SICP/ex-4_78-79.scm

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(load "util.scm")
(load "misc/sicp-ambeval.scm")
(define the-global-environment (setup-environment))
(define result '())
; Copied from 4.45
(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 input-prompt ";;; Query input:")
(define output-prompt ";;; Query results:")
(define (query-driver-loop)
(prompt-for-input input-prompt)
(let ((q (query-syntax-process (read))))
(cond ((assertion-to-be-added? q)
(add-rule-or-assertion! (add-assertion-body q))
(newline)
(display "Assertion added to data base.")
(query-driver-loop))
(else
(newline)
(display output-prompt)
;; [extra newline at end] (announce-output output-prompt)
(display-list
(map
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(lambda (frame)
(instantiate q
frame
(lambda (v f)
(contract-question-mark v))))
(qeval q (singleton-list '()))))
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(query-driver-loop)))))
(define (instantiate exp frame unbound-var-handler)
(define (copy exp)
(cond ((var? exp)
(let ((binding (binding-in-frame exp frame)))
(if binding
(copy (binding-value binding))
(unbound-var-handler exp frame))))
((pair? exp)
(cons (copy (car exp)) (copy (cdr exp))))
(else exp)))
(copy exp))
;;;SECTION 4.4.4.2
;;;The Evaluator
(define (qeval query frame-list)
;; (display "QEVAL ") (display query) (newline)
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(let ((qproc (get (type query) 'qeval)))
(if qproc
(qproc (contents query) frame-list)
(simple-query query frame-list))))
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;;;Simple queries
(define (simple-query query-pattern frame-list)
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;; (display "SIMPLE-QUERY ") (display query-pattern) (newline)
(flatmap
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(lambda (frame)
(append
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(find-assertions query-pattern frame)
(apply-rules query-pattern frame)))
frame-list))
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;;;Compound queries
(define (conjoin conjuncts frame-list)
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(if (empty-conjunction? conjuncts)
frame-list
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(conjoin (rest-conjuncts conjuncts)
(qeval (first-conjunct conjuncts)
frame-list))))
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;;(put 'and 'qeval conjoin)
(define (disjoin disjuncts frame-list)
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(if (empty-disjunction? disjuncts)
'()
(interleave
(qeval (first-disjunct disjuncts) '())
(disjoin (rest-disjuncts disjuncts) frame-list))))
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;;(put 'or 'qeval disjoin)
;;;Filters
(define (negate operands frame-list)
(flatmap
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(lambda (frame)
(if (null? (qeval (negated-query operands)
(singleton-list frame)))
(singleton-list frame)
'()))
frame-list))
(define (uniquely-asserted query frame-list)
(flatmap
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(lambda (frame)
(let ((matches (qeval (car query) (singleton-list frame))))
(cond ((null? matches) matches)
((null? (cdr matches)) matches)
(else '()))))
frame-list))
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;;(put 'not 'qeval negate)
(define (lisp-value call frame-list)
(flatmap
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(lambda (frame)
(if (execute
(instantiate
call
frame
(lambda (v f)
(error "Unknown pat var -- LISP-VALUE" v))))
(singleton-list frame)
'()))
frame-list))
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;;(put 'lisp-value 'qeval lisp-value)
(define (execute exp)
(display "EXECUTE ") (display exp) (newline)
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(apply (eval (predicate exp) user-initial-environment)
(args exp)))
