src/Tools/isac/Interpret/calchead.sml
author Mathias Lehnfeld <bonzai@inode.at>
Mon, 11 Apr 2011 12:56:57 +0200
branchdecompose-isar
changeset 41953 63c956fc503e
parent 41952 0e76e17a430a
child 41960 3048fe25fe67
permissions -rw-r--r--
intermed. ctxt introduction

- appl_add finished with parseNEW
- ctxt insertion into ptree
- get ctxt from tree in specification phase for parseNEW
     1 (* Title:  Specify-phase: specifying and modeling a problem or a subproblem. The
     2            most important types are declared in mstools.sml.
     3    Author: Walther Neuper 991122
     4    (c) due to copyright terms
     5 
     6 12345678901234567890123456789012345678901234567890123456789012345678901234567890
     7         10        20        30        40        50        60        70        80
     8 *)
     9 
    10 (* TODO interne Funktionen aus sig entfernen *)
    11 signature CALC_HEAD =
    12   sig
    13     datatype additm = Add of SpecifyTools.itm | Err of string
    14     val all_dsc_in : SpecifyTools.itm_ list -> Term.term list
    15     val all_modspec : ptree * pos' -> ptree * pos'
    16     datatype appl = Appl of tac_ | Notappl of string
    17     val appl_add :
    18        Proof.context ->
    19        string ->
    20        SpecifyTools.ori list ->
    21        SpecifyTools.itm list ->
    22        (string * (Term.term * Term.term)) list -> cterm' -> additm
    23     type calcstate
    24     type calcstate'
    25     val chk_vars : term ppc -> string * Term.term list
    26     val chktyp :
    27        theory -> int * term list * term list -> term
    28     val chktyps :
    29        theory -> term list * term list -> term list
    30     val complete_metitms :
    31    SpecifyTools.ori list ->
    32    SpecifyTools.itm list ->
    33    SpecifyTools.itm list -> pat list -> SpecifyTools.itm list
    34     val complete_mod_ : ori list * pat list * pat list * itm list ->
    35 			itm list * itm list
    36     val complete_mod : ptree * pos' -> ptree * (pos * pos_)
    37     val complete_spec : ptree * pos' -> ptree * pos'
    38     val cpy_nam :
    39        pat list -> preori list -> pat -> preori
    40     val e_calcstate : calcstate
    41     val e_calcstate' : calcstate'
    42     val eq1 : ''a -> 'b * (''a * 'c) -> bool
    43     val eq3 :
    44        ''a -> Term.term -> 'b * 'c * 'd * ''a * SpecifyTools.itm_ -> bool
    45     val eq4 : ''a -> 'b * ''a list * 'c * 'd * 'e -> bool
    46     val eq5 :
    47        'a * 'b * 'c * 'd * SpecifyTools.itm_ ->
    48        'e * 'f * 'g * Term.term * 'h -> bool
    49     val eq_dsc : SpecifyTools.itm * SpecifyTools.itm -> bool
    50     val eq_pos' : ''a * pos_ -> ''a * pos_ -> bool
    51     val f_mout : theory -> mout -> Term.term
    52     val filter_outs :
    53        SpecifyTools.ori list ->
    54        SpecifyTools.itm list -> SpecifyTools.ori list
    55     val filter_pbt :
    56        SpecifyTools.ori list ->
    57        ('a * (Term.term * 'b)) list -> SpecifyTools.ori list
    58     val foldl1 : ('a * 'a -> 'a) -> 'a list -> 'a
    59     val foldr1 : ('a * 'a -> 'a) -> 'a list -> 'a
    60     val form : 'a -> ptree -> (string * ('a * pos_) * Term.term) list
    61     val formres : 'a -> ptree -> (string * ('a * pos_) * Term.term) list
    62     val gen_ins' : ('a * 'a -> bool) -> 'a * 'a list -> 'a list
    63     val get_formress :
    64        (string * (pos * pos_) * Term.term) list list ->
    65        pos -> ptree list -> (string * (pos * pos_) * Term.term) list
    66     val get_forms :
    67        (string * (pos * pos_) * Term.term) list list ->
    68        posel list -> ptree list -> (string * (pos * pos_) * Term.term) list
    69     val get_interval : pos' -> pos' -> int -> ptree -> (pos' * term) list
    70     val get_ocalhd : ptree * pos' -> ocalhd
    71     val get_spec_form : tac_ -> pos' -> ptree -> mout
    72     val geti_ct :
    73        theory ->
    74        SpecifyTools.ori -> SpecifyTools.itm -> string * cterm'
    75     val getr_ct : theory -> SpecifyTools.ori -> string * cterm'
    76     val has_list_type : Term.term -> bool
    77     val header : pos_ -> pblID -> metID -> pblmet
    78     val insert_ppc :
    79        theory ->
    80        int * SpecifyTools.vats * bool * string * SpecifyTools.itm_ ->
    81        SpecifyTools.itm list -> SpecifyTools.itm list
    82     val insert_ppc' :
    83        SpecifyTools.itm -> SpecifyTools.itm list -> SpecifyTools.itm list
    84     val is_complete_mod : ptree * pos' -> bool
    85     val is_complete_mod_ : SpecifyTools.itm list -> bool
    86     val is_complete_modspec : ptree * pos' -> bool
    87     val is_complete_spec : ptree * pos' -> bool
    88     val is_copy_named : 'a * ('b * Term.term) -> bool
    89     val is_copy_named_idstr : string -> bool
    90     val is_error : SpecifyTools.itm_ -> bool
    91     val is_field_correct : ''a -> ''b -> (''a * ''b list) list -> bool
    92     val is_known :
    93        Proof.context ->
    94        string ->
    95        SpecifyTools.ori list ->
    96        Term.term -> string * SpecifyTools.ori * Term.term list
    97     val is_list_type : Term.typ -> bool
    98     val is_notyet_input :
    99        Proof.context ->
   100        SpecifyTools.itm list ->
   101        Term.term list ->
   102        SpecifyTools.ori ->
   103        ('a * (Term.term * Term.term)) list -> string * SpecifyTools.itm
   104     val is_parsed : SpecifyTools.itm_ -> bool
   105     val is_untouched : SpecifyTools.itm -> bool
   106     val matc :
   107        theory ->
   108        pat list ->
   109        Term.term list ->
   110        (int list * string * Term.term * Term.term list) list ->
   111        (int list * string * Term.term * Term.term list) list
   112     val match_ags :
   113        theory -> pat list -> Term.term list -> SpecifyTools.ori list
   114     val maxl : int list -> int
   115     val match_ags_msg : string list -> Term.term -> Term.term list -> unit
   116     val memI : ''a list -> ''a -> bool
   117     val mk_additem : string -> cterm' -> tac
   118     val mk_delete : theory -> string -> SpecifyTools.itm_ -> tac
   119     val mtc :
   120        theory -> pat -> Term.term -> SpecifyTools.preori option
   121     val nxt_add :
   122        theory ->
   123        SpecifyTools.ori list ->
   124        (string * (Term.term * 'a)) list ->
   125        SpecifyTools.itm list -> (string * cterm') option
   126     val nxt_model_pbl : tac_ -> ptree * (int list * pos_) -> tac_
   127     val nxt_spec :
   128        pos_ ->
   129        bool ->
   130        SpecifyTools.ori list ->
   131        spec ->
   132        SpecifyTools.itm list * SpecifyTools.itm list ->
   133        (string * (Term.term * 'a)) list * (string * (Term.term * 'b)) list ->
   134        spec -> pos_ * tac
   135     val nxt_specif : tac -> ptree * (int list * pos_) -> calcstate'
   136     val nxt_specif_additem :
   137        string -> cterm' -> ptree * (int list * pos_) -> calcstate'
   138     val nxt_specify_init_calc : fmz -> calcstate
   139     val ocalhd_complete :
   140        SpecifyTools.itm list ->
   141        (bool * Term.term) list -> domID * pblID * metID -> bool
   142     val ori2Coritm :
   143 	pat list -> ori -> itm
   144     val ori_2itm :
   145        SpecifyTools.itm_ ->
   146        Term.term -> Term.term list -> SpecifyTools.ori -> SpecifyTools.itm
   147     val overwrite_ppc :
   148        theory ->
   149        int * SpecifyTools.vats * bool * string * SpecifyTools.itm_ ->
   150        SpecifyTools.itm list ->
   151        (int * SpecifyTools.vats * bool * string * SpecifyTools.itm_) list
   152     val parse_ok : SpecifyTools.itm_ list -> bool
   153     val posform2str : pos' * ptform -> string
   154     val posforms2str : (pos' * ptform) list -> string
   155     val posterms2str : (pos' * term) list -> string (*tests only*)
   156     val ppc135list : 'a SpecifyTools.ppc -> 'a list
   157     val ppc2list : 'a SpecifyTools.ppc -> 'a list
   158     val pt_extract :
   159        ptree * (int list * pos_) ->
   160        ptform * tac option * Term.term list
   161     val pt_form : ppobj -> ptform
   162     val pt_model : ppobj -> pos_ -> ptform
   163     val reset_calchead : ptree * pos' -> ptree * pos'
   164     val seek_oridts :
   165        Proof.context ->
   166        string ->
   167        Term.term * Term.term list ->
   168        (int * SpecifyTools.vats * string * Term.term * Term.term list) list
   169        -> string * SpecifyTools.ori * Term.term list
   170     val seek_orits :
   171        Proof.context ->
   172        string ->
   173        Term.term list ->
   174        (int * SpecifyTools.vats * string * Term.term * Term.term list) list
   175        -> string * SpecifyTools.ori * Term.term list
   176     val seek_ppc :
   177        int -> SpecifyTools.itm list -> SpecifyTools.itm option
   178     val show_pt : ptree -> unit
   179     val some_spec : spec -> spec -> spec
   180     val specify :
   181        tac_ ->
   182        pos' ->
   183        cid ->
   184        ptree ->
   185        (posel list * pos_) * ((posel list * pos_) * istate) * mout * tac *
   186        safe * ptree
   187     val specify_additem :
   188        string ->
   189        cterm' * 'a ->
   190        int list * pos_ ->
   191        'b ->
   192        ptree ->
   193        (pos * pos_) * ((pos * pos_) * istate) * mout * tac * safe * ptree
   194     val tag_form : theory -> term * term -> term
   195     val test_types : Proof.context -> Term.term * Term.term list -> string
   196     val typeless : Term.term -> Term.term
   197     val unbound_ppc : term SpecifyTools.ppc -> Term.term list
   198     val vals_of_oris : SpecifyTools.ori list -> Term.term list
   199     val variants_in : Term.term list -> int
   200     val vars_of_pbl_ : ('a * ('b * Term.term)) list -> Term.term list
   201     val vars_of_pbl_' : ('a * ('b * Term.term)) list -> Term.term list
   202   end
   203  
   204 
   205 
   206 
   207 
   208 structure CalcHead (**): CALC_HEAD(**) =
   209 
   210 struct
   211 
   212 (* datatypes *)
   213 
   214 (*.the state wich is stored after each step of calculation; it contains
   215    the calc-state and a list of [tac,istate](="tacis") to be applied next.
   216    the last_elem tacis is the first to apply to the calc-state and
   217    the (only) one shown to the front-end as the 'proposed tac'.
