src/Pure/Syntax/printer.ML
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moved type syntax translations to syn_trans.ML;
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(*  Title:      Pure/Syntax/printer.ML
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    Author:     Tobias Nipkow and Markus Wenzel, TU Muenchen
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Pretty printing of asts, terms, types and print (ast) translation.
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*)
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signature PRINTER0 =
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sig
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  val show_brackets_default: bool Unsynchronized.ref
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  val show_brackets_raw: Config.raw
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  val show_brackets: bool Config.T
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  val show_types_default: bool Unsynchronized.ref
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  val show_types_raw: Config.raw
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  val show_types: bool Config.T
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  val show_sorts_default: bool Unsynchronized.ref
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  val show_sorts_raw: Config.raw
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  val show_sorts: bool Config.T
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  val show_free_types: bool Config.T
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  val show_all_types: bool Config.T
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  val show_structs_raw: Config.raw
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  val show_structs: bool Config.T
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  val show_question_marks_default: bool Unsynchronized.ref
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  val show_question_marks_raw: Config.raw
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  val show_question_marks: bool Config.T
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  val pretty_priority: int Config.T
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end;
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signature PRINTER =
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sig
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  include PRINTER0
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  type prtabs
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  val empty_prtabs: prtabs
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  val update_prtabs: string -> Syn_Ext.xprod list -> prtabs -> prtabs
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  val remove_prtabs: string -> Syn_Ext.xprod list -> prtabs -> prtabs
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  val merge_prtabs: prtabs -> prtabs -> prtabs
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  val pretty_term_ast: {extern_class: string -> xstring, extern_type: string -> xstring,
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      extern_const: string -> xstring} -> Proof.context -> bool -> prtabs ->
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    (string -> Proof.context -> Ast.ast list -> Ast.ast) ->
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    (string -> (Proof.context -> string -> Pretty.T) option) -> Ast.ast -> Pretty.T list
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  val pretty_typ_ast: {extern_class: string -> xstring, extern_type: string -> xstring} ->
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    Proof.context -> bool -> prtabs ->
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    (string -> Proof.context -> Ast.ast list -> Ast.ast) ->
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    (string -> (Proof.context -> string -> Pretty.T) option) -> Ast.ast -> Pretty.T list
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end;
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structure Printer: PRINTER =
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struct
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(** options for printing **)
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val show_brackets_default = Unsynchronized.ref false;
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val show_brackets_raw =
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  Config.declare "show_brackets" (fn _ => Config.Bool (! show_brackets_default));
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val show_brackets = Config.bool show_brackets_raw;
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val show_types_default = Unsynchronized.ref false;
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val show_types_raw = Config.declare "show_types" (fn _ => Config.Bool (! show_types_default));
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val show_types = Config.bool show_types_raw;
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val show_sorts_default = Unsynchronized.ref false;
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val show_sorts_raw = Config.declare "show_sorts" (fn _ => Config.Bool (! show_sorts_default));
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val show_sorts = Config.bool show_sorts_raw;
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val show_free_types = Config.bool (Config.declare "show_free_types" (fn _ => Config.Bool true));
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val show_all_types = Config.bool (Config.declare "show_all_types" (fn _ => Config.Bool false));
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val show_structs_raw = Config.declare "show_structs" (fn _ => Config.Bool false);
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val show_structs = Config.bool show_structs_raw;
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val show_question_marks_default = Unsynchronized.ref true;
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val show_question_marks_raw =
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  Config.declare "show_question_marks" (fn _ => Config.Bool (! show_question_marks_default));
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val show_question_marks = Config.bool show_question_marks_raw;
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(** type prtabs **)
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datatype symb =
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  Arg of int |
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  TypArg of int |
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  String of string |
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  Space of string |
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  Break of int |
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  Block of int * symb list;
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type prtabs = (string * ((symb list * int * int) list) Symtab.table) list;
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fun mode_tab prtabs mode = the_default Symtab.empty (AList.lookup (op =) prtabs mode);
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fun mode_tabs prtabs modes = map_filter (AList.lookup (op =) prtabs) (modes @ [""]);
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(* xprod_to_fmt *)
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fun xprod_to_fmt (Syn_Ext.XProd (_, _, "", _)) = NONE
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  | xprod_to_fmt (Syn_Ext.XProd (_, xsymbs, const, pri)) =
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      let
