(** perform debugging output? *)
let debug = false
+let debug_print = fun _ -> ()
(** debugging print *)
-let warn s =
- if debug then
- prerr_endline ("TACTICALS WARNING: " ^ s)
+let warn s = debug_print (lazy ("TACTICALS WARNING: " ^ (Lazy.force s)))
+let id_tac =
+ let id_tac (proof,goal) =
+ let _, metasenv, _, _ = proof in
+ let _, _, _ = CicUtil.lookup_meta goal metasenv in
+ (proof,[goal])
+ in
+ mk_tactic id_tac
+
+let fail_tac =
+ let fail_tac (proof,goal) =
+ let _, metasenv, _, _ = proof in
+ let _, _, _ = CicUtil.lookup_meta goal metasenv in
+ raise (Fail "fail tactical")
+ in
+ mk_tactic fail_tac
-(** TACTIC{,AL}S *)
+module type Status =
+ sig
+ type input_status
+ type output_status
+ type tactic
+ val id_tac : tactic
+ val mk_tactic : (input_status -> output_status) -> tactic
+ val apply_tactic : tactic -> input_status -> output_status
+ val goals : output_status -> ProofEngineTypes.goal list
+ val set_goals: output_status -> ProofEngineTypes.goal list -> output_status
+ val focus : output_status -> ProofEngineTypes.goal -> input_status
+ end
- (* not a tactical, but it's used only here (?) *)
+module type T =
+ sig
+ type tactic
-let id_tac ~status:(proof,goal) =
- (proof,[goal])
+ val first: tactics: (string * tactic) list -> tactic
+
+ val thens: start: tactic -> continuations: tactic list -> tactic
+
+ val then_: start: tactic -> continuation: tactic -> tactic
+
+ (** "folding" of then_ *)
+ val seq: tactics: tactic list -> tactic
+
+ val repeat_tactic: tactic: tactic -> tactic
+ val do_tactic: n: int -> tactic: tactic -> tactic
+
+ val try_tactic: tactic: tactic -> tactic
+
+ val solve_tactics: tactics: (string * tactic) list -> tactic
+ end
+
+module Make (S:Status) : T with type tactic = S.tactic =
+struct
+type tactic = S.tactic
(**
naive implementation of ORELSE tactical, try a sequence of tactics in turn:
if one fails pass to the next one and so on, eventually raises (failure "no
tactics left")
- TODO warning: not tail recursive due to "try .. with" boxing
-
- Galla: is this exactly Coq's "First"?
-
*)
-let rec try_tactics ~(tactics: (string * tactic) list) ~status =
- warn "in Tacticals.try_tactics";
+let first ~tactics =
+ let rec first ~(tactics: (string * tactic) list) status =
+ warn (lazy "in Tacticals.first");
match tactics with
| (descr, tac)::tactics ->
- warn ("Tacticals.try_tactics IS TRYING " ^ descr);
+ warn (lazy ("Tacticals.first IS TRYING " ^ descr));
(try
- let res = tac ~status in
- warn ("Tacticals.try_tactics: " ^ descr ^ " succedeed!!!");
+ let res = S.apply_tactic tac status in
+ warn (lazy ("Tacticals.first: " ^ descr ^ " succedeed!!!"));
res
with
e ->
match e with
(Fail _)
- | (CicTypeChecker.TypeCheckerFailure (CicTypeChecker.NotWellTyped _))
- | (CicUnification.UnificationFailed) ->
- warn (
- "Tacticals.try_tactics failed with exn: " ^
- Printexc.to_string e);
- try_tactics ~tactics ~status
+ | (CicTypeChecker.TypeCheckerFailure _)
+ | (CicUnification.UnificationFailure _) ->
+ warn (lazy (
+ "Tacticals.first failed with exn: " ^
+ Printexc.to_string e));
+ first ~tactics status
| _ -> raise e (* [e] must not be caught ; let's re-raise it *)
)
- | [] -> raise (Fail "try_tactics: no tactics left")
-
+ | [] -> raise (Fail "first: no tactics left")
+ in
+ S.mk_tactic (first ~tactics)
-let thens ~start ~continuations ~status =
- let (proof,new_goals) = start ~status in
+let thens ~start ~continuations =
+ let thens ~start ~continuations status =
+ let output_status = S.apply_tactic start status in
+ let new_goals = S.goals output_status in
try
- List.fold_left2
- (fun (proof,goals) goal tactic ->
- let (proof',new_goals') = tactic ~status:(proof,goal) in
- (proof',goals@new_goals')
- ) (proof,[]) new_goals continuations
+ let output_status,goals =
+ List.fold_left2
+ (fun (output_status,goals) goal tactic ->
+ let status = S.focus output_status goal in
+ let output_status' = S.apply_tactic tactic status in
+ let new_goals' = S.goals output_status' in
+ (output_status',goals@new_goals')
+ ) (output_status,[]) new_goals continuations
+ in
+ S.set_goals output_status goals
with
- Invalid_argument _ -> raise (Fail "thens: wrong number of new goals")
-
-
-
-let then_ ~start ~continuation ~status =
- let (proof,new_goals) = start ~status in
