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-rw-r--r--src/AST/SplitLets.hs154
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-{-# LANGUAGE DataKinds #-}
-{-# LANGUAGE GADTs #-}
-{-# LANGUAGE LambdaCase #-}
-{-# LANGUAGE RankNTypes #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE UndecidableInstances #-}
-module AST.SplitLets (splitLets) where
-
-import Data.Type.Equality
-
-import AST
-import AST.Bindings
-import Lemmas
-
-
-splitLets :: Ex env t -> Ex env t
-splitLets = splitLets' (\t i w -> EVar ext t (w @> i))
-
-splitLets' :: (forall a env2. STy a -> Idx env a -> env' :> env2 -> Ex env2 a) -> Ex env t -> Ex env' t
-splitLets' = \sub -> \case
- EVar _ t i -> sub t i WId
- ELet _ (rhs :: Ex env t1) body -> ELet ext (splitLets' sub rhs) (split1 sub (typeOf rhs) body)
- ECase x e a b ->
- let STEither t1 t2 = typeOf e
- in ECase x (splitLets' sub e) (split1 sub t1 a) (split1 sub t2 b)
- EMaybe x a b e ->
- let STMaybe t1 = typeOf e
- in EMaybe x (splitLets' sub a) (split1 sub t1 b) (splitLets' sub e)
- ELCase x e a b c ->
- let STLEither t1 t2 = typeOf e
- in ELCase x (splitLets' sub e) (splitLets' sub a) (split1 sub t1 b) (split1 sub t2 c)
- EFold1Inner x cm a b c ->
- let STArr _ t1 = typeOf c
- in EFold1Inner x cm (split2 sub t1 t1 a) (splitLets' sub b) (splitLets' sub c)
-
- EPair x a b -> EPair x (splitLets' sub a) (splitLets' sub b)
- EFst x e -> EFst x (splitLets' sub e)
- ESnd x e -> ESnd x (splitLets' sub e)
- ENil x -> ENil x
- EInl x t e -> EInl x t (splitLets' sub e)
- EInr x t e -> EInr x t (splitLets' sub e)
- ENothing x t -> ENothing x t
- EJust x e -> EJust x (splitLets' sub e)
- ELNil x t1 t2 -> ELNil x t1 t2
- ELInl x t e -> ELInl x t (splitLets' sub e)
- ELInr x t e -> ELInr x t (splitLets' sub e)
- EConstArr x n t a -> EConstArr x n t a
- EBuild x n a b -> EBuild x n (splitLets' sub a) (splitLets' (sinkF sub) b)
- ESum1Inner x e -> ESum1Inner x (splitLets' sub e)
- EUnit x e -> EUnit x (splitLets' sub e)
- EReplicate1Inner x a b -> EReplicate1Inner x (splitLets' sub a) (splitLets' sub b)
- EMaximum1Inner x e -> EMaximum1Inner x (splitLets' sub e)
- EMinimum1Inner x e -> EMinimum1Inner x (splitLets' sub e)
- EConst x t v -> EConst x t v
- EIdx0 x e -> EIdx0 x (splitLets' sub e)
- EIdx1 x a b -> EIdx1 x (splitLets' sub a) (splitLets' sub b)
- EIdx x e es -> EIdx x (splitLets' sub e) (splitLets' sub es)
- EShape x e -> EShape x (splitLets' sub e)
- EOp x op e -> EOp x op (splitLets' sub e)
- ECustom x s t p a b c e1 e2 -> ECustom x s t p a b c (splitLets' sub e1) (splitLets' sub e2)
- ERecompute x e -> ERecompute x (splitLets' sub e)
- EWith x t e1 e2 -> EWith x t (splitLets' sub e1) (splitLets' (sinkF sub) e2)
- EAccum x t p e1 sp e2 e3 -> EAccum x t p (splitLets' sub e1) sp (splitLets' sub e2) (splitLets' sub e3)
- EZero x t ezi -> EZero x t (splitLets' sub ezi)
- EDeepZero x t ezi -> EDeepZero x t (splitLets' sub ezi)
- EPlus x t a b -> EPlus x t (splitLets' sub a) (splitLets' sub b)
- EOneHot x t p a b -> EOneHot x t p (splitLets' sub a) (splitLets' sub b)
- EError x t s -> EError x t s
- where
- sinkF :: (forall a env2. STy a -> Idx env a -> env' :> env2 -> Ex env2 a)
- -> STy t -> Idx (b : env) t -> (b : env') :> env3 -> Ex env3 t
- sinkF _ t IZ w = EVar ext t (w @> IZ)
- sinkF f t (IS i) w = f t i (w .> WSink)
-
- split1 :: (forall a env2. STy a -> Idx env a -> env' :> env2 -> Ex env2 a)
- -> STy bind -> Ex (bind : env) t -> Ex (bind : env') t
- split1 sub (tbind :: STy bind) body =
- let (ptrs, bs) = split tbind
- in letBinds bs $
- splitLets' (\cases _ IZ w -> subPointers ptrs w
- t (IS i) w -> sub t i (WPop @bind (wPops (bindingsBinds bs) w)))
- body
-
- split2 :: forall bind1 bind2 env' env t.
