X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;ds=sidebyside;f=Control%2FMonad%2FFix.hs;h=a1309faccd41db6574dc8bd5f36297708d635b35;hb=41e8fba828acbae1751628af50849f5352b27873;hp=f69d790708b47c10054b9918db7b728253c21738;hpb=bb49ec07b01f68599a49ce04473bd9616c739687;p=ghc-base.git diff --git a/Control/Monad/Fix.hs b/Control/Monad/Fix.hs index f69d790..a1309fa 100644 --- a/Control/Monad/Fix.hs +++ b/Control/Monad/Fix.hs @@ -1,57 +1,97 @@ -{-# OPTIONS -fno-implicit-prelude #-} +{-# LANGUAGE CPP #-} + ----------------------------------------------------------------------------- --- +-- | -- Module : Control.Monad.Fix -- Copyright : (c) Andy Gill 2001, --- (c) Oregon Graduate Institute of Science and Technology, 2001 --- License : BSD-style (see the file libraries/core/LICENSE) --- +-- (c) Oregon Graduate Institute of Science and Technology, 2002 +-- License : BSD-style (see the file libraries/base/LICENSE) -- Maintainer : libraries@haskell.org -- Stability : experimental -- Portability : portable -- --- $Id: Fix.hs,v 1.3 2002/03/14 12:09:49 simonmar Exp $ --- --- The Fix monad. +-- Monadic fixpoints. -- --- Inspired by the paper: --- \em{Functional Programming with Overloading and --- Higher-Order Polymorphism}, --- \A[HREF="http://www.cse.ogi.edu/~mpj"]{Mark P Jones}, --- Advanced School of Functional Programming, 1995.} +-- For a detailed discussion, see Levent Erkok's thesis, +-- /Value Recursion in Monadic Computations/, Oregon Graduate Institute, 2002. -- ----------------------------------------------------------------------------- module Control.Monad.Fix ( - MonadFix( - mfix -- :: (a -> m a) -> m a + MonadFix( + mfix -- :: (a -> m a) -> m a ), - fix -- :: (a -> a) -> a + fix -- :: (a -> a) -> a ) where -#ifdef __GLASGOW_HASKELL__ --- MonadFix is needed by System.IO, so it is below the Prelude. -import Control.Monad -import GHC.Base -import GHC.Err -import Data.Maybe -#endif - +import Prelude import System.IO +import Control.Monad.Instances () +import Data.Function (fix) +#ifdef __HUGS__ +import Hugs.Prelude (MonadFix(mfix)) +#endif +#if defined(__GLASGOW_HASKELL__) +import GHC.ST +#endif -fix :: (a -> a) -> a -fix f = let x = f x in x - +#ifndef __HUGS__ +-- | Monads having fixed points with a \'knot-tying\' semantics. +-- Instances of 'MonadFix' should satisfy the following laws: +-- +-- [/purity/] +-- @'mfix' ('return' . h) = 'return' ('fix' h)@ +-- +-- [/left shrinking/ (or /tightening/)] +-- @'mfix' (\\x -> a >>= \\y -> f x y) = a >>= \\y -> 'mfix' (\\x -> f x y)@ +-- +-- [/sliding/] +-- @'mfix' ('Control.Monad.liftM' h . f) = 'Control.Monad.liftM' h ('mfix' (f . h))@, +-- for strict @h@. +-- +-- [/nesting/] +-- @'mfix' (\\x -> 'mfix' (\\y -> f x y)) = 'mfix' (\\x -> f x x)@ +-- +-- This class is used in the translation of the recursive @do@ notation +-- supported by GHC and Hugs. class (Monad m) => MonadFix m where - mfix :: (a -> m a) -> m a + -- | The fixed point of a monadic computation. + -- @'mfix' f@ executes the action @f@ only once, with the eventual + -- output fed back as the input. Hence @f@ should not be strict, + -- for then @'mfix' f@ would diverge. + mfix :: (a -> m a) -> m a +#endif /* !__HUGS__ */ + +-- Instances of MonadFix for Prelude monads +-- Maybe: instance MonadFix Maybe where - mfix f = let - a = f $ case a of - Just x -> x - _ -> error "empty mfix argument" - in a + mfix f = let a = f (unJust a) in a + where unJust (Just x) = x + unJust Nothing = error "mfix Maybe: Nothing" +-- List: +instance MonadFix [] where + mfix f = case fix (f . head) of + [] -> [] + (x:_) -> x : mfix (tail . f) + +-- IO: instance MonadFix IO where - mfix = fixIO + mfix = fixIO + +-- Prelude types with Monad instances in Control.Monad.Instances + +instance MonadFix ((->) r) where + mfix f = \ r -> let a = f a r in a + +instance MonadFix (Either e) where + mfix f = let a = f (unRight a) in a + where unRight (Right x) = x + unRight (Left _) = error "mfix Either: Left" + +#if defined(__GLASGOW_HASKELL__) +instance MonadFix (ST s) where + mfix = fixST +#endif