import Trivial
import Identity
import Two
import Test.QuickCheck
import Bool
import Or
import Combine
import Data.Semigroup
import Comp
import Validation

semigroupAssoc :: (Eq m, Semigroup m) => m -> m -> m -> Bool
semigroupAssoc a b c = (a <> (b <> c)) == ((a <> b) <> c)

type TrivAssoc =
    Trivial -> Trivial -> Trivial -> Bool

type TwoType = Two Trivial Trivial
type ThreeType = Three Trivial Trivial Trivial
type FourType = Four Trivial Trivial Trivial Trivial

type CombineType = Combine Int (Sum Int)
semigroupCombineAssoc :: CombineType -> CombineType -> CombineType -> Bool
semigroupCombineAssoc a b c =
    ((unCombine (a <> (b <> c))) 8) == ((unCombine ((a <> b) <> c)) 8)

semigroupCompAssoc :: Comp (Sum Int) -> Comp (Sum Int) -> Comp (Sum Int) -> Bool
semigroupCompAssoc a b c =
    ((unComp (a <> (b <> c))) (Sum 8)) == ((unComp ((a <> b) <> c)) (Sum 8))

monoidLeftIdentity :: (Eq m, Monoid m)
                   => m
                   -> Bool
monoidLeftIdentity a = (mappend mempty a) == a

monoidRightIdentity :: (Eq m, Monoid m)
                    => m
                    -> Bool
monoidRightIdentity a = (mappend a mempty) == a



main :: IO ()
main = do
    quickCheck (semigroupAssoc :: TrivAssoc)
    quickCheck (monoidLeftIdentity :: Trivial -> Bool)
    quickCheck (monoidRightIdentity :: Trivial -> Bool)

    quickCheck (semigroupAssoc :: Identity Trivial -> Identity Trivial -> Identity Trivial -> Bool)
    quickCheck (monoidLeftIdentity :: Identity (Sum Int)-> Bool)
    quickCheck (monoidRightIdentity :: Identity (Sum Int) -> Bool)

    quickCheck (semigroupAssoc :: TwoType -> TwoType -> TwoType -> Bool)
    quickCheck (monoidLeftIdentity :: TwoType -> Bool)
    quickCheck (monoidRightIdentity :: TwoType -> Bool)
    quickCheck (semigroupAssoc :: ThreeType -> ThreeType -> ThreeType -> Bool)
    quickCheck (monoidLeftIdentity :: ThreeType -> Bool)
    quickCheck (monoidRightIdentity :: ThreeType -> Bool)
    quickCheck (semigroupAssoc :: FourType -> FourType -> FourType -> Bool)
    quickCheck (monoidLeftIdentity :: FourType -> Bool)
    quickCheck (monoidRightIdentity :: FourType -> Bool)

    quickCheck (semigroupAssoc :: BoolConj -> BoolConj -> BoolConj -> Bool)
    quickCheck (monoidLeftIdentity :: BoolConj -> Bool)
    quickCheck (monoidRightIdentity :: BoolConj -> Bool)
    quickCheck (semigroupAssoc :: BoolDisj -> BoolDisj -> BoolDisj -> Bool)
    quickCheck (monoidLeftIdentity :: BoolDisj -> Bool)
    quickCheck (monoidRightIdentity :: BoolDisj -> Bool)
    quickCheck (semigroupAssoc :: Or Trivial Trivial -> Or Trivial Trivial -> Or Trivial Trivial -> Bool)
    quickCheck semigroupCombineAssoc
    quickCheck semigroupCompAssoc
    quickCheck (semigroupAssoc :: Validation String Int -> Validation String Int -> Validation String Int -> Bool)