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hashtbl.ml1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512open Kcas (** Optimized operations on internal association lists with custom equality. *) module Assoc = struct type ('k, 'v) t = Nil | Cons of { k : 'k; v : 'v; kvs : ('k, 'v) t } let[@inline] cons k v kvs = Cons { k; v; kvs } let rec fold fn accum = function | Nil -> accum | Cons { k; v; kvs } -> fold fn (fn k v accum) kvs let length kvs = fold (fun _ _ n -> n + 1) 0 kvs let rec rev_append kvs accum = match kvs with | Nil -> accum | Cons { k; v; kvs } -> rev_append kvs (Cons { k; v; kvs = accum }) let rev kvs = rev_append kvs Nil let rec iter fn = function | Nil -> () | Cons { k; v; kvs } -> fn k v; iter fn kvs let iter_rev fn = function | Nil -> () | Cons { k; v; kvs = Nil } -> fn k v | kvs -> kvs |> rev |> iter fn let rec find_opt equal k' = function | Nil -> None | Cons r -> if equal r.k k' then Some r.v else find_opt equal k' r.kvs let[@tail_mod_cons] rec find_all equal k' = function | Nil -> [] | Cons { k; v; kvs } -> if equal k k' then v :: find_all equal k' kvs else find_all equal k' kvs let rec mem equal k' = function | Nil -> false | Cons r -> equal r.k k' || mem equal k' r.kvs exception Not_found let[@tail_mod_cons] rec remove equal k' = function | Nil -> raise_notrace Not_found | Cons r -> if equal r.k k' then r.kvs else Cons { k = r.k; v = r.v; kvs = remove equal k' r.kvs } type change = Nop | Replaced | Added let[@tail_mod_cons] rec replace equal change k' v' = function | Nil -> change := Added; Cons { k = k'; v = v'; kvs = Nil } | Cons r as original -> if equal r.k k' then if r.v == v' then original else begin change := Replaced; Cons { k = r.k; v = v'; kvs = r.kvs } end else Cons { k = r.k; v = r.v; kvs = replace equal change k' v' r.kvs } let[@tail_mod_cons] rec filter_map fn delta = function | Nil -> Nil | Cons { k; v; kvs } -> begin match fn k v with | None -> decr delta; filter_map fn delta kvs | Some v' -> Cons { k; v = v'; kvs = filter_map fn delta kvs } end 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) Assoc.t 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) r = { pending : ('k, 'v) pending; length : Accumulator.t; buckets : ('k, 'v) Assoc.t Loc.t array; hash : 'k -> int; equal : 'k -> 'k -> bool; min_buckets : int; max_buckets : int; } type ('k, 'v) t = ('k, 'v) r Loc.t 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 (* Limit of [hash] *)) 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 () = 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 t = Loc.make ~padded:true (Obj.magic ()) 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 = Nothing and buckets = Loc.make_array min_buckets Assoc.Nil and length = Accumulator.make 0 in Loc.set t (Multicore_magic.copy_as_padded { pending; length; buckets; hash; equal; min_buckets; max_buckets }); t let min_buckets_of t = (Loc.get t).min_buckets let max_buckets_of t = (Loc.get t).max_buckets let hashed_type_of t = let r = Loc.get t in HashedType.pack r.hash r.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 = let r = Xt.get ~xt t in r.buckets |> bucket_of r.hash k |> Xt.get ~xt |> Assoc.find_opt r.equal k let find_all ~xt t k = let r = Xt.get ~xt t in r.buckets |> bucket_of r.hash k |> Xt.get ~xt |> Assoc.find_all r.equal k let mem ~xt t k = let r = Xt.get ~xt t in r.buckets |> bucket_of r.hash k |> Xt.get ~xt |> Assoc.mem r.equal k let get_or_alloc array_loc make length = let tx ~xt = let array = Xt.get ~xt array_loc in if array != [||] then array else let array = make length Assoc.Nil 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 = (* TODO: Implement pending operations such that multiple domains may be working to complete them in parallel by extending the [state] to an array of multiple partition [states]. *) let must_be_done_in_this_tx = Xt.is_in_log ~xt t in let r = Xt.get ~xt t in match r.pending with | Nothing -> r | Rehash { state; new_capacity; new_buckets } -> begin let new_buckets = get_or_alloc new_buckets Loc.make_array new_capacity in let old_buckets = r.buckets in let r = Multicore_magic.copy_as_padded { r with pending = Nothing; buckets = new_buckets } in Xt.set ~xt t r; let hash = r.hash and mask = new_capacity - 1 in let rehash_a_few_buckets ~xt = (* We process buckets in descending order as that is slightly faster with the transaction log. It also makes sure that we know when the operation has already been performed independently of the buckets array we read above. *) let i = Xt.fetch_and_add ~xt state (-batch_size) in if i <= 0 then raise_notrace 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 v -> Xt.modify ~xt (Array.unsafe_get new_buckets (hash k land mask)) (Assoc.cons k v) done in try if must_be_done_in_this_tx then begin (* If the old buckets have already been accessed, we cannot perform rehashing outside of the transaction. In this case rehashing becomes linearithmic, O(n*log(n)), because that is the best that the transaction log promises. However, as we access the bucket locations mostly in order, we often actually get linear time, O(n), performance. *) let initial_state = Array.length old_buckets in while true do (* If state is modified outside our expensive tx would fail. *) if Loc.fenceless_get state != initial_state then Retry.invalid (); rehash_a_few_buckets ~xt done; r end else begin (* When possible, rehashing is performed cooperatively a few buckets at a time. This gives expected linear time, O(n). *) while true do Xt.commit { tx = rehash_a_few_buckets } done; r end with Done -> r end | Snapshot { state; snapshot } -> begin assert (not must_be_done_in_this_tx); let buckets = r.buckets in let r = Multicore_magic.copy_as_padded { r with pending = Nothing } in Xt.set ~xt t r; (* Check state to ensure that buckets have not been updated. *) if Loc.fenceless_get state < 0 then Retry.invalid (); let snapshot = get_or_alloc snapshot 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_notrace 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; r with Done -> r end | Filter_map { state; fn; raised; new_buckets } -> begin assert (not must_be_done_in_this_tx); let old_buckets = r.buckets in (* Check state to ensure that buckets have not been updated. *) 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 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_notrace 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; r with | Done -> Accumulator.Xt.add ~xt r.length !total_delta; let r = Multicore_magic.copy_as_padded { r with pending = Nothing; buckets = new_buckets } in Xt.set ~xt t r; r | exn -> Loc.compare_and_set raised Done exn |> ignore; let r = Multicore_magic.copy_as_padded { r with pending = Nothing } in Xt.set ~xt t r; r end let[@inline] 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 = let r = perform_pending ~xt t in Accumulator.Xt.set ~xt r.length 0; let buckets = Loc.make_array r.min_buckets Assoc.Nil in Xt.set ~xt t { r with buckets } let clear ~xt t = reset ~xt t let remove ~xt t k = let r = perform_pending ~xt t in let buckets = r.buckets in let mask = Array.length buckets - 1 in let bucket = Array.unsafe_get buckets (r.hash k land mask) in match Xt.modify ~xt bucket (Assoc.remove r.equal k) with | () -> Accumulator.Xt.decr ~xt r.length; if r.min_buckets <= mask && Random.bits () land mask = 0 then let capacity = mask + 1 in let length = Accumulator.Xt.get ~xt r.length in if length * 4 < capacity then Xt.set ~xt t { r with pending = make_rehash capacity (capacity asr 1) } | exception Assoc.Not_found -> () let add ~xt t k v = let r = perform_pending ~xt t in let buckets = r.buckets in let mask = Array.length buckets - 1 in let bucket = Array.unsafe_get buckets (r.hash k land mask) in Xt.modify ~xt bucket (Assoc.cons k v); Accumulator.Xt.incr ~xt r.length; if mask + 1 < r.max_buckets && Random.bits () land