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\ No newline at end of file diff --git a/benchmarks/retractFreeAp-71acf67-day-safe-large.png b/benchmarks/retractFreeAp-71acf67-day-safe-large.png new file mode 100644 index 0000000..c52cabc Binary files /dev/null and b/benchmarks/retractFreeAp-71acf67-day-safe-large.png differ diff --git a/bower.json b/bower.json index a216df0..d84249a 100644 --- a/bower.json +++ b/bower.json @@ -8,5 +8,8 @@ "purescript-applicative-lists": "^0.1.0", "purescript-const": "^2.0.0", "purescript-day": "^7.0.0" + }, + "resolutions": { + "purescript-lists": "^3.0.0" } } diff --git a/src/FreeApStackSafe.purs b/src/FreeApStackSafe.purs new file mode 100644 index 0000000..3332717 --- /dev/null +++ b/src/FreeApStackSafe.purs @@ -0,0 +1,152 @@ +module FreeApStackSafe + ( FreeAp + , liftFreeAp + , retractFreeAp + , foldFreeAp + , hoistFreeAp + , analyzeFreeAp + ) where + +import Prelude +import Data.Const (Const(..)) +import Data.Either (Either(..)) +import Data.List (List(..)) +import Data.List.NonEmpty as NEL +import Data.Monoid (class Monoid) +import Data.Newtype (unwrap) +import Data.NonEmpty ((:|)) +import Data.Tuple (Tuple(..)) +import Unsafe.Coerce (unsafeCoerce) + +-- NOTE is not in the version of ps-list this lib depends on +consNEL :: forall a. a -> NEL.NonEmptyList a -> NEL.NonEmptyList a +consNEL y (NEL.NonEmptyList (x :| xs)) = NEL.NonEmptyList (y :| (Cons x xs)) + + +-- | The free applicative functor for a type constructor `f`. +data FreeAp f a + = Pure a + | Lift (f a) + | Ap (FreeAp f (Val -> a)) (FreeAp f Val) + +data Val + +-- | Lift a value described by the type constructor `f` into +-- | the free applicative functor. +liftFreeAp :: forall f a. f a -> FreeAp f a +liftFreeAp = Lift + +type ApFunc g = { func :: g (Val -> Val), count :: Int } +type FuncStack g = List (ApFunc g) +type ValStack f = NEL.NonEmptyList (FreeAp f Val) +type Stack f g = Tuple (FuncStack g) (ValStack f) + +-- | Run a free applicative functor with a natural transformation from +-- | the type constructor `f` to the applicative functor `g`. +foldFreeAp :: forall f g a. Applicative g => (f ~> g) -> FreeAp f a -> g a +foldFreeAp nat z = + unsafeToG $ go $ Tuple Nil (NEL.singleton $ unsafeToFVal z) + where + unsafeToG :: g Val -> g a + unsafeToG = unsafeCoerce + + unsafeToFVal :: forall f' a'. FreeAp f' a' -> FreeAp f' Val + unsafeToFVal = unsafeCoerce + + go :: Stack f g -> g Val + go stck@(Tuple fStack (NEL.NonEmptyList (val :| vals))) = + let zzz = stck + in case val of + Pure a -> case goApply fStack vals (pure a) of + Left x -> x + Right s -> go s + Lift a -> case goApply fStack vals (nat a) of + Left x -> x + Right s -> go s + Ap l r -> + let nextVals = NEL.NonEmptyList (r :| vals) + in go $ goLeft fStack nextVals nat l 1 + +goApply + :: forall f g + . Applicative g + => FuncStack g + -> List (FreeAp f Val) + -> g Val + -> Either (g Val) (Stack f g) +goApply fStack vals gVal = + case fStack of + Nil -> Left gVal + Cons f fs -> + let gRes = f.func <*> gVal + in if f.count == 1 then + case fs of + Nil -> + -- here vals must be empty + Left gRes + _ -> goApply fs vals gRes + else + case vals of + Nil -> Left gRes + Cons val vals' -> + Right $ Tuple + (Cons { func: unsafeToGFunc gRes, count: f.count - 1 } fs) + (NEL.NonEmptyList (val :| vals')) + where + unsafeToGFunc :: g Val -> g (Val -> Val) + unsafeToGFunc = unsafeCoerce + +goLeft + :: forall f g + . Applicative g + => FuncStack g + -> ValStack f + -> (f ~> g) + -> FreeAp f (Val -> Val) + -> Int + -> Stack f g +goLeft fStack valStack nat func count = case func of + Pure a -> Tuple (Cons { func: pure a, count } fStack) valStack + Lift a -> Tuple (Cons { func: nat a, count } fStack) valStack + Ap l r -> goLeft fStack (consNEL r valStack) nat (unsafeToFunc l) (count + 1) + where + unsafeToFunc :: FreeAp f (Val -> Val -> Val) -> FreeAp f (Val -> Val) + unsafeToFunc = unsafeCoerce + +-- | Run a free applicative functor using the applicative instance for +-- | the type constructor `f`. +retractFreeAp :: forall f a. Applicative f => FreeAp f a -> f a +retractFreeAp = foldFreeAp id + +-- | Natural transformation from `FreeAp f a` to `FreeAp g a` given a +-- | natural transformation from `f` to `g`. +hoistFreeAp :: forall f g a. (f ~> g) -> FreeAp f a -> FreeAp g a +hoistFreeAp f = foldFreeAp (f >>> liftFreeAp) + +-- | Perform monoidal analysis over the free applicative functor `f`. +analyzeFreeAp :: forall f m a. Monoid m => (forall b. f b -> m) -> FreeAp f a -> m +analyzeFreeAp k = unwrap <<< foldFreeAp (Const <<< k) + +mkAp :: forall f a b. FreeAp f (b -> a) -> FreeAp f b -> FreeAp f a +mkAp fba fb = Ap (coerceFunc fba) (coerceValue fb) + where + coerceFunc :: FreeAp f (b -> a) -> FreeAp f (Val -> a) + coerceFunc = unsafeCoerce + + coerceValue :: FreeAp f b -> FreeAp f Val + coerceValue = unsafeCoerce + +instance functorFreeAp :: Functor (FreeAp f) where + map f x = mkAp (Pure f) x + +instance applyFreeAp :: Apply (FreeAp f) where + apply fba fb = mkAp fba fb + +instance applicativeFreeAp :: Applicative (FreeAp f) where + pure = Pure + +instance showFreeAp :: Show (FreeAp f a) where + show = case _ of + Pure a -> "(Pure Val)" + Lift f -> "(Lift F)" + Ap l r -> "(Ap " <> show l <> " " <> show r <> ")" diff --git a/src/Main.purs b/src/Main.purs index 8e2ac03..f233981 100644 --- a/src/Main.purs +++ b/src/Main.purs @@ -20,14 +20,16 @@ import FreeAp9ccd7db as FreeApOld import FreeAp71acf67 as FreeApNew +import FreeApStackSafe as FreeApStackSafe + import FreeApDay as FreeApDay trials :: Int trials = 1 -benchRetractFreeAp :: Int -> String -> Benchmark -benchRetractFreeAp size label = mkBenchmark - { slug: "retractFreeAp-71acf67-9ccd7db-day-" <> toLower label +benchRetractFreeAp :: Boolean -> Int -> String -> Benchmark +benchRetractFreeAp shouldRunOld size label = mkBenchmark + { slug: "retractFreeAp-71acf67" <> (if shouldRunOld then "-9ccd7db" else "") <> "-day-safe-" <> toLower label , title: "retractFreeAp (sequence [ FreeAp f a, ..., FreeAp f z ]) - " <> label , sizes: (1..20) <#> (_ * size) , sizeInterpretation: "Number of elements in the array" @@ -35,23 +37,31 @@ benchRetractFreeAp size label = mkBenchmark , gen: \n -> { old: _ , new: _ , day: _ + , safe: _ } <$> vectorOf n (pure (FreeApOld.liftFreeAp (Identity unit))) <*> vectorOf n (pure (FreeApNew.liftFreeAp (Identity unit))) <*> vectorOf n (pure (FreeApDay.liftFreeAp (Identity unit))) - , functions: [ benchFn "FreeAp Old @ 9ccd7db" (\a -> FreeApOld.retractFreeAp (sequence a.old)) - , benchFn "FreeAp New @ 71acf67" (\a -> FreeApNew.retractFreeAp (sequence a.new)) + <*> vectorOf n (pure (FreeApStackSafe.liftFreeAp (Identity unit))) + , functions: [ benchFn "FreeAp New @ 