in
find_in_roots roots
+(** create a pattern from a term and a list of subterms.
+* the pattern is granted to have a ? for every subterm that has no selected
+* subterms
+* @param equality equality function used while walking the term. Defaults to
+* physical equality (==) *)
+let pattern_of ?(equality=(==)) ~term terms =
+ let (===) x y = equality x y in
+ let not_found = false, Cic.Implicit None in
+ let rec aux t =
+ match t with
+ | t when List.exists (fun t' -> t === t') terms ->
+ true,Cic.Implicit (Some `Hole)
+ | Cic.Var (uri, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true,Cic.Var (uri, subst)
+ else
+ not_found
+ | Cic.Meta (i, ctxt) ->
+ let b,ctxt =
+ List.fold_right
+ (fun e (b,ctxt) ->
+ match e with
+ None -> b,None::ctxt
+ | Some t -> let bt,t = aux t in b||bt ,Some t::ctxt
+ ) ctxt (false,[])
+ in
+ if b then
+ true,Cic.Meta (i, ctxt)
+ else
+ not_found
+ | Cic.Cast (te, ty) ->
+ let b1,te = aux te in
+ let b2,ty = aux ty in
+ if b1||b2 then true,Cic.Cast (te, ty)
+ else
+ not_found
+ | Cic.Prod (name, s, t) ->
+ let b1,s = aux s in
+ let b2,t = aux t in
+ if b1||b2 then
+ true, Cic.Prod (name, s, t)
+ else
+ not_found
+ | Cic.Lambda (name, s, t) ->
+ let b1,s = aux s in
+ let b2,t = aux t in
+ if b1||b2 then
+ true, Cic.Lambda (name, s, t)
+ else
+ not_found
+ | Cic.LetIn (name, s, t) ->
+ let b1,s = aux s in
+ let b2,t = aux t in
+ if b1||b2 then
+ true, Cic.LetIn (name, s, t)
+ else
+ not_found
+ | Cic.Appl terms ->
+ let b,terms =
+ List.fold_right
+ (fun t (b,terms) ->
+ let bt,t = aux t in
+ b||bt,t::terms
+ ) terms (false,[])
+ in
+ if b then
+ true,Cic.Appl terms
+ else
+ not_found
+ | Cic.Const (uri, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true, Cic.Const (uri, subst)
+ else
+ not_found
+ | Cic.MutInd (uri, tyno, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true, Cic.MutInd (uri, tyno, subst)
+ else
+ not_found
+ | Cic.MutConstruct (uri, tyno, consno, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true, Cic.MutConstruct (uri, tyno, consno, subst)
+ else
+ not_found
+ | Cic.MutCase (uri, tyno, outty, t, pat) ->
+ let b1,outty = aux outty in
+ let b2,t = aux t in
+ let b3,pat =
+ List.fold_right
+ (fun t (b,pat) ->
+ let bt,t = aux t in
+ bt||b,t::pat
+ ) pat (false,[])
+ in
+ if b1 || b2 || b3 then
+ true, Cic.MutCase (uri, tyno, outty, t, pat)
+ else
+ not_found
+ | Cic.Fix (funno, funs) ->
+ let b,funs =
+ List.fold_right
+ (fun (name, i, ty, bo) (b,funs) ->
+ let b1,ty = aux ty in
+ let b2,bo = aux bo in
+ b||b1||b2, (name, i, ty, bo)::funs) funs (false,[])
+ in
+ if b then
+ true, Cic.Fix (funno, funs)
+ else
+ not_found
+ | Cic.CoFix (funno, funs) ->
+ let b,funs =
+ List.fold_right
+ (fun (name, ty, bo) (b,funs) ->
+ let b1,ty = aux ty in
+ let b2,bo = aux bo in
+ b||b1||b2, (name, ty, bo)::funs) funs (false,[])
+ in
+ if b then
+ true, Cic.CoFix (funno, funs)
+ else
+ not_found
+ | Cic.Rel _
+ | Cic.Sort _
+ | Cic.Implicit _ -> not_found
+ and aux_subst subst =
+ List.fold_right
+ (fun (uri, t) (b,subst) ->
+ let b1,t = aux t in
+ b||b1,(uri, t)::subst) subst (false,[])
+ in
+ snd (aux term)
+
exception Fail of string
-(** select metasenv conjecture pattern
-* select all subterms of [conjecture] matching [pattern].
-* It returns the set of matched terms (that can be compared using physical
-* equality to the subterms of [conjecture]) together with their contexts.
-* The representation of the set mimics the ProofEngineTypes.pattern type:
-* a list of hypothesis (names of) together with the list of its matched
-* subterms (and their contexts) + the list of matched subterms of the
-* with their context conclusion. Note: in the result the list of hypothesis
-* has an entry for each entry in the context and in the same order.
