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Add functions from Section 2 Graph Constructors.

master
Sergiu Ivanov 2021-05-10 16:18:15 +02:00
parent d3a490ecfc
commit 89612a501c
1 changed files with 71 additions and 4 deletions
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75
graph.rkt
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@ -20,13 +20,17 @@
(module graph-wrapper racket
(require (prefix-in g: graph))
(provide graph? has-vertex? has-edge? vertex=? add-vertex! remove-vertex!
(provide (struct-out graph) has-vertex? has-edge? vertex=? add-vertex! remove-vertex!
rename-vertex! add-edge! add-directed-edge! remove-edge!
remove-directed-edge! get-vertices in-vertices get-neighbors
in-neighbors get-edges in-edges edge-weight transpose graph-copy
graph-union!
directed-graph
unweighted-graph? unweighted-graph/undirected
unweighted-graph/directed unweighted-graph/adj
weighted-graph? weighted-graph/undirected weighted-graph/directed
undirected-graph directed-graph
matrix-graph?
graphviz)
@ -78,10 +82,32 @@
(g:graph-union! (gg g) (gg other)))
;; 2 Graph constructors
;; 2.2 Weighted graphs
;; 2.1 Unweighted Graphs
(define (unweighted-graph? g)
(g:unweighted-graph? (gg g)))
(define (unweighted-graph/undirected edges)
(graph (g:unweighted-graph/undirected edges)))
(define (unweighted-graph/directed edges)
(graph (g:unweighted-graph/directed edges)))
(define (unweighted-graph/adj edges)
(graph (g:unweighted-graph/adj edges)))
;; 2.2 Weighted Graphs
(define (weighted-graph? g)
(g:weighted-graph? (gg g)))
(define (weighted-graph/undirected edges)
(graph (g:weighted-graph/undirected edges)))
(define (weighted-graph/directed edges)
(graph (g:weighted-graph/directed edges)))
(define (undirected-graph es [ws #f])
(graph (g:undirected-graph es ws)))
(define (directed-graph es [ws #f])
(graph (g:directed-graph es ws)))
;; 2.3 Matrix Graphs
(define (matrix-graph? g)
(g:matrix-graph? (gg g)))
;; 10 Graphviz
(define (graphviz g #:output [output #f] #:colors [colors #f])
(g:graphviz (gg g) #:output output #:colors colors)))
@ -113,9 +139,22 @@
[graph-union! (-> Graph Graph Void)]
;; 2 Graph constructors
;; 2.2 Weighted graphs
;; 2.1 Unweighted Graphs
[unweighted-graph? (-> Graph Boolean)]
[unweighted-graph/undirected (-> (Listof (List Any Any)) Graph)]
[unweighted-graph/directed (-> (Listof (List Any Any)) Graph)]
[unweighted-graph/adj (-> (Listof (Listof Any)) Graph)]
;; 2.2 Weighted Graphs
[weighted-graph? (-> Graph Boolean)]
[weighted-graph/undirected (-> (Listof (List Any Any Any)) Graph)]
[weighted-graph/directed (-> (Listof (List Any Any Any)) Graph)]
[undirected-graph (->* ((Listof (List Any Any))) ((Listof Any)) Graph)]
[directed-graph (->* ((Listof (List Any Any))) ((Listof Any)) Graph)]
;; 2.3 Matrix Graphs
[matrix-graph? (-> Graph Boolean)]
;; 10 Graphviz
[graphviz (->* (Graph)
(#:output Output-Port
@ -157,6 +196,34 @@
"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\tnode2 -> node0;\n\t}\n}\n")
(graph-union! g (transpose g)))
(test-case "2 Graph Constructors"
;; 2.1 Unweighted Graphs
(check-true (unweighted-graph? (directed-graph '((a b) (b c)))))
(check-equal? (graphviz (unweighted-graph/undirected '((a b) (b c))))
"digraph G {\n\tnode0 [label=\"c\"];\n\tnode1 [label=\"a\"];\n\tnode2 [label=\"b\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node2;\n\t\tnode1 -> node2;\n\t}\n\tsubgraph D {\n\t}\n}\n")
(check-equal? (graphviz (unweighted-graph/directed '((a b) (b c))))
"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;\n\t\tnode2 -> node0;\n\t}\n}\n")
(check-equal? (graphviz (unweighted-graph/adj '((a b c) (b c d))))
"digraph G {\n\tnode0 [label=\"c\"];\n\tnode1 [label=\"a\"];\n\tnode2 [label=\"d\"];\n\tnode3 [label=\"b\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t}\n\tsubgraph D {\n\t\tnode1 -> node0;\n\t\tnode1 -> node3;\n\t\tnode3 -> node0;\n\t\tnode3 -> node2;\n\t}\n}\n")
;; 2.2 Weighted Graphs
(check-false (weighted-graph? (directed-graph '((a b) (b c)))))
(check-equal? (graphviz (weighted-graph/undirected '((10 a b) (20 b c))))
"digraph G {\n\tnode0 [label=\"c\"];\n\tnode1 [label=\"a\"];\n\tnode2 [label=\"b\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node2 [label=\"20\"];\n\t\tnode1 -> node2 [label=\"10\"];\n\t}\n\tsubgraph D {\n\t}\n}\n")
(check-equal? (graphviz (weighted-graph/directed '((10 a b) (20 b c))))
"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=\"10\"];\n\t\tnode2 -> node0 [label=\"20\"];\n\t}\n}\n")
(check-equal? (graphviz (undirected-graph '((a b) (b c))))
"digraph G {\n\tnode0 [label=\"c\"];\n\tnode1 [label=\"a\"];\n\tnode2 [label=\"b\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node2;\n\t\tnode1 -> node2;\n\t}\n\tsubgraph D {\n\t}\n}\n")
(check-equal? (graphviz (undirected-graph '((a b) (b c)) '(1 "hello")))
"digraph G {\n\tnode0 [label=\"c\"];\n\tnode1 [label=\"a\"];\n\tnode2 [label=\"b\"];\n\tsubgraph U {\n\t\tedge [dir=none];\n\t\tnode0 -> node2 [label=\"hello\"];\n\t\tnode1 -> node2 [label=\"1\"];\n\t}\n\tsubgraph D {\n\t}\n}\n")
(check-equal? (graphviz (directed-graph '((a b) (b c))))
"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;\n\t\tnode2 -> node0;\n\t}\n}\n")
(check-equal? (graphviz (directed-graph '((a b) (b c)) '(1 "hello")))
"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))))))
(test-case "10 Graphviz"
(define g (directed-graph '((a b) (b c))))
(check-equal? (graphviz g)