Added SICP amb evaluator to answer 4.45

main
Felix Martin 2021-02-21 21:47:05 -05:00
parent 6f1b670bde
commit 2228572872
2 changed files with 796 additions and 20 deletions

View File

@ -1,27 +1,38 @@
(load "util.scm")
(load "misc/amb.scm")
(load "misc/sicp-ambeval.scm")
(define the-global-environment (setup-environment))
(define result '())
(define (amball exp)
(set! result '()) ; reset result
(ambeval exp
the-global-environment
(lambda (value next)
(set! result (cons value result))
(next))
(lambda () result))
(set! result (reverse result))
result)
(amball '(begin
(define (require p)
(if (not p) (amb)))
(define nouns '(noun student professor cat class))
(define verbs '(verb studies lectures eats sleeps))
(define articles '(article the a))
(define *unparsed* '())
; By default mit-scheme evaluates the list elements from last to first element.
; That means with the parse-implementation in the book the later part of a
; phrase is evaluated first which does not yield any results. To force the
; correct order we use a let expression and then built the return list from the
; let variables.
(define (parse-sentence)
(let* ((noun-phrase (parse-noun-phrase))
(verb-phrase (parse-word verbs)))
(list 'sentence noun-phrase verb-phrase)))
(list 'sentence
(parse-noun-phrase)
(parse-word verbs)))
(define (parse-noun-phrase)
(let* ((article-phrase (parse-word articles))
(noun-phrase (parse-word nouns)))
(list 'noun-phrase article-phrase noun-phrase)))
(list 'noun-phrase
(parse-word articles)
(parse-word nouns)))
(define (parse-word word-list)
(require (not (null? *unparsed*)))
@ -30,19 +41,156 @@
(set! *unparsed* (cdr *unparsed*))
(list (car word-list) found-word)))
(define *unparsed* '())
(define (parse input)
(set! *unparsed* input)
(let ((sent (parse-sentence)))
(require (null? *unparsed*))
sent))
(display "\nex-4.45 - parse-sentence\n")
(define prepositions '(prep for to in by with))
(my-assert (parse '(the cat eats))
'(sentence (noun-phrase (article the) (noun cat)) (verb eats)))
(define (parse-prepositional-phrase)
(list 'prep-phrase
(parse-word prepositions)
(parse-noun-phrase)))
;'(The professor lectures to the student in the class with the cat)
(define (parse-sentence)
(list 'sentence
(parse-noun-phrase)
(parse-verb-phrase)))
(display "\nex-4.46\n")
(define (parse-verb-phrase)
(define (maybe-extend verb-phrase)
(amb verb-phrase
(maybe-extend (list 'verb-phrase
verb-phrase
(parse-prepositional-phrase)))))
(maybe-extend (parse-word verbs)))
(define (parse-simple-noun-phrase)
(list 'simple-noun-phrase
(parse-word articles)
(parse-word nouns)))
(define (parse-noun-phrase)
(define (maybe-extend noun-phrase)
(amb noun-phrase
(maybe-extend (list 'noun-phrase
noun-phrase
(parse-prepositional-phrase)))))
(maybe-extend (parse-simple-noun-phrase)))
(parse '(the professor lectures to the student with the cat))
))
;'The professor lectures to the student in the class with the cat.'
(assert
(first result)
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb-phrase
(verb lectures)
(prep-phrase (prep to)
(simple-noun-phrase
(article the) (noun student))))
(prep-phrase (prep with)
(simple-noun-phrase
(article the) (noun cat))))))
(assert
(second result)
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb lectures)
(prep-phrase (prep to)
(noun-phrase
(simple-noun-phrase
(article the) (noun student))
(prep-phrase (prep with)
(simple-noun-phrase
(article the) (noun cat))))))))
(display "\nex-4.45 - sentence-meanings\n")
(amball '(parse '(The professor lectures to the student in the class with the cat)))
(assert (length result) 5)
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb-phrase
(verb-phrase
(verb lectures)
(prep-phrase
(prep to) (simple-noun-phrase (article the) (noun student))))
(prep-phrase
(prep in) (simple-noun-phrase (article the) (noun class))))
(prep-phrase (prep with) (simple-noun-phrase (article the) (noun cat)))))
; The professor lectures (to the student) in the class with the cat.
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb-phrase
(verb lectures)
(prep-phrase (prep to) (simple-noun-phrase (article the) (noun student))))
(prep-phrase
(prep in)
(noun-phrase
(simple-noun-phrase (article the) (noun class))
(prep-phrase (prep with)
(simple-noun-phrase (article the) (noun cat)))))))
; The professor lectures to the student (in the class with the cat).
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb-phrase
(verb lectures)
(prep-phrase
(prep to)
(noun-phrase
(simple-noun-phrase (article the) (noun student))
(prep-phrase (prep in) (simple-noun-phrase (article the) (noun class))))))
(prep-phrase (prep with) (simple-noun-phrase (article the) (noun cat)))))
; The professor lectures (to the student in the class) with the cat.
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb lectures)
(prep-phrase
(prep to)
(noun-phrase
(noun-phrase
(simple-noun-phrase (article the) (noun student))
(prep-phrase (prep in)
(simple-noun-phrase (article the) (noun class))))
(prep-phrase (prep with) (simple-noun-phrase (article the) (noun cat)))))))
; The professor lectures ((to the student in the class) with the cat).
'(sentence
(simple-noun-phrase (article the) (noun professor))
(verb-phrase
(verb lectures)
(prep-phrase
(prep to)
(noun-phrase
(simple-noun-phrase (article the) (noun student))
(prep-phrase
(prep in)
(noun-phrase
(simple-noun-phrase (article the) (noun class))
(prep-phrase (prep with) (simple-noun-phrase (article the) (noun cat)))))))))
; The professor lectures (to the student (in the class with the cat)).
(display "[answered]\n")
(display "\nex-4.46 - evaluation-order\n")

628
misc/sicp-ambeval.scm Normal file
View File

@ -0,0 +1,628 @@
; 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 (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))
;; 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))
((definition? exp) (analyze-definition exp))
((if? exp) (analyze-if 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)) ;**
((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))))
;;;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 (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))))
;;;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 'car car)
(list 'cdr cdr)
(list 'cons cons)
(list 'null? null?)
(list 'list list)
(list 'memq memq)
(list 'member member)
(list 'not not)
(list 'display display)
(list '+ +)
(list '- -)
(list '* *)
(list '= =)
(list '> >)
(list '>= >=)
(list '<= <=)
(list 'abs abs)
(list 'remainder remainder)
(list 'integer? integer?)
(list 'sqrt sqrt)
(list 'eq? eq?)
;; more primitives
))
'AMB-EVALUATOR-LOADED