nested_intervals
This crate deals with interval sets which are lists of Ranges that may be both overlapping and nested.
The implementation is based on nested containment lists as proposed by Alekseyenko et al. 2007, which offers the same bigO complexity s interval trees (O(n * log(n)) construction, O(n + m) queries). The construction of the query data structure is lazy and only happens the first time a method relying on it is called.
Each interval has a vec of u32 ids attached, which allows linking back the results to other data structures.
Full documentation at docs.rs Source at GitHub
Example
Code example:
fn test_example() {
let intervals = vec![0..20, 15..30, 50..100];
let mut interval_set = IntervalSet::new(&intervals);
assert_eq!(interval_set.ids, vec![vec![0], vec![1], vec![2]]); // automatic ids, use new_with_ids otherwise
let hits = interval_set.query_overlapping(10..16);
assert_eq!(hits.intervals, [0..20, 15..30]);
let merged = hits.merge_hull();
assert_eq!(merged.intervals, [0..30]);
assert_eq!(merged.ids, vec![vec![0,1]]);
}
Functionality

check for overlap with a query range > has_overlap

query for overlapping with a query range > query_overlapping

query for overlapping with a query set > filter_to_overlapping_multiple

query for nonoverlapping with a query set > filter_to_non_overlapping

check for internally overlapping > any_overlapping

check for internally nested > any_nested

remove duplicate intervals (start&stop!)> remove_duplicates

remove duplicate intervals and complain about nonduplicate overlapping > [remove_duplictes ](https://docs.rs/nested_intervals/struct.IntervalSet.html#method.remove_duplictes & any_overlapping

remove empty intervals > remove_empty

merge internally overlapping by joining them > merge_hull

merge internally overlapping by dropping them > merge_drop

split internally overlapping into nonoverlapping subsets (ie. [10..100, 20..30] becomes [10..20, 20..30, 30..100] > merge_split

invert an interval set (given outer borders) > invert

find the interval with the closest start > find_closest_start

find the interval with the closest start to the left of a point > find_closest_start_left

find the interval with the closest start to the right of a point > find_closest_start_right

calculate the units covered by the intervals > covered_units

find the mean size of the intervals > mean_interval_size

build the union of n interval sets > union

substract two interval sets > filter_to_non_overlapping

keep only those overlapping with n other sets > filter_to_overlapping_k_others

remove those overlapping with more than n other sets > filter_to_non_overlapping_k_others
Not (yet) supported
We currently can not

find the interval with the closest end

find the interval with the closest end to the left of a point //going be expensive O(n/2)

find the interval with the closest end to the right of a point //going be expensiv O(n/2)

intersect two interval sects (ie. covered units in both sets)

intersect more than two interval sects (ie. covered units in multiple sets, possibly applying a 'k' threshold)

merge internally overlapping by intersecting them? What does than even mean for nested sets?
Changelog
 0.6.0  Fixed a bug with has_overlap, which would produce false negatives if intervals with identical starts were in the dataset.