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authorAlex AUVOLAT <alex.auvolat@ens.fr>2013-11-05 18:29:27 +0100
committerAlex AUVOLAT <alex.auvolat@ens.fr>2013-11-05 18:29:27 +0100
commit244a51086c20dbd937dd21f1eb9c4b74acc5a3c9 (patch)
treeef79030aff1f61801f10f7407325076adc6be10a
parent07b7563e0748b1aff6f4d28b0172095b2fdcdfcc (diff)
downloadSystDigit-Projet-244a51086c20dbd937dd21f1eb9c4b74acc5a3c9.tar.gz
SystDigit-Projet-244a51086c20dbd937dd21f1eb9c4b74acc5a3c9.zip
More simplifcation passes...
-rw-r--r--README9
-rw-r--r--sched/graph.ml27
-rw-r--r--sched/main.ml14
-rw-r--r--sched/scheduler.ml23
-rw-r--r--sched/simplify.ml80
-rw-r--r--tests/Makefile2
-rw-r--r--tests/clockHMS.mj37
7 files changed, 137 insertions, 55 deletions
diff --git a/README b/README
index 40734fa..43a4ebb 100644
--- a/README
+++ b/README
@@ -52,3 +52,12 @@ When represented in binary, we write the bits in the order :
/!\ BINARY NUMBERS ARE WRITTEN REVERSE !
+
+REFERENCES
+----------
+
+ - Computer organization and design : the hardware/software interface
+ 4th ed
+ Chapters 2 to 4
+
+
diff --git a/sched/graph.ml b/sched/graph.ml
index 54128ff..ad4fded 100644
--- a/sched/graph.ml
+++ b/sched/graph.ml
@@ -44,7 +44,7 @@ let has_cycle g =
ret
in
let ret = List.fold_left (fun x n -> x || (if n.n_mark = Visited then false else visit n)) false g.g_nodes
- in clear_marks g; ret;;
+ in clear_marks g; ret
let topological g =
clear_marks g;
@@ -57,5 +57,28 @@ let topological g =
end
in
let ret = List.fold_left (fun x n -> aux x n) [] g.g_nodes
- in clear_marks g; List.rev ret;;
+ in clear_marks g; List.rev ret
+let topological_from_roots g roots =
+ clear_marks g;
+ let rec aux acc n =
+ if n.n_mark = Visited
+ then acc
+ else begin
+ n.n_mark <- Visited;
+ n.n_label :: (List.fold_left (fun x n -> aux x n) acc n.n_linked_by)
+ end
+ in
+ let ret = List.fold_left
+ (fun x n -> aux x (node_for_label g n)) [] roots
+ in
+ let used = List.fold_left
+ (fun s n ->
+ if n.n_mark = Visited then
+ n.n_label::s
+ else
+ s)
+ []
+ g.g_nodes in
+ clear_marks g;
+ List.rev ret, used
diff --git a/sched/main.ml b/sched/main.ml
index a2a4d3b..1b4b9d8 100644
--- a/sched/main.ml
+++ b/sched/main.ml
@@ -8,10 +8,13 @@ let compile filename =
let p = Netlist.read_file filename in
let out_name = (Filename.chop_suffix filename ".net") ^ "_sch.net" in
let dumb_out_name = (Filename.chop_suffix filename ".net") ^ ".dumb" in
- let q = ref p in
+ let out_opt_name = (Filename.chop_suffix filename ".net") ^ "_sch_opt.net" in
+ let dumb_opt_out_name = (Filename.chop_suffix filename ".net") ^ "_opt.dumb" in
+ let q, q_opt = ref p, ref p in
begin try
- q := (Simplify.simplify (Scheduler.schedule p))
+ q := Scheduler.schedule p;
+ q_opt := Simplify.simplify p
with
| Scheduler.Combinational_cycle ->
Format.eprintf "The netlist has a combinatory cycle.@.";
@@ -25,6 +28,13 @@ let compile filename =
Netlist_printer.print_dumb_program dumb_out !q;
close_out dumb_out;
+ let out_opt = open_out out_opt_name in
+ Netlist_printer.print_program out_opt !q_opt;
+ close_out out_opt;
+ let dumb_opt_out = open_out dumb_opt_out_name in
+ Netlist_printer.print_dumb_program dumb_opt_out !q_opt;
+ close_out dumb_opt_out;
+
if !simulate then (
let simulator =
if !number_steps = -1 then
diff --git a/sched/scheduler.ml b/sched/scheduler.ml
index 130164b..34ce3aa 100644
--- a/sched/scheduler.ml
+++ b/sched/scheduler.ml
