Start the section Reading and printing TBNs and SBNs.

… and move some functions around without modifying them.
This commit is contained in:
Sergiu Ivanov 2023-08-07 16:17:53 +02:00
parent d9641e7b5b
commit 927877b02f
2 changed files with 135 additions and 133 deletions

View file

@ -366,6 +366,59 @@ Constructs a @racket[Network] out of the given @racket[tbn].
(update tbn s '(a b)))
]}
@defproc[(build-tbn-state-graph [tbn TBN]) Graph]{
Builds the state graph of a @racket[TBN].
This function constructs a @racket[(Network (U Zero One))] from
@racket[tbn], then builds the state graph of its synchronous dynamics,
and pretty-prints the node labels.
@ex[
(require (only-in "utils.rkt" dotit))
(dotit (build-tbn-state-graph
(hash 'a (tbf/state (hash 'a -1 'b 1) 0)
'b (tbf/state (hash 'a -1 'b 1) 1))))
]}
@defproc[(normalized-tbn? [tbn TBN]) Boolean]{
Checks whether @racket[tbn] is normalized: whether all of the
functions have the same inputs, and whether these inputs are exactly
the variables of @racket[tbn].
@ex[
(normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 'y -1) -1)
'y (tbf/state (hash 'x -1 'y 0) -1)))
(normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 ) -1)
'y (tbf/state (hash 'y 0) -1)))
]}
@defproc[(normalize-tbn (tbn TBF)) TBN]{
Normalizes @racket[tbn]: for every @racket[TBF/State], removes the
inputs that are not in the variables of @racket[tbn], and adds missing
inputs with 0 weight.
@ex[
(normalize-tbn (hash 'x (tbf/state (hash 'x 2) -1)
'y (tbf/state (hash 'y 3) 1)))
]}
@defproc[(compact-tbn [tbn TBN]) TBN]{
Compacts the @racket[tbn] by removing all inputs which are 0 or which
are not variables of the network.
@ex[
(compact-tbn (hash 'a (tbf/state (hash 'a 0 'b 1 'c 3 'd 0) 0)
'b (tbf/state (hash 'a -1 'b 1) -1)))
]}
@section{Reading and printing TBNs and SBNs}
@defproc[(parse-org-tbn [tab (Listof (Listof (U Symbol Real)))]
[#:headers headers Boolean #t]
[#:func-names func-names Boolean #t])
@ -446,57 +499,6 @@ set to 0.
(read-org-sbn "((\"-\" \"x\" \"y\") (\"y\" -1 0) (\"x\" 0 -1))")
]}
@defproc[(build-tbn-state-graph [tbn TBN]) Graph]{
Builds the state graph of a @racket[TBN].
This function constructs a @racket[(Network (U Zero One))] from
@racket[tbn], then builds the state graph of its synchronous dynamics,
and pretty-prints the node labels.
@ex[
(require (only-in "utils.rkt" dotit))
(dotit (build-tbn-state-graph
(hash 'a (tbf/state (hash 'a -1 'b 1) 0)
'b (tbf/state (hash 'a -1 'b 1) 1))))
]}
@defproc[(normalized-tbn? [tbn TBN]) Boolean]{
Checks whether @racket[tbn] is normalized: whether all of the
functions have the same inputs, and whether these inputs are exactly
the variables of @racket[tbn].
@ex[
(normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 'y -1) -1)
'y (tbf/state (hash 'x -1 'y 0) -1)))
(normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 ) -1)
'y (tbf/state (hash 'y 0) -1)))
]}
@defproc[(normalize-tbn (tbn TBF)) TBN]{
Normalizes @racket[tbn]: for every @racket[TBF/State], removes the
inputs that are not in the variables of @racket[tbn], and adds missing
inputs with 0 weight.
@ex[
(normalize-tbn (hash 'x (tbf/state (hash 'x 2) -1)
'y (tbf/state (hash 'y 3) 1)))
]}
@defproc[(compact-tbn [tbn TBN]) TBN]{
Compacts the @racket[tbn] by removing all inputs which are 0 or which
are not variables of the network.
@ex[
(compact-tbn (hash 'a (tbf/state (hash 'a 0 'b 1 'c 3 'd 0) 0)
'b (tbf/state (hash 'a -1 'b 1) -1)))
]}
@section{Miscellaneous utilities}
@defproc[(group-truth-table-by-nai [tt (Listof (Listof Integer))])