(define (always-true ignore frame-list) frame-list)
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;;(put 'always-true 'qeval always-true)
(define (find-assertions pattern frame)
;; (display "FIND-ASSERTIONS ") (display pattern) (newline)
(flatmap
(lambda (datum) (check-an-assertion datum pattern frame))
(fetch-assertions pattern frame)))
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(define (check-an-assertion assertion query-pat query-frame)
(let ((match-result
(pattern-match query-pat assertion query-frame)))
(if (eq? match-result 'failed)
'()
(singleton-list match-result))))
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(define (pattern-match pat dat frame)
(cond ((eq? frame 'failed) 'failed)
((equal? pat dat) frame)
((var? pat) (extend-if-consistent pat dat frame))
((and (pair? pat) (pair? dat))
(pattern-match (cdr pat)
(cdr dat)
(pattern-match (car pat)
(car dat)
frame)))
(else 'failed)))
(define (extend-if-consistent var dat frame)
(let ((binding (binding-in-frame var frame)))
(if binding
(pattern-match (binding-value binding) dat frame)
(extend var dat frame))))
;;;SECTION 4.4.4.4
;;;Rules and Unification
(define (apply-rules pattern frame)
(flatmap (lambda (rule)
(apply-a-rule rule pattern frame))
(fetch-rules pattern frame)))
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(define (apply-a-rule rule query-pattern query-frame)
(let ((clean-rule (rename-variables-in rule)))
(let ((unify-result
(unify-match query-pattern
(conclusion clean-rule)
query-frame)))
(if (eq? unify-result 'failed)
'()
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(qeval (rule-body clean-rule)
(singleton-list unify-result))))))
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(define (rename-variables-in rule)
(let ((rule-application-id (new-rule-application-id)))
(define (tree-walk exp)
(cond ((var? exp)
(make-new-variable exp rule-application-id))
((pair? exp)
(cons (tree-walk (car exp))
(tree-walk (cdr exp))))
(else exp)))
(tree-walk rule)))
(define (unify-match p1 p2 frame)
(cond ((eq? frame 'failed) 'failed)
((equal? p1 p2) frame)
((var? p1) (extend-if-possible p1 p2 frame))
((var? p2) (extend-if-possible p2 p1 frame)) ; {\em ; ***}
((and (pair? p1) (pair? p2))
(unify-match (cdr p1)
(cdr p2)
(unify-match (car p1)
(car p2)
frame)))
(else 'failed)))
(define (extend-if-possible var val frame)
(let ((binding (binding-in-frame var frame)))
(cond (binding
(unify-match
(binding-value binding) val frame))
((var? val) ; {\em ; ***}
(let ((binding (binding-in-frame val frame)))
(if binding
(unify-match
var (binding-value binding) frame)
(extend var val frame))))
((depends-on? val var frame) ; {\em ; ***}
'failed)
(else (extend var val frame)))))
(define (depends-on? exp var frame)
(define (tree-walk e)
(cond ((var? e)
(if (equal? var e)
true
(let ((b (binding-in-frame e frame)))
(if b
(tree-walk (binding-value b))
false))))
((pair? e)
(or (tree-walk (car e))
(tree-walk (cdr e))))
(else false)))
(tree-walk exp))
;;;SECTION 4.4.4.5
;;;Maintaining the Data Base
(define THE-ASSERTIONS '())
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(define (fetch-assertions pattern frame)
;; (display "FETCH-ASSERTIONS ") (display pattern) (newline)
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(if (use-index? pattern)
(get-indexed-assertions pattern)
(get-all-assertions)))
(define (get-all-assertions) THE-ASSERTIONS)
(define (get-indexed-assertions pattern)
(get-stream (index-key-of pattern) 'assertion-stream))
(define (get-stream key1 key2)
(let ((s (get key1 key2)))
(if s s '())))
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(define THE-RULES '())
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(define (fetch-rules pattern frame)
(if (use-index? pattern)
(get-indexed-rules pattern)
(get-all-rules)))
(define (get-all-rules) THE-RULES)
(define (get-indexed-rules pattern)
(append
