;;;METACIRCULAR EVALUATOR FROM CHAPTER 4 (SECTIONS 4.1.1-4.1.4) of ;;; STRUCTURE AND INTERPRETATION OF COMPUTER PROGRAMS ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;Variant of code in ch4.scm: ;;; eval renamed mc-eval or lz-eval ;;; apply renamed mc-apply or lz-apply ;;; to distinguish from eval and apply in underlying scheme inplementation. ;;; Keywords for the language being evaluated are the Scheme keywords prefixed ;;; with "uml:" ;;; ;;; Changes: ;;; o 'quit at evaluator command prompt causes the evaluator to exit ;;; o Restructured code to get two versions of applicative order evaluators ;;; and two versions of normal order evaluators into same file. ;;; o Added some test code at end. ;;; ;;; (mc-eval #f) Runs book's Scheme evaluator from 4.1.1-4.1.4 ;;; (mc-eval #t) Runs variant language with dynamic binding (dynamic scope) ;;; (lz-eval #f) Runs book's normal-order evaluator from 4.2 ;;; (lz-eval #t) Runs book's normal-order evaluator with memoization 4.2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (load "sicp.ss") (require (lib "trace.ss")) ;;; common code for mc-eval, lz-eval ;;;SECTION 4.1.2 (define (self-evaluating? exp) (cond ((number? exp) true) ((string? exp) true) (else false))) (define (quoted? exp) (tagged-list? exp 'uml: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 'uml:set!)) (define (assignment-variable exp) (cadr exp)) (define (assignment-value exp) (caddr exp)) (define (definition? exp) (tagged-list? exp 'uml: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 'uml:lambda)) (define (lambda-parameters exp) (cadr exp)) (define (lambda-body exp) (cddr exp)) (define (make-lambda parameters body) (cons 'uml:lambda (cons parameters body))) (define (let? exp) (tagged-list? exp 'uml: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 (if? exp) (tagged-list? exp 'uml: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 'uml:if predicate consequent alternative)) (define (begin? exp) (tagged-list? exp 'uml: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 'uml: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 'uml: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)))))) ;;; environment handling (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 4.1.3 (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)) ;;;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)) (define (primitive-procedure? proc) (tagged-list? proc 'primitive)) (define (primitive-implementation proc) (cadr proc)) (define primitive-procedures (list (list 'uml:car car) (list 'uml:cdr cdr) (list 'uml:cons cons) (list 'uml:null? null?) (list 'uml:+ +) (list 'uml:- -) (list 'uml:/ /) (list 'uml:* *) (list 'uml:= =) (list 'uml:equal? equal?) (list 'uml:eqv? eqv?) (list 'uml:eq? eq?) (list 'uml:> >) (list 'uml:expt expt) (list 'uml:rem remainder) (list 'uml:display display) )) (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 (primitive-implementation proc) args)) ;;; common parts of 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))) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;SECTION 4.1.1 (define (run-mc-eval dynamic?) (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)) ((lambda? exp) (if dynamic? ;; dynamic scope: no need to store environment (make-procedure (lambda-parameters exp) (lambda-body exp) '*no-environment*) ;; lexical (static) scope: Scheme (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)) ((let? exp) (eval-sequence (let-body exp) (extend-environment (map let-var (let-bindings exp)) (map let-val (let-bindings exp)) env))) ((application? exp) (if dynamic? ;; dynamic scope: apply takes current environment (dyn-apply (mc-eval (operator exp) env) (list-of-values (operands