1 (* title: ProgLang/Prog_Expr.thy
2 functions for expressions (which do NOT contain Prog_Tac and Tactical, by definition))
3 author: Walther Neuper, Aug.2019
4 (c) copyright due to lincense terms.
8 imports Calculate ListC Program
12 Specific constants are defined for pre-conditions of programs and for program-expressions.
13 The constants are connected with ML functions for evaluation of respective expressions
14 (all named eval_*), such that Isac's rewrite engine can handle it.
17 subsection \<open>Power re-defined for a specific type\<close>
18 abbreviation real_powr :: "real \<Rightarrow> real \<Rightarrow> real" (infixr "\<up>" 80)
19 where "x \<up> a \<equiv> x powr a"
21 subsection \<open>consts of functions in pre-conditions and program-expressions\<close>
23 lhs :: "bool => real" (*of an equality*)
24 rhs :: "bool => real" (*of an equality*)
25 Vars :: "'a => real list" (*get the variables of a term *)
26 matches :: "['a, 'a] => bool"
27 matchsub :: "['a, 'a] => bool"
28 some_occur_in :: "[real list, 'a] => bool" ("some'_of _ occur'_in _")
29 occurs_in :: "[real , 'a] => bool" ("_ occurs'_in _")
31 abs :: "real => real" ("(|| _ ||)")
32 (* ~~~ FIXXXME Isabelle2002 has abs already !!!*)
33 absset :: "real set => real" ("(||| _ |||)")
34 (*is numeral constant ?*)
35 is_const :: "real => bool" ("_ is'_const" 10)
36 (*is_const rename to is_num FIXXXME.WN.16.5.03 *)
37 is_atom :: "real => bool" ("_ is'_atom" 10)
38 is_even :: "real => bool" ("_ is'_even" 10)
40 (* identity on term level*)
41 ident :: "['a, 'a] => bool" ("(_ =!=/ _)" [51, 51] 50)
42 argument_in :: "real => real" ("argument'_in _" 10)
43 sameFunId :: "[real, bool] => bool" (* "same_funid _ _" 10
44 WN0609 changed the id, because ".. _ _" inhibits currying *)
45 filter_sameFunId:: "[real, bool list] => bool list" ("filter'_sameFunId _ _" 10)
46 boollist2sum :: "bool list => real"
47 lastI :: "'a list \<Rightarrow> 'a"
49 subsection \<open>ML code for functions in pre-conditions and program-expressions\<close>
53 (*//------------------------- from Tools .thy-------------------------------------------------\\*)
55 val eval_lhs: 'a -> string -> term -> 'b -> (string * term) option
56 val eval_matches: string -> string -> term -> theory -> (string * term) option
57 val matchsub: theory -> term -> term -> bool
58 val eval_matchsub: string -> string -> term -> theory -> (string * term) option
60 val eval_rhs: 'a -> string -> term -> 'b -> (string * term) option
61 val eval_var: string -> string -> term -> theory -> (string * term) option
63 val or2list: term -> term
64 (*\\------------------------- from Tools .thy-------------------------------------------------//*)
65 (*//------------------------- from Atools .thy------------------------------------------------\\*)
66 val occurs_in: term -> term -> bool
67 val eval_occurs_in: 'a -> string -> term -> 'b -> (string * term) option
68 val some_occur_in: term list -> term -> bool
69 val eval_some_occur_in: 'a -> string -> term -> 'b -> (string * term) option
70 val eval_is_atom: string -> string -> term -> 'a -> (string * term) option
