X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=GHC%2FHetMet%2FGArrow.hs;h=9f8aab10145218ad2a584880334422a38ce7e4f6;hb=b77972bb8793136b82db08061fc2b1703499880a;hp=9b151163ab59bbe9e26c6512b708ac8de911f67a;hpb=f827975d749073dbc8224fe74a3ee39393b26640;p=ghc-base.git diff --git a/GHC/HetMet/GArrow.hs b/GHC/HetMet/GArrow.hs index 9b15116..9f8aab1 100644 --- a/GHC/HetMet/GArrow.hs +++ b/GHC/HetMet/GArrow.hs @@ -14,40 +14,50 @@ module GHC.HetMet.GArrow ( GArrowDrop(..), GArrowCopy(..), GArrowSwap(..), + GArrowLoop(..), + + GArrowEval(..), GArrowConstant(..), - GArrowRun(..), + GArrowLiteral(..), -- should be implemented, but never invoked, by user code + + GArrowSum(..), + GArrowProd(..), + GArrowReify(..), - GArrowReflect(..) + GArrowReflect(..), + + GArrowCurry(..), + GArrowApply(..) ) where import Control.Category ------------------------------------------------------------------------ -- The main GArrow class -class Category g => GArrow g (**) | g -> (**) where +class Category g => GArrow g (**) u | (**) -> u where --id :: g x x --comp :: g x y -> g y z -> g x z ga_first :: g x y -> g (x ** z) (y ** z) ga_second :: g x y -> g (z ** x) (z ** y) - ga_cancell :: g (()**x) x - ga_cancelr :: g (x**()) x - ga_uncancell :: g x (()**x) - ga_uncancelr :: g x (x**()) - ga_assoc :: g ((x**y)**z) (x**(y**z)) - ga_unassoc :: g (x**(y**z)) ((x**y)**z) + ga_cancell :: g (u**x) x + ga_cancelr :: g (x**u) x + ga_uncancell :: g x (u**x) + ga_uncancelr :: g x (x**u) + ga_assoc :: g ((x** y)**z ) ( x**(y **z)) + ga_unassoc :: g ( x**(y **z)) ((x** y)**z ) ------------------------------------------------------------------------ -- The three context-manipulation classes -class GArrow g (**) => GArrowCopy g (**) where +class GArrow g (**) u => GArrowCopy g (**) u where ga_copy :: g x (x**x) -class GArrow g (**) => GArrowDrop g (**) where - ga_drop :: g x () +class GArrow g (**) u => GArrowDrop g (**) u where + ga_drop :: g x u -class GArrow g (**) => GArrowSwap g (**) where +class GArrow g (**) u => GArrowSwap g (**) u where ga_swap :: g (x**y) (y**x) ga_swap_second f = @@ -61,34 +71,78 @@ ga_swap_second f = ------------------------------------------------------------------------ +-- Products, Coproducts, etc + + +class (GArrow g (**) u, + GArrow g (<*>) u) => + GArrowProd g (**) u (<*>) where + ga_prod_copy :: g x (x<*>x) + ga_prod_drop :: g x u + +class (GArrow g (**) u, + GArrow g (<+>) v) => + GArrowSum g (**) u v (<+>) where + ga_merge :: g (x<+>x) x + ga_never :: g v x + + + + + +------------------------------------------------------------------------ -- Loop -class GArrow g (**) => GArrowLoop g (**) where - ga_loop :: g (x**z) (y**z) -> g x y +class GArrow g (**) u => GArrowLoop g (**) u where + ga_loopl :: g (x**z) (y**z) -> g x y + ga_loopr :: g (z**x) (z**y) -> g x y + + +------------------------------------------------------------------------ +-- Literal. Note that ga_literal should never appear in (unflattened) +-- Haskell programs, though the user may wish to write implementations +-- of this function (I haven't yet found a way to enforce this +-- restriction using exports) + +class GArrow g (**) u => GArrowLiteral g (**) u t r where + ga_literal :: t -> g u r + ------------------------------------------------------------------------ -- Constant and Run, which are dual to each other -class GArrow g (**) => GArrowConstant g (**) where - ga_constant :: a -> g () a +class GArrow g (**) u => GArrowEval g (**) u r t where + ga_eval :: g u r -> t --- the dual of GArrowConstant -class GArrow g (**) => GArrowRun g (**) where - ga_run :: g () a -> a +class GArrow g (**) u => GArrowConstant g (**) u t r where + ga_constant :: t -> g u r ------------------------------------------------------------------------ -- Reify and Reflect, which are "curried" versions --- Not sure -- subject to change. If you have this, you're basically +-- If you have this for R the identity map on types, you're basically -- a Control.Arrow; you can also define essentially all the other -- methods of GArrow, GArrowDrop, GArrowCopy, etc in terms of this. -class GArrow g (**) => GArrowReify g (**) where - ga_reify :: (x -> y) -> g x y +class GArrow g (**) u => GArrowReify g (**) u x y r q where + ga_reify :: (x -> y) -> g r q + +class GArrow g (**) u => GArrowReflect g (**) u r q x y where + ga_reflect :: g r q -> (x -> y) + + + + +------------------------------------------------------------------------ +-- Apply and Curry + +class GArrow g (**) u => GArrowApply g (**) u (~>) where + ga_applyl :: g (x**(x~>y) ) y + ga_applyr :: g ( (x~>y)**x) y --- not sure -- subject to change -class GArrow g (**) => GArrowReflect g (**) where - ga_reflect :: g x y -> (x -> y) +class GArrow g (**) u => GArrowCurry g (**) u (~>) where + ga_curryl :: g (x**y) z -> g x (y~>z) + ga_curryr :: g (x**y) z -> g y (x~>z)