table of contents
| List(3) | OCaml library | List(3) |
NAME¶
List - List operations.
Module¶
Module List
Documentation¶
Module List
: sig end
List operations.
Some functions are flagged as not tail-recursive. A tail-recursive function uses constant stack space, while a non-tail-recursive function uses stack space proportional to the length of its list argument, which can be a problem with very long lists. When the function takes several list arguments, an approximate formula giving stack usage (in some unspecified constant unit) is shown in parentheses.
The above considerations can usually be ignored if your lists are not longer than about 10000 elements.
type 'a t = 'a list =
| []
| :: of 'a * 'a list
An alias for the type of lists.
val length : 'a list -> int
Return the length (number of elements) of the given list.
val compare_lengths : 'a list -> 'b list -> int
Compare the lengths of two lists. compare_lengths l1 l2 is equivalent to compare (length l1) (length l2) , except that the computation stops after itering on the shortest list.
Since 4.05.0
val compare_length_with : 'a list -> int -> int
Compare the length of a list to an integer. compare_length_with l n is equivalent to compare (length l) n , except that the computation stops after at most n iterations on the list.
Since 4.05.0
val cons : 'a -> 'a list -> 'a list
cons x xs is x :: xs
Since 4.03.0
val hd : 'a list -> 'a
Return the first element of the given list.
Raises Failure if the list is empty.
val tl : 'a list -> 'a list
Return the given list without its first element.
Raises Failure if the list is empty.
val nth : 'a list -> int -> 'a
Return the n -th element of the given list. The first element (head of the list) is at position 0.
Raises Failure if the list is too short.
Raises Invalid_argument if n is negative.
val nth_opt : 'a list -> int -> 'a option
Return the n -th element of the given list. The first element (head of the list) is at position 0. Return None if the list is too short.
Since 4.05
Raises Invalid_argument if n is negative.
val rev : 'a list -> 'a list
List reversal.
val init : int -> (int -> 'a) -> 'a list
List.init len f is [f 0; f 1; ...; f (len-1)] , evaluated left to right.
Since 4.06.0
Raises Invalid_argument if len < 0.
val append : 'a list -> 'a list -> 'a list
Concatenate two lists. Same as the infix operator @ . Not tail-recursive (length of the first argument).
val rev_append : 'a list -> 'a list -> 'a list
List.rev_append l1 l2 reverses l1 and concatenates it to l2 . This is equivalent to List.rev l1 @ l2 , but rev_append is tail-recursive and more efficient.
val concat : 'a list list -> 'a list
Concatenate a list of lists. The elements of the argument are all concatenated together (in the same order) to give the result. Not tail-recursive (length of the argument + length of the longest sub-list).
val flatten : 'a list list -> 'a list
An alias for concat .
Iterators¶
val iter : ('a -> unit) -> 'a list -> unit
List.iter f [a1; ...; an] applies function f in turn to a1; ...; an . It is equivalent to begin f a1; f a2; ...; f an; () end .
val iteri : (int -> 'a -> unit) -> 'a list -> unit
Same as List.iter , but the function is applied to the index of the element as first argument (counting from 0), and the element itself as second argument.
Since 4.00.0
val map : ('a -> 'b) -> 'a list -> 'b list
List.map f [a1; ...; an] applies function f to a1, ..., an , and builds the list [f a1; ...; f an] with the results returned by f . Not tail-recursive.
val mapi : (int -> 'a -> 'b) -> 'a list -> 'b list
Same as List.map , but the function is applied to the index of the element as first argument (counting from 0), and the element itself as second argument. Not tail-recursive.
Since 4.00.0
val rev_map : ('a -> 'b) -> 'a list -> 'b list
List.rev_map f l gives the same result as List.rev ( List.map f l) , but is tail-recursive and more efficient.
val filter_map : ('a -> 'b option) -> 'a list -> 'b list
filter_map f l applies f to every element of l , filters out the None elements and returns the list of the arguments of the Some elements.
Since 4.08.0
val concat_map : ('a -> 'b list) -> 'a list -> 'b list
List.concat_map f l gives the same result as List.concat ( List.map f l) . Tail-recursive.
