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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*)
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neuper@37906
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neuper@38022
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"--------------------------------------------------------";
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neuper@38022
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"table of contents --------------------------------------";
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neuper@38022
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"--------------------------------------------------------";
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neuper@55366
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"-calculate.thy: provides 'setup' -----------------------";
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neuper@41924
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"----------- fun norm -----------------------------------";
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wneuper@59255
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"----------- check return value of adhoc_thm ----";
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neuper@38032
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"----------- fun calculate_ -----------------------------";
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neuper@55366
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"----------- calculate from script --requires 'setup'----";
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neuper@38032
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"----------- calculate check test-root-equ --------------";
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wneuper@59253
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"----------- check calcul,ate bottom up -----------------";
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neuper@42223
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"----------- Atools.pow Power.power_class.power ---------";
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neuper@41934
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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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wneuper@59387
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"----------- fun get_pair: examples ------------------------------------------------------------";
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wneuper@59387
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"----------- fun adhoc_thm: examples -----------------------------------------------------------";
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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@37906
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wneuper@59255
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"----------- check return value of adhoc_thm ----";
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wneuper@59255
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"----------- check return value of adhoc_thm ----";
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wneuper@59255
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"----------- check return value of adhoc_thm ----";
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neuper@41924
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val thy = @{theory "Poly"};
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s1210629013@52153
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val cal = snd (assoc_calc' thy "is_polyexp");
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neuper@38022
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val t = @{term "(x / x) is_polyexp"};
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wneuper@59255
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val SOME (thmID, thm) = adhoc_thm thy cal t;
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wneuper@59188
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(HOLogic.dest_Trueprop (Thm.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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wneuper@59255
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error "calculate.sml: adhoc_thm 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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wneuper@59188
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val t = (Thm.term_of o the o (parse thy)) "1+2";
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wneuper@59255
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val SOME (thmID,thm) = adhoc_thm thy (the(assoc(calclist,"PLUS"))) t;
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wneuper@59195
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term2str (Thm.prop_of thm) = "1 + 2 = 3";
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neuper@38033
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neuper@38033
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"===== test 2";
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wneuper@59188
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val t = (Thm.term_of o the o (parse thy)) "((1+2)*4/3)^^^2";
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wneuper@59255