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(get-stream (index-key-of pattern) 'rule-stream)
(get-stream '? 'rule-stream)))
(define (add-rule-or-assertion! assertion)
(if (rule? assertion)
(add-rule! assertion)
(add-assertion! assertion)))
(define (add-assertion! assertion)
(store-assertion-in-index assertion)
(let ((old-assertions THE-ASSERTIONS))
(set! THE-ASSERTIONS
(cons assertion old-assertions))
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'ok))
(define (add-rule! rule)
(store-rule-in-index rule)
(let ((old-rules THE-RULES))
(set! THE-RULES (stream rule old-rules))
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'ok))
(define (store-assertion-in-index assertion)
(if (indexable? assertion)
(let ((key (index-key-of assertion)))
(let ((current-assertion-stream
(get-stream key 'assertion-stream)))
(put key
'assertion-stream
(cons assertion
current-assertion-stream))))))
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(define (store-rule-in-index rule)
(let ((pattern (conclusion rule)))
(if (indexable? pattern)
(let ((key (index-key-of pattern)))
(let ((current-rule-stream
(get-stream key 'rule-stream)))
(put key
'rule-stream
(cons rule
current-rule-stream)))))))
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(define (indexable? pat)
(or (constant-symbol? (car pat))
(var? (car pat))))
(define (index-key-of pat)
(let ((key (car pat)))
(if (var? key) '? key)))
(define (use-index? pat)
(constant-symbol? (car pat)))
;;;SECTION 4.4.4.6
;;;Stream operations
(define stream-null? null?)
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(define (interleave s1 s2)
(if (null? s1)
s2
(cons
(car s1)
(interleave s2 (cdr s1)))))
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(define (flatmap proc xs)
(flatten (map proc xs)))
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(define (map proc xs)
(if (null? xs)
'()
(cons (proc (car xs))
(map proc (cdr xs)))))
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(define (flatten stream)
(if (null? stream)
'()
(interleave
(car stream)
(flatten (cdr stream)))))
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(define (singleton-list x)
(cons x '()))
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;;;SECTION 4.4.4.7
;;;Query syntax procedures
(define (type exp)
(if (pair? exp)
(car exp)
(error "Unknown expression TYPE" exp)))
(define (contents exp)
(if (pair? exp)
(cdr exp)
(error "Unknown expression CONTENTS" exp)))
(define (assertion-to-be-added? exp)
(eq? (type exp) 'assert!))
(define (add-assertion-body exp)
(car (contents exp)))
(define (empty-conjunction? exps) (null? exps))
(define (first-conjunct exps) (car exps))
(define (rest-conjuncts exps) (cdr exps))
(define (empty-disjunction? exps) (null? exps))
(define (first-disjunct exps) (car exps))
(define (rest-disjuncts exps) (cdr exps))
(define (negated-query exps) (car exps))
(define (predicate exps) (car exps))
(define (args exps) (cdr exps))
(define (rule? statement)
(tagged-list? statement 'rule))
(define (conclusion rule) (cadr rule))
(define (rule-body rule)
(if (null? (cddr rule))
'(always-true)
(caddr rule)))
(define (query-syntax-process exp)
(map-over-symbols expand-question-mark exp))
(define (map-over-symbols proc exp)
(cond ((pair? exp)
(cons (map-over-symbols proc (car exp))
(map-over-symbols proc (cdr exp))))
((symbol? exp) (proc exp))
(else exp)))
(define (expand-question-mark symbol)
(let ((chars (symbol->string symbol)))
(if (string=? (substring chars 0 1) "?")
(list '?
(string->symbol
(substring chars 1 (string-length chars))))
symbol)))
(define (var? exp)
(tagged-list? exp '?))
(define (constant-symbol? exp) (symbol? exp))
(define rule-counter 0)
(define (new-rule-application-id)
(set! rule-counter (+ 1 rule-counter))
rule-counter)
(define (make-new-variable var rule-application-id)
(cons '? (cons rule-application-id (cdr var))))
(define (contract-question-mark variable)
(string->symbol
(string-append "?"
