--- /dev/null
+(* Copyright (C) 2004, HELM Team.
+ *
+ * This file is part of HELM, an Hypertextual, Electronic
+ * Library of Mathematics, developed at the Computer Science
+ * Department, University of Bologna, Italy.
+ *
+ * HELM is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * HELM is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with HELM; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA.
+ *
+ * For details, see the HELM World-Wide-Web page,
+ * http://helm.cs.unibo.it/
+ *)
+
+(* $Id$ *)
+
+open Printf
+
+let nonvar uri = not (UriManager.uri_is_var uri)
+
+module Constr = MetadataConstraints
+
+exception Goal_is_not_an_equation
+
+let debug = false
+let debug_print s = if debug then prerr_endline (Lazy.force s)
+
+let ( ** ) x y = int_of_float ((float_of_int x) ** (float_of_int y))
+
+let signature_of_hypothesis context metasenv =
+ let set, _ =
+ List.fold_right
+ (fun hyp (set,current_ctx) ->
+ match hyp with
+ | None -> set, hyp::current_ctx
+ | Some (_, Cic.Decl t) ->
+ Constr.UriManagerSet.union set (Constr.constants_of t),
+ hyp::current_ctx
+ | Some (_, Cic.Def (t, _)) ->
+ try
+ let ty,_ =
+ CicTypeChecker.type_of_aux'
+ metasenv current_ctx t CicUniv.empty_ugraph
+ in
+ let sort,_ =
+ CicTypeChecker.type_of_aux'
+ metasenv current_ctx ty CicUniv.empty_ugraph
+ in
+ let set = Constr.UriManagerSet.union set(Constr.constants_of ty)in
+ match sort with
+ | Cic.Sort Cic.Prop -> set, hyp::current_ctx
+ | _ -> Constr.UriManagerSet.union set (Constr.constants_of t),
+ hyp::current_ctx
+ with
+ | CicTypeChecker.TypeCheckerFailure _ -> set, hyp::current_ctx)
+ context (Constr.UriManagerSet.empty,[])
+ in
+ set
+;;
+
+let intersect uris siguris =
+ let set1 = List.fold_right Constr.UriManagerSet.add uris Constr.UriManagerSet.empty in
+ let set2 =
+ List.fold_right Constr.UriManagerSet.add siguris Constr.UriManagerSet.empty
+ in
+ let inter = Constr.UriManagerSet.inter set1 set2 in
+ List.filter (fun s -> Constr.UriManagerSet.mem s inter) uris
+
+(* Profiling code
+let at_most =
+ let profiler = CicUtil.profile "at_most" in
+ fun ~dbd ~where uri -> profiler.profile (Constr.at_most ~dbd ~where) uri
+
+let sigmatch =
+ let profiler = CicUtil.profile "sigmatch" in
+ fun ~dbd ~facts ~where signature ->
+ profiler.profile (MetadataConstraints.sigmatch ~dbd ~facts ~where) signature
+*)
+let at_most = Constr.at_most
+let sigmatch = MetadataConstraints.sigmatch
+
+let filter_uris_forward ~dbd (main, constants) uris =
+ let main_uris =
+ match main with
+ | None -> []
+ | Some (main, types) -> main :: types
+ in
+ let full_signature =
+ List.fold_right Constr.UriManagerSet.add main_uris constants
+ in
+ List.filter (at_most ~dbd ~where:`Statement full_signature) uris
+
+let filter_uris_backward ~dbd ~facts signature uris =
+ let siguris =
+ List.map snd
+ (sigmatch ~dbd ~facts ~where:`Statement signature)
+ in
+ intersect uris siguris
+
+let compare_goal_list proof goal1 goal2 =
+ let _,metasenv, _subst, _,_, _ = proof in
+ let (_, ey1, ty1) = CicUtil.lookup_meta goal1 metasenv in
+ let (_, ey2, ty2) = CicUtil.lookup_meta goal2 metasenv in
+ let ty_sort1,_ =
+ CicTypeChecker.type_of_aux' metasenv ey1 ty1 CicUniv.empty_ugraph
+ in
+ let ty_sort2,_ =
+ CicTypeChecker.type_of_aux' metasenv ey2 ty2 CicUniv.empty_ugraph
+ in
+ let prop1 =
+ let b,_ =
+ CicReduction.are_convertible
+ ey1 (Cic.Sort Cic.Prop) ty_sort1 CicUniv.empty_ugraph
+ in
+ if b then 0
+ else 1
+ in
+ let prop2 =
+ let b,_ =
+ CicReduction.are_convertible
+ ey2 (Cic.Sort Cic.Prop) ty_sort2 CicUniv.empty_ugraph
+ in
+ if b then 0
+ else 1
+ in
+ prop1 - prop2
+
+(* experimental_hint is a version of hint for experimental
+ purposes. It uses auto_tac_verbose instead of auto tac.
