package pfff
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doc/lib/Set_/index.html
Module Set_
Sets over ordered types.
This module implements the set data structure, given a total ordering function over the set elements. All operations over sets are purely applicative (no side-effects). The implementation uses balanced binary trees, and is therefore reasonably efficient: insertion and membership take time logarithmic in the size of the set, for instance.
The type of the set elements.
val empty : 'elt tThe empty set.
val is_empty : 'elt t -> boolTest whether a set is empty or not.
val mem : 'elt -> 'elt t -> boolmem x s tests whether x belongs to the set s.
add x s returns a set containing all elements of s, plus x. If x was already in s, s is returned unchanged.
val singleton : 'elt -> 'elt tsingleton x returns the one-element set containing only x.
remove x s returns a set containing all elements of s, except x. If x was not in s, s is returned unchanged.
Total ordering between sets. Can be used as the ordering function for doing sets of sets.
equal s1 s2 tests whether the sets s1 and s2 are equal, that is, contain equal elements.
subset s1 s2 tests whether the set s1 is a subset of the set s2.
val iter : ('elt -> unit) -> 'elt t -> unititer 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 fold : ('elt -> 'a -> 'a) -> 'elt t -> 'a -> 'afold 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) -> 'elt t -> boolfor_all p s checks if all elements of the set satisfy the predicate p.
val exists : ('elt -> bool) -> 'elt t -> boolexists p s checks if at least one element of the set satisfies the predicate p.
filter p s returns the set of all elements in s that satisfy predicate p.
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 : 'elt t -> intReturn the number of elements of a set.
val elements : 'elt t -> 'elt listReturn 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 Set.Make.
val min_elt : 'elt t -> 'eltReturn the smallest element of the given set (with respect to the Ord.compare ordering), or raise Not_found if the set is empty.
val max_elt : 'elt t -> 'eltSame as Set.S.min_elt, but returns the largest element of the given set.
val choose : 'elt t -> 'eltReturn 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.
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 of_list : 'elt list -> 'elt t