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3-3-4.scm
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3-3-4.scm
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; Section 3.3.4
(load "library/queuedef.scm")
(define (displayln line)
(display line)
(newline)
)
(define (logical-not s)
(cond ((= s 0) 1)
((= s 1) 0)
(else (error "Invalid signal" s))
)
)
; included for help
(define (logical-and s1 s2)
(cond ((and (= s1 1) (= s2 1)) 1)
; Output 0 as long as any input is 0
((= s1 0) 0)
((= s2 0) 0)
(else (error "Invalid signals in (logical-and)"))
)
)
(define (logical-or s1 s2)
(cond ; Output 1 as long as any input is 1
((= s1 1) 1)
((= s2 1) 1)
((and (= s1 0) (= s2 0)) 0)
(else (error "Invalid signals in (logical-or)"))
)
)
; Supplied function boxes (inverter and and-gate)
(define (inverter input output)
(define (invert-input)
(let ((new-value (logical-not (get-signal input))))
(after-delay inverter-delay
(lambda () (set-signal! output new-value))
)
)
)
(add-action! input invert-input)
'ok
)
(define (and-gate a1 a2 output)
(define (and-action-procedure)
(let ((new-value (logical-and (get-signal a1) (get-signal a2))))
(after-delay and-gate-delay (lambda ()
(set-signal! output new-value)
)
)
)
)
(add-action! a1 and-action-procedure)
(add-action! a2 and-action-procedure)
'ok
)
; Adder components
(define (half-adder a b s c)
(let ((d (make-wire))
(e (make-wire))
)
(or-gate a b d)
(and-gate a b c)
(inverter c e)
(and-gate d e s)
'ok
)
)
(define (full-adder a b c-in sum c-out)
(let ((s (make-wire))
(c1 (make-wire))
(c2 (make-wire))
)
(half-adder b c-in s c1)
(half-adder a s sum c2)
(or-gate c1 c2 c-out)
'ok
)
)
; Constructor for wires
(define (make-wire)
(let ((signal-value 0) (action-procedures '()))
(define (set-my-signal! new-value)
(if (not (= signal-value new-value))
(begin
(set! signal-value new-value)
(call-each action-procedures)
'done
)
)
)
(define (accept-action-procedure! proc)
(set! action-procedures (cons proc action-procedures))
(proc)
)
(define (dispatch m)
(cond ((eq? m 'get-signal) signal-value)
((eq? m 'set-signal!) set-my-signal!)
((eq? m 'add-action!) accept-action-procedure!)
(else (error "Unknown operation -- WIRE" m))
)
)
dispatch
)
)
(define (call-each procedures)
(if (null? procedures)
'done
(begin
((car procedures))
(call-each (cdr procedures))
)
)
)
(define (get-signal wire) (wire 'get-signal))
(define (set-signal! wire new-value) ((wire 'set-signal!) new-value))
(define (add-action! wire action-procedure) ((wire 'add-action!) action-procedure))
; Agenda operations
(define (after-delay delay action)
(add-to-agenda! (+ delay (current-time the-agenda))
action
the-agenda
)
)
(define (propagate)
(if (empty-agenda? the-agenda)
'done
(let ((first-item (first-agenda-item the-agenda)))
(first-item)
(remove-first-agenda-item! the-agenda)
(propagate)
)
)
)
(define (probe name wire)
(add-action! wire
(lambda ()
;(newline)
(display name)
(display " ")
(display (current-time the-agenda))
(display " New-value = ")
(display (get-signal wire))
(newline)
)
)
)
; Agenda implementation
; Time segments
(define (make-time-segment time queue) (cons time queue))
(define (segment-time s) (car s))
(define (segment-queue s) (cdr s))
; Agendas
(define (make-agenda) (list 0))
(define (current-time agenda) (car agenda))
(define (set-current-time! agenda time)
(set-car! agenda time)
)
(define (segments agenda) (cdr agenda))
(define (set-segments! agenda segments)
(set-cdr! agenda segments)
)
(define (first-segment agenda) (car (segments agenda)))
(define (rest-segments agenda) (cdr (segments agenda)))
(define (empty-agenda? agenda) (null? (segments agenda)))
(define (add-to-agenda! time action agenda)
(define (belongs-before? segments)
(or (null? segments) (< time (segment-time (car segments))))
