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resolver.ml
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open Time_ast open Timestamp_utils type timestamp = Timedesc.Span.t type result_space = Time.Interval'.t list let default_result_space_start = Timedesc.Timestamp.min_val let default_result_space_end_exc = Timedesc.Timestamp.max_val let default_result_space : result_space = [ (default_result_space_start, default_result_space_end_exc) ] let empty_result_space = [] type t = | Empty | All | Intervals of result_space * Time.Interval'.t Seq.t | Pattern of result_space * Pattern.t | Bounded_intervals of { result_space : result_space; pick : [ `Whole | `Snd ]; bound : Timedesc.Span.t; start : Points.t; end_exc : Points.t; } | Unary_op of result_space * unary_op * t | Inter_seq of result_space * t Seq.t | Union_seq of result_space * t Seq.t | Unchunk of result_space * chunked and chunked = | Unary_op_on_t of chunked_unary_op_on_t * t | Unary_op_on_chunked of chunked_unary_op_on_chunked * chunked let rec t_of_ast (ast : Time_ast.t) : t = match ast with | Empty -> Empty | All -> All | Intervals s -> Intervals (default_result_space, s) | Pattern p -> Pattern (default_result_space, p) | Unary_op (op, t) -> Unary_op (default_result_space, op, t_of_ast t) | Inter_seq s -> Inter_seq (default_result_space, Seq.map t_of_ast s) | Union_seq s -> Union_seq (default_result_space, Seq.map t_of_ast s) | Bounded_intervals { pick; bound; start; end_exc } -> Bounded_intervals { result_space = default_result_space; pick; bound; start; end_exc } | Unchunk chunked -> Unchunk (default_result_space, chunked_of_ast_chunked chunked) and chunked_of_ast_chunked (c : Time_ast.chunked) : chunked = match c with | Unary_op_on_t (op, t) -> Unary_op_on_t (op, t_of_ast t) | Unary_op_on_chunked (op, chunked) -> Unary_op_on_chunked (op, chunked_of_ast_chunked chunked) let result_space_of_t (time : t) : result_space = match time with | All -> default_result_space | Empty -> empty_result_space | Intervals (s, _) -> s | Pattern (s, _) -> s | Bounded_intervals { result_space; _ } -> result_space | Unary_op (s, _, _) -> s | Inter_seq (s, _) -> s | Union_seq (s, _) -> s | Unchunk (s, _) -> s let deduce_child_result_space_bound_from_parent ~(parent : t) : result_space = let open Timedesc.Span in let space = result_space_of_t parent in match parent with | All | Empty | Intervals _ | Pattern _ | Bounded_intervals _ -> failwith "Unexpected case" | Unary_op (_, op, _) -> ( match op with | Shift n -> List.map (fun (x, y) -> if n >= zero then ( timestamp_safe_sub x n, if y >= Timedesc.Timestamp.max_val then y else timestamp_safe_sub y n ) else ( (if x <= Timedesc.Timestamp.min_val then x else timestamp_safe_sub x n), timestamp_safe_sub y n )) space | Lengthen n -> space |> CCList.to_seq |> Seq.map (fun (x, y) -> let y = if y >= Timedesc.Timestamp.max_val then y else timestamp_safe_sub y n in (x, max x y)) |> Time.Intervals.normalize |> CCList.of_seq | _ -> space) | Inter_seq _ | Union_seq _ -> space | Unchunk _ -> space let set_result_space space (t : t) : t = match t with | All -> All | Empty -> Empty | Intervals (_, x) -> Intervals (space, x) | Pattern (_, x) -> Pattern (space, x) | Unary_op (_, op, x) -> Unary_op (space, op, x) | Inter_seq (_, x) -> Inter_seq (space, x) | Union_seq (_, x) -> Union_seq (space, x) | Bounded_intervals { result_space = _; pick; bound; start; end_exc } -> Bounded_intervals { result_space = space; pick; bound; start; end_exc } | Unchunk (_, c) -> Unchunk (space, c) let result_space_of_year_range tz year_range = let aux_start start = if start = Timedesc.(year min_val) then Timedesc.Timestamp.min_val else Timedesc.make_exn ~tz ~year:start ~month:1 ~day:1 ~hour:0 ~minute:0 ~second:0 () |> Timedesc.to_timestamp |> Timedesc.min_of_local_result in let aux_end_inc end_exc = if end_exc = Timedesc.