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open Kcas
(** Optimized operations on internal association lists with custom equality. *)
module Assoc = struct
type ('k, 'v) t = ('k * 'v) list
let iter_rev f = function
| [] -> ()
| [ kv ] -> f kv
| kvs -> kvs |> List.rev |> List.iter f
let find_opt equal k = function
| [] -> None
| (k', v) :: kvs ->
if equal k k' then Some v
else
kvs
|> List.find_map @@ fun (k', v) -> if equal k k' then Some v else None
let find_all equal k =
List.filter_map @@ fun (k', v) -> if equal k k' then Some v else None
let mem equal k = function
| [] -> false
| (k', _) :: kvs ->
equal k k' || kvs |> List.exists @@ fun (k', _) -> equal k k'
let[@tail_mod_cons] rec remove equal change k = function
| [] -> []
| ((k', _) as kv') :: kvs' ->
if equal k k' then (
change := `Removed;
kvs')
else kv' :: remove equal change k kvs'
let[@tail_mod_cons] rec replace equal change k v = function
| [] ->
change := `Added;
[ (k, v) ]
| ((k', v') as kv') :: kvs' as original ->
if equal k k' then
if v == v' then original
else (
change := `Replaced;
(k, v) :: kvs')
else kv' :: replace equal change k v kvs'
let[@tail_mod_cons] rec filter_map fn delta = function
| [] -> []
| ((k, v) as original_kv) :: kvs -> (
match fn k v with
| None ->
decr delta;
filter_map fn delta kvs
| Some v' ->
let kv = if v == v' then original_kv else (k, v') in
kv :: filter_map fn delta kvs)
end
type ('k, 'v) pending =
| Nothing
| Rehash of {
state : int Loc.t;
new_capacity : int;
new_buckets : ('k, 'v) Assoc.t Loc.t array Loc.t;
}
| Snapshot of { state : int Loc.t; snapshot : ('k * 'v) list array Loc.t }
| Filter_map of {
state : int Loc.t;
fn : 'k -> 'v -> 'v option;
raised : exn Loc.t;
new_buckets : ('k, 'v) Assoc.t Loc.t array Loc.t;
}
type ('k, 'v) t = {
pending : ('k, 'v) pending Loc.t;
length : Accumulator.t;
buckets : ('k, 'v) Assoc.t Loc.t array Loc.t;
hash : 'k -> int;
equal : 'k -> 'k -> bool;
min_buckets : int;
max_buckets : int;
}
type 'k hashed_type = (module Stdlib.Hashtbl.HashedType with type t = 'k)
let lo_buckets = 1 lsl 5
let hi_buckets = (Sys.max_array_length lsr 1) + 1
let () = assert (Bits.is_pow_2 hi_buckets)
let min_buckets_default = lo_buckets
let max_buckets_default = Int.min hi_buckets (1 lsl 30 )
module HashedType = struct
let pack (type k) hash equal : k hashed_type =
(module struct
type t = k
let hash = hash
and equal = equal
end)
let unpack (type k) ((module HashedType) : k hashed_type) =
(HashedType.hash, HashedType.equal)
let is_same_as (type k) hash equal ((module HashedType) : k hashed_type) =
hash == HashedType.hash && equal == HashedType.equal
end
let create ?hashed_type ?min_buckets ?max_buckets ?n_way () =
let min_buckets =
match min_buckets with
| None -> min_buckets_default
| Some c -> Int.max lo_buckets c |> Int.min hi_buckets |> Bits.ceil_pow_2
in
let max_buckets =
match max_buckets with
| None -> Int.max min_buckets max_buckets_default
| Some c -> Int.max min_buckets c |> Int.min hi_buckets |> Bits.ceil_pow_2
and hash, equal =
match hashed_type with
| None -> (Stdlib.Hashtbl.seeded_hash (Random.bits ()), ( = ))
| Some hashed_type -> HashedType.unpack hashed_type
and pending = Loc.make Nothing
and buckets = Loc.make [||]