72 val eval_is_even: string -> string -> term -> 'a -> (string * term) option
73 val eval_const: string -> string -> term -> 'a -> (string * term) option
74 val eval_equ: string -> string -> term -> 'a -> (string * term) option
75 val eval_ident: string -> string -> term -> theory -> (string * term) option
76 val eval_equal: string -> string -> term -> theory -> (string * term) option
77 val eval_cancel: string -> string -> term -> 'a -> (string * term) option
78 val eval_argument_in: string -> string -> term -> 'a -> (string * term) option
79 val same_funid: term -> term -> bool
80 val eval_sameFunId: string -> string -> term -> 'a -> (string * term) option
81 val eval_filter_sameFunId: string -> string -> term -> 'a -> (string * term) option
82 val list2sum: term list -> term
83 val eval_boollist2sum: string -> string -> term -> 'a -> (string * term) option
85 val mk_thmid_f: string -> (int * int) * (int * int) -> (int * int) * (int * int) -> string
89 structure Prog_Expr(**): PROG_EXPR =(**)
93 (*+ for Or_to_List +*)
94 fun or2list (Const (\<^const_name>\<open>True\<close>,_)) = ((*tracing"### or2list True";*) UniversalList)
95 | or2list (Const (\<^const_name>\<open>False\<close>,_)) = ((*tracing"### or2list False";*) EmptyList)
96 | or2list (t as Const (\<^const_name>\<open>HOL.eq\<close>,_) $ _ $ _) = TermC.list2isalist HOLogic.boolT [t]
99 fun get ls (Const (\<^const_name>\<open>disj\<close>,_) $ o1 $ o2) =
101 Const (\<^const_name>\<open>disj\<close>,_) $ _ $ _ => get (ls @ [o1]) o2
102 | _ => ls @ [o1, o2])
103 | get _ t = raise TERM ("or2list: missing pattern in fun.def", [t])
104 in (((TermC.list2isalist HOLogic.boolT) o (get [])) ors) end
105 (*>val t = @{term True};
106 > val t' = or2list t;
108 "ListC.UniversalList"
109 > val t = @{term False};
110 > val t' = or2list t;
113 > val t=(Thm.term_of o the o (parse thy)) "x=3";
114 > val t' = or2list t;
117 > val t=(Thm.term_of o the o (parse thy))"(x=3) | (x=-3) | (x=0)";
118 > val t' = or2list t;
120 "[x = #3, x = #-3, x = #0]" : string *)
123 (** evaluation on the meta-level **)
125 (*. evaluate the predicate matches (match on whole term only) .*)
126 (*("matches",("Prog_Expr.matches", eval_matches "#matches_")):calc*)
127 fun eval_matches (_:string) "Prog_Expr.matches" (t as Const ("Prog_Expr.matches",_) $ pat $ tst) thy =
128 if TermC.matches thy tst pat
131 val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True}))
132 in SOME (UnparseC.term_in_thy thy prop, prop) end
135 val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False}))
136 in SOME (UnparseC.term_in_thy thy prop, prop) end
137 | eval_matches _ _ _ _ = NONE;
139 > val t = (Thm.term_of o the o (parse thy))
140 "matches (?x = 0) (1 * x \<up> 2 = 0)";
141 > eval_matches "/thmid/" "/op_/" t thy;
144 ("matches (x = 0) (1 * x \<up> 2 = 0) = False",
145 Const (#,#) $ (# $ # $ Const #)) : (string * term) option
147 > val t = (Thm.term_of o the o (parse thy))
148 "matches (?a = #0) (#1 * x \<up> #2 = #0)";
149 > eval_matches "/thmid/" "/op_/" t thy;
152 ("matches (?a = #0) (#1 * x \<up> #2 = #0) = True",
153 Const (#,#) $ (# $ # $ Const #)) : (string * term) option
