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1 (define (half-adder a b s c)
2 (let ((d (make-wire)) (e (make-wire)))
3 (or-gate a b d)
4 (and-gate a b c)
5 (inverter c e)
6 (and-gate d e s)
7 'ok))
8 (define (full-adder a b c-in sum c-out)
9 (let ((s (make-wire))
10 (c1 (make-wire))
11 (c2 (make-wire)))
12 (half-adder b c-in s c1)
13 (half-adder a s sum c2)
14 (or-gate c1 c2 c-out)
15 'ok))
16 (define (inverter input output)
17 (define (invert-input)
18 (let ((new-value (logical-not (get-signal input))))
19 (after-delay inverter-delay
20 (lambda ()
21 (set-signal! output new-value)))))
22 (add-action! input invert-input)
23 'ok)
24 (define (logical-not s)
25 (cond ((= s 0) 1)
26 ((= s 1) 0)
27 (else (error "Invalid signal" s))))
29 (define (and-gate a1 a2 output)
30 (define (logical-and x y)
31 (* x y))
32 (define (and-action-procedure)
33 (let ((new-value
34 (logical-and (get-signal a1) (get-signal a2))))
35 (after-delay and-gate-delay
36 (lambda ()
37 (set-signal! output new-value)))))
38 (add-action! a1 and-action-procedure)
39 (add-action! a2 and-action-procedure)
40 'ok)
41 (define (make-wire)
42 (let ((signal-value 0) (action-procedures '()))
43 (define (set-my-signal! new-value)
44 (if (not (= signal-value new-value))
45 (begin (set! signal-value new-value)
46 (call-each action-procedures))
47 'done))
48 (define (accept-action-procedure! proc)
49 (set! action-procedures (cons proc action-procedures))
50 (proc))
51 (define (dispatch m)
52 (cond ((eq? m 'get-signal) signal-value)
53 ((eq? m 'set-signal!) set-my-signal!)
54 ((eq? m 'add-action!) accept-action-procedure!)
55 (else (error "Unknown operation -- WIRE" m))))
56 dispatch))
57 (define (call-each procedures)
58 (if (null? procedures)
59 'done
60 (begin
61 ((car procedures))
62 (call-each (cdr procedures)))))
63 (define (get-signal wire)
64 (wire 'get-signal))
65 (define (set-signal! wire new-value)
66 ((wire 'set-signal!) new-value))
67 (define (add-action! wire action-procedure)
68 ((wire 'add-action!) action-procedure))
69 (define (after-delay delay action)
70 (add-to-agenda! (+ delay (current-time the-agenda))
71 action
72 the-agenda))
73 (define (propagate)
74 (if (empty-agenda? the-agenda)
75 'done
76 (let ((first-item (first-agenda-item the-agenda)))
77 (first-item)
78 (remove-first-agenda-item! the-agenda)
79 (propagate))))
80 (define (probe name wire)
81 (add-action! wire
82 (lambda ()
83 (newline)
84 (display name)
85 (display " ")
86 (display (current-time the-agenda))
87 (display " New-value = ")
88 (display (get-signal wire)))))
89 (define inverter-delay 2)
90 (define and-gate-delay 3)
91 (define or-gate-delay 5)
92 (define input-1 (make-wire))
93 (define input-2 (make-wire))
94 (define sum (make-wire))
95 (define carry (make-wire))
96 (define (make-time-segment time queue)
97 (cons time queue))
98 (define (segment-time s) (car s))
99 (define (segment-queue s) (cdr s))
100 (define (make-agenda) (list 0))
101 (define the-agenda (make-agenda))
102 (define (current-time agenda) (car agenda))
103 (define (set-current-time! agenda time)
104 (set-car! agenda time))
105 (define (segments agenda) (cdr agenda))
106 (define (set-segments! agenda segments)
107 (set-cdr! agenda segments))
108 (define (first-segment agenda) (car (segments agenda)))
109 (define (rest-segments agenda) (cdr (segments agenda)))
110 (define (empty-agenda? agenda)
111 (null? (segments agenda)))
112 (define (add-to-agenda! time action agenda)
113 (define (belongs-before? segments)
114 (or (null? segments)
115 (< time (segment-time (car segments)))))
116 (define (make-new-time-segment time action)
117 (let ((q (make-queue)))
118 (insert-queue! q action)
119 (make-time-segment time q)))
120 (define (add-to-segments! segments)
121 (if (= (segment-time (car segments)) time)
122 (insert-queue! (segment-queue (car segments))
123 action)
124 (let ((rest (cdr segments)))
125 (if (belongs-before? rest)
126 (set-cdr!
