src/Tools/isac/Interpret/calchead.sml
author Walther Neuper <neuper@ist.tugraz.at>
Fri, 13 May 2011 11:45:07 +0200
branchdecompose-isar
changeset 41988 0a13bda82a57
parent 41983 4c49adbfadab
child 41990 99e83a0bea44
permissions -rw-r--r--
intermed. ctxt ..: extended PblObj with ctxt

ctxt is for the specify phase. For this purpose ...
...(1) re-using PblObj{env, ...} led to conflict with init_form,
...(2) re-using PblObj{loc = (_, Some (_, ctxt)), ...} led to another conflict,
which could not be traced due to the unstable situation of the system.

the system is in unstable state of development because:
# update 2002 to 2009-2 checked by few tests (only x+1=2, Frontend/interface.sml)
# MLe started work on "parse ctxt" before update 2009-2 to 2011 was done
# so MLe started with too little tests (not even x+1=2 went through)
# HOL.Let, ...,Pair were detected during MLe's work

since the above conflicts cannot be traced sufficiently,
PblObj{ctxt, ...} is added as a save way, which might be removed later.

TODO: remove ctxt from PblObj{env = SOME (istate, ctxt), ...} again,
which was introduced for (1).
     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, Mathias Lehnfeld
     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 fun is_known ctxt sel ori t =
   727   let
   728     val _ = tracing ("RM is_known: t=" ^ term2str t);
   729     val ots = (distinct o flat o (map #5)) (ori:ori list);
   730     val oids = ((map (fst o dest_Free)) o distinct o 
   731 		  flat o (map vars)) ots;
   732     val (d, ts) = split_dts t;
   733     val ids = map (fst o dest_Free) 
   734       ((distinct o (flat o (map vars))) ts);
   735   in if (subtract op = oids ids) <> []
   736      then (("identifiers "^(strs2str' (subtract op = oids ids)) ^
   737 	     " not in example"), e_ori_, [])
   738      else 
   739 	     if d = e_term 
   740 	     then 
   741 	       if not (subset op = (map typeless ts, map typeless ots))
   742 	       then (("terms '" ^ ((strs2str' o 
   743            (map (Print_Mode.setmp [] (Syntax.string_of_term ctxt)))) ts) ^
   744 		       "' not in example (typeless)"), e_ori_, [])
   745 	       else 
   746            (case seek_orits ctxt sel ts ori of
   747 		          ("", ori_ as (_,_,_,d,ts), all) =>
   748 		             (case test_types ctxt (d,ts) of
   749 			              "" => ("", ori_, all)
   750 			            | msg => (msg, e_ori_, []))
   751 		        | (msg,_,_) => (msg, e_ori_, []))
   752 	     else 
   753 	       if member op = (map #4 ori) d
   754 	       then seek_oridts ctxt sel (d,ts) ori
   755 	       else ((Print_Mode.setmp [] (Syntax.string_of_term ctxt) d) ^
   756 		       " not in example", (0, [], sel, d, ts), [])
   757   end;
   758 
   759 
   760 (*. for return-value of appl_add .*)
   761 datatype additm =
   762 	 Add of itm
   763        | Err of string;    (*error-message*)
   764 
   765 
   766 (** add an item to the model; check wrt. oris and pbt **)
   767 (* in contrary to oris<>[] below, this part handles user-input
   768    extremely acceptive, i.e. accept input instead error-msg *)
   769 fun appl_add ctxt sel [] ppc pbt ct =
   770       let
   771         val i = 1 + (if ppc = [] then 0 else map #1 ppc |> maxl);
   772         in 
   773           case parseNEW ctxt ct of
   774             NONE => Add (i, [], false, sel, Syn ct)
   775           | SOME t =>
   776               let val (d, ts) = split_dts t;
   777               in 
   778                 if d = e_term 
   779                 then Add (i, [], false, sel, Mis (dsc_unknown, hd ts)) 
   780                 else