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val SOME (thmID,thm) = adhoc_thm thy (the(assoc(calclist,"PLUS"))) t;
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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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neuper@41931
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if term2str t = "(3 * 4 / 3) ^^^ 2" then ()
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neuper@41931
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else error "calculate.sml: ((1+2)*4/3)^^^2 --> (3 * 4 / 3) ^^^ 2";
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neuper@38033
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neuper@38033
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"===== test 3b -- 2 contiued";
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wneuper@59255
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val SOME (thmID,thm) = adhoc_thm thy (the(assoc(calclist,"TIMES"))) t;
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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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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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neuper@37906
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neuper@38033
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"===== test 4";
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wneuper@59255
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val SOME (thmID,thm) = adhoc_thm thy(the(assoc(calclist,"DIVIDE")))t;
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neuper@38032
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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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(*it = "#4 ^^^ #2" : string*)
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neuper@38033
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neuper@38033
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"===== test 5";
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wneuper@59255
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val SOME (thmID,thm) = adhoc_thm thy(the(assoc(calclist,"POWER")))t;
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neuper@38032
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val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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neuper@41931
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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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neuper@37906
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else ();
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neuper@37906
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neuper@37906
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neuper@37906
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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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neuper@38035
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("Test",["calculate","test"],["Test","test_calculate"]);
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neuper@38035
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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 [1] pt;
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neuper@37906
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(*nxt =("Add_Given",Add_Given "realTestGiven (((#1 + #2) * #4 // #3) ^^^#2)")*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(*nxt = ("Add_Find",Add_Find "realTestFind s") : string * tac*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@38035
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(*nxt = ("Specify_Theory",Specify_Theory "Test") : string * tac*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(*nxt = ("Specify_Problem",Specify_Problem ["calculate","test"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@38035
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(*nxt = ("Specify_Method",Specify_Method ("Test","test_calculate"))*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@38035
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(*nxt = ("Apply_Method",Apply_Method ("Test","test_calculate"))*)
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neuper@37906
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neuper@37906
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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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neuper@37906
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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 "TIMES")*)
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neuper@37906
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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 "DIVIDE")*)
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neuper@37906
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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 "POWER")*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(*nxt = ("Check_Postcond",Check_Postcond ["calculate","test"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(*nxt = ("End_Proof'",End_Proof')*)
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wneuper@59267
