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It is very usefull when implementing some lo-level operations, allowing to traverse different elements using Haskell's type classes. +-- description: +license: Apache-2.0 +license-file: LICENSE +author: Wojciech Danilo +maintainer: Wojciech Danilo +stability: experimental +homepage: https://github.com/wdanilo/rtuple +bug-reports: https://github.com/wdanilo/rtuple/issues +copyright: Copyright (C) 2014 Wojciech Danilo +category: Text +build-type: Simple +-- extra-source-files: +cabal-version: >=1.10 + + +Library + hs-source-dirs: src + ghc-options: -Wall -O2 + default-language: Haskell2010 + + default-extensions: ConstraintKinds + DataKinds + DefaultSignatures + DeriveDataTypeable + DeriveFoldable + DeriveFunctor + DeriveGeneric + DeriveTraversable + DoAndIfThenElse + EmptyDataDecls + FlexibleContexts + FlexibleInstances + GeneralizedNewtypeDeriving + InstanceSigs + LambdaCase + MultiParamTypeClasses + OverloadedStrings + StandaloneDeriving + TemplateHaskell + TupleSections + TypeOperators + ViewPatterns + TypeFamilies + + exposed-modules: Data.RTuple + + build-depends: base >=4.6 && <4.9 + , typelevel + , lens diff --git a/src/Data/RTuple.hs b/src/Data/RTuple.hs new file mode 100644 --- /dev/null +++ b/src/Data/RTuple.hs @@ -0,0 +1,216 @@ +{-# LANGUAGE NoMonomorphismRestriction #-} + +{-# LANGUAGE TypeOperators #-} +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE FunctionalDependencies #-} +{-# LANGUAGE GADTs #-} +{-# LANGUAGE UndecidableInstances #-} +{-# LANGUAGE OverlappingInstances #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TupleSections #-} +{-# LANGUAGE RankNTypes #-} +{-# LANGUAGE PolyKinds #-} + +module Data.RTuple where + +import Prelude hiding (head, tail, map) +import Data.Typeable +import GHC.TypeLits +import Unsafe.Coerce (unsafeCoerce) +import Type.Bool +import Control.Lens +import Control.Lens.Wrapped + +---------------------------------------------------------------------------------- +-- RTuple +---------------------------------------------------------------------------------- + +data RTuple a = RTuple { fromRTuple :: a } deriving (Eq, Ord) + +data TList (t :: *) a = TList { fromTList :: a } deriving (Eq, Ord) + + +--type family +--type family RTupData rt where RTupData (RTuple a) = a + +--infixr 0 // +--(//) = (,) + +-- === Wrapper === + +instance Wrapped (RTuple a) where + type Unwrapped (RTuple a) = a + _Wrapped' = iso fromRTuple RTuple + +instance Wrapped (TList t a) where + type Unwrapped (TList t a) = a + _Wrapped' = iso fromTList TList + + +-- === Show === + +class ShowRtup r where + showRtup :: String -> r -> String + +instance ShowRtup () where + showRtup _ _ = "" + +instance Show a => ShowRtup (a,()) where + showRtup _ (a,()) = show a + +instance (Show a, ShowRtup as) => ShowRtup (a,as) where + showRtup sep (a,as) = show a ++ sep ++ showRtup sep as + +instance ShowRtup a => Show (RTuple a) where + show (RTuple a) = "RTuple (" ++ showRtup ", " a ++ ")" + +-- === Head === + +type family HeadOf a + +type instance HeadOf (RTuple (r,rs)) = r +type instance HeadOf (TList a l) = a + +class Head a where + head :: Lens' a (HeadOf a) + +instance Head (RTuple (r,rs)) where head = lens (fst . view _Wrapped') (\(RTuple (_,rs)) r -> RTuple (r,rs)) +instance (a ~ r) => Head (TList a (r,rs)) where head = lens (fst . view _Wrapped') (\(TList (_,rs)) r -> TList (r,rs)) + +-- === Tail === + +type family TailOf a + +type instance TailOf (RTuple (r,rs)) = RTuple rs +type instance TailOf (TList a (r,rs)) = TList a rs + +class Tail a where + tail :: Lens' a (TailOf a) + +instance Tail (RTuple (r,rs)) where tail = lens (\(RTuple (r,rs)) -> RTuple rs) (\(RTuple (r,_)) (RTuple rs) -> RTuple (r,rs)) +instance Tail (TList a (r,rs)) where tail = lens (\(TList (r,rs)) -> TList rs) (\(TList (r,_)) (TList rs) -> TList (r,rs)) + + +-- === UncurryTuple === + +-- |converts function taking a tuple list as argument into standard haskell one +-- eg. `(a,(b,(c,()))) -> out` into `a -> b -> c -> out` +class UncurryTuple f out | f -> out where + uncurryTuple :: f -> out + +instance UncurryTuple (RTuple () -> a) a where + uncurryTuple f = f $ RTuple () + +instance UncurryTuple (RTuple xs -> f) fout => UncurryTuple (RTuple (x,xs) -> f) (x -> fout) where + uncurryTuple f = (\x -> uncurryTuple $ f . RTuple . (x,) . fromRTuple) + + +-- === ToRTup === + +type family AsRTuple (a :: k) + + +type instance AsRTuple ('[] :: [*]) = RTuple () +type instance