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cli: add administrator election
[majurity.git] / hjugement / tests / QuickCheck / Rank.hs
1 {-# LANGUAGE TypeApplications #-}
2 module QuickCheck.Rank where
3 import Data.Bool
4
5 import Data.Eq (Eq(..))
6 import Data.Function (($))
7 import Data.Functor ((<$>))
8 import Data.Ratio (numerator)
9 import Prelude (Enum(..), (*), fromIntegral)
10 import Test.Tasty
11 import Test.Tasty.QuickCheck
12 import qualified Data.List as List
13
14 import Majority.Merit
15 import Majority.Value
16 import Majority.Rank
17 import Types
18 import QuickCheck.Value ()
19
20 quickcheck :: TestTree
21 quickcheck =
22 testGroup "Rank"
23 [ testGroup "majorityValueOfRank . rankOfMajorityValue == id"
24 [ testProperty "SchoolGrade" $ testMVRankMV @SchoolGrade
25 , testProperty "DanishSchoolGrade" $ testMVRankMV @DanishSchoolGrade
26 ]
27 ]
28
29 testMVRankMV :: forall g. Enum g => MajorityValue g -> Bool
30 testMVRankMV mv =
31 let gs = fromIntegral $ List.length (enumFrom (toEnum 0) :: [g]) in
32 let js = numerator $ (2 *) $ List.sum $ middleShare <$> unMajorityValue mv in
33 majorityValueOfRank js gs (rankOfMajorityValue gs mv') == mv'
34 where
35 ranked a = Ranked (fromIntegral (fromEnum a), ())
36 mv' = MajorityValue $
37 (<$> unMajorityValue mv) $ \(Middle s l h) ->
38 Middle s (ranked l) (ranked h)