From 97e2651a917e68b5e59595fe538b97d65f4508e7 Mon Sep 17 00:00:00 2001
From: funemy
Date: Tue, 25 Oct 2022 19:59:44 -0700
Subject: yet another haskell fib

---
 entries/funemy/haskell/morphib.hs | 43 +++++++++++++++++++++++++++++++++++++++
 1 file changed, 43 insertions(+)
 create mode 100644 entries/funemy/haskell/morphib.hs

(limited to 'entries/funemy/haskell/morphib.hs')

diff --git a/entries/funemy/haskell/morphib.hs b/entries/funemy/haskell/morphib.hs
new file mode 100644
index 0000000..1fae449
--- /dev/null
+++ b/entries/funemy/haskell/morphib.hs
@@ -0,0 +1,43 @@
+-- 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)
-- 
cgit v1.2.3-70-g09d2