package kcas
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Source file kcas.ml
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Fenceless operations have been seen to provide significant performance improvements on ARM (Apple M1). *) (**) external fenceless_get : 'a Atomic.t -> 'a = "%field0" external fenceless_set : 'a Atomic.t -> 'a -> unit = "%setfield0" (**) (* let fenceless_get = Atomic.get let fenceless_set = Atomic.set *) module Backoff = Backoff module Id = struct let neg_id = Atomic.make (-1) let neg_ids n = Atomic.fetch_and_add neg_id (-n) [@@inline] let neg_id () = neg_ids 1 [@@inline] let nat_id = Atomic.make Int.max_int let nat_ids n = Atomic.fetch_and_add nat_id (-n) [@@inline] let nat_id () = nat_ids 1 [@@inline] end module Action : sig type t val noop : t val append : (unit -> unit) -> t -> t val run : t -> 'a -> 'a end = struct type t = unit -> unit let noop = Fun.id let append action t = if t == noop then action else fun x -> action (t x) [@@inline] let run t x = t (); x [@@inline] end type awaiter = unit -> unit let resume_awaiter awaiter = awaiter () [@@inline] let resume_awaiters result = function | [] -> result | [ awaiter ] -> resume_awaiter awaiter; result | awaiters -> List.iter resume_awaiter awaiters; result [@@inline] type determined = [ `After | `Before ] type 'a state = { mutable before : 'a; mutable after : 'a; mutable casn : casn; awaiters : awaiter list; } and cass = | CASN : { loc : 'a loc; state : 'a state; lt : cass; gt : cass; mutable awaiters : awaiter list; } -> cass | NIL : cass and casn = status Atomic.t and status = [ `Undetermined of cass | determined ] (* NOTE: You can adjust comment blocks below to select whether or not to use an unsafe cast to avoid a level of indirection due to [Atomic.t] and reduce the size of a location by two words. This has been seen to provide significant performance improvements. *) (**) and 'a loc = { mutable _state : 'a state; id : int } external as_atomic : 'a loc -> 'a state Atomic.t = "%identity" let make_loc state id = { _state = state; id } [@@inline] (**) (* and 'a loc = { state : 'a state Atomic.t; id : int } let as_atomic loc = loc.state [@@inline] let make_loc state id = { state = Atomic.make state; id } [@@inline] *) let is_cmp casn state = state.casn != casn [@@inline] module Mode = struct type t = determined let lock_free = (`After :> t) let obstruction_free = (`Before :> t) exception Interference end let casn_after = Atomic.make `After let casn_before = Atomic.make `Before let rec release_after casn = function | NIL -> true | CASN { state; lt; gt; awaiters; _ } -> if lt != NIL then release_after casn lt |> ignore; if not (is_cmp casn state) then ( state.before <- state.after; state.casn <- casn_after; resume_awaiters () awaiters); release_after casn gt let rec release_before casn = function | NIL -> false | CASN { state; lt; gt; awaiters; _ } -> if lt != NIL then release_before casn lt |> ignore; if not (is_cmp casn state) then ( state.after <- state.before; state.casn <- casn_before; resume_awaiters () awaiters); release_before casn gt let release casn cass = function | `After -> release_after casn cass | `Before -> release_before casn cass let rec verify casn = function | NIL -> `After | CASN { loc; state; lt; gt; _ } -> ( if lt == NIL then if is_cmp casn state && fenceless_get (as_atomic loc) != state then `Before else verify casn gt else match verify casn lt with | `After -> if is_cmp casn state && fenceless_get (as_atomic loc) != state then `Before else verify casn gt | `Before -> `Before) let finish casn (`Undetermined cass as undetermined) (status : determined) = if Atomic.compare_and_set casn (undetermined :> status) (status :> status) then release casn cass status else fenceless_get casn == `After let a_cas = 1 and a_cmp = 2 let