Source file overrides_interval_tree.ml
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module Interval = struct
type 'a t = { loc : Location.t; payload : 'a }
let create ~(loc : Location.t) ~payload =
match loc.loc_start.pos_cnum <= loc.loc_end.pos_cnum with
| true -> Ok { loc; payload }
| false -> Error "input loc_start greater than loc_end"
let compare_loc t1 t2 = Location_aux.compare t1.loc t2.loc
let loc t = t.loc
let low t = t.loc.loc_start.pos_cnum
let high t = t.loc.loc_end.pos_cnum
let compare_range t1 t2 = Int.compare (high t1 - low t1) (high t2 - low t2)
let payload t = t.payload
end
(** The type representing an interval tree node. *)
type 'a t =
| Empty
| Node of
{ center : Lexing.position;
(** [center] is an approximation of the median of all intervals contained in the subtree [t]. *)
left : 'a t;
(** [left] is the subtree containing all intervals to the left of [center]. *)
right : 'a t;
(** [left] is the subtree containing all intervals to the right of [center]. *)
intervals : 'a Interval.t list
(** [intervals] is a list of all intervals that contain [center] *)
}
(** Implementation based off of
{{:https://en.wikipedia.org/wiki/Interval_tree#With_a_point}}this description. *)
let rec find_helper t position =
match t with
| Empty -> []
| Node node -> (
let of_t =
List.filter
(fun (interval : _ Interval.t) ->
Location_aux.compare_pos position (Interval.loc interval) = 0)
node.intervals
in
match Std.Lexing.compare_pos position node.center with
| n when n < 0 ->
let of_left = find_helper node.left position in
of_left @ of_t
| n when n > 0 ->
let of_right = find_helper node.right position in
of_right @ of_t
| _ -> of_t)
let find t point =
let tightest_interval =
find_helper t point |> Std.List.min_elt ~cmp:Interval.compare_range
in
match tightest_interval with
| None -> None
| Some interval -> Some (Interval.payload interval)
let rec of_alist_helper (lst : _ Interval.t list) =
match List.length lst with
| 0 -> Empty
| length ->
let median =
let median_interval = List.nth lst (length / 2) in
(Interval.loc median_interval).loc_start
in
let to_left, to_overlap, to_right =
List.fold_right
(fun (interval : _ Interval.t) (to_left, to_overlap, to_right) ->
match Location_aux.compare_pos median (Interval.loc interval) with
| n when n > 0 -> (interval :: to_left, to_overlap, to_right)
| n when n < 0 -> (to_left, to_overlap, interval :: to_right)
| _ -> (to_left, interval :: to_overlap, to_right))
lst ([], [], [])
in
let left = of_alist_helper to_left in
let right = of_alist_helper to_right in
let intervals = to_overlap in
Node { center = median; left; right; intervals }
let of_alist lst =
lst
|> List.stable_sort Interval.compare_loc
|> of_alist_helper