author | berghofe |
Thu, 19 Jul 2007 15:35:00 +0200 | |
changeset 23847 | 32d76edc5e5c |
parent 23745 | 28df61d931e2 |
child 24630 | 351a308ab58d |
permissions | -rw-r--r-- |
923 | 1 |
(* Title: HOL/hologic.ML |
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ID: $Id$ |
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Author: Lawrence C Paulson and Markus Wenzel |
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Abstract syntax operations for HOL. |
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*) |
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signature HOLOGIC = |
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sig |
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parents:
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val typeS: sort |
de0f4a63baa5
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val typeT: typ |
8275 | 12 |
val boolN: string |
923 | 13 |
val boolT: typ |
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val true_const: term |
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val false_const: term |
923 | 16 |
val mk_setT: typ -> typ |
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val dest_setT: typ -> typ |
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Use of IntInf.int instead of int in most numeric simprocs; avoids
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val Trueprop: term |
923 | 19 |
val mk_Trueprop: term -> term |
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val dest_Trueprop: term -> term |
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val conj_intr: thm -> thm -> thm |
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val conj_elim: thm -> thm * thm |
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val conj_elims: thm -> thm list |
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val conj: term |
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val disj: term |
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val imp: term |
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8429 | 27 |
val Not: term |
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val mk_conj: term * term -> term |
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val mk_disj: term * term -> term |
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val mk_imp: term * term -> term |
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val mk_not: term -> term |
15151 | 32 |
val dest_conj: term -> term list |
15945 | 33 |
val dest_disj: term -> term list |
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val dest_imp: term -> term * term |
15151 | 35 |
val dest_not: term -> term |
11683 | 36 |
val dest_concls: term -> term list |
923 | 37 |
val eq_const: typ -> term |
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val mk_eq: term * term -> term |
016eff9c5699
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val dest_eq: term -> term * term |
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val all_const: typ -> term |
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parents:
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val mk_all: string * typ * term -> term |
016eff9c5699
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parents:
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val list_all: (string * typ) list * term -> term |
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val exists_const: typ -> term |
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val mk_exists: string * typ * term -> term |
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val choice_const: typ -> term |
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val Collect_const: typ -> term |
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val mk_Collect: string * typ * term -> term |
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val class_eq: string |
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val mk_mem: term * term -> term |
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val dest_mem: term -> term * term |
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val mk_UNIV: typ -> term |
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val mk_binop: string -> term * term -> term |
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val mk_binrel: string -> term * term -> term |
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val dest_bin: string -> typ -> term -> term * term |
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val unitT: typ |
9362 | 56 |
val is_unitT: typ -> bool |
4571 | 57 |
val unit: term |
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val is_unit: term -> bool |
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val mk_prodT: typ * typ -> typ |
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val dest_prodT: typ -> typ * typ |
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14048 | 61 |
val pair_const: typ -> typ -> term |
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val mk_prod: term * term -> term |
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val dest_prod: term -> term * term |
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val mk_fst: term -> term |
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val mk_snd: term -> term |
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val split_const: typ * typ * typ -> term |
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val mk_split: term -> term |
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Moved most of the Prod_Syntax - stuff to HOLogic.