- List.fold_left
- (fun (proof,goals) goal ->
- let (proof',new_goals') = continuation ~status:(proof,goal) in
- (proof',goals@new_goals')
- ) (proof,[]) new_goals
-
-
-(* Galla *)
-(* si suppone che tutte le tattiche sollevino solamente Fail? *)
+ Invalid_argument _ ->
+ let debug = Printf.sprintf "thens: expected %i new goals, found %i"
+ (List.length continuations) (List.length new_goals)
+ in
+ raise (Fail debug)
+ in
+ S.mk_tactic (thens ~start ~continuations )
+
+
+let then_ ~start ~continuation =
+ let then_ ~start ~continuation status =
+ let output_status = S.apply_tactic start status in
+ let new_goals = S.goals output_status in
+ let output_status,goals =
+ List.fold_left
+ (fun (output_status,goals) goal ->
+ let status = S.focus output_status goal in
+ let output_status' = S.apply_tactic continuation status in
+ let new_goals' = S.goals output_status' in
+ (output_status',goals@new_goals')
+ ) (output_status,[]) new_goals
+ in
+ S.set_goals output_status goals
+ in
+ S.mk_tactic (then_ ~start ~continuation)
+let rec seq ~tactics =
+ match tactics with
+ | [] -> assert false
+ | [tac] -> tac
+ | hd :: tl -> then_ ~start:hd ~continuation:(seq ~tactics:tl)
(* TODO: x debug: i due tatticali seguenti non contano quante volte hanno applicato la tattica *)
(* When <tactic> generates more than one goal, you have a tree of
application on the tactic, repeat_tactic works in depth on this tree *)
-let rec repeat_tactic ~tactic ~status =
- warn "in repeat_tactic";
- try let (proof, goallist) = tactic ~status in
- let rec step proof goallist =
+let repeat_tactic ~tactic =
+ let rec repeat_tactic ~tactic status =
+ warn (lazy "in repeat_tactic");
+ try
+ let output_status = S.apply_tactic tactic status in
+ let goallist = S.goals output_status in
+ let rec step output_status goallist =
match goallist with
- [] -> (proof, [])
+ [] -> output_status,[]
| head::tail ->
- let (proof', goallist') = repeat_tactic ~tactic ~status:(proof, head) in
- let (proof'', goallist'') = step proof' tail in
- proof'', goallist'@goallist''
+ let status = S.focus output_status head in
+ let output_status' = repeat_tactic ~tactic status in
+ let goallist' = S.goals output_status' in
+ let output_status'',goallist'' = step output_status' tail in
+ output_status'',goallist'@goallist''
in
- step proof goallist
+ let output_status,goallist = step output_status goallist in
+ S.set_goals output_status goallist
with
(Fail _) as e ->
- warn ("Tacticals.repeat_tactic failed after nth time with exception: " ^ Printexc.to_string e) ;
- id_tac ~status
-;;
-
+ warn (lazy ("Tacticals.repeat_tactic failed after nth time with exception: " ^ Printexc.to_string e)) ;
+ S.apply_tactic S.id_tac status
+ in
+ S.mk_tactic (repeat_tactic ~tactic)
(* This tries to apply tactic n times *)
-
-let rec do_tactic ~n ~tactic ~status =
- warn "in do_tactic";
- try
- let (proof, goallist) =
- if (n>0) then tactic ~status
- else id_tac ~status in
-(* else (proof, []) in *)(* perche' non va bene questo? stessa questione di ##### ? *)
- let rec step proof goallist =
- match goallist with
- [] -> (proof, [])
- | head::tail ->
- let (proof', goallist') = do_tactic ~n:(n-1) ~tactic ~status:(proof, head) in
- let (proof'', goallist'') = step proof' tail in
- proof'', goallist'@goallist''
- in
- step proof goallist
- with
- (Fail _) as e ->
- warn ("Tacticals.do_tactic failed after nth time with exception: " ^ Printexc.to_string e) ;
- id_tac ~status
-;;
+let do_tactic ~n ~tactic =
+ let rec do_tactic ~n ~tactic status =
+ if n = 0 then
+ S.apply_tactic S.id_tac status
+ else
+ try
+ let output_status = S.apply_tactic tactic status in
+ let goallist = S.goals output_status in
+ let rec step output_status goallist =
+ match goallist with
+ [] -> output_status, []
+ | head::tail ->
+ let status = S.focus output_status head in
+ let output_status' = do_tactic ~n:(n-1) ~tactic status in
+ let goallist' = S.goals output_status' in
+ let (output_status'', goallist'') = step output_status' tail in
+ output_status'', goallist'@goallist''
+ in
+ let output_status,goals = step output_status goallist in
+ S.set_goals output_status goals
+ with
+ (Fail _) as e ->
+ warn (lazy ("Tacticals.do_tactic failed after nth time with exception: " ^ Printexc.to_string e)) ;
