neuper@37906
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1 |
(* use"../systest/scriptnew.sml";
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neuper@37906
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2 |
use"systest/scriptnew.sml";
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neuper@37906
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use"scriptnew.sml";
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neuper@37906
|
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*)
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neuper@37906
|
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neuper@37906
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(*contents*)
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neuper@37906
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" --- test 30.4.02 Testterm: Repeat Repeat Or ------------------ ";
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neuper@37906
|
8 |
" --- test 9.5.02 Testeq: While Try Repeat @@ ------------------ ";
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neuper@37981
|
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" --- test 11.5.02 Testeq: let e_e =... in [e_] ------------------ ";
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neuper@37906
|
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" _________________ me + nxt_step from script ___________________ ";
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neuper@37906
|
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" _________________ me + sqrt-equ-test: 1.norm_equation ________ ";
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neuper@37906
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" _________________ equation with x =(-12)/5, but L ={} ------- ";
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neuper@37906
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"------------------ script with Map, Subst (biquadr.equ.)---------";
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neuper@37906
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(*contents*)
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neuper@37906
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15 |
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neuper@37906
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16 |
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neuper@37906
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17 |
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neuper@37906
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neuper@37906
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" --- test 30.4.02 Testterm: Repeat Repeat Or ------------------ ";
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neuper@37906
|
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" --- test 30.4.02 Testterm: Repeat Repeat Or ------------------ ";
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neuper@37906
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" --- test 30.4.02 Testterm: Repeat Repeat Or ------------------ ";
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Test.thy "pbl_testss" [] e_pblID
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neuper@37906
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(["tests"],
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neuper@37906
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[]:(string * string list) list,
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neuper@37926
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26 |
e_rls, NONE, []));
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neuper@37906
|
27 |
store_pbt
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neuper@37906
|
28 |
(prep_pbt Test.thy "pbl_testss_term" [] e_pblID
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neuper@37906
|
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(["met_testterm","tests"],
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neuper@37906
|
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[("#Given" ,["realTestGiven g_"]),
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neuper@37906
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("#Find" ,["realTestFind f_"])
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neuper@37906
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],
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neuper@37926
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e_rls, NONE, []));
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neuper@37906
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store_met
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neuper@37906
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(prep_met Test.thy "met_test_simp" [] e_metID
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neuper@37906
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(*test for simplification*)
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neuper@37906
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(["Test","met_testterm"]:metID,
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neuper@37906
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[("#Given" ,["realTestGiven g_"]),
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neuper@37906
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("#Find" ,["realTestFind f_"])
