Add matrix->matrix-graph and matrix->graph->graph.

graph.rkt

@@ -32,6 +32,7 @@
            weighted-graph? weighted-graph/undirected weighted-graph/directed
            undirected-graph directed-graph
            (rename-out [g:matrix-graph? matrix-graph?])
+           matrix->matrix-graph matrix-graph->graph
 
            bfs bfs/generalized fewest-vertices-path
            dfs dfs/generalized
@@ -120,6 +121,9 @@
     (graph (g:directed-graph es ws)))
 
   ;; 2.3 Matrix Graphs
+  (define (matrix->matrix-graph mtx)
+    (g:matrix->matrix-graph mtx))
+  (define matrix-graph->graph graph)
 
   ;; 4 Basic Graph Functions
   ;; 4.1 Breadth-first Search
@@ -240,6 +244,7 @@
   (define (graphviz g #:output [output #f] #:colors [colors #f])
     (g:graphviz (gg g) #:output output #:colors colors)))
 
+(require (only-in math/matrix Matrix))
 
 (require/typed/provide 'graph-wrapper
   [#:opaque Graph graph?]
@@ -282,6 +287,8 @@
   [directed-graph (->* ((Listof (List Any Any))) ((Listof Any)) Graph)]
 
   ;; 2.3 Matrix Graphs
+  [matrix->matrix-graph (-> (Matrix Any) Matrix-Graph)]
+  [matrix-graph->graph (-> Matrix-Graph Graph)]
 
   ;; 4 Basic Graph Functions
   ;; 4.1 Breadth-first Search
@@ -370,6 +377,7 @@
   ;; functions can be invoked without errors.  The tests do not check
   ;; whether the results make sense.
   (require typed/rackunit)
+  (require (only-in math/matrix matrix))
 
   ;; TODO: Submit an update to hash->list in Racket and then remove
   ;; this function.
@@ -431,7 +439,10 @@
                   "digraph G {\n\tnode0 [label=\"c\"];\n\tnode1 [label=\"a\"];\n\tnode2 [label=\"b\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t}\n\tsubgraph D {\n\t\tnode1 -> node2 [label=\"1\"];\n\t\tnode2 -> node0 [label=\"hello\"];\n\t}\n}\n")
 
     ;; 2.3 Matrix Graphs
-    (check-false (matrix-graph? (directed-graph '((a b) (b c))))))
+    (check-false (matrix-graph? (directed-graph '((a b) (b c)))))
+    (define mg (matrix->matrix-graph (matrix [[1 2] [3 #f]])))
+    (check-true (matrix-graph? mg))
+    (check-true (has-vertex? (matrix-graph->graph mg) 1)))
 
   (test-case "4 Basic Graph Functions"
     ;; 4.1 Breadth-first Search