Map an action on the input argument of the Unfold.
lmapM f = Unfold.many (Unfold.functionM f)
:: a typeCtrl KGHC 9.10.3 · lts/ghc-9.10.x · 248f8f0 · 2026-10-05
Modulestreamly-core-0.2.2Haskell2010
To execute the code examples provided in this module in ghci, please run the following commands first.
:mimport Streamly.Data.Unfold (Unfold)import qualified Streamly.Data.Fold as Foldimport qualified Streamly.Data.Stream as Streamimport qualified Streamly.Data.Unfold as Unfold
For APIs that have not been released yet.
import qualified Streamly.Internal.Data.Unfold as UnfoldMap an action on the input argument of the Unfold.
lmapM f = Unfold.many (Unfold.functionM f)
An Unfold m a b is a generator of a stream of values of type b from a
seed of type a in Monad m.
Discards the unfold input and always returns the argument of fromPure.
fromPure = fromEffect . purePre-release
Convert a list of pure values to a Stream
End the stream generated by the Unfold as soon as the predicate fails on an element.
Apply a monadic function to each element of the stream and replace it with the output of the resulting action.
mapM f = Unfold.mapM2 (const f)Like zipWithM but with a pure zip function.
square = fmap (\x -> x * x) Unfold.fromListcube = fmap (\x -> x * x * x) Unfold.fromListu = Unfold.zipWith (,) square cubeUnfold.fold Fold.toList u [1..5][(1,1),(4,8),(9,27),(16,64),(25,125)]
zipWith f = zipWithM (\a b -> return $ f a b)Distribute the input to two unfolds and then zip the outputs to a single stream using a monadic zip function.
Stops as soon as any of the unfolds stops.
Pre-release
Map a function on the output of the unfold (the type b).
map f = Unfold.map2 (const f)Pre-release
The unfold discards its input and generates a function stream using the supplied monadic action.
Pre-release
Supply the first component of the tuple to an unfold that accepts a tuple as a seed resulting in a fold that accepts the second component of the tuple as a seed.
first a = Unfold.lmap (a, )
Pre-release
Apply the first unfold to each output element of the second unfold and flatten the output in a single stream.
many u = Unfold.many2 (Unfold.lmap snd u)Supply the second component of the tuple to an unfold that accepts a tuple as a seed resulting in a fold that accepts the first component of the tuple as a seed.
second b = Unfold.lmap (, b)
Pre-release
Map a function on the input argument of the Unfold.
u = Unfold.lmap (fmap (+1)) Unfold.fromListUnfold.fold Fold.toList u [1..5][2,3,4,5,6]
lmap f = Unfold.many (Unfold.function f)
Like unfoldrM but uses a pure step function.
:{ f [] = Nothing f (x:xs) = Just (x, xs):}
Unfold.fold Fold.toList (Unfold.unfoldr f) [1,2,3][1,2,3]
Build a stream by unfolding a monadic step function starting from a seed. The step function returns the next element in the stream and the next seed value. When it is done it returns Nothing and the stream ends.
Same as takeWhile but with a monadic predicate.
Like crossWithM but uses a pure combining function.
crossWith f = crossWithM (\b c -> return $ f b c)u1 = Unfold.lmap fst Unfold.fromListu2 = Unfold.lmap snd Unfold.fromListu = Unfold.crossWith (,) u1 u2Unfold.fold Fold.toList u ([1,2,3], [4,5,6])[(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)]
Map an unfold generating action to each element of an unfold and flatten the results into a single stream.
Lift a pure function into an unfold. The unfold generates a singleton stream.
function f = functionM $ return . fLift a monadic function into an unfold. The unfold generates a singleton stream.
See crossWith.
Definition:
cross = Unfold.crossWith (,)To create a cross product of the streams generated from a tuple we can write:
:{cross :: Monad m => Unfold m a b -> Unfold m c d -> Unfold m (a, c) (b, d)cross u1 u2 = Unfold.cross (Unfold.lmap fst u1) (Unfold.lmap snd u2):}
Pre-release
Outer product discarding the second element.
Unimplemented
Outer product discarding the first element.
Unimplemented
Make an unfold from step and inject functions.
Pre-release
Identity unfold. The unfold generates a singleton stream having the input as the only element.
identity = function Prelude.idPre-release
map2 f = Unfold.mapM2 (\a b -> pure (f a b))Note that the seed may mutate (e.g. if the seed is a Handle or IORef) as stream is generated from it, so we need to be careful when reusing the seed while the stream is being generated from it.
