test/Tools/isac/ProgLang/evaluate.sml
changeset 60331 40eb8aa2b0d6
parent 60309 70a1d102660d
parent 60330 e5e9a6c45597
child 60336 dcb37736d573
     1.1 --- a/test/Tools/isac/ProgLang/evaluate.sml	Mon Jun 21 22:08:01 2021 +0200
     1.2 +++ b/test/Tools/isac/ProgLang/evaluate.sml	Sun Jul 18 18:15:27 2021 +0200
     1.3 @@ -14,9 +14,10 @@
     1.4  "----------- calculate from Prog --------------------------------- -----------------------------";
     1.5  "----------- calculate from script --requires 'setup'----";
     1.6  "----------- calculate check test-root-equ --------------";
     1.7 -"----------- check calcul,ate bottom up -----------------";
     1.8 +"----------- check calculate bottom up -----------------";
     1.9  "----------- Prog_Expr.pow Power.power_class.power ---------";
    1.10 -" ================= evaluate.sml: calculate_ 2002 ======";
    1.11 +"----------- fun cancel_int --------------------------------------------------------------------";
    1.12 +"----------- RE-BUILD fun calcul ---------------------------------------------------------------";
    1.13  "----------- get_pair with 3 args -----------------------";
    1.14  "----------- calculate (2 * x is_const) -----------------";
    1.15  "----------- fun get_pair: examples ------------------------------------------------------------";
    1.16 @@ -45,12 +46,12 @@
    1.17  (* fun rewrite__set_ \<longrightarrow> fun rew_once works the same way *)
    1.18  val t = TermC.str2term "((1+2)*4/3) \<up> 2";
    1.19  val thy = @{theory};
    1.20 -val times =  (\<^const_name>\<open>times\<close>, eval_binop "#mult_") : string * Eval_Def.eval_fn;
    1.21 -val plus =   (\<^const_name>\<open>plus\<close>,eval_binop "#add_") : string * Eval_Def.eval_fn;
    1.22 -val divide = (\<^const_name>\<open>divide\<close>  ,eval_cancel "#divide_e") : string * Eval_Def.eval_fn;
    1.23 -val pow =    (\<^const_name>\<open>powr\<close>  ,eval_binop "#power_") : string * Eval_Def.eval_fn;
    1.24 +val times =  ("Groups.times_class.times", eval_binop "#mult_") : string * Eval_Def.eval_fn;
    1.25 +val plus =   ("Groups.plus_class.plus", eval_binop "#add_") : string * Eval_Def.eval_fn;
    1.26 +val divide = ("Rings.divide_class.divide", eval_cancel "#divide_e") : string * Eval_Def.eval_fn;
    1.27 +val pow =    ("Transcendental.powr", eval_binop "#power_") : string * Eval_Def.eval_fn;
    1.28  
    1.29 -"~~~~~ fun calculate_, args:"; val (thy, isa_fn, t) = (thy, plus, t);
    1.30 +"~~~~~ fun calculate_ , args:"; val (thy, isa_fn, t) = (thy, plus, t);
    1.31  val SOME ("#: 1 + 2 = 3", adh_thm) = adhoc_thm @{theory} isa_fn t;
    1.32  val SOME (t', []) = rewrite__ thy 0 [] e_rew_ord Rule_Set.empty true adh_thm t;
    1.33  if UnparseC.term t' = "(3 * 4 / 3) \<up> 2" then () else error "calculate_  1 + 2 = 3  changed";
    1.34 @@ -76,7 +77,7 @@
    1.35  val thy = @{theory "Test"};
    1.36  val fmz = ["realTestGiven (((1+2)*4/3) \<up> 2)", "realTestFind s"];
    1.37  val (dI',pI',mI') =
    1.38 -  ("Test",["calculate", "test"],["Test", "test_calculate"]);
    1.39 +  ("Test", ["calculate", "test"], ["Test", "test_calculate"]);
    1.40  
    1.41  val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
    1.42  val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
    1.43 @@ -107,23 +108,23 @@
    1.44  "----------- calculate check test-root-equ --------------";
