neuper@37906
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(* tests on AlgEin, Algebra Einf"uhrung, , Unterrichtsversuch IMST-Projekt
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neuper@37906
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author: Walther Neuper 2007
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neuper@37906
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(c) due to copyright terms
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neuper@37906
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*)
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neuper@37906
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"-----------------------------------------------------------------";
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"table of contents -----------------------------------------------";
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"-----------------------------------------------------------------";
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neuper@37906
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"----------- build method 'Berechnung' 'erstSymbolisch' ----------";
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neuper@37906
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"----------- me 'Berechnung' 'erstNumerisch' ---------------------";
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neuper@37906
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"----------- auto 'Berechnung' 'erstSymbolisch' ------------------";
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neuper@37906
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"----------- Widerspruch 3 = 777 ---------------------------------";
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"-----------------------------------------------------------------";
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neuper@37906
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"-----------------------------------------------------------------";
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"-----------------------------------------------------------------";
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neuper@37906
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t@42166
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val thy = @{theory "AlgEin"};
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neuper@37906
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(* use"../smltest/IsacKnowledge/algein.sml";
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*)
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neuper@37906
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neuper@37906
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"----------- build method 'Berechnung' 'erstSymbolisch' ----------";
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neuper@37906
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"----------- build method 'Berechnung' 'erstSymbolisch' ----------";
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neuper@37906
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"----------- build method 'Berechnung' 'erstSymbolisch' ----------";
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neuper@37906
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val str =
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neuper@42385
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"Script RechnenSymbolScript (k_k::bool) (q__q::bool) \
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\(u_u::bool list) (s_s::bool list) (o_o::bool list) (l_l::real) =\
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neuper@42385
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\ (let t_t = (l_l = 1)\
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neuper@42385
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\ in t_t)"
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;
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val sc = ((inst_abs thy) o term_of o the o (parse thy)) str;
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atomty sc;
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atomt sc;
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neuper@37906
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"----------- me 'Berechnung' 'erstNumerisch' ---------------------";
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neuper@37906
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"----------- me 'Berechnung' 'erstNumerisch' ---------------------";
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"----------- me 'Berechnung' 'erstNumerisch' ---------------------";
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neuper@37906
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val fmz =
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["KantenLaenge (k=(10::real))","Querschnitt (q=(1::real))",
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"KantenUnten [b1 = k - 2*(q::real), b2 = k - 2*(q::real), b3 = k - 2*(q::real), b4 = k - 2*(q::real) ]",
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neuper@42385
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"KantenSenkrecht [v1 = (k::real), v2 = (k::real), v3 = (k::real), v4 = (k::real)]",
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"KantenOben [t1 = k - 2*(q::real), t2 = k - 2*(q::real), t3 = k - 2*(q::real), t4 = k - 2*(q::real) ]",
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"GesamtLaenge L"];
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neuper@37906
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val (dI',pI',mI') =
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neuper@37991
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("Isac",["numerischSymbolische", "Berechnung"],
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["Berechnung","erstNumerisch"]);
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neuper@37906
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val p = e_pos'; val c = [];
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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))](*nxt = ("Model_Pr*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenLaenge (k = 10)"*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "Querschnitt (q = 1)"*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenUnten [b1 = k - 2*q]"*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*..KantenUnten [b2 = k - 2 * q, b3=..b4*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenSenkrecht [v1 = k]"*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*..KantenSenkrecht [v2 = k, v3 = k, v4]*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenOben [b1 = k - 2 *q])*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*..KantenOben [b2 = k - 2 * q, b3 =, b4*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Find "GesamtLaenge L"*);
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neuper@37991
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Specify_Theory "AlgEin"*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Specify_Problem ["numerischSymbolis,Be*);
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Specify_Method ["Berechnung", "erstSym*);
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Apply_Method*);
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Substitute["Oben = boollist2sum [b1 =*);
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neuper@37906
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f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Substitute ["t1 = k - 2 * q", *);f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Substitute ["k = 10", "q = 1"]*);f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt(*Rewrite_Set "norm_Rational"*);f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt(**);
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if f2str f = "L = 32 + senkrecht + unten" then ()
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neuper@38031
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else error "algein.sml diff.behav. in erstSymbolisch 1";
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val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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if f2str f = "L = 104" andalso nxt = ("End_Proof'", End_Proof') then ()
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neuper@38031
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else error "algein.sml diff.behav. in erstSymbolisch 99";
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t@42166
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DEconstrCalcTree 1;
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"----------- auto 'Berechnung' 'erstSymbolisch' ------------------";
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neuper@37906
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"----------- auto 'Berechnung' 'erstSymbolisch' ------------------";
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"----------- auto 'Berechnung' 'erstSymbolisch' ------------------";
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neuper@37906
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CalcTree
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[(["KantenLaenge (k=(10::real))","Querschnitt (q=(1::real))",
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"KantenUnten [b1 = k - 2*(q::real), b2 = k - 2*(q::real), b3 = k - 2*(q::real), b4 = k - 2*(q::real) ]",
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neuper@42385
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"KantenSenkrecht [v1 = (k::real), v2 = (k::real), v3 = (k::real), v4 = (k::real)]",
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neuper@42385
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"KantenOben [t1 = k - 2*(q::real), t2 = k - 2*(q::real), t3 = k - 2*(q::real), t4 = k - 2*(q::real) ]",
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neuper@42385
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"GesamtLaenge L"],
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neuper@37991
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("Isac",["numerischSymbolische", "Berechnung"],
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["Berechnung","erstSymbolisch"]))];
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neuper@37906
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Iterator 1;
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moveActiveRoot 1;
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autoCalculate 1 CompleteCalc;
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val ((pt,p),_) = get_calc 1; show_pt pt;
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if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) = "L = 104" then()
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else error "algein.sml: 'Berechnung' 'erstSymbolisch' changed";
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"----------- Widerspruch 3 = 777 ---------------------------------";
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neuper@37906
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"----------- Widerspruch 3 = 777 ---------------------------------";
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neuper@37906
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"----------- Widerspruch 3 = 777 ---------------------------------";
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t@42166
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val thy = @{theory "Isac"};
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neuper@37906
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val rew_ord = dummy_ord;
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val erls = Erls;
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neuper@42385
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val thm = assoc_thm' thy ("sym_mult_zero_right","");
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val t = str2term "0 = (0::real)";
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neuper@37926
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val SOME (t',_) = rewrite_ thy rew_ord erls false thm t;
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term2str t' = "0 = ?a1 * 0"; (* = true*)
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neuper@37906
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(*testing code in ME/appl.sml*)
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val sube = ["?a1 = (3::real)"];
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val subte = sube2subte sube;
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terms2str' subte = "[?a1 = 3]"; (* = true*)
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val subst = sube2subst thy sube;
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foldl and_ (true, map contains_Var subte);
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val t'' = subst_atomic subst t';
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term2str t'' = "0 = 3 * 0"; (* = true*)
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val thm = assoc_thm' thy ("sym","");
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neuper@41977
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(*----- STOPPED.WN0x?: Widerspruch 3 = 777: sym contains "==>" instead of "=" !!!
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val SOME (t''',_) = rewrite_ thy rew_ord erls false thm t'';
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*)
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