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val prodT_factors: typ -> typ list |
84b00be693b4
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val mk_tuple: typ -> term list -> term |
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val dest_tuple: term -> term list |
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val ap_split: typ -> typ -> term -> term |
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val prod_factors: term -> int list list |
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val dest_tuple': int list list -> term -> term list |
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val prodT_factors': int list list -> typ -> typ list |
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val ap_split': int list list -> typ -> typ -> term -> term |
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val mk_tuple': int list list -> typ -> term list -> term |
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val mk_tupleT: int list list -> typ list -> typ |
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val strip_split: term -> term * typ list * int list list |
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val natT: typ |
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val zero: term |
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val is_zero: term -> bool |
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val mk_Suc: term -> term |
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val dest_Suc: term -> term |
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21621 | 84 |
val Suc_zero: term |
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val mk_nat: integer -> term |
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val dest_nat: term -> integer |
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22994 | 87 |
val class_size: string |
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val size_const: typ -> term |
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val bitT: typ |
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val B0_const: term |
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val B1_const: term |
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val mk_bit: int -> term |
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val dest_bit: term -> int |
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wenzelm
parents:
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val intT: typ |
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val pls_const: term |
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val min_const: term |
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val bit_const: term |
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23247 | 98 |
val mk_numeral: integer -> term |
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val dest_numeral: term -> integer |
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val number_of_const: typ -> term |
23269 | 101 |
val add_numerals: term -> (term * typ) list -> (term * typ) list |
23247 | 102 |
val mk_number: typ -> integer -> term |
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val dest_number: term -> typ * integer |
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val realT: typ |
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val nibbleT: typ |
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val mk_nibble: int -> term |
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val dest_nibble: term -> int |
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val charT: typ |
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val mk_char: int -> term |
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val dest_char: term -> int |
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wenzelm
parents:
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val listT: typ -> typ |
016eff9c5699
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wenzelm
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val mk_list: typ -> term list -> term |
016eff9c5699
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val dest_list: term -> term list |
