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rose-ash/lib/minikanren/tests/clpfd-ord.sx
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mk: phase 6E — fd-lt + fd-lte + fd-eq with propagation
Three more constraint goals built on the same propagator-store
machinery as fd-neq:

fd-lt: x < y. Ground/ground compares; var/num filters domain;
var/var narrows x's domain to (< y-max) and y's to (> x-min).

fd-lte: ≤ variant.

fd-eq: x = y. Ground/ground checks. Var/num: requires num to be in
var's domain (or var unconstrained) before binding. Var/var: intersect
domains, narrow both, then unify the vars.

10 new tests: narrowing against ground, ordered-pair generation,
chained x<y<z determinism, domain-sharing, out-of-domain rejection.
603/603 cumulative (100/100 across the four CLP(FD) test files).
2026-05-08 14:34:10 +00:00

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;; lib/minikanren/tests/clpfd-ord.sx — fd-lt / fd-lte / fd-eq.
;; --- fd-lt ---
(mk-test
"fd-lt-narrows-x-against-num"
(run*
q
(fresh
(x)
(fd-in x (list 1 2 3 4 5))
(fd-lt x 3)
(fd-label (list x))
(== q x)))
(list 1 2))
(mk-test
"fd-lt-narrows-x-against-num-symmetric"
(run*
q
(fresh
(x)
(fd-in x (list 1 2 3 4 5))
(fd-lt 3 x)
(fd-label (list x))
(== q x)))
(list 4 5))
(mk-test
"fd-lt-pair-ordered"
(let
((res (run* q (fresh (x y) (fd-in x (list 1 2 3 4)) (fd-in y (list 1 2 3 4)) (fd-lt x y) (fd-label (list x y)) (== q (list x y))))))
(= (len res) 6))
true)
(mk-test
"fd-lt-impossible-fails"
(run*
q
(fresh
(x)
(fd-in x (list 5 6 7))
(fd-lt x 3)
(fd-label (list x))
(== q x)))
(list))
;; --- fd-lte ---
(mk-test
"fd-lte-includes-equal"
(run*
q
(fresh
(x)
(fd-in x (list 1 2 3 4 5))
(fd-lte x 3)
(fd-label (list x))
(== q x)))
(list 1 2 3))
(mk-test
"fd-lte-equal-bound"
(run*
q
(fresh
(x)
(fd-in x (list 1 2 3 4 5))
(fd-lte 3 x)
(fd-label (list x))
(== q x)))
(list 3 4 5))
;; --- fd-eq ---
(mk-test
"fd-eq-bind"
(run*
q
(fresh
(x)
(fd-in x (list 1 2 3 4 5))
(fd-eq x 3)
(== q x)))
(list 3))
(mk-test
"fd-eq-out-of-domain-fails"
(run*
q
(fresh
(x)
(fd-in x (list 1 2 3))
(fd-eq x 5)
(== q x)))
(list))
(mk-test
"fd-eq-two-vars-share-domain"
(run*
q
(fresh
(x y)
(fd-in x (list 1 2 3))
(fd-in y (list 2 3 4))
(fd-eq x y)
(fd-label (list x y))
(== q (list x y))))
(list (list 2 2) (list 3 3)))
;; --- combine fd-lt + fd-neq for "between" puzzle ---
(mk-test
"fd-lt-neq-combined"
(run*
q
(fresh
(x y z)
(fd-in x (list 1 2 3))
(fd-in y (list 1 2 3))
(fd-in z (list 1 2 3))
(fd-lt x y)
(fd-lt y z)
(fd-label (list x y z))
(== q (list x y z))))
(list (list 1 2 3)))
(mk-tests-run!)