networks: Update the IG-related functions.
IG = interaction graph
This commit is contained in:
Sergiu Ivanov
parent
393f1d2bba
commit
6fd3d41c7e
1 changed files with 81 additions and 79 deletions
160
networks.rkt
160
networks.rkt
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@ -32,12 +32,12 @@
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[network-form->network (-> network-form? 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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[get-interaction-sign (-> network? domain-mapping/c variable? variable? (or/c #f -1 0 1))]
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[build-interaction-graph (-> network? domain-mapping/c graph?)]
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[build-interaction-graph/form (-> network-form? domain-mapping/c graph?)]
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[build-signed-interaction-graph (-> network? domain-mapping/c graph?)]
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[build-signed-interaction-graph/form (-> network-form? domain-mapping/c graph?)]
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[interaction? (-> network? variable? variable? boolean?)]
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[get-interaction-sign (-> network? variable? variable? (or/c #f -1 0 1))]
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[build-interaction-graph (-> network? graph?)]
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[build-interaction-graph/form (-> network-form? graph?)]
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[build-signed-interaction-graph (-> network? graph?)]
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[build-signed-interaction-graph/form (-> network-form? graph?)]
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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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@ -410,10 +410,11 @@
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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 (interaction? network x y)
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(define doms (network-domains network))
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(define states-not-x (build-all-states (hash-remove doms x)))
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(define dom-x (hash-ref doms x))
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(define y-func (hash-ref network y))
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(define y-func (hash-ref (network-functions network) y))
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(define (different-ys-exist? st)
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(define x-states (for/list ([x-val (in-list dom-x)])
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(hash-set st x x-val)))
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@ -428,20 +429,20 @@
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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 n-bool (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 n1 (network-form->network (network-form n-bool bool-doms)))
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(check-true (interaction? n1 'x 'y))
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(check-true (interaction? n1 'y 'x))
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(check-false (interaction? n1 'x 'z))
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(define n-multi (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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(define n2 (network-form->network (network-form n-multi 123-doms)))
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(check-false (interaction? n2 'x 'y))
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(check-true (interaction? n2 'y 'x))))
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;;; Given two variables x and y of a network f, checks whether they
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;;; interact, and if they interact, returns 1 if increasing x leads to
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@ -450,10 +451,11 @@
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;;;
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;;; Use interaction? if you only need to know whether two variables
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;;; interact, because interaction? will be often faster.
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(define (get-interaction-sign network doms x y)
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(define (get-interaction-sign network x y)
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(define doms (network-domains network))
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(define dom-x (hash-ref doms x))
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(define dom-y (hash-ref doms y))
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(define y-func (hash-ref network y))
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(define y-func (hash-ref (network-functions network) y))
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(define (collect-impacts-on-y st)
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;; The way in which the values are ordered in the domains gives
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;; a total order on these values. This means that considering
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@ -487,45 +489,45 @@
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(module+ test
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(test-case "get-interaction-sign"
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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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't '(or (and (not x) y)
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(and x (not y))))))
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(define n-bool (hash 'x '(not y)
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'y 'x
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'z '(and y z)
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't '(or (and (not x) y)
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(and x (not y)))))
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(define bool-doms (make-boolean-domains '(x y z t)))
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(check-equal? (get-interaction-sign n-bool bool-doms 'x 'y) 1)
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(check-equal? (get-interaction-sign n-bool bool-doms 'y 'x) -1)
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(check-false (get-interaction-sign n-bool bool-doms 'x 'z))
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(check-equal? (get-interaction-sign n-bool bool-doms 'y 'z) 1)
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(check-equal? (get-interaction-sign n-bool bool-doms 'x 't) 0)
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(define n-multi (network-form->network
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(hash 'x '(min (+ y 1) 2)
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'y '(max (- y 1) 0)
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'z '(- 2 y)
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't '(abs (- y 1)))))
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(define n1 (network-form->network (network-form n-bool bool-doms)))
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(check-equal? (get-interaction-sign n1 'x 'y) 1)
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(check-equal? (get-interaction-sign n1 'y 'x) -1)