   218    the calc-state resulting from the application of tacis is not stored,
   219    because the tacis hold enough information for efficiently rebuilding
   220    this state just by "fun generate ".*)
   221 type calcstate = 
   222      (ptree * pos') *    (*the calc-state to which the tacis could be applied*)
   223      (taci list);        (*ev. several (hidden) steps; 
   224                            in REVERSE order: first tac_ to apply is last_elem*)
   225 val e_calcstate = ((EmptyPtree, e_pos'), [e_taci]):calcstate;
   226 
   227 (*the state used during one calculation within the mathengine; it contains
   228   a list of [tac,istate](="tacis") which generated the the calc-state;
   229   while this state's tacis are extended by each (internal) step,
   230   the calc-state is used for creating new nodes in the calc-tree
   231   (eg. applicable_in requires several particular nodes of the calc-tree)
   232   and then replaced by the the newly created;
   233   on leave of the mathengine the resuing calc-state is dropped anyway,
   234   because the tacis hold enought information for efficiently rebuilding
   235   this state just by "fun generate ".*)
   236 type calcstate' = 
   237      taci list *        (*cas. several (hidden) steps; 
   238                           in REVERSE order: first tac_ to apply is last_elem*)
   239      pos' list *        (*a "continuous" sequence of pos',
   240 			 deleted by application of taci list*)     
   241      (ptree * pos');    (*the calc-state resulting from the application of tacis*)
   242 val e_calcstate' = ([e_taci], [e_pos'], (EmptyPtree, e_pos')):calcstate';
   243 
   244 (*FIXXXME.WN020430 intermediate hack for fun ass_up*)
   245 fun f_mout thy (Form' (FormKF (_,_,_,_,f))) = (term_of o the o (parse thy)) f
   246   | f_mout thy _ = error "f_mout: not called with formula";
   247 
   248 
   249 (*.is the calchead complete ?.*)
   250 fun ocalhd_complete (its: itm list) (pre: (bool * term) list) (dI,pI,mI) = 
   251     foldl and_ (true, map #3 its) andalso 
   252     foldl and_ (true, map #1 pre) andalso 
   253     dI<>e_domID andalso pI<>e_pblID andalso mI<>e_metID;
   254 
   255 
   256 (* make a term 'typeless' for comparing with another 'typeless' term;
   257    'type-less' usually is illtyped                                  *)
   258 fun typeless (Const(s,_)) = (Const(s,e_type)) 
   259   | typeless (Free(s,_)) = (Free(s,e_type))
   260   | typeless (Var(n,_)) = (Var(n,e_type))
   261   | typeless (Bound i) = (Bound i)
   262   | typeless (Abs(s,_,t)) = Abs(s,e_type, typeless t)
   263   | typeless (t1 $ t2) = (typeless t1) $ (typeless t2);
   264 (*
   265 > val (SOME ct) = parse thy "max_relation (A=#2*a*b - a^^^#2)";
   266 > val (_,t1) = split_dsc_t hs (term_of ct);
   267 > val (SOME ct) = parse thy "A=#2*a*b - a^^^#2";
   268 > val (_,t2) = split_dsc_t hs (term_of ct);
   269 > typeless t1 = typeless t2;
   270 val it = true : bool
   271 *)
   272 
   273 
   274 
   275 (*.to an input (d,ts) find the according ori and insert the ts.*)
   276 (*WN.11.03: + dont take first inter<>[]*)
   277 fun seek_oridts ctxt sel (d,ts) [] =
   278     ("seek_oridts: input ('" ^
   279         (Print_Mode.setmp [] (Syntax.string_of_term ctxt) (comp_dts (d,ts))) ^
   280         "') not found in oris (typed)",
   281       (0, [], sel, d, ts),
   282       [])
   283   | seek_oridts ctxt sel (d,ts) ((id, vat, sel', d', ts')::oris) =
   284     if sel = sel' andalso d = d' andalso (inter op = ts ts') <> [] then
   285       ("", (id, vat, sel, d, inter op = ts ts'), ts') else
   286       seek_oridts ctxt sel (d, ts) oris;
   287 
   288 (*.to an input (_,ts) find the according ori and insert the ts.*)
   289 fun seek_orits ctxt sel ts [] = 
   290   ("seek_orits: input (_, '" ^ strs2str (map (Print_Mode.setmp [](Syntax.string_of_term 
   291                                            ctxt)) ts) ^
   292    "') not found in oris (typed)", e_ori_, [])
   293   | seek_orits ctxt sel ts ((id,vat,sel',d,ts')::(oris:ori list)) =
   294     if sel = sel' andalso (inter op = ts ts') <> [] 
   295     then if sel = sel' 
   296 	 then ("",
   297                (id,vat,sel,d, inter op = ts ts'):ori, 
   298                ts')
   299 	 else (((strs2str' o map (Print_Mode.setmp [] (Syntax.string_of_term
   300                                                            ctxt))) ts)
   301                ^ " not for " ^ sel, 
   302                e_ori_, 
   303                [])
   304     else seek_orits ctxt sel ts oris;
   305 (* false
   306 > val ((id,vat,sel',d,ts')::(ori':ori)) = ori;
   307 > seek_orits thy sel ts [(id,vat,sel',d,ts')];
   308 uncaught exception TYPE
   309 > seek_orits thy sel ts [];
   310 uncaught exception TYPE
   311 *)
   312 
   313 (*find_first item with #1 equal to id*)
   314 fun seek_ppc id [] = NONE
   315   | seek_ppc id (p::(ppc:itm list)) =
   316     if id = #1 p then SOME p else seek_ppc id ppc;
   317 
   318 
   319 
   320 (*---------------------------------------------(3) nach ptyps.sml 23.3.02*)
   321 
   322 
   323 datatype appl = Appl of tac_ | Notappl of string;
   324 
   325 fun ppc2list ({Given=gis,Where=whs,Find=fis,
   326 	       With=wis,Relate=res}: 'a ppc) =
   327   gis @ whs @ fis @ wis @ res;
   328 fun ppc135list ({Given=gis,Find=fis,Relate=res,...}: 'a ppc) =
   329   gis @ fis @ res;
   330 
   331 
   332 
   333 
   334 (* get the number of variants in a problem in 'original',
   335    assumes equal descriptions in immediate sequence    *)
   336 fun variants_in ts =
   337   let fun eq(x,y) = head_of x = head_of y;
   338     fun cnt eq [] y n = ([n],[])
   339       | cnt eq (x::xs) y n = if eq(x,y) then cnt eq xs y (n+1)
   340 			     else ([n], x::xs);
   341     fun coll eq  xs [] = xs
   342       | coll eq  xs (y::ys) = 
   343       let val (n,ys') = cnt eq (y::ys) y 0;
   344       in if ys' = [] then xs @ n else coll eq  (xs @ n) ys' end;
   345     val vts = subtract op = [1] (distinct (coll eq [] ts));
   346   in case vts of [] => 1 | [n] => n
   347       | _ => error "different variants in formalization" end;
   348 (*
   349 > cnt (op=) [2,2,2,4,5,5,5,5,5] 2 0;
   350 val it = ([3],[4,5,5,5,5,5]) : int list * int list
   351 > coll (op=) [] [1,2,2,2,4,5,5,5,5,5];
   352 val it = [1,3,1,5] : int list
   353 *)
   354 
   355 fun is_list_type (Type("List.list",_)) = true
   356   | is_list_type _ = false;
   357 (* fun destr (Type(str,sort)) = (str,sort);
   358 > val (SOME ct) = parse thy "lll::real list";
   359 > val ty = (#T o rep_cterm) ct;
   360 > is_list_type ty;
   361 val it = true : bool 
   362 > destr ty;
   363 val it = ("List.list",["RealDef.real"]) : string * typ list
   364 > atomty ((#t o rep_cterm) ct);
   365 *** -------------
   366 *** Free ( lll, real list)
   367 val it = () : unit
   368  
   369 > val (SOME ct) = parse thy "[lll::real]";
   370 > val ty = (#T o rep_cterm) ct;
   371 > is_list_type ty;
   372 val it = true : bool 
   373 > destr ty;
   374 val it = ("List.list",["'a"]) : string * typ list
   375 > atomty ((#t o rep_cterm) ct);
   376 *** -------------
   377 *** Const ( List.list.Cons, [real, real list] => real list)
   378 ***   Free ( lll, real)
   379 ***   Const ( List.list.Nil, real list) 
   380 
   381 > val (SOME ct) = parse thy "lll";
   382 > val ty = (#T o rep_cterm) ct;
   383 > is_list_type ty;
   384 val it = false : bool  *)
   385 
   386 
   387 fun has_list_type (Free(_,T)) = is_list_type T
   388   | has_list_type _ = false;
   389 (*
   390 > val (SOME ct) = parse thy "lll::real list";
   391 > has_list_type (term_of ct);
   392 val it = true : bool
   393 > val (SOME ct) = parse thy "[lll::real]";
   394 > has_list_type (term_of ct);
   395 val it = false : bool *)
   396 
   397 fun is_parsed (Syn _) = false
   398   | is_parsed _ = true;
   399 fun parse_ok its = foldl and_ (true, map is_parsed its);
   400 
   401 fun all_dsc_in itm_s =
   402   let    
   403     fun d_in (Cor ((d,_),_)) = [d]
   404       | d_in (Syn c) = []
   405       | d_in (Typ c) = []
   406       | d_in (Inc ((d,_),_)) = [d]
   407       | d_in (Sup (d,_)) = [d]
   408       | d_in (Mis (d,_)) = [d];
   409   in (flat o (map d_in)) itm_s end;  
   410 
   411 (* 30.1.00 ---
   412 fun is_Syn (Syn _) = true
   413   | is_Syn (Typ _) = true
   414   | is_Syn _ = false;
   415  --- *)
   416 fun is_error (Cor (_,ts)) = false
   417   | is_error (Sup (_,ts)) = false
   418   | is_error (Inc (_,ts)) = false
   419   | is_error (Mis (_,ts)) = false
   420   | is_error _ = true;
   421 
   422 (* 30.1.00 ---
   423 fun ct_in (Syn (c)) = c
   424   | ct_in (Typ (c)) = c
   425   | ct_in _ = error "ct_in called for Cor .. Sup";
   426  --- *)
   427 
   428 (*#############################################################*)
   429 (*#############################################################*)
   430 (* vvv--- aus nnewcode.sml am 30.1.00 ---vvv *)
   431 
   432 
   433 (* testdaten besorgen:
   434    use"test-coil-kernel.sml";
   435    val (PblObj{origin=(oris,_,_),meth={ppc=itms,...},...}) = 
   436         get_obj I pt p;
   437   *)
   438 
   439 (* given oris, ppc, 
   440    variant V: oris union ppc => int, id ID: oris union ppc => int
   441 
   442    ppc is_complete == 
   443      EX vt:V. ALL r:oris --> EX i:ppc. ID r = ID i  &  complete i
   444 
   445    and
   446      @vt = max sum(i : ppc) V i
   447 *)
   448 
   449 
   450 
   451 (*
   452 > ((vts_cnt (vts_in itms))) itms;
   453 
   454 
   455 
   456 ---^^--test 10.3.
   457 > val vts = vts_in itms;
   458 val vts = [1,2,3] : int list
   459 > val nvts = vts_cnt vts itms;
   460 val nvts = [(1,6),(2,5),(3,7)] : (int * int) list
   461 > val mx = max2 nvts;
   462 val mx = (3,7) : int * int
   463 > val v = max_vt itms;
   464 val v = 3 : int
   465 --------------------------
   466 > 
   467 *)
   468 
   469 (*.get the first term in ts from ori.*)
   470 (* val (_,_,fd,d,ts) = hd miss;
   471    *)
   472 fun getr_ct thy ((_, _, fd, d, ts) : ori) =
   473     (fd, (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) o 
   474           comp_dts) (d,[hd ts]) : cterm');
   475 (* val t = comp_dts (d,[hd ts]);
   476    *)
   477 
   478 (* get a term from ori, notyet input in itm.
   479    the term from ori is thrown back to a string in order to reuse
   480    machinery for immediate input by the user. *)
   481 fun geti_ct thy ((_, _, _, d, ts) : ori) ((_, _, _, fd, itm_) : itm) =  
   482     (fd, Print_Mode.setmp [] ((Syntax.string_of_term (thy2ctxt thy)) o comp_dts) 
   483                           (d, subtract op = (ts_in itm_) ts) : cterm');
   484 fun geti_ct thy ((_, _, _, d, ts) : ori) ((_, _, _, fd, itm_) : itm) =  
   485     (fd, Print_Mode.setmp [] ((Syntax.string_of_term (thy2ctxt thy)) o comp_dts) 
   486                           (d, subtract op = (ts_in itm_) ts) : cterm');
   487 
   488 (* in FE dsc, not dat: this is in itms ...*)
   489 fun is_untouched ((_,_,false,_,Inc((_,[]),_)):itm) = true
   490   | is_untouched _ = false;
   491 
   492 
   493 (* select an item in oris, notyet input in itms 
   494    (precondition: in itms are only Cor, Sup, Inc) *)
   495 local infix mem;
   496 fun x mem [] = false
   497   | x mem (y :: ys) = x = y orelse x mem ys;
   498 in 
   499 fun nxt_add thy ([]:ori list) pbt itms = (*root (only) ori...fmz=[]*)
   500   let
   501     fun test_d d ((i,_,_,_,itm_):itm) = (d = (d_in itm_)) andalso i<>0; 
   502     fun is_elem itms (f,(d,t)) = 
   503       case find_first (test_d d) itms of 
   504 	SOME _ => true | NONE => false;
   505   in case filter_out (is_elem itms) pbt of
   506 (* val ((f,(d,_))::itms) = filter_out (is_elem itms) pbt;
   507    *)
   508     (f,(d,_))::itms => 
   509     SOME (f : string, 
   510           ((Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) o
   511            comp_dts) (d, []) : cterm')
   512   | _ => NONE end
   513 
   514 (* val (thy,itms) = (assoc_thy (if dI=e_domID then dI' else dI),pbl);
   515    *)
   516   | nxt_add thy oris pbt itms =
   517   let
   518     fun testr_vt v ori = (curry (op mem) v) (#2 (ori:ori))
   519       andalso (#3 ori) <>"#undef";
   520     fun testi_vt v itm = (curry (op mem) v) (#2 (itm:itm));
   521     fun test_id ids r = curry (op mem) (#1 (r:ori)) ids;
   522     fun test_subset (itm:itm) ((_,_,_,d,ts):ori) = 
   523 	(d_in (#5 itm)) = d andalso subset op = (ts_in (#5 itm), ts);
   524     fun false_and_not_Sup((i,v,false,f,Sup _):itm) = false
   525       | false_and_not_Sup (i,v,false,f, _) = true
   526       | false_and_not_Sup  _ = false;
   527 
   528     val v = if itms = [] then 1 else max_vt itms;
   529     val vors = if v = 0 then oris else filter (testr_vt v) oris;(*oris..vat*)
   530     val vits = if v = 0 then itms (*because of dsc without dat*)
   531 	       else filter (testi_vt v) itms;                   (*itms..vat*)
   532     val icl = filter false_and_not_Sup vits; (* incomplete *)
   533   in if icl = [] 
   534      then case filter_out (test_id (map #1 vits)) vors of
   535 	      [] => NONE
   536 	    (* val miss = filter_out (test_id (map #1 vits)) vors;
   537 	       *)
   538 	    | miss => SOME (getr_ct thy (hd miss))
   539      else
   540 	 case find_first (test_subset (hd icl)) vors of
   541 	     (* val SOME ori = find_first (test_subset (hd icl)) vors;
   542 	      *)
   543 	     NONE => error "nxt_add: EX itm. not(dat(itm)<=dat(ori))"
   544 	   | SOME ori => SOME (geti_ct thy ori (hd icl))
   545   end
   546 end;
   547 
   548 
   549 
   550 fun mk_delete thy "#Given"  itm_ = Del_Given   (itm_out thy itm_)
   551   | mk_delete thy "#Find"   itm_ = Del_Find    (itm_out thy itm_)
   552   | mk_delete thy "#Relate" itm_ = Del_Relation(itm_out thy itm_)
   553   | mk_delete thy str _ = 
   554   error ("mk_delete: called with field '"^str^"'");
   555 fun mk_additem "#Given" ct = Add_Given ct
   556   | mk_additem "#Find"  ct = Add_Find ct    
   557   | mk_additem "#Relate"ct = Add_Relation ct
   558   | mk_additem str _ = 
   559   error ("mk_additem: called with field '"^str^"'");
   560 
   561 
   562 (* determine the next step of specification;
   563    not done here: Refine_Tacitly (otherwise *** unknown method: (..., no_met))
   564    eg. in rootpbl 'no_met': 
   565 args:
   566   preok          predicates are _all_ ok (and problem matches completely)
   567   oris           immediately from formalization 
   568   (dI',pI',mI')  specification coming from author/parent-problem
   569   (pbl,          item lists specified by user
   570    met)          -"-, tacitly completed by copy_probl
   571   (dI,pI,mI)     specification explicitly done by the user
   572   (pbt, mpc)     problem type, guard of method
   573 *)