+ Auto_tac verbose also returns a substitution - for the moment
+ as a function from cic to cic, to be changed into an association
+ list in the future -. This substitution is used to build a
+ hash table of the inspected goals with their associated proofs.
+ The cose is a cut and paste of the previous one: at the end
+ of the experimentation we shall make a choice. *)
+
+let close_with_types s metasenv context =
+ Constr.UriManagerSet.fold
+ (fun e bag ->
+ let t = CicUtil.term_of_uri e in
+ let ty, _ =
+ CicTypeChecker.type_of_aux' metasenv context t CicUniv.empty_ugraph
+ in
+ Constr.UriManagerSet.union bag (Constr.constants_of ty))
+ s s
+
+let close_with_constructors s metasenv context =
+ Constr.UriManagerSet.fold
+ (fun e bag ->
+ let t = CicUtil.term_of_uri e in
+ match t with
+ Cic.MutInd (uri,_,_)
+ | Cic.MutConstruct (uri,_,_,_) ->
+ (match fst (CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
+ Cic.InductiveDefinition(tl,_,_,_) ->
+ snd
+ (List.fold_left
+ (fun (i,s) (_,_,_,cl) ->
+ let _,s =
+ List.fold_left
+ (fun (j,s) _ ->
+ let curi = UriManager.uri_of_uriref uri i (Some j) in
+ j+1,Constr.UriManagerSet.add curi s) (1,s) cl in
+ (i+1,s)) (0,bag) tl)
+ | _ -> assert false)
+ | _ -> bag)
+ s s
+
+(* Profiling code
+let apply_tac_verbose =
+ let profiler = CicUtil.profile "apply_tac_verbose" in
+ fun ~term status -> profiler.profile (PrimitiveTactics.apply_tac_verbose ~term) status
+
+let sigmatch =
+ let profiler = CicUtil.profile "sigmatch" in
+ fun ~dbd ~facts ?(where=`Conclusion) signature -> profiler.profile (Constr.sigmatch ~dbd ~facts ~where) signature
+
+let cmatch' =
+ let profiler = CicUtil.profile "cmatch'" in
+ fun ~dbd ~facts signature -> profiler.profile (Constr.cmatch' ~dbd ~facts) signature
+*)
+let apply_tac_verbose = PrimitiveTactics.apply_tac_verbose
+let cmatch' = Constr.cmatch'
+
+(* used only by te old auto *)
+let signature_of_goal ~(dbd:HSql.dbd) ((proof, goal) as _status) =
+ let (_, metasenv, _subst, _, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let main, sig_constants = Constr.signature_of ty in
+ let set = signature_of_hypothesis context metasenv in
+ let set =
+ match main with
+ None -> set
+ | Some (main,l) ->
+ List.fold_right Constr.UriManagerSet.add (main::l) set in
+ let set = Constr.UriManagerSet.union set sig_constants in
+ let all_constants_closed = close_with_types set metasenv context in
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement (None,all_constants_closed) in
+ let uris = List.filter nonvar (List.map snd uris) in
+ let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
+ uris
+
+let is_predicate u =
+ let ty, _ =
+ try CicTypeChecker.type_of_aux' [] []
+ (CicUtil.term_of_uri u) CicUniv.empty_ugraph
+ with CicTypeChecker.TypeCheckerFailure _ -> assert false
+ in
+ let rec check_last_pi = function
+ | Cic.Prod (_,_,tgt) -> check_last_pi tgt
+ | Cic.Sort Cic.Prop -> true
+ | _ -> false
+ in
+ check_last_pi ty
+;;
+
+let only constants uri =
+ prerr_endline (UriManager.string_of_uri uri);
+ let t = CicUtil.term_of_uri uri in (* FIXME: write ty_of_term *)
+ let ty,_ = CicTypeChecker.type_of_aux' [] [] t CicUniv.empty_ugraph in