@@ -21,11 +21,15 @@ let read_exp eq =
| Eslice(_, _, a) -> add_arg a []
| Eselect(_, a) -> add_arg a []
in
- aux eq;;
+ aux eq
-let schedule p =
+let prog_eq_map p =
+ List.fold_left
+ (fun x (vn, eqn) -> Smap.add vn eqn x)
+ Smap.empty p.p_eqs
+
+let prog_graph p eq_map =
let graph = Graph.mk_graph() in
- let eq_map = List.fold_left (fun x (vn, eqn) -> Smap.add vn eqn x) Smap.empty p.p_eqs in
(* Add variables as graph nodes *)
List.iter (fun (k, _) -> Graph.add_node graph k) p.p_eqs;
(* Add dependencies as graph edges *)
@@ -36,17 +40,26 @@ let schedule p =
p.p_eqs;
(* Verify there are no cycles *)
if Graph.has_cycle graph then raise Combinational_cycle;
+ graph
+
+let schedule p =
+ let eq_map = prog_eq_map p in
+ let graph = prog_graph p eq_map in
+
(* Topological sort of graph nodes *)
let topo_vars = Graph.topological graph in
(* Construct new program with sorted expression list *)
{
p_eqs = List.fold_right
- (fun n x -> if Smap.mem n eq_map then (n, Smap.find n eq_map)::x else x) topo_vars [];
+ (fun n x ->
+ if Smap.mem n eq_map then
+ (n, Smap.find n eq_map)::x
+ else x)
+ topo_vars [];
p_inputs = p.p_inputs;
p_outputs = p.p_outputs;
p_vars = p.p_vars;
}
- ;;
diff --git a/sched/simplify.ml b/sched/simplify.ml
index 01f7c84..ae5ec65 100644
--- a/sched/simplify.ml
+++ b/sched/simplify.ml
@@ -8,14 +8,15 @@
- transform k = SELECT 0 var into k = var when var is also one bit
- look for variables with same equation, put the second to identity
- eliminate k' for each equation k' = k
- - eliminate dead equations
+ - topological sort
- These simplifications are run on a topologically sorted list of equations (see main.ml)
+ TODO : eliminate unused variables. problem : they are hard to identify
*)
open Netlist_ast
module Sset = Set.Make(String)
+module Smap = Map.Make(String)
(* Simplify cascade slicing/selecting *)
let cascade_slices p =
@@ -23,15 +24,14 @@ let cascade_slices p =
let eqs_new = List.map
(fun (n, eq) -> (n, match eq with
| Eslice(u, v, Avar(x)) ->
- let nu, nx =
+ let dec, nx =
if Hashtbl.mem slices x then begin
- let ku, kx = Hashtbl.find slices x in
- (ku + u, kx)
+ Hashtbl.find slices x
end else
- (u, x)
+ (0, x)
in
- Hashtbl.add slices n (nu, nx);
- Eslice(nu, v, Avar(nx))
+ Hashtbl.add slices n (u + dec, nx);
+ Eslice(u + dec, v + dec, Avar(nx))
| Eselect(u, Avar(x)) ->
begin try
let ku, kx = Hashtbl.find slices x in
@@ -46,7 +46,7 @@ let cascade_slices p =
p_inputs = p.p_inputs;
p_outputs = p.p_outputs;
p_vars = p.p_vars;
- }
+ }, false
(* Simplifies some trivial arithmetic possibilites :
a and 1 = a
@@ -55,6 +55,9 @@ let cascade_slices p =
a or 0 = a
a xor 0 = a
slice i i x = select i x
+ concat const const = const.const
+ slice i j const = const.[i..j]
+ select i const = const.[i]
*)
let arith_simplify p =
{
@@ -75,13 +78,30 @@ let arith_simplify p =
| Eslice(i, j, k) when i = j ->
(n, Eselect(i, k))
+
+ | Econcat(Aconst(a), Aconst(b)) ->
+ let aa = match a with
+ | VBit(a) -> [| a |]
+ | VBitArray(a) -> a
+ in
+ let ba = match b with
+ | VBit(a) -> [| a |]
+ | VBitArray(a) -> a
+ in
+ (n, Earg(Aconst(VBitArray(Array.append aa ba))))
+
+ | Eslice(i, j, Aconst(VBitArray(a))) ->
+ (n, Earg(Aconst(VBitArray(Array.sub a i (j - i + 1)))))
+
+ | Eselect(i, Aconst(VBitArray(a))) ->
+ (n, Earg(Aconst(VBit(a.(i)))))
| _ -> (n, eq))
p.p_eqs;
p_inputs = p.p_inputs;
p_outputs = p.p_outputs;
p_vars = p.p_vars;
- }
+ }, false
