Portability | non-portable |
---|---|
Stability | experimental |
Maintainer | Roman Leshchinskiy <rl@cse.unsw.edu.au> |
Safe Haskell | None |
Monadic stream combinators.
- data Stream m a = forall s . Stream (s -> m (Step s a)) s Size
- data Step s a
- data SPEC
- size :: Stream m a -> Size
- sized :: Stream m a -> Size -> Stream m a
- length :: Monad m => Stream m a -> m Int
- null :: Monad m => Stream m a -> m Bool
- empty :: Monad m => Stream m a
- singleton :: Monad m => a -> Stream m a
- cons :: Monad m => a -> Stream m a -> Stream m a
- snoc :: Monad m => Stream m a -> a -> Stream m a
- replicate :: Monad m => Int -> a -> Stream m a
- replicateM :: Monad m => Int -> m a -> Stream m a
- generate :: Monad m => Int -> (Int -> a) -> Stream m a
- generateM :: Monad m => Int -> (Int -> m a) -> Stream m a
- (++) :: Monad m => Stream m a -> Stream m a -> Stream m a
- head :: Monad m => Stream m a -> m a
- last :: Monad m => Stream m a -> m a
- (!!) :: Monad m => Stream m a -> Int -> m a
- (!?) :: Monad m => Stream m a -> Int -> m (Maybe a)
- slice :: Monad m => Int -> Int -> Stream m a -> Stream m a
- init :: Monad m => Stream m a -> Stream m a
- tail :: Monad m => Stream m a -> Stream m a
- take :: Monad m => Int -> Stream m a -> Stream m a
- drop :: Monad m => Int -> Stream m a -> Stream m a
- map :: Monad m => (a -> b) -> Stream m a -> Stream m b
- mapM :: Monad m => (a -> m b) -> Stream m a -> Stream m b
- mapM_ :: Monad m => (a -> m b) -> Stream m a -> m ()
- trans :: (Monad m, Monad m') => (forall a. m a -> m' a) -> Stream m a -> Stream m' a
- unbox :: Monad m => Stream m (Box a) -> Stream m a
- concatMap :: Monad m => (a -> Stream m b) -> Stream m a -> Stream m b
- flatten :: Monad m => (a -> m s) -> (s -> m (Step s b)) -> Size -> Stream m a -> Stream m b
- indexed :: Monad m => Stream m a -> Stream m (Int, a)
- indexedR :: Monad m => Int -> Stream m a -> Stream m (Int, a)
- zipWithM_ :: Monad m => (a -> b -> m c) -> Stream m a -> Stream m b -> m ()
- zipWithM :: Monad m => (a -> b -> m c) -> Stream m a -> Stream m b -> Stream m c
- zipWith3M :: Monad m => (a -> b -> c -> m d) -> Stream m a -> Stream m b -> Stream m c -> Stream m d
- zipWith4M :: Monad m => (a -> b -> c -> d -> m e) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e
- zipWith5M :: Monad m => (a -> b -> c -> d -> e -> m f) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f
- zipWith6M :: Monad m => (a -> b -> c -> d -> e -> f -> m g) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f -> Stream m g
- zipWith :: Monad m => (a -> b -> c) -> Stream m a -> Stream m b -> Stream m c
- zipWith3 :: Monad m => (a -> b -> c -> d) -> Stream m a -> Stream m b -> Stream m c -> Stream m d
- zipWith4 :: Monad m => (a -> b -> c -> d -> e) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e
- zipWith5 :: Monad m => (a -> b -> c -> d -> e -> f) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f
- zipWith6 :: Monad m => (a -> b -> c -> d -> e -> f -> g) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f -> Stream m g
- zip :: Monad m => Stream m a -> Stream m b -> Stream m (a, b)
- zip3 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m (a, b, c)
- zip4 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m (a, b, c, d)
- zip5 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m (a, b, c, d, e)
- zip6 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f -> Stream m (a, b, c, d, e, f)
- filter :: Monad m => (a -> Bool) -> Stream m a -> Stream m a
- filterM :: Monad m => (a -> m Bool) -> Stream m a -> Stream m a
- takeWhile :: Monad m => (a -> Bool) -> Stream m a -> Stream m a
- takeWhileM :: Monad m => (a -> m Bool) -> Stream m a -> Stream m a
- dropWhile :: Monad m => (a -> Bool) -> Stream m a -> Stream m a
- dropWhileM :: Monad m => (a -> m Bool) -> Stream m a -> Stream m a
