let label_of_problem {label} = label;;
+let string_of_var l x =
+ try
+ List.nth l x
+ with Failure "nth" -> "`" ^ string_of_int x
+;;
+let string_of_term p t = print ~l:p.var_names (t :> nf);;
+
let all_terms p =
(match p.div with None -> [] | Some t -> [(t :> i_n_var)])
@ p.conv
let string_of_problem label ({freshno; div; conv; ps; deltas} as p) =
let deltas = String.concat ("\n# ") (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in
- let nv = List.length p.var_names in
- let l = p.var_names @ Array.to_list (Array.init (freshno + 1 - nv) (fun x -> "`" ^ string_of_int x)) in
+ let l = p.var_names in
String.concat "\n" ([
"";
"# DISPLAY PROBLEM (" ^ label ^ ") " ^ "measure=" ^ string_of_measure (problem_measure p);
"$" ^ p.label;
(match div with None -> "# no D" | Some div -> "D " ^ print ~l (div :> nf));
]
- @ List.map (fun t -> "C " ^ (if t = convergent_dummy then " ... " else print ~l (t :> nf))) conv
+ @ List.map (fun t -> "C " ^ (if t = convergent_dummy then "#C" else "C " ^ print ~l (t :> nf))) conv
@ List.mapi (fun i t -> string_of_int i ^ " " ^ print ~l (t :> nf)) ps
@ [""])
;;
let div = option_map cast_to_i_var div in
let ps = List.map cast_to_i_n_var (old_ps @ new_ps) in
let conv = List.map cast_to_i_n_var conv in
-(let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
-prerr_endline ("# INST: " ^ string_of_var x ^ " := " ^ print ~l inst));
let p = {p with freshno; div; conv; ps} in
+ prerr_endline ("# INST: " ^ string_of_var p.var_names x ^ " := " ^ string_of_term p inst);
( (* check if double substituting a variable *)
if List.exists (fun (x',_) -> x = x') sigma
- then failwithProblem p ("Variable "^ string_of_var x ^"replaced twice")
+ then failwithProblem p ("Variable "^ string_of_var p.var_names x ^"replaced twice")
);
let p = {p with sigma = sigma@[x,inst]} in
let p = super_simplify p in
Not_found -> ()
(* cut & paste from above *)
-let rec dangerous_conv arities showstoppers =
+let rec dangerous_conv p arities showstoppers =
function
`N _
| `Var _
| `Match(t,_,liftno,bs,args) ->
(* CSC: XXX partial dependency on the encoding *)
(match t with
- `N _ -> concat_map (dangerous_conv arities showstoppers) args
- | `Match _ as t -> dangerous_conv arities showstoppers t @ concat_map (dangerous_conv arities showstoppers) args
- | `Var(x,_) -> dangerous_inert_conv arities showstoppers x [] args 2
- | `I((x,_),args') -> dangerous_inert_conv arities showstoppers x (Listx.to_list args') args 2
+ `N _ -> concat_map (dangerous_conv p arities showstoppers) args
+ | `Match _ as t -> dangerous_conv p arities showstoppers t @ concat_map (dangerous_conv p arities showstoppers) args
+ | `Var(x,_) -> dangerous_inert_conv p arities showstoppers x [] args 2
+ | `I((x,_),args') -> dangerous_inert_conv p arities showstoppers x (Listx.to_list args') args 2
)
- | `I((k,_),args) -> dangerous_inert_conv arities showstoppers k (Listx.to_list args) [] 0
+ | `I((k,_),args) -> dangerous_inert_conv p arities showstoppers k (Listx.to_list args) [] 0
-and dangerous_inert_conv arities showstoppers k args match_args more_args =
+and dangerous_inert_conv p arities showstoppers k args match_args more_args =
let all_args = args @ match_args in
- let dangerous_args = concat_map (dangerous_conv arities showstoppers) all_args in
+ let dangerous_args = concat_map (dangerous_conv p arities showstoppers) all_args in
+ let all_args = (all_args :> nf list) in
if dangerous_args = [] then (
if List.mem k showstoppers then k :: concat_map free_vars all_args else
try
let arity = arity_of arities k in
-prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args);
+prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var p.var_names k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args);
if more_args > 0 (* match argument*) && List.length args = arity then []
else if List.length all_args + more_args > arity then k :: concat_map free_vars all_args else []
with
) else k :: concat_map free_vars all_args
(* inefficient algorithm *)
-let rec edible arities div ps conv showstoppers =
+let rec edible ({div; conv; ps} as p) arities showstoppers =
let rec aux showstoppers =
function
[] -> showstoppers
in
let showstoppers = sort_uniq (aux showstoppers ps) in
let dangerous_conv =
- List.map (dangerous_conv arities showstoppers) (conv :> nf list) in
+ List.map (dangerous_conv p arities showstoppers) (conv :> nf list) in
prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv));
-List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l))) dangerous_conv;
+List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv;
let showstoppers' = showstoppers @ List.concat dangerous_conv in
let showstoppers' = sort_uniq (match div with
| Some div ->
if List.exists ((=) (hd_of_i_var div)) showstoppers'
then showstoppers' @ free_vars (div :> nf) else showstoppers') in
- if showstoppers <> showstoppers' then edible arities div ps conv showstoppers' else showstoppers', dangerous_conv
+ if showstoppers <> showstoppers' then edible p arities showstoppers' else showstoppers', dangerous_conv
;;
let precompute_edible_data {ps; div} xs =
let showstoppers_eat = List.filter
(fun x -> not (List.mem x showstoppers_step))
showstoppers_eat in
- List.iter (fun v -> prerr_endline ("DANGEROUS STEP: " ^ string_of_var v)) showstoppers_step;
- List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ string_of_var v)) showstoppers_eat;
+ List.iter (fun v -> prerr_endline ("DANGEROUS STEP: " ^ (string_of_var p.var_names) v)) showstoppers_step;
+ List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ (string_of_var p.var_names) v)) showstoppers_eat;
p, showstoppers_step, showstoppers_eat
;;
let heads = List.sort compare (filter_map hd_of ps) in
let arities = precompute_edible_data p (uniq heads) in
let showstoppers, showstoppers_conv =
- edible arities p.div ps p.conv showstoppers in
+ edible p arities showstoppers in
let l = List.filter (fun (x,_,_) -> not (List.mem x showstoppers)) arities in
let p =
List.fold_left (fun p (x,pos,(xx : i_n_var)) -> if pos = -1 then p else
let n = match xx with `I(_,args) -> Listx.length args | _ -> 0 in
let v = `N(pos) in
let inst = make_lams v n in
-(let l = Array.to_list (Array.init (p.freshno + 1) string_of_var) in
-prerr_endline ("# INST_IN_EAT: " ^ string_of_var x ^ " := " ^ print ~l inst));
+prerr_endline ("# INST_IN_EAT: " ^ string_of_var p.var_names x ^ " := " ^ string_of_term p inst);
{ p with sigma = p.sigma @ [x,inst] }
) p l in
(* to avoid applied numbers in safe positions that
prerr_endline ("Just created bomb var: " ^ string_of_nf !bomb);
let x = hd_of_i_var div in
let inst = make_lams !bomb n in
- prerr_endline ("# INST (div): " ^ string_of_var x ^ " := " ^ string_of_nf inst);
let p = {p with div=None} in
(* subst_in_problem (hd_of_i_var div) inst p in *)
{p with sigma=p.sigma@[x,inst]} in
let dangerous_conv = showstoppers_conv in
let _ = prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv));
-List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l))) dangerous_conv; in
+List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv; in
let conv =
List.map (function s,t ->
try
with Not_found -> match hd_of t with
| None -> assert (t = convergent_dummy); t
| Some h ->
