test/Tools/isac/Knowledge/biegelinie-3.sml
author Walther Neuper <wneuper@ist.tugraz.at>
Tue, 27 Aug 2019 18:03:33 +0200
changeset 59597 c98fe08a7225
parent 59585 0bb418c3855a
child 59601 0cff71323cdd
permissions -rw-r--r--
assign Input_Descript to Specify/-phase
     1 (* "Knowledge/biegelinie-3.sml"
     2    author: Walther Neuper 190515
     3    (c) due to copyright terms
     4 *)
     5 "table of contents -----------------------------------------------";
     6 "-----------------------------------------------------------------";
     7 "----------- see biegelinie-1.sml---------------------------------";
     8 (* problems with generalised handling of meths which extend the model of a probl
     9    since 98298342fb6d: wait for review of whole model-specify phase *)
    10 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. me -----";
    11 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. auto ---";
    12 "-----------------------------------------------------------------";
    13 "-----------------------------------------------------------------";
    14 "-----------------------------------------------------------------";
    15 
    16 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. me -----";
    17 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. me -----";
    18 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. me -----";
    19 "----- Bsp 7.70 with me";
    20 val fmz = ["Traegerlaenge L","Streckenlast q_0","Biegelinie y",
    21 	     "Randbedingungen [y 0 = (0::real), y L = 0, M_b 0 = 0, M_b L = 0]",
    22 	     "FunktionsVariable x", "GleichungsVariablen [c, c_2, c_3, c_4]",
    23        "AbleitungBiegelinie dy"];
    24 val (dI',pI',mI') = ("Biegelinie", ["Biegelinien"],
    25 		     ["IntegrierenUndKonstanteBestimmen2"]);
    26 val p = e_pos'; val c = [];
    27 (*//----------------------------------vvv CalcTreeTEST ----------------------------------------\\*)
    28 (*[], Pbl*)val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))]; (*nxt = Model_Problem*)
    29 
    30 (*+*)val PblObj {probl, meth, spec = (thy, _ , metID), origin = (oris, _, _), ...} = get_obj I pt (fst p);
    31 (*+*)writeln (oris2str oris); (*[
    32 (1, ["1"], #Given,Traegerlaenge, ["L"]),
    33 (2, ["1"], #Given,Streckenlast, ["q_0"]),
    34 (3, ["1"], #Find,Biegelinie, ["y"]),
    35 (4, ["1"], #Relate,Randbedingungen, ["[y 0 = 0]","[y L = 0]","[M_b 0 = 0]","[M_b L = 0]"]),
    36 (5, ["1"], #undef,FunktionsVariable, ["x"]),
    37 (6, ["1"], #undef,GleichungsVariablen, ["[c]","[c_2]","[c_3]","[c_4]"]),
    38 (7, ["1"], #undef,AbleitungBiegelinie, ["dy"])]*)
    39 (*+*)itms2str_ @{context} probl = "[]";
    40 (*+*)itms2str_ @{context} meth = "[]";
    41 (*\\----------------------------------^^^ CalcTreeTEST ----------------------------------------//*)
    42 
    43 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "Traegerlaenge L"*)
    44 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "Streckenlast q_0"*)
    45 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Find "Biegelinie y"*)
    46 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Relation "Randbedingungen [y 0 = 0]", ERROR MISSING step: M_b 0 = 0*)
    47 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Relation "Randbedingungen [y L = 0, M_b 0 = 0, M_b L = 0]"*)
    48 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Theory "Biegelinie"*)
    49 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Problem ["Biegelinien"]*)
    50 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Method ["IntegrierenUndKonstanteBestimmen2"]*)
    51 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "FunktionsVariable x"*)
    52 (*----------- 10 -----------*)
    53 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "GleichungsVariablen [c, c_2, c_3, c_4]"*)