    1.45  (*(1): 2nd Test_simplify didn't work:
    1.46  val ct =
    1.47 -  "sqrt (x \<up> 2 + -3 * x) = (-3 + 2 * x + -1 * (9 + 4 * x)) / (-1 * 2)"
    1.48 +  "sqrt (x \<up> 2 + -3 * x) = (-3 + 2 * x + - 1 * (9 + 4 * x)) / (- 1 * 2)"
    1.49  > val rls = ("Test_simplify");
    1.50  > val (ct,_) = the (rewrite_set thy' ("tval_rls") false rls ct);
    1.51  val ct = "sqrt (x \<up> 2 + -3 * x) =
    1.52 -(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))";
    1.53 +(-9) / (- 2) + (-3 / (- 2) + (x * ((-4) / (- 2)) + x * (2 / (- 2))))";
    1.54  ie. cancel does not work properly
    1.55  *)
    1.56   val thy = @{theory "Test"};
    1.57   val op_ = the (LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "DIVIDE"));
    1.58   val ct = ThmC_Def.num_to_Free @{term
    1.59 -   "sqrt (x \<up> 2 + -3 * x) = (-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))"};
    1.60 +   "sqrt (x \<up> 2 + -3 * x) = (-9) / (- 2) + (-3 / (- 2) + (x * ((-4) / (- 2)) + x * (2 / (- 2))))"};
    1.61  case calculate_ thy op_ ct of
    1.62    SOME _ => ()
    1.63  | NONE => error "calculate_ test-root-equ changed";
    1.64  (*
    1.65             sqrt (x \<up> 2 + -3 * x) =\
    1.66 - \(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))
    1.67 + \(-9) / (- 2) + (-3 / (- 2) + (x * ((-4) / (- 2)) + x * (2 / (- 2))))
    1.68  ............... does not work *)
    1.69  
    1.70  (*--------------(2): does divide work in Test_simplify ?: ------*)
    1.71 @@ -148,7 +149,7 @@
    1.72  "----------- check calculate bottom up ------------------";
    1.73  "----------- check calculate bottom up ------------------";
    1.74  (*-------------- eval_cancel works: *)
    1.75 - Rewrite.trace_on := false;
    1.76 + Rewrite.trace_on := false; (*true false*)
    1.77   val thy = @{theory Test};
    1.78   val rls = Test_simplify;
    1.79   val t = (Thm.term_of o the o (TermC.parse thy)) "(-4) / 2";
    1.80 @@ -158,22 +159,25 @@
    1.81  (*--------------(5): reproduce (1) with simpler term: ------------*)
    1.82   val t = (Thm.term_of o the o (TermC.parse thy)) "(3+5)/2";
    1.83  case rewrite_set_ thy false rls t of
    1.84 -  SOME (Free ("4", _), []) => ()
    1.85 -| _ => error "rewrite_set_ (3+5)/2 changed";
    1.86 +  SOME (t', []) =>
    1.87 +    if UnparseC.term t' = "4" then ()
    1.88 +    else error "rewrite_set_ (3+5)/2 changed 1"
    1.89 +| _ => error "rewrite_set_ (3+5)/2 changed 2";
    1.90  
    1.91   val t = (Thm.term_of o the o (TermC.parse thy)) "(3+1+2*x)/2";
    1.92  case rewrite_set_ thy false rls t of
    1.93 -  SOME (Const (\<^const_name>\<open>plus\<close>, _) $ Free ("2", _) $ Free ("x", _), []) => ()
    1.94 -| _ => error "rewrite_set_ (3+1+2*x)/2 changed";
    1.95 +  SOME (t', _) =>   (*WAS "x + 2" WITH OLD numerals TOODOO?*)
    1.96 +    if UnparseC.term t' = "2 + x" then () else error "rewrite_set_ (3+1+2*x)/2 changed 1"
    1.97 +| _ => error "rewrite_set_ (3+1+2*x)/2 changed 2";
    1.98  
    1.99 - Rewrite.trace_on:=false; (*=true3.6.03*)
   1.100 + Rewrite.trace_on := false; (*true false*)
   1.101  
   1.102  (*--- Rewrite.trace_on before correction of ... --------------------
   1.103 - val ct = "(-3 + 2 * x + -1) / 2";
   1.104 + val ct = "(-3 + 2 * x + - 1) / 2";
   1.105   val (ct,_) = the (rewrite_set thy'  false rls ct);
