-{-# LANGUAGE MultiParamTypeClasses, GADTs, FlexibleContexts, FlexibleInstances, TypeFamilies #-}
+{-# LANGUAGE MultiParamTypeClasses, GADTs, FlexibleContexts, FlexibleInstances, TypeFamilies, RankNTypes #-}
-----------------------------------------------------------------------------
-- |
-- Module : GArrowSkeleton
--
-- A normal form theorem and normalization algorithm are being prepared.
--
-module GArrowSkeleton (GArrowSkeleton(..), optimize, beautify)
+module GArrowSkeleton (GArrowSkeleton(..), mkSkeleton, OptimizeFlag(..), optimize, beautify, skelify)
where
import Prelude hiding ( id, (.), lookup, repeat )
import Control.Category
-import GHC.HetMet.GArrow
+import Control.GArrow
import Unify
import Control.Monad.State
+import GArrowInclusion
data GArrowSkeleton m :: * -> * -> *
where
- GAS_const :: Int -> GArrowSkeleton m () Int
GAS_id :: GArrowSkeleton m x x
GAS_comp :: GArrowSkeleton m x y -> GArrowSkeleton m y z -> GArrowSkeleton m x z
GAS_first :: GArrowSkeleton m x y -> GArrowSkeleton m (x,z) (y,z)
GAS_drop :: GArrowSkeleton m x ()
GAS_copy :: GArrowSkeleton m x (x,x)
GAS_swap :: GArrowSkeleton m (x,y) (y,x)
- GAS_merge :: GArrowSkeleton m (x,y) z
GAS_loopl :: GArrowSkeleton m (z,x) (z,y) -> GArrowSkeleton m x y
GAS_loopr :: GArrowSkeleton m (x,z) (y,z) -> GArrowSkeleton m x y
GAS_misc :: m x y -> GArrowSkeleton m x y
type instance GArrowUnit (GArrowSkeleton m) = ()
type instance GArrowExponent (GArrowSkeleton m) = (->)
-instance GArrowSTKCL (GArrowSkeleton m)
+instance GArrowCopyDropSwapLoop (GArrowSkeleton m)
+
+instance GArrowInclusion (GArrowSkeleton m) (,) () m where
+ ga_inc = GAS_misc
+
+skelify :: (forall g . (GArrowCopyDropSwapLoop g, GArrowInclusion g (,) () m) => g x y) -> GArrowSkeleton m x y
+skelify = \g -> g
--
-- | Simple structural equality on skeletons. NOTE: two skeletons
GAS_uncancell === GAS_uncancell = True
GAS_uncancelr === GAS_uncancelr = True
GAS_drop === GAS_drop = True
- (GAS_const i) === (GAS_const i') = i==i'
GAS_copy === GAS_copy = True
- GAS_merge === GAS_merge = True
GAS_swap === GAS_swap = True
GAS_assoc === GAS_assoc = True
GAS_unassoc === GAS_unassoc = True
(GAS_loopl f) === (GAS_loopl f') = f === f'
(GAS_loopr f) === (GAS_loopr f') = f === f'
+ (GAS_misc _) === (GAS_misc _) = True -- FIXME
_ === _ = False
- -- FIXME: GAS_misc's are never equal!!!
+
+data OptimizeFlag = DoOptimize | NoOptimize
+
+mkSkeleton :: OptimizeFlag ->
+ (forall g .
+ (GArrow g (,) ()
+ ,GArrowCopy g (,) ()
+ ,GArrowDrop g (,) ()
+ ,GArrowSwap g (,) ()
+ ,GArrowLoop g (,) ()
+ ,GArrowInclusion g (,) () m) =>
+ g x y)
+ -> GArrowSkeleton m x y
+mkSkeleton DoOptimize = \g -> (beautify . optimize) g
+mkSkeleton NoOptimize = \g -> g
+
+
--
-- | Performs some very simple-minded optimizations on a
gas2gasl :: GArrowSkeleton m x y -> GArrowSkeletonL m x y
-gas2gasl (GAS_const k ) = GASL_Y $ GASY_X $ GASX_const k
gas2gasl (GAS_id ) = GASL_id
gas2gasl (GAS_comp f g) = gaslcat (gas2gasl f) (gas2gasl g)
gas2gasl (GAS_first f) = gasl_firstify $ gas2gasl f
gas2gasl (GAS_drop ) = GASL_Y $ GASY_X $ GASX_drop
gas2gasl (GAS_copy ) = GASL_Y $ GASY_X $ GASX_copy
gas2gasl (GAS_swap ) = GASL_Y $ GASY_X $ GASX_swap