AsRTuple ((l ': ls) :: [*]) = RTuple (l, Unwrapped (AsRTuple ls)) + + +type family AsTListData t (a :: k) + + +type AsTList t lst = TList t (AsTListData t lst) + +type instance AsTListData t ('[] :: [*]) = () +type instance AsTListData t ((l ': ls) :: [*]) = (t, Unwrapped (AsTList t ls)) + + +-- === ToTuple === + +-- TODO [refactor to a tuple package] +type family AsTuple a +type instance AsTuple (RTuple ()) = () +type instance AsTuple (RTuple (t1,())) = t1 + +class ToTuple a lst | a -> lst where + toTuple :: a -> lst + +instance ToTuple (RTuple ()) () where toTuple _ = () +instance ToTuple (RTuple (t1,())) t1 where toTuple (RTuple (t1,())) = t1 +instance ToTuple (RTuple (t1,(t2,()))) (t1,t2) where toTuple (RTuple (t1,(t2,()))) = (t1,t2) +instance ToTuple (RTuple (t1,(t2,(t3,())))) (t1,t2,t3) where toTuple (RTuple (t1,(t2,(t3,())))) = (t1,t2,t3) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,()))))) (t1,t2,t3,t4) where toTuple (RTuple (t1,(t2,(t3,(t4,()))))) = (t1,t2,t3,t4) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,())))))) (t1,t2,t3,t4,t5) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,())))))) = (t1,t2,t3,t4,t5) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,()))))))) (t1,t2,t3,t4,t5,t6) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,()))))))) = (t1,t2,t3,t4,t5,t6) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,())))))))) (t1,t2,t3,t4,t5,t6,t7) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,())))))))) = (t1,t2,t3,t4,t5,t6,t7) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,()))))))))) (t1,t2,t3,t4,t5,t6,t7,t8) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,()))))))))) = (t1,t2,t3,t4,t5,t6,t7,t8) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,())))))))))) (t1,t2,t3,t4,t5,t6,t7,t8,t9) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,())))))))))) = (t1,t2,t3,t4,t5,t6,t7,t8,t9) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,(t10,()))))))))))) (t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,(t10,()))))))))))) = (t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,(t10,(t11,())))))))))))) (t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,(t10,(t11,())))))))))))) = (t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11) +instance ToTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,(t10,(t11,(t12,()))))))))))))) (t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12) where toTuple (RTuple (t1,(t2,(t3,(t4,(t5,(t6,(t7,(t8,(t9,(t10,(t11,(t12,()))))))))))))) = (t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12) + + +-- === Elem indexing === + +type family ElTypeAt (idx :: Nat) a + +class ElAt idx a where + elAt :: Proxy idx -> Lens' a (ElTypeAt idx a) + +class ElAt' idx t where + elAt' :: Proxy idx -> Lens' (TList t lst) t + +-- + +type instance ElTypeAt n (RTuple (r,rs)) = If (n :== 0) r (ElTypeAt (n - 1) (RTuple rs)) +--type instance ElTypeAt n (TList t (r,rs)) = If (n :== 0) t (ElTypeAt (n - 1) (TList t rs)) +type instance ElTypeAt n (TList t lst) = t + +instance {-# OVERLAPPABLE #-} ( ElAt (n - 1) (RTuple rs) + , ElTypeAt n (RTuple (r,rs)) ~ ElTypeAt (n-1) (RTuple rs) + ) => ElAt n (RTuple (r,rs)) where elAt _ = tail . elAt (Proxy :: Proxy (n-1)) +instance {-# OVERLAPPABLE #-} ElAt 0 (RTuple (r,rs)) where elAt _ = head + + +instance {-# OVERLAPPABLE #-} ( ElAt (n - 1) (TList t rs) + , ElTypeAt n (TList t (r,rs)) ~ ElTypeAt (n-1) (TList t rs) + ) => ElAt n (TList t (r,rs)) where elAt _ = tail . elAt (Proxy :: Proxy (n-1)) +instance {-# OVERLAPPABLE #-} (t ~ r) => ElAt 0 (TList t (r,rs)) where elAt _ = head + + +-- === RTup builder === + +--rtup = + +--class RTupBuilder b where +-- rtup :: + + +--elAt0 :: ElTypeAt 0 a => a -> ElAt 0 a +--elAt0 = ElTypeAt (Proxy :: Proxy 0) + +--elAt1 :: ElTypeAt 1 a => a -> ElAt 1 a +--elAt1 = ElTypeAt (Proxy :: Proxy 1) + +--elAt2 :: ElTypeAt 2 a => a -> ElAt 2 a +--elAt2 = ElTypeAt (Proxy :: Proxy 2) + +--elAt3 :: ElTypeAt 3 a => a -> ElAt 3 a +--elAt3 = ElTypeAt (Proxy :: Proxy 3) + +--elAt4 :: ElTypeAt 4 a => a -> ElAt 4 a +--elAt4 = ElTypeAt (Proxy :: Proxy 4) + +--elAt5 :: ElTypeAt 5 a => a -> ElAt 5 a +--elAt5 = ElTypeAt (Proxy :: Proxy 5) + +--elAt6 :: ElTypeAt 6 a => a -> ElAt 6 a +--elAt6 = ElTypeAt (Proxy :: Proxy 6) + +--elAt7 :: ElTypeAt 7 a => a -> ElAt 7 a +--elAt7 = ElTypeAt (Proxy :: Proxy 7) + +--elAt8 :: ElTypeAt 8 a => a -> ElAt 8 a +--elAt8 = ElTypeAt (Proxy :: Proxy 8) + +--elAt9 :: ElTypeAt 9 a => a -> ElAt 9 a +--elAt9 = ElTypeAt (Proxy :: Proxy 9)