neuper@38022
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(* Title: test calculation of values for function constants
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neuper@38022
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Author: Walther Neuper 2000
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neuper@38022
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(c) copyright due to lincense terms.
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neuper@37906
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neuper@38022
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12345678901234567890123456789012345678901234567890123456789012345678901234567890
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10 20 30 40 50 60 70 80
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*)
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"--------------------------------------------------------";
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"table of contents --------------------------------------";
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neuper@38022
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"--------------------------------------------------------";
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neuper@41924
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"----------- fun norm -----------------------------------";
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neuper@38022
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"----------- check return value of get_calculation_ ----";
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neuper@38032
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"----------- fun calculate_ -----------------------------";
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neuper@38032
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"----------- fun calculate_ -----------------------------";
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neuper@38032
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"----------- calculate from script ----------------------";
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neuper@38032
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"----------- calculate check test-root-equ --------------";
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neuper@38032
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"----------- check calculate bottom up ------------------";
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neuper@37906
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" ================= calculate.sml:10.8.02 2002:///->/ ======== ";
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" ================= calculate.sml: calculate_ 2002 =================== ";
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neuper@38032
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"----------- get_pair with 3 args -----------------------";
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neuper@38032
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"----------- calculate (2 * x is_const) -----------------";
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neuper@38022
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"--------------------------------------------------------";
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neuper@38022
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"--------------------------------------------------------";
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neuper@38022
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"--------------------------------------------------------";
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neuper@38022
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"----------- check return value of get_calculation_ ----";
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neuper@38022
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"----------- check return value of get_calculation_ ----";
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neuper@38022
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"----------- check return value of get_calculation_ ----";
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neuper@41924
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val thy = @{theory "Poly"};
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neuper@38022
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val cal = snd (assoc1 (! calclist', "is_polyexp"));
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val t = @{term "(x / x) is_polyexp"};
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val SOME (thmID, thm) = get_calculation_ thy cal t;
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(HOLogic.dest_Trueprop (prop_of thm); writeln "all thms wrapped by Trueprop")
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neuper@38022
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handle TERM _ =>
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error "calculate.sml: get_calculation_ must return Trueprop";
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neuper@38022
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neuper@38033
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"----------- fun calculate_ -----------------------------";
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neuper@38033
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"----------- fun calculate_ -----------------------------";
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neuper@38033
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"----------- fun calculate_ -----------------------------";
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neuper@41924
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val thy = @{theory "Test"};
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neuper@38033
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"===== test 1";
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neuper@38033
