let bomb = ref(`Var(-1,-666));;
+(*
+ The number of arguments which can applied to numbers
+ safely, depending on the encoding of numbers.
+ For Scott's encoding, two.
+*)
+let num_more_args = 2;;
+
type problem =
{ freshno: int
; div: i_var option (* None = bomb *)
; ps: i_n_var list (* the n-th inert must become n *)
; sigma: (int * nf) list (* the computed substitution *)
; deltas: (int * nf) list ref list (* collection of all branches *)
+ ; initialSpecialK: int
};;
let all_terms p =
@ p.ps
;;
-let problem_measure p = 0 ;;
+let sum_arities p =
+ let rec aux = function
+ | `N _ -> 0
+ | `Var(_,ar) -> if ar = min_int then 0 else max 0 ar (*assert (ar >= 0); ar*)
+ | `Lam(_,t) -> aux t
+ | `I(v,args) -> aux (`Var v) + aux_many (Listx.to_list args)
+ | `Match(u,(_,ar),_,_,args) -> aux (u :> nf) + (if ar = min_int then 0 else ar - 1) + aux_many args
+ and aux_many tms = List.fold_right ((+) ++ aux) tms 0 in
+ aux_many (all_terms p :> nf list)
+ ;;
+
+let count_fakevars p =
+ let rec aux = function
+ | `N _ -> 0
+ | `Var(_,ar) -> if ar = min_int then 1 else 0
+ | `Lam(_,t) -> aux t
+ | `I(v,args) -> aux (`Var v) + aux_many (Listx.to_list args)
+ | `Match(u,v,_,_,args) -> aux (u :> nf) + aux (`Var v) + aux_many args
+ and aux_many tms = List.fold_right ((+) ++ aux) tms 0 in
+ aux_many (all_terms p :> nf list)
+;;
+
+(* let problem_measure p = count_fakevars p, sum_arities p;;
+let string_of_measure (a,b) = "(fakevars="^string_of_int a^",sum_arities="^string_of_int b^")" *)
+
+let problem_measure p = sum_arities p;;
+let string_of_measure = string_of_int;;
let print_problem label ({freshno; div; conv; ps; deltas} as p) =
Console.print_hline ();
let nl = "\n| " in
let deltas = String.concat nl (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in
let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
- nl ^ "measure="^string_of_int(problem_measure p)^" freshno = " ^ string_of_int freshno
+ nl ^ "measure="^string_of_measure(problem_measure p)^" freshno = " ^ string_of_int freshno
^ nl ^ "\b> DISCRIMINATING SETS (deltas)"
^ nl ^ deltas ^ (if deltas = "" then "" else nl)
^ "\b> DIVERGENT" ^ nl
if List.exists (fun (j,_) -> i=j) !bs then
freshno
else
- let freshno,v = freshno+1, `Var (freshno+1, snd orig - 1) in (* make_fresh_var freshno in *)
+ let freshno,v = freshno+1, `Var (freshno+1, -666) in (* make_fresh_var freshno in *)
bs := !bs @ [i, v] ;
freshno in
(*prerr_endlie ("t DA RIDURRE:" ^ print (`Match(`N i,arity,bs_lift,bs,args) :> nf) ^ " more_args=" ^ string_of_int more_args);*)
let p = {p with freshno; div; conv; ps} in
( (* check if double substituting a variable *)
if List.exists (fun (x',_) -> x = x') sigma
- then failwithProblem p "Variable replaced twice"
+ then failwithProblem p ("Variable "^ string_of_var x ^"replaced twice")
);
let p = {p with sigma = sigma@[x,inst]} in
let p = super_simplify p in
(match t with
`N _ -> List.iter (dangerous arities showstoppers) args
| `Match _ as t -> dangerous arities showstoppers t ; List.iter (dangerous arities showstoppers) args
- | `Var(x,_) -> dangerous_inert arities showstoppers x args 2 (* 2 coming from Scott's encoding *)
- | `I((x,_),args') -> dangerous_inert arities showstoppers x (Listx.to_list args' @ args) 2 (* 2 coming from Scott's encoding *)
+ | `Var(x,_) -> dangerous_inert arities showstoppers x args num_more_args
+ | `I((x,_),args') -> dangerous_inert arities showstoppers x (Listx.to_list args' @ args) num_more_args
)
| `I((k,_),args) -> dangerous_inert arities showstoppers k (Listx.to_list args) 0
(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 (* 2 coming from Scott's encoding *)
- | `I((x,_),args') -> dangerous_inert_conv arities showstoppers x (Listx.to_list args' @ args) 2 (* 2 coming from Scott's encoding *)
+ | `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
)
- | `I((k,_),args) -> dangerous_inert_conv arities showstoppers k (Listx.to_list args) 0
+ | `I((k,_),args) -> dangerous_inert_conv arities showstoppers k (Listx.to_list args) [] 0
-and dangerous_inert_conv arities showstoppers k args more_args =
- concat_map (dangerous_conv arities showstoppers) args @
- if List.mem k showstoppers then k :: concat_map free_vars args else
+and dangerous_inert_conv 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
+ 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)) );