exp) env) env) ;; lexical (static) scope, Scheme: get env from procedure (mc-apply (mc-eval (operator exp) env) (list-of-values (operands exp) env)))) (else (error "Unknown expression type -- EVAL" exp)))) (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 -- APPLY" procedure)))) (define (dyn-apply procedure arguments calling-env) ;extra parameter (cond ((primitive-procedure? procedure) (apply-primitive-procedure procedure arguments)) ((compound-procedure? procedure) (eval-sequence (procedure-body procedure) (extend-environment (procedure-parameters procedure) arguments calling-env))) ; changed here (else (error "Unknown procedure type -- APPLY" procedure)))) (define (list-of-values exps env) (if (no-operands? exps) '() (cons (mc-eval (first-operand exps) env) (list-of-values (rest-operands exps) env)))) (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))) (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)))) (define (eval-assignment exp env) (set-variable-value! (assignment-variable exp) (mc-eval (assignment-value exp) env) env) 'ok) (define (eval-definition exp env) (define-variable! (definition-variable exp) (mc-eval (definition-value exp) env) env) 'ok) ;;;SECTION 4.1.3 (define input-prompt ";;; MC-Eval input:") (define output-prompt ";;; MC-Eval value:") (define (driver-loop) (prompt-for-input input-prompt) (let ((input (read))) (if (not (equal? input '(quote quit))) (begin (let ((output (mc-eval input the-global-environment))) (announce-output output-prompt) (user-print output)) (driver-loop)) 'exiting-driver-loop))) (define the-global-environment (setup-environment)) (driver-loop) ) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (define (run-lz-eval memoize?) (define (lz-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) (lz-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) (lz-eval (cond->if exp) env)) ((application? exp) ;** (lz-apply (actual-value (operator exp) env) (operands exp) env)) (else (error "Unknown expression type -- LZ-EVAL" exp)))) (define (actual-value exp env) (force-it (lz-eval exp env))) (define (lz-apply procedure arguments env) (cond ((primitive-procedure? procedure) (apply-primitive-procedure procedure (list-of-arg-values arguments env))) ; changed ((compound-procedure? procedure) (eval-sequence (procedure-body procedure) (extend-environment (procedure-parameters procedure) (list-of-delayed-args arguments env) ; changed (procedure-environment procedure)))) (else (error "Unknown procedure type -- APPLY" procedure)))) (define (list-of-arg-values exps env) (if (no-operands? exps) '() (cons (actual-value (first-operand exps) env) (list-of-arg-values (rest-operands exps) env)))) (define (list-of-delayed-args exps env) (if (no-operands? exps) '() (cons (delay-it (first-operand exps) env) (list-of-delayed-args (rest-operands exps) env)))) (define (lz-eval-if exp env) (if (true? (actual-value (if-predicate exp) env)) (lz-eval (if-consequent exp) env) (lz-eval (if-alternative exp) env))) (define input-prompt ";;; L-Eval input:") (define output-prompt ";;; L-Eval value:") (define (driver-loop) (prompt-for-input input-prompt) (let ((input (read))) (if (not (equal? input '(quote quit))) (begin (let ((output (actual-value input the-global-environment))) (announce-output output-prompt) (user-print output)) (driver-loop)) 'exiting-driver-loop))) (define (force-it obj) (if (thunk? obj) (actual-value (thunk-exp obj) (thunk-env obj)) obj)) (define (delay-it exp env) (list 'thunk exp env)) (define (thunk? obj) (tagged-list? obj 'thunk)) (define (thunk-exp thunk) (cadr thunk)) (define (thunk-env thunk) (caddr thunk)) (define (evaluated-thunk? obj) (tagged-list? obj 'evaluated-thunk)) (define (thunk-value