   781                   (case find_first (eq1 d) pbt of
   782                      NONE => Add (i, [], true, sel, Sup (d,ts))
   783                    | SOME (f, (_, id)) =>
   784                        let fun eq2 d (i, _, _, _, itm_) =
   785                              d = (d_in itm_) andalso i <> 0;
   786                        in case find_first (eq2 d) ppc of
   787                             NONE => Add (i, [], true, f,Cor ((d, ts), (id, pbl_ids' d ts)))
   788                           | SOME (i', _, _, _, itm_) => 
   789                               if is_list_dsc d 
   790                               then 
   791                                 let
   792                                   val in_itm = ts_in itm_;
   793                                   val ts' = union op = ts in_itm;
   794                                   val i'' = if in_itm = [] then i else i';
   795                                 in Add (i'', [], true, f, Cor ((d, ts'), (id, pbl_ids' d ts'))) end
   796                               else Add (i', [], true, f, Cor ((d, ts),(id, pbl_ids' d ts)))
   797                        end)
   798               end
   799       end
   800   | appl_add ctxt sel oris ppc pbt str =
   801       case parseNEW ctxt str of
   802         NONE => Err ("appl_add: syntax error in '" ^ str ^ "'")
   803       | SOME t => 
   804           case is_known ctxt sel oris t of
   805             ("", ori', all) => 
   806               (case is_notyet_input ctxt ppc all ori' pbt of
   807                  ("", itm) => Add itm
   808                | (msg, _) => Err ("[error] appl_add: is_notyet_input: " ^ msg))
   809           | (msg, _, _) => Err ("[error] appl_add: is_known: " ^ msg);
   810 
   811 
   812 (** make oris from args of the stac SubProblem and from pbt **)
   813 (* can this formal argument (of a model-pattern) be omitted in the arg-list
   814    of a SubProblem ? see ME/ptyps.sml 'type met ' *)
   815 fun is_copy_named_idstr str =
   816     case (rev o Symbol.explode) str of
   817 	"'":: _ ::"'"::_ => (tracing ((strs2str o (rev o Symbol.explode)) 
   818                                   "is_copy_named_idstr: " ^ str ^ " T"); true)
   819       | _ => (tracing ((strs2str o (rev o Symbol.explode)) 
   820                                   "is_copy_named_idstr: " ^ str ^ " F"); false);
   821 fun is_copy_named (_, (_, t)) = (is_copy_named_idstr o free2str) t;
   822 
   823 (*.should this formal argument (of a model-pattern) create a new identifier?.*)
   824 fun is_copy_named_generating_idstr str =
   825     if is_copy_named_idstr str
   826     then case (rev o Symbol.explode) str of
   827 	"'"::"'"::"'"::_ => false
   828       | _ => true
   829     else false;
   830 fun is_copy_named_generating (_, (_, t)) = 
   831     (is_copy_named_generating_idstr o free2str) t;
   832 
   833 (*.split type-wrapper from scr-arg and build part of an ori;
   834    an type-error is reported immediately, raises an exn, 
   835    subsequent handling of exn provides 2nd part of error message.*)
   836 fun mtc thy ((str, (dsc, _)):pat) (ty $ var) =
   837     (* val (thy, (str, (dsc, _)), (ty $ var)) =
   838 	   (thy,  p,               a);
   839        *)
   840     (cterm_of thy (dsc $ var);(*type check*)
   841      SOME ((([1], str, dsc, (*[var]*)
   842 	    split_dts' (dsc, var))): preori)(*:ori without leading #*))
   843     handle e as TYPE _ => 
   844 	   (tracing (dashs 70 ^ "\n"
   845 	^"*** ERROR while creating the items for the model of the ->problem\n"
   846 	^"*** from the ->stac with ->typeconstructor in arglist:\n"
