Merge branch 'main' into lily

1 files changed, 43 insertions, 0 deletions

diff --git a/entries/funemy/haskell/morphib.hs b/entries/funemy/haskell/morphib.hs
new file mode 100644
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--- /dev/null
+++ b/entries/funemy/haskell/morphib.hs
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+-- Fantastic Morphisms
+newtype Free f = Free {unFree :: f (Free f)}
+
+cata :: Functor f => (f a -> a) -> Free f -> a
+cata phi (Free x) = phi $ fmap (cata phi) x
+
+ana :: Functor f => (a -> f a) -> a -> Free f
+ana phi x = Free $ fmap (ana phi) (phi x)
+
+data FibF a =
+      Fib0
+    | Fib1
+    | FibN a a
+    deriving (Eq, Show)
+
+instance Functor FibF where
+    fmap f Fib0       = Fib0
+    fmap f Fib1       = Fib1
+    fmap f (FibN l r) = FibN (f l) (f r)
+
+type Fib a = Free FibF
+
+gen :: Int -> FibF Int
+gen 0 = Fib0
+gen 1 = Fib1
+gen n = FibN (n-1) (n-2)
+
+interp :: FibF Int -> Int
+interp Fib0       = 0
+interp Fib1       = 1
+interp (FibN l r) = l + r
+
+bif :: Int -> Fib Int
+bif = ana gen
+
+fib' :: Fib Int -> Int
+fib' = cata interp
+
+fib :: Int -> Int
+fib = fib' . bif
+
+main :: IO ()
+main = print (fib 14)