open Printf
-let debug = true
+let debug = false
let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
open Continuationals.Stack
;;
let dot_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| ([], _, [], _) :: _ as stack ->
(* backward compatibility: do-nothing-dot *)
(([ loc ], t, k, tag) :: s)
| _ -> fail (lazy "can't use \".\" here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
-let branch_tac status =
- let new_gstatus =
- match status.gstatus with
+let branch_tac ?(force=false) status =
+ let gstatus =
+ match status#stack with
| [] -> assert false
| (g, t, k, tag) :: s ->
match init_pos g with (* TODO *)
- | [] | [ _ ] -> fail (lazy "too few goals to branch");
+ | [] -> fail (lazy "empty goals")
+ | [_] when (not force) -> fail (lazy "too few goals to branch")
| loc :: loc_tl ->
([ loc ], [], [], `BranchTag) :: (loc_tl, t, k, tag) :: s
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let shift_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| (g, t, k, `BranchTag) :: (g', t', k', tag) :: s ->
(match g' with
| [] -> fail (lazy "no more goals to shift")
:: (loc_tl, t', k', tag) :: s))
| _ -> fail (lazy "can't shift goals here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let pos_tac i_s status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| ([ loc ], t, [],`BranchTag) :: (g', t', k', tag) :: s
when is_fresh loc ->
:: (([ loc ] @+ g') @- l_js, t', k', tag) :: s)
| _ -> fail (lazy "can't use relative positioning here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
+;;
+
+let case_tac lab status =
+ let gstatus =
+ match status#stack with
+ | [] -> assert false
+ | ([ loc ], t, [],`BranchTag) :: (g', t', k', tag) :: s
+ when is_fresh loc ->
+ let l_js =
+ List.filter
+ (fun curloc ->
+ let _,_,metasenv,_,_ = status#obj in
+ match NCicUtils.lookup_meta (goal_of_loc curloc) metasenv with
+ attrs,_,_ when List.mem (`Name lab) attrs -> true
+ | _ -> false) ([loc] @+ g') in
+ ((l_js, t , [],`BranchTag)
+ :: (([ loc ] @+ g') @- l_js, t', k', tag) :: s)
+ | _ -> fail (lazy "can't use relative positioning here")
+ in
+ status#set_stack gstatus
;;
let wildcard_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| ([ loc ] , t, [], `BranchTag) :: (g', t', k', tag) :: s
when is_fresh loc ->
(([loc] @+ g', t, [], `BranchTag) :: ([], t', k', tag) :: s)
| _ -> fail (lazy "can't use wildcard here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let merge_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| (g, t, k,`BranchTag) :: (g', t', k', tag) :: s ->
((t @+ filter_open g @+ g' @+ k, t', k', tag) :: s)
| _ -> fail (lazy "can't merge goals here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let focus_tac gs status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| s -> assert(gs <> []);
let stack_locs =
gs;
(zero_pos gs, [], [], `FocusTag) :: deep_close gs s
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let unfocus_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
- | ([], [], [], `FocusTag) :: s -> s
- | _ -> fail (lazy "can't unfocus, some goals are still open")
+ | (g, [], [], `FocusTag) :: s when filter_open g = [] -> s
+ | _ as s -> fail (lazy ("can't unfocus, some goals are still open:\n"^
+ Continuationals.Stack.pp s))
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let skip_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| (gl, t, k, tag) :: s ->
let gl = List.map switch_of_loc gl in
else
([],t,k,tag) :: s
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let block_tac l status =
List.fold_left (fun status tac -> tac status) status l
;;
+
let compare_statuses ~past ~present =
- let _,_,past,_,_ = past.pstatus in
- let _,_,present,_,_ = present.pstatus in
+ let _,_,past,_,_ = past#obj in
+ let _,_,present,_,_ = present#obj in
List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present),
List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past)
;;
(e.g. the tactic could perform a global analysis of the set of goals)
*)
-let exec tac low_status g =
