; COPIED FROM: https://mitpress.mit.edu/sites/default/files/sicp/code/index.html ;;;;METACIRCULAR EVALUATOR FROM CHAPTER 4 (SECTIONS 4.1.1-4.1.4) of ;;;; STRUCTURE AND INTERPRETATION OF COMPUTER PROGRAMS ;;;;Matches code in ch4.scm ;;;;This file can be loaded into Scheme as a whole. ;;;;Then you can initialize and start the evaluator by evaluating ;;;; the two commented-out lines at the end of the file (setting up the ;;;; global environment and starting the driver loop). ;;;;**WARNING: Don't load this file twice (or you'll lose the primitives ;;;; interface, due to renamings of apply). ;;;from section 4.1.4 -- must precede def of metacircular apply (define apply-in-underlying-scheme apply) ;;;SECTION 4.1.1 (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 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) ;;;SECTION 4.1.2 (define (self-evaluating? exp) (cond ((number? exp) true) ((string? exp) true) ((eq? exp #t) true) ((eq? exp #f) true) (else false))) (define (quoted? exp) (tagged-list? exp 'quote)) (define (text-of-quotation exp) (cadr exp)) (define (tagged-list? exp tag) (if (pair? exp) (eq? (car exp) tag) false)) (define (variable? exp) (symbol? exp)) (define (assignment? exp) (tagged-list? exp 'set!)) (define (permanent-assignment? exp) (tagged-list? exp 'permanent-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)) (cadr exp) (caadr exp))) (define (definition-value exp) (if (symbol? (cadr exp)) (caddr exp) (make-lambda (cdadr exp) (cddr exp)))) (define (lambda? exp) (tagged-list? exp 'lambda)) (define (lambda-parameters exp) (cadr exp)) (define (lambda-body exp) (cddr exp)) (define (make-lambda parameters body) (cons 'lambda (cons parameters 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 (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 (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 (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)))))) ;;;SECTION 4.1.3 (define (true? x) (not (eq? x false))) (define (false? x) (eq? x false)) (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)) (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)))) ;;;SECTION 4.1.4 (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)) ;[do later] (define the-global-environment (setup-environment)) (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?) ;; more primitives )) (define (primitive-procedure-names) (map car primitive-procedures)) (define (primitive-procedure-objects) (map (lambda (proc) (list 'primitive (cadr proc))) primitive-procedures)) ;[moved to start of file] (define apply-in-underlying-scheme apply) (define (apply-primitive-procedure proc args) (apply-in-underlying-scheme (primitive-implementation proc) args)) (define input-prompt ";;; M-Eval input:") (define output-prompt ";;; M-Eval value:") (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)) (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) ')) (display object))) ;;;Following are commented out so as not to be evaluated when ;;; the file is loaded. ;;(define the-global-environment (setup-environment)) ;;(driver-loop) 'METACIRCULAR-EVALUATOR-LOADED ;;;Code from SECTION 4.3.3, modified as needed to run it (define (amb? exp) (tagged-list? exp 'amb)) (define (amb-choices exp) (cdr exp)) (define (ramb? exp) (tagged-list? exp 'ramb)) (define (ramb-choices exp) (cdr exp)) ; The lamb statement takes a single list and treats each item as a value. So ; its the equivalent of (apply amb list) in Scheme. Since our evaluator does ; not support that expression we use lamb. Analyze-lamb calls analyze-amb. (define (lamb? exp) (tagged-list? exp 'lamb)) (define (lamb-choices exp) (cdr exp)) (define (analyze-lamb exp) (analyze-amb (cons (car exp) (cadr exp)))) ;; analyze from 4.1.6, with clause from 4.3.3 added ;; and also support for Let (define (analyze exp) (cond ((self-evaluating? exp) (analyze-self-evaluating exp)) ((quoted? exp) (analyze-quoted exp)) ((variable? exp) (analyze-variable exp)) ((assignment? exp) (analyze-assignment exp)) ((permanent-assignment? exp) (analyze-permanent-assignment exp)) ((definition? exp) (analyze-definition exp)) ((if? exp) (analyze-if exp)) ((if-fail? exp) (analyze-if-fail exp)) ((lambda? exp) (analyze-lambda exp)) ((begin? exp) (analyze-sequence (begin-actions exp))) ((cond? exp) (analyze (cond->if exp))) ((let? exp) (analyze (let->combination exp))) ;** ((amb? exp) (analyze-amb exp)) ;** ((ramb? exp) (analyze-ramb exp)) ;** ((lamb? exp) (analyze-lamb exp)) ;** ((or? exp) (analyze-or exp)) ((application? exp) (analyze-application exp)) (else (error "Unknown expression type -- ANALYZE" exp)))) (define (ambeval exp env succeed fail) ((analyze exp) env succeed fail)) ;;;Simple expressions (define (analyze-self-evaluating exp) (lambda (env succeed fail) (succeed exp fail))) (define (analyze-quoted exp) (let ((qval (text-of-quotation exp))) (lambda (env succeed fail) (succeed qval fail)))) (define (analyze-variable exp) (lambda (env succeed fail) (succeed (lookup-variable-value exp env) fail))) (define (analyze-lambda exp) (let ((vars (lambda-parameters exp)) (bproc (analyze-sequence (lambda-body exp)))) (lambda (env succeed fail) (succeed (make-procedure vars bproc env) fail)))) (define (or? exp) (tagged-list? exp 'or)) (define (clauses exp) (cdr exp)) (define (no-clauses? exp) (null? exp)) (define (first-clause exp) (car exp)) (define (rest-clauses exp) (cdr exp)) ; TODO: (define (analyze-or exp) ...) ;;;Conditionals and sequences (define (analyze-if exp) (let ((pproc (analyze (if-predicate exp))) (cproc (analyze (if-consequent exp))) (aproc (analyze (if-alternative exp)))) (lambda (env succeed fail) (pproc env ;; success continuation for evaluating the predicate ;; to obtain pred-value (lambda (pred-value fail2) (if (true? pred-value) (cproc env succeed fail2) (aproc env succeed fail2))) ;; failure continuation for evaluating the predicate fail)))) (define (if-fail? exp) (tagged-list? exp 'if-fail)) (define (if-fail-first exp) (cadr exp)) (define (if-fail-second exp) (caddr exp)) (define (analyze-sequence exps) (define (sequentially a b) (lambda (env succeed fail) (a env ;; success continuation for calling a (lambda (a-value fail2) (b env succeed fail2)) ;; failure continuation for calling a fail))) (define (loop first-proc rest-procs) (if (null? rest-procs) first-proc (loop (sequentially first-proc (car rest-procs)) (cdr rest-procs)))) (let ((procs (map analyze exps))) (if (null? procs) (error "Empty sequence -- ANALYZE")) (loop (car procs) (cdr procs)))) ;;;Definitions and assignments (define (analyze-definition exp) (let ((var (definition-variable exp)) (vproc (analyze (definition-value exp)))) (lambda (env succeed fail) (vproc env (lambda (val fail2) (define-variable! var val env) (succeed 'ok fail2)) fail)))) (define (analyze-assignment exp) (let ((var (assignment-variable exp)) (vproc (analyze (assignment-value exp)))) (lambda (env succeed fail) (vproc env (lambda (val fail2) ; *1* (let ((old-value (lookup-variable-value var env))) (set-variable-value! var val env) (succeed 'ok (lambda () ; *2* (set-variable-value! var old-value env) (fail2))))) fail)))) (define (analyze-permanent-assignment exp) (let ((var (assignment-variable exp)) (vproc (analyze (assignment-value exp)))) (lambda (env succeed fail) (vproc env (lambda (val fail2) (set-variable-value! var val env) (succeed 'ok (lambda () (fail2)))) fail)))) ;;;Procedure applications (define (analyze-application exp) (let ((fproc (analyze (operator exp))) (aprocs (map analyze (operands exp)))) (lambda (env succeed fail) (fproc env (lambda (proc fail2) (get-args aprocs env (lambda (args fail3) (execute-application proc args succeed fail3)) fail2)) fail)))) (define (get-args aprocs env succeed fail) (if (null? aprocs) (succeed '() fail) ((car aprocs) env ;; success continuation for this aproc (lambda (arg fail2) (get-args (cdr aprocs) env ;; success continuation for recursive ;; call to get-args (lambda (args fail3) (succeed (cons arg args) fail3)) fail2)) fail))) (define (execute-application proc args succeed fail) (cond ((primitive-procedure? proc) (succeed (apply-primitive-procedure proc args) fail)) ((compound-procedure? proc) ((procedure-body proc) (extend-environment (procedure-parameters proc) args (procedure-environment proc)) succeed fail)) (else (error "Unknown procedure type -- EXECUTE-APPLICATION" proc)))) ;;;amb expressions (define (analyze-amb exp) (let ((cprocs (map analyze (amb-choices exp)))) (lambda (env succeed fail) (define (try-next choices) (if (null? choices) (fail) ((car choices) env succeed (lambda () (try-next (cdr choices)))))) (try-next cprocs)))) ;;;Driver loop (define input-prompt ";;; Amb-Eval input:") (define output-prompt ";;; Amb-Eval value:") (define (driver-loop) (define (internal-loop try-again) (prompt-for-input input-prompt) (let ((input (read))) (if (eq? input 'try-again) (try-again) (begin (newline) (display ";;; Starting a new problem ") (ambeval input the-global-environment ;; ambeval success (lambda (val next-alternative) (announce-output output-prompt) (user-print val) (internal-loop next-alternative)) ;; ambeval failure (lambda () (announce-output ";;; There are no more values of") (user-print input) (driver-loop))))))) (internal-loop (lambda () (newline) (display ";;; There is no current problem") (driver-loop)))) ;;; Support for Let (as noted in footnote 56, p.428) (define (let? exp) (tagged-list? exp 'let)) (define (let-bindings exp) (cadr exp)) (define (let-body exp) (cddr exp)) (define (let-var binding) (car binding)) (define (let-val binding) (cadr binding)) (define (make-combination operator operands) (cons operator operands)) (define (let->combination exp) ;;make-combination defined in earlier exercise (let ((bindings (let-bindings exp))) (make-combination (make-lambda (map let-var bindings) (let-body exp)) (map let-val bindings)))) ;; A longer list of primitives -- suitable for running everything in 4.3 ;; Overrides the list in ch4-mceval.scm ;; Has Not to support Require; various stuff for code in text (including ;; support for Prime?); integer? and sqrt for exercise code; ;; eq? for ex. solution (define primitive-procedures (list (list '* *) (list '+ +) (list '- -) (list '<= <=) (list '= =) (list '> >) (list '>= >=) (list 'abs abs) (list 'assoc assoc) (list 'car car) (list 'cdr cdr) (list 'cons cons) (list 'display display) (list 'eq? eq?) (list 'integer? integer?) (list 'list list) (list 'member member) (list 'memq memq) (list 'newline newline) (list 'not not) (list 'null? null?) (list 'pair? pair?) (list 'remainder remainder) (list 'set-car! set-car!) (list 'set-cdr! set-cdr!) (list 'sqrt sqrt) (list 'string=? string=?) (list 'substring substring) (list 'symbol->string symbol->string) (list 'symbol? symbol?) (list 'the-empty-stream the-empty-stream) )) 'AMB-EVALUATOR-LOADED