    54 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "AbleitungBiegelinie dy*)
    55 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Apply_Method ["IntegrierenUndKonstanteBestimmen2"*)
    56 
    57 (*//----------------------------------vvv Apply_Method ["IntegrierenUndKonstanteBestimmen2"----\\*)
    58 (*[1], Pbl*)val (p''''',_,f,nxt''''',_,pt''''') = me nxt p c pt; (*nxt = Model_Problem*)
    59 (*AMBIGUITY in creating the environment from formal args. of partial_function "Biegelinie.Biegelinie2Script"
    60 and the actual args., ie. items of the guard of "["IntegrierenUndKonstanteBestimmen2"]" by "assoc_by_type":
    61 formal arg. "b" type-matches with several...actual args. "["dy","y"]"
    62 selected "dy"
    63 with
    64 formals: ["l","q","v","b","s","vs","id_abl"]
    65 actuals: ["L","q_0","x","[c, c_2, c_3, c_4]","dy","y","[y 0 = 0, y L = 0, M_b 0 = 0, M_b L = 0]"]*)
    66 
    67 "~~~~~ fun me , args:"; val ((_, tac), p, _(*NEW remove*), pt) = (nxt, p, c, pt);
    68     val (pt''', p''') =
    69 	    (*locatetac is here for testing by me; step would suffice in me*)
    70 	    case locatetac tac (pt,p) of
    71 		    ("ok", (_, _, ptp)) => ptp
    72 ;
    73 (*+*)p    = ([], Met);
    74 (*+*)p''' = ([1], Pbl);
    75 (*+*)val PblObj {meth, probl, spec = (thy, _ , metID), origin = (oris, _, _), ...} = get_obj I pt''' (fst p''');
    76 (*+*)(*MISSING after locatetac:*)
    77 (*+*)writeln (oris2str oris); (*[
    78 (1, ["1"], #Given,Streckenlast, ["q_0"]),
    79 (2, ["1"], #Given,FunktionsVariable, ["x"]),
    80 (3, ["1"], #Find,Funktionen, ["funs'''"])]
    81 MISSING:
    82                  Biegelinie
    83                  AbleitungBiegelinie
    84 *)
    85 "~~~~~ fun locatetac , args:"; val (tac, (ptp as (pt, p))) = (tac, (pt,p));
    86       val (mI, m) = Solve.mk_tac'_ tac;
    87 val Appl m = (*case*) Applicable.applicable_in p pt m (*of*);
    88 (*if*) member op = Solve.specsteps mI = false; (*else*)
    89 
    90 loc_solve_ (mI,m) ptp;
    91 "~~~~~ fun loc_solve_ , args:"; val (m, (pt, pos)) = ((mI,m), ptp);
    92 
    93 Solve.solve m (pt, pos);
    94 "~~~~~ fun solve , args:"; val (("Apply_Method", m as Tactic.Apply_Method' (mI, _, _, ctxt)), (pt, (pos as (p, _)))) =
    95   (m, (pt, pos));
    96 val {srls, ...} = Specify.get_met mI;
    97       val itms = case get_obj I pt p of
    98         PblObj {meth=itms, ...} => itms
    99       | _ => error "solve Apply_Method: uncovered case get_obj"
   100       val thy' = get_obj g_domID pt p;
   101       val thy = Celem.assoc_thy thy';
   102       val (is, env, ctxt, sc) = case Lucin.init_pstate ctxt itms mI of
   103         (is as Istate.Pstate (env,_,_,_,_,_), ctxt, sc) =>  (is, env, ctxt, sc)
   104       | _ => error "solve Apply_Method: uncovered case init_pstate"
   105       val ini = Lucin.init_form thy sc env;
   106       val p = lev_dn p;
   107 val NONE = (*case*) ini (*of*);
   108             val (m', (is', ctxt'), _) = determine_next_tactic (thy', srls) (pt, (p, Res)) sc (is, ctxt);
   109 	          val d = Rule.e_rls (*FIXME: get simplifier from domID*);
   110      val Safe_Step ((pt', p'), _, _, _) = (*case*) locate_input_tactic sc (pt,(p, Res)) is' ctxt' m' (*of*);
   111 Safe_Step : state * Istate.T * Proof.context * Tactic.T -> input_tactic_result;
   112 
   113 (*+*)val PblObj {meth, probl, spec = (thy, _ , metID), origin = (oris, _, _), ...} = get_obj I pt' (fst p');
   114 (*+*)(*MISSING after locate_input_tactic:*)
   115 (*+*)writeln (oris2str oris); (*[
   116 (1, ["1"], #Given,Streckenlast, ["q_0"]),
   117 (2, ["1"], #Given,FunktionsVariable, ["x"]),
   118 (3, ["1"], #Find,Funktionen, ["funs'''"])]
   119 MISSING:
   120                  Biegelinie
   121                  AbleitungBiegelinie
   122 *)
   123 "~~~~~ fun locate_input_tactic , args:"; val ((thy', srls), m, (pt, p),
