test/Tools/isac/Interpret/script.sml
author Walther Neuper <walther.neuper@jku.at>
Tue, 26 Nov 2019 17:37:17 +0100
changeset 59721 755a780805f1
parent 59718 bc4b000caa39
child 59722 b73e64a8a329
permissions -rw-r--r--
lucin: improve readability
     1 (* Title:  test/../script.sml
     2    Author: Walther Neuper 050908
     3    (c) copyright due to lincense terms.
     4 *)
     5 "-----------------------------------------------------------------";
     6 "table of contents -----------------------------------------------";
     7 "-----------------------------------------------------------------";
     8 "----------- fun sel_appl_atomic_tacs ----------------------------";
     9 "----------- fun init_form, fun get_stac -------------------------";
    10 "----------- fun sel_rules ---------------------------------------";
    11 "----------- fun sel_appl_atomic_tacs ----------------------------";
    12 "----------- fun de_esc_underscore -------------------------------";
    13 "----------- fun go ----------------------------------------------";
    14 "----------- fun formal_args -------------------------------------";
    15 "----------- fun dsc_valT ----------------------------------------";
    16 "----------- fun itms2args ---------------------------------------";
    17 "----------- fun rep_tac_ ----------------------------------------";
    18 "----------- fun init_pstate -----------------------------------------------------------------";
    19 "-----------------------------------------------------------------";
    20 "-----------------------------------------------------------------";
    21 "-----------------------------------------------------------------";
    22 
    23 val thy =  @{theory Isac_Knowledge};
    24 
    25 "----------- fun sel_appl_atomic_tacs ----------------------------";
    26 "----------- fun sel_appl_atomic_tacs ----------------------------";
    27 "----------- fun sel_appl_atomic_tacs ----------------------------";
    28 
    29 reset_states ();
    30 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
    31   ("Test", ["sqroot-test","univariate","equation","test"],
    32    ["Test","squ-equ-test-subpbl1"]))];
    33 Iterator 1;
    34 moveActiveRoot 1;
    35 autoCalculate 1 CompleteCalcHead;
    36 autoCalculate 1 (Step 1);
    37 autoCalculate 1 (Step 1);
    38 val ((pt, p), _) = get_calc 1; show_pt pt;
    39 val appltacs = sel_appl_atomic_tacs pt p;
    40 case appltacs of 
    41   [Rewrite ("radd_commute", radd_commute), 
    42   Rewrite ("add_assoc", add_assoc), Calculate "TIMES"]
    43   => if (term2str o Thm.prop_of) radd_commute = "?m + ?n = ?n + ?m" andalso 
    44         (term2str o Thm.prop_of) add_assoc = "?a + ?b + ?c = ?a + (?b + ?c)" then ()
    45         else error "script.sml fun sel_appl_atomic_tacs diff.behav. 2"
    46 | _ => error "script.sml fun sel_appl_atomic_tacs diff.behav. 1";
    47 
    48 trace_script := true;
    49 trace_script := false;
    50 applyTactic 1 p (hd appltacs);
    51 val ((pt, p), _) = get_calc 1; show_pt pt;
    52 val appltacs = sel_appl_atomic_tacs pt p;
    53 (*applyTactic 1 p (hd appltacs); WAS scan_dn1: call by ([3], Pbl)*)
    54 
    55 "~~~~~ fun applyTactic, args:"; val ((cI:calcID), ip, tac) = (1, p, (hd appltacs));
    56 val ((pt, _), _) = get_calc cI;
    57 val p = get_pos cI 1;
    58 locatetac;
    59 locatetac tac;
    60 
    61 (*locatetac tac (pt, ip); (*WAS scan_dn1: call by ([3], Pbl)*)*)
    62 "~~~~~ fun locatetac, args:"; val (tac, (ptp as (pt, p))) = (tac, (pt, ip));
    63 val (mI,m) = mk_tac'_ tac;
    64 applicable_in p pt m ; (*Appl*)
    65 member op = specsteps mI; (*false*)
    66 (*loc_solve_ (mI,m) ptp; (*Argument: (mI, m) : string * tac Reason: Can't unify tac_ with tac*)*)
    67 loc_solve_; (*without _ ??? result is -> lOc writing error ???*)
