filtrable 0.1.3.0 → 0.1.4.0
raw patch · 3 files changed
+372/−9 lines, 3 filesdep +transformersPVP ok
version bump matches the API change (PVP)
Dependencies added: transformers
API changes (from Hackage documentation)
+ Data.Filtrable: nub :: (Filtrable f, Traversable f, Eq a) => f a -> f a
+ Data.Filtrable: nubBy :: (Filtrable f, Traversable f) => (a -> a -> Bool) -> f a -> f a
+ Data.Filtrable: nubOrd :: (Filtrable f, Traversable f, Ord a) => f a -> f a
+ Data.Filtrable: nubOrdBy :: (Filtrable f, Traversable f) => (a -> a -> Ordering) -> f a -> f a
+ Data.Set.Private: Bin :: {-# UNPACK #-} !Size -> !a -> !Set a -> !Set a -> Set a
+ Data.Set.Private: Tip :: Set a
+ Data.Set.Private: data Set a
+ Data.Set.Private: empty :: Set a
+ Data.Set.Private: insertBy' :: (a -> a -> Ordering) -> a -> Set a -> Maybe (Set a)
+ Data.Set.Private: type Size = Int
Files
- Data/Filtrable.hs +45/−2
- Data/Set/Private.hs +312/−0
- filtrable.cabal +15/−7
Data/Filtrable.hs view
@@ -1,9 +1,14 @@-module Data.Filtrable (Filtrable (..), (<$?>), (<*?>)) where+module Data.Filtrable+ ( Filtrable (..)+ , (<$?>), (<*?>)+ , nub, nubBy, nubOrd, nubOrdBy+ ) where import Prelude hiding (filter) import Control.Applicative import Control.Monad+import qualified Control.Monad.Trans.State as M import Data.Bool (bool) import Data.Functor.Compose import Data.Functor.Product@@ -11,8 +16,12 @@ import Data.Proxy import Data.Traversable --- | Laws:+import qualified Data.Set.Private as Set++-- | Class of filtrable containers, i.e. containers we can map over while selectively dropping elements. --+-- Laws:+-- -- * @'mapMaybe' 'Just' = id@ -- -- * @'mapMaybe' f = 'catMaybes' ∘ 'fmap' f@@@ -29,29 +38,37 @@ class Functor f => Filtrable f where {-# MINIMAL mapMaybe | catMaybes #-} + -- | Map the container with the given function, dropping the elements for which it returns 'Nothing'. mapMaybe :: (a -> Maybe b) -> f a -> f b mapMaybe f = catMaybes . fmap f + -- | @'catMaybes' = 'mapMaybe' 'id'@ catMaybes :: f (Maybe a) -> f a catMaybes = mapMaybe id + -- | Drop the elements for which the given predicate is 'False'. filter :: (a -> Bool) -> f a -> f a filter f = mapMaybe ((<$) <*> guard . f) + -- | Traverse the container with the given function, dropping the elements for which it returns 'Nothing'. mapMaybeA :: (Traversable f, Applicative p) => (a -> p (Maybe b)) -> f a -> p (f b) mapMaybeA f xs = catMaybes <$> traverse f xs + -- | Drop the elements for which the given predicate is 'False'. filterA :: (Traversable f, Applicative p) => (a -> p Bool) -> f a -> p (f a) filterA f = mapMaybeA (\ x -> (x <$) . guard <$> f x) + -- | Map the container with the given function, collecting the 'Left's and the 'Right's separately. mapEither :: (a -> Either b c) -> f a -> (f b, f c) mapEither f = (,) <$> mapMaybe (either Just (pure Nothing) . f) <*> mapMaybe (either (pure Nothing) Just . f) + -- | Traverse the container with the given function, collecting the 'Left's and the 'Right's separately. mapEitherA :: (Traversable f, Applicative p) => (a -> p (Either b c)) -> f a -> p (f b, f c) mapEitherA f = liftA2 (,) <$> mapMaybeA (fmap (Just `either` pure Nothing) . f) <*> mapMaybeA (fmap (pure Nothing `either` Just) . f) + -- | @'partitionEithers' = 'mapEither' 'id'@ partitionEithers :: f (Either a b) -> (f a, f b) partitionEithers = mapEither id @@ -88,3 +105,29 @@ (<*?>) :: (Applicative p, Filtrable p) => p (a -> Maybe b) -> p a -> p b f <*?