   124 	    (scr as Rule.Prog sc, d), (Istate.Pstate (E,l,a,v,S,b), ctxt)) =
   125   ((thy',srls), m', (pt,(p, Res)), (sc,d), (is', ctxt'));
   126 val thy = Celem.assoc_thy thy';
   127 (*if*) l = [] orelse (
   128 		  (*init.in solve..Apply_Method...*)(last_elem o fst) p = 0 andalso snd p = Res) = true;(*then*)
   129 (assy ((*thy',*)ctxt,srls,d,Aundef) ((E,[Celem.R],a,v,S,b), [(m,Generate.EmptyMout,pt,p,[])]) (body_of sc));
   130 
   131 "~~~~~ fun assy , args:"; val (ya, ((E,l,a,v,S,b),ss:step list), (Const ("HOL.Let",_) $ e $ (Abs (id,T,body)))) =
   132   (((*thy',*)ctxt,srls,d,Aundef), ((E,[Celem.R],a,v,S,b), [(m,Generate.EmptyMout,pt,p,[])]), (body_of sc));
   133 (*case*) assy ya ((E , l @ [Celem.L, Celem.R], a,v,S,b), ss) e (*of*);
   134 
   135 "~~~~~ fun assy , args:"; val (((*thy',*)ctxt,sr,d,ap), ((E,l,a,v,S,_), (m,_,pt,(p,p_),c)::ss), t) =
   136   (ya, ((E , l @ [Celem.L, Celem.R], a,v,S,b), ss), e);
   137 val (a', LTool.STac stac) = (*case*) handle_leaf "locate" thy' sr E a v t (*of*);
   138 (*+*)writeln (term2str stac); (*SubProblem
   139  (''Biegelinie'', [''vonBelastungZu'', ''Biegelinien''],
   140   [''Biegelinien'', ''ausBelastung''])
   141  [REAL q_0, REAL x, REAL_REAL y, REAL_REAL dy] *)
   142            val p' = 
   143              case p_ of Frm => p 
   144              | Res => lev_on p
   145 		         | _ => error ("assy: call by " ^ pos'2str (p,p_));
   146      val Ass (m,v', ctxt) = (*case*) associate pt ctxt (m, stac) (*of*);
   147 
   148 "~~~~~ fun associate , args:"; val (pt, _, (Tactic.Subproblem' ((domID, pblID, _), _, _, _, _, _)),
   149       (stac as Const ("Program.SubProblem", _) $ (Const ("Product_Type.Pair", _) $ 
   150         dI' $ (Const ("Product_Type.Pair", _) $ pI' $ mI')) $ ags')) =
   151   (pt, d, m, stac);
   152       val dI = HOLogic.dest_string dI';
   153       val thy = Stool.common_subthy (Celem.assoc_thy dI, rootthy pt);
   154 	    val pI = pI' |> HOLogic.dest_list |> map HOLogic.dest_string;
   155 	    val mI = mI' |> HOLogic.dest_list |> map HOLogic.dest_string;
   156 	    val ags = TermC.isalist2list ags';
   157 (*if*) mI = ["no_met"] = false; (*else*)
   158 (*    val (pI, pors, mI) = *)
   159 	      (pI, (Chead.match_ags thy ((#ppc o Specify.get_pbt) pI) ags)
   160 		      handle ERROR "actual args do not match formal args"
   161 		      => (Chead.match_ags_msg pI stac ags(*raise exn*); []), mI);
   162 "~~~~~ fun match_ags , args:"; val (thy, pbt, ags) = (thy, ((#ppc o Specify.get_pbt) pI), ags);
   163 (*+*)pbt;
   164     fun flattup (i, (var, bool, str, itm_)) = (i, var, bool, str, itm_)
   165     val pbt' = filter_out is_copy_named pbt
   166     val cy = filter is_copy_named pbt
   167     val oris' = matc thy pbt' ags []
   168     val cy' = map (cpy_nam pbt' oris') cy
   169     val ors = Specify.add_id (oris' @ cy') (*...appended in order to get into the model-items *)
   170 
   171 (*+*)val c = [];
   172 (*\\----------------------------------^^^ Apply_Method ["IntegrierenUndKonstanteBestimmen2"----//*)
   173 
   174 (*[1], Pbl*)val (p,_,f,nxt,_,pt) = me nxt''''' p''''' c pt'''''; (*nxt = Add_Given "Streckenlast q_0"*)
   175 (*[1], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "FunktionsVariable x"*)
   176 (*[1], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Find "Funktionen funs'''"*)
   177 (*[1], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Theory "Biegelinie"*)
   178 (*[1], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Problem ["vonBelastungZu", "Biegelinien"]*)
   179 (*[1], Pbl*)val (p''''',_,f,nxt''''',_,pt''''') = me nxt p c pt; (*nxt = Specify_Method ["Biegelinien", "ausBelastung"]*)
   180 (*----------- 20 -----------*)
   181 (*//------------------------------------------------vvv Specify_Method ["Biegelinien", "ausBelastung"]-\\*)