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        fun arg (s, p) =
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          (if s = "type" then TypArg else Arg)
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          (if Lexicon.is_terminal s then Syn_Ext.max_pri else p);
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        fun xsyms_to_syms (Syn_Ext.Delim s :: xsyms) =
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              apfst (cons (String s)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syn_Ext.Argument s_p :: xsyms) =
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              apfst (cons (arg s_p)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syn_Ext.Space s :: xsyms) =
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              apfst (cons (Space s)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syn_Ext.Bg i :: xsyms) =
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              let
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                val (bsyms, xsyms') = xsyms_to_syms xsyms;
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                val (syms, xsyms'') = xsyms_to_syms xsyms';
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              in
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                (Block (i, bsyms) :: syms, xsyms'')
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              end
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          | xsyms_to_syms (Syn_Ext.Brk i :: xsyms) =
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              apfst (cons (Break i)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syn_Ext.En :: xsyms) = ([], xsyms)
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          | xsyms_to_syms [] = ([], []);
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        fun nargs (Arg _ :: syms) = nargs syms + 1
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          | nargs (TypArg _ :: syms) = nargs syms + 1
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          | nargs (String _ :: syms) = nargs syms
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          | nargs (Space _ :: syms) = nargs syms
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          | nargs (Break _ :: syms) = nargs syms
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          | nargs (Block (_, bsyms) :: syms) = nargs syms + nargs bsyms
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          | nargs [] = 0;
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      in
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        (case xsyms_to_syms xsymbs of
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          (symbs, []) => SOME (const, (symbs, nargs symbs, pri))
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        | _ => raise Fail "Unbalanced pretty-printing blocks")
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      end;
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(* empty, extend, merge prtabs *)
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val empty_prtabs = [];
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fun update_prtabs mode xprods prtabs =
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  let
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    val fmts = map_filter xprod_to_fmt xprods;
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    val tab' = fold (Symtab.update_list (op =)) fmts (mode_tab prtabs mode);
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  in AList.update (op =) (mode, tab') prtabs end;
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fun remove_prtabs mode xprods prtabs =
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  let
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    val tab = mode_tab prtabs mode;
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    val fmts = map_filter (fn xprod as Syn_Ext.XProd (_, _, c, _) =>
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      if null (Symtab.lookup_list tab c) then NONE
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      else xprod_to_fmt xprod) xprods;
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    val tab' = fold (Symtab.remove_list (op =)) fmts tab;
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  in AList.update (op =) (mode, tab') prtabs end;
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fun merge_prtabs prtabs1 prtabs2 =
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  let
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    val modes = distinct (op =) (map fst (prtabs1 @ prtabs2));
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    fun merge m = (m, Symtab.merge_list (op =) (mode_tab prtabs1 m, mode_tab prtabs2 m));
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  in map merge modes end;
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(** pretty term or typ asts **)
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fun is_chain [Block (_, pr)] = is_chain pr
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  | is_chain [Arg _] = true
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  | is_chain _  = false;
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val pretty_priority = Config.int (Config.declare "Syntax.pretty_priority" (K (Config.Int 0)));
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fun pretty extern ctxt tabs trf tokentrf type_mode curried ast0 =
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  let
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    val {extern_class, extern_type, extern_const} = extern;
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    val show_brackets = Config.get ctxt show_brackets;
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    fun token_trans a x =
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      (case tokentrf a of
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        NONE =>
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          if member (op =) Syn_Ext.standard_token_classes a
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          then SOME (Pretty.str x) else NONE
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      | SOME f => SOME (f ctxt x));
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    (*default applications: prefix / postfix*)
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    val appT =
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      if type_mode then Syn_Trans.tappl_ast_tr'
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      else if curried then Syn_Trans.applC_ast_tr'
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      else Syn_Trans.appl_ast_tr';
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    fun synT _ ([], args) = ([], args)
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      | synT markup (Arg p :: symbs, t :: args) =
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          let val (Ts, args') = synT markup (symbs, args);
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          in (astT (t, p) @ Ts, args') end
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      | synT markup (TypArg p :: symbs, t :: args) =
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          let
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            val (Ts, args') = synT markup (symbs, args);
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          in
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            if type_mode then (astT (t, p) @ Ts, args')
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            else
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              (pretty extern (Config.put pretty_priority p ctxt)
