package smtml

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package smtml
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include PatriciaTree.SET with type elt = t
type elt = t

The type of elements of the set

type key = elt

Alias for the type of elements, for cross-compatibility with maps

module BaseMap : PatriciaTree.HETEROGENEOUS_MAP with type _ key = elt and type (_, _) value = unit

Underlying basemap, for cross map/set operations

type t = unit BaseMap.t

The set type

Basic functions

val empty : t

The empty set

val is_empty : t -> bool

is_empty st is true if st contains no elements, false otherwise

val mem : elt -> t -> bool

mem elt set is true if elt is contained in set, O(log(n)) complexity.

val add : elt -> t -> t

add elt set adds element elt to the set. Preserves physical equality if elt was already present. O(log(n)) complexity.

val singleton : elt -> t

singleton elt returns a set containing a single element: elt

val cardinal : t -> int

cardinal set is the size of the set (number of elements), O(n) complexity.

val is_singleton : t -> elt option

is_singleton set is Some (Any elt) if set is singleton elt and None otherwise.

val remove : elt -> t -> t

remove elt set returns a set containing all elements of set except elt. Returns a value physically equal to set if elt is not present.

val unsigned_min_elt : t -> elt

The minimal element (according to the unsigned order on KEY.to_int) if non empty.

val unsigned_max_elt : t -> elt

The maximal element (according to the unsigned order on KEY.to_int) if non empty.

val pop_unsigned_minimum : t -> (elt * t) option

pop_unsigned_minimum s is Some (elt, s') where elt = unsigned_min_elt s and s' = remove elt s if s is non empty. Uses the unsigned order on KEY.to_int.

val pop_unsigned_maximum : t -> (elt * t) option

pop_unsigned_maximum s is Some (elt, s') where elt = unsigned_max_elt s and s' = remove elt s if s is non empty. Uses the unsigned order on KEY.to_int.

Iterators

val iter : (elt -> unit) -> t -> unit

iter f set calls f on all elements of set, in the unsigned order of KEY.to_int.

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

filter f set is the subset of set that only contains the elements that satisfy f. f is called in the unsigned order of KEY.to_int.

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

for_all f set is true if f is true on all elements of set. Short-circuits on first false. f is called in the unsigned order of KEY.to_int.

val fold : (elt -> 'acc -> 'acc) -> t -> 'acc -> 'acc

fold f set acc returns f elt_n (... (f elt_1 acc) ...), where elt_1, ..., elt_n are the elements of set, in increasing unsigned order of KEY.to_int

val split : elt -> t -> t * bool * t

split elt set returns s_lt, present, s_gt where s_lt contains all elements of set smaller than elt, s_gt all those greater than elt, and present is true if elt is in set. Uses the unsigned order on KEY.to_int.

val pretty : ?pp_sep:(Format.formatter -> unit -> unit) -> (Format.formatter -> elt -> unit) -> Format.formatter -> t -> unit

Pretty prints the set, pp_sep is called once between each element, it defaults to Format.pp_print_cut

Functions on pairs of sets

val union : t -> t -> t

union a b is the set union of a and b, i.e. the set containing all elements that are either in a or b.

val inter : t -> t -> t

inter a b is the set intersection of a and b, i.e. the set containing all elements that are in both a or b.

val disjoint : t -> t -> bool

disjoint a b is true if a and b have no elements in common.

val subset : t -> t -> bool

subset a b is true if all elements of a are also in b.

Conversion functions

val to_seq : t -> elt Seq.t

to_seq st iterates the whole set, in increasing unsigned order of KEY.to_int

val to_rev_seq : t -> elt Seq.t

to_rev_seq st iterates the whole set, in decreasing unsigned order of KEY.to_int

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

add_seq s st adds all elements of the sequence s to st in order.

val of_seq : elt Seq.t -> t

of_seq s creates a new set from the elements of s.

val of_list : elt list -> t

of_list l creates a new set from the elements of l.

val to_list : t -> elt list

to_list s returns the elements of s as a list, in increasing unsigned order of KEY.to_int

val to_int : t -> int
val equal : t -> t -> bool
val compare : t -> t -> int
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