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neuper@37906
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(* RL 09.02
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neuper@37906
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testexamples for RatEq, equations with fractions
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neuper@37906
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neuper@37906
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Compiler.Control.Print.printDepth:=10; (*4 default*)
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neuper@37906
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Compiler.Control.Print.printDepth:=5; (*4 default*)
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neuper@37906
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trace_rewrite:=true;
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neuper@37906
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neuper@37906
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use"kbtest/rateq.sml";
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neuper@37906
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*)
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neuper@37906
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"----------- rateq.sml begin--------";
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neuper@37906
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"---------(1/x=5) ---------------------";
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neuper@37906
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"--------- S.68, Bsp.: 40, ((x)/(x - 8) + (x - 8)/(x) = 26/5)---------------------";
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neuper@37906
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13 |
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neuper@37906
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val t = (term_of o the o (parse RatEq.thy)) "(1/b+1/x=1) is_ratequation_in x";
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neuper@37926
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val SOME(t_, _) = rewrite_set_ RatEq.thy false RatEq_prls t;
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neuper@37906
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val result = term2str t_;
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neuper@38031
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if result <> "True" then error "rateq.sml: new behaviour 1:" else ();
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neuper@37906
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18 |
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neuper@37906
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val t = (term_of o the o (parse RatEq.thy)) "(sqrt(x)=1) is_ratequation_in x";
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neuper@37926
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val SOME(t_, _) = rewrite_set_ RatEq.thy false RatEq_prls t;
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neuper@37906
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val result = term2str t_;
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neuper@38031
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if result <> "False" then error "rateq.sml: new behaviour 2:" else ();
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neuper@37906
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23 |
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neuper@37906
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val t = (term_of o the o (parse RatEq.thy)) "(x=-1) is_ratequation_in x";
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neuper@37926
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val SOME(t_,_) = rewrite_set_ RatEq.thy false RatEq_prls t;
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neuper@37906
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val result = term2str t_;
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neuper@38031
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if result <> "False" then error "rateq.sml: new behaviour 3:" else ();
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neuper@37906
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28 |
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neuper@37906
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val t = (term_of o the o (parse RatEq.thy)) "(3 + x^^^2 + 1/(x^^^2+3)=1) is_ratequation_in x";
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neuper@37926
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val SOME(t_,_) = rewrite_set_ RatEq.thy false RatEq_prls t;
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neuper@37906
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val result = term2str t_;
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neuper@38031
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if result <> "True" then error "rateq.sml: new behaviour 4:" else ();
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neuper@37906
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33 |
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neuper@37906
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val result = match_pbl ["equality (x=1)","solveFor x","solutions L"]
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neuper@37906
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(get_pbt ["rational","univariate","equation"]);
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neuper@38031
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case result of NoMatch' _ => () | _ => error "rateq.sml: new behaviour: 5";
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neuper@37906
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neuper@37906
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val result = match_pbl ["equality (3 + x^^^2 + 1/(x^^^2+3)=1)","solveFor x","solutions L"]
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neuper@37906
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(get_pbt ["rational","univariate","equation"]);
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neuper@38031
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case result of Matches' _ => () | _ => error "rateq.sml: new behaviour: 6";
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neuper@37906
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neuper@37906
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neuper@37906
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(*---------rateq---- 23.8.02 ---------------------*)
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neuper@37906
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"---------(1/x=5) ---------------------";
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neuper@37906
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val fmz = ["equality (1/x=5)","solveFor x","solutions L"];
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neuper@37906
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(* refine fmz ["univariate","equation"];
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neuper@37906
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*)
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neuper@37906
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neuper@37991
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val (dI',pI',mI') = ("RatEq",["univariate","equation"],["no_met"]);
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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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--------------------------------------- Refine_Tacitly*)
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neuper@37906
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(* nxt = ("Model_Problem",Model_Problem ["rational","univariate","equation"]) *)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;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;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;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;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@37991
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(* val nxt = ("Subproblem",Subproblem ("RatEq",["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 (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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--------------------------------------- Refine_Tacitly*)
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neuper@37906
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(*val nxt = ("Model_Problem", Model_Problem ["normalize","polynomial","univariate","equation"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;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;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;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 = Apply_Method ["PolyEq", "normalize_poly"])*)
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neuper@37906
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neuper@37906
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(* get_obj g_fmz pt [2];
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neuper@37906
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*)
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neuper@37906
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(**** assoc_thm': 'all_left' not in 'RatEq.thy' (and parents)*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37991
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(* val nxt = ("Subproblem", Subproblem ("PolyEq",["polynomial","univariate","equation"]))*)
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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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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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(* ("Model_Problem", Model_Problem ["degree_1","polynomial","univariate","equation"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;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;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;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;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;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;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;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(* "x = 1 / 5" *)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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if mout2str(f) = "Form' FormKF (~1,EdUndef,0,Nundef,([x = 1 / 5])" then ()
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neuper@38031
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else error "rateq.sml: new behaviour: [x = 1 / 5]";
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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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(*---------((x)/(x - 8) + (x - 8)/(x) = 26/5)---------------------*)
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neuper@37906
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"--------- S.68, Bsp.: 40, ((x)/(x - 8) + (x - 8)/(x) = 26/5)---------------------";
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neuper@37906
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(*EP Schalk_II_p68_n40*)
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neuper@37906
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val fmz = ["equality ((x)/(x - 8) + (x - 8)/(x) = 26/5)","solveFor x","solutions L"];
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neuper@37906
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(* val fmz = ["equality (3+x= 9*x^^^4+((1+2*x)/x^^^2)^^^2 + 6*(x^^^2*((1+2*x)/x^^^2)))",
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neuper@37906
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"solveFor x","solutions L"];*)
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neuper@37906
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neuper@37906
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(* refine fmz ["univariate","equation"];
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neuper@37906
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*)
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neuper@37906
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neuper@37991
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val (dI',pI',mI') = ("RatEq",["univariate","equation"],["no_met"]);
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neuper@37906
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(*val p = e_pos';
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neuper@37906
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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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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(* nxt = ("Model_Problem",Model_Problem ["rational","univariate","equation"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;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;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;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;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;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;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37991
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(* nxt = ("Subproblem",Subproblem ("RatEq",["univariate","equation"]))*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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(* nxt = ("Model_Problem", Model_Problem ["normalize","polynomial","univariate","equation"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;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;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;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;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;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@37991
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(* ("Subproblem", Subproblem ("PolyEq",["polynomial","univariate","equation"])) *)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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132 |
(* nxt = ("Model_Problem", Model_Problem
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neuper@37906
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["abcFormula","degree_2","polynomial","univariate","equation"])*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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135 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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136 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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137 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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138 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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139 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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140 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
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141 |
(* "x = -2, x = 10" *)
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neuper@37906
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142 |
if mout2str(f) = "Form' FormKF (~1,EdUndef,0,Nundef,([x = -2, x = 10])" then()
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neuper@38031
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143 |
else error "rateq.sml: new behaviour: [x = -2, x = 10]";
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neuper@37906
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144 |
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neuper@37906
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145 |
"----------- rateq.sml end--------";
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