src/Pure/Syntax/printer.ML
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(*  Title:      Pure/Syntax/printer.ML
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    ID:         $Id$
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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: bool ref
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  val show_sorts: bool ref
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  val show_types: bool ref
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  val show_no_free_types: bool ref
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  val print_mode: string list ref
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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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  val term_to_ast: (string -> (term list -> term) option) -> term -> Ast.ast
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  val typ_to_ast: (string -> (term list -> term) option) -> typ -> Ast.ast
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  type prtabs
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  val prmodes_of: prtabs -> string list
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  val empty_prtabs: prtabs
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  val extend_prtabs: prtabs -> string -> SynExt.xprod list -> prtabs
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  val merge_prtabs: prtabs -> prtabs -> prtabs
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  val pretty_term_ast: bool -> prtabs
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    -> (string -> (Ast.ast list -> Ast.ast) option) -> Ast.ast -> Pretty.T
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  val pretty_typ_ast: bool -> prtabs
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    -> (string -> (Ast.ast list -> Ast.ast) option) -> Ast.ast -> Pretty.T
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  val chartrans_of: prtabs -> (string * string) list
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  end;
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structure Printer: PRINTER =
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struct
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open Lexicon Ast SynExt TypeExt SynTrans;
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(** options for printing **)
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val show_types = ref false;
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val show_sorts = ref false;
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val show_brackets = ref false;
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val show_no_free_types = ref false;
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val print_mode = ref ([]:string list);
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(** convert term or typ to ast **)
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fun apply_trans name a f args =
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  (f args handle
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    Match => raise Match
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  | exn => (writeln ("Error in " ^ name ^ " for " ^ quote a); raise exn));
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fun ast_of_term trf show_types show_sorts tm =
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  let
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    val no_freeTs = ! show_no_free_types;
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    fun prune_typs (t_seen as (Const _, _)) = t_seen
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      | prune_typs (t as Free (x, ty), seen) =
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          if ty = dummyT then (t, seen)
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          else if no_freeTs orelse t mem seen then (free x, seen)
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          else (t, t :: seen)
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      | prune_typs (t as Var (xi, ty), seen) =
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          if ty = dummyT then (t, seen)
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          else if no_freeTs orelse t mem seen then (var xi, seen)
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          else (t, t :: seen)
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      | prune_typs (t_seen as (Bound _, _)) = t_seen
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      | prune_typs (Abs (x, ty, t), seen) =
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          let val (t', seen') = prune_typs (t, seen);
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          in (Abs (x, ty, t'), seen') end
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      | prune_typs (t1 $ t2, seen) =
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          let
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            val (t1', seen') = prune_typs (t1, seen);
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            val (t2', seen'') = prune_typs (t2, seen');
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          in
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            (t1' $ t2', seen'')
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          end;
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    fun ast_of (Const (a, _)) = trans a []
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      | ast_of (Free (x, ty)) = constrain x (free x) ty
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      | ast_of (Var (xi, ty)) = constrain (string_of_vname xi) (var xi) ty
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      | ast_of (Bound i) = Variable ("B." ^ string_of_int i)
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      | ast_of (t as Abs _) = ast_of (abs_tr' t)
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      | ast_of (t as _ $ _) =
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          (case strip_comb t of
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            (Const (a, _), args) => trans a args
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          | (f, args) => Appl (map ast_of (f :: args)))
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    and trans a args =
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      (case trf a of
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        Some f => ast_of (apply_trans "print translation" a f args)
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      | None => raise Match)
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          handle Match => mk_appl (Constant a) (map ast_of args)
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    and constrain x t ty =
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      if show_types andalso ty <> dummyT then
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        ast_of (const constrainC $ t $ term_of_typ show_sorts ty)
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      else Variable x;
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  in
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    if show_types then
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      ast_of (#1 (prune_typs (prop_tr' show_sorts tm, [])))
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    else ast_of (prop_tr' show_sorts tm)
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  end;
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(* term_to_ast *)
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fun term_to_ast trf tm =
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  ast_of_term trf (! show_types orelse ! show_sorts) (! show_sorts) tm;
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(* typ_to_ast *)
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fun typ_to_ast trf ty =
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  ast_of_term trf false false (term_of_typ (! show_sorts) ty);
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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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  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 prmodes_of prtabs = filter_out (equal "") (map fst prtabs);
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(*find tab for mode*)
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fun get_tab prtabs mode =
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  if_none (assoc (prtabs, mode)) Symtab.null;
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(*collect tabs for mode hierarchy (default "")*)
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fun tabs_of prtabs modes =
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  mapfilter (fn mode => assoc (prtabs, mode)) (modes @ [""]);
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(*find formats in tab hierarchy*)
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fun get_fmts [] _ = []
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  | get_fmts (tab :: tabs) a = Symtab.lookup_multi (tab, a) @ get_fmts tabs a;
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(* xprods_to_fmts *)
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fun xprod_to_fmt (XProd (_, _, "", _)) = None
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  | xprod_to_fmt (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 is_terminal s then max_pri else p);
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        fun xsyms_to_syms (Delim s :: xsyms) =
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              apfst (cons (String s)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Argument s_p :: xsyms) =
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              apfst (cons (arg s_p)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (Space s :: xsyms) =
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              apfst (cons (String s)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (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 (Brk i :: xsyms) =
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              apfst (cons (Break i)) (xsyms_to_syms xsyms)
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          | xsyms_to_syms (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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        | _ => sys_error "xprod_to_fmt: unbalanced blocks")
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      end;
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fun xprods_to_fmts xprods = mapfilter xprod_to_fmt xprods;
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(* empty, extend, merge prtabs *)
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val empty_prtabs = [];