- elem :: (Monad m, Eq a) => a -> Stream m a -> m Bool
- notElem :: (Monad m, Eq a) => a -> Stream m a -> m Bool
- find :: Monad m => (a -> Bool) -> Stream m a -> m (Maybe a)
- findM :: Monad m => (a -> m Bool) -> Stream m a -> m (Maybe a)
- findIndex :: Monad m => (a -> Bool) -> Stream m a -> m (Maybe Int)
- findIndexM :: Monad m => (a -> m Bool) -> Stream m a -> m (Maybe Int)
- foldl :: Monad m => (a -> b -> a) -> a -> Stream m b -> m a
- foldlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> m a
- foldl1 :: Monad m => (a -> a -> a) -> Stream m a -> m a
- foldl1M :: Monad m => (a -> a -> m a) -> Stream m a -> m a
- foldM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> m a
- fold1M :: Monad m => (a -> a -> m a) -> Stream m a -> m a
- foldl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> m a
- foldlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> m a
- foldl1' :: Monad m => (a -> a -> a) -> Stream m a -> m a
- foldl1M' :: Monad m => (a -> a -> m a) -> Stream m a -> m a
- foldM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> m a
- fold1M' :: Monad m => (a -> a -> m a) -> Stream m a -> m a
- foldr :: Monad m => (a -> b -> b) -> b -> Stream m a -> m b
- foldrM :: Monad m => (a -> b -> m b) -> b -> Stream m a -> m b
- foldr1 :: Monad m => (a -> a -> a) -> Stream m a -> m a
- foldr1M :: Monad m => (a -> a -> m a) -> Stream m a -> m a
- and :: Monad m => Stream m Bool -> m Bool
- or :: Monad m => Stream m Bool -> m Bool
- concatMapM :: Monad m => (a -> m (Stream m b)) -> Stream m a -> Stream m b
- unfoldr :: Monad m => (s -> Maybe (a, s)) -> s -> Stream m a
- unfoldrM :: Monad m => (s -> m (Maybe (a, s))) -> s -> Stream m a
- unfoldrN :: Monad m => Int -> (s -> Maybe (a, s)) -> s -> Stream m a
- unfoldrNM :: Monad m => Int -> (s -> m (Maybe (a, s))) -> s -> Stream m a
- iterateN :: Monad m => Int -> (a -> a) -> a -> Stream m a
- iterateNM :: Monad m => Int -> (a -> m a) -> a -> Stream m a
- prescanl :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m a
- prescanlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m a
- prescanl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m a
- prescanlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m a
- postscanl :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m a
- postscanlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m a
- postscanl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m a
- postscanlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m a
- scanl :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m a
- scanlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m a
- scanl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m a
- scanlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m a
- scanl1 :: Monad m => (a -> a -> a) -> Stream m a -> Stream m a
- scanl1M :: Monad m => (a -> a -> m a) -> Stream m a -> Stream m a
- scanl1' :: Monad m => (a -> a -> a) -> Stream m a -> Stream m a
- scanl1M' :: Monad m => (a -> a -> m a) -> Stream m a -> Stream m a
- enumFromStepN :: (Num a, Monad m) => a -> a -> Int -> Stream m a
- enumFromTo :: (Enum a, Monad m) => a -> a -> Stream m a
- enumFromThenTo :: (Enum a, Monad m) => a -> a -> a -> Stream m a
- toList :: Monad m => Stream m a -> m [a]
- fromList :: Monad m => [a] -> Stream m a
- fromListN :: Monad m => Int -> [a] -> Stream m a
- unsafeFromList :: Monad m => Size -> [a] -> Stream m a
Documentation
Monadic streams
Result of taking a single step in a stream
Size hints
Length
Construction
replicateM :: Monad m => Int -> m a -> Stream m aSource
Yield a Stream
of values obtained by performing the monadic action the
given number of times
Accessing elements
(!?) :: Monad m => Stream m a -> Int -> m (Maybe a)Source
Element at the given position or Nothing
if out of bounds
Substreams
Extract a substream of the given length starting at the given position.
