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50 lines
2 KiB
Haskell
50 lines
2 KiB
Haskell
module SpecSet (setTests) where
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import Test.Tasty
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import Test.Tasty.HUnit hiding (assert)
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import Prelude (id, not, ($))
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import EquivariantSet
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import Support (Rat (..))
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import SpecUtils
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setTests :: TestTree
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setTests = testGroup "Set" [unitTests]
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unitTests :: TestTree
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unitTests = testCase "Examples" $ do
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let
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p = Rat 1
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q = Rat 2
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s = product (singleOrbit (p, q)) (singleOrbit (q, p))
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assert id $ member ((Rat 1, Rat 2), (Rat 5, Rat 4)) s
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assert not $ member ((Rat 5, Rat 2), (Rat 5, Rat 4)) s
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assert id $ member ((Rat 1, Rat 2), (Rat 2, Rat 1)) s
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assert id $ member ((Rat 3, Rat 4), (Rat 2, Rat 1)) s
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let s2 = product s s
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assert id $ member (((Rat 1, Rat 2), (Rat 5, Rat 4)), ((Rat 1, Rat 2), (Rat 5, Rat 4))) s2
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assert id $ member (((Rat 1, Rat 2), (Rat 5, Rat 4)), ((Rat 1, Rat 2), (Rat 5, Rat 1))) s2
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assert id $ member (((Rat 1, Rat 2), (Rat 5, Rat 4)), ((Rat 1, Rat 200), (Rat 5, Rat 1))) s2
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assert id $ member (((Rat 0, Rat 27), (Rat 5, Rat 4)), ((Rat 1, Rat 200), (Rat 5, Rat 1))) s2
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assert not $ member (((Rat 0, Rat 27), (Rat 5, Rat 4)), ((Rat 1, Rat 200), (Rat 5, Rat 5))) s2
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let s3 = map (\((a, b), (c, d)) -> ((b, a), (d, c))) s2
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assert id $ member (((Rat 5, Rat 4), (Rat 1, Rat 2)), ((Rat 5, Rat 4), (Rat 1, Rat 2))) s3
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assert id $ member (((Rat 2, Rat 1), (Rat 4, Rat 5)), ((Rat 2, Rat 1), (Rat 4, Rat 5))) s3
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let
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r = Rat 3
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s4 = singleOrbit ((p, p), p) `union` singleOrbit ((p, p), q) `union` singleOrbit ((p, q), r)
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s5 = singleOrbit (p, q) `union` singleOrbit (q, r) `union` singleOrbit (r, p)
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assert id $ s5 `isSubsetOf` product (singleOrbit p) (singleOrbit p)
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assert not $ product (singleOrbit p) (singleOrbit p) `isSubsetOf` s5
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let s6 = product s4 s5
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assert id $ member (((Rat 1, Rat 1), Rat 1), (Rat 1, Rat 2)) s6
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assert id $ member (((Rat 37, Rat 37), Rat 42), (Rat 1, Rat 2)) s6
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assert not $ member (((Rat 37, Rat 31), Rat 42), (Rat 1, Rat 2)) s6
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assert id $ member (((Rat 1, Rat 2), Rat 3), (Rat 5, Rat 4)) s6
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