155 > val t = (Thm.term_of o the o (parse thy))
156 "matches (?a * x = #0) (#1 * x \<up> #2 = #0)";
157 > eval_matches "/thmid/" "/op_/" t thy;
160 ("matches (?a * x = #0) (#1 * x \<up> #2 = #0) = False",
161 Const (#,#) $ (# $ # $ Const #)) : (string * term) option
163 > val t = (Thm.term_of o the o (parse thy))
164 "matches (?a * x \<up> #2 = #0) (#1 * x \<up> #2 = #0)";
165 > eval_matches "/thmid/" "/op_/" t thy;
168 ("matches (?a * x \<up> #2 = #0) (#1 * x \<up> #2 = #0) = True",
169 Const (#,#) $ (# $ # $ Const #)) : (string * term) option
170 ----- before ?patterns ---:
171 > val t = (Thm.term_of o the o (parse thy))
172 "matches (a * b \<up> #2 = c) (#3 * x \<up> #2 = #1)";
173 > eval_matches "/thmid/" "/op_/" t thy;
175 ("matches (a * b \<up> #2 = c) (#3 * x \<up> #2 = #1) = True",
176 Const ("HOL.Trueprop", "bool => prop") $ (Const # $ (# $ #) $ Const (#,#)))
177 : (string * term) option
179 > val t = (Thm.term_of o the o (parse thy))
180 "matches (a * b \<up> #2 = c) (#3 * x \<up> #2222 = #1)";
181 > eval_matches "/thmid/" "/op_/" t thy;
182 SOME ("matches (a * b \<up> #2 = c) (#3 * x \<up> #2222 = #1) = False",
183 Const ("HOL.Trueprop", "bool => prop") $ (Const # $ (# $ #) $ Const (#,#)))
185 > val t = (Thm.term_of o the o (parse thy))
186 "matches (a = b) (x + #1 + #-1 * #2 = #0)";
187 > eval_matches "/thmid/" "/op_/" t thy;
188 SOME ("matches (a = b) (x + #1 + #-1 * #2 = #0) = True",Const # $ (# $ #))
191 (*.does a pattern match some subterm ?.*)
192 fun matchsub thy t pat =
194 fun matchs (t as Const _) = TermC.matches thy t pat
195 | matchs (t as Free _) = TermC.matches thy t pat
196 | matchs (t as Var _) = TermC.matches thy t pat
197 | matchs (Bound _) = false
198 | matchs (t as Abs (_, _, body)) =
199 if TermC.matches thy t pat then true else TermC.matches thy body pat
200 | matchs (t as f1 $ f2) =
201 if TermC.matches thy t pat then true
202 else if matchs f1 then true else matchs f2
205 (*("matchsub",("Prog_Expr.matchsub", eval_matchsub "#matchsub_")):calc*)
206 fun eval_matchsub (_:string) "Prog_Expr.matchsub"
207 (t as Const ("Prog_Expr.matchsub",_) $ pat $ tst) thy =
208 if matchsub thy tst pat
210 let val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True}))
211 in SOME (UnparseC.term_in_thy thy prop, prop) end
213 let val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False}))
214 in SOME (UnparseC.term_in_thy thy prop, prop) end
215 | eval_matchsub _ _ _ _ = NONE;
217 (*get the variables in an isabelle-term*)
218 (*("Vars" ,("Prog_Expr.Vars" , eval_var "#Vars_")):calc*)
219 fun eval_var (thmid:string) "Prog_Expr.Vars" (t as (Const _ $ arg)) thy =
221 val t' = ((TermC.list2isalist HOLogic.realT) o TermC.vars) t;
222 val thmId = thmid ^ UnparseC.term_in_thy thy arg;
223 in SOME (thmId, HOLogic.Trueprop $ (TermC.mk_equality (t, t'))) end
224 | eval_var _ _ _ _ = NONE;
226 (* refer to Thm.lhs_of *)
227 fun lhs (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ l $ _) = l
228 | lhs t = raise ERROR("lhs called with (" ^ UnparseC.term t ^ ")");
229 (*("lhs" ,("Prog_Expr.lhs" , eval_lhs "")):calc*)