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neuper@37906
|
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],
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neuper@37906
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{rew_ord'="tless_true",rls'=tval_rls,srls=e_rls,prls=e_rls,calc=[],
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neuper@37906
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crls=tval_rls, nrls=e_rls(*,
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neuper@37906
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asm_rls=[],asm_thm=[]*)},
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neuper@37906
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"Script Testterm (g_::real) = \
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neuper@37906
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\Repeat\
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neuper@37906
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\ ((Repeat (Rewrite rmult_1 False)) Or\
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neuper@37906
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\ (Repeat (Rewrite rmult_0 False)) Or\
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neuper@37906
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\ (Repeat (Rewrite radd_0 False))) g_"
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neuper@37906
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));
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neuper@37906
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val fmz = ["realTestGiven ((0+0)*(1*(1*a)))","realTestFind F"];
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neuper@37906
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val (dI',pI',mI') = ("Test.thy",["met_testterm","tests"],
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neuper@37906
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["Test","met_testterm"]);
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neuper@37906
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(*val p = e_pos'; val c = [];
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neuper@37906
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val nxt = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c EmptyPtree;*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","met_testterm"))*)
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neuper@37906
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(*----script 111 ------------------------------------------------*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*"(#0 + #0) * (#1 * (#1 * a))" nxt= Rewrite ("rmult_1",*)
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neuper@37906
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(*----script 222 ------------------------------------------------*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*"(#0 + #0) * (#1 * a)" nxt= Rewrite ("rmult_1",*)
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neuper@37906
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(*----script 333 ------------------------------------------------*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*"(#0 + #0) * a" nxt= Rewrite ("radd_0",*)
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neuper@37906
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(*----script 444 ------------------------------------------------*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*"#0 * a"*)
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neuper@37906
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(*----script 555 ------------------------------------------------*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*"#0"*)
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neuper@37906
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if p=([4],Res) then ()
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neuper@38031
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else error ("new behaviour in 30.4.02 Testterm: p="^(pos'2str p));
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neuper@37906
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(*----script 666 ------------------------------------------------*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*"#0"*)
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neuper@37906
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if nxt=("End_Proof'",End_Proof') then ()
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neuper@38031
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else error "new behaviour in 30.4.02 Testterm: End_Proof";
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neuper@37906
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neuper@37906
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neuper@37906
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neuper@37906
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neuper@37906
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neuper@37906
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" --- test 9.5.02 Testeq: While Try Repeat @@ ------------------ ";
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neuper@37906
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" --- test 9.5.02 Testeq: While Try Repeat @@ ------------------ ";