+ let consts = Constr.constants_of ty in
+(*
+ prerr_endline ("XXX " ^ UriManager.string_of_uri uri);
+ Constr.UriManagerSet.iter (fun u -> prerr_endline (" - " ^
+ UriManager.string_of_uri u)) consts;
+ Constr.UriManagerSet.iter (fun u -> prerr_endline (" + " ^
+ UriManager.string_of_uri u)) constants;*)
+ Constr.UriManagerSet.subset consts constants
+;;
+
+let rec types_of_equality = function
+ | Cic.Appl [Cic.MutInd (uri, _, _); ty; _; _]
+ when (LibraryObjects.is_eq_URI uri) ->
+ let uri_set = Constr.constants_of ty in
+ if Constr.UriManagerSet.equal uri_set Constr.UriManagerSet.empty then
+ Constr.SetSet.empty
+ else Constr.SetSet.singleton uri_set
+ | Cic.Prod (_, s, t) ->
+ Constr.SetSet.union (types_of_equality s) (types_of_equality t)
+ | _ -> Constr.SetSet.empty
+;;
+
+let types_for_equality metasenv goal =
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let all = types_of_equality ty in
+ let _, all =
+ List.fold_left
+ (fun (i,acc) _ ->
+ let ty, _ =
+ CicTypeChecker.type_of_aux'
+ metasenv context (Cic.Rel i) CicUniv.empty_ugraph in
+ let newty = types_of_equality ty in
+ (i+1,Constr.SetSet.union newty acc))
+ (1,all) context
+ in all
+;;
+
+let signature_of metasenv goal =
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let ty_set = Constr.constants_of ty in
+ let hyp_set = signature_of_hypothesis context metasenv in
+ let set = Constr.UriManagerSet.union ty_set hyp_set in
+ close_with_types set metasenv context
+
+
+let universe_of_goal ~(dbd:HSql.dbd) apply_only metasenv goal =
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let ty_set = Constr.constants_of ty in
+ let hyp_set = signature_of_hypothesis context metasenv in
+ let set = Constr.UriManagerSet.union ty_set hyp_set in
+ let all_constants_closed = close_with_types set metasenv context in
+ (* we split predicates from the rest *)
+ let predicates, rest =
+ Constr.UriManagerSet.partition is_predicate all_constants_closed
+ in
+ let uris =
+ Constr.UriManagerSet.fold
+ (fun u acc ->
+ debug_print (lazy ("processing "^(UriManager.string_of_uri u)));
+ let set_for_sigmatch =
+ Constr.UriManagerSet.remove u all_constants_closed in
+ if LibraryObjects.is_eq_URI (UriManager.strip_xpointer u) then
+ (* equality has a special treatment *)
+ (debug_print (lazy "special treatment");
+ let tfe =
+ Constr.SetSet.elements (types_for_equality metasenv goal)
+ in
+ List.fold_left
+ (fun acc l ->
+ let tyl = Constr.UriManagerSet.elements l in
+ debug_print (lazy ("tyl: "^(String.concat "\n"
+ (List.map UriManager.string_of_uri tyl))));
+ let set_for_sigmatch =
+ Constr.UriManagerSet.diff set_for_sigmatch l in
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement
+ (Some (u,tyl),set_for_sigmatch) in
+ acc @ uris)
+ acc tfe)
+ else
+ (debug_print (lazy "normal treatment");
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement
+ (Some (u,[]),set_for_sigmatch)
+ in
+ acc @ uris))
+ predicates []
+ in
+(*
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement (None,all_constants_closed)
+ in
+*)
+ let uris = List.filter nonvar (List.map snd uris) in
+ let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
+ if apply_only then