   1.106  :
   1.107  ### trying thm 'root_ge0_2'
   1.108 -### rewrite_set_: x + (-1 + -3) / 2
   1.109 +### rewrite_set_: x + (- 1 + -3) / 2
   1.110  ### trying thm 'radd_real_const_eq'
   1.111  ### trying thm 'radd_real_const'
   1.112  ### rewrite_set_: x + (-4) / 2
   1.113 @@ -181,26 +185,27 @@
   1.114  :
   1.115  "x + (-4) / 2"
   1.116  -------------------------------------while before Isabelle20002:
   1.117 - val ct = "(#-3 + #2 * x + #-1) // #2";
   1.118 + val ct = "(#-3 + #2 * x + #- 1) // #2";
   1.119   val (ct,_) = the (rewrite_set thy'  false rls ct);
   1.120  :
   1.121  ### trying thm 'root_ge0_2'
   1.122 -### rewrite_set_: x + (#-1 + #-3) // #2
   1.123 +### rewrite_set_: x + (#- 1 + #-3) // #2
   1.124  ### trying thm 'radd_real_const_eq'
   1.125  ### trying thm 'radd_real_const'
   1.126  ### rewrite_set_: x + #-4 // #2
   1.127 -### rewrite_set_: x + #-2
   1.128 +### rewrite_set_: x + #- 2
   1.129  ### trying thm 'rcollect_right'
   1.130  :
   1.131 -"#-2 + x"
   1.132 +"#- 2 + x"
   1.133  -----------------------------------------------------------------*)
   1.134  
   1.135  
   1.136  (*===================*)
   1.137   Rewrite.trace_on:=false; (*WN130722: =true stopped Test_Isac.thy*)
   1.138 - val t = (Thm.term_of o the o (TermC.parse thy))  "x + (-1 + -3) / 2";
   1.139 + val t = (Thm.term_of o the o (TermC.parse thy))  "x + (- 1 + -3) / 2";
   1.140  val SOME (res, []) = rewrite_set_ thy false rls t;
   1.141 -if UnparseC.term res = "-2 + x" then () else error "rewrite_set_  x + (-1 + -3) / 2  changed";
   1.142 +                 (*WAS "x + - 2" WITH OLD numerals TOODOO?*)
   1.143 +if UnparseC.term res = "- 2 + x" then () else error "rewrite_set_  x + (- 1 + -3) / 2  changed";
   1.144  "x + (-4) / 2";						
   1.145  (*
   1.146  ### trying calc. 'cancel'
   1.147 @@ -217,24 +222,6 @@
   1.148  
   1.149   Rewrite.trace_on:=false; (*WN130722: =true stopped Test_Isac.thy*)
   1.150  
   1.151 -"----------- Prog_Expr.pow Power.power_class.power ---------";
   1.152 -"----------- Prog_Expr.pow Power.power_class.power ---------";
   1.153 -"----------- Prog_Expr.pow Power.power_class.power ---------";
   1.154 -val t = (Thm.term_of o the o (parseold thy)) "1 ^ aaa";
   1.155 -TermC.atomty t;
   1.156 -(*** -------------
   1.157 -*** Const ( Nat.power, ['a, nat] => 'a)
   1.158 -*** . Free ( 1, 'a)
   1.159 -*** . Free ( aaa, nat) *)
   1.160 -
   1.161 -val t = TermC.str2term "1 \<up> aaa";
   1.162 -TermC.atomty t;
   1.163 -(**** 
   1.164 -*** Const (Prog_Expr.pow, real => real => real)
   1.165 -*** . Free (1, real)
   1.166 -*** . Free (aaa, real)
   1.167 -*** *);
   1.168 -
   1.169  " ================= evaluate.sml: calculate_ 2002 =================== ";
   1.170  " ================= evaluate.sml: calculate_ 2002 =================== ";
   1.171  " ================= evaluate.sml: calculate_ 2002 =================== ";
   1.172 @@ -291,10 +278,64 @@
   1.173    val SOME (id,t') = eval_fn op_ t thy;
   1.174  (*** calc: operator = pow not defined*)
   1.175  
   1.176 -  val (thmid, (Const (op0,t0) $ Free (n1,t1) $ Free(n2,t2))) = (op_, t);
   1.177 -  val SOME (id,t') = eval_binop thmid op_ t thy;
   1.178 +case (op_, t) of
   1.179 +  ("Transcendental.powr",
   1.180 +    Const ("Transcendental.powr", _) $ (Const ("Num.numeral_class.numeral", _) $ (Const ("Num.num.Bit1", _) $ Const ("Num.num.One", _))) $
