;;; mc-eval.scm ;;; Metacircular evaluator from section 4.1 of SICP ;;; mc-eval and mc-apply are the heart of the evaluator ;;; This code supercedes the code handed out in lecture yesterday. ;;; It includes the special form and, which was not included in ;;; yesterday's notes. There are also minor modifications to correct ;;; some errors and to add some primitive procedures. (define (mc-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)) ((and? exp) (eval-and exp env)) ((lambda? exp) (make-procedure (lambda-parameters exp) (lambda-body exp) env)) ((begin? exp) (eval-sequence (begin-actions exp) env)) ((cond? exp) (mc-eval (cond->if exp) env)) ((application? exp) (mc-apply (mc-eval (operator exp) env) (list-of-values (operands exp) env))) (else (error "Unknown expression type -- MC-EVAL")))) (define (mc-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 -- MC-APPLY" procedure)))) ;;; list-of-values is used to produce the list of arguments to which ;;; a procedure is to be applied (define (list-of-values exps env) (if (no-operands? exps) '() (cons (mc-eval (first-operand exps) env) (list-of-values (rest-operands exps) env)))) ;;; eval-if evaluates the predicate part of an if expression in the ;;; given environment (define (eval-if exp env) (if (true? (mc-eval (if-predicate exp) env)) (mc-eval (if-consequent exp) env) (mc-eval (if-alternative exp) env))) ;;; eval-sequence is used by mc-apply to evaluate the sequence of ;;; expressions in a procedure body and by eval to evaluate the ;;; sequence of expressions in a begin expression (define (eval-sequence exps env) (cond ((last-exp? exps) (mc-eval (first-exp exps) env)) (else (mc-eval (first-exp exps) env) (eval-sequence (rest-exps exps) env)))) ;;; eval-assignment handles assignment to variables (define (eval-assignment exp env) (set-variable-value! (assignment-variable exp) (mc-eval (assignment-value exp) env) env) 'ok) ;;; eval-definition handles definition of variables (define (eval-definition exp env) (define-variable! (definition-variable exp) (mc-eval (definition-value exp) env) env) 'ok) ;;; Following are the procedures that define the syntax of our language ;;; We preface the usual scheme commands with "adu:" to allow us to ;;; differentiate when we are using the metacircular evaluator to ;;; evaluate expressions (it will only be used for "adu:" expressions) ;;; and when scheme code is being evaluated by the usual scheme ;;; interpreter ;;; Self-evaluating entities: numbers and strings (define (self-evaluating? exp) (cond ((number? exp) true) ((string? exp) true) (else false))) ;;; Variables (define (variable? exp) (symbol? exp)) ;;; Quotations (define (quoted? exp) (tagged-list? exp 'adu:quote)) (define (text-of-quotation exp) (cadr exp)) ;;; Special forms (in general) (define (tagged-list? exp tag) (if (pair? exp) (eq? (car exp) tag) false)) ;;; Assignment--- set! (define (assignment? exp) (tagged-list? exp 'adu:set!)) (define (assignment-variable exp) (cadr exp)) (define (assignment-value exp) (caddr exp)) ;;; Definitions (define (definition? exp) (tagged-list? exp 'adu:define)) (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) ;formal parameters (cddr exp)))) ;body ;;; lambda expressions (define (lambda? exp) (tagged-list? exp 'adu:lambda)) (define (lambda-parameters exp) (cadr exp)) (define (lambda-body exp) (cddr exp)) ;;; constructor for lambda expressions, used by definition-value above (define (make-lambda parameters body) (cons 'adu:lambda (cons parameters body))) ;;; if conditionals (define (if? exp) (tagged-list? exp 'adu: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)) ;;; constructor for if expressions, to be used for cond->if to ;;; transform cond expressions into if expressions (define (make-if predicate consequent alternative) (list 'adu:if predicate consequent alternative)) ;;; Procedures to implement adu:and as a special form in our new language (define (eval-and exp env) (define (iter clauses) (if (null? clauses) #t (if (false? (mc-eval (car clauses) env)) #f (iter (cdr clauses))))) (iter (and-clauses exp))) (define (and? exp) (tagged-list? exp 'adu:and)) (define (and-clauses exp) (cdr exp)) ;;; begin expressions (a.k.a. sequences) (define (begin? exp) (tagged-list? exp 'adu: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)) ;;; constructor sequence->exp for use by cond->if that transforms ;;; a sequence into a single expression, using begin if necessary (define (sequence->exp seq) (cond ((null? seq) seq) ((last-exp? seq) (first-exp seq)) (else (make-begin seq)))) (define (make-begin seq) (cons 'adu:begin seq)) ;;; procedure applications (define (application? exp) (pair? exp)) (define (operator exp) (car exp)) (define (operands exp) (cdr exp)) (define (no-operands? args) (null? args)) (define (first-operand args) (car args)) (define (rest-operands args) (cdr args)) ;;; cond