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(*
Copyright (c) 2015, KC Sivaramakrishnan <sk826@cl.cam.ac.uk>
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.
*)
open Effect
(** Message-passing parallel prime number generation using Sieve of Eratosthenes **)
open Effect.Deep
(* A message is either a [Stop] signal or a [Candidate] prime number *)
type message =
| Stop
| Candidate of int
let string_of_msg = function
| Stop -> "Stop"
| Candidate i -> Printf.sprintf "%d" i
type pid = int
(** Process primitives **)
type _ Effect.t += Spawn : (pid -> unit) -> pid Effect.t
let spawn p = perform (Spawn p)
type _ Effect.t += Yield : unit Effect.t
let yield () = perform Yield
(** Communication primitives **)
type _ Effect.t += Send : pid * message -> unit Effect.t
let send pid data =
perform (Send (pid, data));
yield ()
type _ Effect.t += Recv : pid -> message option Effect.t
let rec recv pid =
match perform (Recv pid) with
| Some m -> m
| None ->
yield ();
recv pid
(** A mailbox is indexed by process ids (PIDs), each process has its own message queue **)
module Mailbox = struct
module Make (Ord : Map.OrderedType) = struct
include Map.Make (Ord)
let empty = empty
let lookup key mb = try Some (find key mb) with Not_found -> None
let pop key mb =
( (match lookup key mb with
| Some msg_q -> if Queue.is_empty msg_q then None else Some (Queue.pop msg_q)
| None -> None)
, mb )
let push key msg mb =
match lookup key mb with
| Some msg_q ->
Queue.push msg msg_q;
mb
| None ->
let msg_q = Queue.create () in
Queue.push msg msg_q;
add key msg_q mb
end
end
(** Communication handler **)
let mailbox f =
let module Mailbox = Mailbox.Make (struct
type t = pid
let compare = compare
end) in
let mailbox = ref Mailbox.empty in
let lookup pid =
let msg, mb = Mailbox.pop pid !mailbox in
mailbox := mb;
msg
in
try_with
f
()
{ effc =
(fun (type a) (e : a Effect.t) ->
match e with
| Send (pid, msg) ->
Some
(fun (k : (a, _) continuation) ->
mailbox := Mailbox.push pid msg !mailbox;
continue k ())
| Recv who ->
Some
(fun k ->
let msg = lookup who in
continue k msg)
| _ -> None)
}
(** Process handler
Slightly modified version of sched.ml **)
let run main () =
let run_q = Queue.create () in
let enqueue k = Queue.push k run_q in
let dequeue () = if Queue.is_empty run_q then () else (Queue.pop run_q) () in
let pid = ref (-1) in
let rec spawn f =
pid := 1 + !pid;
match_with
f
!pid
{ retc = (fun () -> dequeue ())
; exnc = (fun e -> raise e)
; effc =
(fun (type a) (e : a Effect.t) ->
match e with
| Yield ->
Some
(fun (k : (a, _) continuation) ->
enqueue (fun () -> continue k ());
dequeue ())
| Spawn p ->
Some
(fun k ->
enqueue (fun () -> continue k !pid);
spawn p)
| _ -> None)
}
in
spawn main
let fromSome = function
| Some x -> x
| _ -> failwith "Attempt to unwrap None"
(** The prime number generator **)
let rec generator n : pid -> unit =
fun _ ->
let first = spawn sieve in
(* Spawn first sieve *)
Printf.printf "Primes in [2..%d]: " n;
for i = 2 to n do
send first (Candidate i) (* Send candidate prime to first sieve *)
done;
send first Stop;
(* Stop the pipeline *)
Printf.printf "\n"
and sieve : pid -> unit =
fun mypid ->
match recv mypid with
| Candidate myprime ->
let _ = Printf.printf "%d " myprime in
let succ = ref None in
let rec loop () =
let msg = recv mypid in
match msg with
| Candidate prime when prime mod myprime <> 0 ->
let succ_pid =
if !succ = None
then (
let pid = spawn sieve in
(* Create a successor process *)
succ := Some pid;
pid)
else fromSome !succ
in
send succ_pid (Candidate prime);
(* Send candidate prime to successor process *)
loop ()
| Stop when !succ <> None -> send (fromSome !succ) Stop (* Forward stop command *)
| Stop -> ()
| _ -> loop ()
in
loop ()
| _ -> ()
(* Run application *)
let%expect_test _ =
let _ = mailbox (run (generator 202)) in
[%expect
{| Primes in [2..202]: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 |}]
|