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test/Tools/isac/Knowledge/algein.sml
author Walther Neuper <walther.neuper@jku.at>
Wed, 15 Apr 2020 10:07:43 +0200
changeset 59876 eff0b9fc6caa
parent 59874 820bf0840029
child 59911 ff30cec13f4f
permissions -rw-r--r--
use "ThmC" for renaming identifiers 
     1 (* tests on AlgEin, Algebra Einf"uhrung, , Unterrichtsversuch IMST-Projekt

     2    author: Walther Neuper 2007

     3    (c) due to copyright terms

     4 *)

     5 

     6 "-----------------------------------------------------------------";

     7 "table of contents -----------------------------------------------";

     8 "-----------------------------------------------------------------";

     9 "----------- build method 'Berechnung' 'erstSymbolisch' ----------";

    10 "----------- me 'Berechnung' 'erstNumerisch' ---------------------";

    11 "----------- auto 'Berechnung' 'erstSymbolisch' ------------------";

    12 "----------- Widerspruch 3 = 777 ---------------------------------";

    13 "-----------------------------------------------------------------";

    14 "-----------------------------------------------------------------";

    15 "-----------------------------------------------------------------";

    16 

    17 val thy = @{theory "AlgEin"};

    18 

    19 

    20 (* use"../smltest/IsacKnowledge/algein.sml";

    21    *)

    22 

    23 "----------- build method 'Berechnung' 'erstSymbolisch' ----------";

    24 "----------- build method 'Berechnung' 'erstSymbolisch' ----------";

    25 "----------- build method 'Berechnung' 'erstSymbolisch' ----------";

    26 val str =

    27 "Program RechnenSymbolScript (k_k::bool) (q__q::bool) \

    28 \(u_u::bool list) (s_s::bool list) (o_o::bool list) (l_l::real) =\

    29 \ (let t_t = (l_l = 1)\

    30 \ in t_t)"

    31 ;

    32 val sc = (inst_abs o Thm.term_of o the o (parse thy)) str;

    33 atomty sc;

    34 atomt sc;

    35 

    36 "----------- me 'Berechnung' 'erstNumerisch' ---------------------";

    37 "----------- me 'Berechnung' 'erstNumerisch' ---------------------";

    38 "----------- me 'Berechnung' 'erstNumerisch' ---------------------";

    39 val fmz = 

    40     ["KantenLaenge (k=(10::real))","Querschnitt (q=(1::real))",

    41      "KantenUnten [b1 = k - 2*(q::real), b2 = k - 2*(q::real), b3 = k - 2*(q::real), b4 = k - 2*(q::real) ]", 

    42      "KantenSenkrecht [v1 = (k::real), v2 = (k::real), v3 = (k::real), v4 = (k::real)]", 

    43      "KantenOben  [t1 = k - 2*(q::real), t2 = k - 2*(q::real), t3 = k - 2*(q::real), t4 = k - 2*(q::real) ]",

    44      "GesamtLaenge L"];

    45 val (dI',pI',mI') =

    46   ("Isac_Knowledge",["numerischSymbolische", "Berechnung"],

    47    ["Berechnung","erstNumerisch"]);

    48 val p = e_pos'; val c = [];

    49 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))](*nxt = ("Model_Pr*);

    50 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenLaenge (k = 10)"*);

    51 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "Querschnitt (q = 1)"*);

    52 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenUnten [b1 = k - 2*q]"*);

    53 val (p,_,f,nxt,_,pt) = me nxt p c pt(*..KantenUnten [b2 = k - 2 * q, b3=..b4*);

    54 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenSenkrecht [v1 = k]"*);

    55 val (p,_,f,nxt,_,pt) = me nxt p c pt(*..KantenSenkrecht [v2 = k, v3 = k, v4]*);

    56 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Given "KantenOben [b1 = k - 2 *q])*);

    57 val (p,_,f,nxt,_,pt) = me nxt p c pt(*..KantenOben [b2 = k - 2 * q, b3 =, b4*);

    58 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Add_Find "GesamtLaenge L"*);

    59 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Specify_Theory "AlgEin"*);

    60 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Specify_Problem ["numerischSymbolis,Be*);