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(check-false (get-interaction-sign n1 'x 'z))
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(check-equal? (get-interaction-sign n1 'y 'z) 1)
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(check-equal? (get-interaction-sign n1 'x 't) 0)
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(define n-multi (hash 'x '(min (+ y 1) 2)
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'y '(max (- y 1) 0)
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'z '(- 2 y)
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't '(abs (- y 1))))
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(define 123-doms (make-same-domains '(x y z t) '(0 1 2)))
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(check-false (get-interaction-sign n-multi 123-doms 'x 'y))
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(check-equal? (get-interaction-sign n-multi 123-doms 'y 'x) 1)
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(check-equal? (get-interaction-sign n-multi 123-doms 'y 'z) -1)
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(check-equal? (get-interaction-sign n-multi 123-doms 'y 't) 0)
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(check-equal? (get-interaction-sign n-multi 123-doms 'y 'y) 1)))
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(define n2 (network-form->network (network-form n-multi 123-doms)))
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(check-false (get-interaction-sign n2 'x 'y))
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(check-equal? (get-interaction-sign n2 'y 'x) 1)
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(check-equal? (get-interaction-sign n2 'y 'z) -1)
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(check-equal? (get-interaction-sign n2 'y 't) 0)
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(check-equal? (get-interaction-sign n2 'y 'y) 1)))
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;;; Given a network, builds its interaction graph. The graph has
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;;; variables as nodes and has a directed edge from x to y if
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;;; interaction? returns #t for these variables, in this order.
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(define (build-interaction-graph network doms)
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(define vars (hash-keys network))
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(define (build-interaction-graph network)
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(define vars (hash-keys (network-functions network)))
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(unweighted-graph/directed
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(for*/list ([x (in-list vars)]
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[y (in-list vars)]
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#:when (interaction? network doms x y))
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#:when (interaction? network x y))
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(list x y))))
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;;; Like build-interaction-graph, but accepts a network form and
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;;; converts it a to a network.
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(define (build-interaction-graph/form form doms)
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(build-interaction-graph (network-form->network form) doms))
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(define build-interaction-graph/form
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(compose build-interaction-graph network-form->network))
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(module+ test
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(test-case "build-interaction-graph"
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@ -533,41 +535,41 @@
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[skip-expensive-tests?
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(displayln "Skipping test case build-interaction-graph.")]
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[else
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(define n-bool
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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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't '(or (and (not x) y)
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(and x (not y)))))
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(define n-bool (hash 'x '(not y)
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'y 'x
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'z '(and y z)
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't '(or (and (not x) y)
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(and x (not y)))))
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(define bool-doms (make-boolean-domains '(x y z t)))
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(check-equal? (graphviz (build-interaction-graph/form n-bool bool-doms))
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(define n1 (network-form->network (network-form n-bool bool-doms)))
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(check-equal? (graphviz (build-interaction-graph/form n1))
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"digraph G {\n\tnode0 [label=\"y\"];\n\tnode1 [label=\"z\"];\n\tnode2 [label=\"x\"];\n\tnode3 [label=\"t\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node2;\n\t\tnode1 -> node1;\n\t}\n\tsubgraph D {\n\t\tnode0 -> node3;\n\t\tnode0 -> node1;\n\t\tnode2 -> node3;\n\t}\n}\n")
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(define n-multi
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(hash 'x '(min (+ y 1) 2)
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'y '(max (- y 1) 0)
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'z '(- 2 y)
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't '(abs (- y 1))))
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(define n-multi (hash 'x '(min (+ y 1) 2)
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'y '(max (- y 1) 0)
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'z '(- 2 y)
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't '(abs (- y 1))))
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(define 123-doms (make-same-domains '(x y z t) '(0 1 2)))
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(check-equal? (graphviz (build-interaction-graph/form n-multi 123-doms))
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(define n2 (network-form->network (network-form n-multi 123-doms)))
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(check-equal? (graphviz (build-interaction-graph/form n2))
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"digraph G {\n\tnode0 [label=\"y\"];\n\tnode1 [label=\"z\"];\n\tnode2 [label=\"x\"];\n\tnode3 [label=\"t\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node0;\n\t}\n\tsubgraph D {\n\t\tnode0 -> node2;\n\t\tnode0 -> node3;\n\t\tnode0 -> node1;\n\t}\n}\n")])))
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;;; Given a network, builds its signed interaction graph. The graph
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;;; has variables as nodes and has a directed edge from x to
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;;; y labelled by the value get-interaction-sign for these variables,
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;;; in that order, unless this value is #f.