   847 	^"*** item (->description ->value): "^term2str dsc^" "^term2str var^"\n"
   848 	^"*** description: "^(term_detail2str dsc)
   849 	^"*** value: "^(term_detail2str var)
   850 	^"*** typeconstructor in script: "^(term_detail2str ty)
   851 	^"*** checked by theory: "^(theory2str thy)^"\n"
   852 	^"*** " ^ dots 66);
   853 	    (*OldGoals.print_exn e; raises exn again*)
   854             writeln (PolyML.makestring e);
   855             reraise e;
   856 	(*raise ERROR "actual args do not match formal args";FIXXXME.WN100916*)
   857 	NONE);
   858 
   859 (*.match each pat of the model-pattern with an actual argument;
   860    precondition: copy-named vars are filtered out.*)
   861 fun matc thy ([]:pat list)  _  (oris:preori list) = oris
   862   | matc thy pbt [] _ =
   863     (tracing (dashs 70);
   864      error ("actual arg(s) missing for '"^pats2str pbt
   865 		 ^"' i.e. should be 'copy-named' by '*_._'"))
   866   | matc thy ((p as (s,(d,t)))::pbt) (a::ags) oris =
   867     (* val (thy, ((p as (s,(d,t)))::pbt), (a::ags), oris) =
   868 	   (thy,  pbt',                    ags,     []);
   869        (*recursion..*)
   870        val (thy, ((p as (s,(d,t)))::pbt), (a::ags), oris) =
   871 	   (thy,  pbt,                     ags,    (oris @ [ori]));
   872        *)
   873     (*del?..*)if (is_copy_named_idstr o free2str) t then oris
   874     else(*..del?*) let val opt = mtc thy p a;  
   875 	 in case opt of
   876 		(* val SOME ori = mtc thy p a;
   877 		   *)
   878 		SOME ori => matc thy pbt ags (oris @ [ori])
   879 	      | NONE => [](*WN050903 skipped by exn handled in match_ags*)
   880 	 end; 
   881 (* run subp-rooteq.sml until Init_Proof before ...
   882 > val Nd (PblObj {origin=(oris,_,_),...},_) = pt;(*from test/subp-rooteq.sml*)
   883 > fun xxxfortest (_,a,b,c,d) = (a,b,c,d);val oris = map xxxfortest oris;
   884 
   885  other vars as in mtc ..
   886 > matc thy (drop_last pbt) ags [];
   887 val it = ([[1],"#Given",Const #,[#]),(0,[#],"#Given",Const #,[#])],2)*)
   888 
   889 
   890 (* generate a new variable "x_i" name from a related given one "x"
   891    by use of oris relating "v_i_" (is_copy_named!) to "v_"
   892    e.g. (v_, x) & (v_i_, ?) --> (v_i_, x_i) *)
   893 
   894 (* generate a new variable "x_i" name from a related given one "x"
   895    by use of oris relating "v_v'i'" (is_copy_named!) to "v_v"
   896    e.g. (v_v, x) & (v_v'i', ?) --> (v_v'i', x_i),
   897    but leave is_copy_named_generating as is, e.t. ss''' *)
   898 fun cpy_nam (pbt:pat list) (oris:preori list) (p as (field,(dsc,t)):pat) =
   899   (if is_copy_named_generating p
   900    then (*WN051014 kept strange old code ...*)
   901        let fun sel (_,_,d,ts) = comp_ts (d, ts) 
   902 	   val cy' = (implode o (drop_last_n 3) o Symbol.explode o free2str) t
   903 	   val ext = (last_elem o drop_last o Symbol.explode o free2str) t
   904 	   val vars' = map (free2str o snd o snd) pbt (*cpy-nam filtered_out*)
   905 	   val vals = map sel oris
   906 	   val cy_ext = (free2str o the) (assoc (vars'~~vals, cy'))^"_"^ext
   907        in ([1], field, dsc, [mk_free (type_of t) cy_ext]):preori end
   908    else ([1], field, dsc, [t])
   909 	)
   910   handle _ => error ("cpy_nam: for "^(term2str t));
   911 
   912 (*.match the actual arguments of a SubProblem with a model-pattern
   913    and create an ori list (in root-pbl created from formalization).
   914    expects ags:pats = 1:1, while copy-named are filtered out of pats;
   915    if no 1:1 the exn raised by matc/mtc and handled at call.
