neuper@37906
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(* use"systest/subp-rooteq.sml";
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neuper@37906
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use"subp-rooteq.sml";
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neuper@37906
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*)
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neuper@37906
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val c = [];
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neuper@37906
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neuper@37906
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"---------------- miniscript with mini-subpbl -------------";
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neuper@37906
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"---------------- solve_linear as rootpbl -----------------";
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neuper@37906
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"---------------- solve_plain_square as rootpbl -----------";
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neuper@37906
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"---------------- root-eq + subpbl: solve_linear ----------";
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neuper@37906
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"---------------- root-eq + subpbl: solve_plain_square ----";
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neuper@37906
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"---------------- root-eq + subpbl: no_met: linear --------";
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neuper@37906
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"---------------- root-eq + subpbl: no_met: square --------";
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neuper@37906
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"---------------- no_met in rootpbl -> linear -------------";
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neuper@37906
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"==========================================================";
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neuper@37906
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15 |
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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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"---------------- miniscript with mini-subpbl -------------";
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neuper@37906
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"---------------- miniscript with mini-subpbl -------------";
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neuper@37906
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"---------------- miniscript with mini-subpbl -------------";
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neuper@37906
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(*###########################################################
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neuper@37906
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## 12.03 next_tac repariert (gab keine Value zurueck ###
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neuper@37906
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###########################################################*)
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neuper@41970
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val fmz = ["equality (x+1=(2::real))", "solveFor x","solutions L"];
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neuper@37906
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val (dI',pI',mI') =
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neuper@38058
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("Test",["sqroot-test","univariate","equation","test"],
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neuper@37906
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["Test","squ-equ-test-subpbl1"]);
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neuper@37906
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neuper@48790
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val Prog sc = (#scr o get_met) ["Test","squ-equ-test-subpbl1"];
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neuper@41970
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(writeln o term2str) sc;
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neuper@37906
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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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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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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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(*val nxt = ("Add_Find",Add_Find "solutions L") : 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@38058
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(*val 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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(*("Specify_Problem",Specify_Problem ["sqroot-test","univariate","equation"]*)
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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@38058
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(*("Specify_Method",Specify_Method ("Test","squ-equ-test-subpbl1"))*)
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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@38058
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(*val nxt = ("Apply_Method",Apply_Method ("Test","squ-equ-test-subpbl1"*)
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neuper@37906
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(*---vvv--- nxt_ here = loc_ below ------------------vvv-------------------*)
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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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(*val f = "x + 1 = 2"; val nxt = Rewrite_Set "norm_equation"*)
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neuper@37906
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(*### solve Apply_Method: is = ### nxt_solv1 Apply_Method: store is
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, x + 1 = 2)","
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neuper@37906
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(v_, x)"],
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neuper@37926
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[], NONE,
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neuper@37906
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??.empty, Safe, true) ########## OK*)
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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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(*val f = "x + 1 + -1 * 2 = 0"; val nxt = Rewrite_Set "Test_simplify"*)
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neuper@37906
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(*### locate_gen----------: is= ### next_tac----------------:E =
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, x + 1 = 2)","
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neuper@37906
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(v_, x)"],
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neuper@37926
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[], NONE,
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neuper@37906