127 segments
128 (cons (make-new-time-segment time action)
129 (cdr segments)))
130 (add-to-segments! rest)))))
131 (let ((segments (segments agenda)))
132 (if (belongs-before? segments)
133 (set-segments!
134 agenda
135 (cons (make-new-time-segment time action)
136 segments))
137 (add-to-segments! segments))))
138 (define (remove-first-agenda-item! agenda)
139 (let ((q (segment-queue (first-segment agenda))))
140 (delete-queue! q)
141 (if (empty-queue? q)
142 (set-segments! agenda (rest-segments agenda)))))
143 (define (first-agenda-item agenda)
144 (if (empty-agenda? agenda)
145 (error "Agenda is empty -- FIRST-AGENDA-ITEM")
146 (let ((first-seg (first-segment agenda)))
147 (set-current-time! agenda (segment-time first-seg))
148 (front-queue (segment-queue first-seg)))))
149 (define (front-ptr queue) (car queue))
150 (define (rear-ptr queue) (cdr queue))
151 (define (set-front-ptr! queue item) (set-car! queue item))
152 (define (set-rear-ptr! queue item) (set-cdr! queue item))
153 (define (empty-queue? queue) (null? (front-ptr queue)))
154 (define (make-queue) (cons '() '()))(define (front-queue queue)
155 (if (empty-queue? queue)
156 (error "FRONT called with an empty queue" queue)
157 (car (front-ptr queue))))
158 (define (insert-queue! queue item)
159 (let ((new-pair (cons item '())))
160 (cond ((empty-queue? queue)
161 (set-front-ptr! queue new-pair)
162 (set-rear-ptr! queue new-pair)
163 queue)
164 (else
165 (set-cdr! (rear-ptr queue) new-pair)
166 (set-rear-ptr! queue new-pair)
167 queue))))
168 (define (delete-queue! queue)
169 (cond ((empty-queue? queue)
170 (error "DELETE! called with an empty queue" queue))
171 (else
172 (set-front-ptr! queue (cdr (front-ptr queue)))
173 queue)))
175 (define (or-gate a1 a2 output)
176 (define (logical-or x y)
177 (if (or (= x 1) (= y 1))
179 0))
180 (define (or-action-procedure)
181 (let ((new-value (logical-or (get-signal a1) (get-signal a2))))
182 (after-delay or-gate-delay
183 (lambda ()
184 (set-signal! output new-value)))))
185 (add-action! a1 or-action-procedure)
186 (add-action! a2 or-action-procedure)
187 'ok)
189 (define (test-case actual expected)
190 (newline)
191 (display "Actual: ")
192 (display actual)
193 (newline)
194 (display "Expected: ")
195 (display expected)
196 (newline))
198 ;; Exercise 3.31. The internal procedure accept-action-procedure! defined in make-wire specifies that when a new action procedure is added to a wire, the procedure is immediately run. Explain why this initialization is necessary. In particular, trace through the half-adder example in the paragraphs above and say how the system's response would differ if we had defined accept-action-procedure! as
200 (define (accept-action-procedure! proc)
201 (set! action-procedures (cons proc action-procedures)))
203 ;; In that case, the initial state of the system may not be consistent. For example, suppose we had:
205 (define in-wire (make-wire))
206 (define out-wire (make-wire))
207 (inverter in-wire out-wire)
209 ;; out-wire should be set to 1 but it won't be until in-wire has its value changed, at which point the signal will finally propagate