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val t = (term_of o the o (parse thy)) "1+2";
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val SOME (thmID,thm) = get_calculation_ thy (the(assoc(calclist,"PLUS"))) t;
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neuper@38033
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term2str (prop_of thm) = "1 + 2 = 3";
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"===== test 2";
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val t = (term_of o the o (parse thy)) "((1+2)*4/3)^^^2";
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val SOME (thmID,thm) = get_calculation_ thy (the(assoc(calclist,"PLUS"))) t;
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neuper@41924
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(*========== inhibit exn =======================================================
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neuper@38033
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val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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term2str t = "(3 * 4 / 3) ^^^ 2";
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"===== test 3b -- 2 contiued";
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val SOME (thmID,thm) = get_calculation_ thy (the(assoc(calclist,"TIMES"))) t;
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val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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neuper@38033
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term2str t;
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neuper@38033
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(*val it = "(#12 // #3) ^^^ #2" : string*)
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"===== test 4";
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val SOME (thmID,thm) = get_calculation_ thy(the(assoc(calclist,"DIVIDE")))t;
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val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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neuper@38033
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term2str t;
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(*it = "#4 ^^^ #2" : string*)
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"===== test 5";
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val SOME (thmID,thm) = get_calculation_ thy(the(assoc(calclist,"POWER")))t;
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val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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neuper@38037
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show_types := false;
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neuper@38037
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if term2str t <> "16" then error "calculate.sml: new behaviour in calculate_"
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else ();
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"----------- calculate from script ----------------------";
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neuper@38032
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"----------- calculate from script ----------------------";
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neuper@38032
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"----------- calculate from script ----------------------";
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neuper@37906
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store_pbt
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neuper@41924
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(prep_pbt (@{theory "Test"}) "pbl_ttest" [] e_pblID
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(["test"],
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[],
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e_rls, NONE, []));
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store_pbt
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neuper@41924
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(prep_pbt (@{theory "Test"}) "pbl_ttest_calc" [] e_pblID
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(["calculate","test"],
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[("#Given" ,["realTestGiven t_t"]),
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("#Find" ,["realTestFind s_s"])
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],
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e_rls, NONE, [["Test","test_calculate"]]));
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store_met
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neuper@41924
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(prep_met (@{theory "Test"}) "met_testcal" [] e_metID
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(["Test","test_calculate"]:metID,
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[("#Given" ,["realTestGiven t_t"]),
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("#Find" ,["realTestFind s_s"])
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],
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{rew_ord'="sqrt_right",rls'=tval_rls,srls=e_rls,prls=e_rls,
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calc=[("PLUS" ,("op +" ,eval_binop "#add_")),
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neuper@38034
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("TIMES" ,("Groups.times_class.times" ,eval_binop "#mult_")),
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("DIVIDE" ,("HOL.divide" ,eval_cancel "#divide_")),
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("POWER" ,("Atools.pow" ,eval_binop "#power_"))],
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crls=tval_rls, nrls=e_rls(*,
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asm_rls=[],asm_thm=[]*)},
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"Script STest_simplify (t_t::real) = \
