src/HOL/Tools/numeral_syntax.ML
author haftmann
Fri Dec 16 09:00:11 2005 +0100 (2005-12-16)
changeset 18418 bf448d999b7e
parent 16365 838c65dad23a
child 18708 4b3dadb4fe33
permissions -rw-r--r--
re-arranged tuples (theory * 'a) to ('a * theory) in Pure
     1 (*  Title:      HOL/Tools/numeral_syntax.ML
     2     ID:         $Id$
     3     Author:     Markus Wenzel, TU Muenchen
     4 
     5 Concrete syntax for generic numerals.  Assumes consts and syntax of
     6 theory HOL/Numeral.
     7 *)
     8 
     9 signature NUMERAL_SYNTAX =
    10 sig
    11   val setup: (theory -> theory) list
    12 end;
    13 
    14 structure NumeralSyntax: NUMERAL_SYNTAX =
    15 struct
    16 
    17 
    18 (* bit strings *)   (*we try to handle superfluous leading digits nicely*)
    19 
    20 fun prefix_len _ [] = 0
    21   | prefix_len pred (x :: xs) =
    22       if pred x then 1 + prefix_len pred xs else 0;
    23 
    24 fun dest_bin_str tm =
    25   let
    26     val rev_digs = HOLogic.bin_of tm handle TERM _ => raise Match
    27     val (sign, zs) =
    28       (case rev rev_digs of
    29         ~1 :: bs => ("-", prefix_len (equal 1) bs)
    30       | bs => ("", prefix_len (equal 0) bs));
    31     val i = HOLogic.int_of rev_digs;
    32     val num = IntInf.toString (IntInf.abs i);
    33   in
    34     if i = IntInf.fromInt 0 orelse i = IntInf.fromInt 1 then raise Match
    35     else sign ^ implode (replicate zs "0") ^ num
    36   end;
    37 
    38 (* translation of integer numeral tokens to and from bitstrings *)
    39 
    40 fun numeral_tr (*"_Numeral"*) [t as Const (str, _)] =
    41       (Syntax.const "Numeral.number_of" $ (HOLogic.mk_bin (valOf (IntInf.fromString str))))
    42   | numeral_tr (*"_Numeral"*) ts = raise TERM ("numeral_tr", ts);
    43 
    44 fun numeral_tr' show_sorts (*"number_of"*) (Type ("fun", [_, T])) (t :: ts) =
    45       let val t' = Syntax.const "_Numeral" $ Syntax.free (dest_bin_str t) in
    46         if not (! show_types) andalso can Term.dest_Type T then t'
    47         else Syntax.const Syntax.constrainC $ t' $ Syntax.term_of_typ show_sorts T
    48       end
    49   | numeral_tr' _ (*"number_of"*) T (t :: ts) =
    50       if T = dummyT then Syntax.const "_Numeral" $ Syntax.free (dest_bin_str t)
    51       else raise Match
    52   | numeral_tr' _ (*"number_of"*) _ _ = raise Match;
    53 
    54 
    55 (* theory setup *)
    56 
    57 val setup =
    58  [Theory.hide_consts_i false ["Numeral.Pls", "Numeral.Min"],
    59   Theory.hide_consts_i false ["Numeral.bit.B0", "Numeral.bit.B1"],
    60    Theory.add_trfuns ([], [("_Numeral", numeral_tr)], [], []),
    61   Theory.add_trfunsT [("number_of", numeral_tr'), ("Numeral.number_of", numeral_tr')]];
    62 
    63 end;