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??.empty, Safe, true) ########## OK von loc_ uebernommen
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neuper@37906
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### solve, after locate_gen: is= ### nxt_solv4 Apply_Method: stored is =
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, x + 1 = 2)","
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neuper@37906
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(v_, x)"],
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neuper@37981
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[R,L,R,L,L,R,R], SOME e_e,
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neuper@37906
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x + 1 + -1 * 2 = 0, Safe, true) ########## OK*)
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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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neuper@37906
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neuper@38058
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(*val f = "-1 + x = 0"; val nxt = Subproblem ("Test",[#,#,#])
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neuper@37906
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~*)
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neuper@37906
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(*### locate_gen-----------: is= ### next_tac-----------------: E=
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, x + 1 = 2)","
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neuper@37906
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(v_, x)"],
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neuper@37981
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[R,L,R,L,L,R,R], SOME e_e,
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neuper@37906
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x + 1 + -1 * 2 = 0, Safe, true) ########## OK von loc_ uebernommen
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neuper@37906
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### solve, after locate_gen: is= ### nxt_solv4 Apply_Method: stored is =
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, x + 1 = 2)","
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neuper@37906
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(v_, x)"],
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neuper@37981
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[R,L,R,L,R,R], SOME e_e,
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neuper@37906
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-1 + x = 0, Safe, false) ########## OK*)
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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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(*### locate_gen------------: is= ### next_tac-----------------: E=
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, x + 1 = 2)","
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neuper@37906
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(v_, x)"],
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neuper@37981
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[R,L,R,L,R,R], SOME e_e,
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neuper@37906
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-1 + x = 0, Safe, false) ########## OK von loc_ uebernommen
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neuper@37906
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### solve, after locate_gen: is= ### nxt_solv4 Apply_Method: stored is =
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neuper@37906
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ScrState (["
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neuper@37906
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(e_, -1 + x = 0)","
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neuper@37906
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(v_, x)"],
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neuper@37981
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[R,R,D,L,R], SOME e_e,
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neuper@37906
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Subproblem (Test.thy, [linear, univariate, equation, test]), Safe, true)
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neuper@37906
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########## OK*)
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neuper@37906
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p;
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neuper@48895
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writeln(istate2str (fst (get_istate pt ([3],Frm))));
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neuper@37906
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(*val nxt = ("Model_Problem",Model_Problem ["linear","univariate","equation"]*)
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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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(*val nxt = ("Add_Given",Add_Given "equality (-1 + x = 0)") *)
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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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(*val nxt = ("Add_Given",Add_Given "solveFor x") : 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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(*val nxt = ("Add_Find",Add_Find "solutions x_i") : 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@38058
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(*val nxt = ("Specify_Theory",Specify_Theory "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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(*("Specify_Problem",Specify_Problem ["linear","univariate","equation"])*)
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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@38058
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(*val nxt = ("Specify_Method",Specify_Method ("Test","solve_linear"))*)
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neuper@48790
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val Prog sc = (#scr o get_met) ["Test","solve_linear"];
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neuper@37906
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(writeln o term2str) sc;
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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@38058
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(*val nxt = ("Apply_Method",Apply_Method ("Test","solve_linear"))*)
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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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(*val nxt = ("Rewrite_Set_Inst",Rewrite_Set_Inst ([#],"isolate_bdv"))*)
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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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(*val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify")*)
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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@37906
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(*val nxt = ("Check_Postcond",Check_Postcond ["linear","univariate","eq*)
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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@37906
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p;
