package lwd

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Sequence manipulation

Lwd_seq is an ordered collection with a pure interface. Changes to collections are easy to track.

A collection can be transformed with the usual map, filter and fold combinators. If the collection is updated, shared elements (in the sense of physical sharing), the result of the previous transformation will be reused for these elements.

The book-keeping overhead is O(n) in the number of changes, so O(1) per element.

type !+'a t
type !+'a seq = 'a t

The type of sequences

Primitive constructors

val empty : 'a seq

A sequence with no element.

val element : 'a -> 'a seq

A singleton sequence. The physical identity of the element is considered when reusing previous computations.

If you do:

let x1 = element x
let x2 = element x

Then x1 and x2 are seen as different elements and no sharing will be done during transformation.

val concat : 'a seq -> 'a seq -> 'a seq

Concatenate two sequences into a bigger one. As for element, the physical identity of a sequence is considered for reuse.

Looking at sequence contents

type ('a, 'b) view =
  1. | Empty
  2. | Element of 'a
  3. | Concat of 'b * 'b
val view : 'a seq -> ('a, 'a seq) view

View how a sequence is defined

Conversion between sequences, lists and arrays

val transform_list : 'a list -> ('a -> 'b seq) -> 'b seq

Produce a sequence by transforming each element of a list and concatenating all results.

val transform_array : 'a array -> ('a -> 'b seq) -> 'b seq

Produce a sequence by transforming each element of an array and concatenating all results.

val of_list : 'a list -> 'a seq

Produce a sequence from a list

val of_array : 'a array -> 'a seq

Produce a sequence from an array

val to_list : 'a seq -> 'a list

Produce a list from a sequence

val to_array : 'a seq -> 'a array

Produce an array from a sequence

Balanced variant of sequences

module Balanced : sig ... end

A variant of the sequence type that guarantees that the depth of a transformation, measured as the number of nested concat nodes, grows in O(log n) where n is the number of elements in the sequnce.

Transforming sequences

All sequences live in Lwd monad: if a sequence changes slightly, parts that have not changed will not be re-transformed.

val fold : map:('a -> 'b) -> reduce:('b -> 'b -> 'b) -> 'a seq Lwd.t -> 'b option Lwd.t

fold ~map ~reduce transforms a sequence. If the sequence is non-empty, the map function is applied to element nodes and the reduce function is used to combine transformed concatenated nodes. If the sequence is empty, None is returned.

val fold_monoid : ('a -> 'b) -> 'b Lwd_utils.monoid -> 'a seq Lwd.t -> 'b Lwd.t

Like fold, but reduction and default value are defined by a monoid

val map : ('a -> 'b) -> 'a seq Lwd.t -> 'b seq Lwd.t

map f transforms a sequence by applying f to each element.

val filter : ('a -> bool) -> 'a seq Lwd.t -> 'a seq Lwd.t

filter p transforms a sequence by keeping elements that satisfies p.

val filter_map : ('a -> 'b option) -> 'a seq Lwd.t -> 'b seq Lwd.t

Filter and map elements at the same time

val lift : 'a Lwd.t seq Lwd.t -> 'a seq Lwd.t

Remove a layer of Lwd inside a sequence.

val bind : 'a seq Lwd.t -> ('a -> 'b seq Lwd.t) -> 'b seq Lwd.t

Sequence forms a monad too...

val seq_bind : 'a seq Lwd.t -> ('a -> 'b seq) -> 'b seq Lwd.t

Sequence forms a monad too...

val monoid : 'a t Lwd_utils.monoid

Monoid instance for sequences

val lwd_monoid : 'a t Lwd.t Lwd_utils.monoid

Monoid instance for reactive sequences

val sort_uniq : ('a -> 'a -> int) -> 'a seq Lwd.t -> 'a seq Lwd.t

Low-level interface for observing changes

module Reducer : sig ... end
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