diff --git a/ChangeLog.md b/ChangeLog.md new file mode 100644 --- /dev/null +++ b/ChangeLog.md @@ -0,0 +1,5 @@ +# Revision history for packed-multikey-map + +## 0.1.0.0 -- YYYY-mm-dd + +* First version. Released on an unsuspecting world. diff --git a/Data/Map/Multikey/Packed.hs b/Data/Map/Multikey/Packed.hs new file mode 100644 --- /dev/null +++ b/Data/Map/Multikey/Packed.hs @@ -0,0 +1,296 @@ +-- | +-- Module : Data.Map.Multikey.Packed +-- Copyright : (c) Justus Sagemüller 2017 +-- License : GPL v3 +-- +-- Maintainer : (@) jsagemue $ uni-koeln.de +-- Stability : experimental +-- Portability : portable +-- + +{-# LANGUAGE CPP #-} +{-# LANGUAGE TypeFamilies #-} +{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE UndecidableInstances #-} +{-# LANGUAGE ConstraintKinds #-} +{-# LANGUAGE DeriveFunctor #-} +{-# LANGUAGE DeriveFoldable #-} +{-# LANGUAGE DeriveTraversable #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE UnicodeSyntax #-} + +module Data.Map.Multikey.Packed + ( -- * Multikey maps + CMap + , empty + , fromList' + , toList + , lookup + -- * The class of supported keys + , Keys(..), KeyKey ) + where + +import Prelude hiding (lookup) + +import qualified Data.Vector as Arr +import qualified Data.Map as Map +import Data.Map (Map) +import Data.Constraint + +import Control.Monad +import Control.Monad.Trans.State +import Control.Arrow (first, second) +import Data.Function (on) +import Data.Ord (comparing) +import Data.List (sortBy, groupBy) + +import Data.Ratio (Ratio) +import Data.Word +import Data.Int +import Data.Void +#if MIN_VERSION_base(4,8,0) +import Numeric.Natural +#endif + +import qualified Test.QuickCheck as QC + + + +type KeyKey k = Either ( ( k -> (LSubkey k, RSubkey k) + , LSubkey k -> RSubkey k -> k ) + , (Dict (Keys (LSubkey k), Keys (RSubkey k))) ) + (Dict (Ord k)) + +class Eq k => Keys k where + type LSubkey k :: * + type LSubkey k = k + type RSubkey k :: * + type RSubkey k = k + useKeys :: KeyKey k + useKeys' :: proxy k -> KeyKey k + useKeys' _ = useKeys + +instance Keys Void where + useKeys = Right Dict +instance Keys () where + useKeys = Right Dict + +instance Keys Int where + useKeys = Right Dict +instance Keys Int8 where + useKeys = Right Dict +instance Keys Int16 where + useKeys = Right Dict +instance Keys Int32 where + useKeys = Right Dict +instance Keys Int64 where + useKeys = Right Dict +instance Keys Integer where + useKeys = Right Dict + +instance Keys Word where + useKeys = Right Dict +instance Keys Word8 where + useKeys = Right Dict +instance Keys Word16 where + useKeys = Right Dict +instance Keys Word32 where + useKeys = Right Dict +instance Keys Word64 where + useKeys = Right Dict +#if MIN_VERSION_base(4,8,0) +instance Keys Natural where + useKeys = Right Dict +#endif + +instance Keys Float where + useKeys = Right Dict +instance Keys Double where + useKeys = Right Dict +instance Integral a => Keys (Ratio a) where + useKeys = Right Dict + +instance Keys Char where + useKeys = Right Dict +instance Ord a => Keys [a] where + useKeys = Right Dict +instance Ord a => Keys (Maybe a) where + useKeys = Right Dict +instance (Ord a, Ord b) => Keys (Either a b) where + useKeys = Right Dict + +instance (Keys x, Keys y) => Keys (x,y) where + type LSubkey (x,y) = x + type RSubkey (x,y) = y + useKeys = Left ((id, (,)), Dict) +instance (Keys x, Keys y, Keys z) => Keys (x,y,z) where + type LSubkey (x,y,z) = x + type RSubkey (x,y,z) = (y,z) + useKeys = Left ((\(x,y,z)->(x,(y,z)), \x (y,z)->(x,y,z)), Dict) +instance (Keys x, Keys y, Keys z, Keys w) => Keys (x,y,z,w) where + type LSubkey (x,y,z,w) = (x,y) + type RSubkey (x,y,z,w) = (z,w) + useKeys = Left ((\(x,y,z,w)->((x,y),(z,w)), \(x,y) (z,w)->(x,y,z,w)), Dict) + + +-- | For keys of types like 'Int' or 'String', this container behaves just +-- like 'Map.Map'. But for compound types – tuples, in particular – it demands the +-- “rectangular property”: if the key @(p,x)@ is in the map and key @(q,y)@ too, +-- then keys @(q,x)@ and @(p,y)@ must be present as well. +-- +-- In other words, such a map can be visualised as a /table/ with all the keys +-- on two edges and the values in the middle, like, in case of +-- @'CMap' ('Int','String') 'Double'@, +-- +-- @ +-- "bla" "blub" "foo" +-- 0 3.8 4.1 2.0 +-- 1 3.9 6.3 6.3 +-- 5 1.0 11.6 2.2 +-- 43 54.1 10.0 10.1 +-- @ +data CMap k a + = FlatMap (Map k Int) (Arr.Vector a) + | MKeyMap (CMap (LSubkey k) Int) (CMap (RSubkey k) a) + deriving (Functor, Foldable) + +traverseCMap :: Applicative f => (a -> f b) -> CMap k a -> f (CMap k b) +traverseCMap f (FlatMap kks v) = FlatMap kks <$> traverse f v +traverseCMap f (MKeyMap msk lvs) = MKeyMap msk <$> traverseCMap f lvs + +instance Traversable (CMap k) where + traverse = traverseCMap + +size :: CMap k a -> Int +size (FlatMap k _) = Map.size k +size (MKeyMap msk lsv) = size msk * size lsv + +lookup :: Keys k => k -> CMap k a -> Maybe a +lookup = go 0 + where go :: Keys κ => Int -> κ -> CMap κ a -> Maybe a + go pix k m = case (useKeys, m) of + (Left ((splitKey,_), Dict), MKeyMap msk lsv) + | (x,y) <- splitKey k + , Just ix <- (pix * size msk +) <$> lookup x msk + -> go ix y lsv + (Right Dict, FlatMap kks v) + | Just i <- (pix * Map.size kks +) <$> Map.lookup k kks + , i <- Arr.length v + -> Just $ v Arr.! i + _ -> Nothing + +flatFromList :: Ord k => [(k, a)] -> CMap k a +flatFromList l = FlatMap kks v + where kks = fst <$> vsm + vsm = Map.fromAscList [ (k, (i,x)) + | (i,(k,x):_) <- zip [0..] . + groupBy ((==)`on`fst) $ sortBy (comparing fst) l ] + v = Arr.fromList $ snd . snd <$> Map.toList vsm + +overIndex :: Int -> CMap k a -> CMap k a +overIndex pix (FlatMap kks v) = FlatMap kks $ Arr.drop (pix * Map.size kks) v +overIndex pix (MKeyMap msk lsv) = MKeyMap msk $ overIndex (pix * size msk) lsv + +toList :: Keys k => CMap k a -> [(k,a)] +toList (FlatMap kks v) = second (v Arr.!) <$> Map.toList kks +toList (MKeyMap msk lsv) = case useKeys of + Left ((_, combineKeys), Dict) + -> [ (combineKeys lk rk, x) + | (lk, pix) <- toList msk + , (rk, x) <- toList $ overIndex pix lsv ] + +data KeyStructure k + = FlatKey (Map k ()) + | MultiKey (KeyStructure (LSubkey k)) (KeyStructure (RSubkey k)) +instance ∀ k . (Keys k) => Eq (KeyStructure k) where + x == y = case (useKeys, (x, y)) of + ( Left ( (_ :: k -> (LSubkey k, RSubkey k), _), Dict ) + ,(MultiKey lx rx, MultiKey ly ry)) + -> lx == ly && rx == ry + (Right Dict, (FlatKey kx, FlatKey ky)) + -> kx == ky + +keyStructure :: CMap k a -> KeyStructure k +keyStructure (FlatMap k _) = FlatKey $ const () <$> k +keyStructure (MKeyMap msk lsv) = MultiKey (keyStructure msk) (keyStructure lsv) + +empty :: ∀ k a . Keys k => CMap k a +empty = case useKeys' ([]::[k]) of + Left (_, Dict) -> MKeyMap empty empty + Right _ -> FlatMap Map.empty Arr.empty + +perfectConcat :: ∀ k a . Keys k => [CMap k a] -> Maybe (CMap k a) +perfectConcat [] = Just empty +perfectConcat ms@(_:_) + | allEq $ keyStructure <$> ms = Just $ cat ms + | otherwise = Nothing + where cat :: ∀ κ . [CMap κ a] -> CMap κ a + cat (MKeyMap msk lsv : qs) + = MKeyMap msk . cat $ lsv : map (\(MKeyMap _ lsw) -> lsw) qs + cat (FlatMap kks v : qs) + = FlatMap kks . Arr.concat $ v : map (\(FlatMap _ w) -> w) qs + +allEq :: Eq a => [a] -> Bool +allEq [] = True +allEq (x:xs) = all (==x) xs + +indices :: Traversable t => t a -> t Int +indices q = (`evalState`0) . forM q $ \_ -> state $ \i -> (i,i+1) + +-- | Build a map, if the given keys fulfill the /rectangular property/. +fromList' :: ∀ k a . Keys k => [(k, a)] -> Maybe (CMap k a) +fromList' l = case useKeys of + Left ((splitKey,_), Dict) -> do + let (lKeys, rKeys) = unzip [ ((kl,()), (kr,x)) + | (k,x) <- l + , let (kl,kr) = splitKey k ] + msk :: CMap (LSubkey k) () <- fromList' lKeys + lsv <- forM (toList msk) $ \(i,()) + -> fromList' $ first (snd . splitKey) + <$> filter ((==i) . fst . splitKey . fst) l + MKeyMap (indices msk) <$> perfectConcat lsv + Right Dict -> Just $ flatFromList l + +fromFlatMap :: ∀ k a . (Keys k, Ord k) => Map k a -> CMap k a +fromFlatMap μπ = case fromList' $ Map.toList μπ of + Just ζπ -> ζπ + +flatArb :: (Keys k, Ord k, QC.Arbitrary k, QC.Arbitrary v) => QC.Gen (CMap k v) +flatArb = fromFlatMap <$> QC.arbitrary + +splitArb :: ( Keys k + , QC.Arbitrary (CMap (LSubkey k) (Int->v)) + , QC.Arbitrary (CMap (RSubkey k) Int) ) + => QC.Gen (CMap k v) +splitArb = case useKeys of + Left ((_, combineKeys), Dict) -> do + lmargin <- QC.arbitrary + rmargin <- QC.arbitrary + let Just m = fromList' [ (combineKeys k l, f (x::Int)) + | (k,f) <- toList lmargin + , (l,x) <- toList rmargin ] + return m + +instance QC.Arbitrary v => QC.Arbitrary (CMap Int v) where arbitrary = flatArb +instance QC.Arbitrary v => QC.Arbitrary (CMap Integer v) where arbitrary = flatArb +instance QC.Arbitrary v => QC.Arbitrary (CMap Double v) where arbitrary = flatArb +instance QC.Arbitrary v => QC.Arbitrary (CMap Char v) where arbitrary = flatArb +instance (QC.Arbitrary c, Ord c, QC.Arbitrary v) => QC.Arbitrary (CMap [c] v) where arbitrary = flatArb + +type SplArb k l v = (QC.Arbitrary (CMap k (Int->v)), QC.Arbitrary (CMap l Int)) +instance (Keys k, Keys l, SplArb k l v) => QC.Arbitrary (CMap (k,l) v) where + arbitrary = splitArb +instance (Keys k, Keys l, Keys m, SplArb k (l,m) v) => QC.Arbitrary (CMap (k,l,m) v) where + arbitrary = splitArb +instance (Keys k, Keys l, Keys m, Keys n, SplArb (k,l) (m,n) v) => QC.Arbitrary (CMap (k,l,m,n) v) where + arbitrary = splitArb + + +instance (Show k, Keys k, Show a) => Show (CMap k a) where + showsPrec p m = showParen (p>9) $ ("fromList' "++) . showsPrec 11 (toList m) + +instance ∀ k a . (Keys k, Eq a) => Eq (CMap k a) where + FlatMap k v == FlatMap i w = k==i && v==w + MKeyMap k v == MKeyMap i w = case useKeys' ([]::[k]) of + Left (_, Dict) -> k==i && v==w diff --git a/LICENSE b/LICENSE new file mode 100644 --- /dev/null +++ b/LICENSE @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. By contrast, +the GNU General Public License is intended to guarantee your freedom to +share and change all versions of a program--to make sure it remains free +software for all its users. 