164
tbn.rkt
View file

@ -47,8 +47,8 @@
group-truth-table-by-nai
TBN sbn? tbn->network
parse-org-tbn read-org-tbn read-org-sbn
build-tbn-state-graph normalized-tbn? normalize-tbn compact-tbn
parse-org-tbn read-org-tbn read-org-sbn
)
(: apply-tbf-to-state (-> TBF (State (U Zero One)) (U Zero One)))
@ -416,6 +416,87 @@
(check-equal? (network-domains tbn)
#hash((a . (0 1)) (b . (0 1))))))
(: build-tbn-state-graph (-> TBN Graph))
(define (build-tbn-state-graph tbn)
(pretty-print-state-graph
((inst build-full-state-graph (U Zero One))
((inst make-syn-dynamics (U Zero One))
(tbn->network tbn)))))
(module+ test
(test-case "build-tbn-state-graph"
(check-equal? (graphviz
(build-tbn-state-graph
(hash 'a (tbf/state (hash 'a -1 'b 1) 0)
'b (tbf/state (hash 'a -1 'b 1) 1))))
"digraph G {\n\tnode0 [label=\"a:0 b:0\"];\n\tnode1 [label=\"a:1 b:1\"];\n\tnode2 [label=\"a:0 b:1\"];\n\tnode3 [label=\"a:1 b:0\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node0 [];\n\t}\n\tsubgraph D {\n\t\tnode1 -> node0 [];\n\t\tnode2 -> node3 [];\n\t\tnode3 -> node0 [];\n\t}\n}\n")))
(: normalized-tbn? (-> TBN Boolean))
(define (normalized-tbn? tbn)
(define tbn-vars (hash-keys tbn))
(for/and ([tbf (in-list (hash-values tbn))])
(set=? tbn-vars (hash-keys (tbf/state-w tbf)))))
(module+ test
(test-case "normalized-tbn?"
(check-true (normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 'y -1) -1)
'y (tbf/state (hash 'x -1 'y 0) -1))))
(check-false (normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 ) -1)
'y (tbf/state (hash 'y 0) -1))))))
(: normalize-tbn (-> TBN TBN))
(define (normalize-tbn tbn)
(define vars-0 (for/hash : (VariableMapping Real)
([(x _) (in-hash tbn)])
(values x 0)))
(: normalize-tbf (-> TBF/State TBF/State))
(define (normalize-tbf tbf)
;; Only keep the inputs which are also the variables of tbn.
(define w-pruned (hash-intersect/tbn-tbf
tbn
(tbf/state-w tbf)
#:combine (λ (_ w) w)))
;; Put in the missing inputs with weight 0.
(define w-complete
(assert-type (hash-union vars-0 w-pruned #:combine (λ (_ w) w))
(VariableMapping Real)))
(tbf/state w-complete (tbf/state-θ tbf)))
(for/hash : TBN ([(x tbf) (in-hash tbn)])
(values x (normalize-tbf tbf))))
(module+ test
(test-case "normalize-tbn"
(check-equal? (normalize-tbn (hash 'x (tbf/state (hash 'x 2) -1)
'y (tbf/state (hash 'y 3) 1)))
(hash 'x (tbf/state (hash 'x 2 'y 0) -1)
'y (tbf/state (hash 'x 0 'y 3) 1)))))
(: compact-tbn (-> TBN TBN))
(define (compact-tbn tbn)
(: remove-0-non-var (-> TBF/State TBF/State))
(define (remove-0-non-var tbf)
(tbf/state (for/hash : (VariableMapping Real)
([(x w) (in-hash (tbf/state-w tbf))]
#:when (hash-has-key? tbn x)
#:unless (zero? w))
(values x w))
(tbf/state-θ tbf)))
(for/hash : TBN ([(x tbf) (in-hash tbn)])
(values x (remove-0-non-var tbf))))
(module+ test
(test-case "compact-tbn"
(check-equal?
(compact-tbn (hash 'a (tbf/state (hash 'a 0 'b 1 'c 3 'd 0) 0)
'b (tbf/state (hash 'a -1 'b 1) -1)))