   574 fun nxt_spec Pbl preok (oris : ori list) ((dI', pI', mI') : spec)
   575   ((pbl : itm list), (met : itm list)) (pbt, mpc) ((dI, pI, mI) : spec) = 
   576     ((*tracing"### nxt_spec Pbl";*)
   577      if dI' = e_domID andalso dI = e_domID then (Pbl, Specify_Theory dI')
   578      else if pI' = e_pblID andalso pI = e_pblID then (Pbl, Specify_Problem pI')
   579      else case find_first (is_error o #5) (pbl:itm list) of
   580 	      SOME (_, _, _, fd, itm_) => 
   581 	      (Pbl, mk_delete 
   582 	                (assoc_thy (if dI = e_domID then dI' else dI)) fd itm_)
   583 	    | NONE => 
   584 	      ((*tracing"### nxt_spec is_error NONE";*)
   585 	       case nxt_add (assoc_thy (if dI = e_domID then dI' else dI)) 
   586 		            oris pbt pbl of
   587 	           SOME (fd,ct') => ((*tracing"### nxt_spec nxt_add SOME";*)
   588 				     (Pbl, mk_additem fd ct'))
   589 	         | NONE => (*pbl-items complete*)
   590 	           if not preok then (Pbl, Refine_Problem pI')
   591 	           else
   592 		       if dI = e_domID then (Pbl, Specify_Theory dI')
   593 		       else if pI = e_pblID then (Pbl, Specify_Problem pI')
   594 		       else if mI = e_metID then (Pbl, Specify_Method mI')
   595 		       else
   596 			   case find_first (is_error o #5) met of
   597 			       SOME (_,_,_,fd,itm_) => 
   598 			       (Met, mk_delete (assoc_thy dI) fd itm_)
   599 			     | NONE => 
   600 			       (case nxt_add (assoc_thy dI) oris mpc met of
   601 				    SOME (fd,ct') => (*30.8.01: pre?!?*)
   602 				    (Met, mk_additem fd ct')
   603 				  | NONE => 
   604 				    ((*Solv 3.4.00*)Met, Apply_Method mI))))
   605 
   606   | nxt_spec Met preok oris (dI',pI',mI') (pbl, met) (pbt,mpc) (dI,pI,mI) = 
   607   ((*tracing"### nxt_spec Met"; *)
   608    case find_first (is_error o #5) met of
   609      SOME (_,_,_,fd,itm_) => 
   610 	 (Met, mk_delete (assoc_thy (if dI=e_domID then dI' else dI)) fd itm_)
   611    | NONE => 
   612        case nxt_add (assoc_thy (if dI=e_domID then dI' else dI))oris mpc met of
   613 	 SOME (fd,ct') => (Met, mk_additem fd ct')
   614        | NONE => 
   615 	   ((*tracing"### nxt_spec Met: nxt_add NONE";*)
   616 	    if dI = e_domID then (Met, Specify_Theory dI')
   617 	    else if pI = e_pblID then (Met, Specify_Problem pI')
   618 		 else if not preok then (Met, Specify_Method mI)
   619 		      else (Met, Apply_Method mI)));
   620 	  
   621 (* di_ pI_ mI_ pos_
   622 val itms = [(1,[1],true,"#Find",Cor(e_term,[e_term])):itm,
   623 	    (2,[2],true,"#Find",Syn("empty"))];
   624 *)
   625 
   626 fun is_field_correct sel d dscpbt =
   627   case assoc (dscpbt, sel) of
   628     NONE => false
   629   | SOME ds => member op = ds d;
   630 
   631 (*. update the itm_ already input, all..from ori .*)
   632 (* val (id,vt,fd,d,ts) = (i,v,f,d,ts\\ts');
   633    *)
   634 fun ori_2itm itm_ pid all ((id,vt,fd,d,ts):ori) = 
   635   let 
   636     val ts' = union op = (ts_in itm_) ts;
   637     val pval = pbl_ids' d ts'
   638 	(*WN.9.5.03: FIXXXME [#0, epsilon]
   639 	  here would upd_penv be called for [#0, epsilon] etc. *)
   640     val complete = if eq_set op = (ts', all) then true else false;
   641   in case itm_ of
   642     (Cor _) => 
   643 	(if fd = "#undef" then (id,vt,complete,fd,Sup(d,ts')) 
   644 	 else (id,vt,complete,fd,Cor((d,ts'),(pid, pval)))):itm
   645   | (Syn c)     => error ("ori_2itm wants to overwrite "^c)
   646   | (Typ c)     => error ("ori_2itm wants to overwrite "^c)
   647   | (Inc _) => if complete
   648 	       then (id,vt,true ,fd, Cor ((d,ts'),(pid, pval)))
   649 	       else (id,vt,false,fd, Inc ((d,ts'),(pid, pval)))
   650   | (Sup ((*_,_*)d,ts')) => (*4.9.01 lost env*)
   651 	 (*if fd = "#undef" then*) (id,vt,complete,fd,Sup(d,ts'))
   652 	 (*else (id,vt,complete,fd,Cor((d,ts'),e))*)
   653 (* 28.1.00: not completely clear ---^^^ etc.*)
   654 (* 4.9.01: Mis just copied---vvv *)
   655   | (Mis _) => if complete
   656 		     then (id,vt,true ,fd, Cor ((d,ts'),(pid, pval)))
   657 		     else (id,vt,false,fd, Inc ((d,ts'),(pid, pval)))
   658   end;
   659 
   660 
   661 fun eq1 d (_,(d',_)) = (d = d');
   662 fun eq3 f d (_,_,_,f',itm_) = f = f' andalso d = (d_in itm_); 
   663 
   664 
   665 (* 'all' ts from ori; ts is the input; (ori carries rest of info)
   666    9.01: this + ori_2itm is _VERY UNCLEAR_ ? overhead ?
   667    pval: value for problem-environment _NOT_ checked for 'inter' --
   668    -- FIXXME.WN.11.03 the generation of penv has to go to insert_ppc
   669   (as it has been done for input_icalhd+insert_ppc' in 11.03)*)
   670 (*. is_input ori itms <=> 
   671     EX itm. (1) ori(field,dsc) = itm(field,dsc) & (2..4)
   672             (2) ori(ts) subset itm(ts)        --- Err "already input"       
   673 	    (3) ori(ts) inter itm(ts) = empty --- new: ori(ts)
   674 	    (4) -"- <> empty                  --- new: ori(ts) \\ inter .*)
   675 (* val(itms,(i,v,f,d,ts)) = (ppc,ori');
   676    *)
   677 fun is_notyet_input ctxt (itms:itm list) all ((i,v,f,d,ts):ori) pbt =
   678   case find_first (eq1 d) pbt of
   679       SOME (_,(_,pid)) =>(* val SOME (_,(_,pid)) = find_first (eq1 d) pbt;
   680                             val SOME (_,_,_,_,itm_)=find_first (eq3 f d) itms;
   681 			   *)
   682       (case find_first (eq3 f d) itms of
   683 	   SOME (_,_,_,_,itm_) =>
   684 	   let 
   685 	       val ts' = inter op = (ts_in itm_) ts;
   686 	   in if subset op = (ts, ts') 
   687 	      then (((strs2str' o 
   688 		      map (Print_Mode.setmp [] (Syntax.string_of_term ctxt))) ts') ^
   689 		    " already input", e_itm)                            (*2*)
   690 	      else ("", 
   691                     ori_2itm itm_ pid all (i,v,f,d,
   692                                                subtract op = ts' ts))   (*3,4*)
   693 	   end
   694 	 | NONE => ("", ori_2itm (Inc ((e_term,[]),(pid,[]))) 
   695 				 pid all (i,v,f,d,ts))                  (*1*)
   696 	)
   697     | NONE => ("", ori_2itm (Sup (d,ts)) 
   698 			      e_term all (i,v,f,d,ts));
   699 
   700 fun test_types ctxt (d,ts) =
   701   let 
   702     (*val s = !show_types; val _ = show_types:= true;*)
   703     val opt = (try comp_dts) (d,ts);
   704     val msg = case opt of 
   705       SOME _ => "" 
   706     | NONE => ((Print_Mode.setmp [] (Syntax.string_of_term ctxt) d) ^
   707                " " ^
   708 	       ((strs2str' o map (Print_Mode.setmp [] (Syntax.string_of_term
   709                                                            ctxt))) ts)
   710 	     ^ " is illtyped");
   711     (*val _ = show_types:= s*)
   712   in msg end;
   713 
   714 
   715 
   716 fun maxl [] = error "maxl of []"
   717   | maxl (y::ys) =
   718   let fun mx x [] = x
   719 	| mx x (y::ys) = if x < (y:int) then mx y ys else mx x ys
   720   in mx y ys end;
   721 
   722 
   723 (*. is the input term t known in oris ? 
   724     give feedback on all(?) strange input;
   725     return _all_ terms already input to this item (e.g. valuesFor a,b) .*)
   726 (*WN.11.03: from lists*)
   727 fun is_known ctxt sel ori t =
   728 (* val (ori,t)=(oris,term_of ct);
   729    *)
   730   let
   731     val _ = tracing ("RM is_known: t=" ^ term2str t);
   732     val ots = (distinct o flat o (map #5)) (ori:ori list);
   733     val oids = ((map (fst o dest_Free)) o distinct o 
   734 		flat o (map vars)) ots;
   735     val (d,ts(*,pval*)) = split_dts t;
   736     val ids = map (fst o dest_Free) 
   737       ((distinct o (flat o (map vars))) ts);
   738   in if (subtract op = oids ids) <> []
   739      then (("identifiers "^(strs2str' (subtract op = oids ids))^
   740 	    " not in example"), e_ori_, [])
   741      else 
   742 	 if d = e_term 
   743 	 then 
   744 	     if not (subset op = (map typeless ts, map typeless ots))
   745 	     then (("terms '"^
   746 		    ((strs2str' o 
   747                       (map (Print_Mode.setmp [] (Syntax.string_of_term 
   748 					             ctxt)))) ts)^
   749 		    "' not in example (typeless)"), e_ori_, [])
   750 	     else (case seek_orits ctxt sel ts ori of
   751 		       ("", ori_ as (_,_,_,d,ts), all) =>
   752 		       (case test_types ctxt (d,ts) of
   753 			    "" => ("", ori_, all)
   754 			  | msg => (msg, e_ori_, []))
   755 		     | (msg,_,_) => (msg, e_ori_, []))
   756 	 else 
   757 	     if member op = (map #4 ori) d
   758 	     then seek_oridts ctxt sel (d,ts) ori
   759 	     else ((Print_Mode.setmp [] (Syntax.string_of_term ctxt) d) ^
   760 		   " not in example", (0, [], sel, d, ts), [])
   761   end;
   762 
   763 
   764 (*. for return-value of appl_add .*)
   765 datatype additm =
   766 	 Add of itm
   767        | Err of string;    (*error-message*)
   768 
   769 
   770 (** add an item to the model; check wrt. oris and pbt **)
   771 (* in contrary to oris<>[] below, this part handles user-input
   772    extremely acceptive, i.e. accept input instead error-msg *)
   773 fun appl_add ctxt sel [] ppc pbt ct =
   774       let
   775         val i = 1 + (if ppc = [] then 0 else map #1 ppc |> maxl);
   776       in case parseNEW ctxt ct of
   777           NONE => Add (i, [], false, sel, Syn ct)
   778         | SOME t =>
   779           let val (d, ts) = split_dts t;
   780           in if d = e_term then
   781             Add (i, [], false, sel, Mis (dsc_unknown, hd ts)) else
   782             (case find_first (eq1 d) pbt of
   783                 NONE => Add (i, [], true, sel, Sup (d,ts))
   784               | SOME (f, (_, id)) =>
   785                 let fun eq2 d (i, _, _, _, itm_) =
   786                           d = (d_in itm_) andalso i <> 0;
   787                 in case find_first (eq2 d) ppc of
   788                     NONE => Add (i, [], true, f,
   789                         Cor ((d, ts), (id, pbl_ids' d ts))
   790                       )
   791                   | SOME (i', _, _, _, itm_) => if is_list_dsc d then
   792                       let
   793                         val in_itm = ts_in itm_;
   794                         val ts' = union op = ts in_itm;
   795                         val i'' = if in_itm = [] then i else i';
   796                       in Add (i'', [], true, f,
   797                           Cor ((d, ts'), (id, pbl_ids' d ts'))
   798                         )
   799                       end else
   800                       Add (i', [], true, f, Cor ((d, ts),(id, pbl_ids' d ts)))
   801                 end)
   802             end
   803       end
   804   | appl_add ctxt sel oris ppc pbt str =
   805       case parseNEW ctxt str of
   806           NONE => Err ("appl_add: syntax error in '" ^ str ^ "'")
   807         | SOME t => case is_known ctxt sel oris t of
   808             ("", ori', all) => (case is_notyet_input ctxt ppc all ori' pbt of
   809               ("", itm) => Add itm
   810               | (msg, _) => Err ("[error] appl_add: is_notyet_input: " ^ msg))
   811           | (msg, _, _) => Err ("[error] appl_add: is_known: " ^ msg);
   812 (* 
   813 > val (msg,itm) = is_notyet_input thy ppc all ori';
   814 val itm = (12,[3],false,"#Relate",Cor (Const #,[#,#])) : itm
   815 > val itm_ = #5 itm;
   816 > val ts = ts_in itm_;
   817 > map (atomty) ts; 
   818 *)
   819 
   820 (** make oris from args of the stac SubProblem and from pbt **)
   821 
   822 (*.can this formal argument (of a model-pattern) be omitted in the arg-list
   823    of a SubProblem ? see ME/ptyps.sml 'type met '.*)
   824 fun is_copy_named_idstr str =
   825     case (rev o Symbol.explode) str of
   826 	"'":: _ ::"'"::_ => (tracing ((strs2str o (rev o Symbol.explode)) 
   827                                   "is_copy_named_idstr: " ^ str ^ " T"); true)
   828       | _ => (tracing ((strs2str o (rev o Symbol.explode)) 
   829                                   "is_copy_named_idstr: " ^ str ^ " F"); false);
   830 fun is_copy_named (_, (_, t)) = (is_copy_named_idstr o free2str) t;
   831 
   832 (*.should this formal argument (of a model-pattern) create a new identifier?.*)
   833 fun is_copy_named_generating_idstr str =
   834     if is_copy_named_idstr str
   835     then case (rev o Symbol.explode) str of
   836 	"'"::"'"::"'"::_ => false
   837       | _ => true
   838     else false;
   839 fun is_copy_named_generating (_, (_, t)) = 
   840     (is_copy_named_generating_idstr o free2str) t;
   841 
   842 (*.split type-wrapper from scr-arg and build part of an ori;
   843    an type-error is reported immediately, raises an exn, 
   844    subsequent handling of exn provides 2nd part of error message.*)
   845 fun mtc thy ((str, (dsc, _)):pat) (ty $ var) =
   846     (* val (thy, (str, (dsc, _)), (ty $ var)) =
   847 	   (thy,  p,               a);
   848        *)
   849     (cterm_of thy (dsc $ var);(*type check*)
   850      SOME ((([1], str, dsc, (*[var]*)
   851 	    split_dts' (dsc, var))): preori)(*:ori without leading #*))
   852     handle e as TYPE _ => 
   853 	   (tracing (dashs 70 ^ "\n"
   854 	^"*** ERROR while creating the items for the model of the ->problem\n"
   855 	^"*** from the ->stac with ->typeconstructor in arglist:\n"
   856 	^"*** item (->description ->value): "^term2str dsc^" "^term2str var^"\n"
   857 	^"*** description: "^(term_detail2str dsc)
   858 	^"*** value: "^(term_detail2str var)
   859 	^"*** typeconstructor in script: "^(term_detail2str ty)
   860 	^"*** checked by theory: "^(theory2str thy)^"\n"
   861 	^"*** " ^ dots 66);
   862 	    (*OldGoals.print_exn e; raises exn again*)
   863             writeln (PolyML.makestring e);
   864             reraise e;
   865 	(*raise ERROR "actual args do not match formal args";FIXXXME.WN100916*)
   866 	NONE);
   867 
   868 (*.match each pat of the model-pattern with an actual argument;
   869    precondition: copy-named vars are filtered out.*)
   870 fun matc thy ([]:pat list)  _  (oris:preori list) = oris
   871   | matc thy pbt [] _ =
   872     (tracing (dashs 70);
   873      error ("actual arg(s) missing for '"^pats2str pbt
   874 		 ^"' i.e. should be 'copy-named' by '*_._'"))
   875   | matc thy ((p as (s,(d,t)))::pbt) (a::ags) oris =
   876     (* val (thy, ((p as (s,(d,t)))::pbt), (a::ags), oris) =
   877 	   (thy,  pbt',                    ags,     []);
   878        (*recursion..*)
   879        val (thy, ((p as (s,(d,t)))::pbt), (a::ags), oris) =
   880 	   (thy,  pbt,                     ags,    (oris @ [ori]));
   881        *)
   882     (*del?..*)if (is_copy_named_idstr o free2str) t then oris
   883     else(*..del?*) let val opt = mtc thy p a;  
   884 	 in case opt of
   885 		(* val SOME ori = mtc thy p a;
   886 		   *)
   887 		SOME ori => matc thy pbt ags (oris @ [ori])
   888 	      | NONE => [](*WN050903 skipped by exn handled in match_ags*)
   889 	 end; 
   890 (* run subp-rooteq.sml until Init_Proof before ...