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neuper@37906
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" --- test 9.5.02 Testeq: While Try Repeat @@ ------------------ ";
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Test.thy "pbl_testss_eq" [] e_pblID
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neuper@37906
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(["met_testeq","tests"],
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neuper@37981
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[("#Given" ,["boolTestGiven e_e"]),
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neuper@37906
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("#Find" ,["boolTestFind v_i_"])
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neuper@37906
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],
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neuper@37926
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e_rls, NONE, []));
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neuper@37906
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neuper@37906
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store_met
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neuper@37906
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(prep_met Test.thy "met_test_eq1" [] e_metID
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neuper@37906
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(["Test","testeq1"]:metID,
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neuper@37981
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[("#Given",["boolTestGiven e_e"]),
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neuper@37906
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("#Where" ,[]),
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neuper@37906
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("#Find" ,["boolTestFind v_i_"])
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neuper@37906
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],
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neuper@37906
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{rew_ord'="tless_true",rls'=tval_rls,
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neuper@37906
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srls=append_rls "testeq1_srls" e_rls
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neuper@37906
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[Calc ("Test.contains'_root", eval_contains_root"")],
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neuper@37906
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prls=e_rls,calc=[], crls=tval_rls, nrls=e_rls
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neuper@37906
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(*,asm_rls=[],asm_thm=[("square_equation_left","")]*)},
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neuper@37982
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"Script Testeq (e_e::bool) = \
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neuper@37981
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\(While (contains_root e_e) Do \
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neuper@37906
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\((Try (Repeat (Rewrite rroot_square_inv False))) @@ \
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neuper@37906
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\ (Try (Repeat (Rewrite square_equation_left True))) @@ \
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neuper@37906
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\ (Try (Repeat (Rewrite radd_0 False)))))\
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neuper@37981
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\ e_e"
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neuper@37906
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));
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neuper@37906
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neuper@37906
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val fmz = ["boolTestGiven (0+(sqrt(sqrt(sqrt a))^^^2)^^^2=0)",
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neuper@37906
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"boolTestFind v_i_"];
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neuper@37906
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val (dI',pI',mI') = ("Test.thy",["met_testeq","tests"],
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neuper@37906
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["Test","testeq1"]);
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neuper@37906
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val Script sc = (#scr o get_met) ["Test","testeq1"];
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neuper@37906
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atomt sc;
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neuper@37906
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(*val p = e_pos'; val c = [];
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neuper@37906
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val nxt = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c EmptyPtree;*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","testeq1")) *)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val f = Form' (FormKF (~1,EdUndef,1,Nundef,"#0 + sqrt a = #0"))
