loop (evaluate pred env))))))) (define (eval-for exp env) ; (for init pred body) (evaluate (list 'let (cadr exp) (list* 'while (caddr exp) (cdddr exp))) env)) ; Exercise 4.2 (define (add-evaluator! tag evaluator) ((evaluation-table 'insert-proc!) tag evaluator)) (add-evaluator! 'call eval-application) (add-evaluator! 'quote eval-quote) (add-evaluator! 'set! eval-assignment) (add-evaluator! 'define eval-definition) (add-evaluator! 'if eval-if) (add-evaluator! 'lambda eval-lambda) (add-evaluator! 'begin eval-begin) (add-evaluator! 'cond eval-cond) (add-evaluator! 'and eval-and) (add-evaluator! 'or eval-or) (add-evaluator! 'let eval-let) (add-evaluator! 'let* eval-let*) (add-evaluator! 'while eval-while) (add-evaluator! 'for eval-for) (define primitive-procedures (let ((procedures (list (cons 'first car) (cons 'rest cdr) (cons 'cons cons) (cons 'null? null?) (cons 'assoc assoc) (cons 'display display) (cons 'newline newline) (cons '= =) (cons '< <) (cons '> >) (cons '+ +) (cons '- -) (cons '* *) (cons '/ /)))) (map (lambda (p) (cons (car p) (list 'primitive (cdr p)))) procedures))) (define (make-environment . environments) (if (null? environments) the-empty-environment (extend-environment (car environments) (apply make-environment (cdr environments))))) (define (evaluator-loop) (let loop ((environment (make-environment primitive-procedures (list (cons 'false #f) (cons 'true #t) (cons 'else #t))))) (display "> ") (let ((input (read))) (if (not (eq? input 'quit)) (let ((output (evaluate input environment))) (display output) (newline) (loop environment)))))) ; Exercise 4.21 (define (factorial n) ((lambda (fact) (fact fact n)) (lambda (ft k) (if (= k 1) 1 (* k (ft ft (1- k))))))) (define (fibonacci n) ((lambda (fib) (fib fib n)) (lambda (f k) (if (or (= k 0) (= k 1)) k (+ (f f (1- k)) (f f (- k 2))))))) (define (f x) ((lambda (even? odd?) (even? even? odd? x)) (lambda (ev? od? n) (if (= n 0) #t (od? ev? od? (1- n)))) (lambda (ev? od? n) (if (= n 0) #f (ev? ev? od? (1- n))))))