--- a/src/HOL/Library/Old_SMT/smt_word.ML Thu Aug 28 00:40:38 2014 +0200
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,151 +0,0 @@
-(* Title: HOL/Library/Old_SMT/smt_word.ML
- Author: Sascha Boehme, TU Muenchen
-
-SMT setup for words.
-*)
-
-signature SMT_WORD =
-sig
- val setup: theory -> theory
-end
-
-structure SMT_Word: SMT_WORD =
-struct
-
-open Word_Lib
-
-(* SMT-LIB logic *)
-
-fun smtlib_logic ts =
- if exists (Term.exists_type (Term.exists_subtype is_wordT)) ts
- then SOME "QF_AUFBV"
- else NONE
-
-
-(* SMT-LIB builtins *)
-
-local
- val smtlibC = SMTLIB_Interface.smtlibC
-
- val wordT = @{typ "'a::len word"}
-
- fun index1 n i = n ^ "[" ^ string_of_int i ^ "]"
- fun index2 n i j = n ^ "[" ^ string_of_int i ^ ":" ^ string_of_int j ^ "]"
-
- fun word_typ (Type (@{type_name word}, [T])) =
- Option.map (index1 "BitVec") (try dest_binT T)
- | word_typ _ = NONE
-
- fun word_num (Type (@{type_name word}, [T])) i =
- Option.map (index1 ("bv" ^ string_of_int i)) (try dest_binT T)
- | word_num _ _ = NONE
-
- fun if_fixed pred m n T ts =
- let val (Us, U) = Term.strip_type T
- in
- if pred (U, Us) then
- SOME (n, length Us, ts, Term.list_comb o pair (Const (m, T)))
- else NONE
- end
-
- fun if_fixed_all m = if_fixed (forall (can dest_wordT) o (op ::)) m
- fun if_fixed_args m = if_fixed (forall (can dest_wordT) o snd) m
-
- fun add_word_fun f (t, n) =
- let val (m, _) = Term.dest_Const t
- in SMT_Builtin.add_builtin_fun smtlibC (Term.dest_Const t, K (f m n)) end
-
- fun hd2 xs = hd (tl xs)
-
- fun mk_nat i = @{const nat} $ HOLogic.mk_number @{typ nat} i
-
- fun dest_nat (@{const nat} $ n) = snd (HOLogic.dest_number n)
- | dest_nat t = raise TERM ("not a natural number", [t])
-
- fun mk_shift c [t, u] = Const c $ t $ mk_nat (snd (HOLogic.dest_number u))
- | mk_shift c ts = raise TERM ("bad arguments", Const c :: ts)
-
- fun shift m n T ts =
- let val U = Term.domain_type T
- in
- (case (can dest_wordT U, try (dest_nat o hd2) ts) of
- (true, SOME i) =>
- SOME (n, 2, [hd ts, HOLogic.mk_number U i], mk_shift (m, T))
- | _ => NONE) (* FIXME: also support non-numerical shifts *)
- end
-
- fun mk_extract c i ts = Term.list_comb (Const c, mk_nat i :: ts)
-
- fun extract m n T ts =
- let val U = Term.range_type (Term.range_type T)
- in
- (case (try (dest_nat o hd) ts, try dest_wordT U) of
- (SOME lb, SOME i) =>
- SOME (index2 n (i + lb - 1) lb, 1, tl ts, mk_extract (m, T) lb)
- | _ => NONE)
- end
-
- fun mk_extend c ts = Term.list_comb (Const c, ts)
-
- fun extend m n T ts =
- let val (U1, U2) = Term.dest_funT T
- in
- (case (try dest_wordT U1, try dest_wordT U2) of
- (SOME i, SOME j) =>
- if j-i >= 0 then SOME (index1 n (j-i), 1, ts, mk_extend (m, T))
- else NONE
- | _ => NONE)
- end
-
- fun mk_rotate c i ts = Term.list_comb (Const c, mk_nat i :: ts)
-
- fun rotate m n T ts =
- let val U = Term.domain_type (Term.range_type T)
- in
- (case (can dest_wordT U, try (dest_nat o hd) ts) of
- (true, SOME i) => SOME (index1 n i, 1, tl ts, mk_rotate (m, T) i)
- | _ => NONE)
- end
-in
-
-val setup_builtins =
- SMT_Builtin.add_builtin_typ smtlibC (wordT, word_typ, word_num) #>
- fold (add_word_fun if_fixed_all) [
- (@{term "uminus :: 'a::len word => _"}, "bvneg"),
- (@{term "plus :: 'a::len word => _"}, "bvadd"),
- (@{term "minus :: 'a::len word => _"}, "bvsub"),
- (@{term "times :: 'a::len word => _"}, "bvmul"),
- (@{term "bitNOT :: 'a::len word => _"}, "bvnot"),
- (@{term "bitAND :: 'a::len word => _"}, "bvand"),
- (@{term "bitOR :: 'a::len word => _"}, "bvor"),
- (@{term "bitXOR :: 'a::len word => _"}, "bvxor"),
- (@{term "word_cat :: 'a::len word => _"}, "concat") ] #>
- fold (add_word_fun shift) [
- (@{term "shiftl :: 'a::len word => _ "}, "bvshl"),
- (@{term "shiftr :: 'a::len word => _"}, "bvlshr"),
- (@{term "sshiftr :: 'a::len word => _"}, "bvashr") ] #>
- add_word_fun extract
- (@{term "slice :: _ => 'a::len word => _"}, "extract") #>
- fold (add_word_fun extend) [
- (@{term "ucast :: 'a::len word => _"}, "zero_extend"),
- (@{term "scast :: 'a::len word => _"}, "sign_extend") ] #>
- fold (add_word_fun rotate) [
- (@{term word_rotl}, "rotate_left"),
- (@{term word_rotr}, "rotate_right") ] #>
- fold (add_word_fun if_fixed_args) [
- (@{term "less :: 'a::len word => _"}, "bvult"),
- (@{term "less_eq :: 'a::len word => _"}, "bvule"),
- (@{term word_sless}, "bvslt"),
- (@{term word_sle}, "bvsle") ]
-
-end
-
-
-(* setup *)
-
-val setup =
- Context.theory_map (
- SMTLIB_Interface.add_logic (20, smtlib_logic) #>
- setup_builtins)
-
-end