logict-state (empty) → 0.1.0.0
raw patch · 8 files changed
+656/−0 lines, 8 filesdep +basedep +logictdep +mtlsetup-changed
Dependencies added: base, logict, mtl, transformers
Files
- LICENSE +30/−0
- Setup.hs +2/−0
- logict-state.cabal +35/−0
- src/Control/Monad/LogicState.hs +369/−0
- src/Control/Monad/LogicState/Class.hs +22/−0
- src/Control/Monad/LogicState/Examples.hs +126/−0
- src/Control/Monad/LogicState/Logic.hs +20/−0
- src/Control/Monad/TransLogicState/Class.hs +52/−0
+ LICENSE view
@@ -0,0 +1,30 @@+Copyright (c) 2016, Atze Dijkstra++All rights reserved.++Redistribution and use in source and binary forms, with or without+modification, are permitted provided that the following conditions are met:++ * Redistributions of source code must retain the above copyright+ notice, this list of conditions and the following disclaimer.++ * Redistributions in binary form must reproduce the above+ copyright notice, this list of conditions and the following+ disclaimer in the documentation and/or other materials provided+ with the distribution.++ * Neither the name of Atze Dijkstra nor the names of other+ contributors may be used to endorse or promote products derived+ from this software without specific prior written permission.++THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ Setup.hs view
@@ -0,0 +1,2 @@+import Distribution.Simple+main = defaultMain
+ logict-state.cabal view
@@ -0,0 +1,35 @@+-- Initial logict-backtrack.cabal generated by cabal init. For further +-- documentation, see http://haskell.org/cabal/users-guide/++name: logict-state+version: 0.1.0.0+synopsis: Library for logic programming based on haskell package logict+description: Logic programming built on top of part of logict library, in particular for dealing with backtrackable state+homepage: https://github.com/atzedijkstra/logict-state+license: BSD3+license-file: LICENSE+author: Atze Dijkstra+maintainer: atzedijkstra@gmail.com+-- copyright: +category: Development+build-type: Simple+-- extra-source-files: +cabal-version: >=1.10++source-repository head+ type: git+ location: https://github.com/atzedijkstra/logict-state.git++library+ exposed-modules: Control.Monad.LogicState,+ Control.Monad.LogicState.Class,+ Control.Monad.TransLogicState.Class,+ Control.Monad.LogicState.Examples+ other-modules: Control.Monad.LogicState.Logic+ default-extensions: MultiParamTypeClasses+ build-depends: base >=4.8 && <4.9,+ mtl >= 2.1,+ transformers >= 0.4.2,+ logict >= 0.6.0.2+ hs-source-dirs: src+ default-language: Haskell2010
+ src/Control/Monad/LogicState.hs view
@@ -0,0 +1,369 @@+{-# LANGUAGE UndecidableInstances, Rank2Types, FlexibleInstances, FlexibleContexts, GADTs, ScopedTypeVariables, FunctionalDependencies #-}++-------------------------------------------------------------------------+-- |+-- Module : Control.Monad.LogicState+-- Copyright : (c) Atze Dijkstra+-- License : BSD3+--+-- Maintainer : atzedijkstra@gmail.com+-- Stability : experimental, (as of 20160218) under development+-- Portability : non-portable+--+-- A backtracking, logic programming monad partially derived and on top of logict, adding backtrackable state.