(if (number? (cadr variable))
(string-append (symbol->string (caddr variable))
"-"
(number->string (cadr variable)))
(symbol->string (cadr variable))))))
;;;SECTION 4.4.4.8
;;;Frames and bindings
(define (make-binding variable value)
(cons variable value))
(define (binding-variable binding)
(car binding))
(define (binding-value binding)
(cdr binding))
(define (binding-in-frame variable frame)
(assoc variable frame))
(define (extend variable value frame)
(cons (make-binding variable value) frame))
;;;;From Section 4.1
(define (tagged-list? exp tag)
(if (pair? exp)
(eq? (car exp) tag)
false))
(define (prompt-for-input string)
(newline) (newline) (display string) (newline))
;;;;Stream support from Chapter 3
(define (display-list s)
(map display-line s))
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(define (display-line x)
(display x)
(newline))
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;;;;Table support from Chapter 3, Section 3.3.3 (local tables)
(define (make-table)
(let ((local-table (list '*table*)))
(define (lookup key-1 key-2)
(let ((subtable (assoc key-1 (cdr local-table))))
(if subtable
(let ((record (assoc key-2 (cdr subtable))))
(if record
(cdr record)
false))
false)))
(define (insert! key-1 key-2 value)
(let ((subtable (assoc key-1 (cdr local-table))))
(if subtable
(let ((record (assoc key-2 (cdr subtable))))
(if record
(set-cdr! record value)
(set-cdr! subtable
(cons (cons key-2 value)
(cdr subtable)))))
(set-cdr! local-table
(cons (list key-1
(cons key-2 value))
(cdr local-table)))))
'ok)
(define (dispatch m)
(cond ((eq? m 'lookup-proc) lookup)
((eq? m 'insert-proc!) insert!)
(else (error "Unknown operation -- TABLE" m))))
dispatch))
;;;; From instructor's manual
(define get '())
(define put '())
(define (initialize-data-base rules-and-assertions)
(define (deal-out r-and-a rules assertions)
(cond ((null? r-and-a)
(set! THE-ASSERTIONS assertions)
(set! THE-RULES rules)
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'done)
(else
(let ((s (query-syntax-process (car r-and-a))))
(cond ((rule? s)
(store-rule-in-index s)
(deal-out (cdr r-and-a)
(cons s rules)
assertions))
(else
(store-assertion-in-index s)
(deal-out (cdr r-and-a)
rules
(cons s assertions))))))))
(let ((operation-table (make-table)))
(set! get (operation-table 'lookup-proc))
(set! put (operation-table 'insert-proc!)))
(put 'and 'qeval conjoin)
(put 'or 'qeval disjoin)
(put 'not 'qeval negate)
(put 'unique 'qeval uniquely-asserted)
(put 'lisp-value 'qeval lisp-value)
(put 'always-true 'qeval always-true)
(deal-out rules-and-assertions '() '()))
;; Do following to reinit the data base from microshaft-data-base
;; in Scheme (not in the query driver loop)
;; (initialize-data-base microshaft-data-base)
(define microshaft-data-base
'(
;; from section 4.4.1
(address (Bitdiddle Ben) (Slumerville (Ridge Road) 10))
(id (Bitdiddle Ben) 0)
(job (Bitdiddle Ben) (computer wizard))
(salary (Bitdiddle Ben) 60000)
(address (Hacker Alyssa P) (Cambridge (Mass Ave) 78))
(id (Hacker Alyssa P) 1)
(job (Hacker Alyssa P) (computer programmer))
(salary (Hacker Alyssa P) 40000)
(supervisor (Hacker Alyssa P) (Bitdiddle Ben))
(address (Fect Cy D) (Cambridge (Ames Street) 3))
(id (Fect Cy D) 2)
(job (Fect Cy D) (computer programmer))
(salary (Fect Cy D) 35000)