   891 > val Nd (PblObj {origin=(oris,_,_),...},_) = pt;(*from test/subp-rooteq.sml*)
   892 > fun xxxfortest (_,a,b,c,d) = (a,b,c,d);val oris = map xxxfortest oris;
   893 
   894  other vars as in mtc ..
   895 > matc thy (drop_last pbt) ags [];
   896 val it = ([[1],"#Given",Const #,[#]),(0,[#],"#Given",Const #,[#])],2)*)
   897 
   898 
   899 (* generate a new variable "x_i" name from a related given one "x"
   900    by use of oris relating "v_i_" (is_copy_named!) to "v_"
   901    e.g. (v_, x) & (v_i_, ?) --> (v_i_, x_i) *)
   902 
   903 (* generate a new variable "x_i" name from a related given one "x"
   904    by use of oris relating "v_v'i'" (is_copy_named!) to "v_v"
   905    e.g. (v_v, x) & (v_v'i', ?) --> (v_v'i', x_i),
   906    but leave is_copy_named_generating as is, e.t. ss''' *)
   907 fun cpy_nam (pbt:pat list) (oris:preori list) (p as (field,(dsc,t)):pat) =
   908   (if is_copy_named_generating p
   909    then (*WN051014 kept strange old code ...*)
   910        let fun sel (_,_,d,ts) = comp_ts (d, ts) 
   911 	   val cy' = (implode o (drop_last_n 3) o Symbol.explode o free2str) t
   912 	   val ext = (last_elem o drop_last o Symbol.explode o free2str) t
   913 	   val vars' = map (free2str o snd o snd) pbt (*cpy-nam filtered_out*)
   914 	   val vals = map sel oris
   915 	   val cy_ext = (free2str o the) (assoc (vars'~~vals, cy'))^"_"^ext
   916        in ([1], field, dsc, [mk_free (type_of t) cy_ext]):preori end
   917    else ([1], field, dsc, [t])
   918 	)
   919   handle _ => error ("cpy_nam: for "^(term2str t));
   920 
   921 (*.match the actual arguments of a SubProblem with a model-pattern
   922    and create an ori list (in root-pbl created from formalization).
   923    expects ags:pats = 1:1, while copy-named are filtered out of pats;
   924    if no 1:1 the exn raised by matc/mtc and handled at call.
   925    copy-named pats are appended in order to get them into the model-items.*)
   926 fun match_ags thy (pbt:pat list) ags =
   927     let fun flattup (i,(var,bool,str,itm_)) = (i,var,bool,str,itm_);
   928 	val pbt' = filter_out is_copy_named pbt;
   929 	val cy = filter is_copy_named pbt;
   930 	val oris' = matc thy pbt' ags [];
   931 	val cy' = map (cpy_nam pbt' oris') cy;
   932 	val ors = add_id (oris' @ cy'); 
   933     (*appended in order to get ^^^^^ into the model-items*)
   934     in (map flattup ors):ori list end;
   935 
   936 (*.report part of the error-msg which is not available in match_args.*)
   937 fun match_ags_msg pI stac ags =
   938     let (*val s = !show_types
   939 	val _ = show_types:= true*)
   940 	val pats = (#ppc o get_pbt) pI
   941 	val msg = (dots 70^"\n"
   942 		 ^"*** problem "^strs2str pI^" has the ...\n"
   943 		 ^"*** model-pattern "^pats2str pats^"\n"
   944 		 ^"*** stac   '"^term2str stac^"' has the ...\n"
   945 		 ^"*** arg-list "^terms2str ags^"\n"
   946 		 ^dashs 70)
   947 	(*WN100921 ^^^^ expect TYPE errormsg below; lost with Isa09*)
   948 	(*val _ = show_types:= s*)
   949     in tracing msg end;
   950 
   951 
   952 (*get the variables out of a pbl_; FIXME.WN.0311: is_copy_named ...obscure!!!*)
   953 fun vars_of_pbl_ pbl_ = 
   954     let fun var_of_pbl_ (gfr,(dsc,t)) = t
   955     in ((map var_of_pbl_) o (filter_out is_copy_named)) pbl_ end;
   956 fun vars_of_pbl_' pbl_ = 
   957     let fun var_of_pbl_ (gfr,(dsc,t)) = t:term
   958     in ((map var_of_pbl_)(* o (filter_out is_copy_named)*)) pbl_ end;
   959 
   960 fun overwrite_ppc thy itm ppc =
   961   let 
   962     fun repl ppc' (_,_,_,_,itm_) [] =
   963       error ("overwrite_ppc: " ^ (itm_2str_ (thy2ctxt thy) itm_) ^ 
   964                    " not found")
   965       | repl ppc' itm (p::ppc) =
   966 	if (#1 itm) = (#1 (p:itm)) then ppc' @ [itm] @ ppc
   967 	else repl (ppc' @ [p]) itm ppc
   968   in repl [] itm ppc end;
   969 
   970 (*10.3.00: insert the already compiled itm into model;
   971    ev. filter_out  untouched (in FE: (0,...)) item related to insert-item *)
   972 (* val ppc=pbl;
   973    *)
   974 fun insert_ppc thy itm ppc =
   975     let 
   976 	fun eq_untouched d ((0,_,_,_,itm_):itm) = (d = d_in itm_)
   977 	  | eq_untouched _ _ = false;
   978 	    val ppc' = 
   979 		(
   980 		 (*tracing("### insert_ppc: itm= "^(itm2str_ itm));*)       
   981 		 case seek_ppc (#1 itm) ppc of
   982 		     (* val SOME xxx = seek_ppc (#1 itm) ppc;
   983 		        *)
   984 		     SOME _ => (*itm updated in is_notyet_input WN.11.03*)
   985 		     overwrite_ppc thy itm ppc
   986 		   | NONE => (ppc @ [itm]));
   987     in filter_out (eq_untouched ((d_in o #5) itm)) ppc' end;
   988 
   989 (*from Isabelle/src/Pure/library.ML, _appends_ a new element*)
   990 fun gen_ins' eq (x, xs) = if gen_mem eq (x, xs) then xs else xs @ [x];
   991 
   992 fun eq_dsc ((_,_,_,_,itm_):itm, (_,_,_,_,iitm_):itm) = 
   993     (d_in itm_) = (d_in iitm_);
   994 (*insert_ppc = insert_ppc' for appl_add', input_icalhd 11.03,
   995     handles superfluous items carelessly*)
   996 fun insert_ppc' itm itms = gen_ins' eq_dsc (itm, itms);
   997 (* val eee = op=;
   998  > gen_ins' eee (4,[1,3,5,7]);
   999 val it = [1, 3, 5, 7, 4] : int list*)
  1000 
  1001 
  1002 (*. output the headline to a ppc .*)
  1003 fun header p_ pI mI =
  1004     case p_ of Pbl => Problem (if pI = e_pblID then [] else pI) 
  1005 	     | Met => Method mI
  1006 	     | pos => error ("header called with "^ pos_2str pos);
  1007 
  1008 
  1009 fun specify_additem sel (ct,_) (p,Met) c pt = 
  1010     let
  1011       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1012 		  probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1013       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1014     (*val ppt = if pI = e_pblID then get_pbt pI' else get_pbt pI;*)
  1015       val cpI = if pI = e_pblID then pI' else pI;
  1016       val cmI = if mI = e_metID then mI' else mI;
  1017       val {ppc,pre,prls,...} = get_met cmI;
  1018       val ctxt = get_ctxt pt (p,Met);
  1019     in case appl_add ctxt sel oris met ppc ct of
  1020       Add itm (*..union old input *) =>
  1021 	let (* val Add itm = appl_add thy sel oris met (#ppc (get_met cmI)) ct;
  1022                *)
  1023 	  val met' = insert_ppc thy itm met;
  1024 	  (*val pt' = update_met pt p met';*)
  1025 	  val ((p,Met),_,_,pt') = 
  1026 	      generate1 thy (case sel of
  1027 				 "#Given" => Add_Given' (ct, met')
  1028 			       | "#Find"  => Add_Find'  (ct, met')
  1029 			       | "#Relate"=> Add_Relation'(ct, met')) 
  1030 			(Uistate, e_ctxt) (p,Met) pt
  1031 	  val pre' = check_preconds thy prls pre met'
  1032 	  val pb = foldl and_ (true, map fst pre')
  1033 	  (*val _=tracing("@@@ specify_additem: Met Add before nxt_spec")*)
  1034 	  val (p_,nxt) =
  1035 	    nxt_spec Met pb oris (dI',pI',mI') (pbl,met') 
  1036 	    ((#ppc o get_pbt) cpI,ppc) (dI,pI,mI);
  1037 	in ((p,p_), ((p,p_),Uistate),
  1038 	    Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1039 			  (Method cmI, itms2itemppc thy met' pre'))),
  1040 	    nxt,Safe,pt') end
  1041     | Err msg =>
  1042 	  let val pre' = check_preconds thy prls pre met
  1043 	      val pb = foldl and_ (true, map fst pre')
  1044 	    (*val _=tracing("@@@ specify_additem: Met Err before nxt_spec")*)
  1045 	      val (p_,nxt) =
  1046 	    nxt_spec Met pb oris (dI',pI',mI') (pbl,met) 
  1047 	    ((#ppc o get_pbt) cpI,(#ppc o get_met) cmI) (dI,pI,mI);
  1048 	  in ((p,p_), ((p,p_),Uistate), Error' (Error_ msg), nxt, Safe,pt) end
  1049     end
  1050 (* val (p,_) = p;
  1051    *)
  1052 | specify_additem sel (ct,_) (pos as (p,_(*Frm, Pbl*))) c pt = 
  1053     let
  1054       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1055 		  probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1056       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1057       val cpI = if pI = e_pblID then pI' else pI;
  1058       val cmI = if mI = e_metID then mI' else mI;
  1059       val {ppc,where_,prls,...} = get_pbt cpI;
  1060       val ctxt = get_ctxt pt pos;
  1061     in case appl_add ctxt sel oris pbl ppc ct of
  1062       Add itm (*..union old input *) =>
  1063       (* val Add itm = appl_add thy sel oris pbl ppc ct;
  1064          *)
  1065 	let
  1066 	    (*val _= tracing("###specify_additem: itm= "^(itm2str_ itm));*)
  1067 	  val pbl' = insert_ppc thy itm pbl
  1068 	  val ((p,Pbl),_,_,pt') = 
  1069 	      generate1 thy (case sel of
  1070 				 "#Given" => Add_Given' (ct, pbl')
  1071 			       | "#Find"  => Add_Find'  (ct, pbl')
  1072 			       | "#Relate"=> Add_Relation'(ct, pbl')) 
  1073 			(Uistate, e_ctxt) (p,Pbl) pt
  1074 	  val pre = check_preconds thy prls where_ pbl'
  1075 	  val pb = foldl and_ (true, map fst pre)
  1076 	(*val _=tracing("@@@ specify_additem: Pbl Add before nxt_spec")*)
  1077 	  val (p_,nxt) =
  1078 	    nxt_spec Pbl pb oris (dI',pI',mI') (pbl',met) 
  1079 		     (ppc,(#ppc o get_met) cmI) (dI,pI,mI);
  1080 	  val ppc = if p_= Pbl then pbl' else met;
  1081 	in ((p,p_), ((p,p_),Uistate),
  1082 	    Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1083 			  (header p_ pI cmI,
  1084 			   itms2itemppc thy ppc pre))), nxt,Safe,pt') end
  1085 
  1086     | Err msg =>
  1087 	  let val pre = check_preconds thy prls where_ pbl
  1088 	      val pb = foldl and_ (true, map fst pre)
  1089 	    (*val _=tracing("@@@ specify_additem: Pbl Err before nxt_spec")*)
  1090 	      val (p_,nxt) =
  1091 	    nxt_spec Pbl pb oris (dI',pI',mI') (pbl,met) 
  1092 	    (ppc,(#ppc o get_met) cmI) (dI,pI,mI);
  1093 	  in ((p,p_), ((p,p_),Uistate), Error' (Error_ msg), nxt, Safe,pt) end
  1094     end;
  1095 (* val sel = "#Find"; val (p,_) = p; val Add_Find' ct = nxt;
  1096    val (_,_,f,nxt',_,pt')= specify_additem sel ct (p,Met) c pt;
  1097   *)
  1098 
  1099 (* ori
  1100 val (msg,itm) = appl_add thy sel oris ppc ct;
  1101 val (Cor(d,ts)) = #5 itm;
  1102 map (atomty) ts;
  1103 
  1104 pre
  1105 *)
  1106 
  1107 
  1108 (* val Init_Proof' (fmz,(dI',pI',mI')) = m;
  1109    specify (Init_Proof' (fmz,(dI',pI',mI'))) e_pos' [] EmptyPtree;
  1110    *)
  1111 fun specify (Init_Proof' (fmz,(dI',pI',mI'))) (_:pos') (_:cid) (_:ptree)= 
