-- | /Towards Haskell in the Cloud/ (Epstein et al, Haskell Symposium 2011) -- introduces the concept of /static/ values: values that are known at compile -- time. In a distributed setting where all nodes are running the same -- executable, static values can be serialized simply by transmitting a code -- pointer to the value. This however requires special compiler support, which -- is not yet available in ghc. We can mimick the behaviour by keeping an -- explicit mapping ('RemoteTable') from labels to values (and making sure that -- all distributed nodes are using the same 'RemoteTable'). In this module -- we implement this mimickry and various extensions. -- -- [Dynamic type checking] -- -- The paper stipulates that 'Static' values should have a free 'Binary' -- instance: -- -- > instance Binary (Static a) -- -- This however is not (runtime) type safe: for instance, what would be the -- behaviour of -- -- > f :: Static Int -> Static Bool -- > f = decode . encode -- -- For this reason we work only with 'Typeable' terms in this module, and -- implement runtime checks -- -- > instance Typeable a => Binary (Static a) -- -- The above function 'f' typechecks but throws an exception if executed. The -- type representation we use, however, is not the standard -- 'Data.Typeable.TypeRep' from "Data.Typeable" but -- 'Data.Rank1Typeable.TypeRep' from "Data.Rank1Typeable". This means that we -- can represent polymorphic static values (see below for an example). -- -- Since the runtime mapping ('RemoteTable') contains values of different types, -- it maps labels ('String's) to 'Data.Rank1Dynamic.Dynamic' values. Again, we -- use the implementation from "Data.Rank1Dynamic" so that we can store -- polymorphic dynamic values. -- -- [Compositionality] -- -- Static values as described in the paper are not compositional: there is no -- way to combine two static values and get a static value out of it. This -- makes sense when interpreting static strictly as /known at compile time/, -- but it severely limits expressiveness. However, the main motivation for -- 'static' is not that they are known at compile time but rather that -- /they provide a free/ 'Binary' /instance/. We therefore provide two basic -- constructors for 'Static' values: -- -- > staticLabel :: String -> Static a -- > staticApply :: Static (a -> b) -> Static a -> Static b -- -- The first constructor refers to a label in a 'RemoteTable'. The second -- allows to apply a static function to a static argument, and makes 'Static' -- compositional: once we have 'staticApply' we can implement numerous derived -- combinators on 'Static' values (we define a few in this module; see -- 'staticCompose', 'staticSplit', and 'staticConst'). -- -- [Closures] -- -- Closures in functional programming arise when we partially apply a function. -- A closure is a code pointer together with a runtime data structure that -- represents the value of the free variables of the function. A 'Closure' -- represents these closures explicitly so that they can be serialized: -- -- > data Closure a = Closure (Static (ByteString -> a)) ByteString -- -- See /Towards Haskell in the Cloud/ for the rationale behind representing -- the function closure environment in serialized ('ByteString') form. Any -- static value can trivially be turned into a 'Closure' ('staticClosure'). -- Moreover, since 'Static' is now compositional, we can also define derived -- operators on 'Closure' values ('closureApplyStatic', 'closureApply', -- 'closureCompose', 'closureSplit'). -- -- [Monomorphic example] -- -- Suppose we are working in the context of some distributed environment, with -- a monadic type 'Process' representing processes, 'NodeId' representing node -- addresses and 'ProcessId' representing process addresses. Suppose further -- that we have a primitive -- -- > sendInt :: ProcessId -> Int -> Process () -- -- We might want to define -- -- > sendIntClosure :: ProcessId -> Closure (Int -> Process ()) -- -- In order to do