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authorLoic GUEGAN <loic.guegan@yahoo.fr>2019-01-31 15:31:37 +0100
committerLoic GUEGAN <loic.guegan@yahoo.fr>2019-01-31 15:31:37 +0100
commitd0f6e2ff9cdf4c35e99b54fa765aca7f46ed6a24 (patch)
tree7e48a591715e18f3a74324030cb3963c4421cc49 /src/quick-union.lisp
parent0038d9bd0318c1025b8edd005f3aaa609a308a57 (diff)
Clean project
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-;;;; Quick Union Algorithm
-;;;; This algorithm solve dynamic connectivity
-;;;; problem by providing a way to find if there
-;;;; is a path between two nodes in a dynamic graph.
-;;;; It is an improved version of the Quick Find algorithm
-;;;; It optimize the union function
-
-
-;;; Base functions
-
-(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))
-
-(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)))
-
-(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))
-
-
-;;; Macro definitions
-
-(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)))
-
-(defmacro nunion_ (network n1 n2)
- "A destructive version of union_"
- `(setf ,network (union_ ,network ,n1 ,n2)))
-