giles
54a58c704e
Some checks failed
Test, Build, and Deploy / test-build-deploy (push) Failing after 24s
eveno: zero, or (s (s m)) when m is even. oddo: one, or (s (s m)) when m is odd. Both run forward (predicate test on a Peano number) and backward (enumerate even / odd numbers). The two are mutually exclusive — no number satisfies both. 12 new tests, 359/359 cumulative.
59 lines
1.2 KiB
Plaintext
59 lines
1.2 KiB
Plaintext
;; lib/minikanren/tests/parity.sx — eveno + oddo Peano predicates.
|
|
|
|
(define
|
|
mk-nat
|
|
(fn (n) (if (= n 0) :z (list :s (mk-nat (- n 1))))))
|
|
|
|
(mk-test "eveno-zero" (run* q (eveno :z)) (list (make-symbol "_.0")))
|
|
(mk-test
|
|
"eveno-2"
|
|
(run* q (eveno (mk-nat 2)))
|
|
(list (make-symbol "_.0")))
|
|
(mk-test
|
|
"eveno-4"
|
|
(run* q (eveno (mk-nat 4)))
|
|
(list (make-symbol "_.0")))
|
|
(mk-test "eveno-1-fails" (run* q (eveno (mk-nat 1))) (list))
|
|
(mk-test "eveno-3-fails" (run* q (eveno (mk-nat 3))) (list))
|
|
|
|
(mk-test
|
|
"oddo-1"
|
|
(run* q (oddo (mk-nat 1)))
|
|
(list (make-symbol "_.0")))
|
|
(mk-test
|
|
"oddo-3"
|
|
(run* q (oddo (mk-nat 3)))
|
|
(list (make-symbol "_.0")))
|
|
(mk-test "oddo-zero-fails" (run* q (oddo :z)) (list))
|
|
(mk-test "oddo-2-fails" (run* q (oddo (mk-nat 2))) (list))
|
|
|
|
;; Enumerate small evens.
|
|
(mk-test
|
|
"eveno-enumerates"
|
|
(run 4 q (eveno q))
|
|
(list
|
|
(mk-nat 0)
|
|
(mk-nat 2)
|
|
(mk-nat 4)
|
|
(mk-nat 6)))
|
|
|
|
;; Enumerate small odds.
|
|
(mk-test
|
|
"oddo-enumerates"
|
|
(run 4 q (oddo q))
|
|
(list
|
|
(mk-nat 1)
|
|
(mk-nat 3)
|
|
(mk-nat 5)
|
|
(mk-nat 7)))
|
|
|
|
;; A number is even XOR odd (no overlap).
|
|
(mk-test
|
|
"even-odd-no-overlap"
|
|
(run*
|
|
q
|
|
(mk-conj (eveno (mk-nat 4)) (oddo (mk-nat 4))))
|
|
(list))
|
|
|
|
(mk-tests-run!)
|