src/Pure/Syntax/mixfix.ML
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(*  Title:      Pure/Syntax/mixfix.ML
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    Author:     Tobias Nipkow and Markus Wenzel, TU Muenchen
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Mixfix declarations, infixes, binders.
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*)
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signature BASIC_MIXFIX =
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sig
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  datatype mixfix =
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    NoSyn |
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    Mixfix of Input.source * int list * int * Position.range |
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    Infix of Input.source * int * Position.range |
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    Infixl of Input.source * int * Position.range |
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    Infixr of Input.source * int * Position.range |
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    Binder of Input.source * int * int * Position.range |
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    Structure of Position.range
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end;
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signature MIXFIX =
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sig
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  include BASIC_MIXFIX
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  val mixfix: string -> mixfix
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  val is_empty: mixfix -> bool
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  val equal: mixfix * mixfix -> bool
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  val range_of: mixfix -> Position.range
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  val pos_of: mixfix -> Position.T
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  val reset_pos: mixfix -> mixfix
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  val pretty_mixfix: mixfix -> Pretty.T
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  val mixfix_args: mixfix -> int
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  val default_constraint: mixfix -> typ
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  val make_type: int -> typ
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  val binder_name: string -> string
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  val syn_ext_types: (string * typ * mixfix) list -> Syntax_Ext.syn_ext
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  val syn_ext_consts: string list -> (string * typ * mixfix) list -> Syntax_Ext.syn_ext
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end;
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structure Mixfix: MIXFIX =
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struct
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(** mixfix declarations **)
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datatype mixfix =
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  NoSyn |
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  Mixfix of Input.source * int list * int * Position.range |
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  Infix of Input.source * int * Position.range |
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  Infixl of Input.source * int * Position.range |
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  Infixr of Input.source * int * Position.range |
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  Binder of Input.source * int * int * Position.range |
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  Structure of Position.range;
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fun mixfix s = Mixfix (Input.string s, [], 1000, Position.no_range);
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fun is_empty NoSyn = true
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  | is_empty _ = false;
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fun equal (NoSyn, NoSyn) = true
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  | equal (Mixfix (sy, ps, p, _), Mixfix (sy', ps', p', _)) =
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      Input.equal_content (sy, sy') andalso ps = ps' andalso p = p'
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  | equal (Infix (sy, p, _), Infix (sy', p', _)) = Input.equal_content (sy, sy') andalso p = p'
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  | equal (Infixl (sy, p, _), Infixl (sy', p', _)) = Input.equal_content (sy, sy') andalso p = p'
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  | equal (Infixr (sy, p, _), Infixr (sy', p', _)) = Input.equal_content (sy, sy') andalso p = p'
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  | equal (Binder (sy, p, q, _), Binder (sy', p', q', _)) =
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      Input.equal_content (sy, sy') andalso p = p' andalso q = q'
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  | equal (Structure _, Structure _) = true
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  | equal _ = false;
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fun range_of NoSyn = Position.no_range
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  | range_of (Mixfix (_, _, _, range)) = range
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  | range_of (Infix (_, _, range)) = range
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  | range_of (Infixl (_, _, range)) = range
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  | range_of (Infixr (_, _, range)) = range
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  | range_of (Binder (_, _, _, range)) = range
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  | range_of (Structure range) = range;
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val pos_of = Position.range_position o range_of;
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fun reset_pos NoSyn = NoSyn
