DIET : Discrete Interval Encoding Trees
Sets of integers represented as ranges
This data structure is efficient for large sets of integers where many adjacent integers are all part of the set. This will have higher overhead for sets with lots of point elements, but will be much more efficient for sets containing mostly ranges.
Test whether a set is empty, returns true
if the set is empty.
val mem : t -> int -> bool
test whether a given int is a member of the set
Add the given int to the set, returning a new set
val add_range : t -> int -> int -> t
add_range t lo hi
adds the range of integers lo, hi
(including both endpoints) to the given set, returning a new set
val intersects_range : t -> int -> int -> bool
Return the singleton set containing only the given element
val remove : t -> int -> t
Remove an element from the given set, returning a new set
val remove_range : t -> int -> int -> t
remove_range lo hi t
removes a range of elements from the given set, returning a new set
Compute the union of two sets. This is the set whose elements are those elements in either input set.
Compute the intersection of two sets. This is the set whose elements are those in *both* of the input sets.
Compute the difference between two sets. This is the set of elements that are in the first but not in the second. Unlike union
and inter
, order matters here.
Create the complement of the given set - i.e. the set of all values not in the input set.
val compare : t -> t -> int
Compare two sets. It is not safe to use the polymorphic (<) and related functions to compare these sets, as the tree representation used can balance in multiple ways.
val equal : t -> t -> bool
Test whether two sets are equal. It is not safe to use the polymorphic (=) on these sets, as the same set can have multiple representations depending on how it was built.
val subset : t -> t -> bool
subset t u
returns true
if t
is a subset of u
val from : t -> n :int -> t
from ~n t
returns the portion of t
in the range n, max_int
val after : t -> n :int -> t
after ~n t
returns the portion of t
in the range n+1, max_int
val until : t -> n :int -> t
until ~n t
returns the portion of t
in the range min_int, n
val before : t -> n :int -> t
before x t
returns the portion of t
in the range min_int, n-1
val iter : t -> f :(int -> unit) -> unit
iter f t
calls f
once for each element of t
val iter_range : t -> f :(int -> int -> unit) -> unit
iter_range ~f t
calls f
once for each contiguous range of t
. The contiguous ranges of a set are sequences of adjacent integers all part of the set.
val fold : t -> init :'a -> f :(int -> 'a -> 'a ) -> 'a
fold f t x0
returns the final result of merging each element of t
into x0
using merge function f
val fold_range : t -> init :'a -> f :(int -> int -> 'a -> 'a ) -> 'a
As fold, but operates on contiguous ranges
val for_all : t -> f :(int -> bool) -> bool
Tests whether a predicate applies to all elements of the set
val exists : t -> f :(int -> bool) -> bool
Test whether some element of a set satisfies a predicate
val filter : t -> f :(int -> bool) -> t
Builds the subset of those elements that satisfy the predicate
val partition : t -> f :(int -> bool) -> t * t
partitions the input set into two sets with elements that satisfy the predicate and those that don't
Returns the number of elements in the set
val elements : t -> int list
Returns a list of all elements in the set
val ranges : t -> (int * int) list
Returns a list of all contiguous ranges in the set
Returns the minimum element in the set
Returns the maximum element in the set
Returns some element in the set
Enumerates all contiguous ranges in the set
val of_list : (int * int) list -> t
Build a ISet.t out of a list or enum of ranges