230 fun eval_lhs _ "Prog_Expr.lhs" (t as (Const ("Prog_Expr.lhs",_) $ (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ l $ _))) _ =
231 SOME ((UnparseC.term t) ^ " = " ^ (UnparseC.term l),
232 HOLogic.Trueprop $ (TermC.mk_equality (t, l)))
233 | eval_lhs _ _ _ _ = NONE;
235 > val t = (Thm.term_of o the o (parse thy)) "lhs (1 * x \<up> 2 = 0)";
236 > val SOME (id,t') = eval_lhs 0 0 t 0;
237 val id = "Prog_Expr.lhs (1 * x \<up> 2 = 0) = 1 * x \<up> 2" : string
239 val it = "Prog_Expr.lhs (1 * x \<up> 2 = 0) = 1 * x \<up> 2" : string
242 fun rhs (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ _ $ r) = r
243 | rhs t = raise ERROR("rhs called with (" ^ UnparseC.term t ^ ")");
244 (*("rhs" ,("Prog_Expr.rhs" , eval_rhs "")):calc*)
245 fun eval_rhs _ "Prog_Expr.rhs" (t as (Const ("Prog_Expr.rhs",_) $ (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ _ $ r))) _ =
246 SOME (UnparseC.term t ^ " = " ^ UnparseC.term r,
247 HOLogic.Trueprop $ (TermC.mk_equality (t, r)))
248 | eval_rhs _ _ _ _ = NONE;
249 (*\\------------------------- from Prog_Expr.thy-------------------------------------------------//*)
251 (*//------------------------- from Atools.thy------------------------------------------------\\*)
252 fun occurs_in v t = member op = (((map strip_thy) o TermC.ids2str) t) (Term.term_name v);
254 (*("occurs_in", ("Prog_Expr.occurs_in", Prog_Expr.eval_occurs_in ""))*)
255 fun eval_occurs_in _ "Prog_Expr.occurs_in" (p as (Const ("Prog_Expr.occurs_in",_) $ v $ t)) _ =
256 ((*tracing("#>@ eval_occurs_in: v= "^(UnparseC.term v));
257 tracing("#>@ eval_occurs_in: t= "^(UnparseC.term t));*)
259 then SOME ((UnparseC.term p) ^ " = True",
260 HOLogic.Trueprop $ (TermC.mk_equality (p, @{term True})))
261 else SOME ((UnparseC.term p) ^ " = False",
262 HOLogic.Trueprop $ (TermC.mk_equality (p, @{term False}))))
263 | eval_occurs_in _ _ _ _ = NONE;
265 (*some of the (bound) variables (eg. in an eqsys) "vs" occur in term "t"*)
266 fun some_occur_in vs t =
267 let fun occurs_in' a b = occurs_in b a
268 in foldl or_ (false, map (occurs_in' t) vs) end;
270 (*("some_occur_in", ("Prog_Expr.some_occur_in",
271 eval_some_occur_in "#eval_some_occur_in_"))*)
272 fun eval_some_occur_in _ "Prog_Expr.some_occur_in"
273 (p as (Const ("Prog_Expr.some_occur_in",_) $ vs $ t)) _ =
274 if some_occur_in (TermC.isalist2list vs) t
275 then SOME ((UnparseC.term p) ^ " = True",
276 HOLogic.Trueprop $ (TermC.mk_equality (p, @{term True})))
277 else SOME ((UnparseC.term p) ^ " = False",
278 HOLogic.Trueprop $ (TermC.mk_equality (p, @{term False})))
279 | eval_some_occur_in _ _ _ _ = NONE;
281 (*("is_atom",("Prog_Expr.is_atom", Prog_Expr.eval_is_atom "#is_atom_"))*)
282 fun eval_is_atom (thmid:string) "Prog_Expr.is_atom" (t as (Const _ $ arg)) _ =
284 then SOME (TermC.mk_thmid thmid (TermC.string_of_atom arg) "",
285 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
286 else SOME (TermC.mk_thmid thmid (TermC.string_of_atom arg) "",
287 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
288 | eval_is_atom _ _ _ _ = NONE;
290 fun even i = (i div 2) * 2 = i;