71acf67" (\a -> FreeApNew.retractFreeAp (sequence a.new)) , benchFn "FreeAp Day" (\a -> FreeApDay.retractFreeAp (sequence a.day)) - ] + , benchFn "FreeAp stacksafe" (\a -> FreeApStackSafe.retractFreeAp (sequence a.safe)) + ] <> oldBench } + where + oldBench = + if shouldRunOld then + [ benchFn "FreeAp Old @ 9ccd7db" (\a -> FreeApOld.retractFreeAp (sequence a.old)) ] + else [] type A = { old :: Array (FreeApOld.FreeAp Identity Unit) , new :: Array (FreeApNew.FreeAp Identity Unit) , day :: Array (FreeApDay.FreeAp Identity Unit) + , safe :: Array (FreeApStackSafe.FreeAp Identity Unit) } -benchFoldFreeAp :: Int -> String -> Benchmark -benchFoldFreeAp size label = mkBenchmark - { slug: "foldFreeAp-71acf67-9ccd7db-day-" <> toLower label +benchFoldFreeAp :: Boolean -> Boolean -> Int -> String -> Benchmark +benchFoldFreeAp shouldRunOld shouldRunDay size label = mkBenchmark + { slug: "foldFreeAp-71acf67" <> (if shouldRunOld then "-9ccd7db" else "") <> (if shouldRunDay then "-day" else "")<> "-safe-" <> toLower label , title: "foldFreeAp (a -> a) (k <$> FreeAp f a <* FreeAp f b <* ... <* FreeAp f z) - " <> label , sizes: (1..12) <#> (_ * size) , sizeInterpretation: "Number of elements in the array" @@ -59,27 +69,45 @@ benchFoldFreeAp size label = mkBenchmark , gen: \n -> { old: _ , new: _ , day: _ + , safe: _ } <$> vectorOf n (pure (FreeApOld.liftFreeAp (Identity unit))) <*> vectorOf n (pure (FreeApNew.liftFreeAp (Identity unit))) <*> vectorOf n (pure (FreeApDay.liftFreeAp (Identity unit))) - , functions: [ benchFn "FreeAp Old @ 9ccd7db" (\(a :: A) -> - maybe (pure unit) - (\{head, tail} -> FreeApOld.foldFreeAp (\a' -> a') (id <$> (foldl (\x y -> x <* y) head tail))) - (uncons a.old)) - , benchFn "FreeAp New @ 71acf67" (\(a :: A) -> + <*> vectorOf n (pure (FreeApStackSafe.liftFreeAp (Identity unit))) + , functions: [ benchFn "FreeAp New @ 71acf67" (\(a :: A) -> maybe (pure unit) (\{head, tail} -> FreeApNew.foldFreeAp (\a' -> a') (id <$> (foldl (\x y -> x <* y) head tail))) (uncons a.new)) - , benchFn "FreeAp Day" (\(a :: A) -> + , benchFn "FreeAp stacksafe" (\(a :: A) -> maybe (pure unit) - (\{head, tail} -> FreeApDay.foldFreeAp (\a' -> a') (id <$> (foldl (\x y -> x <* y) head tail))) - (uncons a.day)) - ] + (\{head, tail} -> FreeApStackSafe.foldFreeAp (\a' -> a') (id <$> (foldl (\x y -> x <* y) head tail))) + (uncons a.safe)) + ] <> dayBench <> oldBench } + where + dayBench = + if shouldRunDay then + [ benchFn "FreeAp Day" (\(a :: A) -> + maybe (pure unit) + (\{head, tail} -> FreeApDay.foldFreeAp (\a' -> a') (id <$> (foldl (\x y -> x <* y) head tail))) + (uncons a.day)) + ] + else [] + oldBench = + if shouldRunOld then + [ benchFn "FreeAp Old @ 9ccd7db" (\(a :: A) -> + maybe (pure unit) + (\{head, tail} -> FreeApOld.foldFreeAp (\a' -> a') (id <$> (foldl (\x y -> x <* y) head tail))) + (uncons a.old)) + ] + else [] main :: forall eff. Eff (BenchEffects eff) Unit -main = runSuite [ benchRetractFreeAp 2 "Small" - , benchFoldFreeAp 1 "Small" - , benchRetractFreeAp 100 "Large" - , benchFoldFreeAp 10 "Large" +main = runSuite [ benchRetractFreeAp true 2 "Small" + , benchFoldFreeAp true true 1 "Small" + , benchRetractFreeAp true 100 "Large" + , benchRetractFreeAp false 125 "Large" + , benchFoldFreeAp true true 10 "Large" + , benchFoldFreeAp false true 180 "Large" + , benchFoldFreeAp false false 250 "Large" ]