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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/21/instances/src/Lib.hs | |
| parent | 3624c712d72d246f21d4e710cec7c11e052e0326 (diff) | |
| download | book-exercises-98329e0a3dd4f78b5d815ac3896272ec70904901.tar.gz | |
Add remaining haskell book exercises
Diffstat (limited to 'Haskell-book/21/instances/src/Lib.hs')
| -rw-r--r-- | Haskell-book/21/instances/src/Lib.hs | 222 |
1 files changed, 222 insertions, 0 deletions
diff --git a/Haskell-book/21/instances/src/Lib.hs b/Haskell-book/21/instances/src/Lib.hs new file mode 100644 index 0000000..1fbb25b --- /dev/null +++ b/Haskell-book/21/instances/src/Lib.hs @@ -0,0 +1,222 @@ +module Lib where + +import Data.Monoid +import Data.Traversable +import Test.QuickCheck +import Test.QuickCheck.Checkers + +-- +-- Identity +-- +newtype Identity a = Identity a + deriving (Eq, Ord, Show) + +instance Functor Identity where + fmap f (Identity x) = Identity $ f x + +instance Applicative Identity where + pure = Identity + (Identity f) <*> x = fmap f x + +instance Foldable Identity where + foldr f acc (Identity x) = f x acc + +instance Arbitrary a => Arbitrary (Identity a) where + arbitrary = fmap Identity $ arbitrary + +instance Eq a => EqProp (Identity a) where + (=-=) = eq + +instance Traversable Identity where + traverse f (Identity x) = Identity <$> f x + +-- +-- Constant +-- +newtype Constant a b = Constant { getConstant :: a } + deriving (Eq, Ord, Show) + +instance Functor (Constant a) where + fmap _ (Constant x) = Constant x + +instance Monoid a => Applicative (Constant a) where + pure _ = Constant mempty + (Constant x) <*> (Constant y) = Constant $ mappend x y + +instance (Arbitrary a, Arbitrary b) => Arbitrary (Constant a b) where + arbitrary = do + x <- arbitrary + return $ Constant x + +instance (Eq a, Eq b) => EqProp (Constant a b) where + (=-=) = eq + +instance Foldable (Constant a) where + foldMap _ (Constant _) = mempty + +instance Traversable (Constant a) where + traverse f (Constant x) = pure $ Constant x + +-- +-- Maybe +-- +data Optional a = Nada | Yep a deriving (Show, Eq, Ord) + +instance Monoid a => Monoid (Optional a) where + mempty = Nada + mappend Nada _ = Nada + mappend _ Nada = Nada + mappend (Yep x) (Yep y) = Yep $ mappend x y + +instance Applicative Optional where + pure = Yep + (Yep f) <*> (Yep x) = Yep $ f x + Nada <*> (Yep x) = Nada + _ <*> Nada = Nada + +instance Functor Optional where + fmap _ Nada = Nada + fmap f (Yep x) = Yep $ f x + +instance Foldable Optional where + foldr f acc Nada = acc + foldr f acc (Yep x) = f x acc + +instance Traversable Optional where + traverse f Nada = pure Nada + traverse f (Yep x) = Yep <$> f x + +instance (CoArbitrary a, Arbitrary a) => Arbitrary (Optional a) where + arbitrary = do + x <- arbitrary + frequency [ (1, return Nada) + , (2, return $ Yep x) + ] + +instance (Eq a) => EqProp (Optional a) where + (=-=) = eq + +-- +-- List +-- +data List a = Nil | Cons a (List a) deriving (Eq, Show) + +instance Functor List where + fmap _ Nil = Nil + fmap f (Cons x xs) = Cons (f x) (fmap f xs) + +instance Foldable List where + foldr _ acc Nil = acc + foldr f acc (Cons x xs) = f x (foldr f acc xs) + +instance Traversable List where + sequenceA Nil = pure Nil + sequenceA (Cons x xs) = Cons <$> x <*> (sequenceA xs) + +instance Arbitrary a => Arbitrary (List a) where + arbitrary = sized go + where go 0 = pure Nil + go n = do + xs <- go (n - 1) + x <- arbitrary + return $ Cons x xs + +instance (Eq a) => EqProp (List a) where + (=-=) = eq + +-- +-- Three +-- +data Three a b c = Three a b c deriving (Show, Eq) + +instance Functor (Three a b) where + fmap f (Three x y z) = Three x y (f z) + +instance Foldable (Three a b) where + foldr f acc (Three x y z) = (f z acc) + +instance Traversable (Three a b) where + traverse f (Three x y z) = fmap (Three x y) (f z) + +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 (Eq a, Eq b, Eq c) => EqProp (Three a b c) where + (=-=) = eq + +-- +-- Pair +-- +data Pair a b = Pair a b deriving (Eq, Show) + +instance Functor (Pair a) where + fmap f (Pair x y) = Pair x (f y) + +instance Foldable (Pair a) where + foldr f acc (Pair x y) = (f y acc) + +instance Traversable (Pair a) where + traverse f (Pair x y) = fmap (Pair x) (f y) + +instance (Arbitrary a, Arbitrary b) => Arbitrary (Pair a b) where + arbitrary = do + x <- arbitrary + y <- arbitrary + return $ Pair x y + +instance (Eq a, Eq b) => EqProp (Pair a b) where + (=-=) = eq + +-- +-- Big +-- +data Big a b = Big a b b deriving (Eq, Show) + +instance Functor (Big a) where + fmap f (Big x y z) = Big x (f y) (f z) + +instance Foldable (Big a) where + foldr f acc (Big _ y z) = (f y (f z acc)) + +instance Traversable (Big a) where + traverse f (Big x y z) = (Big x) <$> (f y) <*> (f z) + +instance (Arbitrary a, Arbitrary b) => Arbitrary (Big a b) where + arbitrary = do + x <- arbitrary + y <- arbitrary + z <- arbitrary + return $ Big x y z + +instance (Eq a, Eq b) => EqProp (Big a b) where + (=-=) = eq + +-- +-- Bigger +-- +data Bigger a b = Bigger a b b b deriving (Eq, Show) + +instance Functor (Bigger a) where + fmap f (Bigger x y z t) = Bigger x (f y) (f z) (f t) + +instance Foldable (Bigger a) where + foldr f acc (Bigger _ y z t) = f y $ f z $ f t acc + +instance Traversable (Bigger a) where + traverse f (Bigger x y z t) = (Bigger x) <$> (f y) <*> (f z) <*> (f t) + +instance (Arbitrary a, Arbitrary b) => Arbitrary (Bigger a b) where + arbitrary = do + x <- arbitrary + y <- arbitrary + z <- arbitrary + t <- arbitrary + return $ Bigger x y z t + +instance (Eq a, Eq b) => EqProp (Bigger a b) where + (=-=) = eq + |