    61 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Specify_Method ["Berechnung", "erstSym*);

    62 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Apply_Method*);

    63 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Substitute["Oben = boollist2sum [b1 =*);

    64 f2str f;

    65 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Substitute ["t1 = k - 2 * q", *);f2str f;

    66 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Substitute ["k = 10", "q = 1"]*);f2str f;

    67 val (p,_,f,nxt,_,pt) = me nxt p c pt(*Rewrite_Set "norm_Rational"*);f2str f;

    68 val (p,_,f,nxt,_,pt) = me nxt p c pt(**);

    69 if f2str f = "L = 32 + senkrecht + unten" then ()

    70 else error "algein.sml diff.behav. in erstNumerisch 1";

    71 val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;

    72 val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;

    73 val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;

    74 val (p,_,f,nxt,_,pt) = me nxt p c pt;val(p,_,f,nxt,_,pt)=me nxt p c pt;f2str f;

    75 val (p,_,f,nxt,_,pt) = me nxt p c pt;

    76 if f2str f = "L = 104"

    77 then case nxt of End_Proof' => ()

    78   | _ => error "algein.sml diff.behav. in erstNumerisch 99 1"

    79 else error "algein.sml diff.behav. in erstNumerisch 99 2";

    80 DEconstrCalcTree 1;

    81 

    82 "----------- auto 'Berechnung' 'erstSymbolisch' ------------------";

    83 "----------- auto 'Berechnung' 'erstSymbolisch' ------------------";

    84 "----------- auto 'Berechnung' 'erstSymbolisch' ------------------";

    85 CalcTree

    86 [(["KantenLaenge (k=(10::real))","Querschnitt (q=(1::real))",

    87      "KantenUnten [b1 = k - 2*(q::real), b2 = k - 2*(q::real), b3 = k - 2*(q::real), b4 = k - 2*(q::real) ]", 

    88      "KantenSenkrecht [v1 = (k::real), v2 = (k::real), v3 = (k::real), v4 = (k::real)]", 

    89      "KantenOben  [t1 = k - 2*(q::real), t2 = k - 2*(q::real), t3 = k - 2*(q::real), t4 = k - 2*(q::real) ]",

    90      "GesamtLaenge L"], 

    91   ("Isac_Knowledge",["numerischSymbolische", "Berechnung"],

    92    ["Berechnung","erstSymbolisch"]))];

    93 Iterator 1;

    94 moveActiveRoot 1;

    95 autoCalculate 1 CompleteCalc;

    96 val ((pt,p),_) = get_calc 1; show_pt pt;

    97 if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "L = 104" then()

    98 else error "algein.sml: 'Berechnung' 'erstSymbolisch' changed";

    99 

   100 "----------- Widerspruch 3 = 777 ---------------------------------";

   101 "----------- Widerspruch 3 = 777 ---------------------------------";

   102 "----------- Widerspruch 3 = 777 ---------------------------------";

   103 val thy = @{theory "Isac_Knowledge"}; 

   104 val rew_ord = dummy_ord;

   105 val erls = Rule_Set.Empty;

   106 val thm = ThmC.thm_from_thy thy "sym_mult_zero_right";

   107 val t = str2term "0 = (0::real)";

   108 val SOME (t',_) = rewrite_ thy rew_ord erls false thm t;

   109 UnparseC.term t' = "0 = ?a1 * 0"; (* = true*)

   110 

   111 (*testing code in ME/appl.sml*)

   112 val sube = ["?a1 = (3::real)"];

   113 val subte = sube2subte sube;

   114 UnparseC.terms_short subte = "[?a1 = 3]"; (* = true*)

   115 val subst = sube2subst thy sube;

   116 foldl and_ (true, map contains_Var subte);

   117 

   118 val t'' = subst_atomic subst t';

   119 UnparseC.term t'' = "0 = 3 * 0"; (* = true*)

   120 

   121 val thm = ThmC.thm_from_thy thy "sym";

   122 (*----- STOPPED.WN0x?: Widerspruch 3 = 777: sym contains "==>" instead of "=" !!!

   123 val SOME (t''',_) = rewrite_ thy rew_ord erls false thm t'';

   124 *)

   125
wneuper/isa