(supervisor (Fect Cy D) (Bitdiddle Ben))
(address (Tweakit Lem E) (Boston (Bay State Road) 22))
(id (Tweakit Lem E) 3)
(job (Tweakit Lem E) (computer technician))
(salary (Tweakit Lem E) 25000)
(supervisor (Tweakit Lem E) (Bitdiddle Ben))
(address (Reasoner Louis) (Slumerville (Pine Tree Road) 80))
(id (Reasoner Louis) 4)
(job (Reasoner Louis) (computer programmer trainee))
(salary (Reasoner Louis) 30000)
(supervisor (Reasoner Louis) (Hacker Alyssa P))
(supervisor (Bitdiddle Ben) (Warbucks Oliver))
(address (Warbucks Oliver) (Swellesley (Top Heap Road)))
(id (Warbucks Oliver) 5)
(job (Warbucks Oliver) (administration big wheel))
(salary (Warbucks Oliver) 150000)
(address (Scrooge Eben) (Weston (Shady Lane) 10))
(id (Scrooge Eben) 6)
(job (Scrooge Eben) (accounting chief accountant))
(salary (Scrooge Eben) 75000)
(supervisor (Scrooge Eben) (Warbucks Oliver))
(address (Cratchet Robert) (Allston (N Harvard Street) 16))
(id (Cratchet Robert) 7)
(job (Cratchet Robert) (accounting scrivener))
(salary (Cratchet Robert) 18000)
(supervisor (Cratchet Robert) (Scrooge Eben))
(address (Aull DeWitt) (Slumerville (Onion Square) 5))
(id (Aull DeWitt) 8)
(job (Aull DeWitt) (administration secretary))
(salary (Aull DeWitt) 25000)
(supervisor (Aull DeWitt) (Warbucks Oliver))
(meeting accounting (Monday 9am))
(meeting administration (Monday 10am))
(meeting computer (Wednesday 3pm))
(meeting administration (Friday 1pm))
(meeting whole-company (Wednesday 4pm))
(can-do-job (computer wizard) (computer programmer))
(can-do-job (computer wizard) (computer technician))
(can-do-job (computer programmer)
(computer programmer trainee))
(can-do-job (administration secretary)
(administration big wheel))
(rule (lives-near ?person-1 ?person-2)
(and (address ?person-1 (?town . ?rest-1))
(address ?person-2 (?town . ?rest-2))
(not (same ?person-1 ?person-2))))
(rule (same ?x ?x))
(rule (wheel ?person)
(and (supervisor ?middle-manager ?person)
(supervisor ?x ?middle-manager)))
(rule (outranked-by ?staff-person ?boss)
(or (supervisor ?staff-person ?boss)
(and (supervisor ?staff-person ?middle-manager)
(outranked-by ?middle-manager ?boss))))
; From 4.63
(son Adam Cain)
(son Cain Enoch)
(son Enoch Irad)
(son Irad Mehujael)
(son Mehujael Methushael)
(son Methushael Lamech)
(wife Lamech Ada)
(son Ada Jabal)
(son Ada Jubal)
(married Mickey Minnie)
))
(define (rule-to-be-added? exp)
(eq? (car exp) 'rule))
(define (eval-query input)
(let ((q (query-syntax-process input)))
(cond ((assertion-to-be-added? q)
(add-rule-or-assertion! (add-assertion-body q)))
((rule-to-be-added? q)
(add-rule-or-assertion! q))
(else
(display-list
(map
(lambda (frame)
(instantiate q
frame
(lambda (v f)
(contract-question-mark v))))
(qeval q (singleton-list '()))))))))
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(initialize-data-base microshaft-data-base)
(eval-query
'(and (salary (Bitdiddle Ben) ?ben-amount)
(salary ?person ?amount)
(lisp-value > ?amount ?ben-amount)))
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(display "[done]\n")
))
(display "\nex-4.78 - non-deterministic-query\n")
; I am trying to get the query evaluator working within the non-deterministic
; evaluator. The next step is to implement analyze-or in the non-deterministic
; evaluator.
(display "\nex-4.79\n")