a_cas_and_a_cmp = a_cas lor a_cmp let rec determine casn status = function | NIL -> status | CASN ({ loc; state; lt; gt; _ } as record) as eq -> let status = if lt != NIL then determine casn status lt else status in if status < 0 then status else let current = Atomic.get (as_atomic loc) in if state == current then determine casn (status lor (1 + Bool.to_int (is_cmp casn state))) gt else let matches_expected () = let expected = state.before in expected == current.after && (current.casn == casn_after || is_after current.casn) || expected == current.before && (current.casn == casn_before || not (is_after current.casn)) in if (not (is_cmp casn state)) && matches_expected () then match fenceless_get casn with | `Undetermined _ -> (* We now know that the operation wasn't finished when we read [current], but it is possible that the [loc]ation has been updated since then by some other domain helping us (or even by some later operation). If so, then the [compare_and_set] below fails. Copying the awaiters from [current] is safe in either case, because we know that we have the [current] state that our operation is interested in. By doing the copying here, we at most duplicate work already done by some other domain. However, it is necessary to do the copy before the [compare_and_set], because afterwards is too late as some other domain might finish the operation after the [compare_and_set] and miss the awaiters. *) (match current.awaiters with | [] -> () | awaiters -> record.awaiters <- awaiters); if Atomic.compare_and_set (as_atomic loc) current state then determine casn (status lor a_cas) gt else determine casn status eq | #determined -> raise Exit else -1 and is_after casn = match fenceless_get casn with | `Undetermined cass as undetermined -> ( match determine casn 0 cass with | status -> finish casn undetermined (if a_cas_and_a_cmp = status then verify casn cass else if 0 <= status then `After else `Before) | exception Exit -> fenceless_get casn == `After) | `After -> true | `Before -> false let determine_for_owner casn cass = let undetermined = `Undetermined cass in (* The end result is a cyclic data structure, which is why we cannot initialize the [casn] atomic directly. *) fenceless_set casn undetermined; match determine casn 0 cass with | status -> if a_cas_and_a_cmp = status then (* We only want to [raise Interference] in case it is the verify step that fails. The idea is that in [lock_free] mode the attempt might have succeeded as the compared locations would have been set in [lock_free] mode preventing interference. If failure happens before the verify step then the [lock_free] mode would have likely also failed. *) finish casn undetermined (verify casn cass) || raise Mode.Interference else a_cmp = status || finish casn undetermined (if 0 <= status then `After else `Before) | exception Exit -> fenceless_get casn == `After [@@inline] let impossible () = failwith "impossible" [@@inline never] let overlap () = failwith "kcas: location overlap" [@@inline never] let invalid_retry () = failwith "kcas: invalid use of retry" [@@inline never] type splay = Miss : splay | Hit : 'a loc * 'a state -> splay let make_casn loc state lt gt = CASN { loc; state; lt; gt; awaiters = [] } [@@inline] let rec splay ~hit_parent x = function | NIL -> (NIL, Miss, NIL) | CASN { loc = a; state = s; lt = l; gt = r; _ } as t -> if x < a.id && ((not hit_parent) || l != NIL) then match l with | NIL -> (NIL, Miss, t) | CASN { loc = pa; state = ps; lt = ll; gt = lr; _ } -> if x < pa.id && ((not hit_parent) || ll != NIL) then let lll, n, llr = splay ~hit_parent x ll in (lll, n, make_casn pa ps llr (make_casn a s lr r)) else if pa.id < x && ((not hit_parent) || lr != NIL) then let lrl, n, lrr = splay ~hit_parent x lr in (make_casn pa ps ll lrl, n, make_casn a s lrr r) else (ll, Hit (pa, ps), make_casn a s lr r) else if a.id < x && ((not hit_parent) || r != NIL) then match r with | NIL -> (t, Miss, NIL) | CASN { loc = pa; state = ps; lt = rl; gt = rr; _ } -> if x < pa.id && ((not hit_parent) || rl != NIL) then let rll, n, rlr = splay ~hit_parent x rl in (make_casn a s l rll, n, make_casn pa ps rlr rr) else if pa.id < x && ((not hit_parent) || rr != NIL) then let rrl, n, rrr = splay ~hit_parent x rr in (make_casn pa ps (make_casn a s l rl) rrl, n, rrr) else (make_casn a s l rl, Hit (pa, ps), rr) else (l, Hit (a, s), r) let new_state after = { before = after; after; casn = casn_after; awaiters = [] } [@@inline] let eval state = let before = state.before and after = state.after in if before == after || is_after state.casn then after else before [@@inline] module Retry = struct exception Later let later () = raise Later [@@inline never] let unless condition = if not condition then later () [@@inline] exception Invalid let invalid () = raise Invalid [@@inline never] end let add_awaiter loc before awaiter = let state_old = fenceless_get (as_atomic loc) in let state_new = let awaiters = awaiter :: state_old.awaiters in { before; after = before; casn = casn_after; awaiters } in before == eval state_old && Atomic.compare_and_set (as_atomic loc) state_old state_new let[@tail_mod_cons] rec remove_first x' removed = function | [] -> removed := false; [] | x :: xs -> if x == x' then xs else x :: remove_first x' removed xs let rec remove_awaiter loc before awaiter = let state_old = fenceless_get (as_atomic loc) in if before == eval state_old then let removed = ref true in let awaiters = remove_first awaiter removed state_old.awaiters in if !removed then let state_new = { before; after = before; casn = casn_after; awaiters } in if not (Atomic.compare_and_set (as_atomic loc) state_old state_new) then remove_awaiter loc before awaiter let block loc before = let t = Domain_local_await.prepare_for_await () in if add_awaiter loc before t.release then ( try t.await () with cancellation_exn -> remove_awaiter loc before t.release; raise cancellation_exn) let rec update_no_alloc backoff loc state f = let state' = fenceless_get (as_atomic loc) in let before = eval state' in match f before with | after -> state.after <- after; if before == after then before else if Atomic.compare_and_set (as_atomic loc) state' state then ( state.before <- after; resume_awaiters before state'.awaiters) else update_no_alloc (Backoff.once backoff) loc state f | exception Retry.Later -> block loc before; update_no_alloc backoff loc state f let rec exchange_no_alloc backoff loc state = let state' = fenceless_get (as_atomic loc) in let before = eval state' in if before == state.after then before else if Atomic.compare_and_set (as_atomic loc) state' state then resume_awaiters before state'.awaiters else exchange_no_alloc (Backoff.once backoff) loc state let is_obstruction_free casn loc = fenceless_get casn == (Mode.obstruction_free :> status) && 0 <= loc.id [@@inline] let cas loc before state = let state' = fenceless_get (as_atomic loc) in let before' = state'.before and after' = state'.after in ((before == before' && before == after') || before == if is_after state'.casn then after' else before') && (before == state.after || Atomic.compare_and_set (as_atomic loc) state' state && resume_awaiters true state'.awaiters) [@@inline] let inc x = x + 1 let dec x = x - 1 module Loc = struct type 'a t = 'a loc let make ?(mode = Mode.obstruction_free) after = let state = new_state after and id = if mode == Mode.obstruction_free then Id.nat_id () else Id.neg_id () in make_loc state id let make_array ?