1{-# LANGUAGE TypeFamilies, FlexibleContexts, FlexibleInstances, MultiParamTypeClasses, RankNTypes, GADTs, ScopedTypeVariables, FunctionalDependencies, RecursiveDo, UndecidableInstances, GeneralizedNewtypeDeriving, StandaloneDeriving, EmptyDataDecls, NoMonomorphismRestriction, TypeOperators, DeriveDataTypeable, PackageImports, TemplateHaskell, LambdaCase, DataKinds, PolyKinds #-}
2module Reflex.Dynamic ( Dynamic -- Abstract so we can preserve the law that the current value is always equal to the most recent update
25 , distributeDMapOverDyn
34 -- Things that probably aren't very useful:
37 , distributeFHListOverDyn
42import Prelude hiding (mapM, mapM_)
45import Data.Functor.Misc
47import Control.Monad hiding (mapM, mapM_, forM, forM_)
48import Control.Monad.Fix
49import Control.Monad.Identity hiding (mapM, mapM_, forM, forM_)
51import Data.Traversable (mapM, forM)
54import qualified Data.Map as Map
55import Data.Dependent.Map (DMap)
56import qualified Data.Dependent.Map as DMap
57import Data.Dependent.Sum (DSum (..))
58import Data.GADT.Compare (GCompare (..), GEq (..), (:~:) (..), GOrdering (..))
60--import Data.HList (HList (..), hBuild)
62data HList (l::[*]) where
64 HCons :: e -> HList l -> HList (e ': l)
68type family HRevApp (l1 :: [k]) (l2 :: [k]) :: [k]
69type instance HRevApp '[] l = l
70type instance HRevApp (e ': l) l' = HRevApp l (e ': l')
72hRevApp :: HList l1 -> HList l2 -> HList (HRevApp l1 l2)
74hRevApp (HCons x l) l' = hRevApp l (HCons x l')
76hReverse :: HList l -> HList (HRevApp l '[])
77hReverse l = hRevApp l HNil
79hBuild :: (HBuild' '[] r) => r
82class HBuild' l r where
83 hBuild' :: HList l -> r
85instance (l' ~ HRevApp l '[])
86 => HBuild' l (HList l') where
87 hBuild' l = hReverse l
89instance HBuild' (a ': l) r
90 => HBuild' l (a->r) where
91 hBuild' l x = hBuild' (HCons x l)
93-- | A container for a value that can change over time and allows notifications on changes.
94-- Basically a combination of a 'Behavior' and an 'Event', with a rule that the Behavior will
95-- change if and only if the Event fires.
97 = Dynamic (Behavior t a) (Event t a)
99unsafeDynamic :: Behavior t a -> Event t a -> Dynamic t a
100unsafeDynamic = Dynamic
102-- | Extract the 'Behavior' of a 'Dynamic'.
103current :: Dynamic t a -> Behavior t a
104current (Dynamic b _) = b
106-- | Extract the 'Event' of the 'Dynamic'.
107updated :: Dynamic t a -> Event t a
108updated (Dynamic _ e) = e
110-- | 'Dynamic' with the constant supplied value.
111constDyn :: Reflex t => a -> Dynamic t a
112constDyn x = Dynamic (constant x) never
114-- | Create a 'Dynamic' using the initial value that changes every
115-- time the 'Event' occurs.
116holdDyn :: MonadHold t m => a -> Event t a -> m (Dynamic t a)
121-- | Create a new 'Dynamic' that only signals changes if the values
123nubDyn :: (Reflex t, Eq a) => Dynamic t a -> Dynamic t a
125 let e' = attachWithMaybe (\x x' -> if x' == x then Nothing else Just x') (current d) (updated d)
126 in Dynamic (current d) e' --TODO: Avoid invalidating the outgoing Behavior
129instance Reflex t => Functor (Dynamic t) where
131 let e' = fmap f $ updated d
132 eb' = push (\b' -> liftM Just $ constant b') e'
133 b0 = fmap f $ current d
137-- | Map a function over a 'Dynamic'.
138mapDyn :: (Reflex t, MonadHold t m) => (a -> b) -> Dynamic t a -> m (Dynamic t b)
139mapDyn f = mapDynM $ return . f
141-- | Flipped version of 'mapDyn'.