(hash
'a
(tbf/state '#hash((b . 1)) 0)
'b
(tbf/state '#hash((a . -1) (b . 1)) -1)))))
(: parse-org-tbn (->* ((Listof (Listof (U Symbol Real))))
(#:headers Boolean
#:func-names Boolean)
@ -523,87 +604,6 @@
(tbf/state '#hash((x0 . -1) (x1 . 0)) 0)
'x1
(tbf/state '#hash((x0 . 0) (x1 . -1)) 0)))))
(: build-tbn-state-graph (-> TBN Graph))
(define (build-tbn-state-graph tbn)
(pretty-print-state-graph
((inst build-full-state-graph (U Zero One))
((inst make-syn-dynamics (U Zero One))
(tbn->network tbn)))))
(module+ test
(test-case "build-tbn-state-graph"
(check-equal? (graphviz
(build-tbn-state-graph
(hash 'a (tbf/state (hash 'a -1 'b 1) 0)
'b (tbf/state (hash 'a -1 'b 1) 1))))
"digraph G {\n\tnode0 [label=\"a:0 b:0\"];\n\tnode1 [label=\"a:1 b:1\"];\n\tnode2 [label=\"a:0 b:1\"];\n\tnode3 [label=\"a:1 b:0\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node0 [];\n\t}\n\tsubgraph D {\n\t\tnode1 -> node0 [];\n\t\tnode2 -> node3 [];\n\t\tnode3 -> node0 [];\n\t}\n}\n")))
(: normalized-tbn? (-> TBN Boolean))
(define (normalized-tbn? tbn)
(define tbn-vars (hash-keys tbn))
(for/and ([tbf (in-list (hash-values tbn))])
(set=? tbn-vars (hash-keys (tbf/state-w tbf)))))
(module+ test
(test-case "normalized-tbn?"
(check-true (normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 'y -1) -1)
'y (tbf/state (hash 'x -1 'y 0) -1))))
(check-false (normalized-tbn?
(hash 'x (tbf/state (hash 'x 0 ) -1)
'y (tbf/state (hash 'y 0) -1))))))
(: normalize-tbn (-> TBN TBN))
(define (normalize-tbn tbn)
(define vars-0 (for/hash : (VariableMapping Real)
([(x _) (in-hash tbn)])
(values x 0)))
(: normalize-tbf (-> TBF/State TBF/State))
(define (normalize-tbf tbf)
;; Only keep the inputs which are also the variables of tbn.
(define w-pruned (hash-intersect/tbn-tbf
tbn
(tbf/state-w tbf)
#:combine (λ (_ w) w)))
;; Put in the missing inputs with weight 0.
(define w-complete
(assert-type (hash-union vars-0 w-pruned #:combine (λ (_ w) w))
(VariableMapping Real)))
(tbf/state w-complete (tbf/state-θ tbf)))
(for/hash : TBN ([(x tbf) (in-hash tbn)])
(values x (normalize-tbf tbf))))
(module+ test
(test-case "normalize-tbn"
(check-equal? (normalize-tbn (hash 'x (tbf/state (hash 'x 2) -1)
'y (tbf/state (hash 'y 3) 1)))
(hash 'x (tbf/state (hash 'x 2 'y 0) -1)
'y (tbf/state (hash 'x 0 'y 3) 1)))))
(: compact-tbn (-> TBN TBN))
(define (compact-tbn tbn)
(: remove-0-non-var (-> TBF/State TBF/State))
(define (remove-0-non-var tbf)
(tbf/state (for/hash : (VariableMapping Real)
([(x w) (in-hash (tbf/state-w tbf))]
#:when (hash-has-key? tbn x)
#:unless (zero? w))
(values x w))
(tbf/state-θ tbf)))
(for/hash : TBN ([(x tbf) (in-hash tbn)])
(values x (remove-0-non-var tbf))))
(module+ test
(test-case "compact-tbn"
(check-equal?
(compact-tbn (hash 'a (tbf/state (hash 'a 0 'b 1 'c 3 'd 0) 0)
'b (tbf/state (hash 'a -1 'b 1) -1)))
(hash
'a
(tbf/state '#hash((b . 1)) 0)
'b
(tbf/state '#hash((a . -1) (b . 1)) -1)))))
)
(module+ test