+let exec tac (low_status : #lowtac_status) g =
let stack = [ [0,Open g], [], [], `NoTag ] in
- let status = tac { gstatus = stack ; istatus = low_status } in
- status.istatus
+ let status =
+ (new NTacStatus.status low_status#obj stack)#set_estatus low_status
+ in
+ let status = tac status in
+ (low_status#set_estatus status)#set_obj status#obj
;;
-let distribute_tac tac status =
- match status.gstatus with
+let distribute_tac tac (status : #tac_status) =
+ match status#stack with
| [] -> assert false
| (g, t, k, tag) :: s ->
debug_print (lazy ("context length " ^string_of_int (List.length g)));
in
aux s go gc loc_tl
in
- let s0, go0, gc0 = status.istatus, [], [] in
+ let s0 = (new NTacStatus.status status#obj ())#set_estatus status in
+ let s0, go0, gc0 = s0, [], [] in
let sn, gon, gcn = aux s0 go0 gc0 g in
debug_print (lazy ("opened: "
^ String.concat " " (List.map string_of_int gon)));
let stack =
(zero_pos gon, t @~- gcn, k @~- gcn, tag) :: deep_close gcn s
in
- { gstatus = stack; istatus = sn }
+ ((status#set_stack stack)#set_obj(sn:>lowtac_status)#obj)#set_estatus sn
+;;
+
+let atomic_tac htac : #tac_status as 'a -> 'a = distribute_tac (exec htac) ;;
+
+let repeat_tac t s =
+ let rec repeat t (status : #tac_status as 'a) : 'a =
+ try repeat t (t status)
+ with NTacStatus.Error _ -> status
+ in
+ atomic_tac (repeat t) s
;;
-let atomic_tac htac = distribute_tac (exec htac) ;;
-let exact_tac t = distribute_tac (fun status goal ->
- let goalty = get_goalty status goal in
- let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
- instantiate status goal t)
+let try_tac tac status =
+ try
+ tac status
+ with NTacStatus.Error _ ->
+ status
+;;
+
+let first_tac tacl status =
+ let res =
+ HExtlib.list_findopt
+ (fun tac _ -> try Some (tac status) with NTacStatus.Error _ -> None) tacl
+ in
+ match res with
+ | None -> fail (lazy "No tactics left")
+ | Some x -> x
+;;
+
+let exact_tac t : 's tactic = distribute_tac (fun status goal ->
+ instantiate_with_ast status goal t)
+;;
+
+let assumption_tac status = distribute_tac (fun status goal ->
+ let gty = get_goalty status goal in
+ let context = ctx_of gty in
+ let htac =
+ first_tac
+ (List.map (fun (name,_) -> exact_tac ("",0,(Ast.Ident (name,None))))
+ context)
+ in
+ exec htac status goal) status
;;
let find_in_context name context =
fail (lazy ("hypothesis '" ^ name ^ "' not found")))
names
in
- let n,h,metasenv,subst,o = status.pstatus in
- let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in
- { status with pstatus = n,h,metasenv,subst,o })
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv,subst,_,_ = NCicMetaSubst.restrict metasenv subst goal js in
+ status#set_obj (n,h,metasenv,subst,o))
;;
let generalize0_tac args =
if args = [] then id_tac
- else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
+ else exact_tac ("",0,Ast.Appl (Ast.Implicit `JustOne :: args))
;;
let select0_tac ~where:(wanted,hyps,where) ~job =
let newgoalty = mk_cic_term newgoalctx newgoalty in
let status, instance =
- mk_meta status newgoalctx (`Decl newgoalty)
+ mk_meta status newgoalctx (`Decl newgoalty) `IsTerm
in
instantiate status goal instance)
;;
let l = ref [] in
block_tac [
select_tac ~where ~job:(`Collect l) true;
- print_tac true "ha selezionato?";
(fun s -> distribute_tac (fun status goal ->
let goalty = get_goalty status goal in
let status,canon,rest =
_,_,(None,_,_) -> fail (lazy "No term to generalize")
| txt,txtlen,(Some what,_,_) ->
let status, what =
- disambiguate status (txt,txtlen,what) None (ctx_of goalty)
+ disambiguate status (ctx_of goalty) (txt,txtlen,what) None
in
status,what,[]
)
) s) ]
;;
+let cut_tac t =
+ atomic_tac (block_tac [
+ exact_tac ("",0, Ast.Appl [Ast.Implicit `JustOne; Ast.Implicit `JustOne]);
+ branch_tac;
+ pos_tac [3]; exact_tac t;
+ shift_tac; pos_tac [2]; skip_tac;
+ merge_tac ])
+;;
+
+let lapply_tac (s,n,t) =
+ exact_tac (s,n, Ast.Appl [Ast.Implicit `JustOne; t])
+;;
+
let reduce_tac ~reduction ~where =
let change status t =
match reduction with
let change_tac ~where ~with_what =