+--+-- LogicT (and thus this library as well) is adapted from the paper+-- /Backtracking, Interleaving, and Terminating+-- Monad Transformers/, by+-- Oleg Kiselyov, Chung-chieh Shan, Daniel P. Friedman, Amr Sabry+-- (<http://www.cs.rutgers.edu/~ccshan/logicprog/LogicT-icfp2005.pdf>).+--+-- +-------------------------------------------------------------------------++module Control.Monad.LogicState (+ module Control.Monad.Logic.Class,+ module Control.Monad,+ module Control.Monad.Trans,+ module Control.Monad.LogicState.Class,+ module Control.Monad.TransLogicState.Class,+ -- * The LogicVar monad+ -- LogicVar,+ LogicState,+ {-+ logicVar,+ runLogicVar,+ -- * The LogicVarT monad transformer+ -}+ -- LogicVarT(..),+ {-+ runLogicVarT,+ -}+ LogicStateT(..),+ ) where++import Data.Maybe+import Data.Typeable++import Control.Applicative++import Control.Monad+import Control.Monad.Identity+import Control.Monad.Trans++import Control.Monad.State+import Control.Monad.Reader.Class+import Control.Monad.State.Class+import Control.Monad.Error.Class++import Data.Monoid (Monoid(mappend, mempty))+import qualified Data.Foldable as F+import qualified Data.Traversable as T++import Control.Monad.Logic.Class++import Control.Monad.LogicState.Class+import Control.Monad.TransLogicState.Class++-------------------------------------------------------------------------+-- | A monad transformer for performing backtracking computations+-- layered over another monad 'm', with propagation of global and backtracking state, e.g. resp. for freshness/uniqueness and maintaining variable mappings.+newtype LogicStateT gs bs m a =+ LogicStateT { unLogicStateT ::+ forall r. LogicContS gs bs r m a+ }++-- | Convenience types+type LogicStateS gs bs r m = StateT (gs,bs) m r -- (gs,bs) -> m (r,(gs,bs))+type LogicContS gs bs r m a =+ ( a -- result+ -> LogicStateS gs bs r m -- failure continuation+ -> LogicStateS gs bs r m+ ) -- ^ success continuation+ -> LogicStateS gs bs r m -- ^ failure continuation+ -> LogicStateS gs bs r m -- ^ global + backtracking state++instance Functor (LogicStateT gs bs f) where+ fmap f lt = LogicStateT $ \sk -> unLogicStateT lt (sk . f)++instance Applicative (LogicStateT gs bs f) where+ pure a = LogicStateT $ \sk -> sk a+ f <*> a = LogicStateT $ \sk -> unLogicStateT f (\g -> unLogicStateT a (sk . g))++instance Monad (LogicStateT gs bs m) where+ return a = LogicStateT ($ a)+ m >>= f = LogicStateT $ \sk -> unLogicStateT m (\a -> unLogicStateT (f a) sk)+ fail _ = LogicStateT $ flip const++instance Alternative (LogicStateT gs bs f) where+ empty = LogicStateT $ flip const+ -- state backtracking variant, but in general interacts badly with other combinators using msplit. Backtracking separately available.+ -- f1 <|> f2 = LogicStateT $ \sk fk -> StateT $ \s@(_,bs) -> runStateT (unLogicStateT f1 sk (StateT $ \(gs',_) -> runStateT (unLogicStateT f2 sk fk) (gs',bs))) s+ f1 <|> f2 = LogicStateT $ \sk fk -> unLogicStateT f1 sk (unLogicStateT f2 sk fk)++instance MonadPlus (LogicStateT gs bs m) where+ mzero = empty+ {-# INLINE mzero #-}+ mplus = (<|>)+ {-# INLINE mplus #-}++instance MonadTrans (LogicStateT gs bs) where+ lift m = LogicStateT $ \sk fk -> StateT $ \s -> m >>= \a -> runStateT (sk a fk) s++instance (MonadIO m) => MonadIO (LogicStateT gs bs m) where+ liftIO = lift . liftIO++instance {-# OVERLAPPABLE #-} MonadState s m => MonadState s (LogicStateT gs bs m) where+ get = lift get+ put = lift . put++instance MonadReader r m => MonadReader r (LogicStateT gs bs m) where+ ask = lift ask+ local f m = LogicStateT $ \sk fk -> StateT $ runStateT $ unLogicStateT m (\a fk -> StateT $ local f . runStateT (sk a fk)) (StateT $ local f . runStateT fk)++{-+instance MonadError e m => MonadError e (LogicStateT gs bs m) where+ throwError = lift . throwError+ catchError m h = LogicStateT $ \sk fk -> StateT $ \s -> let+ handle r = r `catchError` \e -> put s >> unLogicStateT (h e) sk fk+ in handle $ put s >> unLogicStateT m (\a fk' -> sk a (handle . fk')) fk+-}++{-+instance MonadError e m => MonadError e (LogicStateT gs bs m) where+ throwError = lift . throwError+ catchError m h = LogicStateT $ \sk fk -> StateT $ \s -> let+ handle r = r `catchError` \e -> StateT $ \_ -> runStateT (unLogicStateT (h e) sk fk) s+ in handle $ StateT $ \_ -> runStateT (unLogicStateT m (\a fk' -> sk a (handle . fk')) fk) s+-}++{-+-}+instance (Monad m) => MonadLogic (LogicStateT gs bs m) where+ msplit m =+ liftWithState $ runStateT $ unLogicStateT m+ (\a fk -> return (Just (a, liftWithState (runStateT fk) >>= reflect)))+ (return Nothing)++instance TransLogicState (gs,bs) (LogicStateT gs bs) where+ observeT s lt = evalStateT (unLogicStateT lt (\a _ -> return a) (fail "No answer.")) s+ + observeAllT s m = evalStateT (unLogicStateT m+ (\a fk -> fk >>= \as -> return (a:as))+ (return []))+ s+ + observeManyT s n m = evalStateT (obs n m) s+ where+ obs n m+ | n <= 0 = return []+ | n == 1 = unLogicStateT m (\a _ -> return [a]) (return [])+ | otherwise = unLogicStateT (msplit m) sk (return [])+ + sk Nothing _ = return []+ sk (Just (a, m')) _ = StateT $ \s -> (\as -> (a:as,s)) `liftM` observeManyT s (n-1) m'++ liftWithState m = LogicStateT $ \sk fk -> StateT $ \s -> m s >>= \(a,s) -> runStateT (sk a fk) s+ {-# INLINE liftWithState #-}++instance Monad m => MonadState (gs,bs) (LogicStateT gs bs m) where+ get = LogicStateT $ \sk fk -> get >>= \s -> sk s fk+ put s = LogicStateT $ \sk fk -> put s >>= \a -> sk a fk++instance (Monad m) => MonadLogicState (gs,bs) (LogicStateT gs bs m) where+ backtrack m = get >>= \(_::gs,bs) -> return $ LogicStateT $ \sk fk -> StateT $ \(gs,_) -> runStateT (unLogicStateT m sk fk) (gs,bs)+++-------------------------------------------------------------------------+-- | The basic LogicVar monad, for performing backtracking computations+-- returning values of type 'a'+type LogicState gs bs = LogicStateT gs bs Identity++{-+-------------------------------------------------------------------------+-- | A monad transformer for performing backtracking computations+-- layered over another monad 'm', with propagation of global and backtracking state, e.g. resp. for freshness/uniqueness and maintaining variable mappings.+newtype LogicVarT gs bs m a =+ LogicVarT { unLogicVarT ::+ forall r. {- (Typeable r) => -} LogicCont gs bs r m a+ }++-- | Convenience types+type LogicStateT gs bs r m = (gs,bs) -> m (r,(gs,bs)) -- StateT (gs,bs) m r -- (gs,bs) -> m (r,(gs,bs))+type LogicCont gs bs r m a =+ ( a -- ^ result+ -> LogicState gs bs r m -- ^ failure continuation+ -> LogicState gs bs r m+ ) -- ^ success continuation+ -> LogicState gs bs r m -- ^ failure continuation+ -> LogicState gs bs r m -- ^ global + backtracking state++instance