  1112   let          (* either """"""""""""""" all empty or complete *)
  1113     val thy = assoc_thy dI';
  1114     val (oris, ctxt) = if dI' = e_domID orelse pI' = e_pblID then ([], e_ctxt)
  1115 	       else pI' |> #ppc o get_pbt |> prep_ori fmz thy;
  1116     val (pt,c) = cappend_problem e_ptree [] (e_istate, ctxt) (fmz,(dI',pI',mI'))
  1117 				 (oris,(dI',pI',mI'),e_term);
  1118     val {ppc,prls,where_,...} = get_pbt pI'
  1119     (*val pbl = init_pbl ppc;  WN.9.03: done in Model/Refine_Problem
  1120     val pt = update_pbl pt [] pbl;
  1121     val pre = check_preconds thy prls where_ pbl
  1122     val pb = foldl and_ (true, map fst pre)*)
  1123     val (pbl, pre, pb) = ([], [], false)
  1124   in case mI' of
  1125 	 ["no_met"] => 
  1126 	 (([],Pbl), (([],Pbl),Uistate),
  1127 	  Form' (PpcKF (0,EdUndef,(length []),Nundef,
  1128 			(Problem [], itms2itemppc (assoc_thy dI') pbl pre))),
  1129 	  Refine_Tacitly pI', Safe,pt)
  1130        | _ => 
  1131 	 (([],Pbl), (([],Pbl),Uistate),
  1132 	  Form' (PpcKF (0,EdUndef,(length []),Nundef,
  1133 			(Problem [], itms2itemppc (assoc_thy dI') pbl pre))),
  1134 	  Model_Problem,
  1135 	  Safe,pt)
  1136   end
  1137   (*ONLY for STARTING modeling phase*)
  1138   | specify (Model_Problem' (_,pbl,met)) (pos as (p,p_)) c pt =
  1139   let (* val (Model_Problem' (_,pbl), pos as (p,p_)) = (m, (p,p_));
  1140          *)
  1141     val (PblObj{origin=(oris,(dI',pI',mI'),_), spec=(dI,_,_),...}) = 
  1142 	get_obj I pt p
  1143     val thy' = if dI = e_domID then dI' else dI
  1144     val thy = assoc_thy thy'
  1145     val {ppc,prls,where_,...} = get_pbt pI'
  1146     val pre = check_preconds thy prls where_ pbl
  1147     val pb = foldl and_ (true, map fst pre)
  1148     val ((p,_),_,_,pt) = 
  1149 	generate1 thy (Model_Problem'([],pbl,met)) (Uistate, e_ctxt) pos pt
  1150     val (_,nxt) = nxt_spec Pbl pb oris (dI',pI',mI') (pbl,met) 
  1151 		(ppc,(#ppc o get_met) mI') (dI',pI',mI');
  1152   in ((p,Pbl), ((p,p_),Uistate),
  1153       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1154 		    (Problem pI', itms2itemppc (assoc_thy dI') pbl pre))),
  1155       nxt, Safe, pt) end
  1156 
  1157 (*. called only if no_met is specified .*)     
  1158   | specify (Refine_Tacitly' (pI,pIre,_,_,_)) (pos as (p,_)) c pt =
  1159   let (* val Refine_Tacitly' (pI,pIre,_,_,_) = m;
  1160          *)
  1161     val (PblObj{origin=(oris,(dI',pI',mI'),_), meth=met, ...}) = 
  1162 	get_obj I pt p;
  1163     val {prls,met,ppc,thy,where_,...} = get_pbt pIre
  1164     (*val pbl = init_pbl ppc --- Model_Problem recognizes probl=[]*)
  1165     (*val pt = update_pbl pt p pbl;
  1166     val pt = update_orispec pt p 
  1167 		(string_of_thy thy, pIre, 
  1168 		 if length met = 0 then e_metID else hd met);*)
  1169     val (domID, metID) = (string_of_thy thy, 
  1170 		      if length met = 0 then e_metID else hd met)
  1171     val ((p,_),_,_,pt) = 
  1172 	generate1 thy (Refine_Tacitly'(pI,pIre,domID,metID,(*pbl*)[])) 
  1173 		  (Uistate, e_ctxt) pos pt
  1174     (*val pre = check_preconds thy prls where_ pbl
  1175     val pb = foldl and_ (true, map fst pre)*)
  1176     val (pbl, pre, pb) = ([], [], false)
  1177   in ((p,Pbl), (pos,Uistate),
  1178       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1179 		    (Problem pIre, itms2itemppc (assoc_thy dI') pbl pre))),
  1180       Model_Problem, Safe, pt) end
  1181 
  1182   | specify (Refine_Problem' (rfd as (pI,_))) pos c pt =
  1183     let val (pos,_,_,pt) = generate1 (assoc_thy "Isac") 
  1184 				     (Refine_Problem' rfd) (Uistate, e_ctxt) pos pt
  1185     in (pos(*p,Pbl*), (pos(*p,Pbl*),Uistate), Problems (RefinedKF rfd), 
  1186 	Model_Problem, Safe, pt) end
  1187 
  1188 (* val (Specify_Problem' (pI, (ok, (itms, pre)))) = nxt; val (p,_) = p;
  1189    val (Specify_Problem' (pI, (ok, (itms, pre)))) = m; val (p,_) = p;
  1190    *)
  1191   | specify (Specify_Problem' (pI, (ok, (itms, pre)))) (pos as (p,_)) c pt =
  1192   let val (PblObj {origin=(oris,(dI',pI',mI'),_), spec=(dI,_,mI), 
  1193 		   meth=met, ...}) = get_obj I pt p;
  1194     (*val pt = update_pbl pt p itms;
  1195     val pt = update_pblID pt p pI;*)
  1196     val thy = assoc_thy dI
  1197     val ((p,Pbl),_,_,pt)= 
  1198 	generate1 thy (Specify_Problem' (pI, (ok, (itms, pre)))) (Uistate, e_ctxt) pos pt
  1199     val dI'' = assoc_thy (if dI=e_domID then dI' else dI);
  1200     val mI'' = if mI=e_metID then mI' else mI;
  1201   (*val _=tracing("@@@ specify (Specify_Problem) before nxt_spec")*)
  1202     val (_,nxt) = nxt_spec Pbl ok oris (dI',pI',mI') (itms, met) 
  1203 		((#ppc o get_pbt) pI,(#ppc o get_met) mI'') (dI,pI,mI);
  1204   in ((p,Pbl), (pos,Uistate),
  1205       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1206 		    (Problem pI, itms2itemppc dI'' itms pre))),
  1207       nxt, Safe, pt) end    
  1208 (* val Specify_Method' mID = nxt; val (p,_) = p;
  1209    val Specify_Method' mID = m;
  1210    specify (Specify_Method' mID) (p,p_) c pt;
  1211    *)
  1212   | specify (Specify_Method' (mID,_,_)) (pos as (p,_)) c pt =
  1213   let val (PblObj {origin=(oris,(dI',pI',mI'),_), probl=pbl, spec=(dI,pI,mI), 
  1214 		   meth=met, ...}) = get_obj I pt p;
  1215     val {ppc,pre,prls,...} = get_met mID
  1216     val thy = assoc_thy dI
  1217     val oris = add_field' thy ppc oris;
  1218     (*val pt = update_oris pt p oris; 20.3.02: repl. "#undef"*)
  1219     val dI'' = if dI=e_domID then dI' else dI;
  1220     val pI'' = if pI = e_pblID then pI' else pI;
  1221     val met = if met=[] then pbl else met;
  1222     val (ok, (itms, pre')) = match_itms_oris thy met (ppc,pre,prls ) oris;
  1223     (*val pt = update_met pt p itms;
  1224     val pt = update_metID pt p mID*)
  1225     val (pos,_,_,pt)= 
  1226 	generate1 thy (Specify_Method' (mID, oris, itms)) (Uistate, e_ctxt) pos pt
  1227     (*val _=tracing("@@@ specify (Specify_Method) before nxt_spec")*)
  1228     val (_,nxt) = nxt_spec Met (*ok*)true oris (dI',pI',mI') (pbl, itms) 
  1229 		((#ppc o get_pbt) pI'',ppc) (dI'',pI'',mID);
  1230   in (pos, (pos,Uistate),
  1231       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1232 		    (Method mID, itms2itemppc (assoc_thy dI'') itms pre'))),
  1233       nxt, Safe, pt) end    
  1234 (* val Add_Find' ct = nxt; val sel = "#Find"; 
  1235    *)
  1236   | specify (Add_Given' ct) p c pt = specify_additem "#Given" ct p c pt
  1237   | specify (Add_Find'  ct) p c pt = specify_additem "#Find"  ct p c pt
  1238   | specify (Add_Relation' ct) p c pt=specify_additem"#Relate"ct p c pt
  1239 (* val Specify_Theory' domID = m;
  1240    val (Specify_Theory' domID, (p,p_)) = (m, pos);
  1241    *)
  1242   | specify (Specify_Theory' domID) (pos as (p,p_)) c pt =
  1243     let val p_ = case p_ of Met => Met | _ => Pbl
  1244       val thy = assoc_thy domID;
  1245       val (PblObj{origin=(oris,(dI',pI',mI'),_), meth=met,
  1246 		  probl=pbl, spec=(dI,pI,mI),...}) = get_obj I pt p;
  1247       val mppc = case p_ of Met => met | _ => pbl;
  1248       val cpI = if pI = e_pblID then pI' else pI;
  1249       val {prls=per,ppc,where_=pwh,...} = get_pbt cpI
  1250       val cmI = if mI = e_metID then mI' else mI;
  1251       val {prls=mer,ppc=mpc,pre=mwh,...} = get_met cmI
  1252       val pre = 
  1253 	  case p_ of
  1254 	      Met => (check_preconds thy mer mwh met)
  1255 	    | _ => (check_preconds thy per pwh pbl)
  1256       val pb = foldl and_ (true, map fst pre)
  1257     in if domID = dI
  1258        then let 
  1259 	 (*val _=tracing("@@@ specify (Specify_Theory) THEN before nxt_spec")*)
  1260            val (p_,nxt) = nxt_spec p_ pb oris (dI',pI',mI') 
  1261 				   (pbl,met) (ppc,mpc) (dI,pI,mI);
  1262 	      in ((p,p_), (pos,Uistate), 
  1263 		  Form'(PpcKF (0,EdUndef,(length p), Nundef,
  1264 			       (header p_ pI cmI, itms2itemppc thy mppc pre))),
  1265 		  nxt,Safe,pt) end
  1266        else (*FIXME: check ppc wrt. (new!) domID ..? still parsable?*)
  1267 	 let 
  1268 	   (*val pt = update_domID pt p domID;11.8.03*)
  1269 	   val ((p,p_),_,_,pt) = generate1 thy (Specify_Theory' domID) 
  1270 					   (Uistate, e_ctxt) (p,p_) pt
  1271 	 (*val _=tracing("@@@ specify (Specify_Theory) ELSE before nxt_spec")*)
  1272 	   val (p_,nxt) = nxt_spec p_ pb oris (dI',pI',mI') (pbl,met) 
  1273 				   (ppc,mpc) (domID,pI,mI);
  1274 	 in ((p,p_), (pos,Uistate), 
  1275 	     Form' (PpcKF (0, EdUndef, (length p),Nundef,
  1276 			   (header p_ pI cmI, itms2itemppc thy mppc pre))),
  1277 	     nxt, Safe,pt) end
  1278     end
  1279 (* itms2itemppc thy [](*mpc*) pre
  1280    *)
  1281   | specify m' _ _ _ = 
  1282     error ("specify: not impl. for "^tac_2str m');
  1283 
  1284 (* val (sel, Add_Given ct, ptp as (pt,(p,Pbl))) = ("#Given", tac, ptp);
  1285    val (sel, Add_Find  ct, ptp as (pt,(p,Pbl))) = ("#Find", tac, ptp);
  1286    *)
  1287 fun nxt_specif_additem sel ct (ptp as (pt, (p, Pbl))) = 
  1288     let
  1289       val (PblObj{meth=met,origin=(oris,(dI',pI',_),_),
  1290 		  probl=pbl,spec=(dI,pI,_),...}) = get_obj I pt p;
  1291       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1292       val cpI = if pI = e_pblID then pI' else pI;
  1293       val ctxt = get_ctxt pt (p, Pbl);
  1294     in case appl_add ctxt sel oris pbl ((#ppc o get_pbt) cpI) ct of
  1295 	   Add itm (*..union old input *) =>
  1296 (* val Add itm = appl_add thy sel oris pbl ppc ct;
  1297    *)
  1298 	   let
  1299 	       (*val _=tracing("###nxt_specif_additem: itm= "^(itm2str_ itm));*)
  1300 	       val pbl' = insert_ppc thy itm pbl
  1301 	       val (tac,tac_) = 
  1302 		   case sel of
  1303 		       "#Given" => (Add_Given    ct, Add_Given'   (ct, pbl'))
  1304 		     | "#Find"  => (Add_Find     ct, Add_Find'    (ct, pbl'))
  1305 		     | "#Relate"=> (Add_Relation ct, Add_Relation'(ct, pbl'))
  1306 	       val ((p,Pbl),c,_,pt') = 
  1307 		   generate1 thy tac_ (Uistate, e_ctxt) (p,Pbl) pt
  1308 	   in ([(tac,tac_,((p,Pbl),(Uistate, e_ctxt)))], c, (pt',(p,Pbl))):calcstate' end
  1309 	       
  1310 	 | Err msg => 
  1311 	   (*TODO.WN03 pass error-msgs to the frontend..
