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authorBraxton Hall2022-10-26 08:28:10 +0000
committerGitHub2022-10-26 08:28:10 +0000
commit1e86129a200b7bc2b0120c9eb102952ee78b5c49 (patch)
treec317cee42a9b35bfcb93e57b54b078738f5a352f
parent47f320cecf3d5caf67bda5845d2230cdb9b32708 (diff)
parent97e2651a917e68b5e59595fe538b97d65f4508e7 (diff)
Merge pull request #47 from funemy/main
your favorite $ sign
-rw-r--r--entries/funemy/.gitignore2
-rw-r--r--entries/funemy/haskell/morphib.hs43
-rw-r--r--people.json4
3 files changed, 49 insertions, 0 deletions
diff --git a/entries/funemy/.gitignore b/entries/funemy/.gitignore
index 3d2fbd5..9211bbd 100644
--- a/entries/funemy/.gitignore
+++ b/entries/funemy/.gitignore
@@ -2,3 +2,5 @@
*.agdai
*.smt2
**/.koka/*
+*.hi
+*.o
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)
diff --git a/people.json b/people.json
index c2db098..efe917e 100644
--- a/people.json
+++ b/people.json
@@ -89,6 +89,10 @@
"link": "./entries/funemy/symbolic/phib.py"
},
{
+ "name": "morphism",
+ "link": "./entries/funemy/haskell/morphib.hs"
+ },
+ {
"name": "koka",
"link": "./entries/funemy/koka/fib.kk"
}