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val stringT: typ |
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val mk_string: string -> term |
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val dest_string: term -> string |
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end; |
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structure HOLogic: HOLOGIC = |
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struct |
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(* HOL syntax *) |
923 | 123 |
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val typeS: sort = ["HOL.type"]; |
de0f4a63baa5
renamed class "term" to "type" (actually "HOL.type");
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val typeT = TypeInfer.anyT typeS; |
de0f4a63baa5
renamed class "term" to "type" (actually "HOL.type");
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parents:
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changeset
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(* bool and set *) |
923 | 129 |
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val boolN = "bool"; |
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val boolT = Type (boolN, []); |
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val true_const = Const ("True", boolT); |
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val false_const = Const ("False", boolT); |
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fun mk_setT T = Type ("set", [T]); |
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fun dest_setT (Type ("set", [T])) = T |
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| dest_setT T = raise TYPE ("dest_setT: set type expected", [T], []); |
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(* logic *) |
923 | 143 |
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val Trueprop = Const ("Trueprop", boolT --> propT); |
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fun mk_Trueprop P = Trueprop $ P; |
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fun dest_Trueprop (Const ("Trueprop", _) $ P) = P |
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| dest_Trueprop t = raise TERM ("dest_Trueprop", [t]); |
923 | 150 |
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fun conj_intr thP thQ = |
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152 |
let |
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val (P, Q) = pairself (ObjectLogic.dest_judgment o Thm.cprop_of) (thP, thQ) |
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handle CTERM (msg, _) => raise THM (msg, 0, [thP, thQ]); |
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val inst = Thm.instantiate ([], [(@{cpat "?P::bool"}, P), (@{cpat "?Q::bool"}, Q)]); |
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in Drule.implies_elim_list (inst @{thm conjI}) [thP, thQ] end; |
923 | 157 |
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158 |
fun conj_elim thPQ = |
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159 |
let |
23576
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val (P, Q) = Thm.dest_binop (ObjectLogic.dest_judgment (Thm.cprop_of thPQ)) |
23555
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wenzelm
parents:
23297
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161 |
handle CTERM (msg, _) => raise THM (msg, 0, [thPQ]); |
16e5fd18905c
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wenzelm
parents:
23297
diff
changeset
|
162 |
val inst = Thm.instantiate ([], [(@{cpat "?P::bool"}, P), (@{cpat "?Q::bool"}, Q)]); |
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wenzelm
parents:
23297
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163 |
val thP = Thm.implies_elim (inst @{thm conjunct1}) thPQ; |
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164 |
val thQ = Thm.implies_elim (inst @{thm conjunct2}) thPQ; |
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wenzelm
parents:
23297
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changeset
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165 |
in (thP, thQ) end; |
16e5fd18905c
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wenzelm