)
(define (make-new-time-segment time action)
(let ((q (make-queue)))
(insert-queue! q action)
(make-time-segment time q))
)
(define (add-to-segments! segments)
(if (= (segment-time (car segments)) time)
(insert-queue! (segment-queue (car segments))
action
)
(let ((rest (cdr segments)))
(if (belongs-before? rest)
(set-cdr! segments (cons (make-new-time-segment time action)
(cdr segments)
)
)
(add-to-segments! rest)
)
)
)
)
(let ((segments (segments agenda)))
(if (belongs-before? segments)
(set-segments! agenda (cons (make-new-time-segment time action)
segments
)
)
(add-to-segments! segments)
)
)
)
(define (remove-first-agenda-item! agenda)
(let ((q (segment-queue (first-segment agenda))))
(delete-queue! q)
(if (empty-queue? q)
(set-segments! agenda (rest-segments agenda))
)
)
)
(define (first-agenda-item agenda)
(if (empty-agenda? agenda)
(error "Agenda is empty -- FIRST-AGENDA-ITEM")
(let ((first-seg (first-segment agenda)))
(set-current-time! agenda (segment-time first-seg))
(front-queue (segment-queue first-seg))
)
)
)
; Ex 3.28.
; OR-gate
; <? define or-gate as primitive ?>
; Ex 3.29.
; OR-gate built from NOT and AND gates
; <? define or-gate using other gates ?>
; Ex 3.30.
; Ripple adder
; <? (define (ripple-carry-adder ... ; ?>
; Ex 3.31.
; Consider the alternate definition of accept-action-procedure!
;(define (accept-action-procedure! proc)
; (set! action-procedures (cons proc action-procedures)))
; Verification (example from text)
(displayln "Verifying example with half-adder")
(define the-agenda (make-agenda))
(define inverter-delay 2)
(define and-gate-delay 3)
(define or-gate-delay 5)
(define input-1 (make-wire))
(define input-2 (make-wire))
(define sum (make-wire))
(define carry (make-wire))
(probe 'sum sum)
(probe 'carry carry)
(half-adder input-1 input-2 sum carry)
(displayln "*Setting input-1 to 1*")
(set-signal! input-1 1)
(displayln "Running...")
(propagate)
(newline)
(displayln "*Setting input-2 to 1*")
(set-signal! input-2 1)
(displayln "Running...")
(propagate)
(newline)
; More detailed tests
(define (test-signal wire expected-value testing-time . name)
(define (test-action)
(let ((actual-value (get-signal wire))
)
(if (not (null? name))
(display (car name))
(display "test")
)
(display ": ")
(if (= expected-value actual-value)
(display "passed")
(begin
(display "test failed: Expected ")
(display expected-value)
(display " but was ")
(display actual-value)
)
)
(newline)
)
)
(add-to-agenda! testing-time
test-action
the-agenda
)
'test-added
)
(define (set-signal-at-time! wire new-value set-time)
(add-to-agenda! set-time
(lambda () (set-signal! wire new-value))
the-agenda
)
'signal-to-set
)
(define (show-message-at-time! msg set-time)
(add-to-agenda! set-time
(lambda () (displayln msg))
the-agenda
)
)
; Testing
; Set up wire tests for gates
(displayln "Running tests using test-signal")
; Input wires for testing
(define i1 (make-wire))
(define i2 (make-wire))
; Times at which to run each test in sequence
(define test-time1 0)
(define test-time2 10)
(define test-time3 20)
(displayln "Tests for INVERTER")
(set-current-time! the-agenda 0)
(define i1 (make-wire))
(define io1 (make-wire))
(inverter i1 io1)
(test-signal io1 0 0 "initial value")
(test-signal io1 1 (+ 1 test-time1 inverter-delay) "input low")
(test-signal io1 0 (+ 1 test-time2 inverter-delay) "input high")
(test-signal io1 1 (+ 1 test-time3 inverter-delay) "input switches low")
(set-signal-at-time! i1 0 test-time1)
(set-signal-at-time! i1 1 test-time2)
(set-signal-at-time! i1 0 test-time3)
(displayln "Running INVERTER tests")
(propagate)
; Tests for the AND gate
(newline)
(displayln "Tests for AND gate")
(set-current-time! the-agenda 0)
(define ao1 (make-wire))
(and-gate i1 i2 ao1)