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\(Repeat \
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\ ((Try (Repeat (Calculate PLUS))) @@ \
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\ (Try (Repeat (Calculate TIMES))) @@ \
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\ (Try (Repeat (Calculate DIVIDE))) @@ \
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\ (Try (Repeat (Calculate POWER))))) t_t"
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));
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val fmz = ["realTestGiven (((1+2)*4/3)^^^2)","realTestFind s"];
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neuper@37906
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val (dI',pI',mI') =
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("Test",["calculate","test"],["Test","test_calculate"]);
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neuper@41924
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============ inhibit exn =====================================================*)
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neuper@38035
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(*===== inhibit exn ?===========================================================
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neuper@38037
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GOON after rewriting works in Oct.10
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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt =("Add_Given",Add_Given "realTestGiven (((#1 + #2) * #4 // #3) ^^^#2)")*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Add_Find",Add_Find "realTestFind s") : string * tac*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Specify_Theory",Specify_Theory "Test") : string * tac*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Specify_Problem",Specify_Problem ["calculate","test"])*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Specify_Method",Specify_Method ("Test","test_calculate"))*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Apply_Method",Apply_Method ("Test","test_calculate"))*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@38033
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(*nxt = ("Calculate",Calculate "PLUS")*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Calculate",Calculate "TIMES")*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Calculate",Calculate "DIVIDE")*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Calculate",Calculate "POWER")*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("Check_Postcond",Check_Postcond ["calculate","test"])*)
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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(*nxt = ("End_Proof'",End_Proof')*)
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if f = Form' (FormKF (~1,EdUndef,0,Nundef,"16")) then ()
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neuper@38031
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else error "calculate.sml: script test_calculate changed behaviour";
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neuper@37906
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neuper@37906
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neuper@38032
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"----------- calculate check test-root-equ --------------";
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neuper@38032
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"----------- calculate check test-root-equ --------------";
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neuper@38032
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"----------- calculate check test-root-equ --------------";
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neuper@37906
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(*(1): 2nd Test_simplify didn't work:
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val ct =
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neuper@37906
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"sqrt (x ^^^ 2 + -3 * x) = (-3 + 2 * x + -1 * (9 + 4 * x)) / (-1 * 2)"
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> val rls = ("Test_simplify");
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neuper@37906
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> val (ct,_) = the (rewrite_set thy' ("tval_rls") false rls ct);
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val ct = "sqrt (x ^^^ 2 + -3 * x) =
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(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))";
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ie. cancel does not work properly
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*)
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neuper@38035
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val thy = "Test";
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neuper@38033
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val op_ = "DIVIDE";
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neuper@37906
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val ct = "sqrt (x ^^^ 2 + -3 * x) =\
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\(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))";
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neuper@38032
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val SOME (ct,_) = calculate thy (the(assoc(calclist,op_))) ct;
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neuper@37906
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writeln ct;
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(*
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sqrt (x ^^^ 2 + -3 * x) =\
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\(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))
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............... does not work *)
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neuper@37906