> a = catMaybes (f <*> a)++-- | \(\mathcal{O}(n^2)\)+-- Delete all but the first copy of each element, special case of 'nubBy'.+nub :: (Filtrable f, Traversable f, Eq a) => f a -> f a+nub = nubBy (==)++-- | \(\mathcal{O}(n^2)\)+-- Delete all but the first copy of each element, with the given relation.+nubBy :: (Filtrable f, Traversable f) => (a -> a -> Bool) -> f a -> f a+nubBy eq = fmap (flip M.evalState []) . filterA $ \ a -> do+ as <- M.get+ let b = all (not . eq a) as+ b <$ when b (M.modify (a:))++-- | \(\mathcal{O}(n^2)\)+-- Delete all but the first copy of each element, special case of 'nubOrdBy'.+nubOrd :: (Filtrable f, Traversable f, Ord a) => f a -> f a+nubOrd = nubOrdBy compare++-- | \(\mathcal{O}(n^2)\)+-- Delete all but the first copy of each element, with the given relation.+nubOrdBy :: (Filtrable f, Traversable f) => (a -> a -> Ordering) -> f a -> f a+nubOrdBy compare = fmap (flip M.evalState Set.empty) . filterA $ \ a -> M.state $ \ as ->+ case Set.insertBy' compare a as of+ Nothing -> (False, as)+ Just as' -> (True, as')
+ Data/Set/Private.hs view
@@ -0,0 +1,312 @@+{-# LANGUAGE CPP #-}+{-# LANGUAGE BangPatterns #-}+#if !defined(TESTING) && defined(__GLASGOW_HASKELL__)+{-# LANGUAGE Trustworthy #-}+#endif++{-# OPTIONS_HADDOCK not-home #-}++-----------------------------------------------------------------------------+-- |+-- Copyright : (c) Daan Leijen 2002+-- License : BSD-style+--+-- = WARNING+--+-- This module is considered __internal__.+--+-- The Package Versioning Policy __does not apply__.+--+-- This contents of this module may change __in any way whatsoever__+-- and __without any warning__ between minor versions of this package.+--+-- Authors importing this module are expected to track development+-- closely.+--+-- = Description+--+-- An efficient implementation of sets.+--+-- These modules are intended to be imported qualified, to avoid name+-- clashes with Prelude functions, e.g.+--+-- > import Data.Set (Set)+-- > import qualified Data.Set as Set+--+-- The implementation of 'Set' is based on /size balanced/ binary trees (or+-- trees of /bounded balance/) as described by:+--+-- * Stephen Adams, \"/Efficient sets: a balancing act/\",+-- Journal of Functional Programming 3(4):553-562, October 1993,+-- <http://www.swiss.ai.mit.edu/~adams/BB/>.+-- * J. Nievergelt and E.M. Reingold,+-- \"/Binary search trees of bounded balance/\",+-- SIAM journal of computing 2(1), March 1973.+--+-- Bounds for 'union', 'intersection', and 'difference' are as given+-- by+--+-- * Guy Blelloch, Daniel Ferizovic, and Yihan Sun,+-- \"/Just Join for Parallel Ordered Sets/\",+-- <https://arxiv.org/abs/1602.02120v3>.+--+-- Note that the implementation is /left-biased/ -- the elements of a+-- first argument are always preferred to the second, for example in+-- 'union' or 'insert'. Of course, left-biasing can only be observed+-- when equality is an equivalence relation instead of structural+-- equality.+--+-- /Warning/: The size of the set must not exceed @maxBound::Int@. Violation of+-- this condition is not detected and if the size limit is exceeded, the+-- behavior of the set is completely undefined.+--+-- @since 0.5.9+-----------------------------------------------------------------------------++-- [Note: Using INLINABLE]+-- ~~~~~~~~~~~~~~~~~~~~~~~+-- It is crucial to the performance that the functions specialize on the Ord+-- type when possible. GHC 7.0 and higher does this by itself when it sees th+-- unfolding of a function -- that is why all public functions are marked+-- INLINABLE (that exposes the unfolding).