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(define (build-signed-interaction-graph network doms)
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(define vars (hash-keys network))
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(define (build-signed-interaction-graph network)
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(define vars (hash-keys (network-functions network)))
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(weighted-graph/directed
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(for*/list ([x (in-list vars)]
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[y (in-list vars)]
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[sign (in-value (get-interaction-sign network doms x y))]
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[sign (in-value (get-interaction-sign network x y))]
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#:unless (eq? sign #f))
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(list sign x y))))
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;;; Like build-signed-interaction-graph, but takes a network form and
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;;; converts it a to a network.
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(define (build-signed-interaction-graph/form form doms)
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(build-signed-interaction-graph (network-form->network form) doms))
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(define build-signed-interaction-graph/form
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(compose build-signed-interaction-graph network-form->network))
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(module+ test
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(test-case "build-signed-interaction-graph"
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@ -575,22 +577,22 @@
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[skip-expensive-tests?
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(displayln "Skipping test case build-signed-interaction-graph.")]
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[else
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(define n-bool
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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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't '(or (and (not x) y)
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(and x (not y)))))
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(define n-bool (hash 'x '(not y)
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'y 'x
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'z '(and y z)
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't '(or (and (not x) y)
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(and x (not y)))))
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(define bool-doms (make-boolean-domains '(x y z t)))
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(check-equal? (graphviz (build-signed-interaction-graph/form n-bool bool-doms))
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(define n1 (network-form->network (network-form n-bool bool-doms)))
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(check-equal? (graphviz (build-signed-interaction-graph/form n1))
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"digraph G {\n\tnode0 [label=\"y\"];\n\tnode1 [label=\"z\"];\n\tnode2 [label=\"x\"];\n\tnode3 [label=\"t\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode1 -> node1 [label=\"1\"];\n\t}\n\tsubgraph D {\n\t\tnode0 -> node2 [label=\"-1\"];\n\t\tnode0 -> node3 [label=\"0\"];\n\t\tnode0 -> node1 [label=\"1\"];\n\t\tnode2 -> node3 [label=\"0\"];\n\t\tnode2 -> node0 [label=\"1\"];\n\t}\n}\n")
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(define n-multi
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(hash 'x '(min (+ y 1) 2)
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'y '(max (- y 1) 0)
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'z '(- 2 y)
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't '(abs (- y 1))))
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(define n-multi (hash 'x '(min (+ y 1) 2)
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'y '(max (- y 1) 0)
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'z '(- 2 y)
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't '(abs (- y 1))))
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(define 123-doms (make-same-domains '(x y z t) '(0 1 2)))
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(check-equal? (graphviz (build-signed-interaction-graph/form n-multi 123-doms))
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(define n2 (network-form->network (network-form n-multi 123-doms)))
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(check-equal? (graphviz (build-signed-interaction-graph/form n2))
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"digraph G {\n\tnode0 [label=\"y\"];\n\tnode1 [label=\"z\"];\n\tnode2 [label=\"x\"];\n\tnode3 [label=\"t\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node0 [label=\"1\"];\n\t}\n\tsubgraph D {\n\t\tnode0 -> node2 [label=\"1\"];\n\t\tnode0 -> node3 [label=\"0\"];\n\t\tnode0 -> node1 [label=\"-1\"];\n\t}\n}\n")])))
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;;; ====================
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