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ws_deque.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(* * Copyright (c) 2015, Théo Laurent <theo.laurent@ens.fr> * Copyright (c) 2015, KC Sivaramakrishnan <sk826@cl.cam.ac.uk> * Copyright (c) 2017, Nicolas ASSOUAD <nicolas.assouad@ens.fr> * Copyright (c) 2021, Tom Kelly <ctk21@cl.cam.ac.uk> * Copyright (c) 2024, Vesa Karvonen <vesa.a.j.k@gmail.com> * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. *) (* Work Stealing Queue * * See: * Dynamic circular work-stealing deque * https://dl.acm.org/doi/10.1145/1073970.1073974 * & * Correct and efficient work-stealing for weak memory models * https://dl.acm.org/doi/abs/10.1145/2442516.2442524 *) module Atomic = Multicore_magic.Transparent_atomic (** This must be a power of two. *) let min_capacity = 16 type 'a t = { top : int Atomic.t; bottom : int Atomic.t; top_cache : int ref; mutable tab : 'a ref array; } let create () = let top = Atomic.make_contended 0 in let tab = Array.make min_capacity (Obj.magic ()) in let bottom = Atomic.make_contended 0 in let top_cache = ref 0 |> Multicore_magic.copy_as_padded in { top; bottom; top_cache; tab } |> Multicore_magic.copy_as_padded let next_pow2 n = let rec loop acc = if acc >= n then acc else loop (acc lsl 1) in loop 1 let of_list l = let len = List.length l in let capacity = max min_capacity (next_pow2 len) in let top = Atomic.make_contended 0 in let tab = Array.make capacity (Obj.magic ()) in List.iteri (fun i x -> Array.unsafe_set tab i (ref x)) l; let bottom = Atomic.make_contended len in let top_cache = ref 0 |> Multicore_magic.copy_as_padded in { top; bottom; top_cache; tab } |> Multicore_magic.copy_as_padded (* *) let realloc a t b sz new_sz = let new_a = Array.make new_sz (Obj.magic ()) in ArrayExtra.blit_circularly a (t land (sz - 1)) new_a (t land (new_sz - 1)) (b - t); new_a let push q v = let v = ref v in (* Read of [bottom] by the owner simply does not require a fence as the [bottom] is only mutated by the owner. *) let b = Atomic.fenceless_get q.bottom in let t_cache = !(q.top_cache) in let a = q.tab in let size = b - t_cache in let capacity = Array.length a in if size < capacity || let t = Atomic.get q.top in q.top_cache := t; t != t_cache then begin Array.unsafe_set a (b land (capacity - 1)) v; Atomic.incr q.bottom end else let a = realloc a t_cache b capacity (capacity lsl 1) in Array.unsafe_set a (b land (Array.length a - 1)) v; q.tab <- a; Atomic.incr q.bottom (* *) type ('a, _) poly = | Option : ('a, 'a option) poly | Value : ('a, 'a) poly | Unit : ('a, unit) poly exception Empty let pop_as : type a r. a t -> (a, r) poly -> r = fun q poly -> let b = Atomic.fetch_and_add q.bottom (-1) - 1 in (* Read of [top] at this point requires no fence as we simply need to ensure that the read happens after updating [bottom]. *) let t = Atomic.fenceless_get q.top in let size = b - t in if 0 < size then begin let a = q.tab in let capacity = Array.length a in let out = Array.unsafe_get a (b land (capacity - 1)) in let res = !out in out := Obj.magic (); if size + size + size <= capacity - min_capacity then q.tab <- realloc a t b capacity (capacity lsr 1); match poly with Option -> Some res | Value -> res | Unit -> () end else if b = t then begin (* Whether or not the [compare_and_set] below succeeds, [top_cache] can be updated, because in either case [top] has been incremented. *) q.top_cache := t + 1; let got = Atomic.compare_and_set q.top t (t + 1) in (* This write of [bottom] requires no fence. The deque is empty and remains so until the next [push]. *) Atomic.fenceless_set q.bottom (b + 1); if got then begin let a = q.tab in let out = Array.unsafe_get a (b land (Array.length a - 1)) in let res = !out in out := Obj.magic (); match poly with Option -> Some res | Value -> res | Unit -> () end else match poly with Option -> None | Value | Unit -> raise Empty end else begin (* This write of [bottom] requires no fence. The deque is empty and remains so until the next [push]. *) Atomic.fenceless_set q.bottom (b + 1); match poly with Option -> None | Value | Unit -> raise Empty end let pop_exn q = pop_as q Value let pop_opt q = pop_as q Option let drop_exn q = pop_as q Unit (* *) let rec steal_as : type a r. a t -> Backoff.t -> (a, r) poly -> r = fun q backoff poly -> (* Read of [top] does not require a fence at this point, but the read of [top] must happen before the read of [bottom]. The write of [top] later has no effect in case we happened to read an old value of [top]. *) let t = Atomic.fenceless_get q.top in let b = Atomic.get q.bottom in let size = b - t in if 0 < size then let a = q.tab in let out = Array.unsafe_get a (t land (Array.length a - 1)) in if Atomic.compare_and_set q.top t (t + 1) then begin let res = !out in out := Obj.magic (); match poly with Option -> Some res | Value -> res | Unit -> () end else steal_as q (Backoff.once backoff) poly else match poly with Option -> None | Value | Unit -> raise Empty let steal_exn q = steal_as q Backoff.default Value let steal_opt q = steal_as q Backoff.default Option let steal_drop_exn q = steal_as q Backoff.default Unit