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neuper@37906
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(*--------------(2): does divide work in Test_simplify ?: ------*)
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val thy = Test.thy;
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val t = (term_of o the o (parse thy)) "6 / 2";
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neuper@37906
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val rls = Test_simplify;
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neuper@37906
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val (t,_) = the (rewrite_set_ thy false rls t);
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neuper@37906
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(*val t = Free ("3","RealDef.real") : term*)
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neuper@37906
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neuper@38035
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val thy = "Test";
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val t = "6 / 2";
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neuper@37906
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val rls = "Test_simplify";
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neuper@37906
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val (t,_) = the (rewrite_set thy false rls t);
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neuper@37906
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(*val t = "3" : string
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neuper@37906
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....... works, thus: which rule in SqRoot_simplify works differently ?*)
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neuper@37906
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neuper@37906
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(*--------------(3): is_const works ?: -------------------------------------*)
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neuper@37906
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val t = (term_of o the o (parse Test.thy)) "2 is_const";
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neuper@37906
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atomty t;
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neuper@37906
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rewrite_set_ Test.thy false tval_rls t;
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neuper@38032
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(*val it = SOME (Const ("True","bool"),[]) ... works*)
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neuper@37906
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neuper@37906
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val t = str2term "2 * x is_const";
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neuper@38050
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val SOME (str,t') = eval_const "" "" t (theory "Isac");
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neuper@37906
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term2str t';
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neuper@37906
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neuper@37906
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neuper@38032
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"----------- check calculate bottom up ------------------";
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neuper@38032
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"----------- check calculate bottom up ------------------";
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neuper@38032
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"----------- check calculate bottom up ------------------";
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neuper@37906
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(*-------------- eval_cancel works: *)
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neuper@37906
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trace_rewrite:=true;
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neuper@37906
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val thy = Test.thy;
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neuper@37906
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val t = (term_of o the o (parse thy)) "(-4) / 2";
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neuper@38032
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val SOME (_,t) = eval_cancel "xxx" "HOL.divide" t thy;
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neuper@37906
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term2str t;
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neuper@37906
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"-4 / 2 = (-2)";
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neuper@37906
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(*-------------- but ... *)
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val ct = "x + (-4) / 2";
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neuper@37906
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val (ct,_) = the (rewrite_set thy' false rls ct);
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neuper@37906
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"(-2) + x";
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neuper@37906
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(*-------------- while ... *)
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neuper@37906
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val ct = "(-4) / 2";
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neuper@37906
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val (ct,_) = the (rewrite_set thy' false rls ct);
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neuper@37906
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"-2";
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neuper@37906
