src/Pure/Syntax/printer.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 BASIC_PRINTER =
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sig
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  val show_brackets: bool Config.T
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  val show_types: bool Config.T
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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_markup: bool Config.T
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  val show_structs: bool Config.T
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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 BASIC_PRINTER
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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_types_default: bool Unsynchronized.ref
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  val show_types_raw: Config.raw
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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_markup_default: bool Unsynchronized.ref
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  val show_markup_raw: Config.raw
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  val show_structs_raw: Config.raw
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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_type_constraint: Proof.context -> bool
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  val show_sort_constraint: Proof.context -> bool
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  type prtabs
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  val empty_prtabs: prtabs
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  val update_prtabs: string -> Syntax_Ext.xprod list -> prtabs -> prtabs
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  val remove_prtabs: string -> Syntax_Ext.xprod list -> prtabs -> prtabs
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  val merge_prtabs: prtabs -> prtabs -> prtabs
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  val pretty_term_ast: bool -> Proof.context -> prtabs ->
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    (string -> Proof.context -> Ast.ast list -> Ast.ast) ->
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    (string -> Ast.ast list -> Pretty.T option) ->
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    (string -> Markup.T list * string) ->
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    Ast.ast -> Pretty.T list
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  val pretty_typ_ast: Proof.context -> prtabs ->
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    (string -> Proof.context -> Ast.ast list -> Ast.ast) ->
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    (string -> Ast.ast list -> Pretty.T option) ->
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    (string -> Markup.T list * string) -> 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_markup_default = Unsynchronized.ref false;
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val show_markup_raw = Config.declare "show_markup" (fn _ => Config.Bool (! show_markup_default));
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val show_markup = Config.bool show_markup_raw;
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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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fun show_type_constraint ctxt = Config.get ctxt show_types orelse Config.get ctxt show_markup;
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fun show_sort_constraint ctxt = Config.get ctxt show_sorts orelse Config.get ctxt show_markup;
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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 bool * 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 (Syntax_Ext.XProd (_, _, "", _)) = NONE
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  | xprod_to_fmt (Syntax_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 1000 else p);
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        fun xsyms_to_syms (Syntax_Ext.Delim s :: xsyms) =
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              apfst (cons (String (not (exists Symbol.is_block_ctrl (Symbol.explode s)), s)))
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                (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syntax_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 (Syntax_Ext.Space s :: xsyms) =
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              apfst (cons (String (false, s))) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syntax_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 (Syntax_Ext.Brk i :: xsyms) =
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              apfst (cons (Break i)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Syntax_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 (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 Syntax_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 type_mode curried ctxt tabs trf markup_trans markup_extern ast0 =
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  let
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    val show_brackets = Config.get ctxt show_brackets;
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    (*default applications: prefix / postfix*)
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    val appT =
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      if type_mode then Syntax_Trans.tappl_ast_tr'
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      else if curried then Syntax_Trans.applC_ast_tr'
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      else Syntax_Trans.appl_ast_tr';
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    fun synT _ ([], args) = ([], args)
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      | synT m (Arg p :: symbs, t :: args) =
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          let val (Ts, args') = synT m (symbs, args);
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          in (astT (t, p) @ Ts, args') end
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      | synT m (TypArg p :: symbs, t :: args) =
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          let
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            val (Ts, args') = synT m (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 true curried (Config.put pretty_priority p ctxt)
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                tabs trf markup_trans markup_extern t @ Ts, args')
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          end
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      | synT m (String (do_mark, s) :: symbs, args) =
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          let
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            val (Ts, args') = synT m (symbs, args);
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            val T =
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              if do_mark
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              then Pretty.marks_str (m @ [Lexicon.literal_markup s], s)
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              else Pretty.str s;
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          in (T :: Ts, args') end
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      | synT m (Block (i, bsymbs) :: symbs, args) =
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          let
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            val (bTs, args') = synT m (bsymbs, args);
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            val (Ts, args'') = synT m (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 m (Break i :: symbs, args) =
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          let
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            val (Ts, args') = synT m (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 m (pr, args, p, p': int) = #1 (synT m
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          (if p > p' orelse (show_brackets andalso p' <> 1000 andalso not (is_chain pr))
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           then [Block (1, String (false, "(") :: pr @ [String (false, ")")])]
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           else pr, args))
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    and atomT a = Pretty.marks_str (markup_extern a)
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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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        (*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 (#1 (markup_extern a)) (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 markup_trans 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 astT (c as Ast.Constant a, p) = combT (c, a, [], p)
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      | astT (ast as Ast.Variable _, _) = [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 curried ctxt prtabs trf markup_trans extern ast =
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  pretty false curried ctxt (mode_tabs prtabs (print_mode_value ())) trf markup_trans extern ast;
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(* pretty_typ_ast *)
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fun pretty_typ_ast ctxt prtabs trf markup_trans extern ast =
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  pretty true false ctxt (mode_tabs prtabs (print_mode_value ())) trf markup_trans extern ast;
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end;
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structure Basic_Printer: BASIC_PRINTER = Printer;
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open Basic_Printer;
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