Functor (LogicVarT gs bs f) where+ fmap f lt = LogicVarT $ \sk -> unLogicVarT lt (sk . f)++instance Applicative (LogicVarT gs bs f) where+ pure a = LogicVarT $ \sk -> sk a+ f <*> a = LogicVarT $ \sk -> unLogicVarT f (\g -> unLogicVarT a (sk . g))++instance Monad (LogicVarT gs bs m) where+ return a = LogicVarT $ \sk -> sk a+ m >>= f = LogicVarT $ \sk -> unLogicVarT m (\a -> unLogicVarT (f a) sk)+ fail _ = LogicVarT $ \_ fk -> fk++instance Alternative (LogicVarT gs bs f) where+ empty = LogicVarT $ \_ fk -> fk+ f1 <|> f2 = LogicVarT $ \sk fk s@(_,bs) -> unLogicVarT f1 sk (\(gs',_) -> unLogicVarT f2 sk fk (gs',bs)) s++instance MonadPlus (LogicVarT gs bs m) where+ mzero = empty+ {-# INLINE mzero #-}+ mplus = (<|>)+ {-# INLINE mplus #-}++instance MonadTrans (LogicVarT gs bs) where+ lift m = LogicVarT $ \sk fk s -> m >>= \a -> sk a fk s++instance (MonadIO m) => MonadIO (LogicVarT gs bs m) where+ liftIO = lift . liftIO+-}++{-+data ResultLV gs bs r m a where+ DoneR :: ResultLV gs bs r m a+ NextR :: a -> LogicCont gs bs r m a -> ResultLV gs bs r m a+-}++{-+instance (Monad m, F.Foldable m) => F.Foldable (LogicVarT m) where+ foldMap f m = F.fold $ unLogicVarT m (liftM . mappend . f) (return mempty)++instance T.Traversable (LogicVarT Identity) where+ traverse g l = runLogicVar l (\a ft -> cons <$> g a <*> ft) (pure mzero)+ where cons a l' = return a `mplus` l'+-}++{-+-- Needs undecidable instances+instance MonadReader r m => MonadReader r (LogicVarT gs bs m) where+ ask = lift ask+ local f m = LogicVarT $ \sk fk -> unLogicVarT m (\a fk -> local f . sk a fk) (local f . fk)+ -- ((local f .) . sk) (local f fk)+ -- (\a -> (local f .) $ \fk -> sk a fk) (local f fk)++-- Needs undecidable instances+instance MonadState s m => MonadState s (LogicVarT gs bs m) where+ get = lift get+ put = lift . put++-- Needs undecidable instances+instance MonadError e m => MonadError e (LogicVarT gs bs m) where+ throwError = lift . throwError+ catchError m h = LogicVarT $ \sk fk s -> let+ handle r = r `catchError` \e -> unLogicVarT (h e) sk fk s+ in handle $ unLogicVarT m (\a fk' -> sk a (handle . fk')) fk s+-}+{-+ catchError m h = LogicT $ \sk fk -> let+ handle r = r `catchError` \e -> unLogicT (h e) sk fk+ in handle $ unLogicT m (\a -> sk a . handle) fk+-}++{-+instance (Monad m) => MonadLogic (LogicVarT gs bs m) where+ msplit m =+ liftWithState $ unLogicVarT m+ (\a fk s -> return (Just (a, liftWithState fk >>= reflect), s))+ (\s -> return (Nothing,s))+-}+{-+ msplit m =+ liftWithState $ \s -> unLogicVarT m s+ (\a s2@(gs2,bs2) fk -> return+ ( Just ( a+ , do ma <- liftWithState fk -- $ \s3@(gs3,bs3::bs) -> fk s3 -- >>= \(a,s@(gs,bs)) -> return (a,s))+ reflect ma+ )+ , s2+ ))+ (\s -> return (Nothing,s))+-}+{-+ interleave m1 m2 = msplit m1 >>=+ maybe m2 (\(a, m1') -> return a `mplus` interleave m2 m1')++ m >>- f = do (a, m') <- maybe mzero return =<< msplit m+ interleave (f a) (m' >>- f)++ ifte t th el = msplit t >>= maybe el (\(a,m) -> th a `mplus` (m >>= th))++ once m = do (a, _) <- maybe mzero return =<< msplit m+ return a+-}++{-+instance (Monad m) => MonadLogicState (gs,bs) (LogicVarT gs bs m) where+ lvGet = LogicVarT $ \sk fk s -> sk s fk s+ lvModifyGet f = LogicVarT $ \sk fk s -> let (x,s') = f s in sk x fk s'++instance TransLogicState (gs,bs) (LogicVarT gs bs) where+ -------------------------------------------------------------------------+ -- | Extracts the first result from a LogicVarT computation,+ -- failing otherwise.