parents:
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166 |
|
16e5fd18905c
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wenzelm
parents:
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167 |
fun conj_elims th = |
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168 |
let val (th1, th2) = conj_elim th |
16e5fd18905c
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169 |
in conj_elims th1 @ conj_elims th2 end handle THM _ => [th]; |
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170 |
|
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171 |
val conj = @{term "op &"} |
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wenzelm
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172 |
and disj = @{term "op |"} |
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wenzelm
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173 |
and imp = @{term "op -->"} |
16e5fd18905c
assume basic HOL context for compilation (antiquotations);
wenzelm
parents:
23297
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174 |
and Not = @{term "Not"}; |
923 | 175 |
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7690 | 176 |
fun mk_conj (t1, t2) = conj $ t1 $ t2 |
177 |
and mk_disj (t1, t2) = disj $ t1 $ t2 |
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16835 | 178 |
and mk_imp (t1, t2) = imp $ t1 $ t2 |
179 |
and mk_not t = Not $ t; |
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7690 | 180 |
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15151 | 181 |
fun dest_conj (Const ("op &", _) $ t $ t') = t :: dest_conj t' |
182 |
| dest_conj t = [t]; |
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183 |
||
15945 | 184 |
fun dest_disj (Const ("op |", _) $ t $ t') = t :: dest_disj t' |
185 |
| dest_disj t = [t]; |
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||
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305390f23734
Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
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187 |
fun dest_imp (Const("op -->",_) $ A $ B) = (A, B) |
305390f23734
Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
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188 |
| dest_imp t = raise TERM ("dest_imp", [t]); |
305390f23734
Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents:
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diff
changeset
|
189 |
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15151 | 190 |
fun dest_not (Const ("Not", _) $ t) = t |
191 |
| dest_not t = raise TERM ("dest_not", [t]); |
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8302 | 192 |
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11683 | 193 |
fun imp_concl_of t = imp_concl_of (#2 (dest_imp t)) handle TERM _ => t; |
194 |
val dest_concls = map imp_concl_of o dest_conj o dest_Trueprop; |
|
195 |
||
923 | 196 |
fun eq_const T = Const ("op =", [T, T] ---> boolT); |
197 |
fun mk_eq (t, u) = eq_const (fastype_of t) $ t $ u; |
|
198 |
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6031 | 199 |
fun dest_eq (Const ("op =", _) $ lhs $ rhs) = (lhs, rhs) |
200 |
| dest_eq t = raise TERM ("dest_eq", [t]) |
|
201 |
||
923 | 202 |
fun all_const T = Const ("All", [T --> boolT] ---> boolT); |
203 |
fun mk_all (x, T, P) = all_const T $ absfree (x, T, P); |
|
21173
663a7b39894c
removed is_Trueprop (use can dest_Trueprop'' instead);
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parents:
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204 |
fun list_all (xs, t) = fold_rev (fn (x, T) => fn P => all_const T $ Abs (x, T, P)) xs t; |
923 | 205 |
|
206 |
fun exists_const T = Const ("Ex", [T --> boolT] ---> boolT); |
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207 |
fun mk_exists (x, T, P) = exists_const T $ absfree (x, T, P); |
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208 |
||
21755 | 209 |
fun choice_const T = Const("Hilbert_Choice.Eps", (T --> boolT) --> T); |
15945 | 210 |
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923 | 211 |
fun Collect_const T = Const ("Collect", [T --> boolT] ---> mk_setT T); |
212 |