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case f of FormKF "16" => () | _ =>
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wneuper@59253
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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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neuper@37906
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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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neuper@37906
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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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neuper@37906
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val ct = "sqrt (x ^^^ 2 + -3 * x) =
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neuper@37906
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(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))";
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neuper@37906
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ie. cancel does not work properly
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neuper@37906
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*)
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wneuper@59382
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val thy = @{theory "Test"};
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wneuper@59382
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val op_ = the (assoc (calclist, "DIVIDE"));
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wneuper@59382
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val ct = numbers_to_string @{term
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wneuper@59382
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"sqrt (x ^^^ 2 + -3 * x) = (-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))"};
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wneuper@59382
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case calculate_ thy op_ ct of
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wneuper@59382
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SOME _ => ()
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wneuper@59382
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| NONE => error "calculate_ test-root-equ changed";
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neuper@37906
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(*
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neuper@37906
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sqrt (x ^^^ 2 + -3 * x) =\
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neuper@37906
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\(-9) / (-2) + (-3 / (-2) + (x * ((-4) / (-2)) + x * (2 / (-2))))
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neuper@37906
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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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akargl@42188
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val thy = @{theory Test};
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wneuper@59188
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val t = (Thm.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@55279
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(*val t = Free ("3","Real.real") : term*)
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neuper@37906
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neuper@37906
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(*--------------(3): is_const works ?: -------------------------------------*)
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wneuper@59188
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val t = (Thm.term_of o the o (parse @{theory Test})) "2 is_const";
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neuper@37906
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atomty t;
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akargl@42188
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rewrite_set_ @{theory Test} false tval_rls t;
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neuper@41928
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(*val it = SOME (Const ("HOL.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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akargl@42188
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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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148 |
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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@52070
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trace_rewrite:=false;
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akargl@42188
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val thy = @{theory Test};
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wneuper@59384
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val rls = Test_simplify;
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wneuper@59188
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val t = (Thm.term_of o the o (parse thy)) "(-4) / 2";
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akargl@42188
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wneuper@59360