- (forall a env2. STy a -> Idx env a -> env' :> env2 -> Ex env2 a)
- -> STy bind1 -> STy bind2 -> Ex (bind2 : bind1 : env) t -> Ex (bind2 : bind1 : env') t
- split2 sub tbind1 tbind2 body =
- let (ptrs1', bs1') = split @env' tbind1
- bs1 = fst (weakenBindings weakenExpr WSink bs1')
- (ptrs2, bs2) = split @(bind1 : env') tbind2
- in letBinds bs1 $
- letBinds (fst (weakenBindings weakenExpr (sinkWithBindings @(bind2 : bind1 : env') bs1) bs2)) $
- splitLets' (\cases _ IZ w -> subPointers ptrs2 (w .> wCopies (bindingsBinds bs2) (wSinks @(bind2 : bind1 : env') (bindingsBinds bs1)))
- _ (IS IZ) w -> subPointers ptrs1' (w .> wSinks (bindingsBinds bs2) .> wCopies (bindingsBinds bs1) (WSink @bind2 @(bind1 : env')))
- t (IS (IS i)) w -> sub t i (WPop @bind1 (WPop @bind2 (wPops (bindingsBinds bs1) (wPops (bindingsBinds bs2) w)))))
- body
-
-type family Split t where
- Split (TPair a b) = SplitRec (TPair a b)
- Split _ = '[]
-
-type family SplitRec t where
- SplitRec TNil = '[]
- SplitRec (TPair a b) = Append (SplitRec b) (SplitRec a)
- SplitRec t = '[t]
-
-data Pointers env t where
- Point :: STy t -> Idx env t -> Pointers env t
- PNil :: Pointers env TNil
- PPair :: Pointers env a -> Pointers env b -> Pointers env (TPair a b)
- PWeak :: env' :> env -> Pointers env' t -> Pointers env t
-
-subPointers :: Pointers env t -> env :> env' -> Ex env' t
-subPointers (Point t i) w = EVar ext t (w @> i)
-subPointers PNil _ = ENil ext
-subPointers (PPair a b) w = EPair ext (subPointers a w) (subPointers b w)
-subPointers (PWeak w' p) w = subPointers p (w .> w')
-
-split :: forall env t. STy t
- -> (Pointers (Append (Split t) (t : env)) t, Bindings Ex (t : env) (Split t))
-split typ = case typ of
- STPair{} -> splitRec (EVar ext typ IZ) typ
- STNil -> other
- STEither{} -> other
- STLEither{} -> other
- STMaybe{} -> other
- STArr{} -> other
- STScal{} -> other
- STAccum{} -> other
- where
- other :: (Pointers (t : env) t, Bindings Ex (t : env) '[])
- other = (Point typ IZ, BTop)
-
-splitRec :: forall env t. Ex env t -> STy t
- -> (Pointers (Append (SplitRec t) env) t, Bindings Ex env (SplitRec t))
-splitRec rhs typ = case typ of
- STNil -> (PNil, BTop)
- STPair (a :: STy a) (b :: STy b)
- | Refl <- lemAppendAssoc @(SplitRec b) @(SplitRec a) @env ->
- let (p1, bs1) = splitRec (EFst ext rhs) a
- (p2, bs2) = splitRec (ESnd ext (sinkWithBindings bs1 `weakenExpr` rhs)) b
- in (PPair (PWeak (sinkWithBindings bs2) p1) p2, bconcat bs1 bs2)
- STEither{} -> other
- STLEither{} -> other
- STMaybe{} -> other
- STArr{} -> other
- STScal{} -> other
- STAccum{} -> other
- where
- other :: (Pointers (t : env) t, Bindings Ex env '[t])
- other = (Point typ IZ, BPush BTop (typ, rhs))
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