and length = Accumulator.make ?n_way 0 in
Loc.set buckets @@ Loc.make_array min_buckets [];
{ pending; length; buckets; hash; equal; min_buckets; max_buckets }
let n_way_of t = Accumulator.n_way_of t.length
let min_buckets_of t = t.min_buckets
let max_buckets_of t = t.max_buckets
let hashed_type_of t = HashedType.pack t.hash t.equal
let bucket_of hash key buckets =
Array.unsafe_get buckets (hash key land (Array.length buckets - 1))
exception Done
module Xt = struct
let find_opt ~xt t k =
Xt.get ~xt t.buckets |> bucket_of t.hash k |> Xt.get ~xt
|> Assoc.find_opt t.equal k
let find_all ~xt t k =
Xt.get ~xt t.buckets |> bucket_of t.hash k |> Xt.get ~xt
|> Assoc.find_all t.equal k
let mem ~xt t k =
Xt.get ~xt t.buckets |> bucket_of t.hash k |> Xt.get ~xt
|> Assoc.mem t.equal k
let get_or_alloc array_loc alloc =
let tx ~xt =
let array = Xt.get ~xt array_loc in
if array != [||] then array
else
let array = alloc () in
Xt.set ~xt array_loc array;
array
in
Xt.commit { tx }
(** Pending operations are performed incrementally in small batches. *)
let batch_size = 3
let perform_pending ~xt t =
let must_be_done_in_this_tx = Xt.is_in_log ~xt t.pending in
match Xt.exchange ~xt t.pending Nothing with
| Nothing -> ()
| Rehash { state; new_capacity; new_buckets } -> (
let new_buckets =
get_or_alloc new_buckets @@ fun () -> Loc.make_array new_capacity []
in
let old_buckets = Xt.exchange ~xt t.buckets new_buckets in
let hash = t.hash and mask = new_capacity - 1 in
let rehash_a_few_buckets ~xt =
let i = Xt.fetch_and_add ~xt state (-batch_size) in
if i <= 0 then raise Done;
for i = i - 1 downto Bits.max_0 (i - batch_size) do
Array.unsafe_get old_buckets i
|> Xt.get ~xt
|> Assoc.iter_rev @@ fun ((k, _) as kv) ->
Xt.modify ~xt
(Array.unsafe_get new_buckets (hash k land mask))
(List.cons kv)
done
in
try
if must_be_done_in_this_tx then
let initial_state = Array.length old_buckets in
while true do
if Loc.fenceless_get state != initial_state then Retry.invalid ();
rehash_a_few_buckets ~xt
done
else
while true do
Xt.commit { tx = rehash_a_few_buckets }
done
with Done -> ())
| Snapshot { state; snapshot } -> (
assert (not must_be_done_in_this_tx);
let buckets = Xt.get ~xt t.buckets in
if Loc.fenceless_get state < 0 then Retry.invalid ();
let snapshot =
get_or_alloc snapshot @@ fun () ->
Array.make (Array.length buckets) []
in
let snapshot_a_few_buckets ~xt =
let i = Xt.fetch_and_add ~xt state (-batch_size) in
if i <= 0 then raise Done;
for i = i - 1 downto Bits.max_0 (i - batch_size) do
Array.unsafe_get buckets i |> Xt.get ~xt
|> Array.unsafe_set snapshot i
done
in
try
while true do
Xt.commit { tx = snapshot_a_few_buckets }
done
with Done -> ())
| Filter_map { state; fn; raised; new_buckets } -> (
assert (not must_be_done_in_this_tx);
let old_buckets = Xt.get ~xt t.buckets in
if Loc.fenceless_get state < 0 then Retry.invalid ();
let new_capacity = Array.length old_buckets in
let new_buckets =
get_or_alloc new_buckets @@ fun () -> Loc.make_array new_capacity []
in
let filter_map_a_few_buckets ~xt =
let i = Xt.fetch_and_add ~xt state (-batch_size) in
if i <= 0 then raise Done;
let a_few_buckets_delta = ref 0 in
for i = i - 1 downto Bits.max_0 (i - batch_size) do
Xt.get ~xt (Array.unsafe_get old_buckets i)
