diff options
Diffstat (limited to 'plugins/funind/g_indfun.ml4')
-rw-r--r-- | plugins/funind/g_indfun.ml4 | 244 |
1 files changed, 0 insertions, 244 deletions
diff --git a/plugins/funind/g_indfun.ml4 b/plugins/funind/g_indfun.ml4 index 043d4328..045beb37 100644 --- a/plugins/funind/g_indfun.ml4 +++ b/plugins/funind/g_indfun.ml4 @@ -247,247 +247,3 @@ END VERNAC COMMAND EXTEND GenerateGraph CLASSIFIED AS QUERY ["Generate" "graph" "for" reference(c)] -> [ make_graph (Smartlocate.global_with_alias c) ] END - - - - - -(* FINDUCTION *) - -(* comment this line to see debug msgs *) -let msg x = () ;; let pr_lconstr c = str "" - (* uncomment this to see debugging *) -let prconstr c = msg (str" " ++ Printer.pr_lconstr c ++ str"\n") -let prlistconstr lc = List.iter prconstr lc -let prstr s = msg(str s) -let prNamedConstr s c = - begin - msg(str ""); - msg(str(s^"==>\n ") ++ Printer.pr_lconstr c ++ str "\n<==\n"); - msg(str ""); - end - - - -(** Information about an occurrence of a function call (application) - inside a term. *) -type fapp_info = { - fname: constr; (** The function applied *) - largs: constr list; (** List of arguments *) - free: bool; (** [true] if all arguments are debruijn free *) - max_rel: int; (** max debruijn index in the funcall *) - onlyvars: bool (** [true] if all arguments are variables (and not debruijn) *) -} - - -(** [constr_head_match(a b c) a] returns true, false otherwise. *) -let constr_head_match u t= - if isApp u - then - let uhd,args= destApp u in - Constr.equal uhd t - else false - -(** [hdMatchSub inu t] returns the list of occurrences of [t] in - [inu]. DeBruijn are not pushed, so some of them may be unbound in - the result. *) -let rec hdMatchSub inu (test: constr -> bool) : fapp_info list = - let subres = - match kind_of_term inu with - | Lambda (nm,tp,cstr) | Prod (nm,tp,cstr) -> - hdMatchSub tp test @ hdMatchSub (lift 1 cstr) test - | Fix (_,(lna,tl,bl)) -> (* not sure Fix is correct *) - Array.fold_left - (fun acc cstr -> acc @ hdMatchSub (lift (Array.length tl) cstr) test) - [] bl - | _ -> (* Cofix will be wrong *) - fold_constr - (fun l cstr -> - l @ hdMatchSub cstr test) [] inu in - if not (test inu) then subres - else - let f,args = decompose_app inu in - let freeset = Termops.free_rels inu in - let max_rel = try Int.Set.max_elt freeset with Not_found -> -1 in - {fname = f; largs = args; free = Int.Set.is_empty freeset; - max_rel = max_rel; onlyvars = List.for_all isVar args } - ::subres - -let make_eq () = -(*FIXME*) Universes.constr_of_global (Coqlib.build_coq_eq ()) - -let mkEq typ c1 c2 = - mkApp (make_eq(),[| typ; c1; c2|]) - - -let poseq_unsafe idunsafe cstr gl = - let typ = Tacmach.pf_type_of gl cstr in - tclTHEN - (Proofview.V82.of_tactic (Tactics.letin_tac None (Name idunsafe) cstr None Locusops.allHypsAndConcl)) - (tclTHENFIRST - (Proofview.V82.of_tactic (Tactics.assert_before Anonymous (mkEq typ (mkVar idunsafe) cstr))) - (Proofview.V82.of_tactic Tactics.reflexivity)) - gl - - -let poseq id cstr gl = - let x = Tactics.fresh_id [] id gl in - poseq_unsafe x cstr gl - -(* dirty? *) - -let list_constr_largs = ref [] - -let rec poseq_list_ids_rec lcstr gl = - match lcstr with - | [] -> tclIDTAC gl - | c::lcstr' -> - match kind_of_term c with - | Var _ -> - (list_constr_largs:=c::!list_constr_largs ; poseq_list_ids_rec lcstr' gl) - | _ -> - let _ = prstr "c = " in - let _ = prconstr c in - let _ = prstr "\n" in - let typ = Tacmach.pf_type_of gl c in - let cname = Namegen.id_of_name_using_hdchar (Global.env()) typ Anonymous in - let x = Tactics.fresh_id [] cname gl in - let _ = list_constr_largs:=mkVar x :: !list_constr_largs in - let _ = prstr " list_constr_largs = " in - let _ = prlistconstr !list_constr_largs in - let _ = prstr "\n" in - - tclTHEN - (poseq_unsafe x c) - (poseq_list_ids_rec lcstr') - gl - -let poseq_list_ids lcstr gl = - let _ = list_constr_largs := [] in - poseq_list_ids_rec lcstr gl - -(** [find_fapp test g] returns the list of [app_info] of all calls to - functions that satisfy [test] in the conclusion of goal g. Trivial - repetition (not modulo conversion) are deleted. *) -let find_fapp (test:constr -> bool) g : fapp_info list = - let pre_res = hdMatchSub (Tacmach.pf_concl g) test in - let res = - List.fold_right (List.add_set Pervasives.