   1.181 +      (Const ("Num.numeral_class.numeral", _) $ (Const ("Num.num.Bit0", _) $ Const ("Num.num.One", _)))) => ()
   1.182 +| _ => error "3 \<up> 2 CHANGED";
   1.183 +  val SOME (id, t') = eval_binop thmid op_ t thy;
   1.184  (*** calc: operator = pow not defined*)
   1.185  
   1.186 +if UnparseC.term t' = "3 \<up> 2 = 9" then () else error "eval_binop  3 \<up> 2 = 9  CHANGED";
   1.187 +
   1.188 +
   1.189 +"----------- fun cancel_int --------------------------------------------------------------------";
   1.190 +"----------- fun cancel_int --------------------------------------------------------------------";
   1.191 +"----------- fun cancel_int --------------------------------------------------------------------";
   1.192 +if cancel_int (~4, 2) = (~1, (2, 1)) then () else error "cancel_int (~4, 2) CHANGED";
   1.193 +if cancel_int (4, ~8) = (~1, (1, 2)) then () else error "cancel_int (4, ~8) CHANGED";
   1.194 +if cancel_int (6, 4) = (1, (3, 2)) then () else error "cancel_int (6, 4)CHANGED";
   1.195 +
   1.196 +
   1.197 +"----------- RE-BUILD fun calcul ---------------------------------------------------------------";
   1.198 +"----------- RE-BUILD fun calcul ---------------------------------------------------------------";
   1.199 +"----------- RE-BUILD fun calcul ---------------------------------------------------------------";
   1.200 +val (t1, t2) = (@{term 3}, @{term "2::real"});
   1.201 +
   1.202 +"~~~~~ fun calcul , args:"; val (op_, (t1, t2)) = ("Groups.plus_class.plus", (t1, t2));
   1.203 +    val (Const ("Num.numeral_class.numeral", _) $ n1) = t1;
   1.204 +    val (Const ("Num.numeral_class.numeral", _) $ n2) = t2;
   1.205 +    val (T, _) = HOLogic.dest_number t1
   1.206 +    val (i1, i2) = (HOLogic.dest_numeral n1, HOLogic.dest_numeral n2)
   1.207 +    val result =
   1.208 +      case op_ of
   1.209 +        "Groups.plus_class.plus" => i1 + i2
   1.210 +      | "Groups.minus_class.minus" => i1 - i2
   1.211 +      | "Groups.times_class.times" => i1 * i2
   1.212 +      | "Transcendental.powr" => power i1 i2
   1.213 +      | str => raise ERROR ("calcul not impl.for op_ " ^ str)
   1.214 +  (*in*)
   1.215 +    val xxx = HOLogic.mk_number T result;
   1.216 +  (*end*)
   1.217 +case HOLogic.dest_number xxx of
   1.218 +  (_, 5) => ()
   1.219 +| _ => error "calcul + 2 3 CHANGED";
   1.220 +
   1.221 +case HOLogic.dest_number (calcul "Groups.minus_class.minus" (t1, t2)) of
   1.222 +  (_, 1) => xxx
   1.223 +| _ => error "calcul - 2 3 CHANGED";
   1.224 +
   1.225 +case HOLogic.dest_number (calcul "Groups.times_class.times" (t1, t2)) of
   1.226 +  (_, 6) => xxx
   1.227 +| _ => error "calcul - 2 3 CHANGED";
   1.228 +
   1.229 +(*                       (calcul "Rings.divide_class.divide" (t1, t2)
   1.230 +ERROR: calcul not impl.for op_ Rings.divide_class.divide*)
   1.231 +
   1.232 +case HOLogic.dest_number (calcul "Transcendental.powr" (t1, t2)) of
   1.233 +  (_, 9) => xxx
   1.234 +| _ => error "calcul - 2 3 CHANGED";
   1.235 +
   1.236  
   1.237  "----------- get_pair with 3 args --------------------------------";
   1.238  "----------- get_pair with 3 args --------------------------------";
   1.239 @@ -303,11 +344,11 @@
   1.240      (thy, "EqSystem.occur_exactly_in", 
   1.241       assoc_calc' (@{theory "EqSystem"}) "occur_exactly_in" |> snd |> snd,
