More work on transpiler

1 files changed, 68 insertions, 1 deletions

diff --git a/src/Transpile.hs b/src/Transpile.hs
index 2b8134f..3c0c1dc 100644
--- a/src/Transpile.hs
+++ b/src/Transpile.hs
@@ -1,8 +1,75 @@
+-- This code partly uses algorithms created by John Tromp.
+-- Since they did not license their code (afaik), I assume it's okay to reuse it.
+
 module Transpile
   ( transpileSKI
+  , transpileBirb
   ) where
 
 import           Term
+import           Utils
+
+data SKI = S | K | I | AppSKI SKI SKI | IdxSKI Int
+  deriving (Eq, Ord)
+
+data Birb = Swan | Kool | Bird | Quacky
+  deriving (Eq, Ord, Show)
+
+instance Show SKI where
+  showsPrec _ S = showString "s"
+  showsPrec _ K = showString "k"
+  showsPrec _ I = showString "i"
+  showsPrec _ (AppSKI x y) =
+    showString "(" . shows x . showString " " . shows y . showString ")"
+  showsPrec _ (IdxSKI i) = shows i
+
+drip :: SKI -> SKI
+drip i@(AppSKI (AppSKI S K) _) = i
+drip (  IdxSKI 0             ) = invalid
+drip (  IdxSKI i             ) = IdxSKI (i - 1)
+drip (  AppSKI x y           ) = AppSKI (drip x) (drip y)
+drip x                         = x
+
+abstract :: SKI -> SKI
+abstract (AppSKI sk@(AppSKI S K) _) = sk
+abstract e = if freeIn (== 0) e then occabstract e else AppSKI K (drip e) where
+  freeIn _  (AppSKI (AppSKI S K) _) = False
+  freeIn fv (AppSKI x            y) = freeIn fv x || freeIn fv y
+  freeIn fv (IdxSKI i             ) = fv i
+  freeIn _  _                       = False
+  isConst = not . freeIn (const True)
+  occabstract (IdxSKI 0) = I
+  occabstract (AppSKI m (IdxSKI 0)) | not (freeIn (== 0) m) = drip m
+  occabstract (AppSKI (AppSKI l m) l') | l == l' -- && freeIn (==0) e1
+                                                 =
+    occabstract (AppSKI (AppSKI (AppSKI (AppSKI S S) K) l) m)
+  occabstract (AppSKI m (AppSKI n l)) | isConst m && isConst n =
+    occabstract (AppSKI (AppSKI (AppSKI S (abstract m)) n) l)
+  occabstract (AppSKI (AppSKI m n) l) | isConst m && isConst l =
+    occabstract (AppSKI (AppSKI (AppSKI S m) (abstract l)) n)
+  occabstract (AppSKI (AppSKI m l) (AppSKI n l'))
+    | l == l' && isConst m && isConst n = occabstract
+      (AppSKI (AppSKI (AppSKI S m) n) l)
+  occabstract (AppSKI e1 e2) = AppSKI (AppSKI S (abstract e1)) (abstract e2)
+  occabstract _              = invalid
 
 transpileSKI :: Term -> SKI
-transpileSKI t = t
+transpileSKI (Idx i  ) = IdxSKI i
+transpileSKI (App m n) = AppSKI (transpileSKI m) (transpileSKI n)
+transpileSKI (Abs m  ) = abstract (transpileSKI m)
+
+fromSKI :: SKI -> Birb
+fromSKI S = Swan
+fromSKI K = Kool
+fromSKI I = Bird
+fromSKI _ = invalid
+
+transpileBirb :: SKI -> [Birb]
+transpileBirb (AppSKI a b) = case [a, b] of
+  [AppSKI x l, AppSKI y r] -> invalid -- TODO
+  [AppSKI x l, r] -> [Bird, Bird] ++ transpileBirb x ++ [fromSKI a, fromSKI b]
+  [l, AppSKI r x] ->
+    [Bird, Quacky] ++ transpileBirb x ++ [fromSKI r, fromSKI l]
+  [l, r] -> [fromSKI l, fromSKI r]
+transpileBirb (IdxSKI _) = invalid
+transpileBirb s          = [fromSKI s]