   182 (*[1], Pbl*)(*ERROR val (p,_,f,nxt,_,pt) = me nxt''''' p''''' c pt'''''; (*nxt = Apply_Method ["Biegelinien", "ausBelastung"]*)
   183 ERROR itms2args: 'Biegelinie' not in itms*)
   184 
   185 (*SubProblem (_, [''vonBelastungZu'', ''Biegelinien''], _)
   186     [REAL q, REAL v, REAL_REAL b, REAL_REAL id_abl]
   187                      ^^^^^^^^^^^ ..ERROR itms2args: 'Biegelinie' not in itms*)
   188 (*+*)val PblObj {meth, probl, spec = (thy, _ , metID), origin = (oris, _, _), ...} = get_obj I pt''''' (fst p''''');
   189 (*+*)if oris2str oris =
   190 (*+*)  "[\n(1, [\"1\"], #Given,Streckenlast, [\"q_0\"]),\n(2, [\"1\"], #Given,FunktionsVariable, [\"x\"]),\n(3, [\"1\"], #Find,Funktionen, [\"funs'''\"])]"
   191 (*+*)then () else error "([1], Pbl) Specify_Problem ['vonBelastungZu', 'Biegelinien'] changed oris";
   192 writeln (oris2str oris); (*[
   193 (1, ["1"], #Given,Streckenlast, ["q_0"]),
   194 (2, ["1"], #Given,FunktionsVariable, ["x"]),
   195 (3, ["1"], #Find,Funktionen, ["funs'''"])]*)
   196 (*+*)if itms2str_ @{context} probl = "[\n(1 ,[1] ,true ,#Given ,Cor Streckenlast q_0 ,(q_q, [q_0])),\n(2 ,[1] ,true ,#Given ,Cor FunktionsVariable x ,(v_v, [x])),\n(3 ,[1] ,true ,#Find ,Cor Funktionen funs''' ,(funs''', [funs''']))]"
   197 (*+*)then () else error "([1], Pbl) Specify_Problem ['vonBelastungZu', 'Biegelinien'] changed probl";
   198 writeln (itms2str_ @{context} probl); (*[
   199 (1 ,[1] ,true ,#Given ,Cor Streckenlast q_0 ,(q_q, [q_0])),
   200 (2 ,[1] ,true ,#Given ,Cor FunktionsVariable x ,(v_v, [x])),
   201 (3 ,[1] ,true ,#Find ,Cor Funktionen funs''' ,(funs''', [funs''']))]*)
   202 (*+*)if itms2str_ @{context} meth = "[]"
   203 (*+*)then () else error "([1], Pbl) Specify_Problem ['vonBelastungZu', 'Biegelinien'] changed meth";
   204 writeln (itms2str_ @{context} meth); (*[]*)
   205 
   206 "~~~~~ fun me , args:"; val ((_, tac), p, _(*NEW remove*), pt) = (nxt''''', p''''', c, pt''''');
   207 (*  val (pt, p) = *)
   208 	    (*locatetac is here for testing by me; step would suffice in me*)
   209 	    case locatetac tac (pt,p) of
   210 		    ("ok", (_, _, ptp)) => ptp
   211 ;
   212 "~~~~~ fun locatetac , args:"; val (tac, (ptp as (pt, p))) = (tac, (pt,p));
   213       val (mI, m) = Solve.mk_tac'_ tac;
   214 val Chead.Appl m = (*case*) Applicable.applicable_in p pt m (*of*);
   215 (*if*) member op = Solve.specsteps mI = true; (*then*)
   216 
   217 (*val Updated (_, _, (ctree, pos')) =*) loc_specify_ m ptp; (*creates meth-itms*)
   218 "~~~~~ fun loc_specify_ , args:"; val (m, (pt, pos)) = (m, ptp);
   219 (*    val (p, _, f, _, _, pt) =*) Chead.specify m pos [] pt;
   220 
   221 "~~~~~ fun specify , args:"; val ((Tactic.Specify_Method' (mID, _, _)), (pos as (p, _)), _, pt) = (m, pos, [], pt);
   222         val (oris, dI', pI', mI', dI, pI, pbl, met, ctxt) = case get_obj I pt p of
   223           PblObj {origin= (oris, (dI', pI', mI'), _), spec= (dI, pI, _), probl = pbl, meth = met, ctxt, ...} =>
   224              (oris, dI', pI', mI', dI, pI, pbl, met, ctxt)
   225         val {ppc, pre, prls,...} = Specify.get_met mID
   226         val thy = Celem.assoc_thy dI
   227         val dI'' = if dI = Rule.e_domID then dI' else dI
   228         val pI'' = if pI = Celem.e_pblID then pI' else pI
   229 ;
   230 (*+*)writeln (oris2str oris); (*[
   231 (1, ["1"], #Given,Streckenlast, ["q_0"]),
   232 (2, ["1"], #Given,FunktionsVariable, ["x"]),
   233 (3, ["1"], #Find,Funktionen, ["funs'''"])]*)
   234 (*+*)writeln (pats2str' ppc);
   235 (*["(#Given, (Streckenlast, q__q))
   236 ","(#Given, (FunktionsVariable, v_v))
   237 ","(#Given, (Biegelinie, id_fun))
   238 ","(#Given, (AbleitungBiegelinie, id_abl))
   239 ","(#Find, (Funktionen, fun_s))"]*)
   240 (*+*)writeln (pats2str' ((#ppc o Specify.get_pbt) pI));
   241 (*["(#Given, (Streckenlast, q_q))
