+let meta_names_of_term term =
+ let rec names = ref [] in
+ let add_name n =
+ if List.mem n !names then ()
+ else names := n :: !names
+ in
+ let rec aux = function
+ | AttributedTerm (_, term) -> aux term
+ | Appl terms -> List.iter aux terms
+ | Binder (_, _, body) -> aux body
+ | Case (term, indty, outty_opt, patterns) ->
+ aux term ;
+ aux_opt outty_opt ;
+ List.iter aux_branch patterns
+ | LetIn (_, t1, t2) ->
+ aux t1 ;
+ aux t2
+ | LetRec (_, definitions, body) ->
+ List.iter aux_definition definitions ;
+ aux body
+ | Uri (_, Some substs) -> aux_substs substs
+ | Ident (_, Some substs) -> aux_substs substs
+ | Meta (_, substs) -> aux_meta_substs substs
+
+ | Implicit
+ | Ident _
+ | Num _
+ | Sort _
+ | Symbol _
+ | Uri _
+ | UserInput -> ()
+
+ | Magic magic -> aux_magic magic
+ | Variable var -> aux_variable var
+
+ | _ -> assert false
+ and aux_opt = function
+ | Some term -> aux term
+ | None -> ()
+ and aux_capture_var (_, ty_opt) = aux_opt ty_opt
+ and aux_branch (pattern, term) =
+ aux_pattern pattern ;
+ aux term
+ and aux_pattern (head, vars) =
+ List.iter aux_capture_var vars
+ and aux_definition (var, term, i) =
+ aux_capture_var var ;
+ aux term
+ and aux_substs substs = List.iter (fun (_, term) -> aux term) substs
+ and aux_meta_substs meta_substs = List.iter aux_opt meta_substs
+ and aux_variable = function
+ | NumVar name -> add_name name
+ | IdentVar name -> add_name name
+ | TermVar name -> add_name name
+ | FreshVar _ -> ()
+ | Ascription _ -> assert false
+ and aux_magic = function
+ | Default (t1, t2)
+ | Fold (_, t1, _, t2) ->
+ aux t1 ;
+ aux t2
+ | If (t1, t2, t3) ->
+ aux t1 ;
+ aux t2 ;
+ aux t3
+ | Fail -> ()
+ | _ -> assert false
+ in
+ aux term ;
+ !names
+
+let rectangular matrix =
+ let columns = Array.length matrix.(0) in
+ try
+ Array.iter (fun a -> if Array.length a <> columns then raise Exit) matrix;
+ true
+ with Exit -> false
+
+let ncombine ll =
+ let matrix = Array.of_list (List.map Array.of_list ll) in
+ assert (rectangular matrix);
+ let rows = Array.length matrix in
+ let columns = Array.length matrix.(0) in
+ let lists = ref [] in
+ for j = 0 to columns - 1 do
+ let l = ref [] in
+ for i = 0 to rows - 1 do
+ l := matrix.(i).(j) :: !l
+ done;
+ lists := List.rev !l :: !lists
+ done;
+ List.rev !lists
+
+let string_of_literal = function
+ | `Symbol s
+ | `Keyword s
+ | `Number s -> s
+
+let boxify = function
+ | [ a ] -> a
+ | l -> Layout (Box ((H, false, false), l))
+
+let unboxify = function
+ | Layout (Box ((H, false, false), [ a ])) -> a
+ | l -> l
+
+let group = function
+ | [ a ] -> a
+ | l -> Layout (Group l)
+
+let ungroup =
+ let rec aux acc =
+ function
+ [] -> List.rev acc
+ | Layout (Group terms) :: terms' -> aux acc (terms @ terms')
+ | term :: terms -> aux (term :: acc) terms
+ in
+ aux []
+
+let dress sauce =
+ let rec aux =
+ function
+ | [] -> []
+ | [hd] -> [hd]
+ | hd :: tl -> hd :: sauce :: aux tl
+ in
+ aux
+
+let find_appl_pattern_uris ap =
+ let rec aux acc =
+ function
+ | UriPattern uri ->
+ (try
+ ignore (List.find (fun uri' -> UriManager.eq uri uri') acc);
+ acc
+ with Not_found -> uri :: acc)
+ | ImplicitPattern
+ | VarPattern _ -> acc
+ | ApplPattern apl -> List.fold_left aux acc apl
+ in
+ aux [] ap
+
+let rec find_branch =
+ function
+ Magic (If (_, Magic Fail, t)) -> find_branch t
+ | Magic (If (_, t, _)) -> find_branch t
+ | t -> t
+
+let cic_name_of_name = function
+ | CicNotationPt.Ident ("_", None) -> Cic.Anonymous
+ | CicNotationPt.Ident (name, None) -> Cic.Name name
+ | _ -> assert false
+
+let name_of_cic_name = function
+ | Cic.Name s -> CicNotationPt.Ident (s, None)
+ | Cic.Anonymous -> CicNotationPt.Ident ("_", None)
+
+let fresh_index = ref ~-1
+
+type notation_id = int
+
+let fresh_id () =
+ incr fresh_index;
+ !fresh_index
+
+ (* TODO ensure that names generated by fresh_var do not clash with user's *)
+let fresh_name () = "fresh" ^ string_of_int (fresh_id ())
+