  1312              FIXME ..and dont abuse a tactic for that purpose*)
  1313 	   ([(Tac msg,
  1314 	      Tac_ (Thy_Info.get_theory "Pure", msg,msg,msg),
  1315 	      (e_pos', (e_istate, e_ctxt)))], [], ptp) 
  1316     end
  1317 
  1318 (* val sel = "#Find"; val (p,_) = p; val Add_Find' ct = nxt;
  1319    val (_,_,f,nxt',_,pt')= nxt_specif_additem sel ct (p,Met) c pt;
  1320   *)
  1321   | nxt_specif_additem sel ct (ptp as (pt,(p,Met))) = 
  1322     let
  1323       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1324 		  probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1325       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1326       val cmI = if mI = e_metID then mI' else mI;
  1327       val ctxt = get_ctxt pt (p,Met);
  1328     in case appl_add ctxt sel oris met ((#ppc o get_met) cmI) ct of
  1329       Add itm (*..union old input *) =>
  1330 	let (* val Add itm = appl_add thy sel oris met (#ppc (get_met cmI)) ct;
  1331                *)
  1332 	  val met' = insert_ppc thy itm met;
  1333 	  val (tac,tac_) = 
  1334 	      case sel of
  1335 		  "#Given" => (Add_Given    ct, Add_Given'   (ct, met'))
  1336 		| "#Find"  => (Add_Find     ct, Add_Find'    (ct, met'))
  1337 		| "#Relate"=> (Add_Relation ct, Add_Relation'(ct, met'))
  1338 	  val ((p,Met),c,_,pt') = 
  1339 	      generate1 thy tac_ (Uistate, e_ctxt) (p,Met) pt
  1340 	in ([(tac,tac_,((p,Met), (Uistate, e_ctxt)))], c, (pt',(p,Met))) end
  1341 
  1342     | Err msg => ([(*tacis*)], [], ptp) 
  1343     (*nxt_me collects tacis until not hide; here just no progress*)
  1344     end;
  1345 
  1346 (* ori
  1347 val (msg,itm) = appl_add thy sel oris ppc ct;
  1348 val (Cor(d,ts)) = #5 itm;
  1349 map (atomty) ts;
  1350 
  1351 pre
  1352 *)
  1353 fun ori2Coritm pbt ((i,v,f,d,ts):ori) =
  1354     (i,v,true,f, Cor ((d,ts),(((snd o snd o the o (find_first (eq1 d))) pbt) 
  1355 			      handle _ => error ("ori2Coritm: dsc "^
  1356 						term2str d^
  1357 						"in ori, but not in pbt")
  1358 			      ,ts))):itm;
  1359 fun ori2Coritm (pbt:pat list) ((i,v,f,d,ts):ori) =
  1360     ((i,v,true,f, Cor ((d,ts),((snd o snd o the o 
  1361 			       (find_first (eq1 d))) pbt,ts))):itm)
  1362     handle _ => (*dsc in oris, but not in pbl pat list: keep this dsc*)
  1363     ((i,v,true,f, Cor ((d,ts),(d,ts))):itm);
  1364 
  1365 
  1366 (*filter out oris which have same description in itms*)
  1367 fun filter_outs oris [] = oris
  1368   | filter_outs oris (i::itms) = 
  1369     let val ors = filter_out ((curry op= ((d_in o #5) (i:itm))) o 
  1370 			      (#4:ori -> term)) oris;
  1371     in filter_outs ors itms end;
  1372 
  1373 fun memI a b = member op = a b;
  1374 (*filter oris which are in pbt, too*)
  1375 fun filter_pbt oris pbt =
  1376     let val dscs = map (fst o snd) pbt
  1377     in filter ((memI dscs) o (#4: ori -> term)) oris end;
  1378 
  1379 (*.combine itms from pbl + met and complete them wrt. pbt.*)
  1380 (*FIXXXME.WN031205 complete_metitms doesnt handle incorrect itms !*)
  1381 local infix mem;
  1382 fun x mem [] = false
  1383   | x mem (y :: ys) = x = y orelse x mem ys;
  1384 in 
  1385 fun complete_metitms (oris:ori list) (pits:itm list) (mits:itm list) met = 
  1386 (* val met = (#ppc o get_met) ["DiffApp","max_by_calculus"];
  1387    *)
  1388     let val vat = max_vt pits;
  1389         val itms = pits @ 
  1390 		   (filter ((curry (op mem) vat) o (#2:itm -> int list)) mits);
  1391 	val ors = filter ((curry (op mem) vat) o (#2:ori -> int list)) oris;
  1392         val os = filter_outs ors itms;
  1393     (*WN.12.03?: does _NOT_ add itms from met ?!*)
  1394     in itms @ (map (ori2Coritm met) os) end
  1395 end;
  1396 
  1397 
  1398 
  1399 (*.complete model and guard of a calc-head .*)
  1400 local infix mem;
  1401 fun x mem [] = false
  1402   | x mem (y :: ys) = x = y orelse x mem ys;
  1403 in 
  1404 fun complete_mod_ (oris, mpc, ppc, probl) =
  1405     let	val pits = filter_out ((curry op= false) o (#3: itm -> bool)) probl
  1406 	val vat = if probl = [] then 1 else max_vt probl
  1407 	val pors = filter ((curry (op mem) vat) o (#2:ori -> int list)) oris
  1408 	val pors = filter_outs pors pits (*which are in pbl already*)
  1409         val pors = (filter_pbt pors ppc) (*which are in pbt, too*)
  1410 
  1411 	val pits = pits @ (map (ori2Coritm ppc) pors)
  1412 	val mits = complete_metitms oris pits [] mpc
  1413     in (pits, mits) end
  1414 end;
  1415 
  1416 fun some_spec ((odI, opI, omI):spec) ((dI, pI, mI):spec) =
  1417     (if dI = e_domID then odI else dI,
  1418      if pI = e_pblID then opI else pI,
  1419      if mI = e_metID then omI else mI):spec;
  1420 
  1421 
  1422 (*.find a next applicable tac (for calcstate) and update ptree
  1423  (for ev. finding several more tacs due to hide).*)
  1424 (*FIXXXME: unify ... fun nxt_specif = nxt_spec + applicable_in + specify !!*)
  1425 (*WN.24.10.03        ~~~~~~~~~~~~~~   -> tac     -> tac_      -> -"- as arg*)
  1426 (*WN.24.10.03        fun nxt_solv   = ...................................??*)
  1427 fun nxt_specif (tac as Model_Problem) (pt, pos as (p,p_)) =
  1428   let
  1429     val PblObj {origin = (oris, ospec, _), probl, spec, ...} = get_obj I pt p
  1430     val (dI, pI, mI) = some_spec ospec spec
  1431     val thy = assoc_thy dI
  1432     val mpc = (#ppc o get_met) mI (* just for reuse complete_mod_ *)
  1433     val {cas, ppc, ...} = get_pbt pI
  1434     val pbl = init_pbl ppc (* fill in descriptions *)
  1435     (*----------------if you think, this should be done by the Dialog 
  1436      in the java front-end, search there for WN060225-modelProblem----*)
  1437     val (pbl, met) = case cas of NONE => (pbl, [])
  1438 			    | _ => complete_mod_ (oris, mpc, ppc, probl)
  1439     (*----------------------------------------------------------------*)
  1440     val tac_ = Model_Problem' (pI, pbl, met)
  1441     val (pos,c,_,pt) = generate1 thy tac_ (Uistate, e_ctxt) pos pt
  1442   in ([(tac,tac_, (pos, (Uistate, e_ctxt)))], c, (pt,pos)):calcstate' end
  1443 
  1444 (* val Add_Find ct = tac;
  1445    *)
  1446   | nxt_specif (Add_Given ct) ptp = nxt_specif_additem "#Given" ct ptp
  1447   | nxt_specif (Add_Find  ct) ptp = nxt_specif_additem "#Find"  ct ptp
  1448   | nxt_specif (Add_Relation ct) ptp = nxt_specif_additem"#Relate" ct ptp
  1449 
  1450 (*. called only if no_met is specified .*)     
  1451   | nxt_specif (Refine_Tacitly pI) (ptp as (pt, pos as (p,_))) =
  1452     let val (PblObj {origin = (oris, (dI,_,_),_), ...}) = get_obj I pt p
  1453 	val opt = refine_ori oris pI
  1454     in case opt of
  1455 	   SOME pI' => 
  1456 	   let val {met,ppc,...} = get_pbt pI'
  1457 	       val pbl = init_pbl ppc
  1458 	       (*val pt = update_pbl pt p pbl ..done by Model_Problem*)
  1459 	       val mI = if length met = 0 then e_metID else hd met
  1460                val thy = assoc_thy dI
  1461 	       val (pos,c,_,pt) = 
  1462 		   generate1 thy (Refine_Tacitly' (pI,pI',dI,mI,(*pbl*)[])) 
  1463 			     (Uistate, e_ctxt) pos pt
  1464 	   in ([(Refine_Tacitly pI, Refine_Tacitly' (pI,pI',dI,mI,(*pbl*)[]),
  1465 		 (pos, (Uistate, e_ctxt)))], c, (pt,pos)) end
  1466 	 | NONE => ([], [], ptp)
  1467     end
  1468 
  1469   | nxt_specif (Refine_Problem pI) (ptp as (pt, pos as (p,_))) =
  1470     let val (PblObj {origin=(_,(dI,_,_),_),spec=(dI',_,_),
  1471 		     probl, ...}) = get_obj I pt p
  1472 	val thy = if dI' = e_domID then dI else dI'
  1473     in case refine_pbl (assoc_thy thy) pI probl of
  1474 	   NONE => ([], [], ptp)
  1475 	 | SOME (rfd as (pI',_)) => 
  1476 	   let val (pos,c,_,pt) = 
  1477 		   generate1 (assoc_thy thy) 
  1478 			     (Refine_Problem' rfd) (Uistate, e_ctxt) pos pt
  1479 	    in ([(Refine_Problem pI, Refine_Problem' rfd,
  1480 			    (pos, (Uistate, e_ctxt)))], c, (pt,pos)) end
  1481     end
  1482 
  1483   | nxt_specif (Specify_Problem pI) (pt, pos as (p,_)) =
  1484     let val (PblObj {origin=(oris,(dI,_,_),_),spec=(dI',pI',_),
  1485 		     probl, ...}) = get_obj I pt p;
  1486 	val thy = assoc_thy (if dI' = e_domID then dI else dI');
  1487         val {ppc,where_,prls,...} = get_pbt pI
  1488 	val pbl as (_,(itms,_)) = 
  1489 	    if pI'=e_pblID andalso pI=e_pblID
  1490 	    then (false, (init_pbl ppc, []))
  1491 	    else match_itms_oris thy probl (ppc,where_,prls) oris(*FIXXXXXME?*)
  1492 	(*FIXXXME~~~~~~~~~~~~~~~: take pbl and compare with new pI WN.8.03*)
  1493 	val ((p,Pbl),c,_,pt)= 
  1494 	    generate1 thy (Specify_Problem' (pI, pbl)) (Uistate, e_ctxt) pos pt
  1495     in ([(Specify_Problem pI, Specify_Problem' (pI, pbl),
  1496 		    (pos,(Uistate, e_ctxt)))], c, (pt,pos)) end
  1497 
  1498   (*transfers oris (not required in pbl) to met-model for script-env
  1499     FIXME.WN.8.03: application of several mIDs to SAME model?*)
  1500   | nxt_specif (Specify_Method mID) (ptp as (pt, pos as (p,_))) = 
  1501   let val (PblObj {origin=(oris,(dI',pI',mI'),_), probl=pbl, spec=(dI,pI,mI), 
  1502 		   meth=met, ...}) = get_obj I pt p;
  1503     val {ppc,pre,prls,...} = get_met mID
  1504     val thy = assoc_thy dI
  1505     val oris = add_field' thy ppc oris;
  1506     val dI'' = if dI=e_domID then dI' else dI;
  1507     val pI'' = if pI = e_pblID then pI' else pI;
  1508     val met = if met=[] then pbl else met;(*WN0602 what if more itms in met?*)
  1509     val (ok, (itms, pre')) = match_itms_oris thy met (ppc,pre,prls ) oris;
  1510     val (pos,c,_,pt)= 
  1511 	generate1 thy (Specify_Method' (mID, oris, itms)) (Uistate, e_ctxt) pos pt
  1512   in ([(Specify_Method mID, Specify_Method' (mID, oris, itms),
  1513 		  (pos,(Uistate, e_ctxt)))], c, (pt,pos)) end    
  1514 
  1515   | nxt_specif (Specify_Theory dI) (pt, pos as (p,Pbl)) =
  1516     let val (dI',_,_) = get_obj g_spec pt p
  1517 	val (pos,c,_,pt) = 
  1518 	    generate1 (assoc_thy "Isac") (Specify_Theory' dI) 
  1519 		      (Uistate, e_ctxt) pos pt
  1520     in  (*FIXXXME: check if pbl can still be parsed*)
  1521 	([(Specify_Theory dI, Specify_Theory' dI, (pos,(Uistate, e_ctxt)))], c,
  1522 	 (pt, pos)) end
  1523 
  1524   | nxt_specif (Specify_Theory dI) (pt, pos as (p,Met)) =
  1525     let val (dI',_,_) = get_obj g_spec pt p
  1526 	val (pos,c,_,pt) = 
  1527 	    generate1 (assoc_thy "Isac") (Specify_Theory' dI) 
  1528 		      (Uistate, e_ctxt) pos pt
  1529     in  (*FIXXXME: check if met can still be parsed*)
  1530 	([(Specify_Theory dI, Specify_Theory' dI, (pos,(Uistate, e_ctxt)))], c,
  1531 	 (pt, pos)) end
  1532 
  1533   | nxt_specif m' _ = 
  1534     error ("nxt_specif: not impl. for "^tac2str m');
  1535 
  1536 (*.get the values from oris; handle the term list w.r.t. penv.*)
  1537 
  1538 local infix mem;
  1539 fun x mem [] = false
  1540   | x mem (y :: ys) = x = y orelse x mem ys;
  1541 in 
  1542 fun vals_of_oris oris =
  1543     ((map (mkval' o (#5:ori -> term list))) o 
  1544      (filter ((curry (op mem) 1) o (#2:ori -> int list)))) oris
  1545 end;
  1546 
  1547 
  1548 
  1549 (* create a calc-tree with oris via an cas.refined pbl *)
  1550 fun nxt_specify_init_calc (([], (dI, pI, mI)) : fmz) =
  1551     if pI <> [] then (* from pbl-browser or from CAS cmd with pI=[e_pblID] *)
  1552 	let val {cas, met, ppc, thy, ...} = get_pbt pI
  1553 	    val dI = if dI = "" then theory2theory' thy else dI
  1554 	    val thy = assoc_thy dI
  1555 	    val mI = if mI = [] then hd met else mI
  1556 	    val hdl = case cas of NONE => pblterm dI pI | SOME t => t
  1557 	    val (pt,_) = cappend_problem e_ptree [] (Uistate, e_ctxt) ([], (dI,pI,mI))
  1558 					 ([], (dI,pI,mI), hdl)
  1559 	    val pt = update_spec pt [] (dI,pI,mI)
  1560 	    val pits = init_pbl' ppc
  1561 	    val pt = update_pbl pt [] pits
  1562 	in ((pt, ([] ,Pbl)), []) : calcstate end
  1563     else if mI <> [] then (* from met-browser *)
  1564 	let val {ppc,...} = get_met mI
  1565 	    val dI = if dI = "" then "Isac" else dI
  1566 	    val thy = assoc_thy dI;
  1567 	    val (pt,_) = cappend_problem e_ptree [] (e_istate, e_ctxt) ([], (dI,pI,mI))
  1568 					 ([], (dI,pI,mI), e_term(*FIXME met*));
  1569 	    val pt = update_spec pt [] (dI,pI,mI);
  1570 	    val mits = init_pbl' ppc;
  1571 	    val pt = update_met pt [] mits;
  1572 	in ((pt, ([], Met)), []) : calcstate end
  1573     else (* new example, pepare for interactive modeling *)
  1574 	let val (pt,_) = cappend_problem e_ptree [] (e_istate, e_ctxt) ([], e_spec)
  1575 					 ([], e_spec, e_term)
  1576 	in ((pt,([],Pbl)), []) : calcstate end
  1577   | nxt_specify_init_calc (fmz : fmz_, (dI, pI, mI) : spec) = 
  1578     let           (* both """"""""""""""""""""""""" either empty or complete *)
  1579 	val thy = assoc_thy dI