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fun extend_prtabs prtabs mode xprods =
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  let
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    val fmts = xprods_to_fmts xprods;
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    val tab = get_tab prtabs mode;
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    val new_tab = generic_extend (op =) Symtab.dest_multi Symtab.make_multi tab fmts;
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  in overwrite (prtabs, (mode, new_tab)) end;
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fun merge_prtabs prtabs1 prtabs2 =
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  let
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    val modes = distinct (map fst (prtabs1 @ prtabs2));
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    fun merge mode =
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      (mode,
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        generic_merge (op =) Symtab.dest_multi Symtab.make_multi
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          (get_tab prtabs1 mode) (get_tab prtabs2 mode));
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  in
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    map merge modes
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  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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fun pretty tabs trf type_mode curried ast0 p0 =
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  let
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    val trans = apply_trans "print ast translation";
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    (*default applications: prefix / postfix*)
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    val appT =
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      if type_mode then tappl_ast_tr'
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      else if curried then applC_ast_tr'
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      else appl_ast_tr';
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    fun synT ([], args) = ([], args)
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      | synT (Arg p :: symbs, t :: args) =
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          let val (Ts, args') = synT (symbs, args);
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          in (astT (t, p) @ Ts, args') end
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      | synT (TypArg p :: symbs, t :: args) =
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          let
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            val (Ts, args') = synT (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 (pretty tabs trf true curried t p @ Ts, args')
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          end
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      | synT (String s :: symbs, args) =
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          let val (Ts, args') = synT (symbs, args);
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          in (Pretty.str s :: Ts, args') end
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      | synT (Block (i, bsymbs) :: symbs, args) =
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          let
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            val (bTs, args') = synT (bsymbs, args);
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            val (Ts, args'') = synT (symbs, args');
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          in (Pretty.blk (i, bTs) :: Ts, args'') end
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      | synT (Break i :: symbs, args) =
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          let val (Ts, args') = synT (symbs, args);
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          in ((if i < 0 then Pretty.fbrk else Pretty.brk i) :: Ts, args') end
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      | synT (_ :: _, []) = sys_error "synT"
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    and parT (pr, args, p, p': int) = #1 (synT
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          (if p > p' orelse
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            (! show_brackets andalso p' <> max_pri andalso not (is_chain pr))
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            then [Block (1, String "(" :: pr @ [String ")"])]
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            else pr, args))
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    and prefixT (_, a, [], _) = [Pretty.str 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) = (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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      | splitT _ _ = sys_error "splitT"
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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 ((pr, n, p') :: prnps) =
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              if nargs = n then parT (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;
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      in
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        (*try translation function first*)
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        (case trf a of
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          None => prnt (get_fmts tabs a)
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        | Some f => (astT (trans a f args, p) handle Match => prnt (get_fmts tabs a)))
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      end
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    and astT (c as Constant a, p) = combT (c, a, [], p)
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      | astT (Variable x, _) = [Pretty.str x]
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      | astT (Appl ((c as Constant a) :: (args as _ :: _)), p) =
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          combT (c, a, args, p)
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      | astT (Appl (f :: (args as _ :: _)), p) = astT (appT (f, args), p)
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      | astT (ast as Appl _, _) = raise_ast "pretty: malformed ast" [ast];
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  in
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    astT (ast0, p0)
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  end;
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(* pretty_term_ast *)
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fun pretty_term_ast curried prtabs trf ast =
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  Pretty.blk (0, pretty (tabs_of prtabs (! print_mode)) trf false curried ast 0);
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(* pretty_typ_ast *)
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fun pretty_typ_ast _ prtabs trf ast =
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  Pretty.blk (0, pretty (tabs_of prtabs (! print_mode)) trf true false ast 0);
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(** character translations - generated from "symbols" syntax **)
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(* match_symbs *)
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(*match with symbs pattern, ignoring spaces, breaks, blocks*)
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local
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  exception NO_MATCH;
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  fun strip ((sym as Arg _) :: syms) = sym :: strip syms
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    | strip (TypArg p :: syms) = Arg p :: strip syms
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    | strip ((sym as String s) :: syms) =
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        if forall is_blank (explode s) then strip syms
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        else sym :: strip syms
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    | strip (Break _ :: syms) = strip syms
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    | strip (Block (_, bsyms) :: syms) = strip bsyms @ strip syms
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    | strip [] = [];
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  fun match (Arg p :: syms) (Arg p' :: syms') tr =
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        if p = p' then match syms syms' tr
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        else raise NO_MATCH
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    | match (String s :: syms) (String s' :: syms') tr =
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        if s = s' then match syms syms' tr
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        else if size s = 1 then match syms syms' ((s, s') :: tr)
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        else raise NO_MATCH
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    | match [] [] tr = tr
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    | match _ _ _ = raise NO_MATCH;
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in
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  fun match_symbs (syms, n, p) (syms', n', p') =
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    if n = n' andalso p = p' then
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      match (strip syms) (strip syms') [] handle NO_MATCH => []
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    else []
0
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end;
2365
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(* chartrans_of *)
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fun chartrans_of prtabs =
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  let
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    val def_tab = get_tab prtabs "";
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    val sym_tab = get_tab prtabs "symbols";
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    fun trans_of (c, symb) =
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      flat (map (match_symbs symb) (Symtab.lookup_multi (def_tab, c)));
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  in
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    distinct (flat (map trans_of (Symtab.dest_multi sym_tab)))
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(* FIXME    Symtab.make tr handle Symtab.DUPS cs
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      => error ("Ambiguous printer syntax of symbols: " ^ commas cs)  *)
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  end;
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end;