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rose-ash/lib/minikanren/tests/clpfd-distinct.sx
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mk: phase 6F — fd-distinct (pairwise alldifferent)
(fd-distinct (list a b c ...)) imposes pairwise distinctness via O(n²)
fd-neq constraints. Each fd-neq propagates independently when any pair
becomes ground or has a domain-removable value.

Tests: empty/singleton trivially succeed; pair-distinct/equal cover
correctness; 3-perms-of-3 = 6 and 4-perms-of-4 = 24 confirm full
permutation enumeration; pigeonhole 4-of-3 fails.

7 new tests, 610/610 cumulative.
2026-05-08 14:35:19 +00:00

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;; lib/minikanren/tests/clpfd-distinct.sx — fd-distinct (alldifferent).
(mk-test
"fd-distinct-empty"
(run* q (fd-distinct (list)))
(list (make-symbol "_.0")))
(mk-test
"fd-distinct-singleton"
(run* q (fd-distinct (list 5)))
(list (make-symbol "_.0")))
(mk-test
"fd-distinct-pair-distinct"
(run* q (fd-distinct (list 1 2)))
(list (make-symbol "_.0")))
(mk-test
"fd-distinct-pair-equal-fails"
(run* q (fd-distinct (list 5 5)))
(list))
(mk-test
"fd-distinct-3-perms-of-3"
(let
((res (run* q (fresh (a b c) (fd-in a (list 1 2 3)) (fd-in b (list 1 2 3)) (fd-in c (list 1 2 3)) (fd-distinct (list a b c)) (fd-label (list a b c)) (== q (list a b c))))))
(= (len res) 6))
true)
(mk-test
"fd-distinct-4-perms-of-4-count"
(let
((res (run* q (fresh (a b c d) (fd-in a (list 1 2 3 4)) (fd-in b (list 1 2 3 4)) (fd-in c (list 1 2 3 4)) (fd-in d (list 1 2 3 4)) (fd-distinct (list a b c d)) (fd-label (list a b c d)) (== q (list a b c d))))))
(= (len res) 24))
true)
(mk-test
"fd-distinct-pigeonhole-fails"
(run*
q
(fresh
(a b c d)
(fd-in a (list 1 2 3))
(fd-in b (list 1 2 3))
(fd-in c (list 1 2 3))
(fd-in d (list 1 2 3))
(fd-distinct (list a b c d))
(fd-label (list a b c d))
(== q (list a b c d))))
(list))
(mk-tests-run!)