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val SOME (_, t) = eval_cancel "xxx" "Rings.divide_class.divide" t thy;
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akargl@42188
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neuper@37906
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(*--------------(5): reproduce (1) with simpler term: ------------*)
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wneuper@59384
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val t = (Thm.term_of o the o (parse thy)) "(3+5)/2";
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wneuper@59384
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case rewrite_set_ thy false rls t of
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wneuper@59384
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SOME (Free ("4", _), []) => ()
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wneuper@59384
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| _ => error "rewrite_set_ (3+5)/2 changed";
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neuper@37906
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wneuper@59384
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val t = (Thm.term_of o the o (parse thy)) "(3+1+2*x)/2";
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wneuper@59384
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case rewrite_set_ thy false rls t of
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wneuper@59384
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SOME (Const ("Groups.plus_class.plus", _) $ Free ("2", _) $ Free ("x", _), []) => ()
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wneuper@59384
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| _ => error "rewrite_set_ (3+1+2*x)/2 changed";
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neuper@37906
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neuper@52070
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trace_rewrite:=false; (*=true3.6.03*)
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akargl@42218
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172 |
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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
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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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192 |
### 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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### rewrite_set_: x + #-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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196 |
:
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neuper@37906
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197 |
"#-2 + x"
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neuper@37906
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198 |
-----------------------------------------------------------------*)
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neuper@37906
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199 |
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neuper@37906
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200 |
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neuper@37906
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201 |
(*===================*)
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neuper@52070
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trace_rewrite:=false; (*WN130722: =true stopped Test_Isac.thy*)
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wneuper@59384
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203 |
val t = (Thm.term_of o the o (parse thy)) "x + (-1 + -3) / 2";
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wneuper@59384
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204 |
val SOME (res, []) = rewrite_set_ thy false rls t;
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wneuper@59384
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205 |
if term2str res = "-2 + x" then () else error "rewrite_set_ x + (-1 + -3) / 2 changed";
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neuper@37906
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206 |
"x + (-4) / 2";
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neuper@37906
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207 |
(*
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neuper@37906
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208 |
### trying calc. 'cancel'
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neuper@37906
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209 |
@@@ get_pair: binop, t = x + (-4) / 2
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neuper@37906
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210 |
@@@ get_pair: t else
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neuper@38032
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211 |
@@@ get_pair: t else -> NONE
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neuper@37906
|
212 |
@@@ get_pair: binop, t = (-4) / 2
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neuper@37906
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213 |
@@@ get_pair: then 1
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neuper@38032
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214 |
@@@ get_pair: t -> NONE
