Add remaining haskell book exercises

Haskell-book/15/semigroup/test/Main.hs

@@ -0,0 +1,72 @@
+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)