   916    copy-named pats are appended in order to get them into the model-items.*)
   917 fun match_ags thy (pbt:pat list) ags =
   918     let fun flattup (i,(var,bool,str,itm_)) = (i,var,bool,str,itm_);
   919 	val pbt' = filter_out is_copy_named pbt;
   920 	val cy = filter is_copy_named pbt;
   921 	val oris' = matc thy pbt' ags [];
   922 	val cy' = map (cpy_nam pbt' oris') cy;
   923 	val ors = add_id (oris' @ cy'); 
   924     (*appended in order to get ^^^^^ into the model-items*)
   925     in (map flattup ors):ori list end;
   926 
   927 (*.report part of the error-msg which is not available in match_args.*)
   928 fun match_ags_msg pI stac ags =
   929     let (*val s = !show_types
   930 	val _ = show_types:= true*)
   931 	val pats = (#ppc o get_pbt) pI
   932 	val msg = (dots 70^"\n"
   933 		 ^"*** problem "^strs2str pI^" has the ...\n"
   934 		 ^"*** model-pattern "^pats2str pats^"\n"
   935 		 ^"*** stac   '"^term2str stac^"' has the ...\n"
   936 		 ^"*** arg-list "^terms2str ags^"\n"
   937 		 ^dashs 70)
   938 	(*WN100921 ^^^^ expect TYPE errormsg below; lost with Isa09*)
   939 	(*val _ = show_types:= s*)
   940     in tracing msg end;
   941 
   942 
   943 (*get the variables out of a pbl_; FIXME.WN.0311: is_copy_named ...obscure!!!*)
   944 fun vars_of_pbl_ pbl_ = 
   945     let fun var_of_pbl_ (gfr,(dsc,t)) = t
   946     in ((map var_of_pbl_) o (filter_out is_copy_named)) pbl_ end;
   947 fun vars_of_pbl_' pbl_ = 
   948     let fun var_of_pbl_ (gfr,(dsc,t)) = t:term
   949     in ((map var_of_pbl_)(* o (filter_out is_copy_named)*)) pbl_ end;
   950 
   951 fun overwrite_ppc thy itm ppc =
   952   let 
   953     fun repl ppc' (_,_,_,_,itm_) [] =
   954       error ("overwrite_ppc: " ^ (itm_2str_ (thy2ctxt thy) itm_) ^ 
   955                    " not found")
   956       | repl ppc' itm (p::ppc) =
   957 	if (#1 itm) = (#1 (p:itm)) then ppc' @ [itm] @ ppc
   958 	else repl (ppc' @ [p]) itm ppc
   959   in repl [] itm ppc end;
   960 
   961 (*10.3.00: insert the already compiled itm into model;
   962    ev. filter_out  untouched (in FE: (0,...)) item related to insert-item *)
   963 (* val ppc=pbl;
   964    *)
   965 fun insert_ppc thy itm ppc =
   966     let 
   967 	fun eq_untouched d ((0,_,_,_,itm_):itm) = (d = d_in itm_)
   968 	  | eq_untouched _ _ = false;
   969 	    val ppc' = 
   970 		(
   971 		 (*tracing("### insert_ppc: itm= "^(itm2str_ itm));*)       
   972 		 case seek_ppc (#1 itm) ppc of
   973 		     (* val SOME xxx = seek_ppc (#1 itm) ppc;
   974 		        *)
   975 		     SOME _ => (*itm updated in is_notyet_input WN.11.03*)
   976 		     overwrite_ppc thy itm ppc
   977 		   | NONE => (ppc @ [itm]));
   978     in filter_out (eq_untouched ((d_in o #5) itm)) ppc' end;
   979 
   980 (*from Isabelle/src/Pure/library.ML, _appends_ a new element*)
   981 fun gen_ins' eq (x, xs) = if gen_mem eq (x, xs) then xs else xs @ [x];
   982 
   983 fun eq_dsc ((_,_,_,_,itm_):itm, (_,_,_,_,iitm_):itm) = 
   984     (d_in itm_) = (d_in iitm_);
   985 (*insert_ppc = insert_ppc' for appl_add', input_icalhd 11.03,
   986     handles superfluous items carelessly*)