Mapping
mapM_ :: Monad m => (a -> m b) -> Stream m a -> m ()Source
Execute a monadic action for each element of the Stream
trans :: (Monad m, Monad m') => (forall a. m a -> m' a) -> Stream m a -> Stream m' aSource
Transform a Stream
to use a different monad
Zipping
indexed :: Monad m => Stream m a -> Stream m (Int, a)Source
Pair each element in a Stream
with its index
indexedR :: Monad m => Int -> Stream m a -> Stream m (Int, a)Source
Pair each element in a Stream
with its index, starting from the right
and counting down
zipWithM :: Monad m => (a -> b -> m c) -> Stream m a -> Stream m b -> Stream m cSource
Zip two Stream
s with the given monadic function
zipWith3M :: Monad m => (a -> b -> c -> m d) -> Stream m a -> Stream m b -> Stream m c -> Stream m dSource
zipWith4M :: Monad m => (a -> b -> c -> d -> m e) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m eSource
zipWith5M :: Monad m => (a -> b -> c -> d -> e -> m f) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m fSource
zipWith6M :: Monad m => (a -> b -> c -> d -> e -> f -> m g) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f -> Stream m gSource
zipWith3 :: Monad m => (a -> b -> c -> d) -> Stream m a -> Stream m b -> Stream m c -> Stream m dSource
zipWith4 :: Monad m => (a -> b -> c -> d -> e) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m eSource
zipWith5 :: Monad m => (a -> b -> c -> d -> e -> f) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m fSource
zipWith6 :: Monad m => (a -> b -> c -> d -> e -> f -> g) -> Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f -> Stream m gSource
zip4 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m (a, b, c, d)Source
zip5 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m (a, b, c, d, e)Source
zip6 :: Monad m => Stream m a -> Stream m b -> Stream m c -> Stream m d -> Stream m e -> Stream m f -> Stream m (a, b, c, d, e, f)Source
Filtering
filter :: Monad m => (a -> Bool) -> Stream m a -> Stream m aSource
Drop elements which do not satisfy the predicate
filterM :: Monad m => (a -> m Bool) -> Stream m a -> Stream m aSource
Drop elements which do not satisfy the monadic predicate
takeWhile :: Monad m => (a -> Bool) -> Stream m a -> Stream m aSource
Longest prefix of elements that satisfy the predicate
takeWhileM :: Monad m => (a -> m Bool) -> Stream m a -> Stream m aSource
Longest prefix of elements that satisfy the monadic predicate
dropWhile :: Monad m => (a -> Bool) -> Stream m a -> Stream m aSource
Drop the longest prefix of elements that satisfy the predicate
dropWhileM :: Monad m => (a -> m Bool) -> Stream m a -> Stream m aSource
Drop the longest prefix of elements that satisfy the monadic predicate
Searching
elem :: (Monad m, Eq a) => a -> Stream m a -> m BoolSource
Check whether the Stream
contains an element
Folding
foldlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> m aSource
Left fold with a monadic operator
foldl1M :: Monad m => (a -> a -> m a) -> Stream m a -> m aSource
Left fold over a non-empty Stream
with a monadic operator
foldl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> m aSource
Left fold with a strict accumulator
foldlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> m aSource
Left fold with a strict accumulator and a monadic operator
foldl1' :: Monad m => (a -> a -> a) -> Stream m a -> m aSource
Left fold over a non-empty Stream
with a strict accumulator
foldl1M' :: Monad m => (a -> a -> m a) -> Stream m a -> m aSource
Left fold over a non-empty Stream
with a strict accumulator and a
monadic operator
foldrM :: Monad m => (a -> b -> m b) -> b -> Stream m a -> m bSource
Right fold with a monadic operator
foldr1M :: Monad m => (a -> a -> m a) -> Stream m a -> m aSource
Right fold over a non-empty stream with a monadic operator
Specialised folds
Unfolding
unfoldrM :: Monad m => (s -> m (Maybe (a, s))) -> s -> Stream m aSource
Unfold with a monadic function
unfoldrNM :: Monad m => Int -> (s -> m (Maybe (a, s))) -> s -> Stream m aSource
Unfold at most n
elements with a monadic functions
iterateN :: Monad m => Int -> (a -> a) -> a -> Stream m aSource
Apply function n times to value. Zeroth element is original value.
iterateNM :: Monad m => Int -> (a -> m a) -> a -> Stream m aSource
Apply monadic function n times to value. Zeroth element is original value.
Scans
prescanlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m aSource
Prefix scan with a monadic operator
prescanl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m aSource
Prefix scan with strict accumulator
prescanlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m aSource
Prefix scan with strict accumulator and a monadic operator
postscanlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m aSource
Suffix scan with a monadic operator
postscanl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m aSource
Suffix scan with strict accumulator
postscanlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m aSource
Suffix scan with strict acccumulator and a monadic operator
scanlM :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m aSource
Haskell-style scan with a monadic operator
scanl' :: Monad m => (a -> b -> a) -> a -> Stream m b -> Stream m aSource
Haskell-style scan with strict accumulator
scanlM' :: Monad m => (a -> b -> m a) -> a -> Stream m b -> Stream m aSource
Haskell-style scan with strict accumulator and a monadic operator
scanl1M :: Monad m => (a -> a -> m a) -> Stream m a -> Stream m aSource
Scan over a non-empty Stream
with a monadic operator
scanl1' :: Monad m => (a -> a -> a) -> Stream m a -> Stream m aSource
Scan over a non-empty Stream
with a strict accumulator
scanl1M' :: Monad m => (a -> a -> m a) -> Stream m a -> Stream m aSource
Scan over a non-empty Stream
with a strict accumulator and a monadic
operator
Enumerations
enumFromStepN :: (Num a, Monad m) => a -> a -> Int -> Stream m aSource
Yield a Stream
of the given length containing the values x
, x+y
,
x+y+y
etc.
enumFromTo :: (Enum a, Monad m) => a -> a -> Stream m aSource
Enumerate values
WARNING: This operation can be very inefficient. If at all possible, use
enumFromStepN
instead.
enumFromThenTo :: (Enum a, Monad m) => a -> a -> a -> Stream m aSource
Enumerate values with a given step.
WARNING: This operation is very inefficient. If at all possible, use
enumFromStepN
instead.