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Module Tree

Signature

type ('a, 'cmp) t

A Tree.t contains just the tree data structure that a set is based on, without including the comparator. Accordingly, any operation on a Tree.t must also take as an argument the corresponding comparator.

val sexp_of_t : ('a -> Sexplib.Sexp.t) -> ('cmp -> Sexplib.Sexp.t) -> ('a, 'cmp) t -> Sexplib.Sexp.t
include Core_set_intf.Creators_and_accessors2_with_comparator with type ('a, 'b) set := ('a, 'b) t with type ('a, 'b) t := ('a, 'b) t with type ('a, 'b) tree := ('a, 'b) t
include Core_set_intf.Accessors2_with_comparator
include Container.S1_phantom_invariant
type ('a, 'phantom) t
val mem : ?equal:('a -> 'a -> bool) -> ('a, _) t -> 'a -> bool

Checks whether the provided element is there, using polymorphic compare if equal is not provided

val length : (_, _) t -> int
val is_empty : (_, _) t -> bool
val iter : ('a, _) t -> f:('a -> unit) -> unit
val fold : ('a, _) t -> init:'accum -> f:('accum -> 'a -> 'accum) -> 'accum

fold t ~init ~f returns f (... f (f (f init e1) e2) e3 ...) en, where e1..en are the elements of t

val exists : ('a, _) t -> f:('a -> bool) -> bool

Returns true if and only if there exists an element for which the provided function evaluates to true. This is a short-circuiting operation.

val for_all : ('a, _) t -> f:('a -> bool) -> bool

Returns true if and only if the provided function evaluates to true for all elements. This is a short-circuiting operation.

val count : ('a, _) t -> f:('a -> bool) -> int

Returns the number of elements for which the provided function evaluates to true.

val sum : (module Commutative_group.S with type t = 'sum) -> ('a, _) t -> f:('a -> 'sum) -> 'sum

Returns the sum of f i for i in the container

val find : ('a, _) t -> f:('a -> bool) -> 'a option

Returns as an option the first element for which f evaluates to true.

val find_map : ('a, _) t -> f:('a -> 'b option) -> 'b option

Returns the first evaluation of f that returns Some, and returns None if there is no such element.

val to_list : ('a, _) t -> 'a list
val to_array : ('a, _) t -> 'a array
val min_elt : ('a, _) t -> cmp:('a -> 'a -> int) -> 'a option

Returns a min (resp max) element from the collection using the provided cmp function. In case of a tie, the first element encountered while traversing the collection is returned. The implementation uses fold so it has the same complexity as fold. Returns None iff the collection is empty.

val max_elt : ('a, _) t -> cmp:('a -> 'a -> int) -> 'a option
type ('a, 'cmp) tree
val invariants : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> bool
val mem : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> 'a -> bool
val add : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> 'a -> ('a, 'cmp) t
val remove : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> 'a -> ('a, 'cmp) t
val union : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> ('a, 'cmp) t
val inter : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> ('a, 'cmp) t
val diff : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> ('a, 'cmp) t
val symmetric_diff : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> ('a, 'a) Either.t Sequence.t
val compare_direct : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> int
val equal : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> bool
val subset : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> bool
val fold_until : ('a, _) t -> init:'accum -> f:('accum -> 'a -> [
| `Continue of 'accum
| `Stop of 'accum
]) -> 'accum
val fold_right : ('a, _) t -> init:'accum -> f:('a -> 'accum -> 'accum) -> 'accum
val iter2 : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> ('a, 'cmp) t -> f:([
| `Left of 'a
| `Right of 'a
| `Both of 'a * 'a
] -> unit) -> unit
val filter : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> f:('a -> bool) -> ('a, 'cmp) t
val partition_tf : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> f:('a -> bool) -> ('a, 'cmp) t * ('a, 'cmp) t
val elements : ('a, _) t -> 'a list
val min_elt : ('a, _) t -> 'a option
val min_elt_exn : ('a, _) t -> 'a
val max_elt : ('a, _) t -> 'a option
val max_elt_exn : ('a, _) t -> 'a
val choose : ('a, _) t -> 'a option
val choose_exn : ('a, _) t -> 'a
val split : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> 'a -> ('a, 'cmp) t * 'a option * ('a, 'cmp) t
val group_by : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> equiv:('a -> 'a -> bool) -> ('a, 'cmp) t list
val find_exn : ('a, _) t -> f:('a -> bool) -> 'a
val find_index : ('a, _) t -> int -> 'a option
val remove_index : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> int -> ('a, 'cmp) t
val to_tree : ('a, 'cmp) t -> ('a, 'cmp) tree
val to_sequence : comparator:('a, 'cmp) Comparator.t -> ?order:[
| `Increasing
| `Decreasing
] -> ?greater_or_equal_to:'a -> ?less_or_equal_to:'a -> ('a, 'cmp) t -> 'a Sequence.t
val merge_to_sequence : comparator:('a, 'cmp) Comparator.t -> ?order:[
| `Increasing
| `Decreasing
] -> ?greater_or_equal_to:'a -> ?less_or_equal_to:'a -> ('a, 'cmp) t -> ('a, 'cmp) t -> 'a Core_set_intf.Merge_to_sequence_element.t Sequence.t
val to_map : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t -> f:('a -> 'b) -> ('a, 'b, 'cmp) Core_set_intf.Map.t
val obs : 'a Quickcheck.obs -> ('a, 'cmp) t Quickcheck.obs
val shrinker : comparator:('a, 'cmp) Comparator.t -> 'a Quickcheck.shr -> ('a, 'cmp) t Quickcheck.shr
include Core_set_intf.Creators2_with_comparator with type ('a, 'b) t := ('a, 'b) t with type ('a, 'b) tree := ('a, 'b) tree
type ('a, 'cmp) set
type ('a, 'cmp) t
type ('a, 'cmp) tree
val empty : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t
val singleton : comparator:('a, 'cmp) Comparator.t -> 'a -> ('a, 'cmp) t
val union_list : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) t list -> ('a, 'cmp) t
val of_list : comparator:('a, 'cmp) Comparator.t -> 'a list -> ('a, 'cmp) t
val of_array : comparator:('a, 'cmp) Comparator.t -> 'a array -> ('a, 'cmp) t
val of_sorted_array : comparator:('a, 'cmp) Comparator.t -> 'a array -> ('a, 'cmp) t Or_error.t
val of_sorted_array_unchecked : comparator:('a, 'cmp) Comparator.t -> 'a array -> ('a, 'cmp) t
val stable_dedup_list : comparator:('a, 'cmp) Comparator.t -> 'a list -> 'a list
val map : comparator:('b, 'cmp) Comparator.t -> ('a, _) set -> f:('a -> 'b) -> ('b, 'cmp) t
val filter_map : comparator:('b, 'cmp) Comparator.t -> ('a, _) set -> f:('a -> 'b option) -> ('b, 'cmp) t
val of_tree : comparator:('a, 'cmp) Comparator.t -> ('a, 'cmp) tree -> ('a, 'cmp) t
val of_map_keys : ('a, _, 'cmp) Core_set_intf.Map.t -> ('a, 'cmp) t
val gen : comparator:('a, 'cmp) Comparator.t -> 'a Quickcheck.Generator.t -> ('a, 'cmp) t Quickcheck.Generator.t