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inserto a l p: p is l with a inserted at some position. Recursive: head of l first, then push past head and recurse. permuteo l p: classical recursive permutation. Empty -> empty; otherwise take a head off l, recursively permute the tail, insert head at any position in the recursive result. 7 new tests including all-6-perms-of-3 as a set check (independent of generation order). 208/208 cumulative.
292 lines
5.4 KiB
Plaintext
292 lines
5.4 KiB
Plaintext
;; lib/minikanren/tests/relations.sx — Phase 4 standard relations.
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;;
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;; Includes the classic miniKanren canaries: appendo forwards / backwards /
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;; bidirectionally, membero, listo enumeration.
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;; --- nullo / pairo ---
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(mk-test
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"nullo-empty-succeeds"
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(run* q (nullo (list)))
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(list (make-symbol "_.0")))
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(mk-test "nullo-non-empty-fails" (run* q (nullo (list 1))) (list))
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(mk-test
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"pairo-non-empty-succeeds"
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(run* q (pairo (list 1 2)))
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(list (make-symbol "_.0")))
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(mk-test "pairo-empty-fails" (run* q (pairo (list))) (list))
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;; --- caro / cdro / firsto / resto ---
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(mk-test
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"caro-extracts-head"
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(run* q (caro (list 1 2 3) q))
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(list 1))
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(mk-test
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"cdro-extracts-tail"
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(run* q (cdro (list 1 2 3) q))
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(list (list 2 3)))
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(mk-test
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"firsto-alias-of-caro"
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(run* q (firsto (list 10 20) q))
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(list 10))
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(mk-test
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"resto-alias-of-cdro"
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(run* q (resto (list 10 20) q))
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(list (list 20)))
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(mk-test
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"caro-cdro-build"
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(run*
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q
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(fresh
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(h t)
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(caro (list 1 2 3) h)
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(cdro (list 1 2 3) t)
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(== q (list h t))))
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(list (list 1 (list 2 3))))
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;; --- conso ---
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(mk-test
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"conso-forward"
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(run* q (conso 0 (list 1 2 3) q))
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(list (list 0 1 2 3)))
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(mk-test
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"conso-extract-head"
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(run*
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q
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(conso
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q
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(list 2 3)
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(list 1 2 3)))
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(list 1))
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(mk-test
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"conso-extract-tail"
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(run* q (conso 1 q (list 1 2 3)))
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(list (list 2 3)))
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;; --- listo ---
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(mk-test
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"listo-empty-succeeds"
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(run* q (listo (list)))
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(list (make-symbol "_.0")))
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(mk-test
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"listo-finite-list-succeeds"
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(run* q (listo (list 1 2 3)))
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(list (make-symbol "_.0")))
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(mk-test
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"listo-enumerates-shapes"
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(run 3 q (listo q))
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(list
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(list)
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(list (make-symbol "_.0"))
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(list (make-symbol "_.0") (make-symbol "_.1"))))
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;; --- appendo: the canary ---
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(mk-test
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"appendo-forward-simple"
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(run*
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q
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(appendo (list 1 2) (list 3 4) q))
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(list (list 1 2 3 4)))
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(mk-test
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"appendo-forward-empty-l"
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(run* q (appendo (list) (list 3 4) q))
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(list (list 3 4)))
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(mk-test
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"appendo-forward-empty-s"
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(run* q (appendo (list 1 2) (list) q))
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(list (list 1 2)))
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(mk-test
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"appendo-recovers-tail"
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(run*
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q
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(appendo
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(list 1 2)
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q
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(list 1 2 3 4)))
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(list (list 3 4)))
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(mk-test
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"appendo-recovers-prefix"
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(run*
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q
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(appendo
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q
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(list 3 4)
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(list 1 2 3 4)))
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(list (list 1 2)))
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(mk-test
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"appendo-backward-all-splits"
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(run*
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q
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(fresh
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(l s)
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(appendo l s (list 1 2 3))
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(== q (list l s))))