   242 ","(#Given, (FunktionsVariable, v_v))
   243 ","(#Find, (Funktionen, funs'''))"]*)
   244         val oris = Specify.add_field' thy ppc oris
   245         val met = if met = [] then pbl else met
   246         val (_, (itms, pre')) = Specify.match_itms_oris thy met (ppc, pre, prls ) oris
   247 ;
   248 (*+*)writeln (itms2str_ @{context} itms); (*[
   249 (1 ,[1] ,true ,#Given ,Cor Streckenlast q_0 ,(q_q, [q_0])),
   250 (2 ,[1] ,true ,#Given ,Cor FunktionsVariable x ,(v_v, [x])),
   251 (3 ,[1] ,true ,#Find ,Cor Funktionen funs''' ,(funs''', [funs''']))] *)
   252 
   253 (*//----------- hack for funpack: generalise handling of meths which extend problem items -----\\*)
   254 val itms =
   255   if mI' = ["Biegelinien", "ausBelastung"]
   256   then itms @
   257     [(4, [1], true, "#Given", Cor ((Const ("Biegelinie.Biegelinie", Type ("fun", [Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]), Type ("Input_Descript.una", [])])),
   258         [Free ("y", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))]),
   259       (Free ("id_fun", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])])),
   260         [Free ("y", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))] ))),
   261     (5, [1], true, "#Given", Cor ((Const ("Biegelinie.AbleitungBiegelinie", Type ("fun", [Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]), Type ("Input_Descript.una", [])])),
   262         [Free ("dy", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))]),
   263       (Free ("id_abl", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])])),
   264         [Free ("dy", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))] )))]
   265   else itms
   266 (*\\----------- hack for funpack: generalise handling of meths which extend problem items -----//*)
   267 
   268 val itms' = itms @
   269   [(4, [1], true, "#Given", Cor ((@{term "Biegelinie"},
   270       [@{term "y::real \<Rightarrow> real"}]),
   271     (@{term "id_fun::real \<Rightarrow> real"},
   272       [@{term "y::real \<Rightarrow> real"}] ))),
   273   (5, [1], true, "#Given", Cor ((@{term "AbleitungBiegelinie"},
   274       [@{term "dy::real \<Rightarrow> real"}]),
   275     (@{term "id_abl::real \<Rightarrow> real"},
   276       [@{term "dy::real \<Rightarrow> real"}] )))]
   277 val itms'' = itms @
   278   [(4, [1], true, "#Given", Cor ((Const ("Biegelinie.Biegelinie", Type ("fun", [Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]), Type ("Input_Descript.una", [])])),
   279       [Free ("y", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))]),
   280     (Free ("id_fun", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])])),
   281       [Free ("y", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))] ))),
   282   (5, [1], true, "#Given", Cor ((Const ("Biegelinie.AbleitungBiegelinie", Type ("fun", [Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]), Type ("Input_Descript.una", [])])),
   283       [Free ("dy", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))]),
   284     (Free ("id_abl", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])])),
   285       [Free ("dy", Type ("fun", [Type ("Real.real", []), Type ("Real.real", [])]))] )))]
   286 ;
   287 if itms' = itms'' then () else error "itms BUIT BY HAND ARE BROKEN";
   288 (*//-----------------------------------------^^^ Specify_Method ["Biegelinien", "ausBelastung"]-\\*)
   289 
   290 val (p,_,f,nxt,_,pt) = me nxt''''' p''''' c pt''''';
   291 val (p,_,f,nxt,_,pt) = me nxt p c pt;
   292 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   293 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   294 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   295 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   296 (*----------- 30 -----------*)