let change status t =
- let status, ww = disambiguate status with_what None (ctx_of t) in
+ let status, ww = disambiguate status (ctx_of t) with_what None in
let status = unify status (ctx_of t) t ww in
status, ww
in
let letin_tac ~where ~what:(_,_,w) name =
block_tac [
select_tac ~where ~job:(`Substexpand 1) true;
- exact_tac ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit));
+ exact_tac
+ ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit `JustOne));
]
;;
-let apply_tac = exact_tac;;
+let apply_tac (s,n,t) =
+ let t = Ast.Appl [t; Ast.Implicit `Vector] in
+ exact_tac (s,n,t)
+;;
type indtyinfo = {
rightno: int;
}
;;
-let analyze_indty_tac ~what indtyref = distribute_tac (fun status goal ->
+let ref_of_indtyinfo iti = iti.reference;;
+
+let analyze_indty_tac ~what indtyref =
+ distribute_tac (fun status goal ->
let goalty = get_goalty status goal in
- let status, what = disambiguate status what None (ctx_of goalty) in
+ let status, what = disambiguate status (ctx_of goalty) what None in
let status, ty_what = typeof status (ctx_of what) what in
let status, (r,consno,lefts,rights) = analyse_indty status ty_what in
- let leftno = List.length rights in
+ let leftno = List.length lefts in
let rightno = List.length rights in
indtyref := Some {
rightno = rightno; leftno = leftno; consno = consno;
exec id_tac status goal)
;;
-let elim_tac ~what ~where =
+let sort_of_goal_tac sortref = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status,sort = typeof status (ctx_of goalty) goalty in
+ let status, sort = fix_sorts status sort in
+ let status, sort = term_of_cic_term status sort (ctx_of goalty) in
+ sortref := sort;
+ status)
+;;
+
+let elim_tac ~what:(txt,len,what) ~where =
+ let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in
let indtyinfo = ref None in
- let sort = ref None in
- let compute_goal_sort_tac = distribute_tac (fun status goal ->
- let goalty = get_goalty status goal in
- let status, goalsort = typeof status (ctx_of goalty) goalty in
- sort := Some goalsort;
- exec id_tac status goal)
- in
+ let sort = ref (NCic.Rel 1) in
atomic_tac (block_tac [
analyze_indty_tac ~what indtyinfo;
(fun s -> select_tac
~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
- compute_goal_sort_tac;
+ sort_of_goal_tac sort;
(fun status ->
- let sort = HExtlib.unopt !sort in
let ity = HExtlib.unopt !indtyinfo in
let NReference.Ref (uri, _) = ity.reference in
- let istatus, sort = term_of_cic_term status.istatus sort (ctx_of sort) in
- let status = { status with istatus = istatus } in
- let name = NUri.name_of_uri uri ^
- match sort with
- | NCic.Sort NCic.Prop -> "_ind"
- | NCic.Sort _ -> "_rect"
- | _ -> assert false
+ let name =
+ NUri.name_of_uri uri ^ "_" ^
+ snd (NCicElim.ast_of_sort
+ (match !sort with NCic.Sort x -> x | _ -> assert false))
in
- let holes =
- HExtlib.mk_list Ast.Implicit (ity.leftno+1+ ity.consno + ity.rightno) in
let eliminator =
let _,_,w = what in
- Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
+ Ast.Appl [ Ast.Ident (name,None) ; Ast.Implicit `Vector ; w ]
in
exact_tac ("",0,eliminator) status) ])
;;
-let rewrite_tac ~dir ~what:(_,_,what) ~where =
+let rewrite_tac ~dir ~what:(_,_,what) ~where status =
+ let sortref = ref (NCic.Rel 1) in
+ let status = sort_of_goal_tac sortref status in
+ let suffix = "_" ^ snd (NCicElim.ast_of_sort
+ (match !sortref with NCic.Sort x -> x | _ -> assert false))
+ in
let name =
- match dir with `LeftToRight -> "eq_elim_r" | `RightToLeft -> "eq_ind"
+ match dir with
+ `LeftToRight -> "eq" ^ suffix ^ "_r"
+ | `RightToLeft -> "eq" ^ suffix
in
block_tac
- [ select_tac ~where ~job:(`Substexpand 1) true;
+ [ select_tac ~where ~job:(`Substexpand 2) true;
exact_tac
("",0,
- Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list Ast.Implicit 5 @
- [what]))]
+ Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list (Ast.Implicit `JustOne) 5@
+ [what]))] status
;;
let intro_tac name =
block_tac
[ exact_tac
("",0,(Ast.Binder (`Lambda,
- (Ast.Ident (name,None),None),Ast.Implicit)));
