agriesma@338
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(* use"tests/subp-rooteq.sml";
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agriesma@338
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use"subp-rooteq.sml";
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agriesma@338
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*)
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agriesma@338
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4 |
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agriesma@338
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agriesma@338
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"---------------- miniscript with mini-subpbl -------------";
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agriesma@338
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"---------------- solve_linear as rootpbl -----------------";
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agriesma@338
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"---------------- solve_plain_square as rootpbl -----------";
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agriesma@338
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"---------------- root-eq + subpbl: solve_linear ----------";
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agriesma@338
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"---------------- root-eq + subpbl: solve_plain_square ----";
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agriesma@338
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"---------------- root-eq + subpbl: no_met: linear ----";
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agriesma@338
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"---------------- root-eq + subpbl: no_met: square ----";
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agriesma@338
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"---------------- no_met in rootpbl -> linear --------------";
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agriesma@338
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agriesma@338
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15 |
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agriesma@338
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agriesma@338
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agriesma@338
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agriesma@338
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"---------------- miniscript with mini-subpbl -------------";
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agriesma@338
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"---------------- miniscript with mini-subpbl -------------";
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agriesma@338
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"---------------- miniscript with mini-subpbl -------------";
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agriesma@338
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val fmz = ["equality (x+1=2)",
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agriesma@338
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"solveFor x","errorBound (eps=0)",
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agriesma@338
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"solutions L"];
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agriesma@338
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val (dI',pI',mI') =
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agriesma@338
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("Test.thy",["sqroot-test","univariate","equation","test"],
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agriesma@338
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("Test.thy","squ-equ-test-subpbl1"));
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agriesma@338
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val Script sc = (#scr o get_met) ("Test.thy","squ-equ-test-subpbl1");
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agriesma@338
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(writeln o term2str) sc;
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agriesma@338
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agriesma@338
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val p = e_pos'; val c = [];
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agriesma@338
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val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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agriesma@338
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val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Add_Find",Add_Find "solutions L") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*("Specify_Problem",Specify_Problem ["sqroot-test","univariate","equation"]*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*("Specify_Method",Specify_Method ("Test.thy","squ-equ-test-subpbl1"))*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","squ-equ-test-subpbl1"*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Rewrite_Set",Rewrite_Set "norm_equation") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify")*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Subproblem",Subproblem ("Test.thy",[#,#,#])) : string * mstep
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agriesma@338
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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p;
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agriesma@338
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writeln(istate2str (get_istate pt ([3],Frm)));
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agriesma@338
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(*val nxt = ("Model_Problem",Model_Problem ["linear","univariate","equation"]*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Add_Given",Add_Given "equality (-1 + x = 0)") *)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Add_Given",Add_Given "solveFor x") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Add_Find",Add_Find "solutions x_i") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy")*)
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agriesma@338
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agriesma@338
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agriesma@338
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(*-----30.9.02----------------------------------------------*)
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agriesma@338
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*("Specify_Problem",Specify_Problem ["linear","univariate","equation"])*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Specify_Method",Specify_Method ("Test.thy","solve_linear"))*)
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agriesma@338
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val Script sc = (#scr o get_met) ("Test.thy","solve_linear");
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agriesma@338
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(writeln o term2str) sc;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","solve_linear"))*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Rewrite_Set_Inst",Rewrite_Set_Inst ([#],"isolate_bdv"))*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify")*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Check_Postcond",Check_Postcond ["linear","univariate","eq*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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p;