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neuper@37906
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val nxt = ("Rewrite",Rewrite ("radd_0","#0 + ?k = ?k"))*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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145 |
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neuper@37906
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146 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*** No such constant: "Test.contains'_root" *)
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neuper@37906
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148 |
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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if f=(Form' (FormKF (~1,EdUndef,0,Nundef,"a = 0 ^^^ 2"))) andalso
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neuper@37906
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nxt=("End_Proof'",End_Proof') then ()
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neuper@38031
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else error "different behaviour test 9.5.02 Testeq: While Try Repeat @@";
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neuper@37906
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153 |
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neuper@37906
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154 |
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neuper@37906
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155 |
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neuper@37906
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156 |
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neuper@37981
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" --- test 11.5.02 Testeq: let e_e =... in [e_] --------- ";
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neuper@37981
|
158 |
" --- test 11.5.02 Testeq: let e_e =... in [e_] --------- ";
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neuper@37981
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159 |
" --- test 11.5.02 Testeq: let e_e =... in [e_] --------- ";
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neuper@37906
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160 |
store_met
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neuper@37906
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161 |
(prep_met Test.thy "met_test_let" [] e_metID
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neuper@37906
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(["Test","testlet"]:metID,
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neuper@37981
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163 |
[("#Given",["boolTestGiven e_e"]),
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neuper@37906
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164 |
("#Where" ,[]),
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neuper@37906
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165 |
("#Find" ,["boolTestFind v_i_"])
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neuper@37906
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166 |
],
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neuper@37906
|
167 |
{rew_ord'="tless_true",rls'=tval_rls,
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neuper@37906
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168 |
srls=append_rls "testlet_srls" e_rls
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neuper@37906
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169 |
[Calc ("Test.contains'_root",eval_contains_root"")],
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neuper@37906
|
170 |
prls=e_rls,calc=[], crls=tval_rls, nrls=e_rls
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neuper@37906
|
171 |
(*,asm_rls=[],asm_thm=[("square_equation_left","")]*)},
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neuper@37982
|
172 |
"Script Testeq2 (e_e::bool) = \
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neuper@37981
|
173 |
\(let e_e =\
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neuper@37981
|
174 |
\ ((While (contains_root e_e) Do \
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neuper@37906
|
175 |
\ (Rewrite square_equation_left True))\
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neuper@37981
|
176 |
\ e_e)\
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neuper@37906
|
177 |
\in [e_::bool])"
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neuper@37906
|
178 |
));
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neuper@37906
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179 |
val Script sc = (#scr o get_met) ["Test","testlet"];
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neuper@37906
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180 |
writeln(term2str sc);
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neuper@37906
|
181 |
val fmz = ["boolTestGiven (sqrt a = 0)",
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neuper@37906
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182 |
"boolTestFind v_i_"];
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neuper@37906
|
183 |
val (dI',pI',mI') = ("Test.thy",["met_testeq","tests"],
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neuper@37906
