Set consolidation: Difference between revisions

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3:{D A B C}
3:{D A B C}
4:{H I F G K} {D A B C}</pre>
4:{H I F G K} {D A B C}</pre>

=={{header|TXR}}==

Using most basic disjoint-set algorithm (no rank join or path compression).

<lang txr>@(do
(defun mkset (p x) (if (not [p x]) (set [p x] x)))

(defun fnd (p x) (if (eq [p x] x) x (fnd p [p x])))

(defun uni (p x y)
(let ((xr (fnd p x)) (yr (fnd p y)))
(set [p xr] yr)))

(defun consoli (sets)
(let ((p (hash)))
(each ((s sets))
(each ((e s))
(mkset p e)
(uni p e (car s))))
(hash-values
[group-by (op fnd p) (hash-keys
[group-by identity (flatten sets)])])))

;; tests

(each ((test '(((a b) (c d))
((a b) (b d))
((a b) (c d) (d b))
((h i k) (a b) (c d) (d b) (f g h)))))
(format t "~s -> ~s\n" test (consoli test))))</lang>

Output:

<pre>((a b) (c d)) -> ((d c) (b a))
((a b) (b d)) -> ((d b a))
((a b) (c d) (d b)) -> ((d c b a))
((h i k) (a b) (c d) (d b) (f g h)) -> ((d c b a) (g f k i h))</pre>