291 (*("is_even",("Prog_Expr.is_even", eval_is_even "#is_even_"))*)
292 fun eval_is_even (thmid:string) "Prog_Expr.is_even" (t as (Const _ $ arg)) _ =
296 val i = arg |> HOLogic.dest_number |> snd
299 then SOME (TermC.mk_thmid thmid (string_of_int i) "",
300 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
301 else SOME (TermC.mk_thmid thmid "" "",
302 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
305 | eval_is_even _ _ _ _ = NONE;
307 (*("is_const",("Prog_Expr.is_const", Prog_Expr.eval_const "#is_const_"))*)
308 fun eval_const thmid _ (t as (Const ("Prog_Expr.is_const", _) $ Const ("Partial_Fractions.AA", _))) _ =
309 (*TODO get rid of this special case*)
310 SOME (TermC.mk_thmid thmid (UnparseC.term t) "",
311 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
312 | eval_const thmid _ (t as (Const ("Prog_Expr.is_const", _) $ Const _)) _ =
313 SOME (TermC.mk_thmid thmid (UnparseC.term t) "",
314 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
315 | eval_const thmid _ (t as (Const ("Prog_Expr.is_const", _) $ n)) _ =
317 then SOME (TermC.mk_thmid thmid (TermC.string_of_num n) "",
318 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
319 else SOME (TermC.mk_thmid thmid (UnparseC.term n) "",
320 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
321 | eval_const _ _ _ _ = NONE;
323 (*. evaluate binary, associative, commutative operators: *,+,^ .*)
324 (*("PLUS" ,(\<^const_name>\<open>plus\<close> , (**)eval_binop "#add_")),
325 ("TIMES" ,(\<^const_name>\<open>times\<close> , (**)eval_binop "#mult_")),
326 ("POWER" ,(\<^const_name>\<open>powr\<close> , (**)eval_binop "#power_"))*)
328 (* val (thmid,op_,t as(Const (op0,t0) $ Free (n1,t1) $ Free(n2,t2)),thy) =
329 ("xxxxxx",op_,t,thy);
331 fun mk_thmid_f thmid ((v11, v12), (p11, p12)) ((v21, v22), (p21, p22)) = (* dropped *)
333 (string_of_int v11)^", "^(string_of_int v12)^"), ("^
334 (string_of_int p11)^", "^(string_of_int p12)^")) __ (("^
335 (string_of_int v21)^", "^(string_of_int v22)^"), ("^
336 (string_of_int p21)^", "^(string_of_int p22)^"))";
338 (*.evaluate < and <= for numerals.*)
339 (*("le" ,(\<^const_name>\<open>less\<close> , Prog_Expr.eval_equ "#less_")),
340 ("leq" ,(\<^const_name>\<open>less_eq\<close> , Prog_Expr.eval_equ "#less_equal_"))*)
342 fun eval_equ (thmid:string) (_(*op_*)) (t as (Const (op0, _)) $ t1 $ t2) _ =
343 if TermC.is_num t1 andalso TermC.is_num t2 then
345 val n1 = t1 |> HOLogic.dest_number |> snd
346 val n2 = t2 |> HOLogic.dest_number |> snd
348 if Eval.calc_equ (strip_thy op0) (n1, n2)
349 then SOME (TermC.mk_thmid thmid (string_of_int n1) (string_of_int n2),
350 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
351 else SOME (TermC.mk_thmid thmid (string_of_int n1) (string_of_int n2),
352 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
355 | eval_equ _ _ _ _ = NONE;
360 val it = "(?t = ?t) = True"
361 > val t = str2term "x = 0";
362 > val NONE = rewrite_ thy Rewrite_Ord.dummy_ord Rule_Set.empty false reflI t;
364 > val t = str2term "1 = 0";
365 > val NONE = rewrite_ thy Rewrite_Ord.dummy_ord Rule_Set.empty false reflI t;
366 ----------- thus needs Rule.Eval !