-gas2gasl (GAS_merge ) = GASL_Y $ GASY_X $ GASX_merge
gas2gasl (GAS_loopl f) = GASL_Y $ GASY_X $ GASX_loopl $ gas2gasl f
gas2gasl (GAS_loopr f) = GASL_Y $ GASY_X $ GASX_loopr $ gas2gasl f
gas2gasl (GAS_misc m) = GASL_Y $ GASY_X $ GASX_misc m
data GArrowSkeletonX m :: * -> * -> *
where
- GASX_const :: Int -> GArrowSkeletonX m () Int
GASX_cancell :: GArrowSkeletonX m ((),x) x
GASX_cancelr :: GArrowSkeletonX m (x,()) x
GASX_uncancell :: GArrowSkeletonX m x ((),x)
GASX_drop :: GArrowSkeletonX m x ()
GASX_copy :: GArrowSkeletonX m x (x,x)
GASX_swap :: GArrowSkeletonX m (x,y) (y,x)
- GASX_merge :: GArrowSkeletonX m (x,y) z
GASX_misc :: m x y -> GArrowSkeletonX m x y
GASX_loopl :: GArrowSkeletonL m (z,x) (z,y) -> GArrowSkeletonX m x y
GASX_loopr :: GArrowSkeletonL m (x,z) (y,z) -> GArrowSkeletonX m x y
gasy2gas (GASY_atomicr gy) = GAS_comp GAS_uncancelr (GAS_second $ gasy2gas gy)
gasx2gas :: GArrowSkeletonX m x y -> GArrowSkeleton m x y
-gasx2gas (GASX_const k) = GAS_const k
gasx2gas (GASX_cancell) = GAS_cancell
gasx2gas (GASX_cancelr) = GAS_cancelr
gasx2gas (GASX_uncancell) = GAS_uncancell
gasx2gas (GASX_drop) = GAS_drop
gasx2gas (GASX_copy) = GAS_copy
gasx2gas (GASX_swap) = GAS_swap
-gasx2gas (GASX_merge) = GAS_merge
gasx2gas (GASX_misc m) = GAS_misc m
gasx2gas (GASX_loopl gl) = GAS_loopl $ gasl2gas gl
gasx2gas (GASX_loopr gl) = GAS_loopr $ gasl2gas gl
optimizel :: GArrowSkeletonL m x y -> GArrowSkeletonL m x y
+--optimizel (GASL_comp (GASL_Y (GASY_X GAS_uncancelr)) (GASL_Y (GASY_X GASX_copy))) =
+-- (GASL_comp (GASL_Y (GASY_X GAS_uncancelr)) (GASL_Y (GASY_X GASX_copy)))
optimizel (GASL_id ) = GASL_id
optimizel (GASL_Y gy ) = GASL_Y $ optimizey gy
optimizel (GASL_comp gy (GASL_comp gy' gl)) | Just x <- optpair gy gy' = optimizel $ gaslcat x gl
optpair q (GASY_X (GASX_loopl gl)) | pushin q = Just $ GASL_Y $ (GASY_X $ GASX_loopl $ GASL_comp (GASY_second $ q) gl)
optpair q (GASY_X (GASX_loopr gl)) | pushin q = Just $ GASL_Y $ (GASY_X $ GASX_loopr $ GASL_comp (GASY_first $ q) gl)
-optpair a@(GASY_X GASX_uncancell) (GASY_first b@(GASY_X (GASX_const c))) = Just $ GASL_Y $ GASY_atomicl b
-optpair a@(GASY_X GASX_uncancelr) (GASY_second b@(GASY_X (GASX_const c))) = Just $ GASL_Y $ GASY_atomicr b
-
optpair (GASY_first gy1) (GASY_second gy2) | pushleft gy2, not (pushleft gy1)
= Just $ GASL_comp (GASY_second gy2) $ GASL_Y $ GASY_first gy1
optpair (GASY_second gy1) (GASY_first gy2) | pushleft gy2, not (pushleft gy1)
optimizey (GASY_atomicr gy) = GASY_atomicr $ optimizey gy
optimizex :: GArrowSkeletonX m x y -> GArrowSkeletonX m x y
-optimizex (GASX_const k) = GASX_const k
optimizex (GASX_cancell) = GASX_cancell
optimizex (GASX_cancelr) = GASX_cancelr
optimizex (GASX_uncancell) = GASX_uncancell
optimizex (GASX_drop) = GASX_drop
optimizex (GASX_copy) = GASX_copy
optimizex (GASX_swap) = GASX_swap
-optimizex (GASX_merge) = GASX_merge
optimizex (GASX_misc m) = GASX_misc m
optimizex (GASX_loopl (GASL_comp (GASY_first gy) gl))| pushleft gy = GASX_loopl $ gaslcat gl (GASL_Y $ GASY_first gy)
optimizex (GASX_loopr (GASL_comp (GASY_second gy) gl))| pushleft gy = GASX_loopr $ gaslcat gl (GASL_Y $ GASY_second gy)
projects / coq-hetmet.git / blobdiff