   1.242       TermC.str2term
   1.243 -      "[] from [c, c_2, c_3, c_4] occur_exactly_in -1 * (q_0 * L \<up> 2) / 2"
   1.244 +      "[] from [c, c_2, c_3, c_4] occur_exactly_in - 1 * (q_0 * L \<up> 2) / 2"
   1.245        );
   1.246  val SOME (str, simpl) = get_pair thy op_ ef arg;
   1.247  if str = 
   1.248 -"[] from [c, c_2, c_3, c_4] occur_exactly_in -1 * (q_0 * L \<up> 2) / 2 = True"
   1.249 +"[] from [c, c_2, c_3, c_4] occur_exactly_in - 1 * (q_0 * L \<up> 2) / 2 = True"
   1.250  then () else error "evaluate.sml get_pair with 3 args:occur_exactly_in";
   1.251  
   1.252  
   1.253 @@ -316,49 +357,50 @@
   1.254  "----------- calculate (2 * x is_const) -----------------";
   1.255  val t = TermC.str2term "2 * x is_const";
   1.256  val SOME (str, t') = eval_const "" "" t @{theory Test};
   1.257 -UnparseC.term t';
   1.258 -"(2 * x is_const) = False";
   1.259 +if UnparseC.term t' = "(2 * x is_const) = False" then ()
   1.260 +else error "eval_const 2 * x is_const CHANGED";
   1.261  
   1.262  val SOME (t',_) = rewrite_set_ @{theory Test} false tval_rls t;
   1.263 -UnparseC.term t';
   1.264 -\<^const_name>\<open>False\<close>;
   1.265 +if UnparseC.term t' = "False" then ()
   1.266 +else error "rewrite_set_ 2 * x is_const CHANGED";
   1.267  
   1.268  "----------- fun get_pair: examples ------------------------------------------------------------";
   1.269  "----------- fun get_pair: examples ------------------------------------------------------------";
   1.270  "----------- fun get_pair: examples ------------------------------------------------------------";
   1.271  val thy = @{theory};
   1.272  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "PLUS");
   1.273 +if isa_str = "Groups.plus_class.plus" then () else error "eval_fn PLUS changed";
   1.274  
   1.275 -val t = (Thm.term_of o the o (TermC.parse thy)) "3 + 4";
   1.276 +val t = @{term "3 + 4 :: real"};
   1.277  val SOME (str, term) = get_pair thy isa_str eval_fn t;
   1.278 -if str =  "#: 3 + 4 = 7" andalso UnparseC.term term = "3 + 4 = 7"
   1.279 -then () else error "get_pair  3 + 4  changed";
   1.280 +(*+*)if str =  "#: 3 + 4 = 7" andalso UnparseC.term term = "3 + 4 = 7"
   1.281 +(*+*)then () else error "get_pair  3 + 4  changed";
   1.282  
   1.283 -val t = (Thm.term_of o the o (TermC.parse thy)) "(a + 3) + 4";
   1.284 +val t = @{term "(a + 3) + 4 :: real"};
   1.285  val SOME (str, term) = get_pair thy isa_str eval_fn t;
   1.286  if str =  "#: a + 3 + 4 = a + 7" andalso UnparseC.term term = "a + 3 + 4 = a + 7"
   1.287  then () else error "get_pair  (a + 3) + 4  changed";
   1.288  
   1.289 -val t = (Thm.term_of o the o (TermC.parse thy)) "(a + 3) + 4";
   1.290 +val t = @{term "(a + 3) + 4 :: real"};
   1.291  val SOME (str, term) = get_pair thy isa_str eval_fn t;
   1.292  if str =  "#: a + 3 + 4 = a + 7" andalso UnparseC.term term = "a + 3 + 4 = a + 7"
   1.293  then () else error "get_pair  (a + 3) + 4  changed";
   1.294  
   1.295 -val t = (Thm.term_of o the o (TermC.parse thy)) "x = 5 * (3 + (4 + a))";
   1.296 +val t = @{term "x = 5 * (3 + (4 + a) :: real)"};
   1.297  val SOME (str, term) = get_pair thy isa_str eval_fn t;
   1.298  if str =  "#: 3 + (4 + a) = 7 + a" andalso UnparseC.term term = "3 + (4 + a) = 7 + a"