    68 (*val it = fn: string * tac_ -> ctree * (pos * pos_) -> lOc_*)
    69 (mI,m); (*string * tac*)
    70 ptp (*ctree * pos'*);
    71 "~~~~~ fun loc_solve_, args:"; val (m ,(pt,pos)) = ((mI,m), ptp);
    72 (*val (msg, cs') = solve m (pt, pos);
    73 (*Argument: m : string * tac Reason: Can't unify tac_ with tac (Different type constructors)*)*)
    74 m;
    75 (pt, pos);
    76 "~~~~~ fun solve, args:"; val ((mI,m), (pt, po as (p,p_))) = (m, (pt, pos));
    77 (*solve has still p_!!!!!!!!!!!!!!!!!!!!!!!!!*)
    78 
    79 e_metID = get_obj g_metID pt (par_pblobj pt p); (*false*)
    80 val ctxt = get_ctxt pt po;
    81 
    82 (*generate1 (assoc_thy (get_obj g_domID pt (par_pblobj pt p))) m (e_istate, ctxt) (p,p_) pt;
    83 (*Argument: m : tac Reason: Can't unify tac_ with tac (Different type constructors)*)*)
    84 (assoc_thy (get_obj g_domID pt (par_pblobj pt p)));
    85 assoc_thy;
    86 
    87 autoCalculate 1 CompleteCalc;
    88 
    89 "----------- fun init_form, fun get_stac -------------------------";
    90 "----------- fun init_form, fun get_stac -------------------------";
    91 "----------- fun init_form, fun get_stac -------------------------";
    92 val fmz = ["equality (x+1=(2::real))", "solveFor x", "solutions L"];
    93 val (dI',pI',mI') = ("Test",["sqroot-test","univariate","equation","test"],
    94   ["Test","squ-equ-test-subpbl1"]);
    95 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
    96 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
    97 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
    98 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
    99 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
   100 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
   101 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
   102 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
   103 "~~~~~ fun me, args:"; val (_,tac) = nxt;
   104 "~~~~~ fun locatetac, args:"; val ptp as (pt, p) = (pt, p);
   105 val (mI,m) = mk_tac'_ tac;
   106 val Appl m = applicable_in p pt m;
   107 member op = specsteps mI; (*false*)
   108 "~~~~~ fun loc_solve_, args:"; val (m, (pt, pos) ) = ((mI, m), ptp);
   109 "~~~~~ fun solve , args:"; val (("Apply_Method", Apply_Method' (mI,_,_,ctxt)), pos as (p,_)) = (m, pos);
   110 val {srls, ...} = get_met mI;
   111 val PblObj {meth=itms, ...} = get_obj I pt p;
   112 val thy' = get_obj g_domID pt p;
   113 val thy = assoc_thy thy';
   114 val srls = Lucin.get_simplifier (pt, pos)
   115 val (is as Pstate {env, ...}, ctxt, sc) = init_pstate srls ctxt itms mI;
   116 val ini = init_form thy sc env;
   117 "----- fun init_form, args:"; val (Prog sc) = sc;
   118 "----- fun get_stac, args:"; val (y, h $ body) = (thy, sc);
   119 case get_stac thy sc of SOME (Free ("e_e", _)) => ()
   120 | _ => error "script: Const (?, ?) in script (as term) changed";;
   121 
   122 "----------- fun sel_rules ---------------------------------------";
   123 "----------- fun sel_rules ---------------------------------------";
   124 "----------- fun sel_rules ---------------------------------------";
   125 (* compare test/../interface.sml
   126 "--------- getTactic, fetchApplicableTactics ------------";
   127 *)
   128  reset_states ();
   129  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
   130    ("Test", ["sqroot-test","univariate","equation","test"],
   131     ["Test","squ-equ-test-subpbl1"]))];
   132  Iterator 1;
   133  moveActiveRoot 1;
   134  autoCalculate 1 CompleteCalc;
   135  val ((pt,_),_) = get_calc 1;
   136  show_pt pt;
   137 
   138 (*UC\label{SOLVE:MANUAL:TACTIC:listall} UC 30.3.2.2 p.175*)
   139  val tacs = sel_rules pt ([],Pbl);
   140  case tacs of [Apply_Method ["Test", "squ-equ-test-subpbl1"]] => ()
   141  | _ => error "script.sml: diff.behav. in sel_rules ([],Pbl)";
