- fold :: (Foldable f, Monoid m, Eq m) => (Int -> m) -> f m -> m
- foldBy :: (Foldable f, Monoid m) => (m -> m -> Bool) -> (Int -> m) -> f m -> m
- foldMap :: (Foldable f, Monoid m, Eq m) => (Int -> m) -> (a -> m) -> f a -> m
- foldMapBy :: (Foldable f, Monoid m) => (m -> m -> Bool) -> (Int -> m) -> (a -> m) -> f a -> m
- foldr :: (Foldable f, Eq b) => (Int -> b) -> (a -> b -> b) -> b -> f a -> b
- foldrBy :: Foldable f => (b -> b -> Bool) -> (Int -> b) -> (a -> b -> b) -> b -> f a -> b
- foldl :: (Foldable f, Eq b) => (Int -> b) -> (b -> a -> b) -> b -> f a -> b
- foldlBy :: Foldable f => (b -> b -> Bool) -> (Int -> b) -> (b -> a -> b) -> b -> f a -> b
- foldr1 :: (Foldable f, Eq a) => (Int -> a) -> (a -> a -> a) -> f a -> a
- foldr1By :: Foldable f => (a -> a -> Bool) -> (Int -> a) -> (a -> a -> a) -> f a -> a
- foldl1 :: (Foldable f, Eq a) => (Int -> a) -> (a -> a -> a) -> f a -> a
- foldl1By :: Foldable f => (a -> a -> Bool) -> (Int -> a) -> (a -> a -> a) -> f a -> a
- foldrM :: (Foldable f, Monad m, Eq (m b)) => (Int -> m b) -> (a -> b -> m b) -> m b -> f a -> m b
- foldrByM :: (Foldable f, Monad m) => (m b -> m b -> Bool) -> (Int -> m b) -> (a -> b -> m b) -> m b -> f a -> m b
- foldlM :: (Foldable f, Monad m, Eq (m b)) => (Int -> m b) -> (b -> a -> m b) -> m b -> f a -> m b
- foldlByM :: (Foldable f, Monad m) => (m b -> m b -> Bool) -> (Int -> m b) -> (b -> a -> m b) -> m b -> f a -> m b
- foldrSTM :: (Foldable f, Eq b) => (Int -> STM b) -> (a -> b -> STM b) -> STM b -> f a -> STM b
- foldrBySTM :: Foldable f => (b -> b -> Bool) -> (Int -> STM b) -> (a -> b -> STM b) -> STM b -> f a -> STM b
- foldlSTM :: (Foldable f, Eq a) => (Int -> STM a) -> (a -> b -> STM a) -> STM a -> f b -> STM a
- foldlBySTM :: Foldable f => (a -> a -> Bool) -> (Int -> STM a) -> (a -> b -> STM a) -> STM a -> f b -> STM a
- traverse_ :: (Foldable t, Applicative f, Eq (f ())) => (Int -> f c) -> (a -> f b) -> t a -> f ()
- traverseBy_ :: (Foldable t, Applicative f) => (f () -> f () -> Bool) -> (Int -> f c) -> (a -> f b) -> t a -> f ()
- for_ :: (Foldable t, Applicative f, Eq (f ())) => (Int -> f c) -> t a -> (a -> f b) -> f ()
- forBy_ :: (Foldable t, Applicative f) => (f () -> f () -> Bool) -> (Int -> f c) -> t a -> (a -> f b) -> f ()
- sequenceA_ :: (Foldable t, Applicative f, Eq (f ())) => (Int -> f b) -> t (f a) -> f ()
- sequenceByA_ :: (Foldable t, Applicative f, Eq (f ())) => (f () -> f () -> Bool) -> (Int -> f b) -> t (f a) -> f ()
- asum :: (Foldable t, Alternative f, Eq (f a)) => (Int -> f a) -> t (f a) -> f a
- asumBy :: (Foldable t, Alternative f) => (f a -> f a -> Bool) -> (Int -> f a) -> t (f a) -> f a
