-- -- (c) Susumu Katayama 2009 -- \begin{code} {-# OPTIONS -fglasgow-exts -cpp #-} module MagicHaskeller.ProgGenSF(ProgGenSF, PGSF) where import MagicHaskeller.Types import MagicHaskeller.TyConLib import Control.Monad import MagicHaskeller.CoreLang import Control.Monad.Search.Combinatorial import MagicHaskeller.PriorSubsts import Data.List(partition, sortBy, sort, nub, (\\)) import Data.Ix(inRange) import MagicHaskeller.ClassifyDM import MagicHaskeller.Classify(diffSortedBy) import System.Random(mkStdGen, StdGen) import MagicHaskeller.Instantiate import MagicHaskeller.ProgramGenerator import MagicHaskeller.Expression import MagicHaskeller.T10(mergesortWithBy) import MagicHaskeller.DebMT import Debug.Trace -- trace str = id reorganize_ = reorganizer_ -- reorganize_ = id classify = True traceExpTy _ = id -- traceExpTy fty = trace ("lookupexp "++ show fty) traceTy _ = id -- traceTy fty = trace ("lookup "++ show fty) -- Memoization table, created from primitive components type ProgGenSF = PGSF AnnExpr newtype Expression e => PGSF e = PGSF (MemoDeb e) -- internal data representation. -- ^ Program generator with synergetic filtration. -- This program generator employs filtration by random testing, and rarely generate semantically equivalent expressions more than once, while different expressions will eventually appear (for most of the types, represented with Prelude types, whose arguments are instance of Arbitrary and which return instance of Ord). -- The idea is to apply random numbers to the generated expressions, compute the quotient set of the resulting values at each depth of the search tree, and adopt the complete system of representatives for the depth and push the remaining expressions to one step deeper in the search tree. -- (Thus, adoption of expressions that may be equivalent to another already-generated-expression will be postponed until their \"uniqueness\" is proved.) -- As a result, (unlike "ProgGen",) expressions with size N may not appear at depth N but some deeper place. -- -- "ProgGenSF" is more efficient along with a middle-sized primitive set (like @reallyall@ found in LibTH.hs), -- but is slower than "ProgGen" for a small-sized one. -- -- Also note that "ProgGenSF" depends on hard use of unsafe* stuff, so if there is a bug, it may segfault.... type ExpTip e = Matrix e type ExpTrie e = MapType (ExpTip e) type TypeTrie e = MapType (Matrix (ExpTip e, Subst, Int)) type MemoTrie e = (TypeTrie e, ExpTrie e) lmt :: Expression e => (Int, MemoDeb e) -> Type -> Matrix e lmt (_,memoDeb@((_,mt),_,cmn)) fty = traceExpTy fty $ lookupMT mt fty -- こっちだとlookup -- filtBF cmn fty $ matchFunctions (maxBound', memoDeb) fty -- こっちだとrecompute -- filtBF ty = fmap fromAnnExpr . filterBF tcl rtrie ty . fmap (toAnnExprWind (execute opt) ty) . tabulate --filtBF cmn ty = dbToCumulativeMx . fmap fromAnnExpr . fDM cmn ty . fmap (toAnnExprWind (execute (opt cmn) (vl cmn)) ty) . mapDepthDB uniqSorter -- . mondepth filtBF cmn ty | classify = dbToCumulativeMx . fmap fromAnnExpr . fDM cmn ty . fmap (toAnnExprWind (execute (opt cmn) (vl cmn)) ty) . (\(DB g) -> DB (\d -> -- trace (shows (length (g d)) $ ('\t':) $ shows d $ ('\t':) $ show ty) $ uniqSorter (g d))) | otherwise = toMx . mapDepthDB uniqSorter fDM = filterDM -- こっちが従来 -- fDM = filterDMlite -- depth bound(つまり，Int->[(a,Int)]における引数のInt)の代わりに，depth boundからの距離(つまり，Int->[(a,Int)]におけるInt->[(a,ここのInt)])を使ってnrndsの何番目かを決めるもの． -- filterDMと違って，同じdepth boundでも違う乱数を使うので，filterList同様depthを跨いだfiltrationができず，結果はいまいち． -- ただし，dynamicな関数自体をメモ化すれば，格段にメモにヒットしやすくなるはず． lmtty mt fty = traceTy fty $ lookupMT mt fty --memocond i = 3 ProgramGenerator (PGSF e) where mkTrieOpt cmn tcesopt tces = PGSF (mkTrieOptSF cmn tcesopt tces) matchingPrograms ty (dep, PGSF x) = fromMx $ matchProgs (dep, x) ty unifyingPrograms ty (dep, px@(PGSF x)) = catBags $ fromDB $ fmap (\ (es,_,_) -> map (toAnnExpr $ reducer px) es) $ unifyingPossibilities ty (dep, x) extractCommon (PGSF (_,_,cmn)) = cmn unifyingPossibilities ty memodeb = unPS (unifyableExprs memodeb [] ty) emptySubst 0 -- quantifyされたやつがmemoizeされている訳だから，queryのentryではquantifyする必要はない -- entry for query -- てゆーか，quantifyしちゃうならMemoDeb.mguProgramsかなんかそのまま使えばいいって話もある．まあ，recursiveには上記のunifyableExprsを呼ばなきゃダメだけど． -- なお，厳密な意味でmatchにするにはどうもquantifyは必要っぽい． --matchProgs :: (Int, Memo) -> Type -> BF AnnExpr matchProgs :: Expression e => (Int,MemoDeb e) -> Type -> Matrix AnnExpr matchProgs memodeb ty = fmap (toAnnExprWindWind (reducer $ PGSF $ snd memodeb) ty) $ lmt memodeb $ normalize $ unquantify ty -- こっちだとlookup {- matchProgs memodeb ty = fmap toAnnExpr $ wind (fmap (mapCE Lambda)) (lookupFuns memodeb) [] (quantify ty) -- こっちだとrecompute というと語弊がある．recomputeしたきゃlmtのところを変えるべし． -- matchProgsのみの下請け，matchFunsと交換可能 lookupFuns :: (Expression e, Ord e) => (Int, MemoDeb e) -> [Type] -> Type -> BF e lookupFuns memodeb@(memodepth,((_,mt),_,tcl,rtrie)) avail reqret = {- #ifdef CLASSIFY fmap fromAnnExpr $ toRc $ filterDM tcl rtrie ty $ fromRc $ fmap (toAnnExprWind ty) $ #endif -} -- mapDepth uniqSort $ matchFuns memodeb avail reqret where ty = popArgs avail reqret -} specializedPossibleTypes :: Expression e => Type -> (Int, MemoDeb e) -> Recomp Type specializedPossibleTypes ty memodeb = runPS (fmap (\(av,t) -> popArgs av t) $ specializedTypes memodeb [] ty) -- specializedPossibleTypes ty memodeb@(_,((mt,_),_,_,_)) = fmap (\(_,s,_) -> apply s ty) $ toRc $ lmtty mt ty type MemoDeb e = (MemoTrie e, (([Prim],[Prim]),([Prim],[Prim])), Common) -- TyConLibは[Typed [CoreExpr]]から自前で作るべき．場合によってはLinsCCLとかとTyConLibを共有できなくなるかも知れないけど，それはそれでOK．か？ やっぱ自前で作るのはLIBRARYのケースのみにしておくか． -- あ，てゆーか，[Typed [CoreExpr]]を作るのにTyConLibが必要． -- むしろ，[([CoreExpr],TypeRep)]からTyConLibと[Typed [CoreExpr]]を作る感じで． -- maxBound使うと多分効率悪いけど，まあ面倒だしいいか． maxBound' = maxBound -- Setting this to some small value can sometimes be helpful when seeing the heap behavior. mkTrieOptSF :: Expression e => Common -> [Typed [CoreExpr]] -> [Typed [CoreExpr]] -> MemoDeb e mkTrieOptSF cmn txsopt txs = let memoDeb = (memoTrie, (qtlopt,qtl), cmn) -- memoTrie :: MemoTrie memoTrie = (typeTrie,expTrie) typeTrie = mkMTty (tcl cmn) (\ty -> freezePS ty (specTypes (maxBound', memoDeb) ty)) expTrie = mkMTexp (tcl cmn) (\ty -> filtBF cmn ty $ matchFunctions (maxBound', memoDeb) ty) in memoDeb where qtlopt = splitPrims txsopt qtl = splitPrims txs dbToCumulativeMx :: (Ord a) => DBound a -> Matrix a -- dbToCumulativeMx (DB f) = Mx $ map (map fst . f) [0..] dbToCumulativeMx (DB f) = let foo = map (sort . map fst . f) [0..] in Mx $ zipWith (diffSortedBy compare) foo ([]:foo) -- in Mx $ zipWith (\\) foo ([]:foo) mkMTty = mkMT mkMTexp = mkMT mondepth = zipDepthRc (\d xs -> trace ("depth="++show d++", and the length is "++show (length xs)) xs) -- depthと表示するなら+1するべきであった．(0から始まるので) type BFT = Recomp unBFM = unMx {- freezePS :: (Search m, Expression e) => Type -> PriorSubsts m (ExpTip e) -> Matrix (ExpTip e,Subst,Int) freezePS ty ps = let mxty = maxVarID ty -- `max` maximum (map maxVarID avail) in Mx $ map (tokoro10ap ty) $ scanl1 (++) $ unMx $ toMx $ unPS ps emptySubst (mxty+1) -} freezePS :: Type -> PriorSubsts DBound (ExpTip e) -> Matrix (ExpTip e,Subst,Int) freezePS ty ps = let mxty = maxVarID ty -- `max` maximum (map maxVarID avail) in mapDepth (tokoro10ap ty) $ toMx $ fmap fst $ Rc $ unDB $ unPS ps emptySubst (mxty+1) -- MemoStingy.tokoro10 is different from T10.tokoro10, in that duplicates will be removed. -- (Note that the type can be specialized to [(Type,k,i)] -> [(Type,k,i)]) tokoro10 :: (Eq k, Ord k) => [(a,k,i)] -> [(a,k,i)] tokoro10 = mergesortWithBy const (\ (_,k,_) (_,l,_) -> k `compare` l) -- tokoro10fstfst = mergesortWithBy const (\ ((k,_),_,_) ((l,_),_,_) -> k `compare` l) tokoro10ap :: Type -> [(a,Subst,i)] -> [(a,Subst,i)] tokoro10ap ty = mergesortWithBy const (\ (_,k,_) (_,l,_) -> normalize (apply k ty) `compare` normalize (apply l ty)) -- availにしろTypeにしろapplyされている． -- だからこそ，runAnotherPS的にemptySubstに対して実行した方が効率的なはず？ でも，Substitutionってそんなにでかくならなかったのでは？FiniteMapでもassoc listでも変わらなかった気が． specializedTypes :: (Search m, Expression e) => (Int, MemoDeb e) -> [Type] -> Type -> PriorSubsts m ([Type],Type) specializedTypes memodeb avail t = do specializedCases memodeb avail t subst <- getSubst return (map (apply subst) avail, apply subst t) -- specializedCases is the same as unifyableExprs, except that the latter returns PriorSubsts BF [CoreExpr], and that the latter considers memodepth. specializedCases, specCases, specCases' :: (Search m, Expression e) => (Int, MemoDeb e) -> [Type] -> Type -> PriorSubsts m () specializedCases memodeb = applyDo (specCases memodeb) specCases (_,memodeb) = wind_ (\avail reqret -> reorganize_ (\newavail -> uniExprs_ (maxBound',memodeb) newavail reqret) avail) {- どっちがわかりやすいかは不明 specCases memodeb avail (t0:->t1) = specCases memodeb (t0 : avail) t1 specCases (_,memodeb) avail reqret = reorganize_ (\newavail -> uniExprs_ (maxBound',memodeb) newavail reqret) avail -} uniExprs_ :: (Search m, Expression e) => (Int, MemoDeb e) -> [Type] -> Type -> PriorSubsts m () uniExprs_ memodeb avail t = convertPS fromRc $ psListToPSRecomp lfp where lfp depth | memocond depth = lookupUniExprs memodeb avail t depth >> return () | otherwise = makeUniExprs memodeb avail t depth >> return () lookupUniExprs :: Expression e => (Int, MemoDeb e) -> [Type] -> Type -> Int -> PriorSubsts [] (ExpTip e) lookupUniExprs memodeb@(_,((mt,_),_,_)) avail t depth = lookupNormalized (\tn -> unMx (lmtty mt tn) !! depth) avail t makeUniExprs :: Expression e => (Int, MemoDeb e) -> [Type] -> Type -> Int -> PriorSubsts [] Type makeUniExprs memodeb avail t depth = convertPS tokoro10fst $ do psRecompToPSList (reorganize_ (\av -> specCases' memodeb av t) avail) depth sub <- getSubst return $ quantify (apply sub $ popArgs avail t) {- makeUniExprs_ memodeb@(_,(_, _, tcl, rtrie)) avail t depth = t10PS (popArgs avail t) $ psRecompToPSList (specCases' memodeb avail t) depth t10PS :: Type -> PriorSubsts [] a -> PriorSubsts [] () t10PS ty ps = do convertPS tokoro10fst $ do ps sub <- getSubst return (apply sub ty) return () -- ここでは同じ型になるものをまとめている訳だが， -- - ここでまとめた方が速いのか，そんなことをせずに単にpsRecompToPSList (specCases' memodeb avail t) depthを使う方が速いのか -- - typetrieにmemoizeするときもちゃんとまとめているのか， -- 調べるべし．特に，typetrieでまとめていないからヒープが増えているのかも． -} -- entry point for memoization specTypes :: (Search m, Expression e) => (Int, MemoDeb e) -> Type -> PriorSubsts m (ExpTip e) specTypes memodeb@(_,((_,mt),_,_)) ty = do let (avail,t) = splitArgs ty reorganize_ (\av -> specCases' memodeb av t) avail -- quantifyはmemo先で既にやられているので不要 typ <- applyPS ty return (lmt memodeb $ normalize $ unquantify typ) funApSub_ :: Search m => (Type -> PriorSubsts m ()) -> (Type -> PriorSubsts m ()) -> Type -> PriorSubsts m () funApSub_ lltbehalf behalf (t:>ts) = do lltbehalf t funApSub_ lltbehalf behalf ts funApSub_ lltbehalf behalf (t:->ts) = do behalf t funApSub_ lltbehalf behalf ts funApSub_ lltbehalf behalf _t = return () funApSub_spec behalf = funApSub_ behalf behalf -- specCases' trie prims@(primgen,primmono) avail reqret = msum (map (retMono.fromPrim) primmono) `mplus` msum (map retMono fromAvail ++ map retGen primgen) specCases' memodeb@(_,((ttrie,etrie), (prims@(primgen,primmono),_),cmn)) avail reqret = msum (map retPrimMono primmono ++ map retMono avail ++ map retGen primgen) where fas | constrL $ opt cmn = funApSub_ lltbehalf behalf | otherwise = funApSub_spec behalf where behalf = specializedCases memodeb avail lltbehalf = flip mguAssumptions_ avail -- retPrimMono :: (Int, Type, Int, Typed [CoreExpr]) -> PriorSubsts BFT () retPrimMono (arity, retty, numtvs, _xs:::ty) = napply arity delayPS $ do tvid <- reserveTVars numtvs mguPS reqret (mapTV (tvid+) retty) fas (mapTV (tvid+) ty) -- retMono :: Type -> PriorSubsts BFT () retMono ty = napply (getArity ty) delayPS $ do mguPS reqret (getRet ty) fas ty -- retGen :: (Int, Type, Int, Typed [CoreExpr]) -> PriorSubsts BFT () retGen (arity, _r, numtvs, _s:::ty) = napply arity delayPS $ do tvid <- reserveTVars numtvs -- この（最初の）IDそのもの（つまり返り値のtvID）はすぐに使われなくなる -- let typ = apply (unitSubst tvid reqret) (mapTV (tvid+) ty) -- mapTVとapplyはhylo-fusionできるはずだが，勝手にされる？ -- -- unitSubstをinlineにしないと駄目か mkSubsts tvid reqret fas (mapTV (tvid+) ty) gentvar <- applyPS (TV tvid) guard (orderedAndUsedArgs gentvar) fas gentvar type Generator m e = (Int,MemoDeb e) -> [Type] -> Type -> PriorSubsts m [e] unifyableExprs :: Expression e => Generator DBound e unifyableExprs memodeb avails ty = convertPS fromRc $ unifyableExprs' memodeb avails ty unifyableExprs' :: Expression e => Generator Recomp e unifyableExprs' memodeb = applyDo (wind (fmap (map (mapCE Lambda))) (lookupNormalized (lookupTypeTrie memodeb))) lookupTypeTrie :: Expression e => (Int, MemoDeb e) -> Type -> Recomp ([e], Subst, Int) lookupTypeTrie memodeb@(_, ((mt,_), _, _)) t = Rc $ \depth -> let Mx xss = lmtty mt t in [ (yss!!depth, s, i) | (Mx yss, s, i) <- xss !! depth ] lookupNormalized :: MonadPlus m => (Type -> m (e, Subst, Int)) -> [Type] -> Type -> PriorSubsts m e lookupNormalized fun avail t = do mx <- getMx let typ = popArgs avail t (tn, decoder) = encode typ mx (es, sub, m) <- mkPS (fun tn) updatePS (retrieve decoder sub) updateMx (m+) return es tokoro10fst :: (Eq k, Ord k) => [(k,s,i)] -> [(k,s,i)] tokoro10fst = mergesortWithBy const (\ (k,_,_) (l,_,_) -> k `compare` l) -- entry for memoization matchFunctions :: Expression e => (Int, MemoDeb e) -> Type -> DBound e matchFunctions memodeb ty = case splitArgs (quantify ty) of (avail,t) -> matchFuns memodeb avail t matchFuns :: Expression e => (Int,MemoDeb e) -> [Type] -> Type -> DBound e matchFuns memodeb avail reqret = catBags $ runPS (matchFuns' unifyableExprs memodeb avail reqret) matchFuns' :: (Search m, Expression e) => Generator m e -> Generator m e -- matchFuns' = generateFuns matchPS filtExprs lookupListrie -- MemoDebの型の違いでこれはうまくいかなんだ． matchFuns' rec memodeb@(_, md@(_, (_,(primgen,primmono)),cmn)) avail reqret = let behalf = rec memodeb avail lltbehalf = lookupListrie lenavails rec memodeb avail -- heuristic filtration lenavails = length avail -- fe :: Type -> Type -> [CoreExpr] -> [CoreExpr] -- ^ heuristic filtration fe = filtExprs (guess $ opt cmn) in fromAssumptions (PGSF md) lenavails behalf matchPS reqret avail `mplus` msum (map (retPrimMono (PGSF md) lenavails lltbehalf behalf matchPS reqret) primmono ++ map (( if tv0 $ opt cmn then retGenTV0 else if tv1 $ opt cmn then retGenTV1 else retGenOrd) (PGSF md) lenavails fe lltbehalf behalf reqret) primgen) lookupListrie :: (Search m, Expression e) => Int -> Generator m e -> Generator m e lookupListrie lenavails rec memodeb@(_,md@(_,_,cmn)) avail t | constrL opts = matchAssumptions (PGSF md) lenavails t avail | guess opts = do args <- rec memodeb avail t let args' = filter (not.isClosed.toCE) args when (null args') mzero return args' | otherwise = rec memodeb avail t where opts = opt cmn filtExprs :: Expression e => Bool -> Type -> Type -> [e] -> [e] filtExprs g a b | g = filterExprs a b | otherwise = id \end{code}