Supply the seed to an unfold closing the input end of the unfold.
both a = Unfold.lmap (Prelude.const a)
Pre-release
ConcatOuter s1ConcatInner s1 s2Streamly.Internal.Data.Stream.unfoldManyInterleave for
documentation and notes.
This is almost identical to unfoldManyInterleave in StreamD module.
The many combinator is in fact manyAppend to be more explicit in naming.
Internal
Create a cross product (vector product or cartesian product) of the output streams of two unfolds using a monadic combining function.
f1 f u = Unfold.mapM2 (\(_, c) b -> f b c) (Unfold.lmap fst u)crossWithM f u = Unfold.many2 (f1 f u)
Pre-release
Lift a monadic function into an unfold generating a nil stream with a side effect.
An empty stream.
Prepend a monadic single element generator function to an Unfold. The same seed is used in the action as well as the unfold.
Pre-release
Generate a monadic stream from a seed.
Generates an infinite stream repeating the seed.
Given a seed (n, action), generates a stream replicating the action n
times.
fromIndicesM gen generates an infinite stream of values using gen
starting from the seed.
fromIndicesM f = Unfold.mapM f $ Unfold.enumerateFrom 0
Pre-release
Generates an infinite stream starting with the given seed and applying the given function repeatedly.
Types that can be enumerated as a stream. The operations in this type
class are equivalent to those in the Enum type class, except that these
generate a stream instead of a list. Use the functions in
Streamly.Internal.Data.Unfold.Enumeration module to define new instances.
Pre-release
enumerateFrom :: Monad m => Unfold m a aUnfolds from generating a stream starting with the element
from, enumerating up to maxBound when the type is Bounded or
generating an infinite stream when the type is not Bounded.
Stream.toList $ Stream.take 4 $ Stream.unfold Unfold.enumerateFrom (0 :: Int)[0,1,2,3]
For Fractional types, enumeration is numerically stable. However, no overflow or underflow checks are performed.
Stream.toList $ Stream.take 4 $ Stream.unfold Unfold.enumerateFrom 1.1[1.1,2.1,3.1,4.1]
Pre-release
enumerateFromTo :: Monad m => Unfold m (a, a) aUnfolds (from, to) generating a finite stream starting with the element
from, enumerating the type up to the value to. If to is smaller than
from then an empty stream is returned.
Stream.toList $ Stream.unfold Unfold.enumerateFromTo (0, 4)[0,1,2,3,4]
For Fractional types, the last element is equal to the specified to
value after rounding to the nearest integral value.
Stream.toList $ Stream.unfold Unfold.enumerateFromTo (1.1, 4)[1.1,2.1,3.1,4.1]
Stream.toList $ Stream.unfold Unfold.enumerateFromTo (1.1, 4.6)[1.1,2.1,3.1,4.1,5.1]
Pre-release
enumerateFromThen :: Monad m => Unfold m (a, a) aUnfolds (from, then) generating a stream whose first element is
from and the successive elements are in increments of then. Enumeration
can occur downwards or upwards depending on whether then comes before or
after from. For Bounded types the stream ends when maxBound is
reached, for unbounded types it keeps enumerating infinitely.
Stream.toList $ Stream.take 4 $ Stream.unfold Unfold.enumerateFromThen (0, 2)[0,2,4,6]
Stream.toList $ Stream.take 4 $ Stream.unfold Unfold.enumerateFromThen (0,(-2))[0,-2,-4,-6]
Pre-release
enumerateFromThenTo :: Monad m => Unfold m (a, a, a) aUnfolds (from, then, to) generating a finite stream whose first element
is from and the successive elements are in increments of then up to
to. Enumeration can occur downwards or upwards depending on whether then
comes before or after from.
Stream.toList $ Stream.unfold Unfold.enumerateFromThenTo (0, 2, 6)[0,2,4,6]
Stream.toList $ Stream.unfold Unfold.enumerateFromThenTo (0, (-2), (-6))[0,-2,-4,-6]
Pre-release
Enumerable IntegerDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable NaturalDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Int16Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Int32Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Int64Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Int8Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Word16Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Word32Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Word64Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable Word8Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable BoolDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable CharDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable DoubleDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable FloatDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable IntDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable OrderingDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable WordDefined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable ()Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationIntegral a => Enumerable (Ratio a)Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationEnumerable a => Enumerable (Identity a)Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationHasResolution a => Enumerable (Fixed a)Defined in streamly-core-0.2.2 · Streamly.Internal.Data.Unfold.EnumerationUnfolds (from, stride) generating an infinite stream starting from
from and incrementing every time by stride. For Bounded types, after
the value overflows it keeps enumerating in a cycle:
>>> Stream.toList $ Stream.take 10 $ Stream.unfold Unfold.enumerateFromStepNum (255::Word8,1)
[255,0,1,2,3,4,5,6,7,8]
The implementation is numerically stable for floating point values.