+ observeT s lt = fmap fst $ unLogicVarT lt (\a _ s -> return (a,s)) (\_ -> fail "No answer.") s+ + -------------------------------------------------------------------------+ -- | Extracts all results from a LogicVarT computation.+ observeAllT s m = fmap fst $ unLogicVarT m+ (\a fk s -> fk s >>= \(as,s') -> return (a:as, s'))+ (\s -> return ([],s))+ s+ + -------------------------------------------------------------------------+ -- | Extracts up to a given number of results from a LogicVarT computation.+ observeManyT s n m = fmap fst $ obs s n m+ where+ obs s n m+ | n <= 0 = return ([],s)+ | n == 1 = unLogicVarT m (\a _ s -> return ([a],s)) (\s -> return ([],s)) s+ | otherwise = unLogicVarT (msplit m) sk (\s -> return ([],s)) s+ + sk Nothing _ s = return ([],s)+ sk (Just (a, m')) _ s = (\as -> (a:as,s)) `liftM` observeManyT s (n-1) m'++ -- |+ liftWithState m = LogicVarT $ \sk fk s -> m s >>= \(a,s) -> sk a fk s+-}++{-+ +-------------------------------------------------------------------------+-- | Runs a LogicVarT computation with the specified initial success and+-- failure continuations.+runLogicVarT :: LogicVarT m a -> (a -> m r -> m r) -> m r -> m r+runLogicVarT = unLogicVarT+-}++{-+-------------------------------------------------------------------------+-- | The basic LogicVar monad, for performing backtracking computations+-- returning values of type 'a'+type LogicVar gs bs = LogicVarT gs bs Identity++-------------------------------------------------------------------------+-- | A smart constructor for LogicVar computations.+logicVar :: (forall r. (a -> r -> r) -> r -> r) -> LogicVar a+logicVar f = LogicVarT $ \k -> Identity .+ f (\a -> runIdentity . k a . Identity) .+ runIdentity++-------------------------------------------------------------------------+-- | Runs a LogicVar computation with the specified initial success and+-- failure continuations.+runLogicVar :: LogicVar a -> (a -> r -> r) -> r -> r+runLogicVar l s f = runIdentity $ unLogicVarT l si fi+ where+ si = fmap . s+ fi = Identity f++-}+
+ src/Control/Monad/LogicState/Class.hs view
@@ -0,0 +1,22 @@+{-# LANGUAGE FunctionalDependencies #-}++module Control.Monad.LogicState.Class+ ( MonadLogicState(..)+ )+ where++import Control.Monad+import Control.Monad.Logic.Class+import Control.Monad.State++-------------------------------------------------------------------------------+-- | API for MonadLogic which allows state and backtracking on it+-- Minimal implementation: msplit+class (MonadLogic m, MonadState s m) => MonadLogicState s m where+ + -- | Return argument monad with the current backtrackable part of the state remembered.+ -- If the default def is not overridden this a no-op.+ -- This function complements 'mplus' for 'LogicT', 'mplus' backtracks on results, not on state, which is what this function should do.+ backtrack :: m a -> m (m a)+ backtrack = return+
+ src/Control/Monad/LogicState/Examples.hs view