+ List.filter (only all_constants_closed) uris
+ else uris
+;;
+
+let filter_out_predicate set ctx menv =
+ Constr.UriManagerSet.filter (fun u -> not (is_predicate u)) set
+;;
+
+let equations_for_goal ~(dbd:HSql.dbd) ?signature ((proof, goal) as _status) =
+(*
+ let to_string set =
+ "{\n" ^
+ (String.concat "\n"
+ (Constr.UriManagerSet.fold
+ (fun u l -> (" "^UriManager.string_of_uri u)::l) set []))
+ ^ "\n}"
+ in
+*)
+ let (_, metasenv, _subst, _, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let main, sig_constants =
+ match signature with
+ | None -> Constr.signature_of ty
+ | Some s -> s
+ in
+(* Printf.printf "\nsig_constants: %s\n\n" (to_string sig_constants); *)
+(* match main with *)
+(* None -> raise Goal_is_not_an_equation *)
+(* | Some (m,l) -> *)
+ let l =
+ let eq_URI =
+ match LibraryObjects.eq_URI () with
+ None -> None
+ | Some s ->
+ Some
+ (UriManager.uri_of_string
+ (UriManager.string_of_uri s ^ "#xpointer(1/1)"))
+ in
+ match eq_URI,main with
+ | Some eq_URI, Some (m, l) when UriManager.eq m eq_URI -> m::l
+ | _ -> []
+ in
+ (*Printf.printf "\nSome (m, l): %s, [%s]\n\n"
+ (UriManager.string_of_uri (List.hd l))
+ (String.concat "; " (List.map UriManager.string_of_uri (List.tl l)));
+ *)
+ (* if m == UriManager.uri_of_string HelmLibraryObjects.Logic.eq_XURI then ( *)
+ let set = signature_of_hypothesis context metasenv in
+ (* Printf.printf "\nsignature_of_hypothesis: %s\n\n" (to_string set); *)
+ let set = Constr.UriManagerSet.union set sig_constants in
+ let set = filter_out_predicate set context metasenv in
+ let set = close_with_types set metasenv context in
+ (* Printf.printf "\ndopo close_with_types: %s\n\n" (to_string set); *)
+ let set = close_with_constructors set metasenv context in
+ (* Printf.printf "\ndopo close_with_constructors: %s\n\n" (to_string set); *)
+ let set_for_sigmatch = List.fold_right Constr.UriManagerSet.remove l set in
+ let uris =
+ sigmatch ~dbd ~facts:false ~where:`Statement (main,set_for_sigmatch) in
+ let uris = List.filter nonvar (List.map snd uris) in
+ let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
+ let set = List.fold_right Constr.UriManagerSet.add l set in
+ let uris = List.filter (only set) uris in
+ uris
+ (* ) *)
+ (* else raise Goal_is_not_an_equation *)
+
+let experimental_hint
+ ~(dbd:HSql.dbd) ?(facts=false) ?signature ((proof, goal) as status) =
+ let (_, metasenv, _subst, _, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let (uris, (main, sig_constants)) =
+ match signature with
+ | Some signature ->
+ (sigmatch ~dbd ~facts signature, signature)
+ | None ->
+ (cmatch' ~dbd ~facts ty, Constr.signature_of ty)
+ in
+ let uris = List.filter nonvar (List.map snd uris) in
+ let uris = List.filter Hashtbl_equiv.not_a_duplicate uris in
+ let types_constants =
+ match main with
+ | None -> Constr.UriManagerSet.empty
+ | Some (main, types) ->
+ List.fold_right Constr.UriManagerSet.add (main :: types)
+ Constr.UriManagerSet.empty
+ in
+ let all_constants =
+ let hyp_and_sug =
+ Constr.UriManagerSet.union
+ (signature_of_hypothesis context metasenv)
+ sig_constants
+ in
+ let main =
+ match main with
+ | None -> Constr.UriManagerSet.empty