   1.299  then ((* !!! gets subterm !!!*)) else error "get_pair  x = 5 * (3 + (4 + a))  (subterm) changed";
   1.300  
   1.301  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "DIVIDE");
   1.302  
   1.303 -val t = (Thm.term_of o the o (TermC.parse thy)) "-4 / -2";
   1.304 +val t = @{term "-4 / - 2 :: real"};
   1.305  val SOME (str, term) = get_pair thy isa_str eval_fn t;
   1.306 -if str =  "#divide_e-4_-2" andalso UnparseC.term term = "-4 / -2 = 2"
   1.307 -then () else error "get_pair  -4 / -2   changed";
   1.308 +if str = "#divide_e~4_~2" andalso UnparseC.term term = "- 4 / - 2 = 2"
   1.309 +then () else error "get_pair  -4 / - 2   changed";
   1.310  
   1.311  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "POWER");
   1.312  
   1.313 -val t = (Thm.term_of o the o (TermC.parse thy)) "2 \<up> 3";
   1.314 +val t = @{term "2 \<up> 3 :: real"};
   1.315  val SOME (str, term) = get_pair thy isa_str eval_fn t;
   1.316  if str =  "#: 2 \<up> 3 = 8" andalso UnparseC.term term = "2 \<up> 3 = 8"
   1.317  then () else error "get_pair  2 \<up> 3   changed";
   1.318 @@ -368,18 +410,17 @@
   1.319  "----------- fun adhoc_thm: examples -----------------------------------------------------------";
   1.320  (*--------------------------------------------------------------------vvvvvvvvvv*)
   1.321  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "is_const");
   1.322 -val SOME t = parseNEW @{context} "9 is_const";
   1.323 +val t = @{term "9 is_const"};
   1.324  val SOME (str, thm) = adhoc_thm thy (isa_str, eval_fn) t;
   1.325  if str = "#is_const_9_" andalso ThmC_Def.string_of_thm thm = "(9 is_const) = True"
   1.326  then () else error "adhoc_thm  9 is_const  changed";
   1.327  
   1.328 -
   1.329  case assoc_calc thy \<^const_name>\<open>less\<close> of
   1.330    "le" => () | _ => error "Orderings.ord_class.less <-> le changed";
   1.331 -(*--------------------------------------------------------------------vvvvvvvvvv*)
   1.332  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "le");
   1.333 +if isa_str = "Orderings.ord_class.less" then () else error "adhoc_thm (4 < 4) = False CHANGED";
   1.334  
   1.335 -val SOME t = parseNEW @{context} "4 < 4";
   1.336 +val t = @{term "4 < (4 :: real)"};
   1.337  val SOME (str, thm) = adhoc_thm thy (isa_str, eval_fn) t;
   1.338  if str = "#less_4_4" andalso ThmC_Def.string_of_thm thm = "(4 < 4) = False"
   1.339  then () else error "adhoc_thm  4 < 4  changed";
   1.340 @@ -388,37 +429,53 @@
   1.341  case adhoc_thm thy (isa_str, eval_fn) t of
   1.342  NONE => () | _ => error "adhoc_thm  a < 4  does NOT result in NONE";
   1.343  
   1.344 -
   1.345 -(*--------------------------------------------------------------------vvvvvvvvvv*)
   1.346  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "PLUS");
   1.347 -val SOME t = parseNEW @{context} "1 + 2";
   1.348 +val SOME t = parseNEW @{context} "1 + (2::real)";
   1.349  val SOME (str, thm) = adhoc_thm thy (isa_str, eval_fn) t;
   1.350  if str = "#: 1 + 2 = 3" andalso ThmC_Def.string_of_thm thm = "1 + 2 = 3"
   1.351  then () else error "adhoc_thm  1 + 2  changed";
   1.352  
   1.353 -(*--------------------------------------------------------------------vvvvvvvvvv*)
   1.354  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "DIVIDE");
   1.355 -val SOME t = parseNEW @{context} "6 / -8";
   1.356 +val t = @{term "6 / -8 :: real"};
