Source file lambda_lifting_simple.ml
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open! Stdlib
open Code
let debug = Debug.find "lifting_simple"
let baseline = 0
let rec compute_depth program pc =
Code.preorder_traverse
{ fold = Code.fold_children }
(fun pc d ->
let block = Code.Addr.Map.find pc program.blocks in
List.fold_left block.body ~init:d ~f:(fun d i ->
match i with
| Let (_, Closure (_, (pc', _), _)) ->
let d' = compute_depth program pc' in
max d (d' + 1)
| _ -> d))
pc
program.blocks
0
let collect_free_vars program var_depth depth pc =
let vars = ref Var.Set.empty in
let rec traverse pc =
Code.preorder_traverse
{ fold = Code.fold_children }
(fun pc () ->
let block = Code.Addr.Map.find pc program.blocks in
Freevars.iter_block_free_vars
(fun x ->
let idx = Var.idx x in
if idx < Array.length var_depth
then (
let d = var_depth.(idx) in
assert (d >= 0);
if d > baseline && d < depth then vars := Var.Set.add x !vars))
block;
List.iter block.body ~f:(fun i ->
match i with
| Let (_, Closure (_, (pc', _), _)) -> traverse pc'
| _ -> ()))
pc
program.blocks
()
in
traverse pc;
!vars
let mark_bound_variables var_depth block depth =
Freevars.iter_block_bound_vars (fun x -> var_depth.(Var.idx x) <- depth) block;
List.iter block.body ~f:(fun i ->
match i with
| Let (_, Closure (params, _, _)) ->
List.iter params ~f:(fun x -> var_depth.(Var.idx x) <- depth + 1)
| _ -> ())
let starts_with_closure = function
| Let (_, Closure _) :: _ -> true
| _ :: _ | [] -> false
let rec rewrite_blocks
~to_lift
~inside_lifted
~var_depth
~st:(program, (functions : instr list), lifters)
~pc
~depth : _ * _ * Var.t Var.Map.t =
assert (depth > 0);
Code.preorder_traverse
{ fold = Code.fold_children }
(fun pc (program, functions, lifters) ->
let block = Code.Addr.Map.find pc program.blocks in
mark_bound_variables var_depth block depth;
let body, (program, functions, lifters) =
rewrite_body
~to_lift
~inside_lifted
~var_depth
~current_contiguous:[]
~st:(program, functions, lifters)
~depth
~acc_instr:[]
block.body
in
( { program with blocks = Addr.Map.add pc { block with body } program.blocks }
, functions
, lifters ))
pc
program.blocks
(program, functions, lifters)
and rewrite_body
~to_lift
~inside_lifted
~depth
~var_depth
~current_contiguous
~acc_instr
~(st : Code.program * instr list * Var.t Var.Map.t)
body =
match body with
| Let (f, (Closure (_, (pc', _), _) as cl)) :: rem
when List.is_empty current_contiguous
&& (inside_lifted || Var.Set.mem f to_lift)
&& not (starts_with_closure rem) ->
if debug () then Format.eprintf "@[<v>lifting isolated closure %a@,@]" Var.print f;
let program, functions, lifters =
rewrite_blocks
~to_lift
~inside_lifted:(Var.Set.mem f to_lift)
~var_depth
~st
~pc:pc'
~depth:(depth + 1)
in
let free_vars = collect_free_vars program var_depth (depth + 1) pc' in
if debug ()
then (
Format.eprintf "@[<v>free variables:@,";
free_vars |> Var.Set.iter (fun v -> Format.eprintf "%a,@ " Var.print v);
Format.eprintf "@]");
let s =
Var.Set.fold (fun x m -> Var.Map.add x (Var.fork x) m) free_vars Var.Map.empty
in
let program = Subst.Excluding_Binders.cont (Subst.from_map s) pc' program in
let f' = try Var.Map.find f s with Not_found -> Var.fork f in
let s = Var.Map.bindings (Var.Map.remove f s) in
let f'' = Var.fork f in
if debug ()
then
Format.eprintf
"LIFT %a (depth:%d free_vars:%d inner_depth:%d)@."