(* if x is one bit, then :
select 0 x = x
@@ -98,7 +118,7 @@ let select_to_id p =
p_inputs = p.p_inputs;
p_outputs = p.p_outputs;
p_vars = p.p_vars;
- }
+ }, false
(*
If a = eqn(v1, v2, ...) and b = eqn(v1, v2, ...) <- the same equation
@@ -128,7 +148,7 @@ let same_eq_simplify p =
p_inputs = p.p_inputs;
p_outputs = p.p_outputs;
p_vars = p.p_vars;
- }
+ }, false
(* Replace one specific variable by another argument in the arguments of all equations
@@ -192,23 +212,31 @@ let rec eliminate_id p =
| None -> p, false
| Some(n, rep) -> fst (eliminate_id (eliminate_var n rep p)), true
-
-(* Eliminate dead equations *)
-let eliminate_dead p =
- p, false (* TODO *)
- (* a bit like a topological sort... *)
-
+(* Topological sort *)
+let topo_sort p =
+ (Scheduler.schedule p, false)
(* Apply all the simplification passes,
in the order given in the header of this file
*)
+let dump_varlist p =
+ print_string "Eq list:\n";
+ List.iter (fun (n, _) -> print_string ("- "^n^"\n")) p.p_eqs
+
let rec simplify p =
- let p1 = cascade_slices p in
- let p2 = arith_simplify p1 in
- let p3 = select_to_id p2 in
- let p4 = same_eq_simplify p3 in
- let p5, use5 = eliminate_id p4 in
- let p6, use6 = eliminate_dead p5 in
- let pp = p6 in
- if use5 || use6 then simplify pp else pp
+ let steps = [
+ cascade_slices;
+ arith_simplify;
+ select_to_id;
+ same_eq_simplify;
+ eliminate_id;
+ topo_sort;
+ ] in
+ let pp, use = List.fold_left
+ (fun (x, u) f ->
+ let xx, uu = f x in
+ dump_varlist xx;
+ (xx, u || uu))
+ (p, false) steps in
+ if use then simplify pp else pp
diff --git a/tests/Makefile b/tests/Makefile
index 443e86a..0721dab 100644
--- a/tests/Makefile
+++ b/tests/Makefile
@@ -7,7 +7,7 @@ SIM=../csim/csim
%.sim: %.dumb
$(SIM) $<
-%.dumb %_sch.net: %.net
+%.dumb %_sch.net %_opt.dumb %_sch_opt.net: %.net
$(SCHED) $<
%.net: %.mj
diff --git a/tests/clockHMS.mj b/tests/clockHMS.mj
index 27f96ea..a25a85c 100644
--- a/tests/clockHMS.mj
+++ b/tests/clockHMS.mj
@@ -13,19 +13,18 @@ repeat<n>(a) = (x:[n]) where
end where
fulladder(a,b,c) = (s, r) where
- s = (a ^ b) ^ c;
- r = (a & b) + ((a ^ b) & c);
+ s = (a ^ b) ^ c;
+ r = (a & b) + ((a ^ b) & c);
end where
adder<n>(a:[n], b:[n], c_in) = (o:[n], c_out) where
- if n = 0 then
- o = [];
- c_out = 0
- else
- (s_n, c_n1) = fulladder(a[0], b[0], c_in);
- (s_n1, c_out) = adder<n-1>(a[1..], b[1..], c_n1);
- o = s_n . s_n1
- end if
+ if n = 1 then
+ (o, c_out) = fulladder(a[0], b[0], c_in)
+ else
+ (s_n, c_n1) = fulladder(a[0], b[0], c_in);
+ (s_n1, c_out) = adder<n-1>(a[1..], b[1..], c_n1);
+ o = s_n . s_n1
+ end if
end where
equal<n, m>(a:[n]) = (eq) where
@@ -41,29 +40,29 @@ equal<n, m>(a:[n]) = (eq) where
end where
reg_n<n>(a:[n]) = (r:[n]) where
- if n = 0 then
- r = []
+ if n = 1 then
+ r = reg a[0]
else
- r = (reg a[0]) . (reg_n<n-1>(r[1..]))
+ r = (reg a[0]) . (reg_n<n-1>(a[1..]))
end if
end where
and_each<n>(a, b:[n]) = (o:[n]) where
- if n = 0 then
- o = []
+ if n = 1 then
+ o = b[0] and a
else
o = (b[0] and a) . and_each<n-1>(a, b[1..])
end if
end where
count_mod<n, m>(in:[n]) = (out:[n]) where
- neq = not (equal<n, m>(in));
(incr, carry) = adder<n>(in, 1 . repeat<n-1>(0), 0);
+ neq = not (equal<n, m>(incr));
out = and_each<n>(neq, incr)
end where
-main() = (ret:[2],out:[2]) where
- out = count_mod<2, 3>(ret);
- ret = reg_n<2>(out)
+main() = (out:[4],next:[4]) where
+ next = count_mod<4, 12>(out);
+ out = reg_n<4>(next)
end where