(** Module for handling distributed parallelism *)

let size =
  let result = 
    Mpi.comm_size Mpi.comm_world
  in
  assert (result >  0);
  result


let rank = 
  let result = 
    Mpi.comm_rank Mpi.comm_world
  in
  assert (result >= 0);
  result


let master = rank = 0


let barrier () =
  Mpi.barrier Mpi.comm_world


let broadcast x =
  let x = 
    if master then Some (Lazy.force x)
    else None
  in
  match Mpi.broadcast x 0 Mpi.comm_world with
  | Some x -> x
  | None -> assert false


let broadcast_int x =
  Mpi.broadcast_int x 0 Mpi.comm_world


let broadcast_int_array x =
  Mpi.broadcast_int_array x 0 Mpi.comm_world;
  x


let broadcast_float x =
  Mpi.broadcast_float x 0 Mpi.comm_world


let broadcast_float_array x =
  Mpi.broadcast_float_array x 0 Mpi.comm_world;
  x


let broadcast_vec x =
  let a = Lacaml.D.Vec.to_array x  in
  let a = broadcast_float_array a in
  Lacaml.D.Vec.of_array a



module Vec = struct

  type t = 
  {
    global_first : int ; (* Lower  index in the global array *)
    global_last  : int ; (* Higher index in the global array *)
    local_first  : int ; (* Lower  index in the local array *)
    local_last   : int ; (* Higher index in the local array *)
    data         : Lacaml.D.vec ; (* Lacaml vector containing the data *)
  }

  let dim vec =
    vec.global_last - vec.global_first + 1

  let local_first  vec = vec.local_first
  let local_last   vec = vec.local_last 
  let global_first vec = vec.global_first
  let global_last  vec = vec.global_last 
  let data         vec = vec.data

  let pp ppf v =
    Format.fprintf ppf "@[<2>";
    Format.fprintf ppf "@[ gf : %d@]@;" v.global_first;
    Format.fprintf ppf "@[ gl : %d@]@;" v.global_last;
    Format.fprintf ppf "@[ lf : %d@]@;" v.local_first;
    Format.fprintf ppf "@[ ll : %d@]@;" v.local_last;
    Format.fprintf ppf "@[ data : %a@]@;" (Lacaml.Io.pp_lfvec ()) v.data;
    Format.fprintf ppf "@]@."; 
    ()

  let create n = 
    let step = (n-1) / size + 1 in
    let local_first = step * rank + 1 in
    let local_last = min (local_first + step - 1) n  in
    {
      global_first = 1 ;
      global_last  = n ;
      local_first  ;
      local_last   ;
      data         = Lacaml.D.Vec.create (max 0 (local_last - local_first + 1))
    }


  let make n x = 
    let result = create n in
    { result with data =
      Lacaml.D.Vec.make
        (Lacaml.D.Vec.dim result.data)
        x
    }


  let make0 n = 
    make n 0.


  let init n f =
    let result = create n in
    { result with data =
        Lacaml.D.Vec.init
          (Lacaml.D.Vec.dim result.data)
          (fun i -> f (i+result.local_first-1))
    }


  let of_array a =
    let length_a = Array.length a in
    let a = 
      let n = length_a mod size in
      if n > 0 then
        Array.concat [ a ; Array.make (size-n) 0. ]
      else
        a
    in
    let result = create length_a in
    let a_local = Array.make ((Array.length a)/size) 0. in
    let () = Mpi.scatter_float_array a a_local 0 Mpi.comm_world in
    { result with data = Lacaml.D.Vec.of_array a_local }


  let to_array vec = 
    let final_size = dim vec in
    let buffer_size = (Lacaml.D.Vec.dim vec.data) * size in
    let buffer = Array.make buffer_size 0. in
    let data = Lacaml.D.Vec.to_array vec.data in
    let () = Mpi.gather_float_array data buffer 0 Mpi.comm_world in
    if final_size = buffer_size then
      buffer
    else
      Array.init final_size (fun i -> buffer.(i))

      
  let of_vec a =
    Lacaml.D.Vec.to_array a
    |> of_array


  let to_vec v =
    to_array v
    |> Lacaml.D.Vec.of_array
    

end



let dot v1 v2 =
  if Vec.dim v1 <> Vec.dim v2 then
    invalid_arg "Incompatible dimensions";
  let local_dot =
    Lacaml.D.dot (Vec.data v1) (Vec.data v2)
  in
  Mpi.reduce_float local_dot Mpi.Float_sum 0 Mpi.comm_world