142forDyn :: (Reflex t, MonadHold t m) => Dynamic t a -> (a -> b) -> m (Dynamic t b)
145-- | Map a monadic function over a 'Dynamic'. The only monadic action that the given function can
146-- perform is 'sample'.
147{-# INLINE mapDynM #-}
148mapDynM :: forall t m a b. (Reflex t, MonadHold t m) => (forall m'. MonadSample t m' => a -> m' b) -> Dynamic t a -> m (Dynamic t b)
150 let e' = push (liftM Just . f :: a -> PushM t (Maybe b)) $ updated d
151 eb' = fmap constant e'
152 v0 = pull $ f =<< sample (current d)
153 bb' :: Behavior t (Behavior t b) <- hold v0 eb'
154 let b' = pull $ sample =<< sample bb'
155 return $ Dynamic b' e'
157-- | Create a 'Dynamic' using the initial value and change it each
158-- time the 'Event' occurs using a folding function on the previous
159-- value and the value of the 'Event'.
160foldDyn :: (Reflex t, MonadHold t m, MonadFix m) => (a -> b -> b) -> b -> Event t a -> m (Dynamic t b)
161foldDyn f = foldDynMaybe $ \o v -> Just $ f o v
163-- | Create a 'Dynamic' using the initial value and change it each
164-- time the 'Event' occurs using a monadic folding function on the
165-- previous value and the value of the 'Event'.
166foldDynM :: (Reflex t, MonadHold t m, MonadFix m) => (a -> b -> PushM t b) -> b -> Event t a -> m (Dynamic t b)
167foldDynM f = foldDynMaybeM $ \o v -> liftM Just $ f o v
169foldDynMaybe :: (Reflex t, MonadHold t m, MonadFix m) => (a -> b -> Maybe b) -> b -> Event t a -> m (Dynamic t b)
170foldDynMaybe f = foldDynMaybeM $ \o v -> return $ f o v
172foldDynMaybeM :: (Reflex t, MonadHold t m, MonadFix m) => (a -> b -> PushM t (Maybe b)) -> b -> Event t a -> m (Dynamic t b)
173foldDynMaybeM f z e = do
174 rec let e' = flip push e $ \o -> do
178 return $ Dynamic b' e'
180-- | Create a new 'Dynamic' that counts the occurences of the 'Event'.
181count :: (Reflex t, MonadHold t m, MonadFix m, Num b) => Event t a -> m (Dynamic t b)
182count e = holdDyn 0 =<< zipListWithEvent const (iterate (+1) 1) e
184-- | Create a new 'Dynamic' using the initial value that flips its
185-- value every time the 'Event' occurs.
186toggle :: (Reflex t, MonadHold t m, MonadFix m) => Bool -> Event t a -> m (Dynamic t Bool)
187toggle = foldDyn (const not)
189-- | Switches to the new 'Event' whenever it receives one. Switching
190-- occurs *before* the inner 'Event' fires - so if the 'Dynamic' changes and both the old and new
191-- inner Events fire simultaneously, the output will fire with the value of the *new* 'Event'.
192switchPromptlyDyn :: forall t a. Reflex t => Dynamic t (Event t a) -> Event t a
193switchPromptlyDyn de =
194 let eLag = switch $ current de
195 eCoincidences = coincidence $ updated de
196 in leftmost [eCoincidences, eLag]
200mergeEventsWith :: Reflex t m => (a -> a -> a) -> Event t a -> Event t a -> m (Event t a)
201mergeEventsWith f ea eb = mapE (mergeThese f) =<< alignEvents ea eb
203firstE :: (Reflex t m) => [Event t a] -> m (Event t a)
204firstE [] = return never
205firstE (h:t) = mergeEventsLeftBiased h =<< firstE t
207concatEventsWith :: (Reflex t m) => (a -> a -> a) -> [Event t a] -> m (Event t a)
208concatEventsWith _ [] = return never
209concatEventsWith _ [e] = return e
210concatEventsWith f es = mapEM (liftM (foldl1 f . map (\(Const2 _ :=> v) -> v) . DMap.toList) . sequenceDmap) <=< mergeEventDMap $ DMap.fromList $ map (\(k, v) -> WrapArg (Const2 k) :=> v) $ zip [0 :: Int ..] es
211--concatEventsWith f (h:t) = mergeEventsWith f h =<< concatEventsWith f t
213mconcatE :: (Reflex t m, Monoid a) => [Event t a] -> m (Event t a)
214mconcatE = concatEventsWith mappend
217-- | Split the 'Dynamic' into two 'Dynamic's, each taking the
218-- respective value of the tuple.