   1.357  val SOME (str, thm) = adhoc_thm thy (isa_str, eval_fn) t;
   1.358 -if str = "#divide_e6_-8" andalso ThmC_Def.string_of_thm thm = "6 / -8 = -3 / 4"
   1.359 -then () else error "adhoc_thm  1 + 2  changed";
   1.360 -
   1.361 +if str = "#divide_e6_~8" andalso ThmC_Def.string_of_thm thm = "6 / - 8 = - 3 / 4"
   1.362 +then () else error "adhoc_thm  6 / -8 = - 3 / 4  changed";
   1.363  
   1.364  case assoc_calc thy "Prog_Expr.ident" of
   1.365    "ident" => () | _ => error "Prog_Expr.ident <-> ident  changed";
   1.366 -(*--------------------------------------------------------------------vvvvvvvvvv*)
   1.367  val SOME (isa_str, eval_fn) = LibraryC.assoc (KEStore_Elems.get_calcs @{theory}, "ident");
   1.368  
   1.369 -val SOME t = parseNEW @{context} "3 =!= 3";
   1.370 +val t = @{term "3 =!= (3 :: real)"};
   1.371  val SOME (str, thm) = adhoc_thm thy (isa_str, eval_fn) t;
   1.372  if str = "#ident_(3)_(3)" andalso ThmC_Def.string_of_thm thm = "(3 =!= 3) = True"
   1.373  then () else error "adhoc_thm  (3 =!= 3)  changed";
   1.374  
   1.375 -val SOME t = parseNEW @{context} "\<not> (4 + (4 * x + x ^ 2) =!= 0)";
   1.376 +val t = @{term "\<not> ((4 :: real) + (4 * x + x \<up> 2) =!= 0)"};
   1.377  val SOME (str, thm) = adhoc_thm thy (isa_str, eval_fn) t;
   1.378 -if str = "#ident_(4 + (4 * x + x ^ 2))_(0)" andalso ThmC_Def.string_of_thm thm = "(4 + (4 * x + x ^ 2) =!= 0) = False"
   1.379 +if str = "#ident_(4 + (4 * x + x \<up> 2))_(0)" andalso ThmC_Def.string_of_thm thm = "(4 + (4 * x + x \<up> 2) =!= 0) = False"
   1.380  then () else error "adhoc_thm  (\<not> (4 + (4 * x + x ^ 2) =!= 0))  changed";
   1.381  
   1.382 +"----------- fun adhoc_thm \<longrightarrow> exception TYPE --------------------------------------------------";
   1.383 +"----------- fun adhoc_thm \<longrightarrow> exception TYPE --------------------------------------------------";
   1.384 +"----------- fun adhoc_thm \<longrightarrow> exception TYPE --------------------------------------------------";
   1.385 +val t = TermC.str2term "sqrt 4";
   1.386 +
   1.387 +(* TOODOO.1: exception TYPE raised by Skip_Proof.make_thm * )
   1.388 +  exception TYPE raised (line 169 of "consts.ML"): Illegal type
   1.389 +   for constant "HOL.eq" :: real \<Rightarrow> (num \<Rightarrow> real) \<Rightarrow> bool (**)
   1.390 +      Eval.adhoc_thm (ThyC.get_theory "Isac_Knowledge") ("NthRoot.sqrt", eval_sqrt "#sqrt_") t
   1.391 +( **)
   1.392 +"~~~~~ fun adhoc_thm , args:"; val (thy, (op_, eval_fn), ct) =
   1.393 +  ((ThyC.get_theory "Isac_Knowledge"),
   1.394 +    ("NthRoot.sqrt", eval_sqrt "#sqrt_": string -> term -> theory -> (string * term) option), t);
   1.395 +val SOME (thmid, t) =
   1.396 +  (*case*) get_pair thy op_ eval_fn ct (*of*);
   1.397 +(** )
   1.398 +  exception TYPE raised (line 169 of "consts.ML"): Illegal type
   1.399 +   for constant "HOL.eq" :: real \<Rightarrow> (num \<Rightarrow> real) \<Rightarrow> bool (**)
   1.400 +      Skip_Proof.make_thm thy t
   1.401 +( **)
   1.402 +
   1.403  "----------- fun power -------------------------------------------------------------------------";
   1.404  "----------- fun power -------------------------------------------------------------------------";
   1.405  "----------- fun power -------------------------------------------------------------------------";