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                tabs trf tokentrf true curried t @ Ts, args')
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          end
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      | synT markup (String s :: symbs, args) =
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          let val (Ts, args') = synT markup (symbs, args);
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          in (markup (Pretty.str s) :: Ts, args') end
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      | synT markup (Space s :: symbs, args) =
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          let val (Ts, args') = synT markup (symbs, args);
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          in (Pretty.str s :: Ts, args') end
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      | synT markup (Block (i, bsymbs) :: symbs, args) =
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          let
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            val (bTs, args') = synT markup (bsymbs, args);
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            val (Ts, args'') = synT markup (symbs, args');
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            val T =
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              if i < 0 then Pretty.unbreakable (Pretty.block bTs)
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              else Pretty.blk (i, bTs);
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          in (T :: Ts, args'') end
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      | synT markup (Break i :: symbs, args) =
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          let
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            val (Ts, args') = synT markup (symbs, args);
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            val T = if i < 0 then Pretty.fbrk else Pretty.brk i;
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          in (T :: Ts, args') end
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    and parT markup (pr, args, p, p': int) = #1 (synT markup
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          (if p > p' orelse (show_brackets andalso p' <> Syn_Ext.max_pri andalso not (is_chain pr))
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            then [Block (1, Space "(" :: pr @ [Space ")"])]
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            else pr, args))
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    and atomT a = a |> Lexicon.unmark
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     {case_class = fn c => Pretty.mark (Markup.tclass c) (Pretty.str (extern_class c)),
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      case_type = fn c => Pretty.mark (Markup.tycon c) (Pretty.str (extern_type c)),
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      case_const = fn c => Pretty.mark (Markup.const c) (Pretty.str (extern_const c)),
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      case_fixed = fn x => the (token_trans "_free" x),
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      case_default = Pretty.str}
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    and prefixT (_, a, [], _) = [atomT a]
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      | prefixT (c, _, args, p) = astT (appT (c, args), p)
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    and splitT 0 ([x], ys) = (x, ys)
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      | splitT 0 (rev_xs, ys) = (Ast.Appl (rev rev_xs), ys)
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      | splitT n (rev_xs, y :: ys) = splitT (n - 1) (y :: rev_xs, ys)
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    and combT (tup as (c, a, args, p)) =
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      let
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        val nargs = length args;
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        val markup = a |> Lexicon.unmark
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         {case_class = Pretty.mark o Markup.tclass,
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          case_type = Pretty.mark o Markup.tycon,
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          case_const = Pretty.mark o Markup.const,
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          case_fixed = Pretty.mark o Markup.fixed,
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          case_default = K I};
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        (*find matching table entry, or print as prefix / postfix*)
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        fun prnt ([], []) = prefixT tup
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          | prnt ([], tb :: tbs) = prnt (Symtab.lookup_list tb a, tbs)
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          | prnt ((pr, n, p') :: prnps, tbs) =
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              if nargs = n then parT markup (pr, args, p, p')
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              else if nargs > n andalso not type_mode then
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                astT (appT (splitT n ([c], args)), p)
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              else prnt (prnps, tbs);
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      in
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        (case tokentrT a args of
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          SOME prt => [prt]
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        | NONE => astT (trf a ctxt args, p) handle Match => prnt ([], tabs))
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      end
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    and tokentrT a [Ast.Variable x] = token_trans a x
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      | tokentrT _ _ = NONE
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    and astT (c as Ast.Constant a, p) = combT (c, a, [], p)
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      | astT (ast as Ast.Variable x, _) = [Ast.pretty_ast ast]
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      | astT (Ast.Appl ((c as Ast.Constant a) :: (args as _ :: _)), p) = combT (c, a, args, p)
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      | astT (Ast.Appl (f :: (args as _ :: _)), p) = astT (appT (f, args), p)
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      | astT (ast as Ast.Appl _, _) = raise Ast.AST ("pretty: malformed ast", [ast]);
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  in astT (ast0, Config.get ctxt pretty_priority) end;
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(* pretty_term_ast *)
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fun pretty_term_ast extern ctxt curried prtabs trf tokentrf ast =
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  pretty extern ctxt (mode_tabs prtabs (print_mode_value ())) trf tokentrf false curried ast;
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(* pretty_typ_ast *)
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fun pretty_typ_ast {extern_class, extern_type} ctxt _ prtabs trf tokentrf ast =
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  pretty {extern_class = extern_class, extern_type = extern_type, extern_const = I}
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    ctxt (mode_tabs prtabs (print_mode_value ())) trf tokentrf true false ast;
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end;