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agriesma@338
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writeln(istate2str (get_istate pt ([3],Res)));
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agriesma@338
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agriesma@338
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(*val nxt = ("Check_elementwise",Check_elementwise "Assumptions")*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
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agriesma@338
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if (snd nxt)=End_Proof' andalso res="[x = 1]" then ()
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agriesma@338
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else raise error "new behaviour in test: miniscript with mini-subpbl";
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agriesma@338
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agriesma@338
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agriesma@338
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"---------------- solve_linear as rootpbl -----------------";
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agriesma@338
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"---------------- solve_linear as rootpbl -----------------";
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agriesma@338
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"---------------- solve_linear as rootpbl -----------------";
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agriesma@338
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val fmz = ["equality (1+-1*2+x=0)",
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agriesma@338
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"solveFor x","solutions L"];
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agriesma@338
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val (dI',pI',mI') =
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agriesma@338
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("Test.thy",["linear","univariate","equation","test"],
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agriesma@338
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("Test.thy","solve_linear"));
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agriesma@338
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val p = e_pos'; val c = [];
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agriesma@338
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val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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agriesma@338
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val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
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agriesma@338
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(*val nxt = ("Add_Given",Add_Given "equality (x + #1 + #-1 * #2 = #0)")*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Add_Given",Add_Given "solveFor x") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Add_Find",Add_Find "solutions L") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Specify_Problem",Specify_Problem ["univariate","equation"])*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Specify_Method",Specify_Method ("Test.thy","solve_linear"))*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","solve_linear"))*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val f = Form' (FormKF (~1,EdUndef,1,Nundef,"#1 + #-1 * #2 + x = #0"))
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agriesma@338
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val nxt = ("Rewrite_Set_Inst",Rewrite_Set_Inst ([#],"isolate_bdv"))*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val f = Form' (FormKF (~1,EdUndef,1,Nundef,"x = #0 + #-1 * (#1 + #-1 * #2)"))
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agriesma@338
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val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify") : string * mstep*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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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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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val f = Form' (FormKF (~1,EdUndef,0,Nundef,"[x = #1]")) : mout
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agriesma@338
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val nxt = ("End_Proof'",End_Proof') : string * mstep*)
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agriesma@338
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val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
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agriesma@338
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if (snd nxt)=End_Proof' andalso res="[x = 1]" then ()
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agriesma@338
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else raise error "new behaviour in test: solve_linear as rootpbl";
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agriesma@338
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agriesma@338
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agriesma@338
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"---------------- solve_plain_square as rootpbl -----------";
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agriesma@338
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"---------------- solve_plain_square as rootpbl -----------";
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agriesma@338
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"---------------- solve_plain_square as rootpbl -----------";
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agriesma@338
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val fmz = ["equality (9 + -1 * x ^^^ 2 = 0)","solveFor x",
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agriesma@338
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"solutions L"];
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agriesma@338
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val (dI',pI',mI') =
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agriesma@338
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("Test.thy",["plain_square","univariate","equation","test"],
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agriesma@338
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("Test.thy","solve_plain_square"));
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agriesma@338
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val p = e_pos'; val c = [];
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agriesma@338
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val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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agriesma@338
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val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
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agriesma@338
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