+ (Ast.Ident (name,None),None),Ast.Implicit `JustOne)));
if name = "_" then clear_tac [name] else id_tac ]
;;
+let name_counter = ref 0;;
+let intros_tac ?names_ref names s =
+ let names_ref, prefix =
+ match names_ref with | None -> ref [], "__" | Some r -> r, "H"
+ in
+ if names = [] then
+ repeat_tac
+ (fun s ->
+ incr name_counter;
+ (* TODO: generate better names *)
+ let name = prefix ^ string_of_int !name_counter in
+ let s = intro_tac name s in
+ names_ref := !names_ref @ [name];
+ s)
+ s
+ else
+ block_tac (List.map intro_tac names) s
+;;
+
let cases ~what status goal =
let gty = get_goalty status goal in
- let status, what = disambiguate status what None (ctx_of gty) in
+ let status, what = disambiguate status (ctx_of gty) what None in
let status, ty = typeof status (ctx_of what) what in
let status, (ref, consno, _, _) = analyse_indty status ty in
let status, what = term_of_cic_term status what (ctx_of gty) in
NCic.Match (ref,NCic.Implicit `Term, what,
HExtlib.mk_list (NCic.Implicit `Term) consno)
in
- let ctx = ctx_of gty in
- let status,t,ty = refine status ctx (mk_cic_term ctx t) (Some gty) in
- instantiate status goal t
+ instantiate status goal (mk_cic_term (ctx_of gty) t)
;;
-let cases_tac ~what ~where =
+let cases_tac ~what:(txt,len,what) ~where =
+ let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in
let indtyinfo = ref None in
atomic_tac
(block_tac [
if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
;;
+let constructor_tac ?(num=1) ~args = distribute_tac (fun status goal ->
+ if num < 1 then fail (lazy "constructor numbers begin with 1");
+ let gty = get_goalty status goal in
+ let status, (r,_,_,_) = analyse_indty status gty in
+ let ref = NReference.mk_constructor num r in
+ let t =
+ if args = [] then Ast.NRef ref else
+ Ast.Appl (HExtlib.list_concat ~sep:[Ast.Implicit `Vector]
+ ([Ast.NRef ref] :: List.map (fun _,_,x -> [x]) args))
+ in
+ exec (apply_tac ("",0,t)) status goal)
+;;
+
let assert0_tac (hyps,concl) = distribute_tac (fun status goal ->
let gty = get_goalty status goal in
let eq status ctx t1 t2 =
- let status,t1 = disambiguate status t1 None ctx in
+ let status,t1 = disambiguate status ctx t1 None in
let status,t1 = apply_subst status ctx t1 in
let status,t1 = term_of_cic_term status t1 ctx in
let t2 = mk_cic_term ctx t2 in
;;
let assert_tac seqs status =
- match status.gstatus with
+ match status#stack with
| [] -> assert false
| (g,_,_,_) :: s ->
assert (List.length g = List.length seqs);
| [seq] -> assert0_tac seq
| _ ->
block_tac
- (branch_tac::
+ ((branch_tac ~force:false)::
HExtlib.list_concat ~sep:[shift_tac]
(List.map (fun seq -> [assert0_tac seq]) seqs)@
[merge_tac])
) status
;;
-let auto ~params:(l,_) status goal =
- let gty = get_goalty status goal in
- let n,h,metasenv,subst,o = status.pstatus in
- let status,t = term_of_cic_term status gty (ctx_of gty) in
- let status, l =
- List.fold_left
- (fun (status, l) t ->
- let status, t = disambiguate status t None (ctx_of gty) in
- let status, ty = typeof status (ctx_of t) t in
- let status, ty = term_of_cic_term status ty (ctx_of ty) in
- (status, ty :: l))
- (status,[]) l
- in
- Paramod.nparamod metasenv subst (ctx_of gty) t l;
- status
-;;
-
-let auto_tac ~params status =
- distribute_tac (auto ~params) status
+let inversion_tac ~what:(txt,len,what) ~where =
+ let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in
+ let indtyinfo = ref None in
+ let sort = ref (NCic.Rel 1) in
+ atomic_tac (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ (fun s -> select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
+ sort_of_goal_tac sort;
+ (fun status ->
+ let ity = HExtlib.unopt !indtyinfo in
+ let NReference.Ref (uri, _) = ity.reference in
+ let name =
+ NUri.name_of_uri uri ^ "_inv_" ^
+ snd (NCicElim.ast_of_sort
+ (match !sort with NCic.Sort x -> x | _ -> assert false))
+ in
+ let eliminator =
+ let _,_,w = what in
+ Ast.Appl [ Ast.Ident (name,None) ; Ast.Implicit `Vector ; w ]
+ in
+ exact_tac ("",0,eliminator) status) ])
;;