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Diffstat (limited to 'src/quick-union.lisp')
| -rw-r--r-- | src/quick-union.lisp | 33 |
1 files changed, 33 insertions, 0 deletions
diff --git a/src/quick-union.lisp b/src/quick-union.lisp new file mode 100644 index 0000000..ca61703 --- /dev/null +++ b/src/quick-union.lisp @@ -0,0 +1,33 @@ +;; Create network nodes +(defun create-network (n) + "Build a quick-find network using a dynamic vector" + (let ((nodes (make-array n :fill-pointer 0))) + (dotimes (id n) + (vector-push id nodes)) + nodes)) + +;; Find the root of a node +(defun find-root (network node) + "Find the root of a sub-tree in the network." + (do ((id node value) + (value (elt network node) (elt network value))) + ((= id value) id))) + +;; Check if two nodes are connected +(defmacro connected (network n1 n2) + "Return true if n1 and n2 are connected and nil otherwise. connection represent +the find operation on the Quick Union algorithm" + `(= (find-root ,network ,n1) (find-root ,network ,n2))) + +;; Link two nodes together +(defun union_ (network n1 n2) + "Connect to sub-tree together. union represent the union operation on the Quick Union algorithm" + (let ((new-network (copy-seq network))) + (setf (elt new-network (find-root new-network n1)) + (find-root new-network n2)) + new-network)) + +;; A consed version of union_ +(defmacro nunion_ (network n1 n2) + `(setf ,network (union_ ,network ,n1 ,n2))) + |