(year max_val) then Timedesc.Timestamp.max_val else Timedesc.make_exn ~tz ~year:end_exc ~month:12 ~day:31 ~hour:23 ~minute:59 ~second:59 ~ns:(Timedesc.Span.ns_count_in_s - 1) () |> Timedesc.to_timestamp |> Timedesc.max_of_local_result |> Timedesc.Span.succ in let aux_end_exc end_exc = Timedesc.make_exn ~tz ~year:end_exc ~month:1 ~day:1 ~hour:0 ~minute:0 ~second:0 () |> Timedesc.to_timestamp |> Timedesc.min_of_local_result in match year_range with | `Range_inc (start, end_inc) -> (aux_start start, aux_end_inc end_inc) | `Range_exc (start, end_exc) -> (aux_start start, aux_end_exc end_exc) let result_space_of_year tz year = result_space_of_year_range tz (`Range_inc (year, year)) let restrict_result_space ~(bound : result_space) t = let open Time in let cur = result_space_of_t t in let new_result_space = Intervals.Inter.inter ~skip_check:true (CCList.to_seq cur) (CCList.to_seq bound) |> CCList.of_seq in set_result_space new_result_space t let overapproximate_result_space_bottom_up default_tz (t : t) : t = let open Time in let rec aux (tz : Timedesc.Time_zone.t) (t : t) : t = match t with | All -> All | Empty -> Empty | Intervals (_, s) -> ( match s () with | Seq.Nil -> t | Seq.Cons ((start, _), _) -> Intervals ([ (start, default_result_space_end_exc) ], s)) | Pattern (_, pat) -> if Int_set.is_empty pat.years then Pattern (default_result_space, pat) else let space = pat.years |> Int_set.to_seq |> Seq.map (result_space_of_year tz) |> CCList.of_seq in Pattern (space, pat) | Bounded_intervals { result_space = _; pick; bound; start; end_exc } -> let result_space = match Points.to_date_time ~default_tz_info: (CCResult.get_exn @@ Timedesc.Time_zone_info.make ~tz ()) start with | None -> default_result_space | Some dt -> let space_start = dt |> Timedesc.to_timestamp |> Timedesc.min_of_local_result in let space_end_exc = dt |> Timedesc.to_timestamp |> Timedesc.max_of_local_result |> Timedesc.Span.add bound in [ (space_start, space_end_exc) ] in Bounded_intervals { result_space; pick; bound; start; end_exc } | Unary_op (_, op, t) -> ( let tz = match op with With_tz tz -> tz | _ -> tz in let t = aux tz t in let child_result_space = result_space_of_t t in match op with | Not -> Unary_op (default_result_space, op, t) | With_tz _ -> Unary_op (child_result_space, op, t) | Shift n -> let space = List.map (fun (x, y) -> (timestamp_safe_add x n, timestamp_safe_add y n)) child_result_space in Unary_op (space, op, t) | Lengthen n -> let space = child_result_space |> CCList.to_seq |> Seq.map (fun (x, y) -> (x, timestamp_safe_add y n)) |> Time.Intervals.normalize |> CCList.of_seq in Unary_op (space, op, t)) | Inter_seq (_, s) -> let s = Seq.map (aux tz) s in let space = s |> Seq.map result_space_of_t |> Seq.map CCList.to_seq |> Seq.map (Intervals.normalize ~skip_sort:true) |> Intervals.Inter.inter_multi_seq ~skip_check:true |> CCList.of_seq in Inter_seq (space, s) | Union_seq (_, s) -> let s = Seq.map (aux tz) s in let space = Seq.map result_space_of_t s |> Seq.map CCList.to_seq |> Intervals.Union.union_multi_seq |> CCList.of_seq in Union_seq (space, s) | Unchunk (_, c) -> Unchunk (aux_chunked tz c, c) and aux_chunked tz chunked : result_space = match chunked with | Unary_op_on_t (_op, time) -> let t = aux tz time in result_space_of_t t | Unary_op_on_chunked (_op, chunked) -> aux_chunked tz chunked in aux default_tz t let restrict_result_space_top_down (t : t) : t = let rec aux bound (t : t) : t = let t = restrict_result_space ~bound t in match t with | All | Empty | Intervals _ | Pattern _ | Bounded_intervals _ -> t | Unary_op (cur, op, t') -> Unary_op ( cur, op, aux (deduce_child_result_space_bound_from_parent ~parent:t) t' ) | Inter_seq (cur, s) -> Inter_seq ( cur, aux_seq (deduce_child_result_space_bound_from_parent ~parent:t) s ) | Union_seq (cur, s) -> Union_seq ( cur, aux_seq (deduce_child_result_space_bound_from_parent ~parent:t) s ) | Unchunk (_, _) -> t and aux_seq bound l = Seq.map (aux bound) l in aux default_result_space t let optimize_search_space default_tz t = t |> overapproximate_result_space_bottom_up default_tz |> restrict_result_space_top_down type inc_or_exc = | Inc | Exc let do_chunk_at_year_boundary tz (s : Time.Interval'.t Seq.t) = let rec aux s = match s () with | Seq.Nil -> Seq.empty | Seq.Cons ((t1, t2), rest) -> let dt1 = CCOpt.get_exn_or "Expected successful date time construction" @@ Timedesc.of_timestamp ~tz_of_date_time:tz t1 in let dt2 = t2 |> Timedesc.Span.pred |> Timedesc.of_timestamp ~tz_of_date_time:tz |> CCOpt.get_exn_or "Expected successful date time construction" in let dt1_year = Timedesc.year dt1 in if dt1_year = Timedesc.year dt2 then fun () -> Seq.Cons ((t1, t2), aux rest) else let t' = Timedesc.make_exn ~tz ~year:dt1_year ~month:12 ~day:31 ~hour:23 ~minute:59 ~second:59 ~ns:(Timedesc.Span.ns_count_in_s - 1) () |> Timedesc.to_timestamp |> Timedesc.max_of_local_result |> Timedesc.Span.succ in fun () -> Seq.Cons ((t1, t'), aux (fun () -> Seq.Cons ((t', t2), rest))) in aux s let do_chunk_at_month_boundary tz (s : Time.Interval'.t Seq.t) = let rec aux s = match s () with | Seq.Nil -> Seq.empty | Seq.Cons ((t1, t2), rest) -> let dt1 = CCOpt.get_exn_or "Expected successful date time construction" @@ Timedesc.of_timestamp ~tz_of_date_time:tz t1 in let dt1_year = Timedesc.year dt1 in let dt2 = t2 |> Timedesc.Span.pred |> Timedesc.of_timestamp ~tz_of_date_time:tz |> CCOpt.get_exn_or "Expected successful date time construction" in if dt1_year = Timedesc.year dt2 && Timedesc.month dt1 = Timedesc.month dt2 then fun () -> Seq.Cons ((t1, t2), aux rest) else let t' = Timedesc.make_exn ~year:dt1_year ~month:12 ~day:31 ~hour:23 ~minute:59 ~second:59 ~ns:(Timedesc.Span.ns_count_in_s - 1) () |> Timedesc.to_timestamp |> Timedesc.max_of_local_result |> Timedesc.Span.succ in fun () -> Seq.Cons ((t1, t'), aux (fun () -> Seq.Cons ((t', t2), rest))) in aux s let dynamic_search_space_adjustment_trigger_size = Timedesc.Span.For_human.(make_exn ~days:30 ()) let inter_slice_size = Timedesc.Span.For_human.(make_exn ~days:10 ()) let slice_result_space ~start (t : t) : t = let current = result_space_of_t t |> CCList.to_seq in let space = Time.Intervals.Slice.slice ~skip_check:true ~start current |> CCList.of_seq in set_result_space space t |> restrict_result_space_top_down let slice_result_space_multi ~start (l : t list) : t list = List.map (slice_result_space ~start) l let slice_result_space_multi_seq ~start (s : t Seq.t) : t Seq.t = Seq.map (slice_result_space ~start) s let normalize s = s |> Time.Intervals.normalize ~skip_filter_empty:false ~skip_filter_invalid:true ~skip_sort:true |> Time.slice_valid_interval let aux_pattern search_using_tz space pat = let open Time in let space = CCList.to_seq space in Timedesc.Time_zone.Raw.to_transition_seq search_using_tz |> Seq.flat_map (fun ((x, y), entry) -> let x = Timedesc.Span.make ~s:x () in let y = Timedesc.Span.make ~s:y () in let space = Intervals.Inter.inter (Seq.return (x, y)) space in let params = Seq.map (Pattern_resolver.Search_param.make ~search_using_offset_from_utc_s: Timedesc.Time_zone.(entry.offset)) space in Intervals.Union.union_multi_seq ~skip_check:true (Seq.map (fun param -> Pattern_resolver.resolve param pat) params)) let one_s = Timedesc.Span.make ~s:1L () let aux_points search_using_tz space (p : Points.t) : timestamp Seq.t = let search_using_tz = match p.tz_info with | None -> search_using_tz | Some { Timedesc.Time_zone_info.tz; _ } -> tz in aux_pattern search_using_tz space (Points.to_pattern p) |> Seq.filter_map (fun (x, y) -> assert (Timedesc.Span.