Note enumerateFromStepIntegral is faster for integrals.
Internal
Same as enumerateFromStepNum using a stride of 1:
>>> enumerateFromNum = lmap (from -> (from, 1)) Unfold.enumerateFromStepNum
>>> Stream.toList $ Stream.take 6 $ Stream.unfold enumerateFromNum (0.9)
[0.9,1.9,2.9,3.9,4.9,5.9]
Also, same as enumerateFromThenNum using a stride of 1 but see the note in enumerateFromThenNum about the loss of precision:
>>> enumerateFromNum = lmap (from -> (from, from + 1)) Unfold.enumerateFromThenNum
>>> Stream.toList $ Stream.take 6 $ Stream.unfold enumerateFromNum (0.9)
[0.9,1.9,2.9,3.8999999999999995,4.8999999999999995,5.8999999999999995]
Internal
Same as 'enumerateFromStepNum (from, next)' using a stride of next - from:
>>> enumerateFromThenNum = lmap ((from, next) -> (from, next - from)) Unfold.enumerateFromStepNum
Example: @ >>> Stream.toList $ Stream.take 10 $ Stream.unfold enumerateFromThenNum (255::Word8,0) [255,0,1,2,3,4,5,6,7,8]
The implementation is numerically stable for floating point values.
Note that enumerateFromThenIntegral is faster for integrals.
Note that in the strange world of floating point numbers, using
enumerateFromThenNum (from, from + 1) is almost exactly the same as
enumerateFromStepNum (from, 1) but not precisely the same. Because (from +
1) - from is not exactly 1, it may lose some precision, the loss may also
be aggregated in each step, if you want that precision then use
enumerateFromStepNum instead.
Internal
Enumerate from given starting Enum value from and to Enum value to
with stride of 1 till to value.
Internal
Enumerate from given starting Enum value from and then Enum value next
and to Enum value to with stride of (fromEnum next - fromEnum from)
till to value.
Internal
Enumerate from given starting Enum value from and next Enum value next
with stride of (fromEnum next - fromEnum from) till maxBound.
Internal
Can be used to enumerate unbounded integrals. This does not check for overflow or underflow for bounded integrals.
Internal
Same as enumerateFromStepNum with a step of 1 and enumerating up to the specified upper limit rounded to the nearest integral value:
>>> Stream.toList $ Stream.unfold Unfold.enumerateFromToFractional (0.1, 6.3)
[0.1,1.1,2.1,3.1,4.1,5.1,6.1]
Internal
Enumerate from given starting Enum value from with stride of 1 till
maxBound
Internal
Convert a list of monadic values to a Stream
Convert an Unfold into an unfold accepting a tuple as an argument, using the argument of the original fold as the second element of tuple and discarding the first element of the tuple.
discardFirst = Unfold.lmap snd
Pre-release
Convert an Unfold into an unfold accepting a tuple as an argument, using the argument of the original fold as the first element of tuple and discarding the second element of the tuple.
discardSecond = Unfold.lmap fst
Pre-release
Convert an Unfold that accepts a tuple as an argument into an unfold that accepts a tuple with elements swapped.
swap = Unfold.lmap Tuple.swap
Pre-release
Compose an Unfold and a Fold. Given an Unfold m a b and a
Fold m b c, returns a monadic action a -> m c representing the
application of the fold on the unfolded stream.
Unfold.fold Fold.sum Unfold.fromList [1..100]5050
fold f u = Stream.fold f . Stream.unfold uPre-release
Scan the output of an Unfold to change it in a stateful manner.
Pre-release
Scan the output of an Unfold to change it in a stateful manner.
Pre-release
Scan the output of an Unfold to change it in a stateful manner. Once fold is done it will stop.
u = Unfold.scan (Fold.take 2 Fold.sum) Unfold.fromListUnfold.fold Fold.toList u [1,2,3,4,5][0,1,3]
Pre-release
Scan the output of an Unfold to change it in a stateful manner. Once fold is done it will restart from its initial state.
u = Unfold.scanMany (Fold.take 2 Fold.sum) Unfold.fromListUnfold.fold Fold.toList u [1,2,3,4,5][0,1,3,0,3,7,0,5]
Pre-release
Apply a fold multiple times on the output of an unfold.