+++-- [Note: Using INLINE]+-- ~~~~~~~~~~~~~~~~~~~~+-- For other compilers and GHC pre 7.0, we mark some of the functions INLINE.+-- We mark the functions that just navigate down the tree (lookup, insert,+-- delete and similar). That navigation code gets inlined and thus specialized+-- when possible. There is a price to pay -- code growth. The code INLINED is+-- therefore only the tree navigation, all the real work (rebalancing) is not+-- INLINED by using a NOINLINE.+--+-- All methods marked INLINE have to be nonrecursive -- a 'go' function doing+-- the real work is provided.+++-- [Note: Type of local 'go' function]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+-- If the local 'go' function uses an Ord class, it sometimes heap-allocates+-- the Ord dictionary when the 'go' function does not have explicit type.+-- In that case we give 'go' explicit type. But this slightly decrease+-- performance, as the resulting 'go' function can float out to top level.+++-- [Note: Local 'go' functions and capturing]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+-- As opposed to IntSet, when 'go' function captures an argument, increased+-- heap-allocation can occur: sometimes in a polymorphic function, the 'go'+-- floats out of its enclosing function and then it heap-allocates the+-- dictionary and the argument. Maybe it floats out too late and strictness+-- analyzer cannot see that these could be passed on stack.++-- [Note: Order of constructors]+-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+-- The order of constructors of Set matters when considering performance.+-- Currently in GHC 7.0, when type has 2 constructors, a forward conditional+-- jump is made when successfully matching second constructor. Successful match+-- of first constructor results in the forward jump not taken.+-- On GHC 7.0, reordering constructors from Tip | Bin to Bin | Tip+-- improves the benchmark by up to 10% on x86.++module Data.Set.Private (+ -- * Set type+ Set(..) -- instance Eq,Ord,Show,Read,Data,Typeable+ , Size+ , insertBy'+ , empty+ ) where++import Prelude hiding (filter,foldl,foldr,null,map,take,drop,splitAt)+import Control.Monad (join)++#if __GLASGOW_HASKELL__+import GHC.Exts ( lazy )+#endif++{--------------------------------------------------------------------+ Sets are size balanced trees+--------------------------------------------------------------------}+-- | A set of values @a@.++-- See Note: Order of constructors+data Set a = Bin {-# UNPACK #-} !Size !a !(Set a) !(Set a) | Tip++type Size = Int++{--------------------------------------------------------------------+ Query+--------------------------------------------------------------------}+-- | /O(1)/. The number of elements in the set.+size :: Set a -> Int+size Tip = 0+size (Bin sz _ _ _) = sz++{--------------------------------------------------------------------+ Construction+--------------------------------------------------------------------}+-- | /O(1)/. The empty set.+empty :: Set a+empty = Tip++-- | /O(1)/. Create a singleton set.+singleton :: a -> Set a+singleton x = Bin 1 x Tip Tip++{--------------------------------------------------------------------+ Insertion, Deletion+--------------------------------------------------------------------}+-- | /O(log n)/. Insert an element in a set.