   297 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   298 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   299 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   300 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   301 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   302 (*----------- 40 -----------*)
   303 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   304 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   305 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   306 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   307 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   308 (*----------- 50 -----------*)
   309 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   310 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   311 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   312 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   313 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   314 (*----------- 60 -----------*)
   315 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   316 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   317 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   318 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   319 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   320 (*----------- 70 -----------*)
   321 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   322 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   323 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   324 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   325 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   326 (*----------- 80 -----------*)
   327 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   328 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   329 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   330 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   331 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   332 (*----------- 90 -----------*)
   333 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   334 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   335 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   336 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   337 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   338 (*---------- 100 -----------*)
   339 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   340 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   341 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   342 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   343 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   344 (*---------- 110 -----------*)
   345 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   346 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   347 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   348 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   349 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   350 (*---------- 120 -----------*)
   351 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   352 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   353 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   354 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   355 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   356 (*---------- 130 -----------*)
   357 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   358 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   359 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   360 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   361 val (p,_,f,nxt,_,pt) = me nxt p c pt;val (p,_,f,nxt,_,pt) = me nxt p c pt;
   362 
   363 if p = ([3], Pbl)
   364 then
   365   case nxt of
   366     ("Add_Given", Add_Given "solveForVars [c_2, c_3, c_4]") => 
   367     (case f of
   368       PpcKF
   369           (Problem [],