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neuper@37906
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(*--------------(5): reproduce (1) with simpler term: ------------*)
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neuper@38035
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val thy = "Test";
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neuper@37906
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val t = "(3+5)/2";
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neuper@37906
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val (t,_) = the (rewrite_set thy false rls t);
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neuper@37906
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(*val t = "4" ... works*)
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neuper@37906
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neuper@37906
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val t = "(3+1+2*x)/2";
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neuper@37906
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val (t,_) = the (rewrite_set thy false rls t);
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neuper@37906
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(*val t = "2 + x" ... works*)
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neuper@37906
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neuper@37906
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trace_rewrite:=true; (*3.6.03*)
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neuper@38035
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val thy = "Test";
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neuper@37906
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val rls = "Test_simplify";
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neuper@37906
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val t = "(3+(1+2*x))/2";
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neuper@37906
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val (t,_) = the (rewrite_set thy false rls t);
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neuper@37906
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(*val t = "2 + x" ... works: give up----------------------------------------*)
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neuper@37906
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trace_rewrite:=false;
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neuper@37906
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neuper@37906
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trace_rewrite:=true; (*3.6.03*)
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neuper@37906
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val thy = Test.thy;
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neuper@37906
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val rls = Test_simplify;
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neuper@37906
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val t = str2term "(3+(1+2*x))/2";
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neuper@38032
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val SOME (t',asm) = rewrite_set_ thy false rls t;
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neuper@37906
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term2str t';
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neuper@37906
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(*val t = "2 + x" ... works: give up----------------------------------------*)
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neuper@37906
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trace_rewrite:=false;
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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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(*--- trace_rewrite before correction of ... --------------------
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neuper@37906
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val ct = "(-3 + 2 * x + -1) / 2";
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neuper@37906
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val (ct,_) = the (rewrite_set thy' false rls ct);
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neuper@37906
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:
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neuper@37906
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### trying thm 'root_ge0_2'
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neuper@37906
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### rewrite_set_: x + (-1 + -3) / 2
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neuper@37906
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### trying thm 'radd_real_const_eq'
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neuper@37906
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### trying thm 'radd_real_const'
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neuper@37906
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### rewrite_set_: x + (-4) / 2
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neuper@37906
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### trying thm 'rcollect_right'
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neuper@37906
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:
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neuper@37906
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"x + (-4) / 2"
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neuper@37906
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-------------------------------------while before Isabelle20002:
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neuper@37906
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val ct = "(#-3 + #2 * x + #-1) // #2";
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neuper@37906
