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NAME

       ListLabels - List operations.

Module

       Module   ListLabels

Documentation

       Module ListLabels
        : 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.

       val length : 'a list -> int

       Return the length (number of elements) of the given list.

       val hd : 'a list -> 'a

       Return the first element of the given list. Raise Failure hd if the list is empty.

       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 -> len: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 4.05.0

       val tl : 'a list -> 'a list

       Return the given list without its first element. Raise Failure tl 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.
       Raise Failure nth if the list is too short.  Raise Invalid_argument List.nth 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.  Raise Invalid_argument List.nth if n is negative.

       Since 4.05

       val rev : 'a list -> 'a list

       List reversal.

       val append : 'a list -> 'a list -> 'a list

       Catenate two lists.  Same function as the infix operator @ .  Not tail-recursive  (length  of  the  first
       argument).  The @ operator is not tail-recursive either.

       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

       Same as concat .  Not tail-recursive (length of the argument + length of the longest sub-list).

       === Iterators ===

       val iter : f:('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 : f:(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 : f:('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 : f:(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.

       Since 4.00.0

       val rev_map : f:('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 fold_left : f:('a -> 'b -> 'a) -> init:'a -> 'b list -> 'a

       List.fold_left f a [b1; ...; bn] is f (... (f (f a b1) b2) ...) bn .

       val fold_right : f:('a -> 'b -> 'b) -> 'a list -> init:'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 : f:('a -> 'b -> unit) -> 'a list -> 'b list -> unit

       List.iter2 f [a1; ...; an] [b1; ...; bn] calls in turn f a1 b1; ...; f an bn .  Raise Invalid_argument if
       the two lists are determined to have different lengths.

       val map2 : f:('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list

       List.map2  f  [a1; ...; an] [b1; ...; bn] is [f a1 b1; ...; f an bn] .  Raise Invalid_argument if the two
       lists are determined to have different lengths.  Not tail-recursive.

       val rev_map2 : f:('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 : f:('a -> 'b -> 'c -> 'a) -> init:'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 .  Raise
       Invalid_argument if the two lists are determined to have different lengths.

       val fold_right2 : f:('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> init:'c -> 'c

       List.fold_right2 f [a1; ...; an] [b1; ...; bn] c is f a1 b1 (f a2 b2 (... (f an bn  c)  ...))   .   Raise
       Invalid_argument if the two lists are determined to have different lengths.  Not tail-recursive.

       === List scanning ===

       val for_all : f:('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) .

       val exists : f:('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) .

       val for_all2 : f:('a -> 'b -> bool) -> 'a list -> 'b list -> bool

       Same  as  List.for_all  ,  but for a two-argument predicate.  Raise Invalid_argument if the two lists are
       determined to have different lengths.

       val exists2 : f:('a -> 'b -> bool) -> 'a list -> 'b list -> bool

       Same as List.exists , but for a two-argument predicate.  Raise Invalid_argument  if  the  two  lists  are
       determined to have different lengths.

       val mem : 'a -> set:'a list -> bool

       mem a l is true if and only if a is equal to an element of l .

       val memq : 'a -> set:'a list -> bool

       Same as List.mem , but uses physical equality instead of structural equality to compare list elements.

       === List searching ===

       val find : f:('a -> bool) -> 'a list -> 'a

       find  p  l  returns  the first element of the list l that satisfies the predicate p .  Raise Not_found if
       there is no value that satisfies p in the list l .

       val find_opt : f:('a -> bool) -> 'a list -> 'a option

       find p l returns the first element of the list l that satisfies the predicate p .  Returns None if  there
       is no value that satisfies p in the list l .

       Since 4.05

       val filter : f:('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 : f:('a -> bool) -> 'a list -> 'a list

       find_all is another name for List.filter .

       val partition : f:('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 .  Raise 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  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 4.05.0

       val mem_assoc : 'a -> map:('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 -> map:('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)] .  Raise Invalid_argument if the two lists have different lengths.  Not tail-recursive.

       === Sorting ===

       val sort : cmp:('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, Pervasives.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 : cmp:('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 : cmp:('a -> 'a -> int) -> 'a list -> 'a list

       Same as List.sort or List.stable_sort , whichever is faster on typical input.

       val sort_uniq : cmp:('a -> 'a -> int) -> 'a list -> 'a list

       Same as List.sort , but also remove duplicates.

       Since 4.03.0

       val merge : cmp:('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 containting 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).