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184 |
["Test","testlet"]);
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neuper@37906
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185 |
(*val p = e_pos'; val c = [];
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neuper@37906
|
186 |
val nxt = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
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187 |
val (p,_,f,nxt,_,pt) = me nxt p c EmptyPtree;*)
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neuper@37906
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188 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
|
189 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
190 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
191 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
192 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
193 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
194 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
195 |
(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","testlet"))*)
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neuper@37906
|
196 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
197 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
198 |
val (p,_,f,nxt,_,pt) = (me nxt p c pt) handle e => print_exn e;
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neuper@37906
|
199 |
if f=(Form' (FormKF (~1,EdUndef,0,Nundef,"[a = 0 ^^^ 2]"))) andalso
|
neuper@37906
|
200 |
nxt=("End_Proof'",End_Proof') then ()
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neuper@38031
|
201 |
else error "different behaviour in test 11.5.02 Testeq: let e_e =... in [e_]";
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neuper@37906
|
202 |
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neuper@37906
|
203 |
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neuper@37906
|
204 |
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neuper@37906
|
205 |
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neuper@37906
|
206 |
" _________________ me + nxt_step from script _________________ ";
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neuper@37906
|
207 |
" _________________ me + nxt_step from script _________________ ";
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neuper@37906
|
208 |
" _________________ me + nxt_step from script _________________ ";
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neuper@37906
|
209 |
val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(5+x))",
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neuper@37906
|
210 |
"solveFor x","solutions L"];
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neuper@37906
|
211 |
val (dI',pI',mI') =
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neuper@37906
|
212 |
("Test.thy",["sqroot-test","univariate","equation","test"],
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neuper@37906
|
213 |
["Test","sqrt-equ-test"]);
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neuper@37906
|
214 |
val Script sc = (#scr o get_met) ["Test","sqrt-equ-test"];
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neuper@37906
|
215 |
writeln(term2str sc);
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neuper@37906
|
216 |
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neuper@37906
|
217 |
"--- s1 ---";
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neuper@37906
|
218 |
(*val p = e_pos'; val c = [];
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neuper@37906
|
219 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
|
220 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
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neuper@37906
|
221 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
|
222 |
"--- s2 ---";
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neuper@37906
|
223 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
224 |
(* val nxt =
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neuper@37906
|
225 |
("Add_Given",
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neuper@37906
|
226 |
Add_Given "equality (sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x))");*)
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neuper@37906
|
227 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
228 |
"--- s3 ---";
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neuper@37906
|
229 |
(* val nxt = ("Add_Given",Add_Given "solveFor x");*)
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neuper@37906
|
230 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
231 |
"--- s4 ---";
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neuper@37906
|
232 |
(* val nxt = ("Add_Given",Add_Given "errorBound (eps = #0)");*)
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neuper@37906
|
233 |
"--- s5 ---";
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neuper@37906
|
234 |
(* val nxt = ("Add_Find",Add_Find "solutions L");*)
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neuper@37906
|
235 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
236 |
"--- s6 ---";
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neuper@37906
|
237 |
(* val nxt = ("Specify_Theory",Specify_Theory "Test.thy");*)
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neuper@37906
|
238 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
239 |