(test-signal ao1 0 0 "initial value")
(set-signal-at-time! i2 1 test-time1)
(test-signal ao1 0 (+ 1 test-time1 and-gate-delay) "only input 2 high")
(set-signal-at-time! i1 1 test-time2)
(test-signal ao1 1 (+ 1 test-time2 and-gate-delay) "both set high")
(test-signal ao1 0 (+ 1 test-time3 and-gate-delay) "input 2 switches low")
(set-signal-at-time! i2 0 test-time3)
(displayln "Running AND tests")
(propagate)
; Tests for the OR gates
(newline)
(displayln "Tests for OR gate")
(set-current-time! the-agenda 0)
(define oo1 (make-wire))
(or-gate i1 i2 oo1)
(test-signal oo1 0 0 "initial value")
(test-signal oo1 1 (+ 1 test-time1 or-gate-delay) "input 2 high")
(test-signal oo1 1 (+ 1 test-time2 or-gate-delay) "both set high")
(test-signal oo1 1 (+ 1 test-time3 or-gate-delay) "input 2 switches low")
(set-signal-at-time! i2 1 test-time1)
(set-signal-at-time! i1 1 test-time2)
(set-signal-at-time! i2 0 test-time3)
(displayln "Running OR tests")
(propagate)
(newline)
(displayln "Tests for OR gate made from other gates")
(set-current-time! the-agenda 0)
(define oo2 (make-wire))
;<? or built from gates ?> i1 i2 oo2
(test-signal oo2 0 0 "initial value")
(test-signal oo2 1 (+ 1 test-time1 or-gate-delay) "input 2 high")
(test-signal oo2 1 (+ 1 test-time2 or-gate-delay) "both set high")
(test-signal oo2 1 (+ 1 test-time3 or-gate-delay) "input 2 switches low")
(set-signal-at-time! i2 1 test-time1)
(set-signal-at-time! i1 1 test-time2)
(set-signal-at-time! i2 0 test-time3)
(displayln "Running OR from other gate tests")
(propagate)
; Set up testing on a set of signals
(define (setup-test-series signals-to-set signals-to-test set-expected-sequence test-interval)
(define (setup-inputs values test-start-time)
(for-each (lambda (sig val)
(set-signal-at-time! sig val test-start-time)
)
signals-to-set
values
)
)
(define (setup-tests expected-values test-measure-time)
(for-each (lambda (sig exp-val)
(test-signal sig exp-val test-measure-time)
)
signals-to-test
expected-values
)
)
(define (test-iter test-time setvals expvals label-list)
(if (null? setvals)
'test-setup-done
(let ((test-end-time (+ test-interval test-time))
)
(if (not (null? label-list))
(show-message-at-time! (car label-list) test-time)
)
(setup-inputs (car setvals) test-time)
(setup-tests (car expvals) test-end-time)
(test-iter test-end-time
(cdr setvals)
(cdr expvals)
(if (null? label-list) label-list (cdr label-list))
)
)
)
)
(define (extract-labels current-labels se-list)
(if (null? se-list)
current-labels
(extract-labels
(if (null? (cddr (car se-list)))
current-labels
(append current-labels (cddr (car se-list)))
)
(cdr se-list)
)
)
)
(test-iter 0
(map (lambda (se-pair) (car se-pair)) set-expected-sequence)
(map (lambda (se-pair) (cadr se-pair)) set-expected-sequence)
(extract-labels '() set-expected-sequence)
)
)
(define i1 (make-wire))
(define i2 (make-wire))
(define i3 (make-wire))
; Test Half-adder to demonstrate test-series
(displayln "Testing HALF-ADDER")
(set-current-time! the-agenda 0)
(define ha-sum (make-wire))
(define ha-car (make-wire))
(half-adder i1 i2 ha-sum ha-car)
(setup-test-series (list i1 i2) ; the input wires
(list ha-sum ha-car) ; wirest to test
(list ; i1 i2 s c
(list '(0 0) '(0 0))
(list '(0 1) '(1 0))
(list '(1 1) '(0 1))
(list '(0 1) '(1 0))
(list '(1 0) '(1 0))
)
15 ; time between each test
)
(propagate)
; Test Ripple Carry Adder
(displayln "Testing Ripple Adder")
(set-current-time! the-agenda 0)
(define ra-inputA (list (make-wire) (make-wire) (make-wire))) ; input A (list)
(define ra-inputB (list (make-wire) (make-wire) (make-wire))) ; input B (list)
(define ra-Sum (list (make-wire) (make-wire) (make-wire))) ; output S (list)
(define ra-cout (make-wire)) ; output C
; Order arguments as needed; note how test values & outputs are used.
