package asetmap

You can search for identifiers within the package.

in-package search v0.2.0

On This Page

Set
Conversions
Pretty-printers

package asetmap

asetmap
- Asetmap
  - Map
    
    Make
    
    Ord
    
    Make_with_key_set
    
    Key_set
    
    Ord
    
    S
    
    S_with_key_set
  - Set
    
    Make
    
    Ord
    
    S

Legend:
Library
Module
Module type
Parameter
Class
Class type

Set

include Set.S with type elt = Ord.t

type elt = Ord.t

The type of the set elements.

type t

The type of sets.

val empty : t

The empty set.

val is_empty : t -> bool

Test whether a set is empty or not.

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).

before 4.03
Physical equality was not ensured.

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).

before 4.03
Physical equality was not ensured.

val union : t -> t -> t

Set union.

val inter : t -> t -> t

Set intersection.

val disjoint : t -> t -> bool

Test if two sets are disjoint.

since 4.08.0

val diff : t -> t -> t

Set difference: diff s1 s2 contains the elements of s1 that are not in s2.

val compare : t -> t -> int

Total ordering between sets. Can be used as the ordering function for doing sets of sets.

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 init computes (f xN ... (f x2 (f x1 init))...), where x1 ... xN are the elements of s, in increasing order.

val for_all : (elt -> bool) -> t -> bool

for_all f s checks if all elements of the set satisfy the predicate f.

val exists : (elt -> bool) -> t -> bool

exists f s checks if at least one element of the set satisfies the predicate f.

val filter : (elt -> bool) -> t -> t

filter f s returns the set of all elements in s that satisfy predicate f. If f satisfies every element in s, s is returned unchanged (the result of the function is then physically equal to s).

before 4.03
Physical equality was not ensured.

val filter_map : (elt -> elt option) -> t -> t

filter_map f s returns the set of all v such that f x = Some v for some element x of s.

For example,

filter_map (fun n -> if n mod 2 = 0 then Some (n / 2) else None) s

is the set of halves of the even elements of s.

If no element of s is changed or dropped by f (if f x = Some x for each element x), then s is returned unchanged: the result of the function is then physically equal to s.

since 4.11.0

val partition : (elt -> bool) -> t -> t * t

partition f s returns a pair of sets (s1, s2), where s1 is the set of all the elements of s that satisfy the predicate f, and s2 is the set of all the elements of s that do not satisfy f.

val cardinal : t -> int

Return the number of elements of a set.

val elements : t -> elt list

Return the list of all elements of the given set. The returned list is sorted in increasing order with respect to the ordering Ord.compare, where Ord is the argument given to Stdlib.Set.Make.

val min_elt_opt : t -> elt option

Return the smallest element of the given set (with respect to the Ord.compare ordering), or None if the set is empty.

since 4.05

val max_elt_opt : t -> elt option

Same as min_elt_opt, but returns the largest element of the given set.

since 4.05

val choose_opt : t -> elt option

Return one element of the given set, or None if the set is empty. Which element is chosen is unspecified, but equal elements will be chosen for equal sets.

since 4.05

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_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.

since 4.05

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.

since 4.05

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.

since 4.05

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.

since 4.05

Iterators

val to_seq_from : elt -> t -> elt Seq.t

to_seq_from x s iterates on a subset of the elements of s in ascending order, from x or above.

since 4.07

val to_seq : t -> elt Seq.t

Iterate on the whole set, in ascending order

since 4.07

val to_rev_seq : t -> elt Seq.t

Iterate on the whole set, in descending order

since 4.12

val add_seq : elt Seq.t -> t -> t

Add the given elements to the set, in order.

since 4.07

val of_seq : elt Seq.t -> t

Build a set from the given bindings

since 4.07

val find : elt -> t -> elt option

find e s is the element of s equal to e (if any).

val get : elt -> t -> elt

get is like find but

raises Invalid_argument
if elt is not in s.

val min_elt : t -> elt option

min_elt s is the smallest element of s (if any).

val get_min_elt : t -> elt

get_min_elt is like min_elt but

raises Invalid_argument
on the empty set.

val max_elt : t -> elt option

max_elt s is the greatest element of s (if any).

val get_max_elt : t -> elt

get_max_elt is like max_elt but

raises Invalid_argument
on the empty set.

val choose : t -> elt option

choose s is an element of s or None is s empty. The chosen element is equal for equal sets.

val get_any_elt : t -> elt

get_any_elt is like choose but

raises Invalid_argument
on the empty set.

Conversions

val to_list : t -> elt list

to_list s is the elements of s in increasing order.

val of_list : elt list -> t

of_list l is a set from the elements of l

Pretty-printers

val pp : 
  ?sep:(Format.formatter -> unit -> unit) ->
  (Format.formatter -> elt -> unit) ->
  Format.formatter ->
  t ->
  unit

pp ~sep pp_elt ppf s formats the elements of s on ppf. Each element is formatted with pp_elt and elements are separated by ~sep (defaults to Format.pp_print_cut). If the set is empty leaves ppf untouched.

val dump : (Format.formatter -> elt -> unit) -> Format.formatter -> t -> unit

dump pp_elt ppf s prints an unspecified representation of s on ppf using pp_elt to print elements.