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neuper@48895
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writeln(istate2str (fst (get_istate pt ([3],Res))));
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neuper@37906
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(*val nxt = ("Check_elementwise",Check_elementwise "Assumptions")*)
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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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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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val Form' (FormKF (_,EdUndef,0,Nundef,res)) = f;
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neuper@37906
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if (snd nxt)=End_Proof' andalso res="[x = 1]" then ()
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neuper@38031
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else error "subp-rooteq.sml: new.behav. in miniscript with mini-subpbl";
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neuper@37906
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neuper@37906
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neuper@37906
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"---------------- solve_linear as rootpbl -----------------";
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neuper@37906
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"---------------- solve_linear as rootpbl -----------------";
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neuper@37906
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"---------------- solve_linear as rootpbl -----------------";
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neuper@42124
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val fmz = ["equality (1+-1*2+x=(0::real))",
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neuper@37906
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"solveFor x","solutions L"];
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neuper@37906
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val (dI',pI',mI') =
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neuper@38058
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("Test",["linear","univariate","equation","test"],
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neuper@37906
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["Test","solve_linear"]);
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neuper@37906
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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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(*val nxt = ("Add_Given",Add_Given "equality (x + #1 + #-1 * #2 = #0)")*)
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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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(*val nxt = ("Add_Given",Add_Given "solveFor x") : 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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(*val nxt = ("Add_Find",Add_Find "solutions L") : 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@38058
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(*val 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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(*val nxt = ("Specify_Problem",Specify_Problem ["univariate","equation"])*)
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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@38058
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(*val nxt = ("Specify_Method",Specify_Method ("Test","solve_linear"))*)
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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@38058
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(*val nxt = ("Apply_Method",Apply_Method ("Test","solve_linear"))*)
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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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(*val f = Form' (FormKF (~1,EdUndef,1,Nundef,"#1 + #-1 * #2 + x = #0"))
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neuper@37906
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val nxt = ("Rewrite_Set_Inst",Rewrite_Set_Inst ([#],"isolate_bdv"))*)
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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@37906
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(*val f = Form' (FormKF (~1,EdUndef,1,Nundef,"x = #0 + #-1 * (#1 + #-1 * #2)"))
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neuper@37906
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val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify") : string * tac*)
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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@37906
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(*val f = Form' (FormKF (~1,EdUndef,1,Nundef,"x = #1")) : mout val nxt = ("Check_Postcond",Check_Postcond ["univariate","equation"])*)
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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@37906
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(*val f = Form' (FormKF (~1,EdUndef,0,Nundef,"[x = #1]")) : mout
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neuper@37906
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val nxt = ("End_Proof'",End_Proof') : string * tac*)
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neuper@37906
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val Form' (FormKF (_,EdUndef,0,Nundef,res)) = f;
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neuper@37906
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if (snd nxt)=End_Proof' andalso res="[x = 1]" then ()
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neuper@38031
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else error "subp-rooteq.sml: new.behav. in solve_linear as rootpbl";
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neuper@37906
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neuper@37906
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neuper@37906
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"---------------- solve_plain_square as rootpbl -----------";
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neuper@37906
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"---------------- solve_plain_square as rootpbl -----------";
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neuper@37906
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"---------------- solve_plain_square as rootpbl -----------";
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neuper@37906
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val fmz = ["equality (9 + -1 * x ^^^ 2 = 0)","solveFor x",
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neuper@37906
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"solutions L"];
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neuper@37906
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val (dI',pI',mI') =
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neuper@38058
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("Test",["plain_square","univariate","equation","test"],
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neuper@37906
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["Test","solve_plain_square"]);
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neuper@37906
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(*val p = e_pos'; val c = [];
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neuper@37906