- if List.length args + more_args > arity then k :: concat_map free_vars args else []
+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);
+ 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
Not_found -> []
+ ) else k :: concat_map free_vars all_args
(* inefficient algorithm *)
let rec edible arities div ps conv showstoppers =
let dangerous_conv =
List.map (dangerous_conv 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;
+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;
+
let showstoppers' = showstoppers @ List.concat dangerous_conv in
let showstoppers' = sort_uniq (match div with
| None -> showstoppers'
(if hd_of_i_var (cast_to_i_var !bomb) = x
then failwithProblem p ("BOMB (" ^ string_of_nf !bomb ^ ") cannot be instantiated!"));
let arity_of_x = max_arity_tms x (all_terms p) in
- (if arity_of_x < 0 then failwithProblem p "step on a var of negative arity");
+ (if arity_of_x = None then failwithProblem p "step on var non occurring in problem");
+ (if Util.option_get(arity_of_x) = min_int then failwithProblem p "step on fake variable");
+ (if Util.option_get(arity_of_x) <= 0 then failwithProblem p "step on var of non-positive arity");
+ let n = (prerr_endline "WARNING: using constant initialSpecialK"); p.initialSpecialK in
(* AC: Once upon a time, it was:
let arities = Num.compute_arities x (n+1) (all_terms p :> nf list) in *)
(* let arities = Array.to_list (Array.make (n+1) 0) in *)
let p,vars = make_fresh_vars p arities in
let args = Listx.from_list (vars :> nf list) in
let bs = ref [] in
- (* min_int, since it will be replaced anyway during subst: *)
- let inst = `Lam(false,`Match(`I((0,n+1),Listx.map (lift 1) args),(x,min_int),1,bs,[])) in
+ (* 666, since it will be replaced anyway during subst: *)
+ let inst = `Lam(false,`Match(`I((0,min_int),Listx.map (lift 1) args),(x,666),1,bs,[])) in
let p = {p with deltas=bs::p.deltas} in
subst_in_problem x inst p
;;
prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var y); y
| [], [] ->
let heads =
+ (* Choose only variables still alive (with arity > 0) *)
List.sort compare (filter_map (
- fun t -> match t with `Var _ -> None | x -> if arity_of_hd x < 0 then None else hd_of x
+ fun t -> match t with `Var _ -> None | x -> if arity_of_hd x <= 0 then None else hd_of x
) ((match p.div with Some t -> [(t :> i_n_var)] | _ -> []) @ p.ps)) in
(match heads with
- [] -> assert false
+ [] ->
+ assert false
| x::_ ->
prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var x);
x)
let x =
try
match hd_of (List.find (fun t ->
- compute_special_k (Listx.Nil (t :> nf)) > 0 && arity_of_hd t >= 0
+ compute_special_k (Listx.Nil (t :> nf)) > 0 && arity_of_hd t > 0
) (all_terms p)) with
None -> assert false
| Some x ->
special_k,p
-let rec auto_eat (n,({ps} as p)) =
+let rec auto_eat (n,p) =
prerr_endline "{{{{{{{{ Computing measure before auto_instantiate }}}}}}";
let m = problem_measure p in
let (n,p') = auto_instantiate (n,p) in
`Finished p -> p
| `Continue p ->
prerr_endline "{{{{{{{{ Computing measure inafter auto_instantiate }}}}}}";
- let delta = m - problem_measure p' in
+ let m' = problem_measure p in
+ let delta = compare m m' in
+ print_endline ("compare " ^ string_of_measure m' ^ " " ^ string_of_measure m ^ "= " ^ string_of_int delta);
+ (* let delta = m - problem_measure p' in *)
if delta <= 0 then (
- (* failwithProblem p' *)
- prerr_endline
+ failwith
+ (* prerr_endline *)
("Measure did not decrease (delta=" ^ string_of_int delta ^ ")"))
else prerr_endline ("$ Measure decreased by " ^ string_of_int delta);
auto_eat (n,p)
if match div with None -> false | Some div -> List.exists (eta_subterm div) (tms@conv)
then (
prerr_endline "--- TEST SKIPPED ---";
- {freshno=0; div=None; conv=[]; ps=[]; sigma=[]; deltas=[]}, 0, []
+ {freshno=0; div=None; conv=[]; ps=[]; sigma=[]; deltas=[]; initialSpecialK=0}, 0, []
) else
let tms = sort_uniq ~compare:eta_compare tms in
let special_k = compute_special_k (Listx.from_list all_tms) in (* compute initial special K *)
let dummy = `Var (max_int / 2, -666) in
[ ref (Array.to_list (Array.init (List.length ps) (fun i -> i, dummy))) ] in
- {freshno; div; conv; ps; sigma=[] ; deltas}, special_k, cmds
+ {freshno; div; conv; ps; sigma=[] ; deltas; initialSpecialK=special_k}, special_k, cmds
;;
let magic strings cmds = magic_conv None [] strings cmds;;
projects / fireball-separation.git / blobdiff