src/HOL/Tools/numeral.ML
author haftmann
Thu, 28 Aug 2008 22:09:20 +0200
changeset 28054 2b84d34c5d02
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child 28064 d4a6460c53d1
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restructured and split code serializer module
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(*  Title:      HOL/Tools/Int.ML
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    ID:         $Id$
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    Author:     Makarius
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Logical operations on numerals (see also HOL/hologic.ML).
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*)
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signature NUMERAL =
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sig
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  val mk_cnumeral: int -> cterm
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  val mk_cnumber: ctyp -> int -> cterm
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  val add_code: string -> bool -> bool -> string -> theory -> theory
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end;
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structure Numeral: NUMERAL =
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struct
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(* numeral *)
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fun mk_cbit 0 = @{cterm "Int.Bit0"}
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  | mk_cbit 1 = @{cterm "Int.Bit1"}
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  | mk_cbit _ = raise CTERM ("mk_cbit", []);
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fun mk_cnumeral 0 = @{cterm "Int.Pls"}
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  | mk_cnumeral ~1 = @{cterm "Int.Min"}
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  | mk_cnumeral i =
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      let val (q, r) = Integer.div_mod i 2 in
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        Thm.capply (mk_cbit r) (mk_cnumeral q)
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      end;
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(* number *)
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local
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val zero = @{cpat "0"};
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val zeroT = Thm.ctyp_of_term zero;
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val one = @{cpat "1"};
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val oneT = Thm.ctyp_of_term one;
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val number_of = @{cpat "number_of"};
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val numberT = Thm.ctyp_of @{theory} (Term.range_type (Thm.typ_of (Thm.ctyp_of_term number_of)));
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fun instT T V = Thm.instantiate_cterm ([(V, T)], []);
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in
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fun mk_cnumber T 0 = instT T zeroT zero
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  | mk_cnumber T 1 = instT T oneT one
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  | mk_cnumber T i = Thm.capply (instT T numberT number_of) (mk_cnumeral i);
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end;
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(* code generator *)
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fun add_code number_of negative unbounded target =
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  Code_Target.add_pretty_numeral target negative unbounded number_of
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  @{const_name Int.Pls} @{const_name Int.Min}
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  @{const_name Int.Bit0} @{const_name Int.Bit1};
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end;