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val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
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val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
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neuper@37906
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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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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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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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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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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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201 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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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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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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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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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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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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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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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
|
209 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
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neuper@37906
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211 |
if snd nxt=End_Proof' andalso res="[x = -3, x = 3]" then ()
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neuper@38031
|
212 |
else error "subp-rooteq.sml: new.behav. in solve_plain_square as rootpbl";
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neuper@37906
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213 |
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neuper@37906
|
214 |
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neuper@37906
|
215 |
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neuper@37906
|
216 |
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neuper@37906
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217 |
"---------------- root-eq + subpbl: solve_linear ----------";
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neuper@37906
|
218 |
"---------------- root-eq + subpbl: solve_linear ----------";
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neuper@37906
|
219 |
"---------------- root-eq + subpbl: solve_linear ----------";
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neuper@37906
|
220 |
val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(5+x))",
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neuper@37906
|
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"solveFor x","solutions L"];
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neuper@37906
|
222 |
val (dI',pI',mI') =
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neuper@38058
|
223 |
("Test",["sqroot-test","univariate","equation","test"],
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neuper@37906
|
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["Test","square_equation1"]);
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neuper@37906
|
225 |
(*val p = e_pos'; val c = [];
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neuper@37906
|
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val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
|
227 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
|
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
230 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
231 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
232 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
233 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
234 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
235 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
236 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
237 |
(*"sqrt (9 + 4 * x) = sqrt x + sqrt (5 + x)"
|
neuper@37906
|
238 |
square_equation_left*)
|
neuper@37906
|
239 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
240 |
(*"9 + 4 * x = (sqrt x + sqrt (5 + x)) ^^^ 2"
|
neuper@37906
|
241 |
Test_simplify*)
|
neuper@37906
|
242 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
243 |
(*"9 + 4 * x = 5 + (2 * x + 2 * sqrt (x ^^^ 2 + 5 * x))"
|
neuper@37906
|
244 |
rearrange_assoc*)
|
neuper@37906
|
245 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
246 |
(*"9 + 4 * x = 5 + 2 * x + 2 * sqrt (x ^^^ 2 + 5 * x)"
|
neuper@37906
|
247 |
isolate_root*)
|
neuper@37906
|
248 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
249 |
(*"sqrt (x ^^^ 2 + 5 * x) = (5 + 2 * x + -1 * (9 + 4 * x)) / (-1 * 2)"
|
neuper@37906
|
250 |
Test_simplify*)
|
neuper@37906
|
251 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
252 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
253 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
254 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
255 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
256 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
257 |
(*"x ^^^ 2 + 5 * x + -1 * (4 + (x ^^^ 2 + 4 * x)) = 0"*)
|
neuper@37906
|
258 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
259 |
(*"-4 + x = 0"
|
neuper@38058
|
260 |
val nxt =("Subproblem",Subproblem ("Test",["linear","univariate"...*)
|
neuper@37906
|
261 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
262 |
(*val nxt =("Model_Problem",Model_Problem ["linear","univariate"...*)
|
neuper@37906
|
263 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
264 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
265 |
|
neuper@37906
|
266 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
267 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
268 |
(*val nxt = ("Specify_Theory",Specify_Theory "Test")*)
|
neuper@37906
|
269 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
270 |
(*("Specify_Problem",Specify_Problem ["linear","univariate","equation"])*)
|
neuper@37906
|
271 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
272 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
273 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
274 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
275 |
(*"x = 0 + -1 * -4", nxt Test_simplify*)
|
neuper@37906
|
276 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
277 |
(*"x = 4", nxt Check_Postcond ["linear","univariate","equation","test"]*)
|
neuper@37906
|
278 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
279 |
(*"[x = 4]", nxt Check_elementwise "Assumptions"*)
|
neuper@37906
|
280 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
281 |
(*"[]", nxt Check_Postcond ["sqroot-test","univariate","equation","test"]*)
|
neuper@37906
|
282 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
283 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
neuper@37906
|
284 |
if (snd nxt)=End_Proof' andalso res="[x = 4]" then ()
|
neuper@38031
|
285 |
else error "subp-rooteq.sml: new.behav. in root-eq + subpbl: solve_linear";
|
neuper@37906
|
286 |
|
neuper@37906
|
287 |
|
neuper@37906
|
288 |
|
neuper@37906
|
289 |
"---------------- root-eq + subpbl: solve_plain_square ----";
