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March 27, 2014 08:58
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(define (eval exp env) | |
(cond ((self-evaluating? exp) exp) | |
((variable? exp) (lookup-variable-value exp env)) | |
((quoted? exp) (text-of-quotation exp)) | |
((assignment? exp) (eval-assignment exp env)) | |
((definition? exp) (eval-definition exp env)) | |
((if? exp) (eval-if exp env)) | |
((lambda? exp) (make-procedure (lambda-parameters exp) | |
(lambda-body exp) | |
env)) | |
((begin? exp) (eval-sequence (begin-actions exp) env)) | |
((cond? exp) (eval (cond->if exp) env)) | |
((application? exp) (apply (eval (operator exp) env) | |
(list-of-values (operands exp) env))) | |
(else | |
(error "Unknown expression type -- EVAL" exp)))) | |
(define apply-in-underlying-scheme apply) ;; need it later for primitives | |
(define (apply procedure arguments) | |
(cond ((primitive-procedure? procedure) | |
(apply-primitive-procedure procedure arguments)) | |
((compound-procedure? procedure) | |
(eval-sequence | |
(procedure-body procedure) | |
(extend-environment | |
(procedure-parameters procedure) | |
arguments | |
(procedure-environment procedure)))) | |
(else | |
(error "Unknown procedure type -- APPLY" procedure)))) | |
;;; predicates/selectors | |
(define (self-evaluating? exp) | |
(cond ((number? exp) true) | |
((string? exp) true) | |
(else false))) | |
(define (variable? exp) (symbol? exp)) | |
(define (quoted? exp) (tagged-list? exp 'quote)) | |
(define (text-of-quotation exp) (cadr exp)) | |
(define (assignment? exp) (tagged-list? exp 'set!)) | |
(define (assignment-variable exp) (cadr exp)) | |
(define (assignment-value exp) (caddr exp)) | |
(define (definition? exp) (tagged-list? exp 'define)) | |
(define (definition-variable exp) | |
(if (symbol? (cadr exp)) ; check for (define (x) ...) form | |
(cadr exp) | |
(caadr exp))) | |
(define (definition-value exp) | |
(if (symbol? (cadr exp)) ; check for (define (x) ...) form | |
(caddr exp) | |
(make-lambda (cdadr exp) ;formal params | |
(cddr exp)))) ;body | |
(define (if? exp) (tagged-list? exp 'if)) | |
(define (if-predicate exp) (cadr exp)) | |
(define (if-consequent exp) (caddr exp)) | |
(define (if-alternative exp) | |
(if (not (null? (cdddr exp))) | |
(cadddr exp) | |
'false)) | |
(define (make-if predicate consequent alternative) | |
(list 'if predicate consequent alternative)) | |
(define (lambda? exp) (tagged-list? exp 'lambda)) | |
(define (lambda-parameters exp) (cadr exp)) | |
(define (lambda-body exp) (cddr exp)) | |
(define (compound-procedure? exp) (tagged-list? exp 'procedure)) | |
(define (make-procedure parameters body env) | |
(list 'procedure parameters body env)) | |
(define (procedure-parameters p) (cadr p)) | |
(define (procedure-body p) (caddr p)) | |
(define (procedure-environment p) (cadddr p)) | |
(define (begin? exp) (tagged-list? exp 'begin)) | |
(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 (sequence->exp seq) | |
(cond ((null? seq) seq) | |
((last-exp? seq) (first-exp seq)) | |
(else (make-begin seq)))) | |
(define (make-begin seq) (cons 'begin seq)) | |
(define (cond? exp) (tagged-list? exp 'cond)) | |
(define (cond-clauses exp) (cdr exp)) | |
(define (cond-else-clause? clause) | |
(eq? (cond-predicate clause) 'else)) | |
(define (cond-predicate clause) (car clause)) | |
(define (cond-actions clause) (cdr clause)) | |
(define (cond->if exp) | |
(expand-clauses (cond-clauses exp))) | |
(define (expand-clauses clauses) | |
(if (null? clauses) | |
'false ; no else clause | |
(let ((first (car clauses)) | |
(rest (cdr clauses))) | |
(if (cond-else-clause? first) | |
(if (null? rest) | |
(sequence->exp (cond-actions first)) | |
(error "ELSE clause isn't last -- COND->IF" clauses)) | |
(make-if (cond-predicate first) | |
(sequence->exp (cond-actions first)) | |
(expand-clauses rest)))))) | |
(define (application? exp) (pair? exp)) | |
(define (operator exp) (car exp)) | |
(define (operands exp) (cdr 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 (eval (first-operand exps) env) | |
(list-of-values (rest-operands exps) env)))) | |
;; representing expressions | |
(define (tagged-list? exp tag) | |
(if (pair? exp) | |
(eq? (car exp) tag) | |
false)) | |
;; eval helpers | |
(define (eval-assignment exp env) | |
(set-variable-value! (assignment-variable exp) | |