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If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/Setup.hs b/Setup.hs new file mode 100644 --- /dev/null +++ b/Setup.hs @@ -0,0 +1,2 @@ +import Distribution.Simple +main = defaultMain diff --git a/packed-multikey-map.cabal b/packed-multikey-map.cabal new file mode 100644 --- /dev/null +++ b/packed-multikey-map.cabal @@ -0,0 +1,48 @@ +-- Initial packed-multikey-map.cabal generated by cabal init. For further +-- documentation, see http://haskell.org/cabal/users-guide/ + +name: packed-multikey-map +version: 0.1.0.0 +synopsis: Efficient “spreadsheet table” like maps with multiple marginals +-- description: +license: GPL-3 +license-file: LICENSE +author: Justus Sagemüller +maintainer: (@) jsagemue $ uni-koeln.de +homepage: https://github.com/leftaroundabout/packed-multikey-map +-- copyright: +category: Data +build-type: Simple +extra-source-files: ChangeLog.md +cabal-version: >=1.10 + +library + exposed-modules: Data.Map.Multikey.Packed + -- other-modules: + -- other-extensions: + build-depends: base >=4.7 && <4.11 + , vector >=0.9 && <0.13 + , containers >=0.5 && <0.6 + , constraints >=0.8 && <0.11 + , QuickCheck >=2.8 && <2.13 + , transformers + -- hs-source-dirs: + default-language: Haskell2010 + +test-suite test + default-language: + Haskell2010 + type: + exitcode-stdio-1.0 + hs-source-dirs: + test/tasty + main-is: + test.hs + ghc-options: "-with-rtsopts=-M500M" + build-depends: + base >= 4 && < 5 + , tasty >= 0.7 + , tasty-hunit + , tasty-quickcheck + , packed-multikey-map + diff --git a/test/tasty/test.hs b/test/tasty/test.hs new file mode 100644 --- /dev/null +++ b/test/tasty/test.hs @@ -0,0 +1,51 @@ +-- | +-- Module : Main +-- Copyright : (c) Justus Sagemüller 2017 +-- License : GPL v3 +-- +-- Maintainer : (@) sagemueller $ geo.uni-koeln.de +-- Stability : experimental +-- Portability : portable +-- + +module Main where + +import Data.Map.Multikey.Packed + +import Test.Tasty +import Test.Tasty.HUnit +import qualified Test.Tasty.QuickCheck as QC + + + +main = defaultMain tests + +tests :: TestTree +tests = testGroup "Tests" + [ testGroup "Simple list conversion" + [ testCase "Flat map" + $ (toList <$> fromList' [(0,'x'), (1,'y') :: (Int,Char)]) + @?= Just [(0,'x'), (1,'y')] + , testCase "Degerate flat map" + $ (toList <$> fromList' [(0,'x'), (0,'y') :: (Int,Char)]) + @?= Just [(0,'x')] + , testCase "Simple table" + $ (toList <$> fromList' + [ ((0,0),'x'), ((0,1),'y'), ((0,2),'p') + , ((1,0),'a'), ((1,1),'b'), ((1,2),'q') :: ((Int,Int),Char) ]) + @?= Just (zip [(i,j)|i<-[0,1],j<-[0..2]] "xypabq") + , testCase "Incomplete table" + $ (toList <$> fromList' + [ ((0,0),'x'), ((0,1),'y'), ((0,2),'p') + , ((1,0),'a'), ((1,2),'q') :: ((Int,Int),Char) ]) + @?= Nothing + , QC.testProperty "List conversion is reversible (Int/Int)" + $ \m -> fromList' (toList m) + == Just (m :: CMap Int Int) + , QC.testProperty "List conversion is reversible (Int²/Double)" + $ \m -> fromList' (toList m) + == Just (m :: CMap (Int,Int) Double) + ] + ] + +