(y - x <= one_s)); if x.ns = 0 then Some x else None) let rec aux search_using_tz time = let open Time in (match result_space_of_t time with | [] -> Seq.empty | _ -> ( match time with | Empty -> Seq.empty | All -> CCList.to_seq default_result_space | Intervals (_, s) -> s | Pattern (space, pat) -> aux_pattern search_using_tz space pat | Unary_op (space, op, t) -> ( let search_using_tz = match op with With_tz x -> x | _ -> search_using_tz in let s = aux search_using_tz t in match op with | Not -> Intervals.relative_complement ~skip_check:false ~not_mem_of:s (CCList.to_seq space) | Shift n -> Seq.map (fun (start, end_exc) -> Timedesc.Span.(start + n, end_exc + n)) s | Lengthen n -> s |> Seq.map (fun (start, end_exc) -> Timedesc.Span.(start, end_exc + n)) | With_tz _ -> s) | Inter_seq (_, s) -> aux_inter search_using_tz s | Union_seq (_, s) -> aux_union search_using_tz s | Bounded_intervals { result_space; pick; bound; start; end_exc } -> let search_space = match result_space with | [] -> [] | (x, y) :: rest -> (timestamp_safe_sub x bound, y) :: rest in aux_bounded_intervals ~search_space search_using_tz pick bound start end_exc | Unchunk (_, c) -> aux_chunked search_using_tz c)) |> normalize and get_points_after_start1 ~start1 ~(s2 : timestamp Seq.t) ~(p2 : Points.t) search_using_tz space : timestamp Seq.t * result_space = match s2 () with | Seq.Nil -> (Seq.empty, space) | Seq.Cons (start2, _) -> let open Timedesc.Span in if start2 < start1 && start1 - start2 >= dynamic_search_space_adjustment_trigger_size then let space = space |> CCList.to_seq |> Time.Intervals.Slice.slice ~start:(succ start1) |> CCList.of_seq in (aux_points search_using_tz space p2, space) else (OSeq.drop_while (fun start2 -> start2 <= start1) s2, space) and skip_points_in_p1 ~last_start2 ~(rest1 : timestamp Seq.t) ~(p1 : Points.t) search_using_tz bound space : timestamp Seq.t * result_space = let open Timedesc.Span in match rest1 () with | Seq.Nil -> (Seq.empty, space) | Seq.Cons (start1, _) -> let distance = last_start2 - start1 in if start1 <= last_start2 && distance >= bound && distance >= dynamic_search_space_adjustment_trigger_size then let search_start = last_start2 - bound in let space = space |> CCList.to_seq |> Time.Intervals.Slice.slice ~start:search_start |> CCList.of_seq in (aux_points search_using_tz space p1, space) else (rest1, space) and aux_bounded_intervals ~search_space search_using_tz pick bound p1 p2 = let _, search_space_end_exc = CCOpt.get_exn_or "Expected successful retrieval of last element in list" @@ Misc_utils.last_element_of_list search_space in let rec aux_bounded_intervals' s1 s2 space1 space2 p1 p2 = match s1 () with | Seq.Nil -> Seq.empty | Seq.Cons (start1, rest1) -> ( let open Timedesc.Span in if search_space_end_exc <= start1 then Seq.empty else let s2, space2 = get_points_after_start1 ~start1 ~s2 ~p2 search_using_tz space2 in match s2 () with | Seq.Nil -> Seq.empty | Seq.Cons (start2, _rest2) -> if search_space_end_exc <= start2 then Seq.empty else if start2 - start1 <= bound then let interval = match pick with | `Whole -> (start1, start2) | `Snd -> (start2, succ start2) in fun () -> Seq.Cons ( interval, aux_bounded_intervals' rest1 s2 space1 space2 p1 p2 ) else let s1, space1 = skip_points_in_p1 ~last_start2:start2 ~rest1 ~p1 search_using_tz bound space1 in aux_bounded_intervals' s1 s2 space1 space2 p1 p2) in aux_bounded_intervals' (aux_points search_using_tz search_space p1) (aux_points search_using_tz search_space p2) search_space search_space p1 p2 and aux_union search_using_tz timeres = let open Time in let resolve_and_merge (s : t Seq.t) : Interval'.t Seq.t = Seq.map (aux search_using_tz) s |> Time.Intervals.Merge.merge_multi_seq ~skip_check:true in let rec aux_union' (timeres : t Seq.t) (intervals : Interval'.t Seq.t) = match intervals () with | Seq.Nil -> Seq.empty | Seq.Cons ((start, end_exc), rest) -> let open Timedesc.Span in let size = end_exc - start in if size >= dynamic_search_space_adjustment_trigger_size then let timeres = slice_result_space_multi_seq ~start:end_exc timeres in let next_intervals = resolve_and_merge timeres |> OSeq.drop_while (fun x -> Time.Interval'.le x (start, end_exc)) in fun () -> Seq.Cons ((start, end_exc), aux_union' timeres next_intervals) else fun () -> Seq.Cons ((start, end_exc), aux_union' timeres rest) in aux_union' timeres (resolve_and_merge timeres) and aux_inter search_using_tz timeres = let open Time in let slice_batches ~start batches = List.map (Intervals.Slice.slice ~skip_check:true ~start) batches in let resolve ~start search_using_tz timeres = timeres |> List.map (aux search_using_tz) |> slice_batches ~start in let collect_batch (l : Interval'.t Seq.t list) : Interval'.t option list = List.map (fun s -> match s () with Seq.Nil -> None | Seq.Cons (x, _) -> Some x) l in let rec aux_inter' ~start (timeres : t list) = let interval_batches = resolve ~start search_using_tz timeres in let batch_for_sampling = collect_batch interval_batches in if List.exists CCOpt.is_none batch_for_sampling then Seq.empty else let batch_for_sampling = CCList.map (CCOpt.get_exn_or "Unexpected None in batch_for_sampling") batch_for_sampling in match batch_for_sampling with | [] -> Seq.empty | _ -> let open Timedesc.Span in let rightmost_interval = batch_for_sampling |> List.sort_uniq (fun x y -> Time.Interval'.compare y x) |> List.hd in let rightmost_start = fst rightmost_interval in let end_exc = rightmost_start + inter_slice_size in (* we shift the start of our scope to rightmost_start *) let timeres = slice_result_space_multi ~start:rightmost_start timeres in (* refresh the interval batches if the gap is too large *) let interval_batches = if rightmost_start - start >= dynamic_search_space_adjustment_trigger_size then resolve ~start:rightmost_start search_using_tz timeres else slice_batches ~start:rightmost_start interval_batches in let intervals_up_to_end_exc = interval_batches |> CCList.to_seq |> Seq.map (Intervals.Slice.slice ~skip_check:true ~end_exc) |> Intervals.Inter.inter_multi_seq ~skip_check:true in fun () -> Seq.Cons (intervals_up_to_end_exc, aux_inter' ~start:end_exc timeres) in aux_inter' ~start:default_result_space_start (CCList.of_seq timeres) |> Seq.flat_map CCFun.id and aux_chunked search_using_tz (chunked : chunked) = let open Time in let chunk_based_on_op_on_t op s = match op with | Chunk_disjoint_interval -> normalize s | Chunk_by_duration { chunk_size; drop_partial } -> Intervals.chunk ~skip_check:true ~drop_partial ~chunk_size s | Chunk_at_year_boundary -> do_chunk_at_year_boundary search_using_tz s | Chunk_at_month_boundary -> do_chunk_at_month_boundary search_using_tz s in match chunked with | Unary_op_on_t (op, t) -> aux search_using_tz t |> chunk_based_on_op_on_t op | Unary_op_on_chunked (op, c) -> ( let s = aux_chunked search_using_tz c in match op with | Nth n -> s |> OSeq.drop n |> OSeq.take 1 | Drop n -> OSeq.drop n s | Take n -> OSeq.take n s | Take_nth n -> OSeq.take_nth n s | Chunk_again op -> chunk_based_on_op_on_t op s) let resolve' ~search_using_tz (time : t) : (Time.Interval'.t Seq.t, string) result = let open Time in try Ok (time |> optimize_search_space search_using_tz |> aux search_using_tz) with | Interval_is_invalid -> Error "Invalid interval" | Intervals_are_not_sorted -> Error "Intervals are not sorted" let resolve ?(search_using_tz = Timedesc.Time_zone.utc) (time : Time_ast.t) : (Time.Interval'.t Seq.t, string) result = resolve' ~search_using_tz (t_of_ast time)