(eval (assignment-value exp) env) | |
env) | |
'ok) | |
(define (eval-definition exp env) | |
(define-variable! (definition-variable exp) | |
(eval (definition-value exp) env) | |
env) | |
'ok) | |
(define (eval-if exp env) | |
(if (eval (if-predicate exp) env) | |
(eval (if-consequent exp) env) | |
(eval (if-alternative exp) env))) | |
(define (eval-sequence exps env) | |
(cond ((last-exp? exps) | |
(eval (first-exp exps) env)) | |
(else (eval (first-exp exps) env) | |
(eval-sequence (rest-exps exps) env)))) | |
;;; nested environments | |
(define (enclosing-environment env) (cdr env)) | |
(define (first-frame env) (car env)) | |
(define the-empty-environment '()) | |
(define (make-frame variables values) | |
(cons variables values)) | |
(define (frame-variables frame) (car frame)) | |
(define (frame-values frame) (cdr frame)) | |
(define (add-binding-to-frame! var val frame) | |
(set-car! frame (cons var (car frame))) | |
(set-cdr! frame (cons val (cdr frame)))) | |
(define (extend-environment vars vals base-env) | |
(if (= (length vars) (length vals)) | |
(cons (make-frame vars vals) base-env) | |
(if (< (length vars) (length vals)) | |
(error "Too many arguments supplied" vars vals) | |
(error "Too few arguments supplied" vars vals)))) | |
(define (lookup-variable-value var env) | |
(define (env-loop env) | |
(define (scan vars vals) | |
(cond ((null? vars) | |
(env-loop (enclosing-environment env))) | |
((eq? var (car vars)) | |
(car vals)) | |
(else (scan (cdr vars) (cdr vals))))) | |
(if (eq? env the-empty-environment) | |
(error "Unbound variable" var) | |
(let ((frame (first-frame env))) | |
(scan (frame-variables frame) | |
(frame-values frame))))) | |
(env-loop env)) | |
(define (set-variable-value! var val env) | |
(define (env-loop env) | |
(define (scan vars vals) | |
(cond ((null? vars) | |
(env-loop (enclosing-environment env))) | |
((eq? var (car vars)) | |
(set-car! vals val)) | |
(else (scan (cdr vars) (cdr vals))))) | |
(if (eq? env the-empty-environment) | |
(error "Unbound variable -- SET!" var) | |
(let ((frame (first-frame env))) | |
(scan (frame-variables frame) | |
(frame-values frame))))) | |
(env-loop env)) | |
(define (define-variable! var val env) | |
(let ((frame (first-frame env))) | |
(define (scan vars vals) | |
(cond ((null? vars) | |
(add-binding-to-frame! var val frame)) | |
((eq? var (car vars)) | |
(set-car! vals val)) | |
(else (scan (cdr vars) (cdr vals))))) | |
(scan (frame-variables frame) | |
(frame-values frame)))) | |
(define (setup-environment) | |
(let ((initial-env | |
(extend-environment (primitive-procedure-names) | |
(primitive-procedure-objects) | |
the-empty-environment))) | |
(define-variable! 'true true initial-env) | |
(define-variable! 'false false initial-env) | |
initial-env)) | |
(define the-global-environment (setup-environment)) | |
;; primitives | |
(define (primitive-procedure? proc) (tagged-list? proc 'primitive)) | |
(define (primitive-implementation proc) (cadr proc)) | |
(define primitive-procedures | |
(list | |
(list 'car car) | |
(list 'cdr cdr) | |
(list 'cons cons) | |
(list 'null? null?) | |
(list '+ +) | |
(list '- -) | |
(list '> >) | |
; ... and so on | |
)) | |
(define (primitive-procedure-names) (map car primitive-procedures)) | |
(define (primitive-procedure-objects) | |
(map (lambda (proc) (list 'primitive (cadr proc))) | |
primitive-procedures)) | |
(define (apply-primitive-procedure proc args) | |
(apply-in-underlying-scheme | |
(primitive-implementation proc) args)) | |
;;; REPL | |
(define input-prompt ";;; M-Eval input") | |
(define output-prompt ";;; M-Eval output") | |
(define (prompt-for-input string) | |
(newline) | |
(newline) | |
(display string) | |
(newline)) | |
(define (announce-output string) | |
(newline) | |
(display string) | |
(newline)) | |
(define (user-print object) | |
(if (compound-procedure? object) | |
(display (list 'compound-procedure | |
(procedure-parameters object) | |
(procedure-body object) | |
'<procedure-env>)) | |
(display object))) | |
(define (driver-loop) | |
(prompt-for-input input-prompt) | |
(let ((input (read))) | |
(let ((output (eval input the-global-environment))) | |
(announce-output output-prompt) | |
(user-print output))) | |
(driver-loop)) | |
(driver-loop) |
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