conditionals: a derived expression (define (cond? exp) (tagged-list? exp 'adu:cond)) (define (cond-clauses exp) (cdr exp)) (define (cond-else-clause? clause) (eq? (cond-predicate clause) 'adu: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 (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)))))) ;;; Data structures for our evaluator ;;; for conditionals, we accept anything that isn't the explicit false ;;; object to be true (define (true? x) (not (eq? x false))) (define (false? x) (eq? x false)) ;;; representing procedures (define (make-procedure parameters body env) (list 'procedure parameters body env)) (define (compound-procedure? p) (tagged-list? p 'procedure)) (define (procedure-parameters p) (cadr p)) (define (procedure-body p) (caddr p)) (define (procedure-environment p) (cadddr p)) ;;; operations on environments ;;; an environment is represented as a list of frames (define (enclosing-environment env) (cdr env)) (define (first-frame env) (car env)) (define the-empty-environment '()) ;;; each frame of an environment is represented as a pair of lists: ;;; a list of the variables bound in that frame and a list of the ;;; associated values (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)))) ;;; to extend an environment by a new frame that associates variables ;;; with values, we make a frame consisting of the list of variables ;;; and the list of values, and we adjoin this to the environment -- ;;; signal an error if the number of variables does not match the ;;; number of values (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)))) ;;; to look up a variable in an environment, we scan the list of ;;; variables in the first frame. If we find the desired variable, ;;; we return the corresponding element in the list of values. If ;;; we do not find the variable in the current environment, we search ;;; the enclosing environment, and so on. If we reach the empty ;;; environment, signal an "unbound variable" error. (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)) ;;; to set a variable to a new value in a specified environment, ;;; we scan for the variable, just as in lookup-variable value, ;;; and change the corresponding value when we find it (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 vals)) (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)) ;;; to define a variable, we search the first frame for a binding ;;; for the variable, and change the binding if it exists (just as ;;; in set-variable-value!). If no such binding exists, we adjoin ;;; one to the first frame. (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)))) ;;; The following functions are used to allow the metacircular ;;; evaluator to be run (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 (primitive-procedure? proc) (tagged-list? proc 'primitive)) (define (primitive-implementation proc) (cadr proc)) (define primitive-procedures (list (list 'adu:car car) (list 'adu:cdr cdr) (list 'adu:cons cons) (list 'adu:null? null?) (list 'adu:+ +) (list 'adu:- -) (list 'adu:* *) (list 'adu:/ /) (list 'adu:= =) (list 'adu:> >) (list 'adu:< <))) (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)) (define apply-in-underlying-scheme apply) (define input-prompt ";;; MC-Eval input: ") (define output-prompt "\n;;; MC-Eval value: ") (define (driver-loop) (prompt-for-input input-prompt) (let ((input (read))) (let ((output (mc-eval input the-global-environment))) (announce-output output-prompt) (user-print output))) (driver-loop)) (define (prompt-for-input string) (newline) (newline) (display string)) (define (announce-output string) (display string)) (define (user-print object) (if (compound-procedure? object) (display (list 'compound-procedure (procedure-parameters object) (procedure-body object) ')) (display object))) (define the-global-environment (setup-environment)) (define *unparser-list-depth-limit* 7) (define *unparser-list-breadth-limit* 10) ;;; DISPLAY ;;; ;;; Supplants the version in the system and actually HAS breadth and depth limits. ;;; (pz, 10/2000) (load-option 'format) (define (display obj) (let ((breadth-limit (or *unparser-list-breadth-limit* 100)) (depth-limit (or *unparser-list-depth-limit* 100))) (define (nd obj depth breadth) (cond ((< breadth-limit breadth) (format #t "...")) ((< depth-limit depth) (format #t "...")) ((not (pair? obj)) (format #t "~A" obj)) ((pair? (car obj)) (format #t "(") (nd (car obj) (inc depth) breadth) (format #t ")") (if (not (null? (cdr obj))) (begin (format #t " ") (nd (cdr obj) depth (inc breadth))))) (else (if (null? (cdr obj)) (format #t "~A" (car obj)) (begin (format #t "~A" (car obj)) (format #t " ") (nd (cdr obj) depth (inc breadth))))))) (cond ((pair? obj) (format #t "(") (nd obj 1 1) (format #t ")")) (else (format #t "~A" obj))))) (define (mc-eval-loop) (set! the-global-environment (setup-environment)) (driver-loop))