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Defines latin-2x2 over 4 cells and 4 all-distincto constraints. Enumerates exactly 2 squares ((1 2)(2 1)) and ((2 1)(1 2)); a corner clue narrows to one. 3 new tests, 269/269 cumulative. 3x3 (12 squares, the natural showcase) is too slow under naive enumerate- then-filter — that is the motivating test for Phase 6 arc-consistency.
62 lines
1.4 KiB
Plaintext
62 lines
1.4 KiB
Plaintext
;; lib/minikanren/tests/latin.sx — 2x2 Latin square via ino + all-distincto.
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;;
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;; A 2x2 Latin square has 2 distinct fillings:
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;; ((1 2) (2 1)) and ((2 1) (1 2)).
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;; The 3x3 version has 12 fillings but takes minutes under naive search;
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;; full CLP(FD) (Phase 6 proper) would handle it in milliseconds.
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(define
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latin-2x2
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(fn
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(cells)
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(let
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((c11 (nth cells 0))
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(c12 (nth cells 1))
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(c21 (nth cells 2))
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(c22 (nth cells 3))
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(dom (list 1 2)))
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(mk-conj
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(ino c11 dom)
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(ino c12 dom)
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(ino c21 dom)
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(ino c22 dom)
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(all-distincto (list c11 c12))
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(all-distincto (list c21 c22))
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(all-distincto (list c11 c21))
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(all-distincto (list c12 c22)))))) ;; col 2
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(mk-test
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"latin-2x2-count"
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(let
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((squares (run* q (fresh (a b c d) (== q (list a b c d)) (latin-2x2 (list a b c d))))))
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(len squares))
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2)
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(mk-test
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"latin-2x2-as-set"
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(let
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((squares (run* q (fresh (a b c d) (== q (list a b c d)) (latin-2x2 (list a b c d))))))
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(and
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(= (len squares) 2)
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(and
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(some
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(fn (s) (= s (list 1 2 2 1)))
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squares)
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(some
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(fn (s) (= s (list 2 1 1 2)))
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squares))))
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true)
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(mk-test
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"latin-2x2-with-clue"
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(run*
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q
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(fresh
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(a b c d)
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(== a 1)
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(== q (list a b c d))
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(latin-2x2 (list a b c d))))
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(list (list 1 2 2 1)))
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(mk-tests-run!)
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