219splitDyn :: (Reflex t, MonadHold t m) => Dynamic t (a, b) -> m (Dynamic t a, Dynamic t b)
220splitDyn d = liftM2 (,) (mapDyn fst d) (mapDyn snd d)
222-- | Merge the 'Dynamic' values using their 'Monoid' instance.
223mconcatDyn :: forall t m a. (Reflex t, MonadHold t m, Monoid a) => [Dynamic t a] -> m (Dynamic t a)
225 ddm :: Dynamic t (DMap (Const2 Int a)) <- distributeDMapOverDyn $ DMap.fromList $ map (\(k, v) -> WrapArg (Const2 k) :=> v) $ zip [0 :: Int ..] es
226 mapDyn (mconcat . map (\(Const2 _ :=> v) -> v) . DMap.toList) ddm
228-- | Create a 'Dynamic' with a 'DMap' of values out of a 'DMap' of
230distributeDMapOverDyn :: forall t m k. (Reflex t, MonadHold t m, GCompare k) => DMap (WrapArg (Dynamic t) k) -> m (Dynamic t (DMap k))
231distributeDMapOverDyn dm = case DMap.toList dm of
232 [] -> return $ constDyn DMap.empty
233 [WrapArg k :=> v] -> mapDyn (DMap.singleton k) v
235 let edmPre = merge $ rewrapDMap updated dm
236 edm :: Event t (DMap k) = flip push edmPre $ \o -> return . Just =<< do
238 This origDyn -> sample $ current origDyn
239 That _ -> error "distributeDMapOverDyn: should be impossible to have an event occurring that is not present in the original DMap"
240 These _ (Identity newVal) -> return newVal
241 sequenceDmap $ combineDMapsWithKey f dm (wrapDMap Identity o)
242 dm0 :: Behavior t (DMap k) = pull $ do
243 liftM DMap.fromList $ forM (DMap.toList dm) $ \(WrapArg k :=> dv) -> liftM (k :=>) $ sample $ current dv
244 bbdm :: Behavior t (Behavior t (DMap k)) <- hold dm0 $ fmap constant edm
245 let bdm = pull $ sample =<< sample bbdm
246 return $ Dynamic bdm edm
248-- | Merge two 'Dynamic's into a new one using the provided
249-- function. The new 'Dynamic' changes its value each time one of the
250-- original 'Dynamic's changes its value.
251combineDyn :: forall t m a b c. (Reflex t, MonadHold t m) => (a -> b -> c) -> Dynamic t a -> Dynamic t b -> m (Dynamic t c)
252combineDyn f da db = do
253 let eab = align (updated da) (updated db)
254 ec = flip push eab $ \o -> do
257 b <- sample $ current db
260 a <- sample $ current da
262 These a b -> return (a, b)
263 return $ Just $ f a b
264 c0 :: Behavior t c = pull $ liftM2 f (sample $ current da) (sample $ current db)
265 bbc :: Behavior t (Behavior t c) <- hold c0 $ fmap constant ec
266 let bc :: Behavior t c = pull $ sample =<< sample bbc
267 return $ Dynamic bc ec
270tagInnerDyn :: Reflex t => Event t (Dynamic t a) -> Event t a
272 let eSlow = push (liftM Just . sample . current) e
273 eFast = coincidence $ fmap updated e
274 in leftmost [eFast, eSlow]
277-- | Join a nested 'Dynamic' into a new 'Dynamic' that has the value
278-- of the inner 'Dynamic'.
279joinDyn :: forall t a. (Reflex t) => Dynamic t (Dynamic t a) -> Dynamic t a
281 let b' = pull $ sample . current =<< sample (current dd)
282 eOuter :: Event t a = pushAlways (sample . current) $ updated dd
283 eInner :: Event t a = switch $ fmap updated (current dd)
284 eBoth :: Event t a = coincidence $ fmap updated (updated dd)
285 e' = leftmost [eBoth, eOuter, eInner]
288--TODO: Generalize this to functors other than Maps
289-- | Combine a 'Dynamic' of a 'Map' of 'Dynamic's into a 'Dynamic'
290-- with the current values of the 'Dynamic's in a map.
