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| author | Eugen Wissner <belka@caraus.de> | 2025-12-11 10:28:11 +0100 |
|---|---|---|
| committer | Eugen Wissner <belka@caraus.de> | 2025-12-11 10:28:11 +0100 |
| commit | 98329e0a3dd4f78b5d815ac3896272ec70904901 (patch) | |
| tree | 80f9c56cfe2ac20232358f236d32e84bd683be1b /Haskell-book/15/semigroup/src/Two.hs | |
| parent | 3624c712d72d246f21d4e710cec7c11e052e0326 (diff) | |
| download | book-exercises-98329e0a3dd4f78b5d815ac3896272ec70904901.tar.gz | |
Add remaining haskell book exercises
Diffstat (limited to 'Haskell-book/15/semigroup/src/Two.hs')
| -rw-r--r-- | Haskell-book/15/semigroup/src/Two.hs | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/Haskell-book/15/semigroup/src/Two.hs b/Haskell-book/15/semigroup/src/Two.hs new file mode 100644 index 0000000..70c2760 --- /dev/null +++ b/Haskell-book/15/semigroup/src/Two.hs @@ -0,0 +1,53 @@ +module Two where + +import Data.Semigroup +import Test.QuickCheck + +data Two a b = Two a b deriving (Eq, Show) + +data Three a b c = Three a b c deriving (Eq, Show) + +data Four a b c d = Four a b c d deriving (Eq, Show) + +instance (Semigroup a, Semigroup b) => Semigroup (Two a b) where + (Two x1 y1) <> (Two x2 y2) = Two (x1 <> x2) (y1 <> y2) + +instance (Monoid a, Monoid b) => Monoid (Two a b) where + mempty = Two mempty mempty + mappend (Two x1 y1) (Two x2 y2) = Two (mappend x1 x2) (mappend y1 y2) + +instance (Arbitrary a, Arbitrary b) => Arbitrary (Two a b) where + arbitrary = do + x <- arbitrary + y <- arbitrary + return $ Two x y + +instance (Semigroup a, Semigroup b, Semigroup c) => Semigroup (Three a b c) where + (Three x1 y1 z1) <> (Three x2 y2 z2) = Three (x1 <> x2) (y1 <> y2) (z1 <> z2) + +instance (Monoid a, Monoid b, Monoid c) => Monoid (Three a b c) where + mempty = Three mempty mempty mempty + mappend (Three x1 y1 z1) (Three x2 y2 z2) = Three (mappend x1 x2) (mappend y1 y2) (mappend z1 z2) + +instance (Arbitrary a, Arbitrary b, Arbitrary c) => Arbitrary (Three a b c) where + arbitrary = do + x <- arbitrary + y <- arbitrary + z <- arbitrary + return $ Three x y z + +instance (Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (Four a b c d) where + (Four x1 y1 z1 t1) <> (Four x2 y2 z2 t2) = Four (x1 <> x2) (y1 <> y2) (z1 <> z2) (t1 <> t2) + +instance (Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (Four a b c d) where + mempty = Four mempty mempty mempty mempty + mappend (Four x1 y1 z1 t1) (Four x2 y2 z2 t2) = + Four (mappend x1 x2) (mappend y1 y2) (mappend z1 z2) (mappend t1 t2) + +instance (Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d) => Arbitrary (Four a b c d) where + arbitrary = do + x <- arbitrary + y <- arbitrary + z <- arbitrary + t <- arbitrary + return $ Four x y z t |