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(list
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(list (list) (list 1 2 3))
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(list (list 1) (list 2 3))
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(list (list 1 2) (list 3))
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(list (list 1 2 3) (list))))
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(mk-test
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"appendo-empty-empty-empty"
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(run* q (appendo (list) (list) q))
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(list (list)))
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;; --- membero ---
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(mk-test
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"membero-element-present"
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(run
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1
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q
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(membero 2 (list 1 2 3)))
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(list (make-symbol "_.0")))
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(mk-test
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"membero-element-absent-empty"
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(run* q (membero 99 (list 1 2 3)))
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(list))
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(mk-test
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"membero-enumerates"
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(run* q (membero q (list "a" "b" "c")))
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(list "a" "b" "c"))
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;; --- reverseo ---
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(mk-test
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"reverseo-forward"
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(run* q (reverseo (list 1 2 3) q))
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(list (list 3 2 1)))
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(mk-test "reverseo-empty" (run* q (reverseo (list) q)) (list (list)))
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(mk-test
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"reverseo-singleton"
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(run* q (reverseo (list 42) q))
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(list (list 42)))
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(mk-test
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"reverseo-five"
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(run*
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q
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(reverseo (list 1 2 3 4 5) q))
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(list (list 5 4 3 2 1)))
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(mk-test
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"reverseo-backward-one"
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(run 1 q (reverseo q (list 1 2 3)))
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(list (list 3 2 1)))
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(mk-test
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"reverseo-round-trip"
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(run*
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q
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(fresh (mid) (reverseo (list "a" "b" "c") mid) (reverseo mid q)))
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(list (list "a" "b" "c")))
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;; --- lengtho (Peano-style) ---
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(mk-test "lengtho-empty-is-z" (run* q (lengtho (list) q)) (list :z))
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(mk-test
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"lengtho-of-3"
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(run* q (lengtho (list "a" "b" "c") q))
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(list (list :s (list :s (list :s :z)))))
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(mk-test
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"lengtho-empty-from-zero"
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(run 1 q (lengtho q :z))
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(list (list)))
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(mk-test
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"lengtho-enumerates-of-length-2"
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(run 1 q (lengtho q (list :s (list :s :z))))
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(list (list (make-symbol "_.0") (make-symbol "_.1"))))
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;; --- inserto ---
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(mk-test
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"inserto-front"
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(run* q (inserto 0 (list 1 2 3) q))
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(list
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(list 0 1 2 3)
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(list 1 0 2 3)
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(list 1 2 0 3)
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(list 1 2 3 0)))
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(mk-test
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"inserto-empty"
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(run* q (inserto 0 (list) q))
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(list (list 0)))
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;; --- permuteo ---
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(mk-test "permuteo-empty" (run* q (permuteo (list) q)) (list (list)))
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(mk-test
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"permuteo-singleton"
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(run* q (permuteo (list 42) q))
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(list (list 42)))
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(mk-test
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"permuteo-two"
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(run* q (permuteo (list 1 2) q))
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(list (list 1 2) (list 2 1)))
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(mk-test
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"permuteo-three-as-set"
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(let
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((perms (run* q (permuteo (list 1 2 3) q))))
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(and
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(= (len perms) 6)
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(and
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(some (fn (p) (= p (list 1 2 3))) perms)
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(and
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(some
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(fn (p) (= p (list 2 1 3)))
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perms)
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(and
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(some
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(fn (p) (= p (list 1 3 2)))
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perms)
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(and
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(some
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(fn (p) (= p (list 2 3 1)))
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perms)
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(and
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(some
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(fn (p) (= p (list 3 1 2)))
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perms)
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(some
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(fn (p) (= p (list 3 2 1)))
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perms))))))))
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true)
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(mk-test
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"permuteo-backward-finds-input"
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(run 1 q (permuteo q (list "a" "b" "c")))
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(list (list "a" "b" "c")))
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(mk-tests-run!)
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