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#lang debug racket
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(require "hacs.rkt" rackunit)
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(check-equal? (first-unassigned-variable ($csp (list ($var 'a (range 3)) ($var 'b (range 3))) null))
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($var 'a (range 3)))
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(check-equal? (first-unassigned-variable ($csp (list ($avar 'a (range 3)) ($var 'b (range 3))) null))
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($var 'b (range 3)))
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(check-false (first-unassigned-variable ($csp (list ($avar 'a (range 3)) ($avar 'b (range 3))) null)))
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(check-equal?
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;; no forward checking when no constraints
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($csp-vars (forward-check ($csp (list ($avar 'a '(1)) ($var 'b (range 2))) null) 'a))
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(list ($avar 'a '(1)) ($var 'b '(0 1))))
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(check-equal?
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($csp-vars (forward-check (forward-check ($csp (list ($avar 'a '(1)) ($avar 'b '(0)) ($var 'c '(0 1 2)))
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(list ($constraint '(a c) (negate =))
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($constraint '(b c) (negate =)))) 'a) 'b))
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(list ($avar 'a '(1)) ($avar 'b '(0)) ($cvar 'c '(2) '(b a))))
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(check-equal?
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;; no inconsistency: b≠c not checked when fc is relative to a
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($csp-vars (forward-check ($csp (list ($avar 'a '(1)) ($var 'b (range 2)) ($var 'c '(0)))
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(list ($constraint '(a b) (negate =))
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($constraint '(b c) (negate =)))) 'a))
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(list ($avar 'a '(1)) ($cvar 'b '(0) '(a)) ($var 'c '(0))))
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(check-equal?
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;; no inconsistency: a≠b not checked when fc ignores a, which is already assigned
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($csp-vars (forward-check ($csp (list ($avar 'a '(1)) ($avar 'b '(1)) ($var 'c (range 2)))
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(list ($constraint '(a b) (negate =))
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($constraint '(b c) (negate =)))) 'b))
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(list ($avar 'a '(1)) ($avar 'b '(1)) ($cvar 'c '(0) '(b))))
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(check-exn $backtrack?
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(λ () ($csp-vars (forward-check ($csp (list ($avar 'a '(1))
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($var 'b '(1)))
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(list ($constraint '(a b) (negate =)))) 'a))))
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(check-equal? ($csp-vars (forward-check ($csp (list ($var 'a '(0))
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($var 'b (range 3)))
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(list ($constraint '(a b) <))) 'a))
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(list ($var 'a '(0)) ($cvar 'b '(1 2) '(a))))
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(check-equal?
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(parameterize ([current-inference forward-check])
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(length (solve* ($csp (list ($var 'x (range 3))
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($var 'y (range 3))
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($var 'z (range 3)))
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(list ($constraint '(x y) <>)
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($constraint '(x z) <>)
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($constraint '(y z) <>)))))) 6)
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(parameterize ([current-inference forward-check])
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(define vds (for/list ([k '(wa nt nsw q t v sa)])
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($var k '(red green blue))))
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(define cs (list
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($constraint '(wa nt) neq?)
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($constraint '(wa sa) neq?)
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($constraint '(nt sa) neq?)
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($constraint '(nt q) neq?)
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($constraint '(q sa) neq?)
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($constraint '(q nsw) neq?)
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($constraint '(nsw sa) neq?)
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($constraint '(nsw v) neq?)
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($constraint '(v sa) neq?)))
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(define csp ($csp vds cs))
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(check-equal? (length (solve* csp)) 18))
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(define quarters (make-csp))
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(add-vars! quarters '(dollars quarters) (range 26))
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(add-constraint! quarters (λ (d q) (= 26 (+ d q))) '(dollars quarters))
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(add-constraint! quarters (λ (d q) (= 17 (+ d (* 0.25 q)))) '(dollars quarters))
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(check-equal? (time (solve quarters))
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'((dollars . 14) (quarters . 12)))
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#;(check-equal? (length (time (solve* xsum))) 8)
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