   987 fun insert_ppc' itm itms = gen_ins' eq_dsc (itm, itms);
   988 (* val eee = op=;
   989  > gen_ins' eee (4,[1,3,5,7]);
   990 val it = [1, 3, 5, 7, 4] : int list*)
   991 
   992 
   993 (*. output the headline to a ppc .*)
   994 fun header p_ pI mI =
   995     case p_ of Pbl => Problem (if pI = e_pblID then [] else pI) 
   996 	     | Met => Method mI
   997 	     | pos => error ("header called with "^ pos_2str pos);
   998 
   999 
  1000 fun specify_additem sel (ct,_) (p,Met) c pt = 
  1001     let
  1002       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1003 		    probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1004       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1005     (*val ppt = if pI = e_pblID then get_pbt pI' else get_pbt pI;*)
  1006       val cpI = if pI = e_pblID then pI' else pI;
  1007       val cmI = if mI = e_metID then mI' else mI;
  1008       val {ppc,pre,prls,...} = get_met cmI;
  1009       val ctxt = get_ctxt pt (p,Met);
  1010     in case appl_add ctxt sel oris met ppc ct of
  1011       Add itm (*..union old input *) =>
  1012 	let (* val Add itm = appl_add thy sel oris met (#ppc (get_met cmI)) ct;
  1013                *)
  1014 	  val met' = insert_ppc thy itm met;
  1015 	  (*val pt' = update_met pt p met';*)
  1016 	  val ((p,Met),_,_,pt') = 
  1017 	      generate1 thy (case sel of
  1018 				 "#Given" => Add_Given' (ct, met')
  1019 			       | "#Find"  => Add_Find'  (ct, met')
  1020 			       | "#Relate"=> Add_Relation'(ct, met')) 
  1021 			(Uistate, e_ctxt) (p,Met) pt
  1022 	  val pre' = check_preconds thy prls pre met'
  1023 	  val pb = foldl and_ (true, map fst pre')
  1024 	  (*val _=tracing("@@@ specify_additem: Met Add before nxt_spec")*)
  1025 	  val (p_,nxt) =
  1026 	    nxt_spec Met pb oris (dI',pI',mI') (pbl,met') 
  1027 	    ((#ppc o get_pbt) cpI,ppc) (dI,pI,mI);
  1028 	in ((p,p_), ((p,p_),Uistate),
  1029 	    Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1030 			  (Method cmI, itms2itemppc thy met' pre'))),
  1031 	    nxt,Safe,pt') end
  1032     | Err msg =>
  1033 	  let val pre' = check_preconds thy prls pre met
  1034 	      val pb = foldl and_ (true, map fst pre')
  1035 	    (*val _=tracing("@@@ specify_additem: Met Err before nxt_spec")*)
  1036 	      val (p_,nxt) =
  1037 	    nxt_spec Met pb oris (dI',pI',mI') (pbl,met) 
  1038 	    ((#ppc o get_pbt) cpI,(#ppc o get_met) cmI) (dI,pI,mI);
  1039 	  in ((p,p_), ((p,p_),Uistate), Error' (Error_ msg), nxt, Safe,pt) end
  1040     end
  1041 (* val (p,_) = p;
  1042    *)
  1043 | specify_additem sel (ct,_) (pos as (p,_(*Frm, Pbl*))) c pt = 
  1044     let
  1045       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1046 		    probl=pbl,spec=(dI,pI,mI), ...}) = get_obj I pt p;
  1047       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1048       val cpI = if pI = e_pblID then pI' else pI;
  1049       val cmI = if mI = e_metID then mI' else mI;
  1050       val {ppc,where_,prls,...} = get_pbt cpI;
  1051       val ctxt = get_ctxt pt pos;
  1052     in case appl_add ctxt sel oris pbl ppc ct of
  1053       Add itm (*..union old input *) =>
  1054       (* val Add itm = appl_add thy sel oris pbl ppc ct;
