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(**)
external fenceless_get : 'a Atomic.t -> 'a = "%field0"
external fenceless_set : 'a Atomic.t -> 'a -> unit = "%setfield0"
(**)
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 ]
(**)
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]
(**)
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 _ ->
(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
fenceless_set casn undetermined;
match determine casn 0 cass with
| status ->
if a_cas_and_a_cmp = status then
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