"--- s7 ---";
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neuper@37906
|
240 |
(* val nxt =
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neuper@37906
|
241 |
("Specify_Problem",
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neuper@37906
|
242 |
Specify_Problem ["sqroot-test","univariate","equation","test"]);*)
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neuper@37906
|
243 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
244 |
"--- s8 ---";
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neuper@37906
|
245 |
(* val nxt = ("Specify_Method",Specify_Method ("Test.thy","sqrt-equ-test"));*)
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neuper@37906
|
246 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
247 |
"--- s9 ---";
|
neuper@37906
|
248 |
(* val nxt = ("Apply_Method",Apply_Method ("Test.thy","sqrt-equ-test"));*)
|
neuper@37906
|
249 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
250 |
"--- 1 ---";
|
neuper@37906
|
251 |
(* val nxt = ("Rewrite",Rewrite ("square_equation_left",""));*)
|
neuper@37906
|
252 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
253 |
"--- 2 ---";
|
neuper@37906
|
254 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
255 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
256 |
"--- 3 ---";
|
neuper@37906
|
257 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "rearrange_assoc");*)
|
neuper@37906
|
258 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
259 |
"--- 4 ---";
|
neuper@37906
|
260 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "isolate_root");*)
|
neuper@37906
|
261 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
262 |
"--- 5 ---";
|
neuper@37906
|
263 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
264 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
265 |
"--- 6 ---";
|
neuper@37906
|
266 |
(* val nxt = ("Rewrite",Rewrite ("square_equation_left",""));*)
|
neuper@37906
|
267 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
268 |
"--- 7 ---";
|
neuper@37906
|
269 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
270 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
271 |
"--- 8<> ---";
|
neuper@37906
|
272 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "rearrange_assoc");*)
|
neuper@37906
|
273 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
274 |
"--- 9<> ---";
|
neuper@37906
|
275 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
276 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
277 |
"--- 10<> ---";
|
neuper@37906
|
278 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "norm_equation");*)
|
neuper@37906
|
279 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
280 |
"--- 11<> ---";
|
neuper@37906
|
281 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
282 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
283 |
"--- 12<> ---.";
|
neuper@37906
|
284 |
(* val nxt = ("Rewrite_Set_Inst",Rewrite_Set_Inst (["(bdv,x)"],"isolate_bdv"));*)
|
neuper@37906
|
285 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
286 |
"--- 13<> ---";
|
neuper@37906
|
287 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
288 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
289 |
"--- 14<> ---";
|
neuper@37906
|
290 |
(* nxt = ("Check_Postcond",Check_Postcond ("Test.thy","sqrt-equ-test"));*)
|
neuper@37906
|
291 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
292 |
if f<>(Form' (FormKF (~1,EdUndef,0,Nundef,"[x = 4]")))
|
neuper@38031
|
293 |
then error "scriptnew.sml 1: me + tacs from script: new behaviour"
|
neuper@37906
|
294 |
else ();
|
neuper@37906
|
295 |
"--- 15<> ---";
|
neuper@37906
|
296 |
(* val nxt = ("End_Proof'",End_Proof');*)
|
neuper@37906
|
297 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
298 |
|
neuper@37906
|
299 |
writeln (pr_ptree pr_short pt);
|
neuper@37906
|
300 |
writeln("result: "^((term2str o fst o (get_obj g_result pt)) [])^
|
neuper@37906
|
301 |
"\n=============================================================");
|
neuper@37906
|
302 |
(*get_obj g_asm pt [];
|
neuper@37906
|
303 |
val it = [("#0 <= sqrt x + sqrt (#5 + x)",[1]),("#0 <= #9 + #4 * x",[1]),...*)
|
neuper@37906
|
304 |
|
neuper@37906
|
305 |
|
neuper@37906
|
306 |
|
neuper@37906
|
307 |
|
neuper@37906
|
308 |
|
neuper@37906
|
309 |
" _________________ me + sqrt-equ-test: 1.norm_equation _________________ ";
|
neuper@37906
|
310 |
" _________________ me + sqrt-equ-test: 1.norm_equation _________________ ";
|
neuper@37906
|
311 |
" _________________ me + sqrt-equ-test: 1.norm_equation _________________ ";
|
neuper@37906
|
312 |
val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(5+x))",
|
neuper@37906
|
313 |
"solveFor x","errorBound (eps=0)",
|
neuper@37906
|
314 |
"solutions L"];
|
neuper@37906
|
315 |
val (dI',pI',mI') =
|
neuper@37906
|
316 |
("Test.thy",["sqroot-test","univariate","equation","test"],
|
neuper@37906
|
317 |
["Test","sqrt-equ-test"]);
|
neuper@37906
|
318 |
val Script sc = (#scr o get_met) ["Test","sqrt-equ-test"];
|
neuper@37906
|
319 |
(writeln o term2str) sc;
|
neuper@37906
|
320 |
"--- s1 ---";
|
neuper@37906
|
321 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
322 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
323 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
324 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
325 |
"--- s2 ---";
|
neuper@37906
|
326 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