evaluated-thunk) (cadr evaluated-thunk)) (define (memoizing-force-it obj) (cond ((thunk? obj) (let ((result (actual-value (thunk-exp obj) (thunk-env obj)))) (set-car! obj 'evaluated-thunk) (set-car! (cdr obj) result) ; replace exp with its value (set-cdr! (cdr obj) '()) ; forget unneeded env result)) ((evaluated-thunk? obj) (thunk-value obj)) (else obj))) ;;; Same as mc-eval, except involves recursive evaluation and we have ;;; changed name of evaluator (define (eval-sequence exps env) (cond ((last-exp? exps) (lz-eval (first-exp exps) env)) (else (lz-eval (first-exp exps) env) (eval-sequence (rest-exps exps) env)))) (define (eval-assignment exp env) (set-variable-value! (assignment-variable exp) (lz-eval (assignment-value exp) env) env) 'ok) (define (eval-definition exp env) (define-variable! (definition-variable exp) (lz-eval (definition-value exp) env) env) 'ok) ;;; ;;; start lazy evaluator ;;; (define the-global-environment (setup-environment)) (if memoize? (set! force-it memoizing-force-it)) (driver-loop) ) ;;; some code for mc-eval demo #| (run-mc-eval #f) (uml:define (uml:square x) (uml:* x x)) (uml:define (uml:compose f g) (uml:lambda (x) (f (g x)))) (uml:define (uml:inc x) (uml:+ x 1)) ((uml:compose uml:square uml:inc) 5) |# ;;; lexical versus dynamic scope examples #| ;; (run-mc-eval #f) ;; versus ;; (run-mc-eval #t) (uml:define (foo x) (bar 20)) (uml:define (bar y) (uml:+ x y)) (foo 22) 'quit (uml:define (inc z) (uml:+ z 1)) (uml:define (sum term a next b) (uml:if (uml:> a b) 0 (uml:+ (term a) (sum term (next a) next b)))) (uml:define (sum-powers a b n) (uml:define (nth-power x) (uml:expt x n)) (sum nth-power a inc b)) (sum-powers 2 3 2) ;; change "next" to "n" in sum (uml:define (sum term a n b) (uml:if (uml:> a b) 0 (uml:+ (term a) (sum term (n a) next b)))) (sum-powers 2 3 2) ;; should give error: n dynamically bound to procedure inc. 'quit |# ;;; normal vs applicative order examples #| ;; (run-mc-eval #f) ;; versus ;; (run-lz-eval #f) (uml:define (foo x) (uml:display "evaluating foo, ") (uml:+ x x)) (foo (uml:begin (uml:display "eval arg, ") 2)) 'quit ;; (uml:define (try a b) (uml:if (uml:= a 0) 1 b)) (try 0 (uml:/ 1 0)) ;; also versus ;; (run-lz-eval #t) (uml:define (gcd a b) (uml:if (uml:= b 0) a (gcd b (uml:begin (uml:display "rem ") (uml:rem a b))))) (gcd 206 40) ;; (run-lz-eval #t) ;; lazy lists: replace Scheme cons, car, cdr ;; with "Church pairs" (uml:define (cons car-part cdr-part) (uml:lambda (m) (m car-part cdr-part))) (uml:define (car z) (z (uml:lambda (car-part cdr-part) car-part))) (uml:define (cdr z) (z (uml:lambda (car-part cdr-part) cdr-part))) ;; More stream stuff for example... (uml:define (list-ref items n) (uml:if (uml:= n 0) (car items) (list-ref (cdr items) (uml:- n 1)))) (uml:define (map proc items) (uml:if (uml:null? items) '() (cons (proc (car items)) (map proc (cdr items))))) (uml:define (scale-list items factor) (map (uml:lambda (x) (uml:* x factor)) items)) (uml:define (add-lists list1 list2) (uml:cond ((uml:null? list1) list2) ((uml:null? list2) list1) (else (cons (uml:+ (car list1) (car list2)) (add-lists (cdr list1) (cdr list2)))))) (uml:define ones (cons 1 ones)) (uml:define integers (cons 1 (add-lists ones integers))) ;; only run following line with memoizing #t ; (list-ref integers 17) ;; example of need for memoization: simple recurrence (uml:define (chatty-integers n) (cons n (uml:begin (uml:display "recurr on ") (uml:display n) (uml:display "\n") (chatty-integers (uml:+ n 1))))) (list-ref (chatty-integers 1) 5) ;; example of need for memoization: quadratic (uml:define chatty-integers2 (cons 0 (uml:begin (uml:display "recurr ") (add-lists ones chatty-integers2)))) (list-ref chatty-integers2 5) |#