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agriesma@338
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if snd nxt=End_Proof' andalso res="[x = -3, x = 3]" then ()
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agriesma@338
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else raise error "new behaviour in test: solve_plain_square as rootpbl";
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agriesma@338
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agriesma@338
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agriesma@338
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agriesma@338
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agriesma@338
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"---------------- root-eq + subpbl: solve_linear ----------";
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agriesma@338
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"---------------- root-eq + subpbl: solve_linear ----------";
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agriesma@338
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"---------------- root-eq + subpbl: solve_linear ----------";
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agriesma@338
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val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(5+x))",
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agriesma@338
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"solveFor x","errorBound (eps=0)",
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agriesma@338
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"solutions L"];
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agriesma@338
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val (dI',pI',mI') =
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agriesma@338
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("Test.thy",["sqroot-test","univariate","equation","test"],
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agriesma@338
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("Test.thy","square_equation1"));
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agriesma@338
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val p = e_pos'; val c = [];
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agriesma@338
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val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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agriesma@338
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val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*"sqrt (9 + 4 * x) = sqrt x + sqrt (5 + x)"
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agriesma@338
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square_equation_left*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*"9 + 4 * x = (sqrt x + sqrt (5 + x)) ^^^ 2"
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agriesma@338
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Test_simplify*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*"9 + 4 * x = 5 + (2 * x + 2 * sqrt (x ^^^ 2 + 5 * x))"
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agriesma@338
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194 |
rearrange_assoc*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*"9 + 4 * x = 5 + 2 * x + 2 * sqrt (x ^^^ 2 + 5 * x)"
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agriesma@338
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isolate_root*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*"sqrt (x ^^^ 2 + 5 * x) = (5 + 2 * x + -1 * (9 + 4 * x)) / (-1 * 2)"
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agriesma@338
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Test_simplify*)
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agriesma@338
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201 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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202 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*"x ^^^ 2 + 5 * x + -1 * (4 + (x ^^^ 2 + 4 * x)) = 0"*)
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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209 |
(*"-4 + x = 0"
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agriesma@338
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210 |
val nxt =("Subproblem",Subproblem ("Test.thy",["linear","univariate"...*)
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agriesma@338
|
211 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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(*val nxt =("Model_Problem",Model_Problem ["linear","univariate"...*)
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agriesma@338
|
213 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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214 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
|
216 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
|
217 |
(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy")*)
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agriesma@338
|
218 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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agriesma@338
|
219 |
(*("Specify_Problem",Specify_Problem ["linear","univariate","equation"])*)
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agriesma@338
|
220 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
221 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
222 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
223 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
224 |
(*"x = 0 + -1 * -4", nxt Test_simplify*)
|
agriesma@338
|
225 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
226 |
(*"x = 4", nxt Check_Postcond ["linear","univariate","equation","test"]*)
|
agriesma@338
|
227 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
228 |
(*"[x = 4]", nxt Check_elementwise "Assumptions"*)
|
agriesma@338
|
229 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
230 |
(*"[]", nxt Check_Postcond ["sqroot-test","univariate","equation","test"]*)
|
agriesma@338
|
231 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
232 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
agriesma@338
|
233 |
if (snd nxt)=End_Proof' andalso res="[x = 4]" then ()
|
agriesma@338
|
234 |
else raise error "new behaviour in test: root-eq + subpbl: solve_linear";
|
agriesma@338
|
235 |
|
agriesma@338
|
236 |
|
agriesma@338
|
237 |
|
agriesma@338
|
238 |
"---------------- root-eq + subpbl: solve_plain_square ----";
|
agriesma@338
|
239 |
"---------------- root-eq + subpbl: solve_plain_square ----";
|
agriesma@338
|
240 |
"---------------- root-eq + subpbl: solve_plain_square ----";
|
agriesma@338
|
241 |
val fmz = ["equality (sqrt(5+x)+sqrt(5-x)=sqrt 18)",
|
agriesma@338
|
242 |
"solveFor x","errorBound (eps=0)",
|
agriesma@338
|
243 |
"solutions L"];
|
agriesma@338
|
244 |
val (dI',pI',mI') =
|
agriesma@338
|
245 |
("Test.thy",["sqroot-test","univariate","equation","test"],
|
agriesma@338
|
246 |
("Test.thy","square_equation2"));
|
agriesma@338
|
247 |
val Script sc = (#scr o get_met) ("Test.thy","square_equation2");
|
agriesma@338
|
248 |
(writeln o term2str) sc;
|
agriesma@338
|
249 |
|
agriesma@338
|
250 |
val p = e_pos'; val c = [];
|
agriesma@338
|
251 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
agriesma@338
|
252 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