327 |
(* val nxt = ("Add_Given",
|
neuper@37906
|
328 |
Add_Given "equality (sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x))");*)
|
neuper@37906
|
329 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
330 |
"--- s3 ---";
|
neuper@37906
|
331 |
(* val nxt = ("Add_Given",Add_Given "solveFor x");*)
|
neuper@37906
|
332 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
333 |
"--- s4 ---";
|
neuper@37906
|
334 |
(* val nxt = ("Add_Given",Add_Given "errorBound (eps = #0)");*)
|
neuper@37906
|
335 |
(*val (p,_,f,nxt,_,pt) = me nxt p [1] pt;*)
|
neuper@37906
|
336 |
"--- s5 ---";
|
neuper@37906
|
337 |
(* val nxt = ("Add_Find",Add_Find "solutions L");*)
|
neuper@37906
|
338 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
339 |
"--- s6 ---";
|
neuper@37906
|
340 |
(* val nxt = ("Specify_Theory",Specify_Theory "Test.thy");*)
|
neuper@37906
|
341 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
342 |
"--- s7 ---";
|
neuper@37906
|
343 |
(* val nxt = ("Specify_Problem",
|
neuper@37906
|
344 |
Specify_Problem ["sqroot-test","univariate","equation","test"]);*)
|
neuper@37906
|
345 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
346 |
"--- s8 ---";
|
neuper@37906
|
347 |
(* val nxt = ("Specify_Method",Specify_Method ("Test.thy","sqrt-equ-test"));*)
|
neuper@37906
|
348 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
349 |
"--- s9 ---";
|
neuper@37906
|
350 |
(* val nxt = ("Apply_Method",Apply_Method ("Test.thy","sqrt-equ-test"));*)
|
neuper@37906
|
351 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
352 |
(*"sqrt (9 + 4 * x) = sqrt x + sqrt (5 + x)"*)
|
neuper@37906
|
353 |
"--- !!! x1 --- 1.norm_equation";
|
neuper@37906
|
354 |
(*###*)val nxt = ("Rewrite_Set",Rewrite_Set "norm_equation");
|
neuper@37906
|
355 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
356 |
"--- !!! x2 --- 1.norm_equation";
|
neuper@37906
|
357 |
(*meNEW: "9 + 4 * x = (sqrt x + sqrt (5 + x)) ^^^ 2" -- NICHT norm_equation!!*)
|
neuper@37906
|
358 |
(*meOLD: "sqrt (9 + 4 * x) + -1 * (sqrt x + sqrt (5 + x)) = 0"*)
|
neuper@37906
|
359 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
360 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
361 |
(*"-1 * sqrt x + (-1 * sqrt (5 + x) + sqrt (9 + 4 * x)) = 0"*)
|
neuper@37906
|
362 |
(*(me nxt p [1] pt) handle e => print_exn_G e;*)
|
neuper@37906
|
363 |
"--- !!! x3 --- 1.norm_equation";
|
neuper@37906
|
364 |
(*val nxt = ("Empty_Tac",Empty_Tac) ### helpless*)
|
neuper@37906
|
365 |
(*###*)val nxt = ("Rewrite_Set",Rewrite_Set "rearrange_assoc");
|
neuper@37906
|
366 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
367 |
"--- !!! x4 --- 1.norm_equation";
|
neuper@37906
|
368 |
(*"-1 * sqrt x + -1 * sqrt (5 + x) + sqrt (9 + 4 * x) = 0"*)
|
neuper@37906
|
369 |
(*val nxt = ("Rewrite_Set",Rewrite_Set "isolate_root")*)
|
neuper@37906
|
370 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
371 |
"--- !!! x5 --- 1.norm_equation";
|
neuper@37906
|
372 |
(*"sqrt (9 + 4 * x) = 0 + -1 * (-1 * sqrt x + -1 * sqrt (5 + x))"*)
|
neuper@37906
|
373 |
(* val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");*)
|
neuper@37906
|
374 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
375 |
|
neuper@37906
|
376 |
(*FIXXXXXXXXXXXXXXXXXXXXXXXME reestablish check:
|
neuper@37906
|
377 |
if f= Form'(FormKF(~1,EdUndef,1,Nundef,"sqrt (9 + 4 * x) = sqrt x + sqrt (5 + x)"))
|
neuper@38031
|
378 |
then() else error "new behaviour in test-example 1.norm sqrt-equ-test";
|
neuper@37906
|
379 |
#################################################*)
|
neuper@37906
|
380 |
|
neuper@37906
|
381 |
(* use"../tests/scriptnew.sml";
|
neuper@37906
|
382 |
*)
|
neuper@37906
|
383 |
|
neuper@37906
|
384 |
" _________________ equation with x =(-12)/5, but L ={} ------- ";
|
neuper@37906
|
385 |
|
neuper@37906
|
386 |
val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(-3+x))",
|
neuper@37906
|
387 |
"solveFor x","errorBound (eps=0)",
|
neuper@37906
|
388 |
"solutions L"];
|
neuper@37906
|
389 |
val (dI',pI',mI') =
|
neuper@37906
|
390 |
("Test.thy",["sqroot-test","univariate","equation","test"],
|
neuper@37906
|
391 |
["Test","square_equation"]);
|
neuper@37906
|
392 |
|
neuper@37906
|
393 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
394 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
395 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
396 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
397 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
398 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
399 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
400 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
401 |
(*val nxt = ("Apply_Method",Apply_Method ["Test","square_equation"])*)
|
neuper@37906
|
402 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
403 |
(*val nxt = "square_equation_left",
|
neuper@37906
|
404 |
"[| 0 <= ?a; 0 <= ?b |] ==> (sqrt ?a = ?b) = (?a = ?b ^^^ 2)"))*)
|
neuper@37906
|
405 |
get_assumptions_ pt p;
|
neuper@37906
|
406 |
(*it = [] : string list;*)
|
neuper@37906
|
407 |
trace_rewrite:=true;
|
neuper@37906
|
408 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
409 |
trace_rewrite:=false;
|
neuper@37906
|
410 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
411 |
if asms = [(str2term "0 <= 9 + 4 * x",[1]),
|
neuper@37906
|
412 |
(str2term "0 <= x",[1]),
|
neuper@37906
|
413 |