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neuper@38032
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215 |
@@@ get_pair: t1 -> NONE
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wneuper@59255
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216 |
@@@ adhoc_thm': NONE
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neuper@37906
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217 |
### trying calc. 'pow'
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neuper@37906
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218 |
*)
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neuper@37906
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219 |
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neuper@52070
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220 |
trace_rewrite:=false; (*WN130722: =true stopped Test_Isac.thy*)
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neuper@37906
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221 |
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neuper@42223
|
222 |
"----------- Atools.pow Power.power_class.power ---------";
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neuper@42223
|
223 |
"----------- Atools.pow Power.power_class.power ---------";
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neuper@42223
|
224 |
"----------- Atools.pow Power.power_class.power ---------";
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wneuper@59188
|
225 |
val t = (Thm.term_of o the o (parseold thy)) "1 ^ aaa";
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neuper@42223
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226 |
atomty t;
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neuper@37906
|
227 |
(*** -------------
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neuper@37906
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228 |
*** Const ( Nat.power, ['a, nat] => 'a)
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neuper@37906
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229 |
*** . Free ( 1, 'a)
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neuper@37906
|
230 |
*** . Free ( aaa, nat) *)
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akargl@42218
|
231 |
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neuper@42223
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232 |
val t = str2term "1 ^^^ aaa";
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neuper@42223
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233 |
atomty t;
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neuper@42223
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234 |
(****
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neuper@42223
|
235 |
*** Const (Atools.pow, real => real => real)
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neuper@42223
|
236 |
*** . Free (1, real)
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neuper@42223
|
237 |
*** . Free (aaa, real)
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neuper@42223
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238 |
*** *);
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neuper@37906
|
239 |
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neuper@37906
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240 |
" ================= calculate.sml: calculate_ 2002 =================== ";
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neuper@37906
|
241 |
" ================= calculate.sml: calculate_ 2002 =================== ";
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neuper@37906
|
242 |
" ================= calculate.sml: calculate_ 2002 =================== ";
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neuper@37906
|
243 |
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akargl@42188
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244 |
val thy = @{theory Test};
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wneuper@59188
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245 |
val t = (Thm.term_of o the o (parse thy)) "12 / 3";
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wneuper@59255
|
246 |
val SOME (thmID,thm) = adhoc_thm thy(the(assoc(calclist,"DIVIDE")))t;
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neuper@38032
|
247 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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neuper@37906
|
248 |
"12 / 3 = 4";
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akargl@42188
|
249 |
val thy = @{theory Test};
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wneuper@59188
|
250 |
val t = (Thm.term_of o the o (parse thy)) "4 ^^^ 2";
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wneuper@59255
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251 |
val SOME (thmID,thm) = adhoc_thm thy(the(assoc(calclist,"POWER"))) t;
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neuper@38032
|
252 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
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neuper@37906
|
253 |
"4 ^ 2 = 16";
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neuper@37906
|
254 |
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wneuper@59188
|
255 |
val t = (Thm.term_of o the o (parse thy)) "((1 + 2) * 4 / 3) ^^^ 2";
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wneuper@59255
|
256 |