|
agriesma@338
|
253 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
254 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
255 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
256 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
257 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
258 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
259 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
260 |
(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","square_equation1"))*)
|
agriesma@338
|
261 |
val (p,_,f,nxt,_,pt) =
|
agriesma@338
|
262 |
|
agriesma@338
|
263 |
me nxt p [1] pt;
|
agriesma@338
|
264 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
265 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
266 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
267 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
268 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
269 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
270 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
271 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
272 |
(*"9 + -1 * x ^^^ 2 = 0"
|
agriesma@338
|
273 |
Subproblem ("Test.thy",["plain_square","univariate","equation"]))*)
|
agriesma@338
|
274 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
275 |
(*Model_Problem ["plain_square","univariate","equation"]*)
|
agriesma@338
|
276 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
277 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
278 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
279 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
280 |
(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy")*)
|
agriesma@338
|
281 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
282 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
283 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
284 |
(*Apply_Method ("Test.thy","solve_plain_square")*)
|
agriesma@338
|
285 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
286 |
(*"9 + -1 * x ^^^ 2 = 0", nxt Rewrite_Set "isolate_bdv"*)
|
agriesma@338
|
287 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
288 |
(*"x ^^^ 2 = (0 + -1 * 9) / -1", nxt Rewrite_Set "Test_simplify"*)
|
agriesma@338
|
289 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
290 |
(*"x ^^^ 2 = 9", nxt Rewrite ("square_equality"*)
|
agriesma@338
|
291 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
292 |
(*"x = sqrt 9 | x = -1 * sqrt 9", nxt Rewrite_Set "tval_rls"*)
|
agriesma@338
|
293 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
294 |
(*"x = -3 | x = 3", nxt Or_to_List*)
|
agriesma@338
|
295 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
296 |
(*"[x = -3, x = 3]",
|
agriesma@338
|
297 |
nxt Check_Postcond ["plain_square","univariate","equation","test"]*)
|
agriesma@338
|
298 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
299 |
|
agriesma@338
|
300 |
|
agriesma@338
|
301 |
|
agriesma@338
|
302 |
(*"[x = -3, x = 3]", nxt Check_elementwise "Assumptions"*)
|
agriesma@338
|
303 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
304 |
(*"[]", nxt Check_Postcond ["sqroot-test","univariate","equation","test"]*)
|
agriesma@338
|
305 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
306 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
agriesma@338
|
307 |
if (snd nxt)=End_Proof' andalso res="[x = -3, x = 3]" then ()
|
agriesma@338
|
308 |
else raise error "new behaviour in test: root-eq + subpbl: solve_plain_square";
|
agriesma@338
|
309 |
|
agriesma@338
|
310 |
|
agriesma@338
|
311 |
writeln (pr_ptree pr_short pt);
|
agriesma@338
|
312 |
|
agriesma@338
|
313 |
|
agriesma@338
|
314 |
|
agriesma@338
|
315 |
val Script s = (#scr o get_met) ("Test.thy","square_equation");
|
agriesma@338
|
316 |
atomt s;
|
agriesma@338
|
317 |
|
agriesma@338
|
318 |
|
agriesma@338
|
319 |
|
agriesma@338
|
320 |
|
agriesma@338
|
321 |
"---------------- root-eq + subpbl: no_met: linear ----";
|
agriesma@338
|
322 |
"---------------- root-eq + subpbl: no_met: linear ----";
|
agriesma@338
|
323 |
"---------------- root-eq + subpbl: no_met: linear ----";
|
agriesma@338
|
324 |
val fmz = ["equality (sqrt(9+4*x)=sqrt x + sqrt(5+x))",
|
agriesma@338
|
325 |
"solveFor x","errorBound (eps=0)",
|
agriesma@338
|
326 |
"solutions L"];
|
agriesma@338
|
327 |
val (dI',pI',mI') =
|
agriesma@338
|
328 |
("Test.thy",["squareroot","univariate","equation","test"],
|
agriesma@338
|
329 |
("Test.thy","square_equation"));
|
agriesma@338
|
330 |
val p = e_pos'; val c = [];
|
agriesma@338
|
331 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
agriesma@338
|
332 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
|
agriesma@338
|
333 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
334 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
335 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
336 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
337 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
338 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
339 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
340 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
341 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
342 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
343 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
344 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
345 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
346 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
347 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
348 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
349 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
350 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
351 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
352 |
(*"-4 + x = 0", nxt Subproblem ("Test.thy",["univariate","equation"]))*)
|
agriesma@338
|
353 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
354 |
(*val nxt = ("Refine_Tacitly",Refine_Tacitly ["univariate","equation"])*)
|
agriesma@338
|
355 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
356 |
(*val nxt =("Model_Problem",Model_Problem ["linear","univar...*)
|
agriesma@338
|
357 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
358 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
359 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
360 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
361 |
(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy")*)
|
agriesma@338
|
362 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
363 |
(*val nxt = ("Specify_Problem",Specify_Problem ["linear","univariate","equ*)
|
agriesma@338
|
364 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
365 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
366 |
(*Apply_Method ("Test.thy","norm_univar_equation")*)
|
agriesma@338
|
367 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
368 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
369 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
370 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
371 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
372 |
if p = ([13],Res) then ()
|
agriesma@338
|
373 |
else raise error ("new behaviour in test: \
|
agriesma@338
|
374 |
\root-eq + subpbl: solve_linear, p ="^(pos'2str p));
|
agriesma@338
|
375 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
376 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