  1055          *)
  1056 	let
  1057 	    (*val _= tracing("###specify_additem: itm= "^(itm2str_ itm));*)
  1058 	  val pbl' = insert_ppc thy itm pbl
  1059 	  val ((p,Pbl),_,_,pt') = 
  1060 	      generate1 thy (case sel of
  1061 				 "#Given" => Add_Given' (ct, pbl')
  1062 			       | "#Find"  => Add_Find'  (ct, pbl')
  1063 			       | "#Relate"=> Add_Relation'(ct, pbl')) 
  1064 			(Uistate, e_ctxt) (p,Pbl) pt
  1065 	  val pre = check_preconds thy prls where_ pbl'
  1066 	  val pb = foldl and_ (true, map fst pre)
  1067 	(*val _=tracing("@@@ specify_additem: Pbl Add before nxt_spec")*)
  1068 	  val (p_,nxt) =
  1069 	    nxt_spec Pbl pb oris (dI',pI',mI') (pbl',met) 
  1070 		     (ppc,(#ppc o get_met) cmI) (dI,pI,mI);
  1071 	  val ppc = if p_= Pbl then pbl' else met;
  1072 	in ((p,p_), ((p,p_),Uistate),
  1073 	    Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1074 			  (header p_ pI cmI,
  1075 			   itms2itemppc thy ppc pre))), nxt,Safe,pt') end
  1076 
  1077     | Err msg =>
  1078 	  let val pre = check_preconds thy prls where_ pbl
  1079 	      val pb = foldl and_ (true, map fst pre)
  1080 	    (*val _=tracing("@@@ specify_additem: Pbl Err before nxt_spec")*)
  1081 	      val (p_,nxt) =
  1082 	    nxt_spec Pbl pb oris (dI',pI',mI') (pbl,met) 
  1083 	    (ppc,(#ppc o get_met) cmI) (dI,pI,mI);
  1084 	  in ((p,p_), ((p,p_),Uistate), Error' (Error_ msg), nxt, Safe,pt) end
  1085     end;
  1086 
  1087 fun specify (Init_Proof' (fmz,(dI',pI',mI'))) (_:pos') (_:cid) (_:ptree)= 
  1088   let          (* either """"""""""""""" all empty or complete *)
  1089     val thy = assoc_thy dI';
  1090     val (oris, ctxt) = 
  1091       if dI' = e_domID orelse pI' = e_pblID 
  1092       then ([], e_ctxt)
  1093 	    else pI' |> #ppc o get_pbt |> prep_ori fmz thy
  1094     val (pt,c) = cappend_problem e_ptree [] (e_istate, ctxt) (fmz,(dI',pI',mI'))
  1095 			(oris, (dI',pI',mI'),e_term)
  1096       (*val pt = update_env pt [] (SOME (e_istate, ctxt)) FIXME.WN110511*)
  1097     val {ppc, prls, where_, ...} = get_pbt pI'
  1098     val (pbl, pre, pb) = ([], [], false)
  1099   in 
  1100     case mI' of
  1101 	    ["no_met"] => 
  1102 	      (([], Pbl), (([], Pbl), Uistate),
  1103 	        Form' (PpcKF (0, EdUndef, (length []), Nundef,
  1104 			      (Problem [], itms2itemppc (assoc_thy dI') pbl pre))),
  1105 	        Refine_Tacitly pI', Safe, pt)
  1106      | _ => 
  1107 	      (([], Pbl), (([], Pbl), Uistate),
  1108 	        Form' (PpcKF (0, EdUndef, (length []), Nundef,
  1109 			      (Problem [], itms2itemppc (assoc_thy dI') pbl pre))),
  1110 	        Model_Problem, Safe, pt)
  1111   end
  1112 
  1113     (*ONLY for STARTING modeling phase*)
  1114   | specify (Model_Problem' (_,pbl,met)) (pos as (p,p_)) c pt =
  1115       let 
  1116         val (PblObj{origin=(oris,(dI',pI',mI'),_), spec=(dI,_,_), ...}) = get_obj I pt p
  1117         val thy' = if dI = e_domID then dI' else dI
  1118         val thy = assoc_thy thy'
  1119         val {ppc,prls,where_,...} = get_pbt pI'
  1120         val pre = check_preconds thy prls where_ pbl
  1121         val pb = foldl and_ (true, map fst pre)