   142 
   143  val tacs = sel_rules pt ([1],Res);
   144  case tacs of [Rewrite_Set "norm_equation", Rewrite_Set "Test_simplify",
   145       Subproblem ("Test", ["LINEAR", "univariate", "equation", "test"]),
   146       Check_elementwise "Assumptions"] => ()
   147  | _ => error "script.sml: diff.behav. in sel_rules ([1],Res)";
   148 
   149  val tacs = sel_rules pt ([3],Pbl);
   150  case tacs of [Apply_Method ["Test", "solve_linear"]] => ()
   151  | _ => error "script.sml: diff.behav. in sel_rules ([3],Pbl)";
   152 
   153  val tacs = sel_rules pt ([3,1],Res);
   154  case tacs of [Rewrite_Set_Inst (["(''bdv'', x)"], "isolate_bdv"), Rewrite_Set "Test_simplify"] => ()
   155  | _ => error "script.sml: diff.behav. in sel_rules ([3,1],Res)";
   156 
   157  val tacs = sel_rules pt ([3],Res);
   158  case tacs of [Rewrite_Set "norm_equation", Rewrite_Set "Test_simplify",
   159       Subproblem ("Test", ["LINEAR", "univariate", "equation", "test"]),
   160       Check_elementwise "Assumptions"] => ()
   161  | _ => error "script.sml: diff.behav. in sel_rules ([3],Res)";
   162 
   163  val tacs = (sel_rules pt ([],Res)) handle PTREE str => [Tac str];
   164  case tacs of [Tac "no tactics applicable at the end of a calculation"] => ()
   165  | _ => error "script.sml: diff.behav. in sel_rules ([],Res)";
   166 
   167 "----------- fun sel_appl_atomic_tacs ----------------------------";
   168 "----------- fun sel_appl_atomic_tacs ----------------------------";
   169 "----------- fun sel_appl_atomic_tacs ----------------------------";
   170  reset_states ();
   171  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
   172    ("Test", ["sqroot-test","univariate","equation","test"],
   173     ["Test","squ-equ-test-subpbl1"]))];
   174  Iterator 1;
   175  moveActiveRoot 1;
   176  autoCalculate 1 CompleteCalc;
   177 
   178 (*UC\label{SOLVE:MANUAL:TACTIC:listall} UC 30.3.2.2 p.175*)
   179  fetchApplicableTactics 1 99999 ([],Pbl);
   180 
   181  fetchApplicableTactics 1 99999 ([1],Res);
   182 "~~~~~ fun fetchApplicableTactics, args:"; val (cI, (scope:int), (p:pos')) = (1, 99999, ([1],Res));
   183 val ((pt, _), _) = get_calc cI;
   184 (*version 1:*)
   185 case sel_rules pt p of [Rewrite_Set "norm_equation", Rewrite_Set "Test_simplify",
   186   Subproblem ("Test", ["LINEAR", "univariate", "equation", "test"]),
   187   Check_elementwise "Assumptions"] => ()
   188 | _ => error "fetchApplicableTactics ([1],Res) changed";
   189 (*version 2:*)
   190 (*WAS:
   191 sel_appl_atomic_tacs pt p;
   192 ...
   193 ### atomic_appl_tacs: not impl. for tac='Subproblem(Test,["LINEAR","univariate","equation","test"])' 
   194 ### atomic_appl_tacs: not impl. for tac = 'Check_elementwise "Assumptions"' 
   195 *)
   196 
   197 "~~~~~ fun sel_appl_atomic_tacs, args:"; val (pt, (p,p_)) = (pt, p);
   198 is_spec_pos p_ = false;
   199         val pp = par_pblobj pt p
   200         val thy' = (get_obj g_domID pt pp):theory'
   201         val thy = assoc_thy thy'
   202         val metID = get_obj g_metID pt pp
   203         val metID' =
   204           if metID = e_metID 
   205           then (thd3 o snd3) (get_obj g_origin pt pp)
   206           else metID
   207         val {scr=Prog sc,srls,erls,rew_ord'=ro,...} = get_met metID'
   208         val Pstate ist = get_istate pt (p,p_)
   209         val alltacs = (*we expect at least 1 stac in a script*)
   210           map ((stac2tac pt thy) o rep_stacexpr o #1 o
   211            (interpret_leaf "selrul" thy' srls (get_subst ist) )) (stacpbls sc)
   212         val f =
   213           case p_ of
   214               Frm => get_obj g_form pt p
   215             | Res => (fst o (get_obj g_result pt)) p;
   216 (*WN120611 stopped and took version 1 again for fetchApplicableTactics !