agriesma@338
|
377 |
if (snd nxt)=End_Proof' andalso res="[x = 4]" then ()
|
agriesma@338
|
378 |
else raise error "new behaviour in test: root-eq + subpbl: solve_plain_square";
|
agriesma@338
|
379 |
|
agriesma@338
|
380 |
|
agriesma@338
|
381 |
|
agriesma@338
|
382 |
|
agriesma@338
|
383 |
"---------------- root-eq + subpbl: no_met: square ----";
|
agriesma@338
|
384 |
"---------------- root-eq + subpbl: no_met: square ----";
|
agriesma@338
|
385 |
"---------------- root-eq + subpbl: no_met: square ----";
|
agriesma@338
|
386 |
val fmz = ["equality (sqrt(5+x)+sqrt(5-x)=sqrt 18)",
|
agriesma@338
|
387 |
"solveFor x","errorBound (eps=0)",
|
agriesma@338
|
388 |
"solutions L"];
|
agriesma@338
|
389 |
val (dI',pI',mI') =
|
agriesma@338
|
390 |
("Test.thy",["squareroot","univariate","equation","test"],
|
agriesma@338
|
391 |
("Test.thy","square_equation"));
|
agriesma@338
|
392 |
val Script sc = (#scr o get_met) ("Test.thy","square_equation");
|
agriesma@338
|
393 |
(writeln o term2str) sc;
|
agriesma@338
|
394 |
|
agriesma@338
|
395 |
val p = e_pos'; val c = [];
|
agriesma@338
|
396 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
agriesma@338
|
397 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
|
agriesma@338
|
398 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
399 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
400 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
401 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
402 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
403 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
404 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
405 |
(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","square_equation1"))*)
|
agriesma@338
|
406 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
407 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
408 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
409 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
410 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
411 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
412 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
413 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
414 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
415 |
(*Subproblem ("Test.thy",["univariate","equation"]))*)
|
agriesma@338
|
416 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
417 |
(*("Refine_Tacitly",Refine_Tacitly ["univariate","equation"])*)
|
agriesma@338
|
418 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
419 |
(*Model_Problem ["plain_square","univariate","equation"]*)
|
agriesma@338
|
420 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
421 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
422 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
423 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
424 |
(*val nxt = ("Specify_Domain",Specify_Domain "Test.thy")*)
|
agriesma@338
|
425 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
426 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
427 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
428 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
429 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
430 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
431 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
432 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
433 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
434 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
435 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
436 |
(*val nxt = ("Check_Postcond",Check_Postcond ["squareroot","univariate","equ*)
|
agriesma@338
|
437 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
438 |
val Form' (FormKF (~1,EdUndef,0,Nundef,res)) = f;
|
agriesma@338
|
439 |
if (snd nxt)=End_Proof' andalso res="[x = -3, x = 3]" then ()
|
agriesma@338
|
440 |
else raise error "new behaviour in test: root-eq + subpbl: no_met: square";
|
agriesma@338
|
441 |
|
agriesma@338
|
442 |
|
agriesma@338
|
443 |
|
agriesma@338
|
444 |
"---------------- no_met in rootpbl -> linear --------------";
|
agriesma@338
|
445 |
"---------------- no_met in rootpbl -> linear --------------";
|
agriesma@338
|
446 |
"---------------- no_met in rootpbl -> linear --------------";
|
agriesma@338
|
447 |
val fmz = ["equality (1+2*x+3=4*x- 6)",
|
agriesma@338
|
448 |
"solveFor x","solutions L"];
|
agriesma@338
|
449 |
val (dI',pI',mI') =
|
agriesma@338
|
450 |
("Test.thy",["univariate","equation","test"],
|
agriesma@338
|
451 |
("Test.thy","no_met"));
|
agriesma@338
|
452 |
val p = e_pos'; val c = [];
|
agriesma@338
|
453 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
agriesma@338
|
454 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;
|
agriesma@338
|
455 |
(*val nxt = ("Refine_Tacitly",Refine_Tacitly ["univariate","equation"])*)
|
agriesma@338
|
456 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
457 |
(*val nxt = ("Model_Problem",Model_Problem ["normalize","univariate","equati*)
|
agriesma@338
|
458 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
459 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
460 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
461 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
462 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
463 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
464 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
465 |
(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","norm_univar_equation"*)
|
agriesma@338
|
466 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
467 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
468 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
469 |
(*val nxt = ("Subproblem",Subproblem ("Test.thy",["univariate","equation"])*)
|
agriesma@338
|
470 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
471 |
(*val nxt = ("Refine_Tacitly",Refine_Tacitly ["univariate","equation"])*)
|
agriesma@338
|
472 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
473 |
(*val nxt = ("Model_Problem",Model_Problem ["linear","univariate","equation"]*)
|
agriesma@338
|
474 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
475 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
476 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
477 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
478 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
479 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
480 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
481 |
(*val nxt = ("Apply_Method",Apply_Method ("Test.thy","solve_linear"))*)
|
agriesma@338
|
482 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
483 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
484 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
485 |
(*val nxt = ("Check_Postcond",Check_Postcond ["linear","univariate","equatio*)
|
agriesma@338
|
486 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
|
agriesma@338
|
487 |
(*val nxt = ("Check_Postcond",Check_Postcond ["normalize","univariate","equa*)
|
agriesma@338
|
488 |
val (p,_,Form' (FormKF (_,_,_,_,f)),nxt,_,_) =
|
agriesma@338
|
489 |
me nxt p [1] pt;
|
agriesma@338
|
490 |
if f="[x = 5]" andalso nxt=("End_Proof'",End_Proof') then ()
|
agriesma@338
|
491 |
else raise error "new behaviour in test: no_met in rootpbl -> linear ---";
|
agriesma@338
|
492 |
|