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ListLabels(3)			 OCaml library			 ListLabels(3)

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 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 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 ListLabels.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 con‐
       catenated 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 ele‐
       ment  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  ListLabels.rev  (  ListLa‐
       bels.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 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 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 ListLabels.rev ( ListLa‐
       bels.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 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 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  sat‐
       isfies 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 ListLabels.for_all , but for a two-argument  predicate.	 Raise
       Invalid_argument if the two lists have different lengths.

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

       Same  as	 ListLabels.exists  , but for a two-argument predicate.	 Raise
       Invalid_argument if the two lists 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 ListLabels.mem , but uses physical equality instead  of	struc‐
       tural 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 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  pre‐
       served.

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

       find_all is another name for ListLabels.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  associ‐
       ated with a in the list l .

       val assq : 'a -> ('a * 'b) list -> 'b

       Same as ListLabels.assoc , but uses physical equality instead of struc‐
       tural equality to compare keys.

       val mem_assoc : 'a -> map:('a * 'b) list -> bool

       Same as ListLabels.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	 ListLabels.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 ListLabels.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 inte‐
       ger if the first is smaller (see Array.sort for a  complete  specifica‐
       tion).	For example, Pervasives.compare is a suitable comparison func‐
       tion.  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 ListLabels.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 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 com‐
       pare equal, the elements of l1 will be before the elements of l2 .  Not
       tail-recursive (sum of the lengths of the arguments).

OCamldoc			  2013-10-24			 ListLabels(3)
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