Code.Var.print
f''
depth
(Var.Set.cardinal free_vars)
(compute_depth program pc');
let pc'' = program.free_pc in
let bl = { params = []; body = [ Let (f', cl) ]; branch = Return f' } in
let program =
{ program with free_pc = pc'' + 1; blocks = Addr.Map.add pc'' bl program.blocks }
in
let functions =
Let (f'', Closure (List.map s ~f:snd, (pc'', []), None)) :: functions
in
let lifters = Var.Map.add f f' lifters in
rewrite_body
~to_lift
~inside_lifted
~current_contiguous:[]
~st:(program, functions, lifters)
~var_depth
~acc_instr:
(Let (f, Apply { f = f''; args = List.map ~f:fst s; exact = true }) :: acc_instr)
~depth
rem
| Let (cname, Closure (params, (pc', args), cloc)) :: rem ->
let st =
rewrite_blocks
~to_lift
~inside_lifted:(Var.Set.mem cname to_lift)
~var_depth
~st
~pc:pc'
~depth:(depth + 1)
in
rewrite_body
~to_lift
~inside_lifted
~var_depth
~current_contiguous:((cname, params, pc', args, cloc) :: current_contiguous)
~st
~acc_instr
~depth
rem
| _ :: _ | [] -> (
assert (
match current_contiguous with
| [ (f, _, _, _, _) ] -> not (Var.Set.mem f to_lift)
| _ -> true);
let st, acc_instr =
match current_contiguous with
| [] -> st, acc_instr
| _ :: _
when inside_lifted
|| List.exists
~f:(fun (f, _, _, _, _) -> Var.Set.mem f to_lift)
current_contiguous ->
let program, functions, lifters = st in
let free_vars =
List.fold_left
current_contiguous
~f:(fun acc (_, _, pc, _, _) ->
Var.Set.union acc @@ collect_free_vars program var_depth (depth + 1) pc)
~init:Var.Set.empty
in
let s =
Var.Set.fold
(fun x m -> Var.Map.add x (Var.fork x) m)
free_vars
Var.Map.empty
in
let program =
List.fold_left
current_contiguous
~f:(fun program (_, _, pc, _, _) ->
Subst.Excluding_Binders.cont (Subst.from_map s) pc program)
~init:program
in
let f's =
List.map current_contiguous ~f:(fun (f, _, _, _, _) ->
Var.(try Map.find f s with Not_found -> fork f))
in
let s =
List.fold_left
current_contiguous
~f:(fun s (f, _, _, _, _) -> Var.Map.remove f s)
~init:s
|> Var.Map.bindings
in
let f_tuple = Var.fresh_n "recfuncs" in
(if debug ()
then
Format.(
eprintf
"LIFT %a in tuple %a (depth:%d free_vars:%d)@,"
(pp_print_list ~pp_sep:pp_print_space Code.Var.print)
f's
Code.Var.print
f_tuple
depth
(Var.Set.cardinal free_vars)));
let pc_tuple = program.free_pc in
let lifted_block =
let tuple = Var.fresh_n "tuple" in
{ params = []
; body =
List.rev_map2
f's
current_contiguous
~f:(fun f' (_, params, pc, args, cloc) ->
Let (f', Closure (params, (pc, args), cloc)))
@ [ Let (tuple, Block (0, Array.of_list f's, NotArray, Immutable)) ]
; branch = Return tuple
}
in
let program =
{ program with
free_pc = pc_tuple + 1
; blocks = Addr.Map.add pc_tuple lifted_block program.blocks
}
in
let functions =
Let (f_tuple, Closure (List.map s ~f:snd, (pc_tuple, []), None))
:: functions
in
let lifters =
Var.Map.add_seq
(List.to_seq
@@ List.combine
(List.map current_contiguous ~f:(fun (f, _, _, _, _) -> f))
f's)
lifters
in
let tuple = Var.fresh_n "tuple" in
let rev_decl =
List.mapi current_contiguous ~f:(fun i (f, _, _, _, _) ->
Let (f, Field (tuple, i, Non_float)))
in
( (program, functions, lifters)
, rev_decl
@ Let (tuple, Apply { f = f_tuple; args = List.map ~f:fst s; exact = true })
:: acc_instr )
| _ :: _ ->
let rev_decls =
List.map current_contiguous ~f:(fun (f, params, pc, args, cloc) ->
Let (f, Closure (params, (pc, args), cloc)))
in
st, rev_decls @ acc_instr
in
match body with
| [] -> List.rev acc_instr, st
| i :: rem ->
rewrite_body
~to_lift
~inside_lifted
~var_depth
~depth
~current_contiguous:[]
~st
~acc_instr:(i :: acc_instr)
rem)
let lift ~to_lift ~pc program : program * Var.t Var.Map.t =
let nv = Var.count () in
let var_depth = Array.make nv (-1) in
Code.preorder_traverse
{ fold = Code.fold_children }
(fun pc (program, lifter_map) ->
let block = Code.Addr.Map.find pc program.blocks in
mark_bound_variables var_depth block 0;
let program, body, lifter_map' =
List.fold_right
block.body
~init:(program, [], Var.Map.empty)
~f:(fun i (program, rem, lifters) ->
match i with
| Let (f, Closure (_, (pc', _), _)) as i ->
let program, functions, lifters =
rewrite_blocks
~to_lift
~inside_lifted:(Var.Set.mem f to_lift)
~var_depth
~st:(program, [], lifters)
~pc:pc'
~depth:1
in
program, List.rev_append functions (i :: rem), lifters
| i -> program, i :: rem, lifters)
in
( { program with blocks = Addr.Map.add pc { block with body } program.blocks }
, Var.Map.union (fun _ _ -> assert false) lifter_map lifter_map' ))
pc
program.blocks
(program, Var.Map.empty)
let f ~to_lift program =
if debug ()
then (
Format.eprintf "@[<v>Program before lambda lifting:@,";
Code.Print.program Format.err_formatter (fun _ _ -> "") program;
Format.eprintf "@]");
let t = Timer.make () in
let program, liftings = lift ~to_lift ~pc:program.start program in
if Debug.find "times" () then Format.eprintf " lambda lifting: %a@." Timer.print t;
program, liftings