  1580 	val (pI, (pors, pctxt), mI) = 
  1581 	    if mI = ["no_met"] 
  1582 	    then let val (pors, pctxt) = get_pbt pI |> #ppc |> prep_ori fmz thy;
  1583 		     val pI' = refine_ori' pors pI;
  1584 		 in (pI', (pors(*refinement over models with diff.precond only*), pctxt),
  1585 		     (hd o #met o get_pbt) pI') end
  1586 	    else (pI, get_pbt pI |> #ppc |> prep_ori fmz thy, mI)
  1587 	val {cas, ppc, thy=thy',...} = get_pbt pI (*take dI from _refined_ pbl*)
  1588 	val dI = theory2theory' (maxthy thy thy');
  1589 	val hdl = case cas of
  1590 		      NONE => pblterm dI pI
  1591 		    | SOME t => subst_atomic ((vars_of_pbl_' ppc) 
  1592 						  ~~~ vals_of_oris pors) t;
  1593         val (pt, _) = cappend_problem e_ptree [] (e_istate, pctxt) (fmz, (dI, pI, mI))
  1594 				      (pors, (dI, pI, mI), hdl)
  1595     in ((pt, ([], Pbl)), 
  1596         fst3 (nxt_specif Model_Problem (pt, ([], Pbl)))) : calcstate
  1597     end;
  1598 
  1599 
  1600 
  1601 (*18.12.99*)
  1602 fun get_spec_form (m:tac_) ((p,p_):pos') (pt:ptree) = 
  1603 (*  case appl_spec p pt m of           /// 19.1.00
  1604     Notappl e => Error' (Error_ e)
  1605   | Appl => 
  1606 *)    let val (_,_,f,_,_,_) = specify m (p,p_) [] pt
  1607       in f end;
  1608 
  1609 
  1610 (*fun tag_form thy (formal, given) = cterm_of thy
  1611 	      (((head_of o term_of) given) $ (term_of formal)); WN100819*)
  1612 fun tag_form thy (formal, given) =
  1613     (let val gf = (head_of given) $ formal;
  1614          val _ = cterm_of thy gf
  1615      in gf end)
  1616     handle _ =>
  1617            error ("calchead.tag_form: " ^ 
  1618                   Print_Mode.setmp [] (Syntax.string_of_term
  1619                                            (thy2ctxt thy)) given ^ " .. " ^
  1620                   Print_Mode.setmp [] (Syntax.string_of_term
  1621                                            (thy2ctxt thy)) formal ^
  1622                   " ..types do not match");
  1623 (* val formal = (the o (parse thy)) "[R::real]";
  1624 > val given = (the o (parse thy)) "fixed_values (cs::real list)";
  1625 > tag_form thy (formal, given);
  1626 val it = "fixed_values [R]" : cterm
  1627 *)
  1628 
  1629 fun chktyp thy (n, fs, gs) = 
  1630   ((writeln o (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) o
  1631     (nth n)) fs;
  1632    (writeln o (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) o
  1633     (nth n)) gs;
  1634    tag_form thy (nth n fs, nth n gs));
  1635 fun chktyps thy (fs, gs) = map (tag_form thy) (fs ~~ gs);
  1636 
  1637 (* #####################################################
  1638    find the failing item:
  1639 > val n = 2;
  1640 > val tag__form = chktyp (n,formals,givens);
  1641 > (type_of o term_of o (nth n)) formals; 
  1642 > (type_of o term_of o (nth n)) givens;
  1643 > atomty ((term_of o (nth n)) formals);
  1644 > atomty ((term_of o (nth n)) givens);
  1645 > atomty (term_of tag__form);
  1646 > use_thy"isa-98-1-HOL-plus/knowl-base/DiffAppl";
  1647  ##################################################### *)
  1648 
  1649 (* #####################################################
  1650    testdata setup
  1651 val origin = ["sqrt(9+4*x)=sqrt x + sqrt(5+x)","x::rat","(+0)"];
  1652 val formals = map (the o (parse thy)) origin;
  1653 
  1654 val given  = ["equation (lhs=rhs)",
  1655 	     "bound_variable bdv",   (* TODO type *) 
  1656 	     "error_bound apx"];
  1657 val where_ = ["e is_root_equation_in bdv",
  1658 	      "bdv is_var",
  1659 	      "apx is_const_expr"];
  1660 val find   = ["L::rat set"];
  1661 val with_  = ["L = {bdv. || ((%x. lhs) bdv) - ((%x. rhs) bdv) || < apx}"];
  1662 val chkpbl = map (the o (parse thy)) (given @ where_ @ find @ with_);
  1663 val givens = map (the o (parse thy)) given;
  1664 
  1665 val tag__forms = chktyps (formals, givens);
  1666 map ((atomty) o term_of) tag__forms;
  1667  ##################################################### *)
  1668 
  1669 
  1670 (* check pbltypes, announces one failure a time *)
  1671 (*fun chk_vars ctppc = 
  1672   let val {Given=gi,Where=wh,Find=fi,With=wi,Relate=re} = 
  1673     appc flat (mappc (vars o term_of) ctppc)
  1674   in if (wh\\gi) <> [] then ("wh\\gi",wh\\gi)
  1675      else if (re\\(gi union fi)) <> [] 
  1676 	    then ("re\\(gi union fi)",re\\(gi union fi))
  1677 	  else ("ok",[]) end;*)
  1678 fun chk_vars ctppc = 
  1679   let val {Given=gi,Where=wh,Find=fi,With=wi,Relate=re} = 
  1680           appc flat (mappc vars ctppc)
  1681       val chked = subtract op = gi wh
  1682   in if chked <> [] then ("wh\\gi", chked)
  1683      else let val chked = subtract op = (union op = gi fi) re
  1684           in if chked  <> []
  1685 	     then ("re\\(gi union fi)", chked)
  1686 	     else ("ok", []) 
  1687           end
  1688   end;
  1689 
  1690 (* check a new pbltype: variables (Free) unbound by given, find*) 
  1691 fun unbound_ppc ctppc =
  1692   let val {Given=gi,Find=fi,Relate=re,...} = 
  1693     appc flat (mappc vars ctppc)
  1694   in distinct (*re\\(gi union fi)*) 
  1695               (subtract op = (union op = gi fi) re) end;
  1696 (*
  1697 > val org = {Given=["[R=(R::real)]"],Where=[],
  1698 	   Find=["[A::real]"],With=[],
  1699 	   Relate=["[A=#2*a*b - a^^^#2, (a//#2)^^^#2 + (b//#2)^^^#2 = R^^^#2]"]
  1700 	   }:string ppc;
  1701 > val ctppc = mappc (the o (parse thy)) org;
  1702 > unbound_ppc ctppc;
  1703 val it = [("a","RealDef.real"),("b","RealDef.real")] : (string * typ) list
  1704 *)
  1705 
  1706 
  1707 (* f, a binary operator, is nested rightassociative *)
  1708 fun foldr1 f xs =
  1709   let
  1710     fun fld f (x::[]) = x
  1711       | fld f (x::x'::[]) = f (x',x)
  1712       | fld f (x::x'::xs) = f (fld f (x'::xs),x);
  1713   in ((fld f) o rev) xs end;
  1714 (*
  1715 > val (SOME ct) = parse thy "[a=b,c=d,e=f]";
  1716 > val ces = map (cterm_of thy) (isalist2list (term_of ct));
  1717 > val conj = foldr1 HOLogic.mk_conj (isalist2list (term_of ct));
  1718 > cterm_of thy conj;
  1719 val it = "(a = b & c = d) & e = f" : cterm
  1720 *)
  1721 
  1722 (* f, a binary operator, is nested leftassociative *)
  1723 fun foldl1 f (x::[]) = x
  1724   | foldl1 f (x::x'::[]) = f (x,x')
  1725   | foldl1 f (x::x'::xs) = f (x,foldl1 f (x'::xs));
  1726 (*
  1727 > val (SOME ct) = parse thy "[a=b,c=d,e=f,g=h]";
  1728 > val ces = map (cterm_of thy) (isalist2list (term_of ct));
  1729 > val conj = foldl1 HOLogic.mk_conj (isalist2list (term_of ct));
  1730 > cterm_of thy conj;
  1731 val it = "a = b & c = d & e = f & g = h" : cterm
  1732 *)
  1733 
  1734 
  1735 (* called only once, if a Subproblem has been located in the script*)
  1736 fun nxt_model_pbl (Subproblem'((_,pblID,metID),_,_,_,_)) ptp =
  1737 (* val (Subproblem'((_,pblID,metID),_,_,_,_),ptp) = (m', (pt,(p,p_)));
  1738    *)
  1739     (case metID of
  1740 	 ["no_met"] => 
  1741 	 (snd3 o hd o fst3) (nxt_specif (Refine_Tacitly pblID) ptp)
  1742        | _ => (snd3 o hd o fst3) (nxt_specif Model_Problem ptp))
  1743   (*all stored in tac_ itms     ^^^^^^^^^^*)
  1744   | nxt_model_pbl tac_ _ = 
  1745     error ("nxt_model_pbl: called by tac= "^tac_2str tac_);
  1746 (* run subp_rooteq.sml ''
  1747    until nxt=("Subproblem",Subproblem ("SqRoot",["univariate","equation"]))
  1748 > val (_, (Subproblem'((_,pblID,metID),_,_,_,_),_,_,_,_,_)) =
  1749       (last_elem o drop_last) ets'';
  1750 > val mst = (last_elem o drop_last) ets'';
  1751 > nxt_model_pbl mst;
  1752 val it = Refine_Tacitly ["univariate","equation"] : tac
  1753 *)
  1754 
  1755 (*fun eq1 d (_,(d',_)) = (d = d'); ---modspec.sml*)
  1756 fun eq4 v (_,vts,_,_,_) = member op = vts v;
  1757 fun eq5 (_,_,_,_,itm_) (_,_,_,d,_) = d_in itm_ = d;
  1758 
  1759  
  1760 (*.complete _NON_empty calc-head for autocalc (sub-)pbl from oris
  1761   + met from fmz; assumes pos on PblObj, meth = [].*)
  1762 fun complete_mod (pt, pos as (p, p_):pos') =
  1763 (* val (pt, (p, _)) = (pt, p);
  1764    val (pt, (p, _)) = (pt, pos);
  1765    *)
  1766     let val _= if p_ <> Pbl 
  1767 	       then tracing("###complete_mod: only impl.for Pbl, called with "^
  1768 			    pos'2str pos) else ()
  1769 	val (PblObj{origin=(oris, ospec, hdl), probl, spec,...}) =
  1770 	    get_obj I pt p
  1771 	val (dI,pI,mI) = some_spec ospec spec
  1772 	val mpc = (#ppc o get_met) mI
  1773 	val ppc = (#ppc o get_pbt) pI
  1774 	val (pits, mits) = complete_mod_ (oris, mpc, ppc, probl)
  1775         val pt = update_pblppc pt p pits
  1776 	val pt = update_metppc pt p mits
  1777     in (pt, (p,Met):pos') end
  1778 ;
  1779 (*| complete_mod (pt, pos as (p, Met):pos') =
  1780     error ("###complete_mod: only impl.for Pbl, called with "^
  1781 		 pos'2str pos);*)
  1782 
  1783 (*.complete _EMPTY_ calc-head for autocalc (sub-)pbl from oris(+met from fmz);
  1784    oris and spec (incl. pbl-refinement) given from init_calc or SubProblem .*)
  1785 fun all_modspec (pt, (p,_):pos') =
  1786 (* val (pt, (p,_)) = ptp;
  1787    *)
  1788     let val (PblObj{fmz=(fmz_,_), origin=(pors, spec as (dI,pI,mI), hdl),
  1789 		    ...}) = get_obj I pt p;
  1790 	val thy = assoc_thy dI;
  1791 	val {ppc,...} = get_met mI;
  1792 	val mors = prep_ori fmz_ thy ppc |> #1;
  1793         val pt = update_pblppc pt p (map (ori2Coritm ppc) pors);
  1794 	val pt = update_metppc pt p (map (ori2Coritm ppc) mors);
  1795 	val pt = update_spec pt p (dI,pI,mI);
  1796     in (pt, (p,Met): pos') end;
  1797 
  1798 (*WN.12.03: use in nxt_spec, too ? what about variants ???*)
  1799 fun is_complete_mod_ ([]: itm list) = false
  1800   | is_complete_mod_ itms = 
  1801     foldl and_ (true, (map #3 itms));
  1802 fun is_complete_mod (pt, pos as (p, Pbl): pos') =
  1803     if (is_pblobj o (get_obj I pt)) p 
  1804     then (is_complete_mod_ o (get_obj g_pbl pt)) p
  1805     else error ("is_complete_mod: called by PrfObj at "^pos'2str pos)
  1806   | is_complete_mod (pt, pos as (p, Met)) = 
  1807     if (is_pblobj o (get_obj I pt)) p 
  1808     then (is_complete_mod_ o (get_obj g_met pt)) p
  1809     else error ("is_complete_mod: called by PrfObj at "^pos'2str pos)
  1810   | is_complete_mod (_, pos) =
  1811     error ("is_complete_mod called by "^pos'2str pos^
  1812 		 " (should be Pbl or Met)");
  1813 
  1814 (*.have (thy, pbl, met) _all_ been specified explicitly ?.*)
  1815 fun is_complete_spec (pt, pos as (p,_): pos') = 
  1816     if (not o is_pblobj o (get_obj I pt)) p 
  1817     then error ("is_complete_spec: called by PrfObj at "^pos'2str pos)
  1818     else let val (dI,pI,mI) = get_obj g_spec pt p
  1819 	 in dI<>e_domID andalso pI<>e_pblID andalso mI<>e_metID end;
  1820 (*.complete empty items in specification from origin (pbl, met ev.refined);
  1821   assumes 'is_complete_mod'.*)
  1822 fun complete_spec (pt, pos as (p,_): pos') = 
  1823     let val PblObj {origin = (_,ospec,_), spec,...} = get_obj I pt p
  1824 	val pt = update_spec pt p (some_spec ospec spec)
  1825     in (pt, pos) end;
  1826 
  1827 fun is_complete_modspec ptp = 
  1828     is_complete_mod ptp andalso is_complete_spec ptp;
  1829 
  1830 
  1831 
  1832 
  1833 fun pt_model (PblObj {meth,spec,origin=(_,spec',hdl),...}) Met =
  1834 (* val ((PblObj {meth,spec,origin=(_,spec',hdl),...}), Met) = (ppobj, p_);
  1835    *)
  1836     let val (_,_,metID) = get_somespec' spec spec'
  1837 	val pre = 
  1838 	    if metID = e_metID then []
  1839 	    else let val {prls,pre=where_,...} = get_met metID
  1840 		     val pre = check_preconds' prls where_ meth 0
  1841 		 in pre end
  1842 	val allcorrect = is_complete_mod_ meth
  1843 			 andalso foldl and_ (true, (map #1 pre))
  1844     in ModSpec (allcorrect, Met, hdl, meth, pre, spec) end
  1845   | pt_model (PblObj {probl,spec,origin=(_,spec',hdl),...}) _(*Frm,Pbl*) =
  1846 (* val ((PblObj {probl,spec,origin=(_,spec',hdl),...}),_) = (ppobj, p_);
  1847    *)
  1848     let val (_,pI,_) = get_somespec' spec spec'
  1849 	val pre =
  1850 	    if pI = e_pblID then []
  1851 	    else let val {prls,where_,cas,...} = get_pbt pI
  1852 		     val pre = check_preconds' prls where_ probl 0
  1853 		 in pre end
  1854 	val allcorrect = is_complete_mod_ probl
  1855 			 andalso foldl and_ (true, (map #1 pre))
  1856     in ModSpec (allcorrect, Pbl, hdl, probl, pre, spec) end;
  1857 
  1858 
  1859 fun pt_form (PrfObj {form,...}) = Form form
  1860   | pt_form (PblObj {probl,spec,origin=(_,spec',_),...}) =
  1861     let val (dI, pI, _) = get_somespec' spec spec'
  1862 	val {cas,...} = get_pbt pI
  1863     in case cas of
  1864 	   NONE => Form (pblterm dI pI)
  1865 	 | SOME t => Form (subst_atomic (mk_env probl) t)
  1866     end;
  1867 (*vvv takes the tac _generating_ the formula=result, asm ok....