(=)) pre_res [] in - (prlistconstr (List.map (fun x -> applist (x.fname,x.largs)) res); - res) - - - -(** [finduction id filter g] tries to apply functional induction on - an occurence of function [id] in the conclusion of goal [g]. If - [id]=[None] then calls to any function are selected. In any case - [heuristic] is used to select the most pertinent occurrence. *) -let finduction (oid:Id.t option) (heuristic: fapp_info list -> fapp_info list) - (nexttac:Proof_type.tactic) g = - let test = match oid with - | Some id -> - let idref = const_of_id id in - (* JF : FIXME : we probably need to keep trace of evd in presence of universe polymorphism *) - let idconstr = snd (Evd.fresh_global (Global.env ()) Evd.empty idref) in - (fun u -> constr_head_match u idconstr) (* select only id *) - | None -> (fun u -> isApp u) in (* select calls to any function *) - let info_list = find_fapp test g in - let ordered_info_list = heuristic info_list in - prlistconstr (List.map (fun x -> applist (x.fname,x.largs)) ordered_info_list); - if List.is_empty ordered_info_list then Errors.error "function not found in goal\n"; - let taclist: Proof_type.tactic list = - List.map - (fun info -> - (tclTHEN - (tclTHEN (poseq_list_ids info.largs) - ( - fun gl -> - (functional_induction - true (applist (info.fname, List.rev !list_constr_largs)) - None None) gl)) - nexttac)) ordered_info_list in - (* we try each (f t u v) until one does not fail *) - (* TODO: try also to mix functional schemes *) - tclFIRST taclist g - - - - -(** [chose_heuristic oi x] returns the heuristic for reordering - (and/or forgetting some elts of) a list of occurrences of - function calls infos to chose first with functional induction. *) -let chose_heuristic (oi:int option) : fapp_info list -> fapp_info list = - match oi with - | Some i -> (fun l -> [ List.nth l (i-1) ]) (* occurrence was given by the user *) - | None -> - (* Default heuristic: put first occurrences where all arguments - are *bound* (meaning already introduced) variables *) - let ordering x y = - if x.free && x.onlyvars && y.free && y.onlyvars then 0 (* both pertinent *) - else if x.free && x.onlyvars then -1 - else if y.free && y.onlyvars then 1 - else 0 (* both not pertinent *) - in - List.sort ordering - - - -TACTIC EXTEND finduction - ["finduction" ident(id) natural_opt(oi)] -> - [ - match oi with - | Some(n) when n<=0 -> Errors.error "numerical argument must be > 0" - | _ -> - let heuristic = chose_heuristic oi in - Proofview.V82.tactic (finduction (Some id) heuristic tclIDTAC) - ] -END - - - -TACTIC EXTEND fauto - [ "fauto" tactic(tac)] -> - [ - let heuristic = chose_heuristic None in - Proofview.V82.tactic (finduction None heuristic (Proofview.V82.of_tactic (Tacinterp.eval_tactic tac))) - ] - | - [ "fauto" ] -> - [ - let heuristic = chose_heuristic None in - Proofview.V82.tactic (finduction None heuristic tclIDTAC) - ] - -END - - -TACTIC EXTEND poseq - [ "poseq" ident(x) constr(c) ] -> - [ Proofview.V82.tactic (poseq x c) ] -END - -VERNAC COMMAND EXTEND Showindinfo CLASSIFIED AS QUERY - [ "showindinfo" ident(x) ] -> [ Merge.showind x ] -END - -VERNAC COMMAND EXTEND MergeFunind CLASSIFIED AS SIDEFF - [ "Mergeschemes" "(" ident(id1) ne_ident_list(cl1) ")" - "with" "(" ident(id2) ne_ident_list(cl2) ")" "using" ident(id) ] -> - [ - let f1,ctx = Constrintern.interp_constr (Global.env()) Evd.empty - (CRef (Libnames.Ident (Loc.ghost,id1),None)) in - let f2,ctx' = Constrintern.interp_constr (Global.env()) Evd.empty - (CRef (Libnames.Ident (Loc.ghost,id2),None)) in - let f1type = Typing.type_of (Global.env()) Evd.empty f1 in - let f2type = Typing.type_of (Global.env()) Evd.empty f2 in - let ar1 = List.length (fst (decompose_prod f1type)) in - let ar2 = List.length (fst (decompose_prod f2type)) in - let _ = - if not (Int.equal ar1 (List.length cl1)) then - Errors.error ("not the right number of arguments for " ^ Id.to_string id1) in - let _ = - if not (Int.equal ar2 (List.length cl2)) then - Errors.error ("not the right number of arguments for " ^ Id.to_string id2) in - Merge.merge id1 id2 (Array.of_list cl1) (Array.of_list cl2) id - ] -END |