Module BatSeq

module BatSeq: sig .. end
Sequence of elements

A sequence represent a collection of elements, for which you never construct the complete representation.

Basically you should use a sequence when you would prefer using a list or a lazy-list but constructing the whole list explicitly would explode your memory.

All functions returning a sequence operates in time and space O(1).

Note that if you want a ``consumable sequence'', you should prefer using enumerations (from module BatEnum).

type 'a t = unit -> 'a node 
A sequence is a computation which returns a list-like node
type 'a node = 
| Nil
| Cons of 'a * 'a t
include BatInterfaces.Mappable
val enum : 'a t -> 'a BatEnum.t
enum s returns the enumeration of all element of s.

Since enumerations are consumable and sequence are not, it is not possible to have the inverse operations, i.e. of_enum

Base operations

val length : 'a t -> int
Return the number of elements of the given sequence. This may never return if the sequence is infinite.
val hd : 'a t -> 'a
Returns the first element of the sequence or raise Invalid_argument if the sequence is empty.
val tl : 'a t -> 'a t
Returns the sequence without its first elements or raise Invalid_argument if the sequence is empty.
val is_empty : 'a t -> bool
is_empty e returns true if e does not contains any element.
val first : 'a t -> 'a
Same as BatSeq.hd
val last : 'a t -> 'a
Returns the last element of the sequence, or raise Invalid_argument if the sequence is empty.
val at : 'a t -> int -> 'a
at l n returns the element at index n (starting from 0) in the sequence l or raise Invalid_argument is the index is outside of l bounds.
val append : 'a t -> 'a t -> 'a t
append s1 s2 returns the sequence which first returns all elements of s1 then all elements of s2.
val concat : 'a t t -> 'a t
concat s returns the sequence which returns all the elements of all the elements of s, in the same order.
val flatten : 'a t t -> 'a t
Same as BatSeq.concat.


val nil : 'a t
nil = fun () -> Nil
val cons : 'a -> 'a t -> 'a t
cons e s = fun () -> Cons(e, s)
val make : int -> 'a -> 'a t
make n e returns the sequence of length n where all elements are e
val init : int -> (int -> 'a) -> 'a t
init n f returns the sequence returning the results of f 0, f 1.... f (n-1).
Raises Invalid_argument if n < 0.
val of_list : 'a list -> 'a t
Convenience function to build a seq from a list.
Since 2.2.0


val iter : ('a -> unit) -> 'a t -> unit
iter f s applies f to all the elements of the sequence. Eager.
val iteri : (int -> 'a -> unit) -> 'a t -> unit
iteri f s is the same as iter f s, but f is given the index of each element (starting at 0).
Since 2.2.0
val iter2 : ('a -> 'b -> unit) -> 'a t -> 'b t -> unit
iter2 f s1 s2 iterates on elements of s1 and s2 pairwise, and stops when it meets the end of s1 or s2
Since 2.2.0
val map : ('a -> 'b) -> 'a t -> 'b t
map f s returns the sequence where elements are elements of s mapped with f. Lazy.
val mapi : (int -> 'a -> 'b) -> 'a t -> 'b t
mapi f s lazily maps elements of s into a new sequence, using f. f is also given elements' indexes.
Since 2.2.0
val map2 : ('a -> 'b -> 'c) -> 'a t -> 'b t -> 'c t
map2 f s1 s2 returns a sequence of elements, resulting from combininig elements of s1 and s2 at the same index using f. The result is as long as the shortest argument.
Since 2.2.0
val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b t -> 'a
fold_left f a (cons b0 (... bn)) is f (... (f (f a b0) b1) ...)
. Tail-recursive, eager.
val fold_right : ('a -> 'b -> 'b) -> 'a t -> 'b -> 'b
fold_right f (cons a0 (cons a1 (cons a2 ...))) b is f a0 (f
    a1 (f a2 ...))
. Not tail-recursive, eager.
val reduce : ('a -> 'a -> 'a) -> 'a t -> 'a
reduce f (cons e s) is fold_left f e s.
Raises Invalid_argument on empty sequences.
val max : 'a t -> 'a
max s returns the largest value in s as judged by
Raises Invalid_argument on empty sequences.
val min : 'a t -> 'a
min s returns the smallest value in s as judged by
Raises Invalid_argument on empty sequences.
val equal : ?eq:('a -> 'a -> bool) -> 'a t -> 'a t -> bool
equal ~eq s1 s2 compares elements of s1 and s2 pairwise using eq
Since 2.2.0
eq : optional equality function (default Pervasives.(=))