(mode = Mode.obstruction_free) n after = assert (0 <= n); let state = new_state after and id = (if mode == Mode.obstruction_free then Id.nat_ids n else Id.neg_ids n) - (n - 1) in Array.init n @@ fun i -> make_loc state (id + i) let get_id loc = loc.id [@@inline] let get loc = eval (Atomic.get (as_atomic loc)) let rec get_as f loc = let before = get loc in match f before with | value -> value | exception Retry.Later -> block loc before; get_as f loc let get_mode loc = if loc.id < 0 then Mode.lock_free else Mode.obstruction_free [@@inline] let compare_and_set loc before after = let state = new_state after in cas loc before state let update ?(backoff = Backoff.default) loc f = let state' = fenceless_get (as_atomic loc) in let before = eval state' in match f before with | after -> if before == after then before else let state = new_state after in if Atomic.compare_and_set (as_atomic loc) state' state then resume_awaiters before state'.awaiters else update_no_alloc (Backoff.once backoff) loc state f | exception Retry.Later -> let state = new_state before in block loc before; update_no_alloc backoff loc state f let modify ?backoff loc f = update ?backoff loc f |> ignore [@@inline] let exchange ?(backoff = Backoff.default) loc value = exchange_no_alloc backoff loc (new_state value) let set ?backoff loc value = exchange ?backoff loc value |> ignore let fetch_and_add ?backoff loc n = update ?backoff loc (( + ) n) let incr ?backoff loc = update ?backoff loc inc |> ignore let decr ?backoff loc = update ?backoff loc dec |> ignore let has_awaiters loc = let state = Atomic.get (as_atomic loc) in state.awaiters != [] let fenceless_get loc = eval (fenceless_get (as_atomic loc)) end let insert cass loc state = let x = loc.id in match cass with | CASN { loc = a; lt = NIL; _ } when x < a.id -> CASN { loc; state; lt = NIL; gt = cass; awaiters = [] } | CASN { loc = a; gt = NIL; _ } when a.id < x -> CASN { loc; state; lt = cass; gt = NIL; awaiters = [] } | _ -> ( match splay ~hit_parent:false x cass with | _, Hit _, _ -> overlap () | lt, Miss, gt -> CASN { loc; state; lt; gt; awaiters = [] }) [@@inline] module Op = struct type t = CAS : 'a Loc.t * 'a * 'a -> t let make_cas loc before after = CAS (loc, before, after) [@@inline] let make_cmp loc expected = CAS (loc, expected, expected) [@@inline] let is_on_loc op loc = match op with CAS (loc', _, _) -> Obj.magic loc' == loc [@@inline] let get_id = function CAS (loc, _, _) -> loc.id [@@inline] let atomic = function | CAS (loc, before, after) -> if before == after then Loc.get loc == before else Loc.compare_and_set loc before after let atomically ?(mode = Mode.lock_free) = function | [] -> true | [ op ] -> atomic op | first :: rest -> let casn = Atomic.make (mode :> status) in let rec run cass = function | [] -> determine_for_owner casn cass | CAS (loc, before, after) :: rest -> if before == after && is_obstruction_free casn loc then let state = fenceless_get (as_atomic loc) in before == eval state && run (insert cass loc state) rest else run (insert cass loc { before; after; casn; awaiters = [] }) rest in let (CAS (loc, before, after)) = first in if before == after && is_obstruction_free casn loc then let state = fenceless_get (as_atomic loc) in before == eval state && run (CASN { loc; state; lt = NIL; gt = NIL; awaiters = [] }) rest else let state = { before; after; casn; awaiters = [] } in run (CASN { loc; state; lt = NIL; gt = NIL; awaiters = [] }) rest end module Xt = struct type 'x t = { mutable casn : casn; mutable cass : cass; mutable validate_countdown : int; mutable validate_period : int; mutable post_commit : Action.t; } let validate_one casn loc state = let before = if is_cmp casn state then eval state else state.before in if before != eval (fenceless_get (as_atomic loc)) then Retry.invalid () [@@inline] let rec validate_all casn = function | NIL -> () | CASN { loc; state; lt; gt; _ } -> if lt != NIL then validate_all casn lt; validate_one casn loc