  1122         val ((p,_),_,_,pt) = generate1 thy (Model_Problem'([],pbl,met)) (Uistate, e_ctxt) pos pt
  1123         val (_,nxt) = nxt_spec Pbl pb oris (dI',pI',mI') (pbl,met) 
  1124 		      (ppc,(#ppc o get_met) mI') (dI',pI',mI');
  1125       in ((p, Pbl), ((p, p_), Uistate), 
  1126           Form' (PpcKF (0, EdUndef, length p, Nundef,
  1127 		       (Problem pI', itms2itemppc (assoc_thy dI') pbl pre))),
  1128           nxt, Safe, pt)
  1129       end
  1130 
  1131     (*. called only if no_met is specified .*)     
  1132   | specify (Refine_Tacitly' (pI,pIre,_,_,_)) (pos as (p,_)) c pt =
  1133       let
  1134         val (PblObj{origin=(oris,(dI',pI',mI'),_), meth=met, ...}) = get_obj I pt p;
  1135         val {prls,met,ppc,thy,where_,...} = get_pbt pIre
  1136         val (domID, metID) = 
  1137           (string_of_thy thy, if length met = 0 then e_metID else hd met)
  1138         val ((p,_),_,_,pt) = 
  1139 	        generate1 thy (Refine_Tacitly'(pI,pIre,domID,metID,(*pbl*)[])) 
  1140 		        (Uistate, e_ctxt) pos pt
  1141         val (pbl, pre, pb) = ([], [], false)
  1142       in ((p, Pbl), (pos, Uistate),
  1143         Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1144 		      (Problem pIre, itms2itemppc (assoc_thy dI') pbl pre))),
  1145         Model_Problem, Safe, pt)
  1146       end
  1147 
  1148   | specify (Refine_Problem' (rfd as (pI,_))) pos c pt =
  1149       let 
  1150         val (pos,_,_,pt) = generate1 (assoc_thy "Isac") 
  1151 				  (Refine_Problem' rfd) (Uistate, e_ctxt) pos pt
  1152       in (pos(*p,Pbl*), (pos(*p,Pbl*),Uistate), Problems (RefinedKF rfd), 
  1153 	      Model_Problem, Safe, pt)
  1154       end
  1155 
  1156   | specify (Specify_Problem' (pI, (ok, (itms, pre)))) (pos as (p,_)) c pt =
  1157   let val (PblObj {origin=(oris,(dI',pI',mI'),_), spec=(dI,_,mI), 
  1158 		   meth=met, ...}) = get_obj I pt p;
  1159     val thy = assoc_thy dI
  1160     val ((p,Pbl),_,_,pt)= 
  1161 	generate1 thy (Specify_Problem' (pI, (ok, (itms, pre)))) (Uistate, e_ctxt) pos pt
  1162     val dI'' = assoc_thy (if dI=e_domID then dI' else dI);
  1163     val mI'' = if mI=e_metID then mI' else mI;
  1164   (*val _=tracing("@@@ specify (Specify_Problem) before nxt_spec")*)
  1165     val (_,nxt) = nxt_spec Pbl ok oris (dI',pI',mI') (itms, met) 
  1166 		((#ppc o get_pbt) pI,(#ppc o get_met) mI'') (dI,pI,mI);
  1167   in ((p,Pbl), (pos,Uistate),
  1168       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1169 		    (Problem pI, itms2itemppc dI'' itms pre))),
  1170       nxt, Safe, pt) end    
  1171 (* val Specify_Method' mID = nxt; val (p,_) = p;
  1172    val Specify_Method' mID = m;
  1173    specify (Specify_Method' mID) (p,p_) c pt;
  1174    *)
  1175   | specify (Specify_Method' (mID,_,_)) (pos as (p,_)) c pt =
  1176   let val (PblObj {origin=(oris,(dI',pI',mI'),_), probl=pbl, spec=(dI,pI,mI), 
  1177 		   meth=met, ...}) = get_obj I pt p;
  1178     val {ppc,pre,prls,...} = get_met mID
  1179     val thy = assoc_thy dI
  1180     val oris = add_field' thy ppc oris;
  1181     (*val pt = update_oris pt p oris; 20.3.02: repl. "#undef"*)
  1182     val dI'' = if dI=e_domID then dI' else dI;