   370            {Find = [Incompl "solution []"], Given =
   371             [Correct
   372               "equalities\n [0 = -1 * c_4 / -1,\n  0 =\n  (-24 * c_4 * EI + -24 * L * c_3 * EI + 12 * L ^^^ 2 * c_2 +\n   4 * L ^^^ 3 * c +\n   -1 * L ^^^ 4 * q_0) /\n  (-24 * EI),\n  0 = c_2, 0 = (2 * c_2 + 2 * L * c + -1 * L ^^^ 2 * q_0) / 2]",
   373              Incompl "solveForVars [c]"],
   374             Relate = [], Where = [], With = []}) => ()
   375     | _ => error "Bsp.7.70 me changed 1")
   376   | _ => error "Bsp.7.70 me changed 2"
   377 else error "Bsp.7.70 me changed 3";
   378 (* NOTE: ^^^^^^^^^^^^^^^^^ no progress already in isabisac15, but not noticed ^^^^^^^^^^^^^^^^^ *)
   379 
   380 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. auto ---";
   381 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. auto ---";
   382 "----------- IntegrierenUndKonstanteBestimmen2: Bsp.7.70. auto ---";
   383 (* the error in this test might be independent from introduction of y, dy
   384    as arguments in IntegrierenUndKonstanteBestimmen2,
   385    rather due to so far untested use of "auto" *)
   386 val fmz = ["Traegerlaenge L","Streckenlast q_0","Biegelinie y",
   387 	     "Randbedingungen [y 0 = (0::real), y L = 0, M_b 0 = 0, M_b L = 0]",
   388 	     "FunktionsVariable x", "GleichungsVariablen [c, c_2, c_3, c_4]",
   389        "AbleitungBiegelinie dy"];
   390 val (dI',pI',mI') = ("Biegelinie", ["Biegelinien"],
   391 		     ["IntegrierenUndKonstanteBestimmen2"]);
   392 
   393 reset_states ();
   394 CalcTree [(fmz, (dI',pI',mI'))];
   395 Iterator 1;
   396 moveActiveRoot 1;
   397 
   398 (*[], Met*)autoCalculate 1 CompleteCalcHead;
   399 (*[1], Pbl*)autoCalculate 1 (Step 1); (* into SubProblem *)
   400 (*[1], Res*)autoCalculate 1 CompleteSubpbl; (**)
   401 (*[2], Pbl*)autoCalculate 1 (Step 1); (* out of SubProblem *)
   402 (*[2], Res*)autoCalculate 1 CompleteSubpbl;
   403 (*[3], Pbl*)autoCalculate 1 (Step 1); (* out of SubProblem *)
   404 (*[3], Met*)autoCalculate 1 CompleteCalcHead;
   405 (*[3, 1], Frm*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   406 (*(**)autoCalculate 1 CompleteSubpbl;  error in kernel 4: generate1: not impl.for Empty_Tac_*)
   407 (*[3, 1], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   408 (*[3, 2], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   409 (*[3, 3], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   410 (*[3, 4], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   411 (*[3, 5], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   412 (*[3, 6], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   413 (*[3, 7], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   414 (*[3, 8], Pbl*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   415 (*[3, 8], Met*)autoCalculate 1 CompleteCalcHead;
   416 (*[3, 8, 1], Frm*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   417 (*[3, 8, 1], Res*)autoCalculate 1 (Step 1); (* solve SubProblem *)
   418 (*(**)autoCalculate 1 (Step 1); 
   419 *** generate1: not impl.for Empty_Tac_ 
   420 val it = <AUTOCALC><CALCID>1</CALCID><CALCMESSAGE>helpless</CALCMESSAGE></AUTOCALC>: XML.tree *)
   421 
   422 val ((pt,_),_) = get_calc 1;
   423 val ip = get_pos 1 1;
   424 val (Form f, tac, asms) = pt_extract (pt, ip);
   425 
   426 if ip = ([3, 8, 1], Res) andalso 
   427 term2str f = "[-1 * c_4 / -1 = 0,\n (6 * c_4 * EI + 6 * L * c_3 * EI + -3 * L ^^^ 2 * c_2 + -1 * L ^^^ 3 * c) /\n (6 * EI) =\n L ^^^ 4 * q_0 / (-24 * EI),\n c_2 = 0, c_2 + L * c = L ^^^ 2 * q_0 / 2]"
   428 then 
   429   case tac of
   430     SOME (Check_Postcond ["normalise", "4x4", "LINEAR", "system"]) => ()
   431   | _ => error "ERROR biegel.7.70 changed 1"
   432 else error "ERROR biegel.7.70 changed 2";
   433 (* NOTE: ^^^^^^^^^^^^^^^^^ no progress already in isabisac15, but not noticed ^^^^^^^^^^^^^^^^^ *)