   217 (distinct o flat o (map (atomic_appl_tacs thy ro erls f))) alltacs
   218 ...
   219 ### atomic_appl_tacs: not impl. for tac='Subproblem(Test,["LINEAR","univariate","equation","test"])' 
   220 ### atomic_appl_tacs: not impl. for tac = 'Check_elementwise "Assumptions"' 
   221 *)
   222 
   223 "----------- fun de_esc_underscore -------------------------------";
   224 "----------- fun de_esc_underscore -------------------------------";
   225 "----------- fun de_esc_underscore -------------------------------";
   226 (*
   227 > val str = "Rewrite_Set_Inst";
   228 > val esc = esc_underscore str;
   229 val it = "Rewrite'_Set'_Inst" : string
   230 > val des = de_esc_underscore esc;
   231  val des = de_esc_underscore esc;*)
   232 
   233 "----------- fun go ----------------------------------------------";
   234 "----------- fun go ----------------------------------------------";
   235 "----------- fun go ----------------------------------------------";
   236 (*
   237 > val t = (Thm.term_of o the o (parse thy)) "a+b";
   238 val it = Const (#,#) $ Free (#,#) $ Free ("b","RealDef.real") : term
   239 > val plus_a = go [L] t; 
   240 > val b = go [R] t; 
   241 > val plus = go [L,L] t; 
   242 > val a = go [L,R] t;
   243 
   244 > val t = (Thm.term_of o the o (parse thy)) "a+b+c";
   245 val t = Const (#,#) $ (# $ # $ Free #) $ Free ("c","RealDef.real") : term
   246 > val pl_pl_a_b = go [L] t; 
   247 > val c = go [R] t; 
   248 > val a = go [L,R,L,R] t; 
   249 > val b = go [L,R,R] t; 
   250 *)
   251 
   252 "----------- fun formal_args -------------------------------------";
   253 "----------- fun formal_args -------------------------------------";
   254 "----------- fun formal_args -------------------------------------";
   255 (*
   256 > formal_args scr;
   257   [Free ("f_","RealDef.real"),Free ("v_","RealDef.real"),
   258    Free ("eqs_","bool List.list")] : term list
   259 *)
   260 "----------- fun dsc_valT ----------------------------------------";
   261 "----------- fun dsc_valT ----------------------------------------";
   262 "----------- fun dsc_valT ----------------------------------------";
   263 (*> val t = (Thm.term_of o the o (parse thy)) "equality";
   264 > val T = type_of t;
   265 val T = "bool => Tools.una" : typ
   266 > val dsc = dsc_valT t;
   267 val dsc = "una" : string
   268 
   269 > val t = (Thm.term_of o the o (parse thy)) "fixedValues";
   270 > val T = type_of t;
   271 val T = "bool List.list => Tools.nam" : typ
   272 > val dsc = dsc_valT t;
   273 val dsc = "nam" : string*)
   274 "----------- fun itms2args ---------------------------------------";
   275 "----------- fun itms2args ---------------------------------------";
   276 "----------- fun itms2args ---------------------------------------";
   277 (*
   278 > val sc = ... Solve_root_equation ...
