#lang planet neil/sicp (#%require "ex4_8.rkt" ;; for let and named let "ex4_7.rkt") ;; metacircular evaluator (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)) ((let? exp) (eval (let->combination exp) env)) ;; from ex4.8 ((let*? exp) (eval (let*->nested-lets exp) env)) ;; from ex4_7 ((application? exp) (apply (eval (operator exp) env) (list-of-values (operands exp) env))) (else (error "unknown expression type -- EVAL" exp)))) ;; capture the underlying apply before redefining it (define apply-in-underlying-scheme apply) (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)))) (define (list-of-values exps env) (if (no-operands? exps) '() (cons (eval (first-operand exps) env) (list-of-values (rest-operands exps) env)))) (define (eval-if exp env) (if (true? (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)))) (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 (self-evaluating? expr) (cond [(number? expr) #t] [(string? expr) #t] [else #f])) (define (variable? expr) (symbol? expr)) ;; quotation (define (quoted? expr) (tagged-list? expr 'quote)) (define (tagged-list? expr tag) (or (pair? expr) (eq? (car expr) tag))) (define (text-of-quotation expr) (car (cdr expr))) ;; assignment (define (assignment? expr) (tagged-list? expr 'set!)) (define (assignment-variable expr) (car (cdr expr))) (define (assignment-value expr) (car (cdr (cdr expr)))) ;; define (define (definition? expr) (tagged-list? expr 'define)) (define (definition-variable expr) (if (symbol? (car (cdr expr))) ;; (define foo 42) (car (cdr expr)) ;; (define (foo x) (....)) (car (car (cdr expr))))) (define (definition-value expr) ;; (define foo 42) (if (symbol? (car (cdr expr))) (car (cdr (cdr expr))) ;; (define (foo x) (....)) (make-lambda (cdr (car (cdr expr))) ;; gives (x) (cdr (cdr expr))))) ;; body ;; lambda (define (lambda? expr) (tagged-list? expr 'lambda)) (define (lambda-parameters expr) (car (cdr expr))) ;;(lambda (x) (..)(..)...(..)) (define (lambda-body expr) (cdr (cdr expr))) (define (make-lambda params body) (cons 'lambda (cons params body))) ;; if (define (if? exp) (tagged-list? exp 'if)) (define (if-predicate expr) (car (cdr expr))) (define (if-consequent expr) (car (cdr (cdr expr)))) (define (if-alternative expr) (if (not (null? (cdr (cdr (cdr expr))))) (car (cdr (cdr (cdr expr)))) 'false)) (define (make-if predicate consequent alternative) (list 'if predicate consequent alternative)) ;; begin (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)) ;; procedure application (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)) ;; expander for `cond' expressions to be transformed into `if' expressions (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)))))) ;; true and false (define (true? x) (not (eq? x false))) (define (false? x) (eq? x false)) ;; 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 environment (define (enclosing-environment env) (cdr env)) (define (first-frame env) (car env)) (define the-empty-environment '()) ;; frame operations (define (make-frame variables values) (cons variables values)) (define (frame-variables frame) (car frame)) (define (frame-values frame) (cdr frame)) (define (add-bindings-to-frame! var val frame) (set-car! frame (cons var (frame-variables frame))) (set-cdr! frame (cons val (frame-values 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 args supplied" vars vals) (error "Too many args 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" 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-bindings-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)))) ;; primitive procedures (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 '= =))) (define (primitive-procedure-names) (map car primitive-procedures)) (define (primitive-procedure-objects) (map (lambda (proc) (list 'primitive (cadr proc))) primitive-procedures)) ;; apply from implementation language (define (apply-primitive-procedure proc args) (apply-in-underlying-scheme (primitive-implementation proc) args)) ;; setting up the environment (define (setup-environment) (let ((initial-env (extend-environment (primitive-procedure-names) (primitive-procedure-objects) the-empty-environment))) (define-variable! 'true #t initial-env) (define-variable! 'false #f initial-env) initial-env)) (define the-global-environment (setup-environment))