291joinDynThroughMap :: forall t k a. (Reflex t, Ord k) => Dynamic t (Map k (Dynamic t a)) -> Dynamic t (Map k a)
292joinDynThroughMap dd =
293 let b' = pull $ mapM (sample . current) =<< sample (current dd)
294 eOuter :: Event t (Map k a) = pushAlways (mapM (sample . current)) $ updated dd
295 eInner :: Event t (Map k a) = attachWith (flip Map.union) b' $ switch $ fmap (mergeMap . fmap updated) (current dd) --Note: the flip is important because Map.union is left-biased
296 readNonFiring :: MonadSample t m => These (Dynamic t a) a -> m a
297 readNonFiring = \case
298 This d -> sample $ current d
300 These _ a -> return a
301 eBoth :: Event t (Map k a) = coincidence $ fmap (\m -> pushAlways (mapM readNonFiring . align m) $ mergeMap $ fmap updated m) (updated dd)
302 e' = leftmost [eBoth, eOuter, eInner]
305-- | Print the value of the 'Dynamic' on each change and prefix it
306-- with the provided string. This should /only/ be used for debugging.
308-- Note: Just like Debug.Trace.trace, the value will only be shown if something
309-- else in the system is depending on it.
310traceDyn :: (Reflex t, Show a) => String -> Dynamic t a -> Dynamic t a
311traceDyn s = traceDynWith $ \x -> s <> ": " <> show x
313-- | Print the result of applying the provided function to the value
314-- of the 'Dynamic' on each change. This should /only/ be used for
317-- Note: Just like Debug.Trace.trace, the value will only be shown if something
318-- else in the system is depending on it.
319traceDynWith :: Reflex t => (a -> String) -> Dynamic t a -> Dynamic t a
321 let e' = traceEventWith f $ updated d
322 in Dynamic (current d) e'
324-- | Replace the value of the 'Event' with the current value of the 'Dynamic'
325-- each time the 'Event' occurs.
327-- Note: `tagDyn d e` differs from `tag (current d) e` in the case that `e` is firing
328-- at the same time that `d` is changing. With `tagDyn d e`, the *new* value of `d`
329-- will replace the value of `e`, whereas with `tag (current d) e`, the *old* value
330-- will be used, since the 'Behavior' won't be updated until the end of the frame.
331-- Additionally, this means that the output 'Event' may not be used to directly change
332-- the input 'Dynamic', because that would mean its value depends on itself. When creating
333-- cyclic data flows, generally `tag (current d) e` is preferred.
334tagDyn :: Reflex t => Dynamic t a -> Event t b -> Event t a
335tagDyn = attachDynWith const
337-- | Attach the current value of the 'Dynamic' to the value of the
338-- 'Event' each time it occurs.
340-- Note: `attachDyn d` is not the same as `attach (current d)`. See 'tagDyn' for details.
341attachDyn :: Reflex t => Dynamic t a -> Event t b -> Event t (a, b)
342attachDyn = attachDynWith (,)
344-- | Combine the current value of the 'Dynamic' with the value of the
345-- 'Event' each time it occurs.
347-- Note: `attachDynWith f d` is not the same as `attachWith f (current d)`. See 'tagDyn' for details.
348attachDynWith :: Reflex t => (a -> b -> c) -> Dynamic t a -> Event t b -> Event t c
349attachDynWith f = attachDynWithMaybe $ \a b -> Just $ f a b
351-- | Create a new 'Event' by combining the value at each occurence
352-- with the current value of the 'Dynamic' value and possibly
353-- filtering if the combining function returns 'Nothing'.
355-- Note: `attachDynWithMaybe f d` is not the same as `attachWithMaybe f (current d)`. See 'tagDyn' for details.
356attachDynWithMaybe :: Reflex t => (a -> b -> Maybe c) -> Dynamic t a -> Event t b -> Event t c
357attachDynWithMaybe f d e =
358 let e' = attach (current d) e
359 in fforMaybe (align e' $ updated d) $ \case
360 This (a, b) -> f a b -- Only the tagging event is firing, so use that
361 These (_, b) a -> f a b -- Both events are firing, so use the newer value
362 That _ -> Nothing -- The tagging event isn't firing, so don't fire
364--------------------------------------------------------------------------------
366--------------------------------------------------------------------------------
368-- | Represents a time changing value together with an 'EventSelector'
369-- that can efficiently detect when the underlying Dynamic has a particular value.