Since 4.10.0
val fold_left_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b list -> 'a * 'c list
fold_left_map is a combination of fold_left and map that threads an accumulator through calls to f
Since 4.11.0
val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b list -> 'a
List.fold_left f a [b1; ...; bn] is f (... (f (f a b1) b2) ...) bn .
val fold_right : ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
List.fold_right f [a1; ...; an] b is f a1 (f a2 (... (f an b) ...)) . Not tail-recursive.
Iterators on two lists¶
val iter2 : ('a -> 'b -> unit) -> 'a list -> 'b list -> unit
List.iter2 f [a1; ...; an] [b1; ...; bn] calls in turn f a1 b1; ...; f an bn .
Raises Invalid_argument if the two lists are determined to have different lengths.
val map2 : ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list
List.map2 f [a1; ...; an] [b1; ...; bn] is [f a1 b1; ...; f an bn] .
Raises Invalid_argument if the two lists are determined to have different lengths. Not tail-recursive.
val rev_map2 : ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list
List.rev_map2 f l1 l2 gives the same result as List.rev ( List.map2 f l1 l2) , but is tail-recursive and more efficient.
val fold_left2 : ('a -> 'b -> 'c -> 'a) -> 'a -> 'b list -> 'c list -> 'a
List.fold_left2 f a [b1; ...; bn] [c1; ...; cn] is f (... (f (f a b1 c1) b2 c2) ...) bn cn .
Raises Invalid_argument if the two lists are determined to have different lengths.
val fold_right2 : ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c
List.fold_right2 f [a1; ...; an] [b1; ...; bn] c is f a1 b1 (f a2 b2 (... (f an bn c) ...)) .
Raises Invalid_argument if the two lists are determined to have different lengths. Not tail-recursive.
List scanning¶
val for_all : ('a -> bool) -> 'a list -> bool
for_all p [a1; ...; an] checks if all elements of the list satisfy the predicate p . That is, it returns (p a1) && (p a2) && ... && (p an) for a non-empty list and true if the list is empty.
val exists : ('a -> bool) -> 'a list -> bool
exists p [a1; ...; an] checks if at least one element of the list satisfies the predicate p . That is, it returns (p a1) || (p a2) || ... || (p an) for a non-empty list and false if the list is empty.
val for_all2 : ('a -> 'b -> bool) -> 'a list -> 'b list -> bool
Same as List.for_all , but for a two-argument predicate.
Raises Invalid_argument if the two lists are determined to have different lengths.
val exists2 : ('a -> 'b -> bool) -> 'a list -> 'b list -> bool
Same as List.exists , but for a two-argument predicate.
Raises Invalid_argument if the two lists are determined to have different lengths.
val mem : 'a -> 'a list -> bool
mem a l is true if and only if a is equal to an element of l .
val memq : 'a -> 'a list -> bool
Same as List.mem , but uses physical equality instead of structural equality to compare list elements.
List searching¶
val find : ('a -> bool) -> 'a list -> 'a
find p l returns the first element of the list l that satisfies the predicate p .
Raises Not_found if there is no value that satisfies p in the list l .
val find_opt : ('a -> bool) -> 'a list -> 'a option
find_opt p l returns the first element of the list l that satisfies the predicate p , or None if there is no value that satisfies p in the list l .
Since 4.05
val find_map : ('a -> 'b option) -> 'a list -> 'b option
find_map f l applies f to the elements of l in order, and returns the first result of the form Some v , or None if none exist.
Since 4.10.0
val filter : ('a -> bool) -> 'a list -> 'a list
filter p l returns all the elements of the list l that satisfy the predicate p . The order of the elements in the input list is preserved.
val find_all : ('a -> bool) -> 'a list -> 'a list
find_all is another name for List.filter .
val filteri : (int -> 'a -> bool) -> 'a list -> 'a list
Same as List.filter , but the predicate is applied to the index of the element as first argument (counting from 0), and the element itself as second argument.
