+(* 0: 7
+ 1: 29 6
+ 2: 120 10
+ 3: > 327 >9
+ 4: ???
+*)
+
type t = M | I | C
type w = t list
type eqclass = w list
]
;;
+let inject =
+ function w ->
+ let rec aux acc =
+ function
+ [] -> acc
+ | he::tl -> aux (4 * acc + (match he with I -> 1 | C -> 2 | M -> 3)) tl
+ in
+ 0, aux 0 w, w
+;;
+
+module V =
+ struct
+ type t = int * int * w
+ let compare (h1,l1,_) (h2,l2,_) = compare (h1,l1) (h2,l2)
+ let hash (_,l,_) = l
+ let equal ((h1 : int),(l1 : int),_) (h2,l2,_) = l1=l2 && h1=h2
+ end
+
+module G = Graph.Imperative.Digraph.Concrete(V);;
+
+module VL =
+ struct
+ type t = eqclass
+ let compare = compare
+ let hash = Hashtbl.hash
+ let equal = (=)
+ end
+
+module GL = Graph.Imperative.Digraph.Concrete(VL);;
+
let swap = function Le -> Ge | Ge -> Le;;
let rec new_dir dir =
(List.map (function I -> "i" | C -> "c" | M -> "-") w)
;;
+let string_of_w' w =
+ String.concat ""
+ (List.map (function I -> "i" | C -> "c" | M -> "m") w)
+;;
+
+let string_of_eqclass l =
+ let s = String.concat "=" (List.map string_of_w l) in
+ if s = "" then "." else s
+;;
+
+let name_of_eqclass l =
+ let s = String.concat "_" (List.map string_of_w' l) in
+ if s = "" then "E" else s
+;;
+
exception NoMatch;;
let (@@) l1 ll2 = List.map (function l2 -> l1 @ l2) ll2;;
(List.map
(function w ->
List.map (fun x -> x@w)
- (if List.length (List.filter (fun w -> w = M) w) >= 2 then
+ (if List.length (List.filter (fun w -> w = M) w) >= 3 then
[[I];[C];[]]
else
[[I];[C];[M];[]])
List.flatten
(mapi (fun x -> apply_rules (x,Le) @ apply_rules (x,Ge)) l) in
let arcs =
- List.rev (List.rev_map
- (function (x,rel,y) -> match rel with Le -> x,y | Ge -> y,x) rels) in
- let res = uniq arcs in
- res
+ mapi
+ (function (x,rel,y) ->
+ let x = inject x in
+ let y = inject y in
+ match rel with Le -> x,y | Ge -> y,x) rels
+ in
+ uniq arcs
;;
-let visualize describe graph =
- let module G =
+let visualize graph =
+ let module GL =
struct
- include Graph.Pack.Digraph;;
+ include GL;;
let edge_attributes _ = []
let default_edge_attributes _ = []
let get_subgraph _ = None
- let vertex_attributes v = [`Label (describe (Graph.Pack.Digraph.V.label v))]
- let vertex_name v = "v" ^ string_of_int (Graph.Pack.Digraph.V.label v)
+ let vertex_attributes v = [`Label (string_of_eqclass (GL.V.label v))]
+ let vertex_name v = name_of_eqclass (GL.V.label v)
let default_vertex_attributes _ = []
let graph_attributes _ = []
end in
- let module D = Graph.Graphviz.Dot(G) in
+ let module D = Graph.Graphviz.Dot(GL) in
let ch = open_out "/tmp/comb.dot" in
D.output_graph ch graph;
close_out ch;
(*Unix.system ("ggv /tmp/red.ps");*)
;;
-let mk_vertex_and_dsc_vertex =
- function () ->
- let cache1 = Hashtbl.create 5393 in
- let cache2 = Hashtbl.create 5393 in
- (function w ->
- try
- Hashtbl.find cache1 w
- with
- Not_found ->
- let n =
- let rec aux acc =
- function
- [] -> acc
- | he::tl -> aux (acc * 4 + (match he with I -> 1 | C -> 2 | M -> 3)) tl
- in
- aux 0 w
- in
- let v = Graph.Pack.Digraph.V.create n in
- Hashtbl.add cache1 w v;
- Hashtbl.add cache2 v w;
- v),
- (Hashtbl.find cache2)
+let w_compare s1 s2 =
+ let c = compare (List.length s1) (List.length s2) in
+ if c = 0 then compare s1 s2 else c
;;
-let mk_vertex2 =
- function () ->
- let cache1 = Hashtbl.create 5393 in
- function n ->
- try
- Hashtbl.find cache1 n
- with
- Not_found ->
- let v = Graph.Pack.Digraph.V.create n in
- Hashtbl.add cache1 n v;
- v
-;;
-
-let string_compare s1 s2 =