367 > val t = str2term "0 = 0";
368 > val SOME (t',_) = rewrite_ thy Rewrite_Ord.dummy_ord Rule_Set.empty false reflI t;
370 val it = \<^const_name>\<open>True\<close>
372 val t = str2term "Not (x = 0)";
373 atomt t; UnparseC.term t;
379 val it = "x ~= 0" : string*)
381 (*.evaluate identity on the term-level, =!= ,i.e. without evaluation of
382 the arguments: thus special handling by 'fun eval_binop'*)
383 (*("ident" ,("Prog_Expr.ident", Prog_Expr.eval_ident "#ident_")):calc*)
384 fun eval_ident (thmid:string) "Prog_Expr.ident" (t as
385 (Const _(*op0, t0*) $ t1 $ t2 )) thy =
387 then SOME (TermC.mk_thmid thmid
388 ("(" ^ (UnparseC.term_in_thy thy t1) ^ ")")
389 ("(" ^ (UnparseC.term_in_thy thy t2) ^ ")"),
390 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
391 else SOME (TermC.mk_thmid thmid
392 ("(" ^ (UnparseC.term_in_thy thy t1) ^ ")")
393 ("(" ^ (UnparseC.term_in_thy thy t2) ^ ")"),
394 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
395 | eval_ident _ _ _ _ = NONE;
397 > val t = str2term "x =!= 0";
398 > val SOME (str, t') = eval_ident "ident_" "b" t thy;
400 val str = "ident_(x)_(0)" : string
401 val it = "(x =!= 0) = False" : string
402 > val t = str2term "1 =!= 0";
403 > val SOME (str, t') = eval_ident "ident_" "b" t thy;
405 val str = "ident_(1)_(0)" : string
406 val it = "(1 =!= 0) = False" : string
407 > val t = str2term "0 =!= 0";
408 > val SOME (str, t') = eval_ident "ident_" "b" t thy;
410 val str = "ident_(0)_(0)" : string
411 val it = "(0 =!= 0) = True" : string
415 (* evaluate identity of terms, which stay ready for further evaluation;
416 thus returns False only for atoms *)
417 (*("equal" ,(\<^const_name>\<open>HOL.eq\<close>, Prog_Expr.eval_equal "#equal_")):calc*)
418 fun eval_equal (thmid : string) \<^const_name>\<open>HOL.eq\<close> (t as (Const _(*op0,t0*) $ t1 $ t2 )) thy =
421 SOME (TermC.mk_thmid thmid
422 ("(" ^ UnparseC.term_in_thy thy t1 ^ ")") ("(" ^ UnparseC.term_in_thy thy t2 ^ ")"),
423 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
425 (case (TermC.is_atom t1, TermC.is_atom t2) of
427 if TermC.variable_constant_pair (t1, t2)
429 else SOME (TermC.mk_thmid thmid
430 ("(" ^ UnparseC.term_in_thy thy t1 ^ ")") ("(" ^ UnparseC.term_in_thy thy t2 ^ ")"),
431 HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
432 | _ => NONE) (* NOT is_atom t1,t2 --> rew_sub *)
433 | eval_equal _ _ _ _ = NONE; (* error-exit *)
435 (*. evaluate HOL.divide .*)
436 (*("DIVIDE" ,("Rings.divide_class.divide" , eval_cancel "#divide_e"))*)
437 fun eval_cancel thmid "Rings.divide_class.divide" (t as (Const _ $ t1 $ t2)) _ =
438 if TermC.is_num t1 andalso TermC.is_num t2 then
440 val (T, _) = HOLogic.dest_number t1;
441 val (i1, i2) = (Eval.int_of_numeral t1, Eval.int_of_numeral t2);
442 val res_int as (_, (i1', i2')) = Eval.cancel_int (i1, i2);
444 if (i1', i2') = (i1, i2) then NONE
447 val res = TermC.mk_frac T res_int;
448 val prop = HOLogic.Trueprop $ (HOLogic.mk_eq (t, res));
449 in SOME (TermC.mk_thmid thmid (string_of_int i1) (string_of_int i2), prop) end
452 | eval_cancel _ _ _ _ = NONE;
454 (* get the argument from a function-definition *)
455 (*("argument_in" ,("Prog_Expr.argument_in", Prog_Expr.eval_argument_in "Prog_Expr.argument_in"))*)
456 fun eval_argument_in _ "Prog_Expr.argument_in"
457 (t as (Const ("Prog_Expr.argument_in", _) $ (_(*f*) $ arg))) _ =
458 if is_Free arg (*could be something to be simplified before*)
460 SOME (UnparseC.term t ^ " = " ^ UnparseC.term arg,