fun mk_Collect (a, T, t) = Collect_const T $ absfree (a, T, t); |
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213 |
||
23247 | 214 |
val class_eq = "HOL.eq"; |
21045 | 215 |
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923 | 216 |
fun mk_mem (x, A) = |
217 |
let val setT = fastype_of A in |
|
218 |
Const ("op :", [dest_setT setT, setT] ---> boolT) $ x $ A |
|
219 |
end; |
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220 |
||
6380 | 221 |
fun dest_mem (Const ("op :", _) $ x $ A) = (x, A) |
222 |
| dest_mem t = raise TERM ("dest_mem", [t]); |
|
223 |
||
11818 | 224 |
fun mk_UNIV T = Const ("UNIV", mk_setT T); |
225 |
||
923 | 226 |
|
13743
f8f9393be64c
Fixed bug in simpdata.ML that prevented the use of congruence rules from a
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changeset
|
227 |
(* binary operations and relations *) |
2510 | 228 |
|
229 |
fun mk_binop c (t, u) = |
|
230 |
let val T = fastype_of t in |
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231 |
Const (c, [T, T] ---> T) $ t $ u |
|
232 |
end; |
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233 |
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234 |
fun mk_binrel c (t, u) = |
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235 |
let val T = fastype_of t in |
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236 |
Const (c, [T, T] ---> boolT) $ t $ u |
|
237 |
end; |
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238 |
||
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Polymorphic treatment of binary arithmetic using axclasses
paulson
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239 |
(*destruct the application of a binary operator. The dummyT case is a crude |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
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changeset
|
240 |
way of handling polymorphic operators.*) |
2510 | 241 |
fun dest_bin c T (tm as Const (c', Type ("fun", [T', _])) $ t $ u) = |
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Polymorphic treatment of binary arithmetic using axclasses
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changeset
|
242 |
if c = c' andalso (T=T' orelse T=dummyT) then (t, u) |
3794 | 243 |
else raise TERM ("dest_bin " ^ c, [tm]) |
244 |
| dest_bin c _ tm = raise TERM ("dest_bin " ^ c, [tm]); |
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2510 | 245 |
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246 |
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4571 | 247 |
(* unit *) |
248 |
||
11604 | 249 |
val unitT = Type ("Product_Type.unit", []); |
4571 | 250 |
|
11604 | 251 |
fun is_unitT (Type ("Product_Type.unit", [])) = true |
9362 | 252 |
| is_unitT _ = false; |
253 |
||
11604 | 254 |
val unit = Const ("Product_Type.Unity", unitT); |
4571 | 255 |
|
11604 | 256 |
fun is_unit (Const ("Product_Type.Unity", _)) = true |
4571 | 257 |
| is_unit _ = false; |
258 |
||
259 |
||
260 |
(* prod *) |
|
261 |
||
262 |
fun mk_prodT (T1, T2) = Type ("*", [T1, T2]); |
|
263 |
||
264 |
fun dest_prodT (Type ("*", [T1, T2])) = (T1, T2) |
|
265 |
| dest_prodT T = raise TYPE ("dest_prodT", [T], []); |
|
266 |
||
14048 | 267 |
fun pair_const T1 T2 = Const ("Pair", [T1, T2] ---> mk_prodT (T1, T2)); |
268 |
||
4571 | 269 |
fun mk_prod (t1, t2) = |
270 |
let val T1 = fastype_of t1 and T2 = fastype_of t2 in |
|
14048 | 271 |
pair_const T1 T2 $ t1 $ t2 |
4571 | 272 |
end; |
273 |
||
274 |
fun dest_prod (Const ("Pair", _) $ t1 $ t2) = (t1, t2) |
|
275 |
| dest_prod t = raise TERM ("dest_prod", [t]); |
|
276 |
||
277 |
fun mk_fst p = |
|
278 |
let val pT = fastype_of p in |
|
279 |
Const ("fst", pT --> fst (dest_prodT pT)) $ p |
|
280 |
end; |
|
281 |
||
282 |
fun mk_snd p = |
|
283 |
let val pT = fastype_of p in |
|
284 |
Const ("snd", pT --> snd (dest_prodT pT)) $ p |
|
285 |
end; |
|
286 |
||
18285 | 287 |
fun split_const (A, B, C) = |
288 |
Const ("split", (A --> B --> C) --> mk_prodT (A, B) --> C); |
|
289 |
||
290 |
fun mk_split t = |
|
291 |
(case Term.fastype_of t of |
|
292 |
T as (Type ("fun", [A, Type ("fun", [B, C])])) => |
|
293 |
Const ("split", T --> mk_prodT (A, B) --> C) $ t |
|
294 |