state; validate_all casn gt let validate_log xt = let p = xt.validate_period * 2 in xt.validate_countdown <- p; xt.validate_period <- p; validate_all xt.casn xt.cass [@@inline never] let maybe_validate_log xt = let c = xt.validate_countdown - 1 in if 0 < c then xt.validate_countdown <- c else validate_log xt [@@inline] let update0 loc f xt lt gt = let state = fenceless_get (as_atomic loc) in let before = eval state in match f before with | after -> let state = if before == after && is_obstruction_free xt.casn loc then state else { before; after; casn = xt.casn; awaiters = [] } in xt.cass <- CASN { loc; state; lt; gt; awaiters = [] }; before | exception exn -> xt.cass <- CASN { loc; state; lt; gt; awaiters = [] }; raise exn [@@inline] let update loc f xt state' lt gt = let state = Obj.magic state' in if is_cmp xt.casn state then ( let before = eval state in let after = f before in let state = if before == after then state else { before; after; casn = xt.casn; awaiters = [] } in xt.cass <- CASN { loc; state; lt; gt; awaiters = [] }; before) else let current = state.after in let state = { state with after = f current } in xt.cass <- CASN { loc; state; lt; gt; awaiters = [] }; current [@@inline] let unsafe_update ~xt loc f = maybe_validate_log xt; let x = loc.id in match xt.cass with | NIL -> update0 loc f xt NIL NIL | CASN { loc = a; lt = NIL; _ } as cass when x < a.id -> update0 loc f xt NIL cass | CASN { loc = a; gt = NIL; _ } as cass when a.id < x -> update0 loc f xt cass NIL | CASN { loc = a; state; lt; gt; _ } when Obj.magic a == loc -> update loc f xt state lt gt | cass -> ( match splay ~hit_parent:false x cass with | l, Miss, r -> update0 loc f xt l r | l, Hit (_loc', state'), r -> update loc f xt state' l r) [@@inline] let protect xt f x = let cass = xt.cass in let y = f x in assert (xt.cass == cass); y [@@inline] let get ~xt loc = unsafe_update ~xt loc Fun.id let set ~xt loc after = unsafe_update ~xt loc (fun _ -> after) |> ignore let modify ~xt loc f = unsafe_update ~xt loc (protect xt f) |> ignore let compare_and_swap ~xt loc before after = unsafe_update ~xt loc (fun actual -> if actual == before then after else actual) let exchange ~xt loc after = unsafe_update ~xt loc (fun _ -> after) let fetch_and_add ~xt loc n = unsafe_update ~xt loc (( + ) n) let incr ~xt loc = unsafe_update ~xt loc inc |> ignore let decr ~xt loc = unsafe_update ~xt loc dec |> ignore let update ~xt loc f = unsafe_update ~xt loc (protect xt f) let swap ~xt l1 l2 = set ~xt l1 @@ exchange ~xt l2 @@ get ~xt l1 let unsafe_modify ~xt loc f = unsafe_update ~xt loc f |> ignore let unsafe_update ~xt loc f = unsafe_update ~xt loc f let to_blocking ~xt tx = match tx ~xt with None -> Retry.later () | Some value -> value [@@inline] let to_nonblocking ~xt tx = match tx ~xt with value -> Some value | exception Retry.Later -> None [@@inline] let post_commit ~xt action = xt.post_commit <- Action.append action xt.post_commit let validate ~xt loc = let x = loc.id in match xt.cass with | NIL -> () | CASN { loc = a; lt = NIL; _ } when x < a.id -> () | CASN { loc = a; gt = NIL; _ } when a.id < x -> () | CASN { loc = a; state; _ } when Obj.magic a == loc -> validate_one xt.casn a state | cass -> ( match splay ~hit_parent:true x cass with | lt, Hit (a, state), gt -> xt.cass <- CASN { loc = a; state; lt; gt; awaiters = [] }; if Obj.magic a == loc then validate_one xt.casn a state | _, Miss, _ -> impossible ()) let is_in_log ~xt loc = let x = loc.id in match xt.cass with | NIL -> false | CASN { loc = a; lt = NIL; _ } when x < a.id -> false | CASN { loc = a; gt = NIL; _ } when a.id < x -> false | CASN { loc = a; _ } when Obj.magic a == loc -> true | cass -> ( match splay ~hit_parent:true x cass with | lt, Hit (a, state), gt -> xt.cass <- CASN { loc = a; state; lt; gt; awaiters = [] }; Obj.magic