mask = 0 then let capacity = mask + 1 in let length = Accumulator.Xt.get ~xt r.length in if capacity < length then Xt.set ~xt t { r with pending = make_rehash capacity (capacity * 2) } let replace ~xt t k v = let r = perform_pending ~xt t in let buckets = r.buckets in let mask = Array.length buckets - 1 in let bucket = Array.unsafe_get buckets (r.hash k land mask) in let change = ref Assoc.Nop in Xt.modify ~xt bucket (fun kvs -> let kvs' = Assoc.replace r.equal change k v kvs in if !change != Assoc.Nop then kvs' else kvs); if !change == Assoc.Added then begin Accumulator.Xt.incr ~xt r.length; if mask + 1 < r.max_buckets && Random.bits () land mask = 0 then let capacity = mask + 1 in let length = Accumulator.Xt.get ~xt r.length in if capacity < length then Xt.set ~xt t { r with pending = make_rehash capacity (capacity * 2) } end let length ~xt t = Accumulator.Xt.get ~xt (Xt.get ~xt t).length let swap = Xt.swap end let find_opt t k = let t = Loc.get t in (* Fenceless is safe as we have a fence above. *) t.buckets |> bucket_of t.hash k |> Loc.fenceless_get |> Assoc.find_opt t.equal k let find_all t k = let t = Loc.get t in (* Fenceless is safe as we have a fence above. *) 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 = let t = Loc.get t in (* Fenceless is safe as we have a fence above. *) 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 (Loc.get t).length let swap t1 t2 = Kcas.Xt.commit { tx = Xt.swap t1 t2 } let snapshot ?length ?record t = let state = Loc.make 0 and snapshot = Loc.make [||] in let pending = Snapshot { state; snapshot } in let tx ~xt = let r = Xt.perform_pending ~xt t in length |> Option.iter (fun length -> length := Accumulator.Xt.get ~xt r.length); record |> Option.iter (fun record -> record := r); Loc.set state (Array.length r.buckets); Kcas.Xt.set ~xt t { r with pending } in Kcas.Xt.commit { tx }; Kcas.Xt.commit { tx = Xt.perform_pending t } |> ignore; (* Fenceless is safe as commit above has fences. *) Loc.fenceless_get snapshot let to_seq t = let snapshot = snapshot t in let rec loop i kvs () = match kvs with | Assoc.Nil -> if i = Array.length snapshot then Seq.Nil else loop (i + 1) (Array.unsafe_get snapshot i) () | Cons { k; v; kvs } -> Seq.Cons ((k, v), loop i kvs) in loop 0 Nil 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 xs = let t = create ?hashed_type ?min_buckets ?max_buckets () in Seq.iter (fun (k, v) -> replace t k v) xs; t let rebuild ?hashed_type ?min_buckets ?max_buckets t = let record = ref (Obj.magic ()) and length = ref 0 in let snapshot = snapshot ~length ~record t in let r = !record in let min_buckets = match min_buckets with | None -> r.min_buckets | 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 r.max_buckets | Some c -> Int.max min_buckets c |> Int.min hi_buckets |> Bits.ceil_pow_2 in let is_same_hashed_type = match hashed_type with | None -> true | Some hashed_type -> HashedType.is_same_as r.hash r.equal hashed_type and length = !length in if is_same_hashed_type && min_buckets <= length && length <= max_buckets then begin let t = Loc.make ~padded:true (Obj.magic ()) in let pending = Nothing and buckets = Array.map Loc.make snapshot and length = Accumulator.make length in Loc.set t @@ Multicore_magic.copy_as_padded { r with pending; length; buckets; min_buckets; max_buckets }; t end else let t = create ?hashed_type ~min_buckets ~max_buckets () in snapshot |> Array.iter (Assoc.iter_rev (add t)); t let copy t = rebuild t let fold fn t a = Array.fold_left (Assoc.fold fn) 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 = let r = Xt.perform_pending ~xt t in Loc.set state (Array.length r.buckets); Kcas.Xt.set ~xt t { r with pending } in Kcas.Xt.commit { tx }; Kcas.Xt.commit { tx = Xt.perform_pending t } |> ignore; (* Fenceless is safe as commit above has fences. *) 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 Assoc.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 }