Sequence scanning

Most functions in the following sections have a shortcut semantic similar to the behavior of the usual (&&) and (||) operators : they will force the sequence until they find an satisfying element, and then return immediately.

For example, for_all will only diverge if the sequence begins with an infinite number of true elements --- elements for which the predicate p returns true.

val for_all : ('a -> bool) -> 'a t -> bool
for_all p (cons a0 (cons a1 ...)) checks if all elements of the given sequence satisfy the predicate p. That is, it returns (p a0) && (p a1) && .... Eager, shortcut.
val exists : ('a -> bool) -> 'a t -> bool
exists p (cons a0 (cons a1 ...)) checks if at least one element of the sequence satisfies the predicate p. That is, it returns (p a0) || (p a1) || .... Eager, shortcut.
val mem : 'a -> 'a t -> bool
mem a l is true if and only if a is equal to an element of l. Eager, shortcut.

Sequence searching

val find : ('a -> bool) -> 'a t -> 'a option
find p s returns the first element of s such as p e returns true, if any. Eager, shortcut.
val find_map : ('a -> 'b option) -> 'a t -> 'b option
find_map p s finds the first element of s for which p e returns Some r, if any. Eager, short-cut.
val filter : ('a -> bool) -> 'a t -> 'a t
filter p s returns the sequence of elements of s satisfying p. Lazy.

Note filter is lazy in that it returns a lazy sequence, but each element in the result is eagerly searched in the input sequence. Therefore, the access to a given element in the result will diverge if it is preceded, in the input sequence, by infinitely many false elements (elements on which the predicate p returns false).

Other functions that may drop an unbound number of elements (filter_map, take_while, etc.) have the same behavior.

val filter_map : ('a -> 'b option) -> 'a t -> 'b t
filter_map f s returns the sequence of elements filtered and mapped by f. Lazy.

Association sequences

val assoc : 'a -> ('a * 'b) t -> 'b option
assoc a s returns the value associated with key a in the sequence of pairs s. Eager, shortcut.

Sequence transformations

val take : int -> 'a t -> 'a t
take n s returns up to the n first elements from sequence s, if available. Lazy.
val drop : int -> 'a t -> 'a t
drop n s returns s without the first n elements, or the empty sequence if s have less than n elements. Lazy.
val take_while : ('a -> bool) -> 'a t -> 'a t
take_while f s returns the first elements of sequence s which satisfy the predicate f. Lazy.
val drop_while : ('a -> bool) -> 'a t -> 'a t
drop_while f s returns the sequence s with the first elements satisfying the predicate f dropped. Lazy.

Sequence of pairs

val split : ('a * 'b) t -> 'a t * 'b t
split s = (map fst s, map snd s). Lazy.
val combine : 'a t -> 'b t -> ('a * 'b) t
Transform a pair of sequences into a sequence of pairs. Lazy.
Raises Invalid_argument if given sequences of different length.


val print : ?first:string ->
?last:string ->
?sep:string ->
('a BatInnerIO.output -> 'b -> unit) ->
'a BatInnerIO.output -> 'b t -> unit
Print the contents of a sequence
module Infix: sig .. end
include BatSeq.Infix
module Exceptionless: sig .. end