type-level-sets 0.6 → 0.6.1
raw patch · 3 files changed
+31/−11 lines, 3 files
Files
- example.hs +1/−1
- src/Data/Type/Set.hs +1/−1
- type-level-sets.cabal +29/−9
example.hs view
@@ -22,5 +22,5 @@ Empty -- GHC can easily infer this type, so an explicit signature not necessary--- foobar :: Set '["w" :-> Int, "x" :-> Int, "y" :-> Integer, "z" :-> Int]+-- foobar :: Map '["w" :-> Int, "x" :-> Int, "y" :-> Integer, "z" :-> Int] foobar = foo `union` bar
src/Data/Type/Set.hs view
@@ -112,7 +112,7 @@ instance Nubable (e ': s) => Nubable (e ': e ': s) where nub (Ext _ (Ext e s)) = nub (Ext e s) -instance (Nub (e ': f ': s) ~ (e ': Nub (f ': s)), +instance {-# OVERLAPS #-} (Nub (e ': f ': s) ~ (e ': Nub (f ': s)), Nubable (f ': s)) => Nubable (e ': f ': s) where nub (Ext e (Ext f s)) = Ext e (nub (Ext f s))
type-level-sets.cabal view
@@ -1,30 +1,30 @@ name: type-level-sets-version: 0.6-synopsis: Type-level sets and finite maps (with value-level counterparts and various operations)+version: 0.6.1+synopsis: Type-level sets and finite maps (with value-level counterparts) description: This package provides type-level sets (no duplicates, sorted to provide a normal form) via 'Set' and type-level- maps via 'Map', with value-level counterparts.+ finite maps via 'Map', with value-level counterparts. . Described in the paper \"Embedding effect systems in Haskell\" by Dominic Orchard - and Tomas Petricek <http://www.cl.cam.ac.uk/~dao29/publ/haskell14-effects.pdf> (Haskell Symposium, 2014)+ and Tomas Petricek <http://www.cl.cam.ac.uk/~dao29/publ/haskell14-effects.pdf> (Haskell Symposium, 2014). This version now uses Quicksort to normalise the representation. .- Here is a brief example: + Here is a brief example for finite maps.: . > > import Data.Type.Map >- > foo :: Set '["x" :-> Int, "z" :-> Int, "w" :-> Int]+ > foo :: Map '["x" :-> Int, "z" :-> Int, "w" :-> Int] > foo = Ext ((Var :: (Var "x")) :-> 2) $ > Ext ((Var :: (Var "z")) :-> 4) $ > Ext ((Var :: (Var "w")) :-> 5) $ > Empty >- > bar :: Set '["y" :-> Int, "w" :-> Int]+ > bar :: Map '["y" :-> Int, "w" :-> Int] > bar = Ext ((Var :: (Var "y")) :-> 3) $ > Ext ((Var :: (Var "w")) :-> 1) $ > Empty > - > -- foobar :: Set '["w" :-> Int, "x" :-> Int, "y" :-> Int, "z" :-> Int]+ > -- foobar :: Map '["w" :-> Int, "x" :-> Int, "y" :-> Int, "z" :-> Int] > foobar = foo `union` bar . The 'Set' type for 'foobar' here shows the normalised form (sorted with no duplicates).@@ -34,11 +34,31 @@ > [(Var :-> 1), (Var :-> 2), (Var :-> 3), (Var :-> 4)] . Thus, we see that the first value paired with the \"w\" variable is dropped.+ For sets, here is an example: .+ > import GHC.TypeLits+ > import Data.Type.Set+ > type instance Cmp (Natural n) (Natural m) = CmpNat n m+ >+ > data Natural (a :: Nat) where+ > Z :: Natural 0+ > S :: Natural n -> Natural (n + 1)+ > + > -- foo :: Set '[Natural 0, Natural 1, Natural 3]+ > foo = asSet $ Ext (S Z) (Ext (S (S (S Z))) (Ext Z Empty))+ >+ > -- bar :: Set '[Natural 1, Natural 2]+ > bar = asSet $ Ext (S (S Z)) (Ext (S Z) (Ext (S Z) Empty))+ >+ > -- foobar :: Set '[Natural 0, Natural 1, Natural 2, Natural 3]+ > foobar = foo `union` bar+ .+ Note the types here are all inferred.+ . license: BSD3 license-file: LICENSE category: Type System, Data Structures-copyright: 2013-14 University of Cambridge+copyright: 2013-16 University of Cambridge author: Dominic Orchard maintainer: Dominic Orchard stability: experimental