|
neuper@37906
|
290 |
"---------------- root-eq + subpbl: solve_plain_square ----";
|
neuper@37906
|
291 |
"---------------- root-eq + subpbl: solve_plain_square ----";
|
neuper@37906
|
292 |
val fmz = ["equality (sqrt(5+x)+sqrt(5-x)=sqrt 18)",
|
neuper@37906
|
293 |
"solveFor x","solutions L"];
|
neuper@37906
|
294 |
val (dI',pI',mI') =
|
neuper@38058
|
295 |
("Test",["sqroot-test","univariate","equation","test"],
|
neuper@37906
|
296 |
["Test","square_equation2"]);
|
neuper@48790
|
297 |
val Prog sc = (#scr o get_met) ["Test","square_equation2"];
|
neuper@37906
|
298 |
(writeln o term2str) sc;
|
neuper@37906
|
299 |
|
neuper@37906
|
300 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
301 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
302 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
303 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
304 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
305 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
306 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
307 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
308 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
309 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
310 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
311 |
(*val nxt = ("Apply_Method",Apply_Method ("Test","square_equation1"))*)
|
neuper@37906
|
312 |
val (p,_,f,nxt,_,pt) =
|
neuper@37906
|
313 |
|
neuper@37906
|
314 |
me nxt p [1] pt;
|
neuper@37906
|
315 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
316 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
317 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
318 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
319 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
320 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
321 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
322 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
323 |
(*"9 + -1 * x ^^^ 2 = 0"
|
neuper@38058
|
324 |
Subproblem ("Test",["plain_square","univariate","equation"]))*)
|
neuper@37906
|
325 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
326 |
(*Model_Problem ["plain_square","univariate","equation"]*)
|
neuper@37906
|
327 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
328 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
329 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
330 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
331 |
(*val nxt = ("Specify_Theory",Specify_Theory "Test")*)
|
neuper@37906
|
332 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
333 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
334 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
335 |
(*Apply_Method ("Test","solve_plain_square")*)
|
neuper@37906
|
336 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
337 |
(*"9 + -1 * x ^^^ 2 = 0", nxt Rewrite_Set "isolate_bdv"*)
|
neuper@37906
|
338 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
339 |
(*"x ^^^ 2 = (0 + -1 * 9) / -1", nxt Rewrite_Set "Test_simplify"*)
|
neuper@37906
|
340 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
341 |
(*"x ^^^ 2 = 9", nxt Rewrite ("square_equality"*)
|
neuper@37906
|
342 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
343 |
(*"x = sqrt 9 | x = -1 * sqrt 9", nxt Rewrite_Set "tval_rls"*)
|
neuper@37906
|
344 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
345 |
(*"x = -3 | x = 3", nxt Or_to_List*)
|
neuper@37906
|
346 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
347 |
(*"[x = -3, x = 3]",
|
neuper@37906
|
348 |
nxt Check_Postcond ["plain_square","univariate","equation","test"]*)
|
neuper@37906
|
349 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
350 |
|
neuper@37906
|
351 |
|
neuper@37906
|
352 |
|
neuper@37906
|
353 |
(*"[x = -3, x = 3]", nxt Check_elementwise "Assumptions"*)
|
neuper@37906
|
354 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
355 |
(*"[]", nxt Check_Postcond ["sqroot-test","univariate","equation","test"]*)
|
neuper@37906
|
356 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
357 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
neuper@37906
|
358 |
if (snd nxt)=End_Proof' andalso res="[x = -3, x = 3]" then ()
|
neuper@38031
|
359 |
else error "subp-rooteq.sml: new.behav. in root-eq + subpbl: solve_plain_square";
|
neuper@37906
|
360 |
|
neuper@37906
|
361 |
|
neuper@37906
|
362 |
writeln (pr_ptree pr_short pt);
|
neuper@37906
|
363 |
|
neuper@37906
|
364 |
|
neuper@37906
|
365 |
|
neuper@48790
|
366 |
val Prog s = (#scr o get_met) ["Test","square_equation"];
|
neuper@37906
|
367 |
atomt s;
|
neuper@37906
|
368 |
|
neuper@37906
|
369 |
|
neuper@37906
|
370 |
|
neuper@37906
|
371 |
|
neuper@37906
|
372 |
"---------------- root-eq + subpbl: no_met: linear ----";
|
neuper@37906
|
373 |
"---------------- root-eq + subpbl: no_met: linear ----";
|
neuper@37906
|
374 |
"---------------- root-eq + subpbl: no_met: linear ----";
|
neuper@37906
|
375 |
val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(5+x))",
|
neuper@37906
|
376 |
"solveFor x","solutions L"];
|
neuper@37906
|
377 |
val (dI',pI',mI') =
|
neuper@38058
|
378 |
("Test",["squareroot","univariate","equation","test"],
|
neuper@37906
|
379 |
["Test","square_equation"]);
|
neuper@37906
|
380 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
381 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
382 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
383 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
384 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
385 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
386 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
387 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
388 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
389 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
390 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
391 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
392 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
393 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
394 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
395 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
396 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
397 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
398 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
399 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
400 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
401 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
402 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
403 |
(*"-4 + x = 0", nxt Subproblem ("Test",["univariate","equation"]))*)
|
neuper@37906
|
404 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
405 |
(*val nxt =("Model_Problem",Model_Problem ["linear","univar...*)
|
neuper@37906
|
406 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
407 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
408 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
409 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
410 |
(*val nxt = ("Specify_Theory",Specify_Theory "Test")*)
|
neuper@37906
|
411 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
412 |
(*val nxt = ("Specify_Problem",Specify_Problem ["linear","univariate","equ*)
|
neuper@37906
|
413 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
414 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
415 |
(*Apply_Method ("Test","norm_univar_equation")*)
|
neuper@37906
|
416 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
417 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