val SOME (thmID,thm) = adhoc_thm thy (the(assoc(calclist,"PLUS"))) t;
|
neuper@37906
|
257 |
"1 + 2 = 3";
|
neuper@38032
|
258 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
259 |
term2str t;
|
neuper@37906
|
260 |
"(3 * 4 / 3) ^^^ 2";
|
wneuper@59255
|
261 |
val SOME (thmID,thm) = adhoc_thm thy (the(assoc(calclist,"TIMES")))t;
|
neuper@37906
|
262 |
"3 * 4 = 12";
|
neuper@38032
|
263 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
264 |
term2str t;
|
neuper@37906
|
265 |
"(12 / 3) ^^^ 2";
|
wneuper@59255
|
266 |
val SOME (thmID,thm) =adhoc_thm thy(the(assoc(calclist,"DIVIDE")))t;
|
neuper@37906
|
267 |
"12 / 3 = 4";
|
neuper@38032
|
268 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
269 |
term2str t;
|
neuper@37906
|
270 |
"4 ^^^ 2";
|
wneuper@59255
|
271 |
val SOME (thmID,thm) = adhoc_thm thy(the(assoc(calclist,"POWER")))t;
|
neuper@37906
|
272 |
"4 ^^^ 2 = 16";
|
neuper@38032
|
273 |
val SOME (t,_) = rewrite_ thy tless_true tval_rls true thm t;
|
neuper@38033
|
274 |
term2str t;
|
neuper@37906
|
275 |
"16";
|
neuper@38031
|
276 |
if it <> "16" then error "calculate.sml: new behaviour in calculate_"
|
neuper@37906
|
277 |
else ();
|
neuper@37906
|
278 |
|
neuper@37906
|
279 |
(*13.9.02 *** calc: operator = pow not defined*)
|
wneuper@59188
|
280 |
val t = (Thm.term_of o the o (parse thy)) "3^^^2";
|
neuper@38032
|
281 |
val SOME (thmID,thm) =
|
wneuper@59255
|
282 |
adhoc_thm thy (the(assoc(calclist,"POWER"))) t;
|
neuper@37906
|
283 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
284 |
|
neuper@38033
|
285 |
val (op_, eval_fn) = the (assoc(calclist,"POWER"));
|
neuper@37906
|
286 |
(*
|
neuper@37906
|
287 |
val op_ = "Atools.pow" : string
|
neuper@37906
|
288 |
val eval_fn = fn : string -> term -> theory -> (string * term) option*)
|
neuper@37906
|
289 |
|
neuper@38032
|
290 |
val SOME (thmid,t') = get_pair thy op_ eval_fn t;
|
neuper@37906
|
291 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
292 |
|
neuper@38032
|
293 |
val SOME (id,t') = eval_fn op_ t thy;
|
neuper@37906
|
294 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
295 |
|
neuper@37906
|
296 |
val (thmid, (Const (op0,t0) $ Free (n1,t1) $ Free(n2,t2))) = (op_, t);
|
neuper@38032
|
297 |
val SOME (id,t') = eval_binop thmid op_ t thy;
|
neuper@37906
|
298 |
(*** calc: operator = pow not defined*)
|
neuper@37906
|
299 |
|
akargl@42188
|
300 |
|
neuper@37906
|
301 |
"----------- get_pair with 3 args --------------------------------";
|
neuper@37906
|
302 |
"----------- get_pair with 3 args --------------------------------";
|
neuper@37906
|
303 |
"----------- get_pair with 3 args --------------------------------";
|
neuper@37906
|
304 |
val (thy, op_, ef, arg) =
|
neuper@37906
|
305 |
(thy, "EqSystem.occur'_exactly'_in",
|
wneuper@59361
|
306 |
assoc_calc' (Thy_Info_get_theory "EqSystem") "occur_exactly_in" |> snd |> snd,
|
neuper@37906
|
307 |
str2term
|
akargl@42188
|
308 |
"[] from [c, c_2, c_3, c_4] occur_exactly_in -1 * (q_0 * L ^^^ 2) / 2"
|
neuper@37906
|
309 |
);
|
neuper@38032
|
310 |
val SOME (str, simpl) = get_pair thy op_ ef arg;
|
neuper@37906
|
311 |
if str =
|
akargl@42188
|
312 |
"[] from [c, c_2, c_3, c_4] occur_exactly_in -1 * (q_0 * L ^^^ 2) / 2 = True"
|
neuper@38031
|
313 |
then () else error "calculate.sml get_pair with 3 args:occur_exactly_in";
|
neuper@37906
|
314 |
|
neuper@37906
|
315 |
|
neuper@38032
|
316 |
"----------- calculate (2 * x is_const) -----------------";
|
neuper@38032
|
317 |
"----------- calculate (2 * x is_const) -----------------";
|
neuper@38032
|
318 |
"----------- calculate (2 * x is_const) -----------------";
|
neuper@37906
|
319 |
val t = str2term "2 * x is_const";
|
akargl@42188
|
320 |
val SOME (str, t') = eval_const "" "" t @{theory Test};
|
neuper@37906
|
321 |
term2str t';
|
neuper@37906
|
322 |
"(2 * x is_const) = False";
|
neuper@37906
|
323 |
|
akargl@42188
|
324 |
val SOME (t',_) = rewrite_set_ @{theory Test} false tval_rls t;
|
neuper@37906
|
325 |
term2str t';
|
neuper@41928
|
326 |
"HOL.False";
|
wneuper@59387
|
327 |
|
wneuper@59387
|
328 |
"----------- fun get_pair: examples ------------------------------------------------------------";
|
wneuper@59387
|
329 |
"----------- fun get_pair: examples ------------------------------------------------------------";
|
wneuper@59387
|
330 |
"----------- fun get_pair: examples ------------------------------------------------------------";
|
wneuper@59387
|
331 |
(*
|
wneuper@59387
|
332 |
> val t = (Thm.term_of o the o (parse thy)) "#3 + #4";
|
wneuper@59387
|
333 |
> val eval_fn = the (assoc (!eval_list, "Groups.plus_class.plus"));
|
wneuper@59387
|
334 |
> val (SOME (id,t')) = get_pair thy "Groups.plus_class.plus" eval_fn t;
|
wneuper@59387
|
335 |
> term2str t';
|
wneuper@59387
|
336 |
> atomty t';
|
wneuper@59387
|
337 |
>
|
wneuper@59387
|
338 |
> val t = (Thm.term_of o the o (parse thy)) "(a + #3) + #4";
|
wneuper@59387
|
339 |
> val (SOME (id,t')) = get_pair thy "Groups.plus_class.plus" eval_fn t;
|
wneuper@59387
|
340 |
> term2str t';
|
wneuper@59387
|
341 |
>
|
wneuper@59387
|
342 |
> val t = (Thm.term_of o the o (parse thy)) "#3 + (#4 + (a::real))";
|
wneuper@59387
|
343 |
> val (SOME (id,t')) = get_pair thy "Groups.plus_class.plus" eval_fn t;
|
wneuper@59387
|
344 |
> term2str t';
|
wneuper@59387
|
345 |
>
|
wneuper@59387
|
346 |
> val t = (Thm.term_of o the o (parse thy)) "x = #5 * (#3 + (#4 + a))";