| _ => raise TERM ("mk_split: bad body type", [t])); |
|
295 |
||
5096
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
296 |
(*Maps the type T1 * ... * Tn to [T1, ..., Tn], however nested*) |
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
297 |
fun prodT_factors (Type ("*", [T1, T2])) = prodT_factors T1 @ prodT_factors T2 |
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
298 |
| prodT_factors T = [T]; |
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
299 |
|
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
300 |
(*Makes a nested tuple from a list, following the product type structure*) |
16971 | 301 |
fun mk_tuple (Type ("*", [T1, T2])) tms = |
302 |
mk_prod (mk_tuple T1 tms, |
|
15570 | 303 |
mk_tuple T2 (Library.drop (length (prodT_factors T1), tms))) |
5096
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
304 |
| mk_tuple T (t::_) = t; |
4571 | 305 |
|
23745 | 306 |
fun dest_tuple (Const ("Pair", _) $ t $ u) = dest_tuple t @ dest_tuple u |
307 |
| dest_tuple t = [t]; |
|
308 |
||
309 |
(*In ap_split S T u, term u expects separate arguments for the factors of S, |
|
310 |
with result type T. The call creates a new term expecting one argument |
|
311 |
of type S.*) |
|
312 |
fun ap_split T T3 u = |
|
313 |
let |
|
314 |
fun ap (T :: Ts) = |
|
315 |
(case T of |
|
316 |
Type ("*", [T1, T2]) => |
|
317 |
split_const (T1, T2, Ts ---> T3) $ ap (T1 :: T2 :: Ts) |
|
318 |
| _ => Abs ("x", T, ap Ts)) |
|
319 |
| ap [] = |
|
320 |
let val k = length (prodT_factors T) |
|
321 |
in list_comb (incr_boundvars k u, map Bound (k - 1 downto 0)) end |
|
322 |
in ap [T] end; |
|
323 |
||
324 |
||
325 |
(***********************************************************) |
|
326 |
(* operations on tuples with specific arities *) |
|
327 |
(* *) |
|
328 |
(* an "arity" of a tuple is a list of lists of integers *) |
|
329 |
(* ("factors"), denoting paths to subterms that are pairs *) |
|
330 |
(***********************************************************) |
|
331 |
||
332 |
fun prod_err s = raise TERM (s ^ ": inconsistent use of products", []); |
|
333 |
||
334 |
fun prod_factors t = |
|
335 |
let |
|
336 |
fun factors p (Const ("Pair", _) $ t $ u) = |
|
337 |
p :: factors (1::p) t @ factors (2::p) u |
|
338 |
| factors p _ = [] |
|
339 |
in factors [] t end; |
|
340 |
||
341 |
fun dest_tuple' ps = |
|
342 |
let |
|
343 |
fun dest p t = if p mem ps then (case t of |
|
344 |
Const ("Pair", _) $ t $ u => |
|
345 |
dest (1::p) t @ dest (2::p) u |
|
346 |
| _ => prod_err "dest_tuple'") else [t] |
|
347 |
in dest [] end; |
|
348 |
||
349 |
fun prodT_factors' ps = |
|
350 |
let |
|
351 |
fun factors p T = if p mem ps then (case T of |
|
352 |
Type ("*", [T1, T2]) => |
|
353 |
factors (1::p) T1 @ factors (2::p) T2 |
|
354 |
| _ => prod_err "prodT_factors'") else [T] |
|
355 |
in factors [] end; |
|
356 |
||
357 |
(*In ap_split' ps S T u, term u expects separate arguments for the factors of S, |
|
358 |
with result type T. The call creates a new term expecting one argument |
|
359 |
of type S.*) |
|
360 |
fun ap_split' ps T T3 u = |
|
361 |
let |
|
362 |
fun ap ((p, T) :: pTs) = |
|
363 |
if p mem ps then (case T of |
|
364 |
Type ("*", [T1, T2]) => |
|
365 |
split_const (T1, T2, map snd pTs ---> T3) $ |
|
366 |
ap ((1::p, T1) :: (2::p, T2) :: pTs) |
|
367 |
| _ => prod_err "ap_split'") |
|
368 |
else Abs ("x", T, ap pTs) |
|
369 |
| ap [] = |
|
370 |
let val k = length ps |
|
371 |
in list_comb (incr_boundvars (k + 1) u, map Bound (k downto 0)) end |
|
372 |
in ap [([], T)] end; |
|
373 |
||
374 |
fun mk_tuple' ps = |
|
375 |
let |
|
376 |
fun mk p T ts = |
|
377 |
if p mem ps then (case T of |
|
378 |
Type ("*", [T1, T2]) => |
|
379 |
let |
|
380 |
val (t, ts') = mk (1::p) T1 ts; |
|
381 |
val (u, ts'') = mk (2::p) T2 ts' |
|
382 |
in (pair_const T1 T2 $ t $ u, ts'') end |
|
383 |
| _ => prod_err "mk_tuple'") |
|
384 |
else (hd ts, tl ts) |
|
385 |
in fst oo mk [] end; |
|
386 |
||
387 |
fun mk_tupleT ps = |
|
388 |
let |
|
389 |
fun mk p Ts = |
|
390 |
if p mem ps then |
|
391 |
let |
|
392 |
val (T, Ts') = mk (1::p) Ts; |
|
393 |
val (U, Ts'') = mk (2::p) Ts' |
|