- prerr_endline ("FREEZING " ^ string_of_var h);
+ prerr_endline ("FREEZING " ^ string_of_var p.var_names h);
convergent_dummy
) (List.combine showstoppers_conv p.conv) in
List.iter
let x =
match showstoppers_step, showstoppers_eat with
| [], y::_ ->
- prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var y); y
+ prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var p.var_names y); y
| [], [] ->
let heads =
(* Choose only variables still alive (with arity > 0) *)
with
Not_found -> assert false)
| x::_ ->
- prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var x);
+ prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var p.var_names x);
x)
| x::_, _ ->
- prerr_endline ("INSTANTIATING " ^ string_of_var x);
+ prerr_endline ("INSTANTIATING " ^ string_of_var p.var_names x);
x in
(* Strategy that decreases the special_k to 0 first (round robin)
1:11m42 2:14m5 3:11m16s 4:14m46s 5:12m7s 6:6m31s *)
with
| None -> assert false
| Some x ->
- prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var x);
+ prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var p.var_names x);
x
with
Not_found ->
let p_finale = auto p p.initialSpecialK in
let freshno,sigma = p_finale.freshno, p_finale.sigma in
prerr_endline ("------- <DONE> ------ measure=. \n ");
- let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
- List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma;
-
- prerr_endline "---------<OPT>----------";
- let sigma = optimize_numerals p_finale in (* optimize numerals *)
- let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
- List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma;
-
- prerr_endline "---------<PURE>---------";
- let t_of_nf t = ToScott.t_of_nf (t :> nf) in
- let div = option_map t_of_nf p.div in
- let conv = List.map t_of_nf p.conv in
- let ps = List.map t_of_nf p.ps in
-
- let sigma' = List.map (fun (x,inst) -> x, ToScott.t_of_nf inst) sigma in
- let e' = env_of_sigma freshno sigma' false (* FIXME shoudl_explode *) in
-
- prerr_endline "--------<REDUCE>---------";
- let pure_bomb = ToScott.t_of_nf (!bomb) in (* Pure.B *)
- (function Some div ->
- print_endline (Pure.print div);
- let t = Pure.mwhd (e',div,[]) in
- prerr_endline ("*:: " ^ (Pure.print t));
- assert (t = pure_bomb)
- | None -> ()) div;
- List.iter (fun n ->
- verbose ("_::: " ^ (Pure.print n));
- let t = Pure.mwhd (e',n,[]) in
- verbose ("_:: " ^ (Pure.print t));
- assert (t <> pure_bomb)
- ) conv ;
- List.iteri (fun i n ->
- verbose ((string_of_int i) ^ "::: " ^ (Pure.print n));
- let t = Pure.mwhd (e',n,[]) in
- verbose ((string_of_int i) ^ ":: " ^ (Pure.print t));
- assert (t = Scott.mk_n i)
- ) ps ;
- prerr_endline "-------- </DONE> --------";
- `Separable p_finale.sigma
+ List.iter (fun (x,inst) -> prerr_endline
+ (string_of_var p_finale.var_names x ^ " := " ^ string_of_term p_finale inst)) sigma;
+
+ prerr_endline "---------<OPT>----------";
+ let sigma = optimize_numerals p_finale in (* optimize numerals *)
+ List.iter (fun (x,inst) -> prerr_endline
+ (string_of_var p_finale.var_names x ^ " := " ^ string_of_term p_finale inst)) sigma;
+
+ prerr_endline "---------<PURE>---------";
+ let scott_of_nf t = ToScott.t_of_nf (t :> nf) in
+ let div = option_map scott_of_nf p.div in
+ let conv = List.map scott_of_nf p.conv in
+ let ps = List.map scott_of_nf p.ps in
+
+ let sigma' = List.map (fun (x,inst) -> x, scott_of_nf inst) sigma in
+ let e' = env_of_sigma freshno sigma' false (* FIXME shoudl_explode *) in
+
+ prerr_endline "--------<REDUCE>---------";
+ let pure_bomb = ToScott.t_of_nf (!bomb) in (* Pure.B *)
+ (function
+ | Some div ->
