-- | Miscellaneous utility functions. {-# LANGUAGE CPP, MagicHash #-} module Twee.Utils where import Control.Arrow((&&&)) import Control.Exception import Data.List(groupBy, sortBy) import Data.Ord(comparing) import System.IO import GHC.Prim import GHC.Types import Data.Bits --import Test.QuickCheck hiding ((.&.)) repeatM :: Monad m => m a -> m [a] repeatM = sequence . repeat partitionBy :: Ord b => (a -> b) -> [a] -> [[a]] partitionBy value = map (map fst) . groupBy (\x y -> snd x == snd y) . sortBy (comparing snd) . map (id &&& value) collate :: Ord a => ([b] -> c) -> [(a, b)] -> [(a, c)] collate f = map g . partitionBy fst where g xs = (fst (head xs), f (map snd xs)) isSorted :: Ord a => [a] -> Bool isSorted xs = and (zipWith (<=) xs (tail xs)) isSortedBy :: Ord b => (a -> b) -> [a] -> Bool isSortedBy f xs = isSorted (map f xs) usort :: Ord a => [a] -> [a] usort = usortBy compare usortBy :: (a -> a -> Ordering) -> [a] -> [a] usortBy f = map head . groupBy (\x y -> f x y == EQ) . sortBy f sortBy' :: Ord b => (a -> b) -> [a] -> [a] sortBy' f = map snd . sortBy (comparing fst) . map (\x -> (f x, x)) usortBy' :: Ord b => (a -> b) -> [a] -> [a] usortBy' f = map snd . usortBy (comparing fst) . map (\x -> (f x, x)) orElse :: Ordering -> Ordering -> Ordering EQ `orElse` x = x x `orElse` _ = x unbuffered :: IO a -> IO a unbuffered x = do buf <- hGetBuffering stdout bracket_ (hSetBuffering stdout NoBuffering) (hSetBuffering stdout buf) x newtype Max a = Max { getMax :: Maybe a } getMaxWith :: Ord a => a -> Max a -> a getMaxWith x (Max (Just y)) = x `max` y getMaxWith x (Max Nothing) = x instance Ord a => Monoid (Max a) where mempty = Max Nothing Max (Just x) `mappend` y = Max (Just (getMaxWith x y)) Max Nothing `mappend` y = y newtype Min a = Min { getMin :: Maybe a } getMinWith :: Ord a => a -> Min a -> a getMinWith x (Min (Just y)) = x `min` y getMinWith x (Min Nothing) = x instance Ord a => Monoid (Min a) where mempty = Min Nothing Min (Just x) `mappend` y = Min (Just (getMinWith x y)) Min Nothing `mappend` y = y labelM :: Monad m => (a -> m b) -> [a] -> m [(a, b)] labelM f = mapM (\x -> do { y <- f x; return (x, y) }) #if __GLASGOW_HASKELL__ < 710 isSubsequenceOf :: Ord a => [a] -> [a] -> Bool [] `isSubsequenceOf` ys = True (x:xs) `isSubsequenceOf` [] = False (x:xs) `isSubsequenceOf` (y:ys) | x == y = xs `isSubsequenceOf` ys | otherwise = (x:xs) `isSubsequenceOf` ys #endif {-# INLINE fixpoint #-} fixpoint :: Eq a => (a -> a) -> a -> a fixpoint f x = fxp x where fxp x | x == y = x | otherwise = fxp y where y = f x -- From "Bit twiddling hacks": branchless min and max {-# INLINE intMin #-} intMin :: Int -> Int -> Int intMin x y = y `xor` ((x `xor` y) .&. negate (x .<. y)) where I# x .<. I# y = I# (x <# y) {-# INLINE intMax #-} intMax :: Int -> Int -> Int intMax x y = x `xor` ((x `xor` y) .&. negate (x .<. y)) where I# x .<. I# y = I# (x <# y) -- Split an interval (inclusive bounds) into a particular number of blocks splitInterval :: Integral a => a -> (a, a) -> [(a, a)] splitInterval k (lo, hi) = [ (lo+i*blockSize, (lo+(i+1)*blockSize-1) `min` hi) | i <- [0..k-1] ] where size = (hi-lo+1) blockSize = (size + k - 1) `div` k -- division rounding up {- prop_split_1 (Positive k) (lo, hi) = -- Check that all elements occur exactly once concat [[x..y] | (x, y) <- splitInterval k (lo, hi)] === [lo..hi] -- Check that we have the correct number and distribution of blocks prop_split_2 (Positive k) (lo, hi) = counterexample (show splits) $ conjoin [counterexample "Reason: too many splits" $ length splits <= k, counterexample "Reason: too few splits" $ length [lo..hi] >= k ==> length splits == k, counterexample "Reason: uneven distribution" $ not (null splits) ==> minimum (map length splits) + 1 >= maximum (map length splits)] where splits = splitInterval k (lo, hi) -}