+-- If the set already contains an element equal to the given value,+-- it is replaced with the new value.++-- See Note: Type of local 'go' function+-- See Note: Avoiding worker/wrapper (in Data.Map.Internal)+insertBy' :: (a -> a -> Ordering) -> a -> Set a -> Maybe (Set a)+insertBy' compare = join go+ where+ go orig !_ Tip = Just $! singleton (lazy orig)+ go orig !x (Bin _ y l r) = case compare x y of+ LT -> (\ !l' -> balanceL y l' r) <$!> go orig x l+ GT -> (\ !r' -> balanceR y l r') <$!> go orig x r+ EQ -> Nothing+#if __GLASGOW_HASKELL__+{-# INLINABLE insertBy' #-}+#else+{-# INLINE insertBy' #-}+#endif++infixl 4 <$!>+(<$!>) :: (a -> b) -> Maybe a -> Maybe b+(<$!>) f = \ case+ Nothing -> Nothing+ Just a -> Just $! f a++#ifndef __GLASGOW_HASKELL__+lazy :: a -> a+lazy a = a+#endif++{--------------------------------------------------------------------+ [balance x l r] balances two trees with value x.+ The sizes of the trees should balance after decreasing the+ size of one of them. (a rotation).++ [delta] is the maximal relative difference between the sizes of+ two trees, it corresponds with the [w] in Adams' paper.+ [ratio] is the ratio between an outer and inner sibling of the+ heavier subtree in an unbalanced setting. It determines+ whether a double or single rotation should be performed+ to restore balance. It is correspondes with the inverse+ of $\alpha$ in Adam's article.++ Note that according to the Adam's paper:+ - [delta] should be larger than 4.646 with a [ratio] of 2.+ - [delta] should be larger than 3.745 with a [ratio] of 1.534.++ But the Adam's paper is errorneous:+ - it can be proved that for delta=2 and delta>=5 there does+ not exist any ratio that would work+ - delta=4.5 and ratio=2 does not work++ That leaves two reasonable variants, delta=3 and delta=4,+ both with ratio=2.++ - A lower [delta] leads to a more 'perfectly' balanced tree.+ - A higher [delta] performs less rebalancing.++ In the benchmarks, delta=3 is faster on insert operations,+ and delta=4 has slightly better deletes. As the insert speedup+ is larger, we currently use delta=3.++--------------------------------------------------------------------}+delta,ratio :: Int+delta = 3+ratio = 2++-- The balance function is equivalent to the following:+--+-- balance :: a -> Set a -> Set a -> Set a+-- balance x l r+-- | sizeL + sizeR <= 1 = Bin sizeX x l r+-- | sizeR > delta*sizeL = rotateL x l r+-- | sizeL > delta*sizeR = rotateR x l r+-- | otherwise = Bin sizeX x l r+-- where+-- sizeL = size l+-- sizeR = size r+-- sizeX = sizeL + sizeR + 1+--+-- rotateL :: a -> Set a -> Set a -> Set a+-- rotateL x l r@(Bin _ _ ly ry) | size ly < ratio*size ry = singleL x l r+-- | otherwise = doubleL x l r+-- rotateR :: a -> Set a -> Set a -> Set a+-- rotateR x l@(Bin _ _ ly ry) r | size ry < ratio*size ly = singleR x l r+-- | otherwise = doubleR x l r+--+-- singleL, singleR :: a -> Set a -> Set a -> Set a+-- singleL x1 t1 (Bin _ x2 t2 t3) = bin x2 (bin x1 t1 t2) t3+-- singleR x1 (Bin _ x2 t1 t2) t3 = bin x2 t1 (bin x1 t2 t3)+--+-- doubleL, doubleR :: a -> Set a -> Set a -> Set a+-- doubleL x1 t1 (Bin _ x2 (Bin _ x3 t2 t3) t4) = bin x3 (bin x1 t1 t2) (bin x2 t3 t4)+-- doubleR x1 (Bin _ x2 t1 (Bin _ x3 t2 t3)) t4 = bin x3 (bin x2 t1 t2) (bin x1 t3 t4)+--+-- It is only written in such a way that every node is pattern-matched only once.