   279 > val mI = ("Program","sqrt-equ-test");
   280 > val PblObj{meth={ppc=itms,...},...} = get_obj I pt [];
   281 > val ts = itms2args thy mI itms;
   282 > map (term_to_string''' thy) ts;
   283 ["sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x)","x","#0"] : string list
   284 *)
   285 "----------- fun rep_tac_ ----------------------------------------";
   286 "----------- fun rep_tac_ ----------------------------------------";
   287 "----------- fun rep_tac_ ----------------------------------------";
   288 (***************fun rep_tac_ (Rewrite_Inst' (thy', rod, rls, put, subs, (thmID, _), f, (f', _))) = 
   289 Fehlersuche 25.4.01
   290 (a)----- als String zusammensetzen:
   291 ML> term2str f; 
   292 val it = "d_d x #4 + d_d x (x ^^^ #2 + #3 * x)" : string
   293 ML> term2str f'; 
   294 val it = "#0 + d_d x (x ^^^ #2 + #3 * x)" : string
   295 ML> subs;
   296 val it = [(Free ("bdv","RealDef.real"),Free ("x","RealDef.real"))] : subst
   297 > val tt = (Thm.term_of o the o (parse thy))
   298   "(Rewrite_Inst[(''bdv'',x)]diff_const (d_d x #4 + d_d x (x ^^^ #2 + #3 * x)))=(#0 + d_d x (x ^^^ #2 + #3 * x))";
   299 > atomty tt;
   300 ML> tracing (term2str tt); 
   301 (Rewrite_Inst [(''bdv'',x)] diff_const  d_d x #4 + d_d x (x ^^^ #2 + #3 * x)) =
   302  #0 + d_d x (x ^^^ #2 + #3 * x)
   303 
   304 (b)----- laut rep_tac_:
   305 > val ttt=HOLogic.mk_eq (lhs,f');
   306 > atomty ttt;
   307 
   308 
   309 (*Fehlersuche 1-2Monate vor 4.01:*)
   310 > val tt = (Thm.term_of o the o (parse thy))
   311   "Rewrite_Inst[(''bdv'',x)]square_equation_left True(x=#1+#2)";
   312 > atomty tt;
   313 
   314 > val f = (Thm.term_of o the o (parse thy)) "x=#1+#2";
   315 > val f' = (Thm.term_of o the o (parse thy)) "x=#3";
   316 > val subs = [((Thm.term_of o the o (parse thy)) "bdv",
   317 	       (Thm.term_of o the o (parse thy)) "x")];
   318 > val sT = (type_of o fst o hd) subs;
   319 > val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
   320 			      (map HOLogic.mk_prod subs);
   321 > val sT' = type_of subs';
   322 > val lhs = Const ("Prog_Tac.Rewrite'_Inst",[sT',idT,fT,fT] ---> fT) 
   323   $ subs' $ Free (thmID,idT) $ @{term True} $ f;
   324 > lhs = tt;
   325 val it = true : bool
   326 > rep_tac_ (Rewrite_Inst' 
   327 	       ("Program","tless_true","eval_rls",false,subs,
   328 		("square_equation_left",""),f,(f',[])));
   329 *)
   330 (****************************| rep_tac_ (Rewrite' (thy', _, _, put, (thmID, _), f, (f', _)))=
   331 > val tt = (Thm.term_of o the o (parse thy)) (*____   ____..test*)
   332   "Rewrite square_equation_left True (x=#1+#2) = (x=#3)";
   333 
   334 > val f = (Thm.term_of o the o (parse thy)) "x=#1+#2";
   335 > val f' = (Thm.term_of o the o (parse thy)) "x=#3";
   336 > val Thm (id,thm) = 
   337   rep_tac_ (Rewrite' 
   338    ("Program","tless_true","eval_rls",false,
   339     ("square_equation_left",""),f,(f',[])));
   340 > val SOME ct = parse thy   
   341   "Rewrite square_equation_left True (x=#1+#2)"; 
   342 > rewrite_ Program.thy tless_true eval_rls true thm ct;
   343 val it = SOME ("x = #3",[]) : (cterm * cterm list) option
   344 *)
   345 (****************************************  | rep_tac_ (Rewrite_Set_Inst' 
   346 WN050824: type error ...
   347   let val fT = type_of f;
   348     val sT = (type_of o fst o hd) subs;
   349     val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
   350       (map HOLogic.mk_prod subs);
   351     val sT' = type_of subs';
   352     val lhs = Const ("Prog_Tac.Rewrite'_Set'_Inst",
   353 		     [sT',idT,fT,fT] ---> fT) 
   354       $ subs' $ Free (id_rls rls,idT) $ b $ f;
   355   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end*)
   356 (* ... vals from Rewrite_Inst' ...