@@ -0,0 +1,126 @@+{-# LANGUAGE FlexibleInstances, UndecidableInstances, ExistentialQuantification, RankNTypes, ScopedTypeVariables #-}++module Control.Monad.LogicState.Examples+ ( main+ )+ where++import Control.Monad+import Control.Monad.Trans.Class+import Control.Monad.State.Strict as StStr+-- import qualified Control.Monad.State.Strict as StStr+import qualified Control.Monad.State.Lazy as StLaz++import Control.Monad.LogicState.Logic+import Control.Monad.LogicState+++odds :: MonadPlus m => m Int+odds = (return 1) `mplus` (odds >>= \a -> return (2 + a))++{-++-------------------------------------------------------------------------------------------------+-- Basic queens+queens1 :: Int -> [[Int]]+queens1 n = filter test (generate n)+ where generate 0 = [[]]+ generate k = [q : qs | q <- [1..n], qs <- generate (k-1)]+ test [] = True+ test (q:qs) = isSafe q qs && test qs+ isSafe try qs = not (try `elem` qs || sameDiag try qs)+ sameDiag try qs = any (\(colDist,q) -> abs (try - q) == colDist) $ zip [1..] qs++-------------------------------------------------------------------------------------------------+-- Basic queens, optimized with pruning+queens2 :: Int -> [[Int]]+queens2 n = map reverse $ queens' n+ where queens' 0 = [[]]+ queens' k = [q:qs | qs <- queens' (k-1), q <- [1..n], isSafe q qs]+ isSafe try qs = not (try `elem` qs || sameDiag try qs)+ sameDiag try qs = any (\(colDist,q) -> abs (try - q) == colDist) $ zip [1..] qs++-------------------------------------------------------------------------------------------------+-- Logic queens+queens1L n = do+ q <- generate1 n n+ guard (test q)+ return q+ where+ test [] = True+ test (q:qs) = isSafe q qs && test qs+ isSafe try qs = not (try `elem` qs || sameDiag try qs)+ sameDiag try qs = any (\(colDist,q) -> abs (try - q) == colDist) $ zip [1..] qs++generate1 :: MonadPlus m => Int -> Int -> m [Int]+generate1 _ 0 = return []+generate1 n k = do+ qs <- generate1 n (k-1)+ msum $ map (return . (:qs)) [1..n]++-------------------------------------------------------------------------------------------------+-- Logic queens, with pruning+queens2L n = do+ q <- generate2 n n+ return q++generate2 :: MonadPlus m => Int -> Int -> m [Int]+generate2 _ 0 = return []+generate2 n k = do+ qs <- generate2 n (k-1)+ msum $ flip map [1..n] $ \i -> do+ let q = i : qs+ guard (test q)+ return q+ where+ test [] = True+ test (q:qs) = isSafe q qs && test qs+ isSafe try qs = not (try `elem` qs || sameDiag try qs)+ sameDiag try qs = any (\(colDist,q) -> abs (try - q) == colDist) $ zip [1..] qs++-}++-------------------------------------------------------------------------------------------------+-- Logic queens, with pruning, with state+queens3L n = do+ q <- generate3 n n+ return q++count3g :: Monad m => LogicStateT Int Int m Int+count3g = state (\(g::Int, b::Int) -> (g,(g+1,b)))++count3gb :: Monad m => LogicStateT Int Int m (Int,Int)+count3gb = state (\(g::Int, b::Int) -> ((g,b),(g+1,b+1)))++generate3 :: Monad m => Int -> Int -> LogicStateT Int Int m ((Int,Int),[Int])+generate3 _ 0 = count3gb >>= \c -> return (c,[])+generate3 n k = do+ (_,qs) <- generate3 n (k-1)+ qss <- forM [1..n] $ \i -> backtrack $ do+ let q = i : qs+ guard (test q)+ cnt <- count3gb+ return (cnt,q)+ foldr1 mplus qss+{-+ foldr1 mplus $ flip map [1..n] $ \i -> do+ let q = i : qs+ guard (test q)+ cnt <- count3gb+ return (cnt,q)+-}+ where+ test [] = True+ test (q:qs) = isSafe q qs && test qs+ isSafe try qs = not (try `elem` qs || sameDiag try qs)+ sameDiag try qs = any (\(colDist,q) -> abs (try - q) == colDist) $ zip [1..] qs+++main = do+ -- forM_ (queens1 8) print+ -- forM_ (queens2 8) print+ -- forM_ (observeAll () $ queens1L 8) print+ -- forM_ (observeAll () $ (queens2L 8 :: Logic [Int])) print+ -- forM_ (observeAll (0::Int,0::Int) $ (queens3L 8 :: LogicVar Int Int ((Int,Int),[Int]))) print+ forM_ (observeMany (0::Int,0::Int) 500 $ (queens3L 10 :: LogicState Int Int ((Int,Int),[Int]))) print+ -- forM_ (observe (0::Int,0::Int) $ (queens3L 8 :: LogicVar Int Int ((Int,Int),[Int]))) print
+ src/Control/Monad/LogicState/Logic.hs view
@@ -0,0 +1,20 @@+{-| Wrapper around 'Control.Monad.Logic'+-}++module Control.Monad.LogicState.Logic+ ( module Control.Monad.Logic+ , module Control.Monad.TransLogicState.Class+ )+ where++import Control.Monad.Logic hiding (observeT, observeAllT, observeManyT, observe, observeAll, observeMany)+import qualified Control.Monad.Logic as CML++import Control.Monad.TransLogicState.Class++instance TransLogicState () LogicT where+ observeT _ = CML.observeT+ observeAllT _ = CML.observeAllT+ observeManyT _ = CML.observeManyT+ liftWithState m = lift $ m () >>= (return . fst)+
+ src/Control/Monad/TransLogicState/Class.hs view
@@ -0,0 +1,52 @@+{-# LANGUAGE ScopedTypeVariables #-}++module Control.Monad.TransLogicState.Class+ ( TransLogicState(..)+ + , observe+ , observeAll+ , observeMany+ )+ where++import Data.Typeable++import Control.Monad.Identity+-- import Control.Monad.Trans++-- | Additions to MonadTrans specifically useful for LogicState+class {- MonadTrans t => -} TransLogicState s t where+ -------------------------------------------------------------------------+ -- | Extracts the first result from a 't m' computation,+ -- failing otherwise.+ observeT :: (Monad m) => s -> t m a -> m a+ observeT e m = fmap head $ observeManyT e 1 m+ + -------------------------------------------------------------------------+ -- | Extracts all results from a 't m' computation.+ observeAllT :: (Monad m) => s -> t m a -> m [a]+ observeAllT e = observeManyT e maxBound+ + -------------------------------------------------------------------------+ -- | Extracts up to a given number of results from a 't m' computation.+ observeManyT :: forall m a . (Monad m) => s -> Int -> t m a -> m [a]+ observeManyT e n m = fmap (take n) $ observeAllT e m++ -- | Lift a monad by threading the state available in the transformed monad through it+ liftWithState :: Monad m => (s -> m (a,s)) -> t m a++-------------------------------------------------------------------------+-- | Extracts the first result from a LogicVar computation.+observe :: (TransLogicState s t) => s -> t Identity a -> a+observe e = runIdentity . observeT e++-------------------------------------------------------------------------+-- | Extracts all results from a LogicVar computation.+observeAll :: (TransLogicState s t) => s -> t Identity a -> [a]+observeAll e = runIdentity . observeAllT e++-------------------------------------------------------------------------+-- | Extracts up to a given number of results from a LogicVar computation.+observeMany :: (TransLogicState s t) => s -> Int -> t Identity a -> [a]+observeMany e i = runIdentity . observeManyT e i+