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val (ct,_) = the (rewrite_set thy' false rls ct);
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neuper@37906
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:
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neuper@37906
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### trying thm 'root_ge0_2'
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neuper@37906
|
265 |
### rewrite_set_: x + (#-1 + #-3) // #2
|
neuper@37906
|
266 |
### trying thm 'radd_real_const_eq'
|
neuper@37906
|
267 |
### trying thm 'radd_real_const'
|
neuper@37906
|
268 |
### rewrite_set_: x + #-4 // #2
|
neuper@37906
|
269 |
### rewrite_set_: x + #-2
|
neuper@37906
|
270 |
### trying thm 'rcollect_right'
|
neuper@37906
|
271 |
:
|
neuper@37906
|
272 |
"#-2 + x"
|
neuper@37906
|
273 |
-----------------------------------------------------------------*)
|
neuper@37906
|
274 |
|
neuper@37906
|
275 |
|
neuper@37906
|
276 |
toggle trace_rewrite;
|
neuper@37906
|
277 |
(*===================*)
|
neuper@37906
|
278 |
trace_rewrite:=true;
|
neuper@38035
|
279 |
val thy' = "Test";
|
neuper@37906
|
280 |
val rls = "Test_simplify";
|
neuper@37906
|
281 |
val ct = "x + (-1 + -3) / 2";
|
neuper@37906
|
282 |
val (ct,_) = the (rewrite_set thy' false rls ct);
|
neuper@37906
|
283 |
"x + (-4) / 2";
|
neuper@37906
|
284 |
(*
|
neuper@37906
|
285 |
### trying calc. 'cancel'
|
neuper@37906
|
286 |
@@@ get_pair: binop, t = x + (-4) / 2
|
neuper@37906
|
287 |
@@@ get_pair: t else
|
neuper@38032
|
288 |
@@@ get_pair: t else -> NONE
|
neuper@37906
|
289 |
@@@ get_pair: binop, t = (-4) / 2
|
neuper@37906
|
290 |
@@@ get_pair: then 1
|
neuper@38032
|
291 |
@@@ get_pair: t -> NONE
|
neuper@38032
|
292 |
@@@ get_pair: t1 -> NONE
|
neuper@38032
|
293 |
@@@ get_calculation: NONE
|
neuper@37906
|
294 |
### trying calc. 'pow'
|
neuper@37906
|
295 |
*)
|
neuper@37906
|
296 |
|
neuper@37906
|
297 |
trace_rewrite:=true;
|
neuper@38035
|
298 |
val thy' = "Test";
|
neuper@37906
|
299 |
val rls = "Test_simplify";
|
neuper@37906
|
300 |
val ct = "x + (-4) / 2";
|
neuper@37906
|
301 |
val (ct,_) = the (rewrite_set thy' false rls ct);
|
neuper@37906
|
302 |
"(-2) + x";
|
neuper@37906
|
303 |
(*
|
neuper@37906
|
304 |
### trying calc. 'cancel'
|
neuper@37906
|
305 |
@@@ get_pair: binop, t = x + -4 / 2
|
neuper@37906
|
306 |
@@@ get_pair: t else
|
neuper@38032
|
307 |
@@@ get_pair: t else -> NONE
|
neuper@37906
|
308 |
@@@ get_pair: binop, t = -4 / 2
|
neuper@37906
|
309 |
@@@ get_pair: then 1
|
neuper@38032
|
310 |
@@@ get_calculation: SOME #cancel_-4_2
|
neuper@37906
|
311 |
### calc. to: x + (-2)
|
neuper@37906
|
312 |
### trying calc. 'cancel'
|
neuper@37906
|
313 |
*)
|
neuper@37906
|
314 |
trace_rewrite:=false;
|
neuper@37906
|
315 |
|
neuper@37906
|
316 |
" ================= calculate.sml:10.8.02 2002:///->/ ======== ";
|
neuper@37906
|
317 |
" ================= calculate.sml:10.8.02 2002:///->/ ======== ";
|
neuper@37906
|
318 |
" ================= calculate.sml:10.8.02 2002:///->/ ======== ";
|
neuper@37906
|
319 |
" ----------------- rewriting works ? -----------------------";
|
neuper@38050
|
320 |
val thy = (theory "Isac");
|
neuper@37906
|
321 |
val prop = (#prop o rep_thm) real_divide_1;
|
neuper@37906
|
322 |
atomty prop;
|
neuper@37906
|
323 |
(*** -------------
|
neuper@37906
|
324 |
*** Const ( Trueprop, bool => prop)
|
neuper@37906
|
325 |
*** . Const ( op =, [real, real] => bool)
|
neuper@37906
|
326 |
*** . . Const ( HOL.divide, [real, real] => real)
|
neuper@37906
|
327 |
*** . . . Var ((x, 0), real)
|
neuper@37906
|
328 |
*** . . . Const ( 1, real)
|
neuper@37906
|
329 |
*** . . Var ((x, 0), real) *)
|
neuper@37906
|
330 |
val prop' = (#prop o rep_thm o num_str) real_divide_1;
|
neuper@37906
|
331 |
atomty prop';
|
neuper@37906
|
332 |
(*** -------------
|
neuper@37906
|
333 |
*** Const ( Trueprop, bool => prop)
|
neuper@37906
|
334 |
*** . Const ( op =, [real, real] => bool)
|
neuper@37906
|
335 |
*** . . Const ( HOL.divide, [real, real] => real)
|
neuper@37906
|
336 |
*** . . . Var ((x, 0), real)
|
neuper@37906
|
337 |
*** . . . Free ( 1, real) (*app_num_tr'*)
|
neuper@37906
|
338 |
*** . . Var ((x, 0), real)*)
|
neuper@37906
|
339 |
val t = (term_of o the o (parseold thy)) "aaa/1";
|
neuper@37906
|
340 |
atomty t;
|
neuper@37906
|
341 |
(*** -------------
|
neuper@37906
|
342 |
*** Const ( HOL.divide, ['a, 'a] => 'a)
|
neuper@37906
|
343 |
*** . Free ( aaa, 'a)
|
neuper@37906
|
344 |
*** . Free ( 1, 'a) *)
|
neuper@37906
|
345 |
val t = (term_of o the o (parse thy)) "aaa/1";
|
neuper@37906
|
346 |
atomty t;
|
neuper@37906
|
347 |
(*** -------------
|
neuper@37906
|
348 |
*** Const ( HOL.divide, [real, real] => real)
|
neuper@37906
|
349 |
*** . Free ( aaa, real)
|
neuper@37906
|
350 |
*** . Free ( 1, real) *)
|
neuper@38022
|
351 |
val thm = num_str real_divide_1;
|
neuper@38032
|
352 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@37906
|
353 |
(*val t = Free ("aaa","RealDef.real") : term*)
|
neuper@37906
|
354 |
|
neuper@37906
|
355 |
|
neuper@37906
|
356 |
val prop = (#prop o rep_thm) realpow_eq_one;
|
neuper@37906
|
357 |
atomty prop;
|
neuper@37906
|
358 |
(*** -------------
|
neuper@37906
|
359 |
*** Const ( Trueprop, bool => prop)
|
neuper@37906
|
360 |
*** . Const ( op =, [real, real] => bool)
|
neuper@37906
|
361 |
*** . . Const ( Nat.power, [real, nat] => real)
|
neuper@37906
|
362 |
*** . . . Const ( 1, real)
|
neuper@37906
|
363 |
*** . . . Var ((n, 0), nat)
|
neuper@37906
|
364 |
*** . . Const ( 1, real) *)
|
neuper@37906
|
365 |
val prop' = (#prop o rep_thm o num_str) realpow_eq_one;
|
neuper@37906
|
366 |
atomty prop';
|
neuper@37906
|
367 |
(*** -------------
|
neuper@37906
|
368 |
*** Const ( Trueprop, bool => prop)
|
neuper@37906
|
369 |
*** . Const ( op =, [real, real] => bool)
|
neuper@37906
|
370 |
*** . . Const ( Nat.power, [real, nat] => real)
|
neuper@37906
|
371 |
*** . . . Free ( 1, real)
|
neuper@37906
|
372 |
*** . . . Var ((n, 0), nat)
|
neuper@37906
|
373 |
*** . . Free ( 1, real)*)
|
neuper@37906