-* Of course the list of terms (with their context) associated to the
-* hypothesis name may be empty. *)
-let select ~metasenv ~conjecture:(_,context,ty) ~pattern:(what,hyp_patterns,goal_pattern) =
- let find_pattern_for name =
- try Some (snd (List.find (fun (n, pat) -> Cic.Name n = name) hyp_patterns))
- with Not_found -> None in
- let ty_terms = select_in_term ~context ~term:ty ~pattern:(what,goal_pattern) in
- let context_len = List.length context in
- let context_terms =
- fst
- (List.fold_right
- (fun entry (res,context) ->
- match entry with
- None -> (None::res),(None::context)
- | Some (name,Cic.Decl term) ->
- (match find_pattern_for name with
- | None -> ((Some (`Decl []))::res),(entry::context)
- | Some pat ->
- try
- let what =
- match what with
- None -> None
- | Some what ->
- let what,subst',metasenv' =
- CicMetaSubst.delift_rels [] metasenv
- (context_len - List.length context) what
- in
- assert (subst' = []);
- assert (metasenv' = metasenv);
- Some what in
- let terms = select_in_term ~context ~term ~pattern:(what,pat) in
- ((Some (`Decl terms))::res),(entry::context)
- with
- CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
- raise
- (Fail
- ("The term the user wants to convert is not closed " ^
- "in the context of the position of the substitution.")))
- | Some (name,Cic.Def (bo, ty)) ->
- (match find_pattern_for name with
- | None ->
- let selected_ty= match ty with None -> None | Some _ -> Some [] in
- ((Some (`Def ([],selected_ty)))::res),(entry::context)
- | Some pat ->
- try
- let what =
- match what with
- None -> None
- | Some what ->
- let what,subst',metasenv' =
- CicMetaSubst.delift_rels [] metasenv
- (context_len - List.length context) what
- in
- assert (subst' = []);
- assert (metasenv' = metasenv);
- Some what in
- let terms_bo =
- select_in_term ~context ~term:bo ~pattern:(what,pat) in
- let terms_ty =
- match ty with
- None -> None
- | Some ty ->
- Some (select_in_term ~context ~term:ty ~pattern:(what,pat))
- in
- ((Some (`Def (terms_bo,terms_ty)))::res),(entry::context)
- with
- CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
- raise
- (Fail
- ("The term the user wants to convert is not closed " ^
- "in the context of the position of the substitution.")))
- ) context ([],[]))
- in
- context_terms, ty_terms
+ (** select metasenv conjecture pattern
+ * select all subterms of [conjecture] matching [pattern].
+ * It returns the set of matched terms (that can be compared using physical
+ * equality to the subterms of [conjecture]) together with their contexts.
+ * The representation of the set mimics the ProofEngineTypes.pattern type:
+ * a list of hypothesis (names of) together with the list of its matched
+ * subterms (and their contexts) + the list of matched subterms of the
+ * with their context conclusion. Note: in the result the list of hypothesis
+ * has an entry for each entry in the context and in the same order.
+ * Of course the list of terms (with their context) associated to the
+ * hypothesis name may be empty. *)
+ let select ~metasenv ~conjecture:(_,context,ty) ~pattern:(what,hyp_patterns,goal_pattern) =
+ let find_pattern_for name =
+ try Some (snd (List.find (fun (n, pat) -> Cic.Name n = name) hyp_patterns))
+ with Not_found -> None in
+ let ty_terms = select_in_term ~context ~term:ty ~pattern:(what,goal_pattern) in
+ let context_len = List.length context in
+ let context_terms =
+ fst
+ (List.fold_right
+ (fun entry (res,context) ->
+ match entry with
+ None -> (None::res),(None::context)
+ | Some (name,Cic.Decl term) ->
+ (match find_pattern_for name with
+ | None -> ((Some (`Decl []))::res),(entry::context)
+ | Some pat ->
+ try
+ let what =
+ match what with
+ None -> None
+ | Some what ->
+ let what,subst',metasenv' =
+ CicMetaSubst.delift_rels [] metasenv
+ (context_len - List.length context) what
+ in
+ assert (subst' = []);
+ assert (metasenv' = metasenv);
+ Some what in
+ let terms = select_in_term ~context ~term ~pattern:(what,pat) in
+ ((Some (`Decl terms))::res),(entry::context)
+ with
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
+ raise
+ (Fail
+ ("The term the user wants to convert is not closed " ^
+ "in the context of the position of the substitution.")))
+ | Some (name,Cic.Def (bo, ty)) ->
+ (match find_pattern_for name with
+ | None ->
+ let selected_ty= match ty with None -> None | Some _ -> Some [] in
+ ((Some (`Def ([],selected_ty)))::res),(entry::context)
+ | Some pat ->
+ try
+ let what =
+ match what with
+ None -> None
+ | Some what ->
+ let what,subst',metasenv' =
+ CicMetaSubst.delift_rels [] metasenv
+ (context_len - List.length context) what
+ in
+ assert (subst' = []);
+ assert (metasenv' = metasenv);
+ Some what in
+ let terms_bo =
+ select_in_term ~context ~term:bo ~pattern:(what,pat) in
+ let terms_ty =
+ match ty with
+ None -> None
+ | Some ty ->
+ Some (select_in_term ~context ~term:ty ~pattern:(what,pat))
+ in
+ ((Some (`Def (terms_bo,terms_ty)))::res),(entry::context)
+ with
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
+ raise
+ (Fail
+ ("The term the user wants to convert is not closed " ^
+ "in the context of the position of the substitution.")))
+ ) context ([],[]))
+ in
+ context_terms, ty_terms
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