|
wneuper@59387
|
347 |
> atomty t;
|
wneuper@59387
|
348 |
> val (SOME (id,t')) = get_pair thy "Groups.plus_class.plus" eval_fn t;
|
wneuper@59387
|
349 |
> term2str t';
|
wneuper@59387
|
350 |
> val it = "#3 + (#4 + a) = #7 + a" : string
|
wneuper@59387
|
351 |
>
|
wneuper@59387
|
352 |
>
|
wneuper@59387
|
353 |
> val t = (Thm.term_of o the o (parse thy)) "#-4//#-2";
|
wneuper@59387
|
354 |
> val eval_fn = the (assoc (!eval_list, "cancel"));
|
wneuper@59387
|
355 |
> val (SOME (id,t')) = get_pair thy "cancel" eval_fn t;
|
wneuper@59387
|
356 |
> term2str t';
|
wneuper@59387
|
357 |
>
|
wneuper@59387
|
358 |
> val t = (Thm.term_of o the o (parse thy)) "#2^^^#3";
|
wneuper@59387
|
359 |
> eval_binop "xxx" "pow" t thy;
|
wneuper@59387
|
360 |
> val eval_fn = (eval_binop "xxx")
|
wneuper@59387
|
361 |
> : string -> term -> theory -> (string * term) option;
|
wneuper@59387
|
362 |
> val SOME (id,t') = get_pair thy "pow" eval_fn t;
|
wneuper@59387
|
363 |
> term2str t';
|
wneuper@59387
|
364 |
> val eval_fn = the (assoc (!eval_list, "pow"));
|
wneuper@59387
|
365 |
> val (SOME (id,t')) = get_pair thy "pow" eval_fn t;
|
wneuper@59387
|
366 |
> term2str t';
|
wneuper@59387
|
367 |
>
|
wneuper@59387
|
368 |
> val t = (Thm.term_of o the o (parse thy)) "x = #0 + #-1 * #-4";
|
wneuper@59387
|
369 |
> val eval_fn = the (assoc (!eval_list, "Groups.times_class.times"));
|
wneuper@59387
|
370 |
> val (SOME (id,t')) = get_pair thy "Groups.times_class.times" eval_fn t;
|
wneuper@59387
|
371 |
> term2str t';
|
wneuper@59387
|
372 |
>
|
wneuper@59387
|
373 |
> val t = (Thm.term_of o the o (parse thy)) "#0 < #4";
|
wneuper@59387
|
374 |
> val eval_fn = the (assoc (!eval_list, "Orderings.ord_class.less"));
|
wneuper@59387
|
375 |
> val (SOME (id,t')) = get_pair thy "Orderings.ord_class.less" eval_fn t;
|
wneuper@59387
|
376 |
> term2str t';
|
wneuper@59387
|
377 |
> val t = (Thm.term_of o the o (parse thy)) "#0 < #-4";
|
wneuper@59387
|
378 |
> val (SOME (id,t')) = get_pair thy "Orderings.ord_class.less" eval_fn t;
|
wneuper@59387
|
379 |
> term2str t';
|
wneuper@59387
|
380 |
>
|
wneuper@59387
|
381 |
> val t = (Thm.term_of o the o (parse thy)) "#3 is_const";
|
wneuper@59387
|
382 |
> val eval_fn = the (assoc (!eval_list, "is'_const"));
|
wneuper@59387
|
383 |
> val (SOME (id,t')) = get_pair thy "is'_const" eval_fn t;
|
wneuper@59387
|
384 |
> term2str t';
|
wneuper@59387
|
385 |
> val t = (Thm.term_of o the o (parse thy)) "a is_const";
|
wneuper@59387
|
386 |
> val (SOME (id,t')) = get_pair thy "is'_const" eval_fn t;
|
wneuper@59387
|
387 |
> term2str t';
|
wneuper@59387
|
388 |
>
|
wneuper@59387
|
389 |
> val t = (Thm.term_of o the o (parse thy)) "#6//(#8::real)";
|
wneuper@59387
|
390 |
> val eval_fn = the (assoc (!eval_list, "cancel"));
|
wneuper@59387
|
391 |
> val (SOME (id,t')) = get_pair thy "cancel" eval_fn t;
|
wneuper@59387
|
392 |
> term2str t';
|
wneuper@59387
|
393 |
>
|
wneuper@59387
|
394 |
> val t = (Thm.term_of o the o (parse thy)) "sqrt #12";
|
wneuper@59387
|
395 |
> val eval_fn = the (assoc (!eval_list, "SqRoot.sqrt"));
|
wneuper@59387
|
396 |
> val (SOME (id,t')) = get_pair thy "SqRoot.sqrt" eval_fn t;
|
wneuper@59387
|
397 |
> term2str t';
|
wneuper@59387
|
398 |
> val it = "sqrt #12 = #2 * sqrt #3 " : string
|
wneuper@59387
|
399 |
>
|
wneuper@59387
|
400 |
> val t = (Thm.term_of o the o (parse thy)) "sqrt #9";
|
wneuper@59387
|
401 |
> val (SOME (id,t')) = get_pair thy "SqRoot.sqrt" eval_fn t;
|
wneuper@59387
|
402 |
> term2str t';
|
wneuper@59387
|
403 |
>
|
wneuper@59387
|
404 |
> val t = (Thm.term_of o the o (parse thy)) "Nth #2 [#11,#22,#33]";
|
wneuper@59387
|
405 |
> val eval_fn = the (assoc (!eval_list, "Tools.Nth"));
|
wneuper@59387
|
406 |
> val (SOME (id,t')) = get_pair thy "Tools.Nth" eval_fn t;
|
wneuper@59387
|
407 |
> term2str t';
|
wneuper@59387
|
408 |
*)
|
wneuper@59387
|
409 |
"----------- fun adhoc_thm: examples -----------------------------------------------------------";
|
wneuper@59387
|
410 |
"----------- fun adhoc_thm: examples -----------------------------------------------------------";
|
wneuper@59387
|
411 |
"----------- fun adhoc_thm: examples -----------------------------------------------------------";
|
wneuper@59387
|
412 |
(*
|
wneuper@59387
|
413 |
> val ct = (the o (parse thy)) "#9 is_const";
|
wneuper@59387
|
414 |
> adhoc_thm thy ("is'_const",the (assoc(!eval_list,"is'_const"))) ct;
|
wneuper@59387
|
415 |
val it = SOME ("is_const9_","(is_const 9 ) = True [(is_const 9 ) = True]")
|
wneuper@59387
|
416 |
|
wneuper@59387
|
417 |
> val ct = (the o (parse thy)) "sqrt #9";
|
wneuper@59387
|
418 |
> adhoc_thm thy ("sqrt",the (assoc(!eval_list,"sqrt"))) ct;
|
wneuper@59387
|
419 |
val it = SOME ("sqrt_9_","sqrt 9 = 3 [sqrt 9 = 3]") : (string * thm) option
|
wneuper@59387
|
420 |
|
wneuper@59387
|
421 |
> val ct = (the o (parse thy)) "#4<#4";
|
wneuper@59387
|
422 |
> adhoc_thm thy ("Orderings.ord_class.less",the (assoc(!eval_list,"Orderings.ord_class.less"))) ct;fun is_no str = (hd o Symbol.explode) str = "#";
|
wneuper@59387
|
423 |
|
wneuper@59387
|
424 |
val it = SOME ("less_5_4","(5 < 4) = False [(5 < 4) = False]")
|
wneuper@59387
|
425 |
|
wneuper@59387
|
426 |
> val ct = (the o (parse thy)) "a<#4";
|
wneuper@59387
|
427 |
> adhoc_thm thy ("Orderings.ord_class.less",the (assoc(!eval_list,"Orderings.ord_class.less"))) ct;
|
wneuper@59387