- mapM_ :: (Foldable t, Monad m, Eq (m ())) => (Int -> m c) -> (a -> m b) -> t a -> m ()
- mapByM_ :: (Foldable t, Monad m) => (m () -> m () -> Bool) -> (Int -> m c) -> (a -> m b) -> t a -> m ()
- forM_ :: (Foldable t, Monad m, Eq (m ())) => (Int -> m c) -> t a -> (a -> m b) -> m ()
- forByM_ :: (Foldable t, Monad m) => (m () -> m () -> Bool) -> (Int -> m c) -> t a -> (a -> m b) -> m ()
- sequence_ :: (Foldable t, Monad m, Eq (m ())) => (Int -> m b) -> t (m a) -> m ()
- sequenceBy_ :: (Foldable t, Monad m) => (m () -> m () -> Bool) -> (Int -> m b) -> t (m a) -> m ()
- msum :: (Foldable t, MonadPlus m, Eq (m a)) => (Int -> m a) -> t (m a) -> m a
- msumBy :: (Foldable t, MonadPlus m) => (m a -> m a -> Bool) -> (Int -> m a) -> t (m a) -> m a
- mapSTM_ :: Foldable t => (Int -> STM c) -> (a -> STM b) -> t a -> STM ()
- forSTM_ :: Foldable t => (Int -> STM c) -> t a -> (a -> STM b) -> STM ()
- sequenceSTM_ :: Foldable t => (Int -> STM a) -> t (STM b) -> STM ()
- toList :: (Foldable t, Eq a) => (Int -> [a]) -> t a -> [a]
- toListBy :: Foldable t => ([a] -> [a] -> Bool) -> (Int -> [a]) -> t a -> [a]
- concat :: (Foldable t, Eq a) => (Int -> [a]) -> t [a] -> [a]
- concatBy :: Foldable t => ([a] -> [a] -> Bool) -> (Int -> [a]) -> t [a] -> [a]
- concatMap :: (Foldable t, Eq b) => (Int -> [b]) -> (a -> [b]) -> t a -> [b]
- concatMapBy :: Foldable t => ([b] -> [b] -> Bool) -> (Int -> [b]) -> (a -> [b]) -> t a -> [b]
- all :: Foldable t => (Int -> Bool) -> (a -> Bool) -> t a -> Bool
- any :: Foldable t => (Int -> Bool) -> (a -> Bool) -> t a -> Bool
- and :: Foldable t => (Int -> Bool) -> t Bool -> Bool
- or :: Foldable t => (Int -> Bool) -> t Bool -> Bool
- sum :: (Foldable t, Num a) => (Int -> a) -> t a -> a
- sumBy :: (Foldable t, Num a) => (a -> a -> Bool) -> (Int -> a) -> t a -> a
- product :: (Foldable t, Num a) => (Int -> a) -> t a -> a
- productBy :: (Foldable t, Num a) => (a -> a -> Bool) -> (Int -> a) -> t a -> a
- maximum :: (Foldable t, Ord a) => (Int -> a) -> t a -> a
- maximumBy :: Foldable t => (a -> a -> Ordering) -> (Int -> a) -> t a -> a
- minimum :: (Foldable t, Ord a) => (Int -> a) -> t a -> a
- minimumBy :: Foldable t => (a -> a -> Ordering) -> (Int -> a) -> t a -> a
- elem :: (Foldable t, Eq a) => (Int -> Bool) -> a -> t a -> Bool
- elemBy :: Foldable t => (a -> a -> Bool) -> (Int -> Bool) -> a -> t a -> Bool
- notElem :: (Foldable t, Eq a) => (Int -> Bool) -> a -> t a -> Bool
- notElemBy :: Foldable t => (a -> a -> Bool) -> (Int -> Bool) -> a -> t a -> Bool
- find :: (Foldable t, Eq a) => (Int -> Maybe a) -> (a -> Bool) -> t a -> Maybe a
- findBy :: Foldable t => (Maybe a -> Maybe a -> Bool) -> (Int -> Maybe a) -> (a -> Bool) -> t a -> Maybe a