(str2term "0 <= -3 + x",[1])] then ()
|
neuper@38031
|
414 |
else error "scriptnew.sml diff.behav. in sqrt assumptions 1";
|
neuper@37906
|
415 |
|
neuper@37906
|
416 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
417 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
418 |
(*val nxt = Rewrite ("square_equation_left", *)
|
neuper@37906
|
419 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
420 |
[("0 <= 9 + 4 * x",[1]),("0 <= x",[1]),("0 <= -3 + x",[1])];
|
neuper@37906
|
421 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
422 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
423 |
if asms = [(str2term "0 <= 9 + 4 * x",[1]),
|
neuper@37906
|
424 |
(str2term "0 <= x",[1]),
|
neuper@37906
|
425 |
(str2term "0 <= -3 + x",[1]),
|
neuper@37906
|
426 |
(str2term "0 <= x ^^^ 2 + -3 * x",[6]),
|
neuper@37906
|
427 |
(str2term "0 <= 6 + x",[6])] then ()
|
neuper@38031
|
428 |
else error "scriptnew.sml diff.behav. in sqrt assumptions 2";
|
neuper@37906
|
429 |
|
neuper@37906
|
430 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
431 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
432 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
433 |
(*val nxt = Subproblem ("Test.thy",["linear","univariate","equation","test"*)
|
neuper@37906
|
434 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
435 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
436 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
437 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
438 |
(*val nxt = ("Apply_Method",Apply_Method ["Test","solve_linear"])*)
|
neuper@37906
|
439 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
440 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
441 |
(*val nxt =
|
neuper@37906
|
442 |
("Check_Postcond",Check_Postcond ["linear","univariate","equation","test"])*)
|
neuper@37906
|
443 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
444 |
if asms = [] then ()
|
neuper@38031
|
445 |
else error "scriptnew.sml diff.behav. in sqrt assumptions 3";
|
neuper@37906
|
446 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
447 |
(*val nxt = ("Check_elementwise",Check_elementwise "Assumptions")*)
|
neuper@37906
|
448 |
|
neuper@37906
|
449 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
450 |
if asms = [(str2term "0 <= 9 + 4 * x",[1]),
|
neuper@37906
|
451 |
(str2term "0 <= x",[1]),
|
neuper@37906
|
452 |
(str2term "0 <= -3 + x",[1]),
|
neuper@37906
|
453 |
(str2term "0 <= x ^^^ 2 + -3 * x",[6]),
|
neuper@37906
|
454 |
(str2term "0 <= 6 + x",[6])] then ()
|
neuper@37906
|
455 |
else raise
|
neuper@37906
|
456 |
error "scriptnew.sml: diff.behav. at Check_elementwise [x = -12 / 5]";
|
neuper@37906
|
457 |
|
neuper@37906
|
458 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
459 |
(*val nxt = Check_Postcond ["sqroot-test","univariate","equation","test"])*)
|
neuper@37906
|
460 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
461 |
[("0 <= 9 + 4 * x",[1]),("0 <= x",[1]),("0 <= -3 + x",[1]),
|
neuper@37906
|
462 |
("0 <= x ^^^ 2 + -3 * x",[6]),("0 <= 6 + x",[6]),
|
neuper@37906
|
463 |
("0 <= 6 + -12 / 5 &\n0 <= (-12 / 5) ^^^ 2 + -3 * (-12 / 5) &\n0 <= -3 + -12 / 5 & 0 <= -12 / 5 & 0 <= 9 + 4 * (-12 / 5)",
|
neuper@37906
|
464 |
[13])];
|
neuper@37906
|
465 |
|
neuper@37906
|
466 |
|
neuper@37906
|
467 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
468 |
val Form' (FormKF (_,_,_,_,ff)) = f;
|
neuper@37906
|
469 |
if ff="[x = -12 / 5]"
|
neuper@37906
|
470 |
then writeln("there should be L = []\nthere should be L = []\nthere should be L = []\nthere should be L = []\nthere should be L = []\n")
|
neuper@38031
|
471 |
else error "diff.behav. in scriptnew.sml; root-eq: L = []";
|
neuper@37906
|
472 |
|
neuper@37906
|
473 |
val asms = get_assumptions_ pt p;
|
neuper@37906
|
474 |
if asms = [(str2term "0 <= 9 + 4 * (-12 / 5)",[]),
|
neuper@37906
|
475 |
(str2term "0 <= -12 / 5", []),
|
neuper@37906
|
476 |
(str2term "0 <= -3 + -12 / 5", []),
|
neuper@37906
|
477 |
(str2term "0 <= (-12 / 5) ^^^ 2 + -3 * (-12 / 5)", []),
|
neuper@37906
|
478 |
(str2term "0 <= 6 + -12 / 5", [])] then ()
|
neuper@38031
|
479 |
else error "scriptnew.sml diff.behav. in sqrt assumptions 4";
|
neuper@37906
|
480 |
|
neuper@37906
|
481 |
|
neuper@37906
|
482 |
"------------------ script with Map, Subst (biquadr.equ.)---------";
|
neuper@37906
|
483 |
"------------------ script with Map, Subst (biquadr.equ.)---------";
|
neuper@37906
|
484 |
"------------------ script with Map, Subst (biquadr.equ.)---------";
|
neuper@37906
|
485 |
|
neuper@37906
|
486 |
|
neuper@37906
|
487 |
(*GoOn.5.03. script with Map, Subst (biquadr.equ.)
|
neuper@37906
|
488 |
val scr = Script (((inst_abs thy) o term_of o the o (parse thy))
|
neuper@37982
|
489 |
"Script Biquadrat_poly (e_e::bool) (v_::real) = \
|
neuper@37981
|
490 |
\(let e_e = Substitute [(v_^^^4, v_0_^^^2),(v_^^^2, v_0_)] e_; \
|
neuper@37906
|
491 |
\ L_0_ = (SubProblem (PolyEq_,[univariate,equation], [no_met]) \
|
neuper@37984
|
492 |
\ [BOOL e_e, REAL v_0_]); \
|
neuper@37906
|
493 |
\ L_i_ = Map (((Substitute [(v_0_, v_^^^2)]) @@ \
|
neuper@37906
|
494 |
\ ((Rewrite real_root_positive False) Or \
|
neuper@37906
|
495 |
\ (Rewrite real_root_negative False)) @@ \
|
neuper@37906
|
496 |
\ OrToList) L_0_ \
|
neuper@37906
|
497 |
\ in (flat ....))"
|
neuper@37906
|
498 |
);
|
neuper@37906
|
499 |
|
neuper@37906
|
500 |
*)
|
neuper@37906
|
501 |
|