module StringSet:Set.S
with type elt = string
type
elt
type
t
val empty : t
val is_empty : t -> bool
val mem : elt -> t -> bool
mem x s
tests whether x
belongs to the set s
.val add : elt -> t -> t
add x s
returns a set containing all elements of s
,
plus x
. If x
was already in s
, s
is returned unchanged
(the result of the function is then physically equal to s
).val singleton : elt -> t
singleton x
returns the one-element set containing only x
.val remove : elt -> t -> t
remove x s
returns a set containing all elements of s
,
except x
. If x
was not in s
, s
is returned unchanged
(the result of the function is then physically equal to s
).val union : t -> t -> t
val inter : t -> t -> t
val diff : t -> t -> t
val compare : t -> t -> int
val equal : t -> t -> bool
equal s1 s2
tests whether the sets s1
and s2
are
equal, that is, contain equal elements.val subset : t -> t -> bool
subset s1 s2
tests whether the set s1
is a subset of
the set s2
.val iter : (elt -> unit) -> t -> unit
iter f s
applies f
in turn to all elements of s
.
The elements of s
are presented to f
in increasing order
with respect to the ordering over the type of the elements.val map : (elt -> elt) -> t -> t
map f s
is the set whose elements are f a0
,f a1
... f
aN
, where a0
,a1
...aN
are the elements of s
.
The elements are passed to f
in increasing order
with respect to the ordering over the type of the elements.
If no element of s
is changed by f
, s
is returned
unchanged. (If each output of f
is physically equal to its
input, the returned set is physically equal to s
.)
Since 4.04.0
val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
fold f s a
computes (f xN ... (f x2 (f x1 a))...)
,
where x1 ... xN
are the elements of s
, in increasing order.val for_all : (elt -> bool) -> t -> bool
for_all p s
checks if all elements of the set
satisfy the predicate p
.val exists : (elt -> bool) -> t -> bool
exists p s
checks if at least one element of
the set satisfies the predicate p
.val filter : (elt -> bool) -> t -> t
filter p s
returns the set of all elements in s
that satisfy predicate p
. If p
satisfies every element in s
,
s
is returned unchanged (the result of the function is then
physically equal to s
).val partition : (elt -> bool) -> t -> t * 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 cardinal : t -> int
val elements : t -> elt list
Ord.compare
, where Ord
is the argument
given to Set.Make
.val min_elt : t -> elt
Ord.compare
ordering), or raise
Not_found
if the set is empty.val min_elt_opt : t -> elt option
Ord.compare
ordering), or None
if the set is empty.val max_elt : t -> elt
Set.S.min_elt
, but returns the largest element of the
given set.val max_elt_opt : t -> elt option
val choose : t -> elt
Not_found
if
the set is empty. Which element is chosen is unspecified,
but equal elements will be chosen for equal sets.val choose_opt : t -> elt option
None
if
the set is empty. Which element is chosen is unspecified,
but equal elements will be chosen for equal sets.val split : elt -> t -> t * bool * t
split x s
returns a triple (l, present, r)
, where
l
is the set of elements of s
that are
strictly less than x
;
r
is the set of elements of s
that are
strictly greater than x
;
present
is false
if s
contains no element equal to x
,
or true
if s
contains an element equal to x
.val find : elt -> t -> elt
find x s
returns the element of s
equal to x
(according
to Ord.compare
), or raise Not_found
if no such element
exists.val find_opt : elt -> t -> elt option
find_opt x s
returns the element of s
equal to x
(according
to Ord.compare
), or None
if no such element
exists.val find_first : (elt -> bool) -> t -> elt
find_first f s
, where f
is a monotonically increasing function,
returns the lowest element e
of s
such that f e
,
or raises Not_found
if no such element exists.
For example, find_first (fun e -> Ord.compare e x >= 0) s
will return
the first element e
of s
where Ord.compare e x >= 0
(intuitively:
e >= x
), or raise Not_found
if x
is greater than any element of
s
.
Since 4.05
val find_first_opt : (elt -> bool) -> t -> elt option
find_first_opt f s
, where f
is a monotonically increasing function,
returns an option containing the lowest element e
of s
such that
f e
, or None
if no such element exists.val find_last : (elt -> bool) -> t -> elt
find_last f s
, where f
is a monotonically decreasing function,
returns the highest element e
of s
such that f e
,
or raises Not_found
if no such element exists.val find_last_opt : (elt -> bool) -> t -> elt option
find_last_opt f s
, where f
is a monotonically decreasing function,
returns an option containing the highest element e
of s
such that
f e
, or None
if no such element exists.val of_list : elt list -> t
of_list l
creates a set from a list of elements.
This is usually more efficient than folding add
over the list,
except perhaps for lists with many duplicated elements.