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  | reset_pos (Mixfix (sy, ps, p, _)) = Mixfix (Input.reset_pos sy, ps, p, Position.no_range)
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  | reset_pos (Infix (sy, p, _)) = Infix (Input.reset_pos sy, p, Position.no_range)
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  | reset_pos (Infixl (sy, p, _)) = Infixl (Input.reset_pos sy, p, Position.no_range)
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  | reset_pos (Infixr (sy, p, _)) = Infixr (Input.reset_pos sy, p, Position.no_range)
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  | reset_pos (Binder (sy, p, q, _)) = Binder (Input.reset_pos sy, p, q, Position.no_range)
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  | reset_pos (Structure _) = Structure Position.no_range;
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(* pretty_mixfix *)
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local
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val quoted = Pretty.quote o Pretty.str o Input.source_content;
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val keyword = Pretty.keyword2;
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val parens = Pretty.enclose "(" ")";
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val brackets = Pretty.enclose "[" "]";
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val int = Pretty.str o string_of_int;
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in
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fun pretty_mixfix NoSyn = Pretty.str ""
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  | pretty_mixfix (Mixfix (s, ps, p, _)) =
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      parens
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        (Pretty.breaks
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          (quoted s ::
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            (if null ps then [] else [brackets (Pretty.commas (map int ps))]) @
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            (if p = 1000 then [] else [int p])))
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  | pretty_mixfix (Infix (s, p, _)) = parens (Pretty.breaks [keyword "infix", quoted s, int p])
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  | pretty_mixfix (Infixl (s, p, _)) = parens (Pretty.breaks [keyword "infixl", quoted s, int p])
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  | pretty_mixfix (Infixr (s, p, _)) = parens (Pretty.breaks [keyword "infixr", quoted s, int p])
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  | pretty_mixfix (Binder (s, p1, p2, _)) =
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      parens
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        (Pretty.breaks
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          ([keyword "binder", quoted s] @ (if p1 = p2 then [] else [brackets [int p1]]) @ [int p2]))
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  | pretty_mixfix (Structure _) = parens [keyword "structure"];
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end;
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(* syntax specifications *)
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fun mixfix_args NoSyn = 0
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  | mixfix_args (Mixfix (sy, _, _, _)) = Syntax_Ext.mixfix_args sy
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  | mixfix_args (Infix (sy, _, _)) = 2 + Syntax_Ext.mixfix_args sy
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  | mixfix_args (Infixl (sy, _, _)) = 2 + Syntax_Ext.mixfix_args sy
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  | mixfix_args (Infixr (sy, _, _)) = 2 + Syntax_Ext.mixfix_args sy
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  | mixfix_args (Binder _) = 1
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  | mixfix_args (Structure _) = 0;
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(* default type constraint *)
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fun default_constraint (Binder _) = (dummyT --> dummyT) --> dummyT
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  | default_constraint mx = replicate (mixfix_args mx) dummyT ---> dummyT;
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(* syn_ext_types *)
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val typeT = Type ("type", []);
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fun make_type n = replicate n typeT ---> typeT;
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fun syn_ext_types type_decls =
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  let
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    fun mk_infix sy ty t p1 p2 p3 pos =
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      Syntax_Ext.Mfix
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        (Symbol_Pos.explode0 "(_ " @ Input.source_explode sy @ Symbol_Pos.explode0 "/ _)",
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          ty, t, [p1, p2], p3, pos);
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    fun mfix_of (mfix as (_, _, mx)) =
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      (case mfix of
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        (_, _, NoSyn) => NONE
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      | (t, ty, Mixfix (sy, ps, p, _)) =>
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          SOME (Syntax_Ext.Mfix (Input.source_explode sy, ty, t, ps, p, pos_of mx))
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      | (t, ty, Infix (sy, p, _)) => SOME (mk_infix sy ty t (p + 1) (p + 1) p (pos_of mx))
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      | (t, ty, Infixl (sy, p, _)) => SOME (mk_infix sy ty t p (p + 1) p (pos_of mx))
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      | (t, ty, Infixr (sy, p, _)) => SOME (mk_infix sy ty t (p + 1) p p (pos_of mx))
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      | (t, _, _) => error ("Bad mixfix declaration for " ^ quote t ^ Position.here (pos_of mx)));