Pre-release
Choose left or right unfold based on an either input.
Pre-release
u = Unfold.take 2 Unfold.fromListUnfold.fold Fold.toList u [1..100][1,2]
Include only those elements that pass a predicate.
Same as filter but with a monadic predicate.
drop n unf drops n elements from the stream generated by unf.
Similar to dropWhileM but with a pure condition function.
dropWhileM f unf drops elements from the stream generated by unf while
the condition holds true. The condition function f is monadic in nature.
bracket is the most general resource management operation, all other
operations can be expressed using it. These functions have IO suffix
because the allocation and cleanup functions are IO actions. For
generalized allocation and cleanup functions see the functions without
the IO suffix in the "streamly" package.
gbracket_ Like gbracketIO but with following differences:
alloc action a -> m c runs with async exceptions enabled
cleanup action c -> m d won't run if the stream is garbage collected
after partial evaluation.
Inhibits stream fusion
Pre-release
gbracketIO Run the alloc action a -> m c with async exceptions disabled but keeping
blocking operations interruptible (see mask). Use the
output c as input to Unfold m c b to generate an output stream. When
unfolding use the supplied try operation forall s. m s -> m (Either e s)
to catch synchronous exceptions. If an exception occurs run the exception
handling unfold Unfold m (c, e) b.
The cleanup action c -> m d, runs whenever the stream ends normally, due
to a sync or async exception or if it gets garbage collected after a partial
lazy evaluation. See bracket for the semantics of the cleanup action.
gbracket can express all other exception handling combinators.
Inhibits stream fusion
Pre-release
Run a side effect a -> m c on the input a before unfolding it using
Unfold m a b.
before f = lmapM (\a -> f a >> return a)Pre-release
Unfold the input a using Unfold m a b, run an action on a whenever
the unfold stops normally, or if it is garbage collected after a partial
lazy evaluation.
The semantics of the action a -> m c are similar to the cleanup action
semantics in bracket.
See also after_
Pre-release
Like after with following differences:
action a -> m c won't run if the stream is garbage collected
after partial evaluation.
Monad m does not require any other constraints.
Pre-release
Unfold the input a using Unfold m a b, run an action on a whenever
the unfold stops normally, aborts due to an exception or if it is garbage
collected after a partial lazy evaluation.
The semantics of the action a -> m c are similar to the cleanup action
semantics in bracket.
finally release = bracket return release
See also finally_
Inhibits stream fusion
Pre-release
Like finallyIO with following differences:
action a -> m c won't run if the stream is garbage collected
after partial evaluation.
Inhibits stream fusion
Pre-release
Run the alloc action a -> m c with async exceptions disabled but keeping
blocking operations interruptible (see mask). Use the
output c as input to Unfold m c b to generate an output stream.
c is usually a resource under the state of monad m, e.g. a file
handle, that requires a cleanup after use. The cleanup action c -> m d,
runs whenever the stream ends normally, due to a sync or async exception or
if it gets garbage collected after a partial lazy evaluation.
bracket only guarantees that the cleanup action runs, and it runs with
async exceptions enabled. The action must ensure that it can successfully
cleanup the resource in the face of sync or async exceptions.
When the stream ends normally or on a sync exception, cleanup action runs immediately in the current thread context, whereas in other cases it runs in the GC context, therefore, cleanup may be delayed until the GC gets to run.
See also: bracket_, gbracket
Inhibits stream fusion
Pre-release
Like bracketIO but with following differences:
alloc action a -> m c runs with async exceptions enabled
cleanup action c -> m d won't run if the stream is garbage collected
after partial evaluation.
Inhibits stream fusion
Pre-release
Most of these combinators inhibit stream fusion, therefore, when possible, they should be called in an outer loop to mitigate the cost. For example, instead of calling them on a stream of chars call them on a stream of arrays before flattening it to a stream of chars.
Unfold the input a using Unfold m a b, run the action a -> m c on
a if the unfold aborts due to an exception.
Inhibits stream fusion
Pre-release
When unfolding Unfold m a b if an exception e occurs, unfold e using
Unfold m e b.
Inhibits stream fusion
Pre-release