|> Assoc.filter_map fn a_few_buckets_delta
|> Xt.set ~xt (Array.unsafe_get new_buckets i)
done;
!a_few_buckets_delta
in
let total_delta = ref 0 in
try
while true do
total_delta :=
!total_delta + Xt.commit { tx = filter_map_a_few_buckets }
done
with
| Done ->
Accumulator.Xt.add ~xt t.length !total_delta;
Xt.set ~xt t.buckets new_buckets
| exn -> Loc.compare_and_set raised Done exn |> ignore)
let make_rehash old_capacity new_capacity =
let state = Loc.make old_capacity and new_buckets = Loc.make [||] in
Rehash { state; new_capacity; new_buckets }
let reset ~xt t =
perform_pending ~xt t;
Xt.set ~xt t.buckets [||];
Accumulator.Xt.set ~xt t.length 0;
Xt.set ~xt t.pending @@ make_rehash 0 t.min_buckets
let clear ~xt t = reset ~xt t
let remove ~xt t k =
perform_pending ~xt t;
let buckets = Xt.get ~xt t.buckets in
let mask = Array.length buckets - 1 in
let bucket = Array.unsafe_get buckets (t.hash k land mask) in
let change = ref `None in
Xt.modify ~xt bucket (fun kvs ->
let kvs' = Assoc.remove t.equal change k kvs in
if !change != `None then kvs' else kvs);
if !change == `Removed then (
Accumulator.Xt.decr ~xt t.length;
if t.min_buckets <= mask && Random.bits () land mask = 0 then
let capacity = mask + 1 in
let length = Accumulator.Xt.get ~xt t.length in
if length * 4 < capacity then
Xt.set ~xt t.pending @@ make_rehash capacity (capacity asr 1))
let add ~xt t k v =
perform_pending ~xt t;
let buckets = Xt.get ~xt t.buckets in
let mask = Array.length buckets - 1 in
let bucket = Array.unsafe_get buckets (t.hash k land mask) in
Xt.modify ~xt bucket (List.cons (k, v));
Accumulator.Xt.incr ~xt t.length;
if mask + 1 < t.max_buckets && Random.bits () land mask = 0 then
let capacity = mask + 1 in
let length = Accumulator.Xt.get ~xt t.length in
if capacity < length then
Xt.set ~xt t.pending @@ make_rehash capacity (capacity * 2)
let replace ~xt t k v =
perform_pending ~xt t;
let buckets = Xt.get ~xt t.buckets in
let mask = Array.length buckets - 1 in
let bucket = Array.unsafe_get buckets (t.hash k land mask) in
let change = ref `None in
Xt.modify ~xt bucket (fun kvs ->
let kvs' = Assoc.replace t.equal change k v kvs in
if !change != `None then kvs' else kvs);
if !change == `Added then (
Accumulator.Xt.incr ~xt t.length;
if mask + 1 < t.max_buckets && Random.bits () land mask = 0 then
let capacity = mask + 1 in
let length = Accumulator.Xt.get ~xt t.length in
if capacity < length then
Xt.set ~xt t.pending @@ make_rehash capacity (capacity * 2))
let length ~xt t = Accumulator.Xt.get ~xt t.length
end
let find_opt t k =
Loc.get t.buckets |> bucket_of t.hash k |> Loc.fenceless_get
|> Assoc.find_opt t.equal k
let find_all t k =
Loc.get t.buckets |> bucket_of t.hash k |> Loc.fenceless_get
|> Assoc.find_all t.equal k
let find t k = match find_opt t k with None -> raise Not_found | Some v -> v
let mem t k =
Loc.get t.buckets |> bucket_of t.hash k |> Loc.fenceless_get
|> Assoc.mem t.equal k
let clear t = Kcas.Xt.commit { tx = Xt.clear t }
let reset t = Kcas.Xt.commit { tx = Xt.reset t }
let remove t k = Kcas.Xt.commit { tx = Xt.remove t k }
let add t k v = Kcas.Xt.commit { tx = Xt.add t k v }
let replace t k v = Kcas.Xt.commit { tx = Xt.replace t k v }