  1868 fun pt_result (PrfObj {result=(t,asm), tac,...}) = 
  1869     (Form t, 
  1870      if null asm then NONE else SOME asm, 
  1871      SOME tac)
  1872   | pt_result (PblObj {result=(t,asm), origin = (_,ospec,_), spec,...}) =
  1873     let val (_,_,metID) = some_spec ospec spec
  1874     in (Form t, 
  1875 	if null asm then NONE else SOME asm, 
  1876 	if metID = e_metID then NONE else SOME (Apply_Method metID)) end;
  1877 -------------------------------------------------------------------------*)
  1878 
  1879 
  1880 (*.pt_extract returns
  1881       # the formula at pos
  1882       # the tactic applied to this formula
  1883       # the list of assumptions generated at this formula
  1884 	(by application of another tac to the preceding formula !)
  1885    pos is assumed to come from the frontend, ie. generated by moveDown.*)
  1886 (*cannot be in ctree.sml, because ModSpec has to be calculated*)
  1887 fun pt_extract (pt,([],Res)) =
  1888 (* val (pt,([],Res)) = ptp;
  1889    *)
  1890     let val (f, asm) = get_obj g_result pt []
  1891     in (Form f, NONE, asm) end
  1892 (* val p = [3,2];
  1893    *)
  1894   | pt_extract (pt,(p,Res)) =
  1895 (* val (pt,(p,Res)) = ptp;
  1896    *)
  1897     let val (f, asm) = get_obj g_result pt p
  1898 	val tac = if last_onlev pt p
  1899 		  then if is_pblobj' pt (lev_up p)
  1900 		       then let val (PblObj{spec=(_,pI,_),...}) = 
  1901 				    get_obj I pt (lev_up p)
  1902 			    in if pI = e_pblID then NONE 
  1903 			       else SOME (Check_Postcond pI) end
  1904 		       else SOME End_Trans (*WN0502 TODO for other branches*)
  1905 		  else let val p' = lev_on p
  1906 		       in if is_pblobj' pt p'
  1907 			  then let val (PblObj{origin = (_,(dI,pI,_),_),...}) =
  1908 				       get_obj I pt p'
  1909 			       in SOME (Subproblem (dI, pI)) end
  1910 			  else if f = get_obj g_form pt p'
  1911 			  then SOME (get_obj g_tac pt p')
  1912 			  (*because this Frm          ~~~is not on worksheet*)
  1913 			  else SOME (Take (term2str (get_obj g_form pt p')))
  1914 		       end
  1915     in (Form f, tac, asm) end
  1916 	
  1917   | pt_extract (pt, pos as (p,p_(*Frm,Pbl*))) =
  1918 (* val (pt, pos as (p,p_(*Frm,Pbl*))) = ptp;
  1919    val (pt, pos as (p,p_(*Frm,Pbl*))) = (pt, p);
  1920    *)
  1921     let val ppobj = get_obj I pt p
  1922 	val f = if is_pblobj ppobj then pt_model ppobj p_
  1923 		else get_obj pt_form pt p
  1924 	val tac = g_tac ppobj
  1925     in (f, SOME tac, []) end;
  1926 
  1927 
  1928 (**. get the formula from a ctree-node:
  1929  take form+res from PblObj and 1.PrfObj and (PrfObj after PblObj)
  1930  take res from all other PrfObj's .**)
  1931 (*designed for interSteps, outcommented 04 in favour of calcChangedEvent*)
  1932 fun formres p (Nd (PblObj {origin = (_,_, h), result = (r, _),...}, _)) =
  1933     [("headline", (p, Frm), h), 
  1934      ("stepform", (p, Res), r)]
  1935   | formres p (Nd (PrfObj {form, result = (r, _),...}, _)) = 
  1936     [("stepform", (p, Frm), form), 
  1937      ("stepform", (p, Res), r)];
  1938 
  1939 fun form p (Nd (PrfObj {result = (r, _),...}, _)) = 
  1940     [("stepform", (p, Res), r)]
  1941 
  1942 (*assumes to take whole level, in particular hd -- for use in interSteps*)
  1943 fun get_formress fs p [] = flat fs
  1944   | get_formress fs p (nd::nds) =
  1945     (* start with   'form+res'       and continue with trying 'res' only*)
  1946     get_forms (fs @ [formres p nd]) (lev_on p) nds
  1947 and get_forms fs p [] = flat fs
  1948   | get_forms fs p (nd::nds) =
  1949     if is_pblnd nd
  1950     (* start again with      'form+res' ///ugly repeat with Check_elementwise
  1951     then get_formress (fs @ [formres p nd]) (lev_on p) nds                   *)
  1952     then get_forms    (fs @ [formres p nd]) (lev_on p) nds
  1953     (* continue with trying 'res' only*)
  1954     else get_forms    (fs @ [form    p nd]) (lev_on p) nds;
  1955 
  1956 (**.get an 'interval' 'from' 'to' of formulae from a ptree.**)
  1957 (*WN050219 made robust against _'to' below or after Complete nodes
  1958 	   by handling exn caused by move_dn*)
  1959 (*WN0401 this functionality belongs to ctree.sml, 
  1960 but fetching a calc_head requires calculations defined in modspec.sml
  1961 transfer to ME/me.sml !!!
  1962 WN051224 ^^^ doesnt hold any longer, since only the headline of a calc_head
  1963 is returned !!!!!!!!!!!!!
  1964 *)
  1965 fun eq_pos' (p1,Frm) (p2,Frm) = p1 = p2
  1966   | eq_pos' (p1,Res) (p2,Res) = p1 = p2
  1967   | eq_pos' (p1,Pbl) (p2,p2_) = p1 = p2 andalso (case p2_ of
  1968 						     Pbl => true
  1969 						   | Met => true
  1970 						   | _ => false)
  1971   | eq_pos' (p1,Met) (p2,p2_) = p1 = p2 andalso (case p2_ of
  1972 						     Pbl => true
  1973 						   | Met => true
  1974 						   | _ => false)
  1975   | eq_pos' _ _ = false;
  1976 
  1977 (*.get an 'interval' from the ctree; 'interval' is w.r.t. the 
  1978    total ordering Position#compareTo(Position p) in the java-code
  1979 val get_interval = fn
  1980     : pos' ->     : from is "move_up 1st-element" to return
  1981       pos' -> 	  : to the last element to be returned; from < to
  1982       int -> 	  : level: 0 gets the flattest sub-tree possible
  1983 			   >999 gets the deepest sub-tree possible
  1984       ptree -> 	  : 
  1985       (pos' * 	  : of the formula
  1986        Term.term) : the formula
  1987 	  list
  1988 .*)
  1989 fun get_interval from to level pt =
  1990 (* val (from,level) = (f,lev);
  1991    val (from, to, level) = (([3, 2, 1], Res), ([],Res), 9999);
  1992    *)
  1993     let fun get_inter c (from:pos') (to:pos') lev pt =
  1994 (* val (c, from, to, lev) = ([], from, to, level);
  1995    ------for recursion.......
  1996    val (c, from:pos', to:pos') = (c @ [(from, f)], move_dn [] pt from, to);
  1997    *)
  1998 	    if eq_pos' from to orelse from = ([],Res)
  1999 	    (*orelse ... avoids Exception- PTREE "end of calculation" raised,
  2000 	     if 'to' has values NOT generated by move_dn, see systest/me.sml
  2001              TODO.WN0501: introduce an order on pos' and check "from > to"..
  2002              ...there is an order in Java! 
  2003              WN051224 the hack got worse with returning term instead ptform*)
  2004 	    then let val (f,_,_) = pt_extract (pt, from)
  2005 		 in case f of
  2006 			ModSpec (_,_,headline,_,_,_) => c @ [(from, headline)] 
  2007 		      | Form t => c @ [(from, t)]
  2008 		 end
  2009 	    else 
  2010 		if lev < lev_of from
  2011 		then (get_inter c (move_dn [] pt from) to lev pt)
  2012 		     handle (PTREE _(*from move_dn too far*)) => c
  2013 		else let val (f,_,_) = pt_extract (pt, from)
  2014 			 val term = case f of
  2015 					ModSpec (_,_,headline,_,_,_)=> headline
  2016 				      | Form t => t
  2017 		     in (get_inter (c @ [(from, term)]) 
  2018 				   (move_dn [] pt from) to lev pt)
  2019 			handle (PTREE _(*from move_dn too far*)) 
  2020 			       => c @ [(from, term)] end
  2021     in get_inter [] from to level pt end;
  2022 
  2023 (*for tests*)
  2024 fun posform2str (pos:pos', form) =
  2025     "("^ pos'2str pos ^", "^
  2026     (case form of 
  2027 	 Form f => term2str f
  2028        | ModSpec c => term2str (#3 c(*the headline*)))
  2029     ^")";
  2030 fun posforms2str pfs = (strs2str' o (map (curry op ^ "\n")) o 
  2031 			(map posform2str)) pfs;
  2032 fun posterm2str (pos:pos', t) =
  2033     "("^ pos'2str pos ^", "^term2str t^")";
  2034 fun posterms2str pfs = (strs2str' o (map (curry op ^ "\n")) o 
  2035 			(map posterm2str)) pfs;
  2036 
  2037 
  2038 (*WN050225 omits the last step, if pt is incomplete*)
  2039 fun show_pt pt = 
  2040     tracing (posterms2str (get_interval ([],Frm) ([],Res) 99999 pt));
  2041 
  2042 (*.get a calchead from a PblObj-node in the ctree; 
  2043    preconditions must be calculated.*)
  2044 fun get_ocalhd (pt, pos' as (p,Pbl):pos') = 
  2045     let val PblObj {origin = (oris, ospec, hdf'), spec, probl,...} = 
  2046 	    get_obj I pt p
  2047 	val {prls,where_,...} = get_pbt (#2 (some_spec ospec spec))
  2048 	val pre = check_preconds (assoc_thy"Isac") prls where_ probl
  2049     in (ocalhd_complete probl pre spec, Pbl, hdf', probl, pre, spec):ocalhd end
  2050 | get_ocalhd (pt, pos' as (p,Met):pos') = 
  2051     let val PblObj {fmz = fmz as (fmz_,_), origin = (oris, ospec, hdf'), 
  2052 		    spec, meth,...} = 
  2053 	    get_obj I pt p
  2054 	val {prls,pre,...} = get_met (#3 (some_spec ospec spec))
  2055 	val pre = check_preconds (assoc_thy"Isac") prls pre meth
  2056     in (ocalhd_complete meth pre spec, Met, hdf', meth, pre, spec):ocalhd end;
  2057 
  2058 (*.at the activeFormula set the Model, the Guard and the Specification 
  2059    to empty and return a CalcHead;
  2060    the 'origin' remains (for reconstructing all that).*)
  2061 fun reset_calchead (pt, pos' as (p,_):pos') = 
  2062     let val PblObj {origin = (_, _, hdf'),...} = get_obj I pt p
  2063 	val pt = update_pbl pt p []
  2064 	val pt = update_met pt p []
  2065 	val pt = update_spec pt p e_spec
  2066     in (pt, (p,Pbl):pos') end;
  2067 
  2068 end
  2069 
  2070 open CalcHead;