SICP/misc/sicp-ambeval.scm

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; 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!))
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(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)
'<procedure-env>))
(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))
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(define (ramb? exp) (tagged-list? exp 'ramb))
(define (ramb-choices exp) (cdr exp))
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; 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))
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((permanent-assignment? exp) (analyze-permanent-assignment exp))
((definition? exp) (analyze-definition exp))
((if? exp) (analyze-if exp))
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((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)) ;**
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((ramb? exp) (analyze-ramb exp)) ;**
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((lamb? exp) (analyze-lamb exp)) ;**
((or? exp) (analyze-or (clauses exp)))
((and? exp) (analyze-and (clauses exp)))
((application? exp) (analyze-application exp))
(else
(error "Unknown expression type -- ANALYZE" exp))))
(define (ambeval exp env succeed fail)
((analyze exp) env succeed fail))
(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))))
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(define (or? exp) (tagged-list? exp 'or))
(define (and? exp) (tagged-list? exp 'and))
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(define (clauses exp) (cdr exp))
(define (no-clauses? exp) (null? exp))
(define (first-clause exp) (car exp))
(define (rest-clauses exp) (cdr exp))
(define (analyze-or exp)
(if (no-clauses? exp)
(lambda (env succeed fail) (succeed #f fail))
(let ((cproc (analyze (first-clause exp))))
(lambda (env succeed fail)
(cproc
env
;; success continuation for clause value
(lambda (clause-value fail2)
(if (true? clause-value)
(succeed #t fail2)
((analyze-or (rest-clauses exp)) env succeed fail2)))
fail)))))
(define (analyze-and exp)
(if (no-clauses? exp)
(lambda (env succeed fail) (succeed #t fail))
(let ((cproc (analyze (first-clause exp))))
(lambda (env succeed fail)
(cproc
env
;; success continuation for clause value
(lambda (clause-value fail2)
(if (true? clause-value)
((analyze-and (rest-clauses exp)) env succeed fail2)
(succeed #f fail2)))
fail)))))
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;;;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))))
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(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))))
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(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
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(list (list '* *)
(list '+ +)
(list '- -)
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(list '<= <=)
(list '= =)
(list '> >)
(list '>= >=)
(list 'abs abs)
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(list 'assoc assoc)
(list 'append append)
(list 'caddr caddr)
(list 'cadr cadr)
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(list 'car car)
(list 'cddr cddr)
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(list 'cdr cdr)
(list 'cons cons)
(list 'display display)
(list 'equal? equal?)
(list 'eq? eq?)
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(list 'integer? integer?)
(list 'list list)
(list 'member member)
(list 'memq memq)
(list 'newline newline)
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(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->symbol string->symbol)
(list 'string-length string-length)
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(list 'string=? string=?)
(list 'substring substring)
(list 'symbol->string symbol->string)
(list 'symbol? symbol?)
))
'AMB-EVALUATOR-LOADED