461 HOLogic.Trueprop $ (TermC.mk_equality (t, arg)))
463 | eval_argument_in _ _ _ _ = NONE;
465 (* check if the function-identifier of the first argument matches
466 the function-identifier of the lhs of the second argument *)
467 (*("sameFunId" ,("Prog_Expr.sameFunId", eval_same_funid "Prog_Expr.sameFunId"))*)
468 fun eval_sameFunId _ "Prog_Expr.sameFunId"
469 (p as Const ("Prog_Expr.sameFunId",_) $ (f1 $ _) $ (Const (\<^const_name>\<open>HOL.eq\<close>, _) $ (f2 $ _) $ _)) _ =
471 then SOME ((UnparseC.term p) ^ " = True",
472 HOLogic.Trueprop $ (TermC.mk_equality (p, @{term True})))
473 else SOME ((UnparseC.term p) ^ " = False",
474 HOLogic.Trueprop $ (TermC.mk_equality (p, @{term False})))
475 | eval_sameFunId _ _ _ _ = NONE;
478 (*.from a list of fun-definitions "f x = ..." as 2nd argument
479 filter the elements with the same fun-identfier in "f y"
481 this is, because Isabelles filter takes more than 1 sec.*)
482 fun same_funid f1 (Const (\<^const_name>\<open>HOL.eq\<close>, _) $ (f2 $ _) $ _) = f1 = f2
483 | same_funid f1 t = raise ERROR ("same_funid called with t = ("
484 ^ UnparseC.term f1 ^ ") (" ^ UnparseC.term t ^ ")");
485 (*("filter_sameFunId" ,("Prog_Expr.filter_sameFunId",
486 eval_filter_sameFunId "Prog_Expr.filter_sameFunId"))*)
487 fun eval_filter_sameFunId _ "Prog_Expr.filter_sameFunId"
488 (p as Const ("Prog_Expr.filter_sameFunId",_) $
490 let val fs' = ((TermC.list2isalist HOLogic.boolT) o
491 (filter (same_funid fid))) (TermC.isalist2list fs)
492 in SOME (UnparseC.term (TermC.mk_equality (p, fs')),
493 HOLogic.Trueprop $ (TermC.mk_equality (p, fs'))) end
494 | eval_filter_sameFunId _ _ _ _ = NONE;
496 (* make a list of terms to a sum *)
497 fun list2sum [] = raise ERROR ("list2sum called with []")
501 fun sum su [s'] = Const (\<^const_name>\<open>plus\<close>,
502 [HOLogic.realT,HOLogic.realT] ---> HOLogic.realT) $ su $ s'
503 | sum su (s'::ss') = sum (Const (\<^const_name>\<open>plus\<close>,
504 [HOLogic.realT,HOLogic.realT] ---> HOLogic.realT) $ su $ s') ss'
505 | sum _ _ = raise ERROR "list2sum: pattern in fun.def is missing"
508 (* make a list of equalities to the sum of the lhs *)
509 (*("boollist2sum" ,("Prog_Expr.boollist2sum" , eval_boollist2sum "")):calc*)
510 fun eval_boollist2sum _ "Prog_Expr.boollist2sum"
511 (p as Const ("Prog_Expr.boollist2sum", _) $ (l as Const (\<^const_name>\<open>Cons\<close>, _) $ _ $ _)) _ =
513 val isal = TermC.isalist2list l
514 val lhss = map lhs isal
515 val sum = list2sum lhss
517 SOME ((UnparseC.term p) ^ " = " ^ (UnparseC.term sum),
518 HOLogic.Trueprop $ (TermC.mk_equality (p, sum)))
520 | eval_boollist2sum _ _ _ _ = NONE;
523 \<close> text \<open>
529 subsection \<open>extend rule-set for evaluating pre-conditions and program-expressions\<close>
531 val prog_expr = Rule_Set.append_rules "prog_expr" prog_expr [\<^rule_eval>\<open>Prog_Expr.rhs\<close> (Prog_Expr.eval_rhs "")];
536 subsection \<open>setup for rule-sets and ML-functions\<close>
538 rule_set_knowledge prog_expr = prog_expr
540 calculation matches = \<open>Prog_Expr.eval_matches "#matches_"\<close>
541 calculation matchsub = \<open>Prog_Expr.eval_matchsub "#matchsub_"\<close>
542 calculation Vars = \<open>Prog_Expr.eval_var "#Vars_"\<close>
543 calculation lhs = \<open>Prog_Expr.eval_lhs ""\<close>
544 calculation rhs = \<open>Prog_Expr.eval_rhs ""\<close>
545 (*\\------------------------- from Tools .thy-------------------------------------------------//*)