394 |
in (mk_prodT (T, U), Ts'') end |
|
395 |
else (hd Ts, tl Ts) |
|
396 |
in fst o mk [] end; |
|
397 |
||
398 |
fun strip_split t = |
|
399 |
let |
|
400 |
fun strip [] qs Ts t = (t, Ts, qs) |
|
401 |
| strip (p :: ps) qs Ts (Const ("split", _) $ t) = |
|
402 |
strip ((1 :: p) :: (2 :: p) :: ps) (p :: qs) Ts t |
|
403 |
| strip (p :: ps) qs Ts (Abs (s, T, t)) = strip ps qs (T :: Ts) t |
|
404 |
| strip (p :: ps) qs Ts t = strip ps qs |
|
405 |
(hd (binder_types (fastype_of1 (Ts, t))) :: Ts) |
|
406 |
(incr_boundvars 1 t $ Bound 0) |
|
407 |
in strip [[]] [] [] t end; |
|
408 |
||
5207 | 409 |
|
410 |
(* nat *) |
|
411 |
||
412 |
val natT = Type ("nat", []); |
|
413 |
||
22994 | 414 |
val zero = Const ("HOL.zero_class.zero", natT); |
5207 | 415 |
|
22994 | 416 |
fun is_zero (Const ("HOL.zero_class.zero", _)) = true |
5207 | 417 |
| is_zero _ = false; |
418 |
||
419 |
fun mk_Suc t = Const ("Suc", natT --> natT) $ t; |
|
420 |
||
421 |
fun dest_Suc (Const ("Suc", _) $ t) = t |
|
422 |
| dest_Suc t = raise TERM ("dest_Suc", [t]); |
|
423 |
||
21621 | 424 |
val Suc_zero = mk_Suc zero; |
425 |
||
23297 | 426 |
fun mk_nat (n: integer) = |
22994 | 427 |
let |
428 |
fun mk 0 = zero |
|
23297 | 429 |
| mk n = mk_Suc (mk (n - 1)); |
23576
1ffe739e5ee0
removed dest_cTrueprop (cf. ObjectLogic.dest_judgment);
wenzelm
parents:
23566
diff
changeset
|
430 |
in if n < 0 then raise TERM ("mk_nat: negative number", []) else mk n end; |
5207 | 431 |
|
23297 | 432 |
fun dest_nat (Const ("HOL.zero_class.zero", _)) = (0: integer) |
433 |
| dest_nat (Const ("Suc", _) $ t) = dest_nat t + 1 |
|
5207 | 434 |
| dest_nat t = raise TERM ("dest_nat", [t]); |
435 |
||
22994 | 436 |
val class_size = "Nat.size"; |
437 |
||
438 |
fun size_const T = Const ("Nat.size_class.size", T --> natT); |
|
439 |
||
5207 | 440 |
|
21778
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
441 |
(* bit *) |
7073 | 442 |
|
15620
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
443 |
val bitT = Type ("Numeral.bit", []); |
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
444 |
|
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
445 |
val B0_const = Const ("Numeral.bit.B0", bitT); |
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
446 |
val B1_const = Const ("Numeral.bit.B1", bitT); |
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
447 |
|
21778
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
448 |
fun mk_bit 0 = B0_const |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
449 |
| mk_bit 1 = B1_const |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
450 |
| mk_bit _ = raise TERM ("mk_bit", []); |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
451 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
452 |
fun dest_bit (Const ("Numeral.bit.B0", _)) = 0 |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
453 |
| dest_bit (Const ("Numeral.bit.B1", _)) = 1 |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
454 |
| dest_bit t = raise TERM ("dest_bit", [t]); |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
455 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
456 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
457 |
(* binary numerals and int -- non-unique representation due to leading zeros/ones! *) |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
458 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
459 |
val intT = Type ("IntDef.int", []); |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
460 |
|
20485 | 461 |
val pls_const = Const ("Numeral.Pls", intT) |
462 |
and min_const = Const ("Numeral.Min", intT) |
|
23247 | 463 |
and bit_const = Const ("Numeral.Bit", intT --> bitT --> intT); |
8768 | 464 |
|
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
465 |
fun mk_numeral 0 = pls_const |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
466 |
| mk_numeral ~1 = min_const |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
467 |
| mk_numeral i = |
23247 | 468 |
let val (q, r) = Integer.divmod i 2 |
469 |
in bit_const $ mk_numeral q $ mk_bit (Integer.machine_int r) end; |
|
13755 | 470 |
|
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