|
428 |
val it = NONE : (string * thm) option
|
wneuper@59387
|
429 |
|
wneuper@59387
|
430 |
> val ct = (the o (parse thy)) "#5<=#4";
|
wneuper@59387
|
431 |
> adhoc_thm thy ("Orderings.ord_class.less_eq",the (assoc(!eval_list,"Orderings.ord_class.less_eq"))) ct;
|
wneuper@59387
|
432 |
val it = SOME ("less_equal_5_4","(5 <= 4) = False [(5 <= 4) = False]")
|
wneuper@59387
|
433 |
|
wneuper@59387
|
434 |
-------------------------------------------------------------------6.8.02:
|
wneuper@59387
|
435 |
val thy = SqRoot.thy;
|
wneuper@59387
|
436 |
val t = (Thm.term_of o the o (parse thy)) "1+2";
|
wneuper@59387
|
437 |
adhoc_thm thy (the(assoc(!calc_list,"PLUS"))) t;
|
wneuper@59387
|
438 |
val it = SOME ("add_3_4","3 + 4 = 7 [3 + 4 = 7]") : (string * thm) option
|
wneuper@59387
|
439 |
-------------------------------------------------------------------6.8.02:
|
wneuper@59387
|
440 |
val t = (Thm.term_of o the o (parse thy)) "-1";
|
wneuper@59387
|
441 |
atomty t;
|
wneuper@59387
|
442 |
val t = (Thm.term_of o the o (parse thy)) "0";
|
wneuper@59387
|
443 |
atomty t;
|
wneuper@59387
|
444 |
val t = (Thm.term_of o the o (parse thy)) "1";
|
wneuper@59387
|
445 |
atomty t;
|
wneuper@59387
|
446 |
val t = (Thm.term_of o the o (parse thy)) "2";
|
wneuper@59387
|
447 |
atomty t;
|
wneuper@59387
|
448 |
val t = (Thm.term_of o the o (parse thy)) "999999999";
|
wneuper@59387
|
449 |
atomty t;
|
wneuper@59387
|
450 |
-------------------------------------------------------------------6.8.02:
|
wneuper@59387
|
451 |
|
wneuper@59387
|
452 |
> val ct = (the o (parse thy)) "a+#3+#4";
|
wneuper@59387
|
453 |
> adhoc_thm thy ("Groups.plus_class.plus",the (assoc(!eval_list,"Groups.plus_class.plus"))) ct;
|
wneuper@59387
|
454 |
val it = SOME ("add_3_4","a + 3 + 4 = a + 7 [a + 3 + 4 = a + 7]")
|
wneuper@59387
|
455 |
|
wneuper@59387
|
456 |
> val ct = (the o (parse thy)) "#3+(#4+a)";
|
wneuper@59387
|
457 |
> adhoc_thm thy ("Groups.plus_class.plus",the (assoc(!eval_list,"Groups.plus_class.plus"))) ct;
|
wneuper@59387
|
458 |
val it = SOME ("add_3_4","3 + (4 + a) = 7 + a [3 + (4 + a) = 7 + a]")
|
wneuper@59387
|
459 |
|
wneuper@59387
|
460 |
> val ct = (the o (parse thy)) "a+(#3+#4)+#5";
|
wneuper@59387
|
461 |
> adhoc_thm thy ("Groups.plus_class.plus",the (assoc(!eval_list,"Groups.plus_class.plus"))) ct;
|
wneuper@59387
|
462 |
val it = SOME ("add_3_4","3 + 4 = 7 [3 + 4 = 7]") : (string * thm) option
|
wneuper@59387
|
463 |
|
wneuper@59387
|
464 |
> val ct = (the o (parse thy)) "#3*(#4*a)";
|
wneuper@59387
|
465 |
> adhoc_thm thy ("Groups.times_class.times",the (assoc(!eval_list,"Groups.times_class.times"))) ct;
|
wneuper@59387
|
466 |
val it = SOME ("mult_3_4","3 * (4 * a) = 12 * a [3 * (4 * a) = 12 * a]")
|
wneuper@59387
|
467 |
|
wneuper@59387
|
468 |
> val ct = (the o (parse thy)) "#3 + #4^^^#2 + #5";
|
wneuper@59387
|
469 |
> adhoc_thm thy ("pow",the (assoc(!eval_list,"pow"))) ct;
|
wneuper@59387
|
470 |
val it = SOME ("4_(+2)","4 ^ 2 = 16 [4 ^ 2 = 16]") : (string * thm) option
|
wneuper@59387
|
471 |
|
wneuper@59387
|
472 |
> val ct = (the o (parse thy)) "#-4//#-2";
|
wneuper@59387
|
473 |
> adhoc_thm thy ("cancel",the (assoc(!eval_list,"cancel"))) ct;
|
wneuper@59387
|
474 |
val it = SOME ("cancel_(-4)_(-2)","(-4) // (-2) = (+2) [(-4) // (-2) = (+2)]")
|
wneuper@59387
|
475 |
|
wneuper@59387
|
476 |
> val ct = (the o (parse thy)) "#6//#-8";
|
wneuper@59387
|
477 |
> adhoc_thm thy ("cancel",the (assoc(!eval_list,"cancel"))) ct;
|
wneuper@59387
|
478 |
val it = SOME ("cancel_6_(-8)","6 // (-8) = (-3) // 4 [6 // (-8) = (-3) // 4]")
|
wneuper@59387
|
479 |
|
wneuper@59387
|
480 |
*)
|
wneuper@59387
|
481 |
|
wneuper@59387
|
482 |
(*
|
wneuper@59387
|
483 |
--------------------------
|
wneuper@59387
|
484 |
> val ct = (the o (parse thy)) "3 =!= 3";
|
wneuper@59387
|
485 |
> val (thmid, thm) = the (adhoc_thm thy "Atools.ident" ct);
|
wneuper@59387
|
486 |
val thm = "(3 =!= 3) = True [(3 =!= 3) = True]" : thm
|
wneuper@59387
|
487 |
|
wneuper@59387
|
488 |
> val ct = (the o (parse thy)) "~ (3 =!= 3)";
|
wneuper@59387
|
489 |
> val (thmid, thm) = the (adhoc_thm thy "Atools.ident" ct);
|
wneuper@59387
|
490 |
val thm = "(3 =!= 3) = True [(3 =!= 3) = True]" : thm
|
wneuper@59387
|
491 |
|
wneuper@59387
|
492 |
> val ct = (the o (parse thy)) "3 =!= 4";
|
wneuper@59387
|
493 |
> val (thmid, thm) = the (adhoc_thm thy "Atools.ident" ct);
|
wneuper@59387
|
494 |
val thm = "(3 =!= 4) = False [(3 =!= 4) = False]" : thm
|
wneuper@59387
|
495 |
|
wneuper@59387
|
496 |
> val ct = (the o (parse thy)) "( 4 + (4 * x + x ^ 2) =!= (+0))";
|
wneuper@59387
|
497 |
> val (thmid, thm) = the (adhoc_thm thy "Atools.ident" ct);
|
wneuper@59387
|
498 |
"(4 + (4 * x + x ^ 2) =!= (+0)) = False"
|
wneuper@59387
|
499 |
|
wneuper@59387
|
500 |
> val ct = (the o (parse thy)) "~ ( 4 + (4 * x + x ^ 2) =!= (+0))";
|
wneuper@59387
|
501 |
> val (thmid, thm) = the (adhoc_thm thy "Atools.ident" ct);
|
wneuper@59387
|
502 |
"(4 + (4 * x + x ^ 2) =!= (+0)) = False"
|
wneuper@59387
|
503 |
|
wneuper@59387
|
504 |
> val ct = (the o (parse thy)) "~ ( 4 + (4 * x + x ^ 2) =!= (+0))";
|
wneuper@59387
|
505 |
> val rls = eval_rls;
|
wneuper@59387
|
506 |
> val (ct,_) = the (rewrite_set_ thy false rls ct);
|
wneuper@59387
|
507 |
val ct = "HOL.True" : cterm
|
wneuper@59387
|
508 |
--------------------------
|
wneuper@59387
|
509 |
*)
|
wneuper@59387
|
510 |
|