let length t = Accumulator.get t.length
let snapshot ?length t =
let state = Loc.make 0 and snapshot = Loc.make [||] in
let pending = Snapshot { state; snapshot } in
let tx ~xt =
Xt.perform_pending ~xt t;
length
|> Option.iter (fun length -> length := Accumulator.Xt.get ~xt t.length);
Loc.set state (Array.length (Kcas.Xt.get ~xt t.buckets));
Kcas.Xt.set ~xt t.pending pending
in
Kcas.Xt.commit { tx };
Kcas.Xt.commit { tx = Xt.perform_pending t };
Loc.fenceless_get snapshot
let to_seq t =
let snapshot = snapshot t in
let rec loop i kvs () =
match kvs with
| [] ->
if i = Array.length snapshot then Seq.Nil
else loop (i + 1) (Array.unsafe_get snapshot i) ()
| kv :: kvs -> Seq.Cons (kv, loop i kvs)
in
loop 0 []
let to_seq_keys t = to_seq t |> Seq.map fst
let to_seq_values t = to_seq t |> Seq.map snd
let of_seq ?hashed_type ?min_buckets ?max_buckets ?n_way xs =
let t = create ?hashed_type ?min_buckets ?max_buckets ?n_way () in
Seq.iter (fun (k, v) -> replace t k v) xs;
t
let rebuild ?hashed_type ?min_buckets ?max_buckets ?n_way t =
let min_buckets =
match min_buckets with
| None -> min_buckets_of t
| Some c -> Int.max lo_buckets c |> Int.min hi_buckets |> Bits.ceil_pow_2
in
let max_buckets =
match max_buckets with
| None -> Int.max min_buckets (max_buckets_of t)
| Some c -> Int.max min_buckets c |> Int.min hi_buckets |> Bits.ceil_pow_2
and n_way = match n_way with None -> n_way_of t | Some n -> n
and length = ref 0 in
let snapshot = snapshot ~length t in
let is_same_hashed_type =
match hashed_type with
| None -> true
| Some hashed_type -> HashedType.is_same_as t.hash t.equal hashed_type
and length = !length in
if is_same_hashed_type && min_buckets <= length && length <= max_buckets then (
let pending = Loc.make Nothing
and buckets = Loc.make [||]
and length = Accumulator.make ~n_way length in
Loc.set buckets @@ Array.map Loc.make snapshot;
{ t with pending; length; buckets; min_buckets; max_buckets })
else
let t = create ?hashed_type ~min_buckets ~max_buckets ~n_way () in
snapshot
|> Array.iter (fun bucket ->
bucket |> List.rev |> List.iter (fun (k, v) -> add t k v));
t
let copy t = rebuild t
let fold f t a =
Array.fold_left (List.fold_left (fun a (k, v) -> f k v a)) a (snapshot t)
let iter f t = fold (fun k v () -> f k v) t ()
let filter_map_inplace fn t =
let state = Loc.make 0
and raised = Loc.make Done
and new_buckets = Loc.make [||] in
let pending = Filter_map { state; fn; raised; new_buckets } in
let tx ~xt =
Xt.perform_pending ~xt t;
Loc.set state (Array.length (Kcas.Xt.get ~xt t.buckets));
Kcas.Xt.set ~xt t.pending pending
in
Kcas.Xt.commit { tx };
Kcas.Xt.commit { tx = Xt.perform_pending t };
match Loc.fenceless_get raised with Done -> () | exn -> raise exn
let stats t =
let length = ref 0 in
let snapshot = snapshot ~length t in
let num_bindings = !length in
let num_buckets = Array.length snapshot in
let bucket_lengths = Array.map List.length snapshot in
let max_bucket_length = Array.fold_left Int.max 0 bucket_lengths in
let bucket_histogram = Array.make (max_bucket_length + 1) 0 in
bucket_lengths
|> Array.iter (fun i -> bucket_histogram.(i) <- 1 + bucket_histogram.(i));
Stdlib.Hashtbl.
{ num_bindings; num_buckets; max_bucket_length; bucket_histogram }