471 |
fun dest_numeral (Const ("Numeral.Pls", _)) = 0 |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
472 |
| dest_numeral (Const ("Numeral.Min", _)) = ~1 |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
473 |
| dest_numeral (Const ("Numeral.Bit", _) $ bs $ b) = |
23297 | 474 |
2 * dest_numeral bs + Integer.int (dest_bit b) |
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
475 |
| dest_numeral t = raise TERM ("dest_numeral", [t]); |
13755 | 476 |
|
22994 | 477 |
fun number_of_const T = Const ("Numeral.number_class.number_of", intT --> T); |
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
478 |
|
23269 | 479 |
fun add_numerals (Const ("Numeral.number_class.number_of", Type (_, [_, T])) $ t) = cons (t, T) |
480 |
| add_numerals (t $ u) = add_numerals t #> add_numerals u |
|
481 |
| add_numerals (Abs (_, _, t)) = add_numerals t |
|
482 |
| add_numerals _ = I; |
|
22391 | 483 |
|
22994 | 484 |
fun mk_number T 0 = Const ("HOL.zero_class.zero", T) |
485 |
| mk_number T 1 = Const ("HOL.one_class.one", T) |
|
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
486 |
| mk_number T i = number_of_const T $ mk_numeral i; |
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
487 |
|
22994 | 488 |
fun dest_number (Const ("HOL.zero_class.zero", T)) = (T, 0) |
489 |
| dest_number (Const ("HOL.one_class.one", T)) = (T, 1) |
|
490 |
| dest_number (Const ("Numeral.number_class.number_of", Type ("fun", [_, T])) $ t) = |
|
491 |
(T, dest_numeral t) |
|
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
492 |
| dest_number t = raise TERM ("dest_number", [t]); |
13755 | 493 |
|
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
494 |
|
13755 | 495 |
(* real *) |
496 |
||
16971 | 497 |
val realT = Type ("RealDef.real", []); |
13755 | 498 |
|
499 |
||
21755 | 500 |
(* nibble *) |
501 |
||
502 |
val nibbleT = Type ("List.nibble", []); |
|
13755 | 503 |
|
21755 | 504 |
fun mk_nibble n = |
505 |
let val s = |
|
506 |
if 0 <= n andalso n <= 9 then chr (n + ord "0") |
|
507 |
else if 10 <= n andalso n <= 15 then chr (n + ord "A" - 10) |
|
508 |
else raise TERM ("mk_nibble", []) |
|
509 |
in Const ("List.nibble.Nibble" ^ s, nibbleT) end; |
|
17083 | 510 |
|
21755 | 511 |
fun dest_nibble t = |
512 |
let fun err () = raise TERM ("dest_nibble", [t]) in |
|
513 |
(case try (unprefix "List.nibble.Nibble" o fst o Term.dest_Const) t of |
|
514 |
NONE => err () |
|
515 |
| SOME c => |
|
516 |
if size c <> 1 then err () |
|
517 |
else if "0" <= c andalso c <= "9" then ord c - ord "0" |
|
518 |
else if "A" <= c andalso c <= "F" then ord c - ord "A" + 10 |
|
519 |
else err ()) |
|
520 |
end; |
|
15062 | 521 |
|
21455 | 522 |
|
523 |
(* char *) |
|
524 |
||
525 |
val charT = Type ("List.char", []); |
|
526 |
||
21755 | 527 |
fun mk_char n = |
528 |
if 0 <= n andalso n <= 255 then |
|
529 |
Const ("List.char.Char", nibbleT --> nibbleT --> charT) $ |
|
530 |
mk_nibble (n div 16) $ mk_nibble (n mod 16) |
|
531 |
else raise TERM ("mk_char", []); |
|
21455 | 532 |
|
21755 | 533 |
fun dest_char (Const ("List.char.Char", _) $ t $ u) = |
534 |
dest_nibble t * 16 + dest_nibble u |
|
535 |
| dest_char t = raise TERM ("dest_char", [t]); |
|
21455 | 536 |
|
21755 | 537 |
|
538 |
(* list *) |
|
21455 | 539 |
|
21755 | 540 |
fun listT T = Type ("List.list", [T]); |
21455 | 541 |
|
21755 | 542 |
fun mk_list T ts = |
21455 | 543 |
let |
21755 | 544 |
val lT = listT T; |
545 |
val Nil = Const ("List.list.Nil", lT); |
|
546 |
fun Cons t u = Const ("List.list.Cons", T --> lT --> lT) $ t $ u; |
|
547 |
in fold_rev Cons ts Nil end; |
|
548 |
||
549 |
fun dest_list (Const ("List.list.Nil", _)) = [] |
|
550 |
| dest_list (Const ("List.list.Cons", _) $ t $ u) = t :: dest_list u |
|
551 |
| dest_list t = raise TERM ("dest_list", [t]); |
|
21455 | 552 |
|
553 |
||
554 |
(* string *) |
|
555 |
||
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
556 |
val stringT = Type ("List.string", []); |
21455 | 557 |
|
21755 | 558 |
val mk_string = mk_list charT o map (mk_char o ord) o explode; |
559 |
val dest_string = implode o map (chr o dest_char) o dest_list; |
|
21455 | 560 |
|
923 | 561 |
end; |