- let c = compare (String.length s1) (String.length s2) in
- if c = 0 then String.compare s1 s2 else c
-;;
-
-let normalize_and_describe norm mk_vertex dsc_vertex =
+let normalize_and_describe norm =
let cache = Hashtbl.create 5393 in
let canonicals = Hashtbl.create 5393 in
let descriptions = Hashtbl.create 5393 in
- (function n ->
- let v = mk_vertex n in
+ (function v ->
let normalized = norm v in
- let dsc = dsc_vertex v in
+ let _,_,dsc = G.V.label v in
if not (List.mem dsc (Hashtbl.find_all cache normalized)) then
Hashtbl.add cache normalized dsc;
normalized),
let vertexes = uniq (Hashtbl.fold (fun k _ l -> k::l) cache []) in
let xx =
mapi
- (fun v ->
- v,
- List.sort string_compare
- (List.map string_of_w (Hashtbl.find_all cache v))
- ) vertexes in
+ (fun v -> v, List.sort w_compare (Hashtbl.find_all cache v)) vertexes in
iteri (function (_,w::_) -> Hashtbl.add canonicals w () | _ -> ()) xx;
- let is_not_redundant s =
- let len = String.length s in
- if len <= 1 then true
- else
- let w = String.sub s 1 (len - 1) in
+ let is_not_redundant =
+ function
+ [] | [_] -> true
+ | _::w ->
try Hashtbl.find canonicals w; true with Not_found -> false
in
iteri
(function (v,x) ->
- Hashtbl.add descriptions v
- (let s = String.concat "=" (List.filter is_not_redundant x) in
- if s = "" then "." else s)) xx),
+ Hashtbl.add descriptions v ((List.filter is_not_redundant x) : eqclass)) xx),
Hashtbl.find descriptions
;;
let classify arcs =
print_endline (string_of_int (List.length arcs) ^ " arcs to be classified");
- let mk_vertex,dsc_vertex = mk_vertex_and_dsc_vertex () in
- let graph = Graph.Pack.Digraph.create () in
- iteri
- (fun (x,y) ->
- Graph.Pack.Digraph.add_edge graph (mk_vertex x) (mk_vertex y)) arcs;
+ let graph = G.create () in
+ iteri (fun (x,y) -> G.add_edge graph x y) arcs;
print_endline ("<scc>");
- let classes,norm = Graph.Pack.Digraph.Components.scc graph in
+ let classes,norm =
+ let module SCC = Graph.Components.Make(G) in SCC.scc graph in
print_endline (string_of_int classes ^ " classes");
print_endline ("-----");
- norm,mk_vertex,dsc_vertex,arcs
+ norm,arcs
;;
-let analyze (norm,mk_vertex,dsc_vertex,arcs) =
+let analyze (norm,arcs) =
print_endline ("building class graph (" ^ string_of_int (List.length arcs) ^ ")");
- let normalize,finish,describe =
- normalize_and_describe norm mk_vertex dsc_vertex in
- let arcs =
- uniq (mapi (fun (x,y) -> normalize x,normalize y) arcs) in
- let cgraph = Graph.Pack.Digraph.create () in
- let mk_vertex2 = mk_vertex2 () in
- List.iter
- (function (x,y) ->
- if x <> y then
- Graph.Pack.Digraph.add_edge cgraph (mk_vertex2 x) (mk_vertex2 y)) arcs;
+ let normalize,finish,describe = normalize_and_describe norm in
+ let arcs = uniq (mapi (fun (x,y) -> normalize x,normalize y) arcs) in
print_endline "finish";
finish ();
+ print_endline ("collapse " ^ string_of_int (List.length arcs) ^ " arcs");
+ let arcs = uniq (mapi (function (x,y) -> describe x,describe y) arcs) in
+ print_endline ("build (" ^ string_of_int (List.length arcs) ^ " arcs)");
+ let cgraph = GL.create () in
+ iteri (function (x,y) -> if x <> y then GL.add_edge cgraph x y) arcs;
print_endline "visualize";
- visualize describe cgraph;
+ visualize cgraph;
print_endline ("/////");
;;
let rec iter n l =
+ print_endline ("STEP " ^ string_of_int n);
let pkg = classify (normalize l) in
if n > 0 then
iter (n - 1) (step l)
else
analyze pkg
in
- iter 10 [[]]
+ iter 15 [[]]
;;
projects / helm.git / blobdiff