370-- This is useful for representing data like the current selection of a long list.
373-- > getDemuxed (demux d) k === mapDyn (== k) d
374-- However, the when getDemuxed is used multiple times, the complexity is only /O(log(n))/,
375-- rather than /O(n)/ for mapDyn.
376data Demux t k = Demux { demuxValue :: Behavior t k
377 , demuxSelector :: EventSelector t (Const2 k Bool)
380-- | Demultiplex an input value to a 'Demux' with many outputs. At any given time, whichever output is indicated by the given 'Dynamic' will be 'True'.
381demux :: (Reflex t, Ord k) => Dynamic t k -> Demux t k
382demux k = Demux (current k) (fan $ attachWith (\k0 k1 -> if k0 == k1 then DMap.empty else DMap.fromList [Const2 k0 :=> False, Const2 k1 :=> True]) (current k) (updated k))
384--TODO: The pattern of using hold (sample b0) can be reused in various places as a safe way of building certain kinds of Dynamics; see if we can factor this out
385-- | Select a particular output of the 'Demux'; this is equivalent to (but much faster than)
386-- mapping over the original 'Dynamic' and checking whether it is equal to the given key.
387getDemuxed :: (Reflex t, MonadHold t m, Eq k) => Demux t k -> k -> m (Dynamic t Bool)
389 let e = select (demuxSelector d) (Const2 k)
390 bb <- hold (liftM (==k) $ sample $ demuxValue d) $ fmap return e
391 let b = pull $ join $ sample bb
394--------------------------------------------------------------------------------
396--------------------------------------------------------------------------------
398--TODO: This whole section is badly in need of cleanup
401 FHNil :: FHList f '[]
402 FHCons :: f e -> FHList f l -> FHList f (e ': l)
404instance GEq (HListPtr l) where
405 HHeadPtr `geq` HHeadPtr = Just Refl
406 HHeadPtr `geq` HTailPtr _ = Nothing
407 HTailPtr _ `geq` HHeadPtr = Nothing
408 HTailPtr a `geq` HTailPtr b = a `geq` b
410instance GCompare (HListPtr l) where -- Warning: This ordering can't change, dmapTo*HList will break
411 HHeadPtr `gcompare` HHeadPtr = GEQ
412 HHeadPtr `gcompare` HTailPtr _ = GLT
413 HTailPtr _ `gcompare` HHeadPtr = GGT
414 HTailPtr a `gcompare` HTailPtr b = a `gcompare` b
416data HListPtr l a where
417 HHeadPtr :: HListPtr (h ': t) h
418 HTailPtr :: HListPtr t a -> HListPtr (h ': t) a
420fhlistToDMap :: forall f l. FHList f l -> DMap (WrapArg f (HListPtr l))
421fhlistToDMap = DMap.fromList . go
422 where go :: forall l'. FHList f l' -> [DSum (WrapArg f (HListPtr l'))]
425 FHCons h t -> (WrapArg HHeadPtr :=> h) : map (\(WrapArg p :=> v) -> WrapArg (HTailPtr p) :=> v) (go t)
427class RebuildSortedHList l where
428 rebuildSortedFHList :: [DSum (WrapArg f (HListPtr l))] -> FHList f l
429 rebuildSortedHList :: [DSum (HListPtr l)] -> HList l
431instance RebuildSortedHList '[] where
432 rebuildSortedFHList l = case l of
434 _ : _ -> error "rebuildSortedFHList{'[]}: empty list expected"
435 rebuildSortedHList l = case l of
437 _ : _ -> error "rebuildSortedHList{'[]}: empty list expected"
439instance RebuildSortedHList t => RebuildSortedHList (h ': t) where
440 rebuildSortedFHList l = case l of
441 ((WrapArg HHeadPtr :=> h) : t) -> FHCons h $ rebuildSortedFHList $ map (\(WrapArg (HTailPtr p) :=> v) -> WrapArg p :=> v) t
442 _ -> error "rebuildSortedFHList{h':t}: non-empty list with HHeadPtr expected"