that, we need a static version of 'send', and a static -- decoder for 'ProcessId': -- -- > sendIntStatic :: Static (ProcessId -> Int -> Process ()) -- > sendIntStatic = staticLabel "$send" -- -- > decodeProcessIdStatic :: Static (ByteString -> Int) -- > decodeProcessIdStatic = staticLabel "$decodeProcessId" -- -- where of course we have to make sure to use an appropriate 'RemoteTable': -- -- > rtable :: RemoteTable -- > rtable = registerStatic "$send" (toDynamic sendInt) -- > . registerStatic "$decodeProcessId" (toDynamic (decode :: ByteString -> Int)) -- > $ initRemoteTable -- -- We can now define 'sendIntClosure': -- -- > sendIntClosure :: ProcessId -> Closure (Int -> Process ()) -- > sendIntClosure pid = closure decoder (encode pid) -- > where -- > decoder :: Static (ByteString -> Int -> Process ()) -- > decoder = sendIntStatic `staticCompose` decodeProcessIdStatic -- -- [Polymorphic example] -- -- Suppose we wanted to define a primitive -- -- > sendIntResult :: ProcessId -> Closure (Process Int) -> Closure (Process ()) -- -- which turns a process that computes an integer into a process that computes -- the integer and then sends it someplace else. -- -- We can define -- -- > bindStatic :: (Typeable a, Typeable b) => Static (Process a -> (a -> Process b) -> Process b) -- > bindStatic = staticLabel "$bind" -- -- provided that we register this label: -- -- > rtable :: RemoteTable -- > rtable = ... -- > . registerStatic "$bind" ((>>=) :: Process ANY1 -> (ANY1 -> Process ANY2) -> Process ANY2) -- > $ initRemoteTable -- -- (Note that we are using the special 'Data.Rank1Typeable.ANY1' and -- 'Data.Rank1Typeable.ANY2' types from "Data.Rank1Typeable" to represent this -- polymorphic value.) Once we have a static bind we can define -- -- > sendIntResult :: ProcessId -> Closure (Process Int) -> Closure (Process ()) -- > sendIntResult pid cl = bindStatic `closureApplyStatic` cl `closureApply` sendIntClosure pid -- -- [Dealing with qualified types] -- -- In the above we were careful to avoid qualified types. Suppose that we have -- instead -- -- > send :: Binary a => ProcessId -> a -> Process () -- -- If we now want to define 'sendClosure', analogous to 'sendIntClosure' above, -- we somehow need to include the 'Binary' instance in the closure -- after -- all, we can ship this closure someplace else, where it needs to accept an -- 'a', /then encode it/, and send it off. In order to do this, we need to turn -- the Binary instance into an explicit dictionary: -- -- > data BinaryDict a where -- > BinaryDict :: Binary a => BinaryDict a -- > -- > sendDict :: BinaryDict a -> ProcessId -> a -> Process () -- > sendDict BinaryDict = send -- -- Now 'sendDict' is a normal polymorphic value: -- -- > sendDictStatic :: Static (BinaryDict a -> ProcessId -> a -> Process ()) -- > sendDictStatic = staticLabel "$sendDict" -- > -- > rtable :: RemoteTable -- > rtable = ... -- > . registerStatic "$sendDict" (sendDict :: BinaryDict ANY -> ProcessId -> ANY -> Process ()) -- > $ initRemoteTable -- -- so that we can define -- -- > sendClosure :: Static (BinaryDict a) -> Process a -> Closure (a -> Process ()) -- > sendClosure dict pid = closure decoder (encode pid) -- > where -- > decoder :: Static (ByteString -> a -> Process ()) -- > decoder = (sendDictStatic `staticApply` dict) `staticCompose` decodeProcessIdStatic -- -- [Word of Caution] -- -- You should not /define/ functions on 'ANY' and co. For example, the following -- definition of 'rtable' is incorrect: -- -- > rtable :: RemoteTable -- > rtable = registerStatic "$sdictSendPort" sdictSendPort -- > $ initRemoteTable -- > where -- > sdictSendPort :: SerializableDict ANY -> SerializableDict (SendPort ANY) -- > sdictSendPort SerializableDict = SerializableDict -- -- This definition of 'sdictSendPort' ignores its argument completely, and -- constructs a 'SerializableDict' for the /monomorphic/ type @SendPort ANY@, -- which isn't what you want. Instead, you should do -- -- > rtable :: RemoteTable -- > rtable = registerStatic "$sdictSendPort" (sdictSendPort :: SerializableDict ANY -> SerializableDict (SendPort ANY)) -- > $ initRemoteTable -- > where -- > sdictSendPort :: forall a. SerializableDict a -> SerializableDict (SendPort a) -- > sdictSendPort SerializableDict = SerializableDict {-# LANGUAGE CPP #-} #if __GLASGOW_HASKELL__ >= 710 {-# LANGUAGE StaticPointers #-} #endif module Control.Distributed.Static ( -- * Static values Static , staticLabel , staticApply #if __GLASGOW_HASKELL__ >= 710 , staticPtr , staticApplyPtr #endif -- * Derived static combinators , staticCompose , staticSplit , staticConst , staticFlip -- * Closures , Closure , closure -- * Derived closure combinators , staticClosure , closureApplyStatic , closureApply , closureCompose , closureSplit -- * Resolution , RemoteTable , initRemoteTable , registerStatic , unstatic , unclosure ) where import Data.Binary ( Binary(get, put) , Put , Get , putWord8 , getWord8 , encode , decode ) import Data.ByteString.Lazy (ByteString, empty) #if ! MIN_VERSION_bytestring(0,10,0) import Data.ByteString.Lazy as BSL #endif import Data.Map (Map) import qualified Data.Map as Map (lookup, empty, insert) import Control.Applicative ((<$>), (<*>)) import Control.Arrow as Arrow ((***), app) import Control.DeepSeq (NFData(rnf), force) import Data.Rank1Dynamic (Dynamic, toDynamic, fromDynamic, dynApply) import Data.Rank1Typeable ( Typeable , typeOf , ANY1 , ANY2 , ANY3 , ANY4 , isInstanceOf #if __GLASGOW_HASKELL__ >= 710 , TypeRep #endif ) -- Imports necessary to support StaticPtr #if __GLASGOW_HASKELL__ >= 710 import qualified GHC.Exts as GHC (Any) import GHC.StaticPtr import GHC.Fingerprint.Type (Fingerprint(..)) import System.IO.Unsafe (unsafePerformIO) import Data.Rank1Dynamic (unsafeToDynamic) import Unsafe.Coerce (unsafeCoerce) #endif -------------------------------------------------------------------------------- -- Introducing static values -- -------------------------------------------------------------------------------- #if __GLASGOW_HASKELL__ >= 710 -- | Static dynamic values -- -- In the new proposal for static, the SPT contains these 'TypeRep's. -- In the current implemnentation however they do not, so we need to carry -- them ourselves. This is the TypeRep of @a@, /NOT/ of @StaticPtr a@. data SDynamic = SDynamic TypeRep (StaticPtr GHC.Any) deriving (Typeable) instance Show SDynamic where show (SDynamic typ ptr) = "<<static " ++ spInfoName (staticPtrInfo ptr) ++ " :: " ++ show typ ++ ">>" instance Eq SDynamic where SDynamic _ ptr1 == SDynamic _ ptr2 = staticKey ptr1 == staticKey ptr2 instance Ord SDynamic where SDynamic _ ptr1 `compare` SDynamic _ ptr2 = staticKey ptr1 `compare` staticKey ptr2 #endif data StaticLabel = StaticLabel String | StaticApply !StaticLabel !StaticLabel #if __GLASGOW_HASKELL__ >= 710 | StaticPtr SDynamic #endif deriving (Eq, Ord, Typeable, Show) instance NFData StaticLabel where rnf (StaticLabel s) = rnf s rnf (StaticApply a b) = rnf a `seq` rnf b -- There are no NFData instances for TypeRep or for StaticPtr :/ #if __GLASGOW_HASKELL__ >= 710 rnf (StaticPtr (SDynamic _a _b)) = () #endif -- | A static value. Static is opaque; see 'staticLabel' and 'staticApply'. newtype Static a = Static StaticLabel deriving (Eq, Ord, Typeable, Show) instance NFData (Static a) where rnf (Static s) = rnf s instance Typeable a => Binary (Static a) where put (Static label) = putStaticLabel label >> put (typeOf (undefined :: a)) get = do label <- getStaticLabel typeRep <- get case typeOf (undefined :: a) `isInstanceOf` typeRep of Left err -> fail $ "Static.get: type error: " ++ err Right () -> return (Static label) -- We don't want StaticLabel to be its own Binary instance putStaticLabel :: StaticLabel -> Put putStaticLabel (StaticLabel string) = putWord8 0 >> put string putStaticLabel (StaticApply label1 label2) = putWord8 1 >> putStaticLabel label1 >> putStaticLabel label2 #if __GLASGOW_HASKELL__ >= 710 putStaticLabel (StaticPtr (SDynamic typ ptr)) = let