# Speculative folds

fold :: (Foldable f, Monoid m, Eq m) => (Int -> m) -> f m -> mSource

Given a valid estimate `g`

,

yields the same answer as `fold`

g f xs

.
`fold`

f xs

`g n`

should supply an estimate of the value of the monoidal summation over the last `n`

elements of the container.

If `g n`

is accurate a reasonable percentage of the time and faster to compute than the fold, then this can
provide increased opportunities for parallelism.

foldMap :: (Foldable f, Monoid m, Eq m) => (Int -> m) -> (a -> m) -> f a -> mSource

Given a valid estimate `g`

,

yields the same answer as `foldMap`

g f xs

.
`foldMap`

f xs

`g n`

should supply an estimate of the value of the monoidal summation over the last `n`

elements of the container.

If `g n`

is accurate a reasonable percentage of the time and faster to compute than the fold, then this can
provide increased opportunities for parallelism.

foldr :: (Foldable f, Eq b) => (Int -> b) -> (a -> b -> b) -> b -> f a -> bSource

Given a valid estimator `g`

,

yields the same answer as `foldr`

g f z xs

.
`foldr'`

f z xs

`g n`

should supply an estimate of the value returned from folding over the last `n`

elements of the container.

If `g n`

is accurate a reasonable percentage of the time and faster to compute than the fold, then this can
provide increased opportunities for parallelism.

foldl :: (Foldable f, Eq b) => (Int -> b) -> (b -> a -> b) -> b -> f a -> bSource

Given a valid estimator `g`

,

yields the same answer as `foldl`

g f z xs

.
`foldl'`

f z xs

`g n`

should supply an estimate of the value returned from folding over the first `n`

elements of the container.

`g n`

is accurate a reasonable percentage of the time and faster to compute than the fold, then this can
provide increased opportunities for parallelism.

## Speculative monadic folds

foldrM :: (Foldable f, Monad m, Eq (m b)) => (Int -> m b) -> (a -> b -> m b) -> m b -> f a -> m bSource

foldrByM :: (Foldable f, Monad m) => (m b -> m b -> Bool) -> (Int -> m b) -> (a -> b -> m b) -> m b -> f a -> m bSource

foldlM :: (Foldable f, Monad m, Eq (m b)) => (Int -> m b) -> (b -> a -> m b) -> m b -> f a -> m bSource

foldlByM :: (Foldable f, Monad m) => (m b -> m b -> Bool) -> (Int -> m b) -> (b -> a -> m b) -> m b -> f a -> m bSource

# Speculative transactional monadic folds

foldrSTM :: (Foldable f, Eq b) => (Int -> STM b) -> (a -> b -> STM b) -> STM b -> f a -> STM bSource

foldrBySTM :: Foldable f => (b -> b -> Bool) -> (Int -> STM b) -> (a -> b -> STM b) -> STM b -> f a -> STM bSource

foldlSTM :: (Foldable f, Eq a) => (Int -> STM a) -> (a -> b -> STM a) -> STM a -> f b -> STM aSource

foldlBySTM :: Foldable f => (a -> a -> Bool) -> (Int -> STM a) -> (a -> b -> STM a) -> STM a -> f b -> STM aSource

# Folding actions

## Applicative actions

traverse_ :: (Foldable t, Applicative f, Eq (f ())) => (Int -> f c) -> (a -> f b) -> t a -> f ()Source

Map each element of a structure to an action, evaluate these actions from left to right and ignore the results.

traverseBy_ :: (Foldable t, Applicative f) => (f () -> f () -> Bool) -> (Int -> f c) -> (a -> f b) -> t a -> f ()Source

forBy_ :: (Foldable t, Applicative f) => (f () -> f () -> Bool) -> (Int -> f c) -> t a -> (a -> f b) -> f ()Source

sequenceA_ :: (Foldable t, Applicative f, Eq (f ())) => (Int -> f b) -> t (f a) -> f ()Source

sequenceByA_ :: (Foldable t, Applicative f, Eq (f ())) => (f () -> f () -> Bool) -> (Int -> f b) -> t (f a) -> f ()Source

asumBy :: (Foldable t, Alternative f) => (f a -> f a -> Bool) -> (Int -> f a) -> t (f a) -> f aSource

## Monadic actions

mapM_ :: (Foldable t, Monad m, Eq (m ())) => (Int -> m c) -> (a -> m b) -> t a -> m ()Source

Map each element of the structure to a monadic action, evaluating these actions from left to right and ignoring the results.

mapByM_ :: (Foldable t, Monad m) => (m () -> m () -> Bool) -> (Int -> m c) -> (a -> m b) -> t a -> m ()Source

forByM_ :: (Foldable t, Monad m) => (m () -> m () -> Bool) -> (Int -> m c) -> t a -> (a -> m b) -> m ()Source

sequenceBy_ :: (Foldable t, Monad m) => (m () -> m () -> Bool) -> (Int -> m b) -> t (m a) -> m ()Source

## Speculative transactional monadic actions

mapSTM_ :: Foldable t => (Int -> STM c) -> (a -> STM b) -> t a -> STM ()Source

Map each element of the structure to a monadic action, evaluating these actions from left to right and ignoring the results, while transactional side-effects from mis-speculated actions are rolled back.

# Specialized folds

concatMapBy :: Foldable t => ([b] -> [b] -> Bool) -> (Int -> [b]) -> (a -> [b]) -> t a -> [b]Source