(ripple-carry-adder <? ra-inputA ra-inputB ra-Sum ra-cout ?> )
; Values appear here with MSB on left.
(define test-inputs (append ra-inputA ra-inputB))
(define inputs-results (list
(list '(0 0 0 0 0 0) '(0 0 0 0) "0 + 0") ; 0 + 0 = 0
(list '(0 0 1 0 0 1) '(0 0 1 0) "1 + 1") ; 1 + 1 = 2
(list '(0 0 1 1 0 0) '(0 1 0 1) "1 + 4") ; 1 + 4 = 5
(list '(1 1 0 0 0 1) '(0 1 1 1) "6 + 1") ; 6 + 1 = 7
(list '(1 1 1 0 0 0) '(0 1 1 1) "7 + 0") ; 0 + 7 = 7
(list '(1 0 0 1 0 0) '(1 0 0 0) "4 + 4") ; 4 + 4 = 8/0 + (carry set)
(list '(1 1 0 0 1 1) '(1 0 0 1) "6 + 3") ; 6 + 3 = 9/1 + (carry set)
(list '(1 1 1 1 1 1) '(1 1 1 0) "7 + 7") ; 7 + 7 = 14/6 + (carry set)
(list '(0 0 0 0 0 0) '(0 0 0 0) "all inputs 1->0") ; testing propagation delay
(list '(1 1 1 1 1 1) '(1 1 1 0) "all inputs 0->1") ;
(list '(0 0 0 0 0 1) '(0 0 0 1) "all but LSB of B to 0") ;
(list '(1 1 1 1 1 0) '(1 1 0 1) "all but LSB of B to 1") ;
)
)
(setup-test-series test-inputs
(cons ra-cout ra-Sum)
inputs-results
100 ; How small can this be? (Ex. 3.30)
)
(propagate)
(displayln "Ripple adder tests done")
; Ex 3.32.
; Order of execution
; All values are set at the same time step, but still are placed in the agenda in the order they are called.
; (This is not a demonstration of the two approaches, but it shows how there could be problems if LIFO were used).
(set-current-time! the-agenda 0)
(define i1 (make-wire))
(define i2 (make-wire))
(define and-out (make-wire))
(define prim-or-out (make-wire))
(define gate-or-out (make-wire))
;(<? or built from gates ?> i1 i2 gate-or-out)
(or-gate i1 i2 prim-or-out) ; re-order arguments if necessary
(and-gate i1 i2 and-out)
(newline)
(displayln "Verifying sequential execution")
(probe 'or-output-gates gate-or-out)
(probe 'or-output-prim prim-or-out)
(probe 'and-output and-out)
(newline)
(displayln "i1 = 0, i2 = 1 (i1 set first)")
(set-signal! i1 0)
(set-signal! i2 1)
(propagate)
(newline)
(displayln "i1 = 1, i2 = 0 (i1 set first)")
(set-signal! i1 1)
(set-signal! i2 0)
(propagate)
(newline)
(displayln "i1 = 0, i2 = 0 (i1 set first)")
(set-signal! i1 0)
(set-signal! i2 0)
(propagate)
(newline)
; Now enter them in a different order
(displayln "i1 = 0, i2 = 1 (i2 set first)")
(set-signal! i2 1)
(set-signal! i1 0)
(propagate)
(newline)
(displayln "i1 = 1, i2 = 0 (i2 set first)")
(set-signal! i2 0)
(set-signal! i1 1)
(propagate)