   357 > rep_tac_ (Rewrite_Set_Inst' 
   358 	       ("Program",false,subs,
   359 		"isolate_bdv",f,(f',[])));
   360 *)
   361 (* val (Rewrite_Set' (thy',put,rls,f,(f',asm)))=m;
   362 *)
   363 (**************************************   | rep_tac_ (Rewrite_Set' (thy',put,rls,f,(f',asm)))=
   364 13.3.01:
   365 val thy = assoc_thy thy';
   366 val t = HOLogic.mk_eq (lhs,f');
   367 make_rule thy t;
   368 --------------------------------------------------
   369 val lll = (Thm.term_of o the o (parse thy)) 
   370   "Rewrite_Set SqRoot_simplify (d_d x (x ^^^ #2 + #3 * x) + d_d x #4)";
   371 
   372 --------------------------------------------------
   373 > val f = (Thm.term_of o the o (parse thy)) "x=#1+#2";
   374 > val f' = (Thm.term_of o the o (parse thy)) "x=#3";
   375 > val Thm (id,thm) = 
   376   rep_tac_ (Rewrite_Set' 
   377    ("Program",false,"SqRoot_simplify",f,(f',[])));
   378 val id = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : string
   379 val thm = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : thm
   380 *)
   381 (*****************************************   | rep_tac_ (Calculate' (thy',op_,f,(f',thm')))=
   382 > val lhs'=(Thm.term_of o the o (parse thy))"Calculate plus (#1+#2)";
   383   ... test-root-equ.sml: calculate ...
   384 > val Appl m'=applicable_in p pt (Calculate "PLUS");
   385 > val (lhs,_)=tac_2etac m';
   386 > lhs'=lhs;
   387 val it = true : bool*)
   388 
   389 "----------- fun init_pstate -----------------------------------------------------------------";
   390 "----------- fun init_pstate -----------------------------------------------------------------";
   391 "----------- fun init_pstate -----------------------------------------------------------------";
   392 val fmz = ["Traegerlaenge L","Streckenlast q_0","Biegelinie y",
   393 	     "Randbedingungen [y 0 = (0::real), y L = 0, M_b 0 = 0, M_b L = 0]",
   394 	     "FunktionsVariable x", "GleichungsVariablen [c, c_2, c_3, c_4]",
   395 	     "AbleitungBiegelinie dy"];
   396 val (dI',pI',mI') = ("Biegelinie", ["Biegelinien"],
   397 		     ["IntegrierenUndKonstanteBestimmen2"]);
   398 val p = e_pos'; val c = [];
   399 (*[], Pbl*)val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))]; (*nxt = Model_Problem*)
   400 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "Traegerlaenge L"*)
   401 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "Streckenlast q_0"*)
   402 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Find "Biegelinie y"*)
   403 (*[], 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*)
   404 (*[], 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]"*)
   405 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Theory "Biegelinie"*)
   406 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Problem ["Biegelinien"]*)
   407 (*[], Pbl*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Specify_Method ["IntegrierenUndKonstanteBestimmen2"]*)
   408 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "FunktionsVariable x"*)
   409 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "GleichungsVariablen [c, c_2, c_3, c_4]"*)
   410 (*[], Met*)val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = Add_Given "AbleitungBiegelinie dy"*)
   411 (*[], Met*)val (p''''',_,f,nxt''''',_,pt''''') = me nxt p c pt; (*nxt''''' = Apply_Method ["IntegrierenUndKonstanteBestimmen2"*)
   412 
   413 (*+*)val PblObj {meth, spec = (thy, _ , metID), ...} = get_obj I pt''''' (fst p''''');
   414 (*+*)val ctxt = get_ctxt pt''''' p''''';
   415 (*+*)val srls = get_simplifier (pt''''', p''''');
   416 "~~~~~ fun init_pstate , args:"; val (srls, thy, itms, metID) = (srls, assoc_thy thy, meth, metID);
   417 val (Pstate st, ctxt, Prog _) = init_pstate srls ctxt itms metID;
   418 if scrstate2str st =
   419    "([\"\n(l, L)\",\"\n(q, q_0)\",\"\n(v, x)\",\"\n(b, dy)\",\"\n(s, [y 0 = 0, y L = 0, M_b 0 = 0, M_b L = 0])\",\"\n(vs, [c, c_2, c_3, c_4])\",\"\n(id_abl, y)\"], [], erls_IntegrierenUndK.., NONE, \n??.empty, ORundef, AppUndef_, true)"
   420 then () else error "init_pstate changed for Biegelinie";
   421 
   422 (*[1], Pbl*)val (p,_,f,nxt,_,pt) = me nxt''''' p''''' c pt'''''; (*nxt = Model_Problem*)
   423 if p = ([1], Pbl) andalso (fst nxt) = "Model_Problem" then ()
   424 else error "modeling root-problem of Biegelinie 7.70 changed";