+ | Some (main,_) ->
+ let ty, _ =
+ CicTypeChecker.type_of_aux'
+ metasenv context (CicUtil.term_of_uri main) CicUniv.empty_ugraph
+ in
+ Constr.constants_of ty
+ in
+ Constr.UriManagerSet.union main hyp_and_sug
+ in
+(* Constr.UriManagerSet.iter debug_print hyp_constants; *)
+ let all_constants_closed = close_with_types all_constants metasenv context in
+ let other_constants =
+ Constr.UriManagerSet.diff all_constants_closed types_constants
+ in
+ debug_print (lazy "all_constants_closed");
+ if debug then Constr.UriManagerSet.iter (fun s -> debug_print (lazy (UriManager.string_of_uri s))) all_constants_closed;
+ debug_print (lazy "other_constants");
+ if debug then Constr.UriManagerSet.iter (fun s -> debug_print (lazy (UriManager.string_of_uri s))) other_constants;
+ let uris =
+ let pow = 2 ** (Constr.UriManagerSet.cardinal other_constants) in
+ if ((List.length uris < pow) or (pow <= 0))
+ then begin
+ debug_print (lazy "MetadataQuery: large sig, falling back to old method");
+ filter_uris_forward ~dbd (main, other_constants) uris
+ end else
+ filter_uris_backward ~dbd ~facts (main, other_constants) uris
+ in
+ let rec aux = function
+ | [] -> []
+ | uri :: tl ->
+ (let status' =
+ try
+ let (subst,(proof, goal_list)) =
+ (* debug_print (lazy ("STO APPLICANDO" ^ uri)); *)
+ apply_tac_verbose
+ ~term:(CicUtil.term_of_uri uri)
+ status
+ in
+ let goal_list =
+ List.stable_sort (compare_goal_list proof) goal_list
+ in
+ Some (uri, (subst,(proof, goal_list)))
+ with ProofEngineTypes.Fail _ -> None
+ in
+ match status' with
+ | None -> aux tl
+ | Some status' -> status' :: aux tl)
+ in
+ List.stable_sort
+ (fun (_,(_, (_, goals1))) (_,(_, (_, goals2))) ->
+ Pervasives.compare (List.length goals1) (List.length goals2))
+ (aux uris)
+
+let new_experimental_hint
+ ~(dbd:HSql.dbd) ?(facts=false) ?signature ~universe
+ ((proof, goal) as status)
+=
+ let (_, metasenv, _subst, _, _, _) = proof in
+ let (_, context, ty) = CicUtil.lookup_meta goal metasenv in
+ let (uris, (main, sig_constants)) =
+ match signature with
+ | Some signature ->
+ (sigmatch ~dbd ~facts signature, signature)
+ | None ->
+ (cmatch' ~dbd ~facts ty, Constr.signature_of ty) in
+ let universe =
+ List.fold_left
+ (fun res u -> Constr.UriManagerSet.add u res)
+ Constr.UriManagerSet.empty universe in
+ let uris =
+ List.fold_left
+ (fun res (_,u) -> Constr.UriManagerSet.add u res)
+ Constr.UriManagerSet.empty uris in
+ let uris = Constr.UriManagerSet.inter uris universe in
+ let uris = Constr.UriManagerSet.elements uris in
+ let rec aux = function
+ | [] -> []
+ | uri :: tl ->
+ (let status' =
+ try
+ let (subst,(proof, goal_list)) =
+ (* debug_print (lazy ("STO APPLICANDO" ^ uri)); *)
+ apply_tac_verbose
+ ~term:(CicUtil.term_of_uri uri)
+ status
+ in
+ let goal_list =
+ List.stable_sort (compare_goal_list proof) goal_list
+ in
+ Some (uri, (subst,(proof, goal_list)))
+ with ProofEngineTypes.Fail _ -> None
+ in
+ match status' with
+ | None -> aux tl
+ | Some status' -> status' :: aux tl)
+ in
+ List.stable_sort
+ (fun (_,(_, (_, goals1))) (_,(_, (_, goals2))) ->
+ Pervasives.compare (List.length goals1) (List.length goals2))
+ (aux uris)
+