Fingerprint hi lo = staticKey ptr in putWord8 2 >> put typ >> put hi >> put lo #endif getStaticLabel :: Get StaticLabel getStaticLabel = do header <- getWord8 case header of 0 -> StaticLabel <$> get 1 -> StaticApply <$> getStaticLabel <*> getStaticLabel #if __GLASGOW_HASKELL__ >= 710 2 -> do typ <- get hi <- get lo <- get let key = Fingerprint hi lo case unsaferLookupStaticPtr key of Nothing -> fail "StaticLabel.get: invalid pointer" Just ptr -> return $ StaticPtr (SDynamic typ ptr) #endif _ -> fail "StaticLabel.get: invalid" #if __GLASGOW_HASKELL__ >= 710 -- | We need to be able to lookup keys outside of the IO monad so that we -- can provide a 'Get' instance. unsaferLookupStaticPtr :: StaticKey -> Maybe (StaticPtr a) unsaferLookupStaticPtr = unsafePerformIO . unsafeLookupStaticPtr #endif -- | Create a primitive static value. -- -- It is the responsibility of the client code to make sure the corresponding -- entry in the 'RemoteTable' has the appropriate type. staticLabel :: String -> Static a staticLabel = Static . StaticLabel . force -- | Apply two static values staticApply :: Static (a -> b) -> Static a -> Static b staticApply (Static f) (Static x) = Static (StaticApply f x) #if __GLASGOW_HASKELL__ >= 710 -- | Construct a static value from a static pointer -- -- Since 0.3.4.0. staticPtr :: forall a. Typeable a => StaticPtr a -> Static a staticPtr x = Static . StaticPtr $ SDynamic (typeOf (undefined :: a)) (unsafeCoerce x) -- | Apply a static pointer to a static value -- -- Since 0.3.4.0. staticApplyPtr :: (Typeable a, Typeable b) => StaticPtr (a -> b) -> Static a -> Static b staticApplyPtr = staticApply . staticPtr #endif -------------------------------------------------------------------------------- -- Eliminating static values -- -------------------------------------------------------------------------------- -- | Runtime dictionary for 'unstatic' lookups newtype RemoteTable = RemoteTable (Map String Dynamic) -- | Initial remote table initRemoteTable :: RemoteTable initRemoteTable = registerStatic "$compose" (toDynamic ((.) :: (ANY2 -> ANY3) -> (ANY1 -> ANY2) -> ANY1 -> ANY3)) . registerStatic "$const" (toDynamic (const :: ANY1 -> ANY2 -> ANY1)) . registerStatic "$split" (toDynamic ((***) :: (ANY1 -> ANY3) -> (ANY2 -> ANY4) -> (ANY1, ANY2) -> (ANY3, ANY4))) . registerStatic "$app" (toDynamic (app :: (ANY1 -> ANY2, ANY1) -> ANY2)) . registerStatic "$decodeEnvPair" (toDynamic (decode :: ByteString -> (ByteString, ByteString))) . registerStatic "$flip" (toDynamic (flip :: (ANY1 -> ANY2 -> ANY3) -> ANY2 -> ANY1 -> ANY3)) $ RemoteTable Map.empty -- | Register a static label registerStatic :: String -> Dynamic -> RemoteTable -> RemoteTable registerStatic label dyn (RemoteTable rtable) = RemoteTable (Map.insert label dyn rtable) -- Pseudo-type: RemoteTable -> Static a -> a resolveStaticLabel :: RemoteTable -> StaticLabel -> Either String Dynamic resolveStaticLabel (RemoteTable rtable) (StaticLabel label) = case Map.lookup label rtable of Nothing -> Left $ "Invalid static label '" ++ label ++ "'" Just d -> Right d resolveStaticLabel rtable (StaticApply label1 label2) = do f <- resolveStaticLabel rtable label1 x <- resolveStaticLabel rtable label2 f `dynApply` x #if __GLASGOW_HASKELL__ >= 710 resolveStaticLabel _ (StaticPtr (SDynamic typ ptr)) = return $ unsafeToDynamic typ (deRefStaticPtr ptr) #endif -- | Resolve a static value unstatic :: Typeable a => RemoteTable -> Static a -> Either String a unstatic rtable (Static label) = do dyn <- resolveStaticLabel rtable label fromDynamic dyn -------------------------------------------------------------------------------- -- Closures -- -------------------------------------------------------------------------------- -- | A closure is a static value and an encoded environment data Closure a = Closure !