module SetList: sig .. end
Sets over totally ordered type with lists. All operations over sets are
purely applicative (no side-effects).
type 'a t
The type of sets over elements of type 'a.
val print : ?first:(unit, Format.formatter, unit) Pervasives.format ->
?sep:(unit, Format.formatter, unit) Pervasives.format ->
?last:(unit, Format.formatter, unit) Pervasives.format ->
(Format.formatter -> 'a -> unit) -> Format.formatter -> 'a t -> unit
Printing function
val empty : 'a t
The empty set.
val is_empty : 'a t -> bool
Test whether a set is empty or not.
val mem : 'a -> 'a t -> bool
mem x s tests whether x belongs to the set s.
val of_list : 'a list -> 'a t
Conversion from a list (unsafe operation)
val to_list : 'a t -> 'a list
Conversion to a list
val singleton : 'a -> 'a t
singleton x returns the one-element set containing only x.
val add : 'a -> 'a t -> 'a t
add x s returns a set containing all elements of s,
plus x. If x was already in s, s is returned unchanged.
val remove : 'a -> 'a t -> 'a t
remove x s returns a set containing all elements of s, except
x. If x was not in s, s is returned unchanged.
val union : 'a t -> 'a t -> 'a t
val inter : 'a t -> 'a t -> 'a t
val diff : 'a t -> 'a t -> 'a t
Union, intersection and set difference.
val compare : 'a t -> 'a t -> int
Total ordering between sets. Can be used as the ordering function
for doing sets of sets.
val equal : 'a t -> 'a t -> bool
equal s1 s2 tests whether the sets s1 and s2 are
equal, that is, contain equal elements.
val subset : 'a t -> 'a t -> bool
subset s1 s2 tests whether the set s1 is a subset of
the set s2.
val iter : ('a -> unit) -> 'a t -> unit
iter f s applies f in turn to all elements of s.
The order in which the elements of s are presented to f
is in ascending order.
val fold : ('a -> 'b -> 'b) -> 'a t -> 'b -> 'b
fold f s a
computes (f xN ... (f x2 (f x1 a))...),
where x1 ... xN are the elements of s.
The order in which elements of s are presented to f is
in ascending order.
Raises Not_found if no fount
Returns the computed accumulator
val fold_right : ('a -> 'b -> 'b) -> 'a t -> 'b -> 'b
val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b t -> 'a
Idem as List.fold_X functions
val cardinal : 'a t -> int
Return the number of elements of a set.
val elements : 'a t -> 'a list
Return the list of all elements of the given set. The returned list
is sorted in increasing order with respect to the ordering
Pervasives.compare.
val min_elt : 'a t -> 'a
Return the smallest element of the given set (with respect to the
Pervasives.compare ordering), or raise Not_found if the set is
empty.
val max_elt : 'a t -> 'a
Same as min_elt, but returns the largest element of the given
set.
val choose : 'a t -> 'a
Return one element of the given set, or raise Not_found if the set
is empty. Which element is chosen is unspecified, but equal elements
will be chosen for equal sets.
val filter : ('a -> bool) -> 'a t -> 'a t
filter p s returns the set of all elements in s
that satisfy predicate p.
val partition : ('a -> bool) -> 'a t -> 'a t * 'a t
partition p s returns a pair of sets (s1, s2), where s1 is the
set of all the elements of s that satisfy the predicate p, and s2
is the set of all the elements of s that do not satisfy p.
val exists : ('a -> bool) -> 'a t -> bool
exists p s checks if at least one element of
the set satisfies the predicate p.
val for_all : ('a -> bool) -> 'a t -> bool
for_all p s checks if all elements of the set
satisfy the predicate p.
module type S = sig .. end
module Make: functor (Ord : Set.OrderedType) -> S with type elt = Ord.t
Functor building an implementation of the SetList structure
given a totally ordered type.