+ S.apply_tactic S.id_tac status
+ in
+ S.mk_tactic (do_tactic ~n ~tactic)
(* This applies tactic and catches its possible failure *)
-
-let rec try_tactic ~tactic ~status =
- warn "in Tacticals.try_tactic";
+let try_tactic ~tactic =
+ let rec try_tactic ~tactic status =
+ warn (lazy "in Tacticals.try_tactic");
try
- tactic ~status
+ S.apply_tactic tactic status
with
(Fail _) as e ->
- warn ( "Tacticals.try_tactic failed with exn: " ^ Printexc.to_string e);
- id_tac ~status
-;;
-
+ warn (lazy ( "Tacticals.try_tactic failed with exn: " ^ Printexc.to_string e));
+ S.apply_tactic S.id_tac status
+ in
+ S.mk_tactic (try_tactic ~tactic)
(* This tries tactics until one of them doesn't _solve_ the goal *)
(* TODO: si puo' unificare le 2(due) chiamate ricorsive? *)
-
-let rec solve_tactics ~(tactics: (string * tactic) list) ~status =
- warn "in Tacticals.solve_tactics";
+let solve_tactics ~tactics =
+ let rec solve_tactics ~(tactics: (string * tactic) list) status =
+ warn (lazy "in Tacticals.solve_tactics");
match tactics with
| (descr, currenttactic)::moretactics ->
- warn ("Tacticals.solve_tactics is trying " ^ descr);
+ warn (lazy ("Tacticals.solve_tactics is trying " ^ descr));
(try
- let (proof, goallist) = currenttactic ~status in
+ let output_status = S.apply_tactic currenttactic status in
+ let goallist = S.goals output_status in
match goallist with
- [] -> warn ("Tacticals.solve_tactics: " ^ descr ^ " solved the goal!!!");
-(* questo significa che non ci sono piu' goal, o che current_tactic non ne ha aperti di nuovi? (la 2a!) ##### *)
-(* nel secondo caso basta per dire che solve_tactics has solved the goal? (si!) *)
- (proof, goallist)
- | _ -> warn ("Tacticals.solve_tactics: try the next tactic");
- solve_tactics ~tactics:(moretactics) ~status
+ [] -> warn (lazy ("Tacticals.solve_tactics: " ^ descr ^
+ " solved the goal!!!"));
+(* questo significa che non ci sono piu' goal, o che current_tactic non ne
+ ha aperti di nuovi? (la 2a!) #####
+ nel secondo caso basta per dire che solve_tactics has solved the goal? (si!) *)
+ output_status
+ | _ -> warn (lazy ("Tacticals.solve_tactics: try the next tactic"));
+ solve_tactics ~tactics:(moretactics) status
with
(Fail _) as e ->
- warn ("Tacticals.solve_tactics: current tactic failed with exn: " ^ Printexc.to_string e);
- solve_tactics ~tactics ~status
+ warn (lazy ("Tacticals.solve_tactics: current tactic failed with exn: " ^
+ Printexc.to_string e));
+ solve_tactics ~tactics status
)
| [] -> raise (Fail "solve_tactics cannot solve the goal");
- id_tac ~status
-;;
-
-
-
-
-
-
-
-
-
-
- (** tattica di prova per debuggare i tatticali *)
-(*
-let thens' ~start ~continuations ~status =
- let (proof,new_goals) = start ~status in
- try
- List.fold_left2
- (fun (proof,goals) goal tactic ->
- let (proof',new_goals') = tactic ~status:(proof,goal) in
- (proof',goals@new_goals')
- ) (proof,[]) new_goals continuations
- with
- Invalid_argument _ -> raise (Fail "thens: wrong number of new goals")
-
-let prova_tac =
- let apply_T_tac ~status:((proof,goal) as status) =
- let curi,metasenv,pbo,pty = proof in
- let metano,context,gty = List.find (function (m,_,_) -> m=goal) metasenv in
- let rel =
- let rec find n =
- function
- [] -> assert false
- | (Some (Cic.Name name,_))::_ when name = "T" -> n
- | _::tl -> find (n+1) tl
- in
- prerr_endline ("eseguo find");
- find 1 context
- in
- prerr_endline ("eseguo apply");
- apply_tac ~term:(Cic.Rel rel) ~status
+ S.apply_tactic S.id_tac status
in
-(* do_tactic ~n:2 *)
- repeat_tactic
- ~tactic:
- (then_
- ~start:(intros_tac ~name:"pippo")
- ~continuation:(thens' ~start:apply_T_tac ~continuations:[id_tac ; apply_tac ~term:(Cic.Rel 1)]))
-(* id_tac *)
-;;
-*)
-
-
+ S.mk_tactic (solve_tactics ~tactics)
+end
+
+module ProofEngineStatus =
+ struct
+ type input_status = ProofEngineTypes.status
+ type output_status = ProofEngineTypes.proof * ProofEngineTypes.goal list
+ type tactic = ProofEngineTypes.tactic
+ let id_tac = id_tac
+ let mk_tactic = ProofEngineTypes.mk_tactic
+ let apply_tactic = ProofEngineTypes.apply_tactic
+ let goals (_,goals) = goals
+ let set_goals (proof,_) goals = proof,goals
+ let focus (proof,_) goal = proof,goal
+ end
+
+module ProofEngineTacticals = Make(ProofEngineStatus)
+
+include ProofEngineTacticals