(Static (ByteString -> a)) !ByteString deriving (Eq, Ord, Typeable, Show) instance Typeable a => Binary (Closure a) where put (Closure dec env) = put dec >> put env get = Closure <$> get <*> get #if MIN_VERSION_bytestring(0,10,0) instance NFData (Closure a) where rnf (Closure f b) = rnf f `seq` rnf b #else instance NFData (Closure a) where rnf (Closure f b) = rnf f `seq` BSL.length b `seq` () #endif closure :: Static (ByteString -> a) -- ^ Decoder -> ByteString -- ^ Encoded closure environment -> Closure a closure = Closure -- | Resolve a closure unclosure :: Typeable a => RemoteTable -> Closure a -> Either String a unclosure rtable (Closure dec env) = do f <- unstatic rtable dec return (f env) -- | Convert a static value into a closure. staticClosure :: Typeable a => Static a -> Closure a staticClosure dec = closure (staticConst dec) empty -------------------------------------------------------------------------------- -- Predefined static values -- -------------------------------------------------------------------------------- -- | Static version of ('Prelude..') composeStatic :: (Typeable a, Typeable b, Typeable c) => Static ((b -> c) -> (a -> b) -> a -> c) composeStatic = staticLabel "$compose" -- | Static version of 'const' constStatic :: (Typeable a, Typeable b) => Static (a -> b -> a) constStatic = staticLabel "$const" -- | Static version of ('Arrow.***') splitStatic :: (Typeable a, Typeable a', Typeable b, Typeable b') => Static ((a -> b) -> (a' -> b') -> (a, a') -> (b, b')) splitStatic = staticLabel "$split" -- | Static version of 'Arrow.app' appStatic :: (Typeable a, Typeable b) => Static ((a -> b, a) -> b) appStatic = staticLabel "$app" -- | Static version of 'flip' flipStatic :: (Typeable a, Typeable b, Typeable c) => Static ((a -> b -> c) -> b -> a -> c) flipStatic = staticLabel "$flip" -------------------------------------------------------------------------------- -- Combinators on static values -- -------------------------------------------------------------------------------- -- | Static version of ('Prelude..') staticCompose :: (Typeable a, Typeable b, Typeable c) => Static (b -> c) -> Static (a -> b) -> Static (a -> c) staticCompose g f = composeStatic `staticApply` g `staticApply` f -- | Static version of ('Control.Arrow.***') staticSplit :: (Typeable a, Typeable a', Typeable b, Typeable b') => Static (a -> b) -> Static (a' -> b') -> Static ((a, a') -> (b, b')) staticSplit f g = splitStatic `staticApply` f `staticApply` g -- | Static version of 'Prelude.const' staticConst :: (Typeable a, Typeable b) => Static a -> Static (b -> a) staticConst x = constStatic `staticApply` x -- | Static version of 'Prelude.flip' staticFlip :: (Typeable a, Typeable b, Typeable c) => Static (a -> b -> c) -> Static (b -> a -> c) staticFlip f = flipStatic `staticApply` f -------------------------------------------------------------------------------- -- Combinators on Closures -- -------------------------------------------------------------------------------- -- | Apply a static function to a closure closureApplyStatic :: (Typeable a, Typeable b) => Static (a -> b) -> Closure a -> Closure b closureApplyStatic f (Closure decoder env) = closure (f `staticCompose` decoder) env decodeEnvPairStatic :: Static (ByteString -> (ByteString, ByteString)) decodeEnvPairStatic = staticLabel "$decodeEnvPair" -- | Closure application closureApply :: forall a b. (Typeable a, Typeable b) => Closure (a -> b) -> Closure a -> Closure b closureApply (Closure fdec fenv) (Closure xdec xenv) = closure decoder (encode (fenv, xenv)) where decoder :: Static (ByteString -> b) decoder = appStatic `staticCompose` (fdec `staticSplit` xdec) `staticCompose` decodeEnvPairStatic -- | Closure composition closureCompose :: (Typeable a, Typeable b, Typeable c) => Closure (b -> c) -> Closure (a -> b) -> Closure (a -> c) closureCompose g f = composeStatic `closureApplyStatic` g `closureApply` f -- | Closure version of ('Arrow.***') closureSplit :: (Typeable a, Typeable a', Typeable b, Typeable b') => Closure (a -> b) -> Closure (a' -> b') -> Closure ((a, a') -> (b, b')) closureSplit f g = splitStatic `closureApplyStatic` f `closureApply` g