a == loc | _, Miss, _ -> impossible ()) let rec rollback casn cass_snap cass = if cass_snap == cass then cass else match cass with | NIL -> NIL | CASN { loc; state; lt; gt; _ } -> ( match splay ~hit_parent:false loc.id cass_snap with | lt_mark, Miss, gt_mark -> let lt = rollback casn lt_mark lt and gt = rollback casn gt_mark gt in let state = if is_cmp casn state then state else let current = fenceless_get (as_atomic loc) in if state.before != eval current then Retry.invalid () else current in CASN { loc; state; lt; gt; awaiters = [] } | lt_mark, Hit (loc, state), gt_mark -> let lt = rollback casn lt_mark lt and gt = rollback casn gt_mark gt in CASN { loc; state; lt; gt; awaiters = [] }) type 'x snap = cass let snapshot ~xt = xt.cass let rollback ~xt snap = xt.cass <- rollback xt.casn snap xt.cass let rec first ~xt tx = function | [] -> tx ~xt | tx' :: txs -> ( match tx ~xt with | value -> value | exception Retry.Later -> first ~xt tx' txs) let first ~xt = function | [] -> Retry.later () | tx :: txs -> first ~xt tx txs type 'a tx = { tx : 'x. xt:'x t -> 'a } [@@unboxed] let call { tx } = tx [@@inline] let rec add_awaiters awaiter casn = function | NIL as cont -> cont | CASN { loc; state; lt; gt; _ } as stop -> ( match if lt == NIL then lt else add_awaiters awaiter casn lt with | NIL -> if add_awaiter loc (if is_cmp casn state then eval state else state.before) awaiter then add_awaiters awaiter casn gt else stop | CASN _ as stop -> stop) let rec remove_awaiters awaiter casn stop = function | NIL -> () | CASN { loc; state; lt; gt; _ } as current -> if lt != NIL then remove_awaiters awaiter casn stop lt; if current != stop then ( remove_awaiter loc (if is_cmp casn state then eval state else state.before) awaiter; remove_awaiters awaiter casn stop gt) let initial_validate_period = 16 let reset_quick xt = xt.cass <- NIL; xt.validate_countdown <- initial_validate_period; xt.validate_period <- initial_validate_period; xt.post_commit <- Action.noop; xt [@@inline] let reset mode xt = xt.casn <- Atomic.make (mode :> status); reset_quick xt let rec commit backoff mode xt tx = match tx ~xt with | result -> ( match xt.cass with | NIL -> Action.run xt.post_commit result | CASN { loc; state; lt = NIL; gt = NIL; _ } -> if is_cmp xt.casn state then Action.run xt.post_commit result else let before = state.before in state.before <- state.after; state.casn <- casn_after; if cas loc before state then Action.run xt.post_commit result else commit (Backoff.once backoff) mode (reset_quick xt) tx | cass -> ( match determine_for_owner xt.casn cass with | true -> Action.run xt.post_commit result | false -> commit (Backoff.once backoff) mode (reset mode xt) tx | exception Mode.Interference -> commit (Backoff.once backoff) Mode.lock_free (reset Mode.lock_free xt) tx)) | exception Retry.Invalid -> commit (Backoff.once backoff) mode (reset_quick xt) tx | exception Retry.Later -> ( if xt.cass == NIL then invalid_retry (); let t = Domain_local_await.prepare_for_await () in match add_awaiters t.release xt.casn xt.cass with | NIL -> ( match t.await () with | () -> remove_awaiters t.release xt.casn NIL xt.cass; commit (Backoff.reset backoff) mode (reset_quick xt) tx | exception cancellation_exn -> remove_awaiters t.release xt.casn NIL xt.cass; raise cancellation_exn) | CASN _ as stop -> remove_awaiters t.release xt.casn stop xt.cass; commit (Backoff.once backoff) mode (reset_quick xt) tx) let commit ?(backoff = Backoff.default) ?(mode = Mode.obstruction_free) tx = let casn = Atomic.make (mode :> status) and cass = NIL and validate_countdown = initial_validate_period and validate_period = initial_validate_period and post_commit = Action.noop in let xt = { casn; cass; validate_countdown; post_commit; validate_period } in commit backoff mode xt tx.tx [@@inline] end