443 rebuildSortedHList l = case l of
444 ((HHeadPtr :=> h) : t) -> HCons h $ rebuildSortedHList $ map (\(HTailPtr p :=> v) -> p :=> v) t
445 _ -> error "rebuildSortedHList{h':t}: non-empty list with HHeadPtr expected"
447dmapToHList :: forall l. RebuildSortedHList l => DMap (HListPtr l) -> HList l
448dmapToHList = rebuildSortedHList . DMap.toList
450distributeFHListOverDyn :: forall t m l. (Reflex t, MonadHold t m, RebuildSortedHList l) => FHList (Dynamic t) l -> m (Dynamic t (HList l))
451distributeFHListOverDyn l = mapDyn dmapToHList =<< distributeDMapOverDyn (fhlistToDMap l)
453distributeFHListOverDyn l = do
455 c0 = pull $ sequenceFHList $ natMap (sample . current) l
456 bbc <- hold c0 $ fmap constant ec
457 let bc = pull $ sample =<< sample bbc
458 return $ Dynamic bc ec
461class AllAreFunctors (f :: a -> *) (l :: [a]) where
462 type FunctorList f l :: [*]
463 toFHList :: HList (FunctorList f l) -> FHList f l
464 fromFHList :: FHList f l -> HList (FunctorList f l)
466instance AllAreFunctors f '[] where
467 type FunctorList f '[] = '[]
468 toFHList l = case l of
470 _ -> error "toFHList: impossible" -- Otherwise, GHC complains of a non-exhaustive pattern match; see https://ghc.haskell.org/trac/ghc/ticket/4139
471 fromFHList FHNil = HNil
473instance AllAreFunctors f t => AllAreFunctors f (h ': t) where
474 type FunctorList f (h ': t) = f h ': FunctorList f t
475 toFHList l = case l of
476 a `HCons` b -> a `FHCons` toFHList b
477 _ -> error "toFHList: impossible" -- Otherwise, GHC complains of a non-exhaustive pattern match; see https://ghc.haskell.org/trac/ghc/ticket/4139
478 fromFHList (a `FHCons` b) = a `HCons` fromFHList b
480collectDyn :: ( RebuildSortedHList (HListElems b)
481 , IsHList a, IsHList b
482 , AllAreFunctors (Dynamic t) (HListElems b)
483 , Reflex t, MonadHold t m
484 , HListElems a ~ FunctorList (Dynamic t) (HListElems b)
485 ) => a -> m (Dynamic t b)
487 mapDyn fromHList =<< distributeFHListOverDyn (toFHList $ toHList ds)
491 type HListElems a :: [*]
492 toHList :: a -> HList (HListElems a)
493 fromHList :: HList (HListElems a) -> a
495instance IsHList (a, b) where
496 type HListElems (a, b) = [a, b]
497 toHList (a, b) = hBuild a b
498 fromHList l = case l of
499 a `HCons` b `HCons` HNil -> (a, b)
500 _ -> error "fromHList: impossible" -- Otherwise, GHC complains of a non-exhaustive pattern match; see https://ghc.haskell.org/trac/ghc/ticket/4139
502instance IsHList (a, b, c, d) where
503 type HListElems (a, b, c, d) = [a, b, c, d]
504 toHList (a, b, c, d) = hBuild a b c d
505 fromHList l = case l of
506 a `HCons` b `HCons` c `HCons` d `HCons` HNil -> (a, b, c, d)
507 _ -> error "fromHList: impossible" -- Otherwise, GHC complains of a non-exhaustive pattern match; see https://ghc.haskell.org/trac/ghc/ticket/4139
509instance IsHList (a, b, c, d, e, f) where
510 type HListElems (a, b, c, d, e, f) = [a, b, c, d, e, f]
511 toHList (a, b, c, d, e, f) = hBuild a b c d e f
512 fromHList l = case l of
513 a `HCons` b `HCons` c `HCons` d `HCons` e `HCons` f `HCons` HNil -> (a, b, c, d, e, f)
514 _ -> error "fromHList: impossible" -- Otherwise, GHC complains of a non-exhaustive pattern match; see https://ghc.haskell.org/trac/ghc/ticket/4139
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