|
374 |
val t = (term_of o the o (parseold thy)) "1 ^ aaa";
|
neuper@37906
|
375 |
atomty t;
|
neuper@37906
|
376 |
(*** -------------
|
neuper@37906
|
377 |
*** Const ( Nat.power, ['a, nat] => 'a)
|
neuper@37906
|
378 |
*** . Free ( 1, 'a)
|
neuper@37906
|
379 |
*** . Free ( aaa, nat) *)
|
neuper@37906
|
380 |
val t = (term_of o the o (parse thy)) "1 ^ aaa";
|
neuper@37906
|
381 |
atomty t;
|
neuper@37906
|
382 |
(*** -------------
|
neuper@37906
|
383 |
*** Const ( Nat.power, [real, nat] => real)
|
neuper@37906
|
384 |
*** . Free ( 1, real)
|
neuper@37906
|
385 |
*** . Free ( aaa, nat) .......................... nat !!! *)
|
neuper@38022
|
386 |
val thm = num_str realpow_eq_one;
|
neuper@38032
|
387 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@37906
|
388 |
(*val t = Free ("1","RealDef.real") : term*)
|
neuper@37906
|
389 |
|
neuper@37906
|
390 |
" ================= calculate.sml: calculate_ 2002 =================== ";
|
neuper@37906
|
391 |
" ================= calculate.sml: calculate_ 2002 =================== ";
|
neuper@37906
|
392 |
" ================= calculate.sml: calculate_ 2002 =================== ";
|
neuper@37906
|
393 |
|
neuper@37906
|
394 |
val thy = Test.thy;
|
neuper@37906
|
395 |
val t = (term_of o the o (parse thy)) "12 / 3";
|
neuper@38033
|
396 |
val SOME (thmID,thm) = get_calculation_ thy(the(assoc(calclist,"DIVIDE")))t;
|
neuper@38032
|
397 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@37906
|
398 |
"12 / 3 = 4";
|
neuper@37906
|
399 |
val thy = Test.thy;
|
neuper@37906
|
400 |
val t = (term_of o the o (parse thy)) "4 ^^^ 2";
|
neuper@38033
|
401 |
val SOME (thmID,thm) = get_calculation_ thy(the(assoc(calclist,"POWER"))) t;
|
neuper@38032
|
402 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@37906
|
403 |
"4 ^ 2 = 16";
|
neuper@37906
|
404 |
|
neuper@37906
|
405 |
val t = (term_of o the o (parse thy)) "((1 + 2) * 4 / 3) ^^^ 2";
|
neuper@38033
|
406 |
val SOME (thmID,thm) = get_calculation_ thy (the(assoc(calclist,"PLUS"))) t;
|
neuper@37906
|
407 |
"1 + 2 = 3";
|
neuper@38032
|
408 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
409 |
term2str t;
|
neuper@37906
|
410 |
"(3 * 4 / 3) ^^^ 2";
|
neuper@38033
|
411 |
val SOME (thmID,thm) = get_calculation_ thy (the(assoc(calclist,"TIMES")))t;
|
neuper@37906
|
412 |
"3 * 4 = 12";
|
neuper@38032
|
413 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
414 |
term2str t;
|
neuper@37906
|
415 |
"(12 / 3) ^^^ 2";
|
neuper@38033
|
416 |
val SOME (thmID,thm) =get_calculation_ thy(the(assoc(calclist,"DIVIDE")))t;
|
neuper@37906
|
417 |
"12 / 3 = 4";
|
neuper@38032
|
418 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
419 |
term2str t;
|
neuper@37906
|
420 |
"4 ^^^ 2";
|
neuper@38033
|
421 |
val SOME (thmID,thm) = get_calculation_ thy(the(assoc(calclist,"POWER")))t;
|
neuper@37906
|
422 |
"4 ^^^ 2 = 16";
|
neuper@38032
|
423 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
424 |
term2str t;
|
neuper@37906
|
425 |
"16";
|
neuper@38031
|
426 |
if it <> "16" then error "calculate.sml: new behaviour in calculate_"
|
neuper@37906
|
427 |
else ();
|
neuper@37906
|
428 |
|
neuper@37906
|
429 |
(*13.9.02 *** calc: operator = pow not defined*)
|
neuper@37906
|
430 |
val t = (term_of o the o (parse thy)) "3^^^2";
|
neuper@38032
|
431 |
val SOME (thmID,thm) =
|
neuper@38033
|
432 |
get_calculation_ thy (the(assoc(calclist,"POWER"))) t;
|
neuper@37906
|
433 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
434 |
|
neuper@38033
|
435 |
val (op_, eval_fn) = the (assoc(calclist,"POWER"));
|
neuper@37906
|
436 |
(*
|
neuper@37906
|
437 |
val op_ = "Atools.pow" : string
|
neuper@37906
|
438 |
val eval_fn = fn : string -> term -> theory -> (string * term) option*)
|
neuper@37906
|
439 |
|
neuper@38032
|
440 |
val SOME (thmid,t') = get_pair thy op_ eval_fn t;
|
neuper@37906
|
441 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
442 |
|
neuper@38032
|
443 |
val SOME (id,t') = eval_fn op_ t thy;
|
neuper@37906
|
444 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
445 |
|
neuper@37906
|
446 |
val (thmid, (Const (op0,t0) $ Free (n1,t1) $ Free(n2,t2))) = (op_, t);
|
neuper@38032
|
447 |
val SOME (id,t') = eval_binop thmid op_ t thy;
|
neuper@37906
|
448 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
449 |
|
neuper@37906
|
450 |
|
neuper@37906
|
451 |
"----------- get_pair with 3 args --------------------------------";
|
neuper@37906
|
452 |
"----------- get_pair with 3 args --------------------------------";
|
neuper@37906
|
453 |
"----------- get_pair with 3 args --------------------------------";
|
neuper@37906
|
454 |
val (thy, op_, ef, arg) =
|
neuper@37906
|
455 |
(thy, "EqSystem.occur'_exactly'_in",
|
neuper@37906
|
456 |
snd (the (assoc(!calclist',"occur_exactly_in"))),
|
neuper@37906
|
457 |
str2term
|
neuper@37906
|
458 |
"[] from_ [c, c_2, c_3, c_4] occur_exactly_in -1 * (q_0 * L ^^^ 2) / 2"
|
neuper@37906
|
459 |
);
|
neuper@38032
|
460 |
val SOME (str, simpl) = get_pair thy op_ ef arg;
|
neuper@37906
|
461 |
if str =
|
neuper@37906
|
462 |
"[] from_ [c, c_2, c_3, c_4] occur_exactly_in -1 * (q_0 * L ^^^ 2) / 2 = True"
|
neuper@38031
|
463 |
then () else error "calculate.sml get_pair with 3 args:occur_exactly_in";
|
neuper@37906
|
464 |
|
neuper@37906
|
465 |
|
neuper@38032
|
466 |
"----------- calculate (2 * x is_const) -----------------";
|
neuper@38032
|
467 |
"----------- calculate (2 * x is_const) -----------------";
|
neuper@38032
|
468 |
"----------- calculate (2 * x is_const) -----------------";
|
neuper@37906
|
469 |
val t = str2term "2 * x is_const";
|
neuper@38032
|
470 |
val SOME (str, t') = eval_const "" "" t Test.thy;
|
neuper@37906
|
471 |
term2str t';
|
neuper@37906
|
472 |
"(2 * x is_const) = False";
|
neuper@37906
|
473 |
|
neuper@38032
|
474 |
val SOME (t',_) = rewrite_set_ Test.thy false tval_rls t;
|
neuper@37906
|
475 |
term2str t';
|
neuper@37906
|
476 |
"False";
|
neuper@38022
|
477 |
===== inhibit exn ?===========================================================*)
|
neuper@41924
|
478 |
|