Safe Haskell | None |
---|---|

Language | Haskell2010 |

All of the functions below work only on «interesting» subterms.
It is up to the instance writer to decide which subterms are
interesting and which subterms should count as immediate. This can
also depend on the context `c`

.

The context, denoted `c`

, is a constraint (of kind `* -> Constraint`

)
that provides additional facilities to work with the data. Most
functions take an implicit parameter `?c :: p c`

; it's
used to disambugate which context you are referring to. `p`

can be
`Proxy`

from the `tagged`

package or any other suitable type
constructor.

For more information, see:

- Scrap your boilerplate with class
- http://research.microsoft.com/en-us/um/people/simonpj/papers/hmap/
- Generalizing generic fold
- http://ro-che.info/articles/2013-03-11-generalizing-gfoldl.html

- class GTraversable c a where
- gmap :: (GTraversable c a, ?c :: p c) => (forall d. c d => d -> d) -> a -> a
- gmapM :: (Monad m, GTraversable c a, ?c :: p c) => (forall d. c d => d -> m d) -> a -> m a
- gfoldMap :: (Monoid r, GTraversable c a, ?c :: p c) => (forall d. c d => d -> r) -> a -> r
- gfoldr :: (GTraversable c a, ?c :: p c) => (forall d. c d => d -> r -> r) -> r -> a -> r
- gfoldl' :: (GTraversable c a, ?c :: p c) => (forall d. c d => r -> d -> r) -> r -> a -> r
- class (GTraversable (Rec c) a, c a) => Rec c a
- everywhere :: forall a c p. (Rec c a, ?c :: p c) => (forall d. Rec c d => d -> d) -> a -> a
- everywhere' :: forall a c p. (Rec c a, ?c :: p c) => (forall d. Rec c d => d -> d) -> a -> a
- everywhereM :: forall m a c p. (Monad m, Rec c a, ?c :: p c) => (forall d. Rec c d => d -> m d) -> a -> m a
- everything :: forall r a c p. (Rec c a, ?c :: p c) => (r -> r -> r) -> (forall d. Rec c d => d -> r) -> a -> r

# Open recursion combinators

class GTraversable c a where Source #

gtraverse :: (Applicative f, ?c :: p c) => (forall d. c d => d -> f d) -> a -> f a Source #

Applicative traversal over (a subset of) immediate subterms. This is
a generic version of `traverse`

from Data.Traversable.

The supplied function is applied only to the «interesting» subterms.

Other subterms are lifted using `pure`

, and the whole structure is
folded back using `<*>`

.

`gtraverse`

has a default implementation `const pure`

, which works for
types without interesting subterms (in particular, atomic types).

gmap :: (GTraversable c a, ?c :: p c) => (forall d. c d => d -> d) -> a -> a Source #

Generic map over the immediate subterms

gmapM :: (Monad m, GTraversable c a, ?c :: p c) => (forall d. c d => d -> m d) -> a -> m a Source #

Generic monadic map over the immediate subterms

gfoldMap :: (Monoid r, GTraversable c a, ?c :: p c) => (forall d. c d => d -> r) -> a -> r Source #

Generic monoidal fold over the immediate subterms (cf. `foldMap`

from
Data.Foldable)

gfoldr :: (GTraversable c a, ?c :: p c) => (forall d. c d => d -> r -> r) -> r -> a -> r Source #

Generic right fold over the immediate subterms

gfoldl' :: (GTraversable c a, ?c :: p c) => (forall d. c d => r -> d -> r) -> r -> a -> r Source #

Generic strict left fold over the immediate subterms

# Closed recursion combinators

class (GTraversable (Rec c) a, c a) => Rec c a Source #

`Rec`

enables "deep traversals".

It is satisfied automatically when its superclass constraints are satisfied — you are not supposed to declare new instances of this class.

(GTraversable (Rec c) a, c a) => Rec c a Source # | |

everywhere :: forall a c p. (Rec c a, ?c :: p c) => (forall d. Rec c d => d -> d) -> a -> a Source #

Apply a transformation everywhere in bottom-up manner

everywhere' :: forall a c p. (Rec c a, ?c :: p c) => (forall d. Rec c d => d -> d) -> a -> a Source #

Apply a transformation everywhere in top-down manner

everywhereM :: forall m a c p. (Monad m, Rec c a, ?c :: p c) => (forall d. Rec c d => d -> m d) -> a -> m a Source #

Monadic variation on everywhere

everything :: forall r a c p. (Rec c a, ?c :: p c) => (r -> r -> r) -> (forall d. Rec c d => d -> r) -> a -> r Source #

Strict left fold over all elements, top-down