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    fun check_args (_, ty, mx) (SOME (Syntax_Ext.Mfix (sy, _, _, _, _, _))) =
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          if length (Term.binder_types ty) = Syntax_Ext.mfix_args sy then ()
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          else
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            error ("Bad number of type constructor arguments in mixfix annotation" ^
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              Position.here (pos_of mx))
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      | check_args _ NONE = ();
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    val mfix = map mfix_of type_decls;
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    val _ = map2 check_args type_decls mfix;
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    val consts = map (fn (t, _, _) => (t, "")) type_decls;
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  in Syntax_Ext.syn_ext (map_filter I mfix) consts ([], [], [], []) ([], []) end;
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(* syn_ext_consts *)
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val binder_stamp = stamp ();
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val binder_name = suffix "_binder";
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fun mk_prefix sy =
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  let
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    fun star1 sys = (fst(hd sys) = "*");
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    val sy' = Input.source_explode (Input.reset_pos sy); 
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    val lpar = Symbol_Pos.explode0 ("'(" ^ (if star1 sy' then " " else ""));
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    val rpar = Symbol_Pos.explode0 ((if star1(rev sy') then " " else "") ^ "')")
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 in lpar @ sy' @ rpar end
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fun syn_ext_consts logical_types const_decls =
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  let
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    fun mk_infix sy ty c p1 p2 p3 pos =
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      [Syntax_Ext.Mfix (mk_prefix sy, ty, c, [], 1000, Position.none),
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       Syntax_Ext.Mfix
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        (Symbol_Pos.explode0 "(_ " @ Input.source_explode sy @ Symbol_Pos.explode0 "/ _)",
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          ty, c, [p1, p2], p3, pos)];
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    fun binder_typ _ (Type ("fun", [Type ("fun", [_, ty2]), ty3])) =
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          [Type ("idts", []), ty2] ---> ty3
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      | binder_typ c _ = error ("Bad type of binder: " ^ quote c);
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    fun mfix_of (mfix as (_, _, mx)) =
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      (case mfix of
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        (_, _, NoSyn) => []
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      | (c, ty, Mixfix (sy, ps, p, _)) =>
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          [Syntax_Ext.Mfix (Input.source_explode sy, ty, c, ps, p, pos_of mx)]
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      | (c, ty, Infix (sy, p, _)) => mk_infix sy ty c (p + 1) (p + 1) p (pos_of mx)
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      | (c, ty, Infixl (sy, p, _)) => mk_infix sy ty c p (p + 1) p (pos_of mx)
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      | (c, ty, Infixr (sy, p, _)) => mk_infix sy ty c (p + 1) p p (pos_of mx)
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      | (c, ty, Binder (sy, p, q, _)) =>
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          [Syntax_Ext.Mfix
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            (Symbol_Pos.explode0 "(3" @ Input.source_explode sy @ Symbol_Pos.explode0 "_./ _)",
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              binder_typ c ty, (binder_name c), [0, p], q, pos_of mx)]
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      | (c, _, mx) =>
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          error ("Bad mixfix declaration for " ^ quote c ^ Position.here (pos_of mx)));
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    fun binder (c, _, Binder _) = SOME (binder_name c, c)
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      | binder _ = NONE;
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    val mfix = maps mfix_of const_decls;
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    val binders = map_filter binder const_decls;
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    val binder_trs = binders
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      |> map (Syntax_Ext.stamp_trfun binder_stamp o Syntax_Trans.mk_binder_tr);
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    val binder_trs' = binders
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      |> map (Syntax_Ext.stamp_trfun binder_stamp o
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          apsnd Syntax_Trans.non_typed_tr' o Syntax_Trans.mk_binder_tr' o swap);
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    val consts = binders @ map (fn (c, _, _) => (c, "")) const_decls;
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  in
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    Syntax_Ext.syn_ext' logical_types mfix consts ([], binder_trs, binder_trs', []) ([], [])
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  end;
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end;
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structure Basic_Mixfix: BASIC_MIXFIX = Mixfix;
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open Basic_Mixfix;