Since 4.11.0
val partition : ('a -> bool) -> 'a list -> 'a list * 'a list
partition p l returns a pair of lists (l1, l2) , where l1 is the list of all the elements of l that satisfy the predicate p , and l2 is the list of all the elements of l that do not satisfy p . The order of the elements in the input list is preserved.
Association lists¶
val assoc : 'a -> ('a * 'b) list -> 'b
assoc a l returns the value associated with key a in the list of pairs l . That is, assoc a [ ...; (a,b); ...] = b if (a,b) is the leftmost binding of a in list l .
Raises Not_found if there is no value associated with a in the list l .
val assoc_opt : 'a -> ('a * 'b) list -> 'b option
assoc_opt a l returns the value associated with key a in the list of pairs l . That is, assoc_opt a [ ...; (a,b); ...] = b if (a,b) is the leftmost binding of a in list l . Returns None if there is no value associated with a in the list l .
Since 4.05
val assq : 'a -> ('a * 'b) list -> 'b
Same as List.assoc , but uses physical equality instead of structural equality to compare keys.
val assq_opt : 'a -> ('a * 'b) list -> 'b option
Same as List.assoc_opt , but uses physical equality instead of structural equality to compare keys.
Since 4.05
val mem_assoc : 'a -> ('a * 'b) list -> bool
Same as List.assoc , but simply return true if a binding exists, and false if no bindings exist for the given key.
val mem_assq : 'a -> ('a * 'b) list -> bool
Same as List.mem_assoc , but uses physical equality instead of structural equality to compare keys.
val remove_assoc : 'a -> ('a * 'b) list -> ('a * 'b) list
remove_assoc a l returns the list of pairs l without the first pair with key a , if any. Not tail-recursive.
val remove_assq : 'a -> ('a * 'b) list -> ('a * 'b) list
Same as List.remove_assoc , but uses physical equality instead of structural equality to compare keys. Not tail-recursive.
Lists of pairs¶
val split : ('a * 'b) list -> 'a list * 'b list
Transform a list of pairs into a pair of lists: split [(a1,b1); ...; (an,bn)] is ([a1; ...; an], [b1; ...; bn]) . Not tail-recursive.
val combine : 'a list -> 'b list -> ('a * 'b) list
Transform a pair of lists into a list of pairs: combine [a1; ...; an] [b1; ...; bn] is [(a1,b1); ...; (an,bn)] .
Raises Invalid_argument if the two lists have different lengths. Not tail-recursive.
Sorting¶
val sort : ('a -> 'a -> int) -> 'a list -> 'a list
Sort a list in increasing order according to a comparison function. The comparison function must return 0 if its arguments compare as equal, a positive integer if the first is greater, and a negative integer if the first is smaller (see Array.sort for a complete specification). For example, compare is a suitable comparison function. The resulting list is sorted in increasing order. List.sort is guaranteed to run in constant heap space (in addition to the size of the result list) and logarithmic stack space.
The current implementation uses Merge Sort. It runs in constant heap space and logarithmic stack space.
val stable_sort : ('a -> 'a -> int) -> 'a list -> 'a list
Same as List.sort , but the sorting algorithm is guaranteed to be stable (i.e. elements that compare equal are kept in their original order) .
The current implementation uses Merge Sort. It runs in constant heap space and logarithmic stack space.
val fast_sort : ('a -> 'a -> int) -> 'a list -> 'a list
Same as List.sort or List.stable_sort , whichever is faster on typical input.
val sort_uniq : ('a -> 'a -> int) -> 'a list -> 'a list
Same as List.sort , but also remove duplicates.
Since 4.02.0
val merge : ('a -> 'a -> int) -> 'a list -> 'a list -> 'a list
Merge two lists: Assuming that l1 and l2 are sorted according to the comparison function cmp , merge cmp l1 l2 will return a sorted list containing all the elements of l1 and l2 . If several elements compare equal, the elements of l1 will be before the elements of l2 . Not tail-recursive (sum of the lengths of the arguments).
Iterators¶
val to_seq : 'a list -> 'a Seq.t
Iterate on the list
Since 4.07
val of_seq : 'a Seq.t -> 'a list
Create a list from the iterator
Since 4.07
| 2022-03-11 | OCamldoc |