418 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
419 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
420 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
421 |
if p = ([13],Res) then ()
|
neuper@38031
|
422 |
else error ("subp-rooteq.sml: new.behav. in \
|
neuper@37906
|
423 |
\root-eq + subpbl: solve_linear, p ="^(pos'2str p));
|
neuper@37906
|
424 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
425 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
neuper@37906
|
426 |
if (snd nxt)=End_Proof' andalso res="[x = 4]" then ()
|
neuper@38031
|
427 |
else error "subp-rooteq.sml: new.behav. in root-eq + subpbl: solve_plain_square";
|
neuper@37906
|
428 |
|
neuper@37906
|
429 |
|
neuper@37906
|
430 |
|
neuper@37906
|
431 |
|
neuper@37906
|
432 |
"---------------- root-eq + subpbl: no_met: square ----";
|
neuper@37906
|
433 |
"---------------- root-eq + subpbl: no_met: square ----";
|
neuper@37906
|
434 |
"---------------- root-eq + subpbl: no_met: square ----";
|
neuper@37906
|
435 |
val fmz = ["equality (sqrt(5+x)+sqrt(5-x)=sqrt 18)",
|
neuper@37906
|
436 |
"solveFor x","solutions L"];
|
neuper@37906
|
437 |
val (dI',pI',mI') =
|
neuper@38058
|
438 |
("Test",["squareroot","univariate","equation","test"],
|
neuper@37906
|
439 |
["Test","square_equation"]);
|
neuper@48790
|
440 |
val Prog sc = (#scr o get_met) ["Test","square_equation"];
|
neuper@37906
|
441 |
(writeln o term2str) sc;
|
neuper@37906
|
442 |
|
neuper@37906
|
443 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
444 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
445 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
446 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
447 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
448 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
449 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
450 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
451 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
452 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
453 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
454 |
(*val nxt = ("Apply_Method",Apply_Method ("Test","square_equation1"))*)
|
neuper@37906
|
455 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
456 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
457 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
458 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
459 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
460 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
461 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
462 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
463 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
464 |
(*Subproblem ("Test",["univariate","equation"]))*)
|
neuper@37906
|
465 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
466 |
(*Model_Problem ["plain_square","univariate","equation"]*)
|
neuper@37906
|
467 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
468 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
469 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
470 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@38058
|
471 |
(*val nxt = ("Specify_Theory",Specify_Theory "Test")*)
|
neuper@37906
|
472 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
473 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
474 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
475 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
476 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
477 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
478 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
479 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
480 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
481 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
482 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
483 |
(*val nxt = ("Check_Postcond",Check_Postcond ["squareroot","univariate","equ*)
|
neuper@37906
|
484 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
neuper@37906
|
485 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
neuper@37906
|
486 |
if (snd nxt)=End_Proof' andalso res="[x = -3, x = 3]" then ()
|
neuper@38031
|
487 |
else error "subp-rooteq.sml: new.behav. in root-eq + subpbl: no_met: square";
|
neuper@37906
|
488 |
|
neuper@37906
|
489 |
|
neuper@37906
|
490 |
|
neuper@37906
|
491 |
"---------------- no_met in rootpbl -> linear --------------";
|
neuper@37906
|
492 |
"---------------- no_met in rootpbl -> linear --------------";
|
neuper@37906
|
493 |
"---------------- no_met in rootpbl -> linear --------------";
|
neuper@37906
|
494 |
val fmz = ["equality (1+2*x+3=4*x- 6)",
|
neuper@37906
|
495 |
"solveFor x","solutions L"];
|
neuper@37906
|
496 |
val (dI',pI',mI') =
|
neuper@38058
|
497 |
("Test",["univariate","equation","test"],
|
neuper@37906
|
498 |
["no_met"]);
|
neuper@37906
|
499 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
500 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
501 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
502 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
503 |
(*val nxt = ("Model_Problem",Model_Problem ["normalize","univariate","equati*)
|
neuper@37906
|
504 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
505 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
506 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
507 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
508 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
509 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
510 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@38058
|
511 |
(*val nxt = ("Apply_Method",Apply_Method ("Test","norm_univar_equation"*)
|
neuper@37906
|
512 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
513 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
514 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@38058
|
515 |
(*val nxt = ("Subproblem",Subproblem ("Test",["univariate","equation"])*)
|
neuper@37906
|
516 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
517 |
(*val nxt = ("Model_Problem",Model_Problem ["linear","univariate","equation"]*)
|
neuper@37906
|
518 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
519 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
520 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
521 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
522 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
523 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
524 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@38058
|
525 |
(*val nxt = ("Apply_Method",Apply_Method ("Test","solve_linear"))*)
|
neuper@37906
|
526 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
527 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
528 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
529 |
(*val nxt = ("Check_Postcond",Check_Postcond ["linear","univariate","equatio*)
|
neuper@37906
|
530 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
531 |
(*val nxt = ("Check_Postcond",Check_Postcond ["normalize","univariate","equa*)
|
neuper@37906
|
532 |
val (p,_,Form' (FormKF (_,_,_,_,f)),nxt,_,_) =
|
neuper@37906
|
533 |
me nxt p c pt;
|
neuper@37906
|
534 |
if f="[x = 5]" andalso nxt=("End_Proof'",End_Proof') then ()
|
neuper@38031
|
535 |
else error "subp-rooteq.sml: new.behav. in no_met in rootpbl -> linear ---";
|
neuper@37906
|
536 |
|
neuper@37906
|
537 |
|
neuper@37906
|
538 |
refine fmz ["univariate","equation","test"];
|
neuper@37906
|
539 |
match_pbl fmz (get_pbt ["polynomial","univariate","equation","test"]);
|
neuper@37906
|
540 |
|