networks: Add interaction?.
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networks.rkt
35
networks.rkt
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@ -31,6 +31,7 @@
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network?)]
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[list-syntactic-interactions (-> network-form? variable? (listof variable?))]
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[build-syntactic-interaction-graph (-> network-form? graph?)]
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[interaction? (-> network? domain-mapping/c variable? variable? boolean?)]
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[build-all-states (-> domain-mapping/c (listof state?))]
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[make-same-domains (-> (listof variable?) generic-set? domain-mapping/c)]
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[make-boolean-domains (-> (listof variable?) (hash/c variable? (list/c #f #t)))]
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@ -397,7 +398,41 @@
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#hash((a . 1) (b . 0))
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#hash((a . 1) (b . 1))))))
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;;; Given two variables x and y of a network f, verifies if they
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;;; interact, i.e. that there exists such a state s with the property
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;;; that s' which is s with a different value for x yields such a new
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;;; state f(s') in which the value for y is different from f(s).
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(define (interaction? network doms x y)
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(define states-not-x (build-all-states (hash-remove doms x)))
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(define (different-ys-exist? st)
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(define x-states (for/list ([x-val (in-list (hash-ref doms x))])
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(hash-set st x x-val)))
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(for*/first ([st1 x-states]
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[st2 x-states]
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#:unless (equal? (hash-ref st1 x) (hash-ref st2 x))
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#:unless (equal? ((hash-ref network y) st1)
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((hash-ref network y) st2)))
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#t))
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(for*/first ([st (in-list states-not-x)]
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#:when (different-ys-exist? st))
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#t))
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(module+ test
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(test-case "interaction?"
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(define n-bool (network-form->network
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(hash 'x '(not y)
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'y 'x
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'z '(and y z))))
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(define bool-doms (make-boolean-domains '(x y z)))
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(check-true (interaction? n-bool bool-doms 'x 'y))
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(check-true (interaction? n-bool bool-doms 'y 'x))
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(check-false (interaction? n-bool bool-doms 'x 'z))
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(define n-multi (network-form->network
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(hash 'x '(max (+ y 1) 2)
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'y '(min (- y 1) 0))))
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(define 123-doms (make-same-domains '(x y) '(0 1 2)))
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(check-false (interaction? n-multi 123-doms 'x 'y))
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(check-true (interaction? n-multi 123-doms 'y 'x))))
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;;; ====================
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;;; Dynamics of networks
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