+ print_endline (Pure.print div);
+ let t = Pure.mwhd (e',div,[]) in
+ prerr_endline ("*:: " ^ (Pure.print t));
+ assert (t = pure_bomb)
+ | None -> ()) div;
+ List.iter (fun n ->
+ verbose ("_::: " ^ (Pure.print n));
+ let t = Pure.mwhd (e',n,[]) in
+ verbose ("_:: " ^ (Pure.print t));
+ assert (t <> pure_bomb)
+ ) conv ;
+ List.iteri (fun i n ->
+ verbose ((string_of_int i) ^ "::: " ^ (Pure.print n));
+ let t = Pure.mwhd (e',n,[]) in
+ verbose ((string_of_int i) ^ ":: " ^ (Pure.print t));
+ assert (t = Scott.mk_n i)
+ ) ps ;
+ prerr_endline "-------- </DONE> --------";
+ `Separable p_finale.sigma
;;
let problem_of (label, div, conv, ps, var_names) =
(* let rec string_of_term l = fun _ -> "";; *)
-let rec string_of_term l =
- let rec string_of_term_w_pars l = function
- | `Var(n,ar) -> List.nth l n ^ (if debug_display_arities then ":" ^ string_of_int ar else "")
+let rec string_of_term =
+ let boundvar x = "v" ^ string_of_int x in
+ let varname lev l n =
+ if n < lev then boundvar (lev-n-1)
+ else if n < List.length l then List.nth l (n-lev)
+ else "`" ^ string_of_int (n-lev) in
+ let rec string_of_term_w_pars lev l = function
+ | `Var(n,ar) -> varname lev l n ^ (if debug_display_arities then ":" ^ string_of_int ar else "")
| `N n -> string_of_int n
- | `I _ as t -> "(" ^ string_of_term_no_pars_app l (t :> nf) ^ ")"
- | `Lam _ as t -> "(" ^ string_of_term_no_pars_lam l t ^ ")"
+ | `I _ as t -> "(" ^ string_of_term_no_pars_app lev l t ^ ")"
+ | `Lam _ as t -> "(" ^ string_of_term_no_pars_lam lev l t ^ ")"
| `Match(t,(v,ar),bs_lift,bs,args) ->
- "["^ List.nth l v ^ (if debug_display_arities then ":"^ string_of_int ar else "") ^",match " ^ string_of_term_no_pars l (t :> nf) ^
- " with " ^ String.concat " | " (List.map (fun (n,t) -> string_of_int n ^ " => " ^ string_of_term l (lift bs_lift (t :> nf))) !bs) ^ "] " ^
+ (* assert (bs_lift = lev); *)
+ "["^ varname lev l v ^ (if debug_display_arities then ":"^ string_of_int ar else "") ^",match " ^ string_of_term_no_pars lev l (t :> nf) ^
+ " with " ^ String.concat " | " (List.map (fun (n,t) -> string_of_int n ^ " => " ^ string_of_term l (t :> nf)) !bs) ^ "] " ^
String.concat " " (List.map (string_of_term l) (args :> nf list)) ^ ")"
- and string_of_term_no_pars_app l = function
- | `I((n,ar), args) -> List.nth l n ^ (if debug_display_arities then ":" ^ string_of_int ar else "") ^ " " ^ String.concat " " (List.map (string_of_term_w_pars l) (Listx.to_list args :> nf list))
- | #nf as t -> string_of_term_w_pars l t
- and string_of_term_no_pars_lam l = function
- | `Lam(_,t) -> let name = "x" ^ string_of_int (List.length l) in
- "λ" ^ name ^ ". " ^ (string_of_term_no_pars_lam (name::l) t)
- | _ as t -> string_of_term_no_pars l t
- and string_of_term_no_pars l : nf -> string = function
- | `Lam _ as t -> string_of_term_no_pars_lam l t
- | #nf as t -> string_of_term_no_pars_app l t
- in string_of_term_no_pars l
+ and string_of_term_no_pars_app lev l = function
+ | `I((n,ar), args) -> varname lev l n ^ (if debug_display_arities then ":" ^ string_of_int ar else "") ^ " " ^ String.concat " " (List.map (string_of_term_w_pars lev l) (Listx.to_list args :> nf list))
+ | #nf as t -> string_of_term_w_pars lev l t
+ and string_of_term_no_pars_lam lev l = function
+ | `Lam(_,t) -> "λ" ^ boundvar lev ^ ". " ^ (string_of_term_no_pars_lam (lev+1) l t)
+ | _ as t -> string_of_term_no_pars lev l t
+ and string_of_term_no_pars lev l = function
+ | `Lam _ as t -> string_of_term_no_pars_lam lev l t
+ | #nf as t -> string_of_term_no_pars_app lev l t
+ in string_of_term_no_pars 0
;;
let print ?(l=[]) = string_of_term l;;