Module Generic_fun.Uniplate

module Uniplate: Generic_fun_uniplate

val scrap : 'a Ty.T.ty -> 'a -> 'a list * ('a list -> 'a)
Scrap a returns the list of children of type a of a value of type a and a function to replace the children. That function should be given a list of the same size as the children list.

x == let (children, replace) = scrap a b x in replace children

val children : 'a Ty.T.ty -> 'a -> 'a list
The list of children of type a of a value of type a
val replace_children : 'a Ty.T.ty -> 'a -> 'a list -> 'a
Replacing the children of a value with new children. The list should contain exactly the number of required children.

(Alternative specification: additional children are ignored, and if not enough are given, only the first ones are changed)

val map_children : 'a Ty.T.ty -> ('a -> 'a) -> 'a -> 'a
Replace the children of a value using the given function.
val family : 'a Ty.T.ty -> 'a -> 'a list
A family is a list of descendents. A descendent of a value is either the value itself or a descendent of one of its children. family builds a pre-order family where the value is listed before its descendents
val post_family : 'a Ty.T.ty -> 'a -> 'a list
Generic_fun_uniplate.post_family lists the descendents in post-order: the leaves are first and the root is last
val map_family : 'a Ty.T.ty -> ('a -> 'a) -> 'a -> 'a
Bottom up (Depth-first, post-order) traversal of a value of a recursive type. The given function is applied to each member of the family.
val reduce_family : 'a Ty.T.ty -> ('a -> 'a option) -> 'a -> 'a
given a function that may optionally transform a value, reduce_family returns a function that exhaustively transforms the family of the input. The traversal proceeds bottom-up, first transforming the families of the children. If a transformation succeeds then the result is re-reduce_family-ed.

A post-condition is that the input function returns None on all family members of the output.

val para : 'a Ty.T.ty -> ('a -> 'r list -> 'r) -> 'a -> 'r
Paramorphism. this is a bottom-up

applicative and monadic variants
val traverse_children : 'f Applicative.T.applicative ->
'a Ty.T.ty ->
('a -> ('a, 'f) App.T.app) ->
'a -> ('a, 'f) App.T.app
applicative variant of Generic_fun_uniplate.map_children
val traverse_family : 'f Monad.T.monad ->
'a Ty.T.ty ->
('a -> ('a, 'f) App.T.app) ->
'a -> ('a, 'f) App.T.app
monadic variant of Generic_fun_uniplate.map_family
val mreduce_family : 'f Monad.T.monad ->
'a Ty.T.ty ->
('a -> ('a option, 'f) App.T.app) ->
'a -> ('a, 'f) App.T.app
monadic variant of Generic_fun_uniplate.reduce_family