+--+-- Only balanceL and balanceR are needed at the moment, so balance is not here anymore.+-- In case it is needed, it can be found in Data.Map.++-- Functions balanceL and balanceR are specialised versions of balance.+-- balanceL only checks whether the left subtree is too big,+-- balanceR only checks whether the right subtree is too big.++-- balanceL is called when left subtree might have been inserted to or when+-- right subtree might have been deleted from.+balanceL :: a -> Set a -> Set a -> Set a+balanceL x l r = case r of+ Tip -> case l of+ Tip -> Bin 1 x Tip Tip+ (Bin _ _ Tip Tip) -> Bin 2 x l Tip+ (Bin _ lx Tip (Bin _ lrx _ _)) -> Bin 3 lrx (Bin 1 lx Tip Tip) (Bin 1 x Tip Tip)+ (Bin _ lx ll@(Bin _ _ _ _) Tip) -> Bin 3 lx ll (Bin 1 x Tip Tip)+ (Bin ls lx ll@(Bin lls _ _ _) lr@(Bin lrs lrx lrl lrr))+ | lrs < ratio*lls -> Bin (1+ls) lx ll (Bin (1+lrs) x lr Tip)+ | otherwise -> Bin (1+ls) lrx (Bin (1+lls+size lrl) lx ll lrl) (Bin (1+size lrr) x lrr Tip)++ (Bin rs _ _ _) -> case l of+ Tip -> Bin (1+rs) x Tip r++ (Bin ls lx ll lr)+ | ls > delta*rs -> case (ll, lr) of+ (Bin lls _ _ _, Bin lrs lrx lrl lrr)+ | lrs < ratio*lls -> Bin (1+ls+rs) lx ll (Bin (1+rs+lrs) x lr r)+ | otherwise -> Bin (1+ls+rs) lrx (Bin (1+lls+size lrl) lx ll lrl) (Bin (1+rs+size lrr) x lrr r)+ (_, _) -> error "Failure in Data.Map.balanceL"+ | otherwise -> Bin (1+ls+rs) x l r+{-# NOINLINE balanceL #-}++-- balanceR is called when right subtree might have been inserted to or when+-- left subtree might have been deleted from.+balanceR :: a -> Set a -> Set a -> Set a+balanceR x l r = case l of+ Tip -> case r of+ Tip -> Bin 1 x Tip Tip+ (Bin _ _ Tip Tip) -> Bin 2 x Tip r+ (Bin _ rx Tip rr@(Bin _ _ _ _)) -> Bin 3 rx (Bin 1 x Tip Tip) rr+ (Bin _ rx (Bin _ rlx _ _) Tip) -> Bin 3 rlx (Bin 1 x Tip Tip) (Bin 1 rx Tip Tip)+ (Bin rs rx rl@(Bin rls rlx rll rlr) rr@(Bin rrs _ _ _))+ | rls < ratio*rrs -> Bin (1+rs) rx (Bin (1+rls) x Tip rl) rr+ | otherwise -> Bin (1+rs) rlx (Bin (1+size rll) x Tip rll) (Bin (1+rrs+size rlr) rx rlr rr)++ (Bin ls _ _ _) -> case r of+ Tip -> Bin (1+ls) x l Tip++ (Bin rs rx rl rr)+ | rs > delta*ls -> case (rl, rr) of+ (Bin rls rlx rll rlr, Bin rrs _ _ _)+ | rls < ratio*rrs -> Bin (1+ls+rs) rx (Bin (1+ls+rls) x l rl) rr+ | otherwise -> Bin (1+ls+rs) rlx (Bin (1+ls+size rll) x l rll) (Bin (1+rrs+size rlr) rx rlr rr)+ (_, _) -> error "Failure in Data.Map.balanceR"+ | otherwise -> Bin (1+ls+rs) x l r+{-# NOINLINE balanceR #-}
filtrable.cabal view
@@ -1,5 +1,5 @@ name: filtrable-version: 0.1.3.0+version: 0.1.4.0 synopsis: Class of filtrable containers homepage: https://github.com/strake/filtrable.hs license: BSD3@@ -9,16 +9,24 @@ category: Data build-type: Simple cabal-version: >=1.10-tested-with: GHC ==7.8.*,- GHC ==7.10.*,- GHC ==7.12.*,- GHC ==8.0.*+tested-with: GHC ==8.0.*+ GHC ==8.2.*+ GHC ==8.4.*+ GHC ==8.6.*+ GHC ==8.8.*+description:+ See "Data.Filtrable". library exposed-modules: Data.Filtrable- build-depends: base >=4.7 && <5+ other-modules:+ Data.Set.Private+ build-depends: base >=4.9 && <5+ , transformers >=0.5 && <0.6 default-language: Haskell2010- default-extensions: ConstrainedClassMethods+ default-extensions:+ LambdaCase+ ConstrainedClassMethods ghc-options: -Wall -Wcompat -Wredundant-constraints -Wno-name-shadowing -Wincomplete-record-updates -Wincomplete-uni-patterns -Werror=incomplete-patterns