Safe Haskell | Safe-Infered |
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"Open" functions, working on functors instead of trees.

- toList :: Foldable t => t a -> [a]
- mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)
- mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)
- mapAccumL_ :: Traversable f => (a -> b -> (a, c)) -> a -> f b -> f c
- mapAccumR_ :: Traversable f => (a -> b -> (a, c)) -> a -> f b -> f c
- holes :: Traversable f => f a -> f (a, a -> f a)
- holesList :: Traversable f => f a -> [(a, a -> f a)]
- apply :: Traversable f => (a -> a) -> f a -> f (f a)
- builder :: Traversable f => f a -> [b] -> f b
- project :: Foldable f => Int -> f a -> Maybe a
- unsafeProject :: Foldable f => Int -> f a -> a
- sizeF :: Foldable f => f a -> Int
- enumerate :: Traversable f => f a -> (Int, f (Int, a))
- enumerateWith :: Traversable f => (Int -> a -> b) -> f a -> (Int, f b)
- enumerateWith_ :: Traversable f => (Int -> a -> b) -> f a -> f b
- data Shape f
- shape :: Functor f => f a -> Shape f
- zipF :: (Traversable f, EqF f) => f a -> f b -> Maybe (f (a, b))
- unzipF :: Functor f => f (a, b) -> (f a, f b)
- zipWithF :: (Traversable f, EqF f) => (a -> b -> c) -> f a -> f b -> Maybe (f c)
- unsafeZipWithF :: Traversable f => (a -> b -> c) -> f a -> f b -> f c
- zipWithFM :: (Traversable f, EqF f, Monad m) => (a -> b -> m c) -> f a -> f b -> m (Maybe (f c))
- unsafeZipWithFM :: (Traversable f, Monad m) => (a -> b -> m c) -> f a -> f b -> m (f c)

# Documentation

# Accumulating maps

mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)

mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)

mapAccumL_ :: Traversable f => (a -> b -> (a, c)) -> a -> f b -> f cSource

mapAccumR_ :: Traversable f => (a -> b -> (a, c)) -> a -> f b -> f cSource

# Open functions

holes :: Traversable f => f a -> f (a, a -> f a)Source

The children together with functions replacing that particular child.

holesList :: Traversable f => f a -> [(a, a -> f a)]Source

apply :: Traversable f => (a -> a) -> f a -> f (f a)Source

Apply the given function to each child in turn.

builder :: Traversable f => f a -> [b] -> f bSource

Builds up a structure from a list of the children. It is unsafe in the sense that it will throw an exception if there are not enough elements in the list.

# Individual elements

unsafeProject :: Foldable f => Int -> f a -> aSource

sizeF :: Foldable f => f a -> IntSource

Number of children. This is the generalization of `length`

to foldable functors:

sizeF x = length (toList x)

# Enumerations

enumerate :: Traversable f => f a -> (Int, f (Int, a))Source

Enumerates children from the left to the right, starting with zero.
Also returns the number of children. This is just a simple application
of `mapAccumL`

.

enumerateWith :: Traversable f => (Int -> a -> b) -> f a -> (Int, f b)Source

enumerateWith_ :: Traversable f => (Int -> a -> b) -> f a -> f bSource

# Zips

A type encoding the "shape" of the functor data: We ignore all the fields whose type is the parameter type, but remember the rest:

newtype Shape f = Shape { unShape :: f () }

This can be used to decide whether two realizations are compatible.

zipF :: (Traversable f, EqF f) => f a -> f b -> Maybe (f (a, b))Source

Zips two structures if they are compatible.

zipWithF :: (Traversable f, EqF f) => (a -> b -> c) -> f a -> f b -> Maybe (f c)Source

Zipping two structures using a function.

unsafeZipWithF :: Traversable f => (a -> b -> c) -> f a -> f b -> f cSource

Unsafe version of `zipWithF`

: does not check if the two structures are compatible.
It is left-biased in the sense that the structure of the second argument is retained.

zipWithFM :: (Traversable f, EqF f, Monad m) => (a -> b -> m c) -> f a -> f b -> m (Maybe (f c))Source

Monadic version of `zipWithF`

. TODO: better name?

unsafeZipWithFM :: (Traversable f, Monad m) => (a -> b -> m c) -> f a -> f b -> m (f c)Source