  1183     val pI'' = if pI = e_pblID then pI' else pI;
  1184     val met = if met=[] then pbl else met;
  1185     val (ok, (itms, pre')) = match_itms_oris thy met (ppc,pre,prls ) oris;
  1186     (*val pt = update_met pt p itms;
  1187     val pt = update_metID pt p mID*)
  1188     val (pos,_,_,pt)= 
  1189 	generate1 thy (Specify_Method' (mID, oris, itms)) (Uistate, e_ctxt) pos pt
  1190     (*val _=tracing("@@@ specify (Specify_Method) before nxt_spec")*)
  1191     val (_,nxt) = nxt_spec Met (*ok*)true oris (dI',pI',mI') (pbl, itms) 
  1192 		((#ppc o get_pbt) pI'',ppc) (dI'',pI'',mID);
  1193   in (pos, (pos,Uistate),
  1194       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1195 		    (Method mID, itms2itemppc (assoc_thy dI'') itms pre'))),
  1196       nxt, Safe, pt) end    
  1197 (* val Add_Find' ct = nxt; val sel = "#Find"; 
  1198    *)
  1199   | specify (Add_Given' ct) p c pt = specify_additem "#Given" ct p c pt
  1200   | specify (Add_Find'  ct) p c pt = specify_additem "#Find"  ct p c pt
  1201   | specify (Add_Relation' ct) p c pt=specify_additem"#Relate"ct p c pt
  1202 (* val Specify_Theory' domID = m;
  1203    val (Specify_Theory' domID, (p,p_)) = (m, pos);
  1204    *)
  1205   | specify (Specify_Theory' domID) (pos as (p,p_)) c pt =
  1206     let val p_ = case p_ of Met => Met | _ => Pbl
  1207       val thy = assoc_thy domID;
  1208       val (PblObj{origin=(oris,(dI',pI',mI'),_), meth=met,
  1209 		    probl=pbl, spec=(dI,pI,mI), ...}) = get_obj I pt p;
  1210       val mppc = case p_ of Met => met | _ => pbl;
  1211       val cpI = if pI = e_pblID then pI' else pI;
  1212       val {prls=per,ppc,where_=pwh,...} = get_pbt cpI
  1213       val cmI = if mI = e_metID then mI' else mI;
  1214       val {prls=mer,ppc=mpc,pre=mwh,...} = get_met cmI
  1215       val pre = 
  1216 	  case p_ of
  1217 	      Met => (check_preconds thy mer mwh met)
  1218 	    | _ => (check_preconds thy per pwh pbl)
  1219       val pb = foldl and_ (true, map fst pre)
  1220     in if domID = dI
  1221        then let 
  1222 	 (*val _=tracing("@@@ specify (Specify_Theory) THEN before nxt_spec")*)
  1223            val (p_,nxt) = nxt_spec p_ pb oris (dI',pI',mI') 
  1224 				   (pbl,met) (ppc,mpc) (dI,pI,mI);
  1225 	      in ((p,p_), (pos,Uistate), 
  1226 		  Form'(PpcKF (0,EdUndef,(length p), Nundef,
  1227 			       (header p_ pI cmI, itms2itemppc thy mppc pre))),
  1228 		  nxt,Safe,pt) end
  1229        else (*FIXME: check ppc wrt. (new!) domID ..? still parsable?*)
  1230 	 let 
  1231 	   (*val pt = update_domID pt p domID;11.8.03*)
  1232 	   val ((p,p_),_,_,pt) = generate1 thy (Specify_Theory' domID) 
  1233 					   (Uistate, e_ctxt) (p,p_) pt
  1234 	 (*val _=tracing("@@@ specify (Specify_Theory) ELSE before nxt_spec")*)
  1235 	   val (p_,nxt) = nxt_spec p_ pb oris (dI',pI',mI') (pbl,met) 
  1236 				   (ppc,mpc) (domID,pI,mI);
  1237 	 in ((p,p_), (pos,Uistate), 
  1238 	     Form' (PpcKF (0, EdUndef, (length p),Nundef,
  1239 			   (header p_ pI cmI, itms2itemppc thy mppc pre))),
  1240 	     nxt, Safe,pt) end
  1241     end
  1242 (* itms2itemppc thy [](*mpc*) pre
  1243    *)
  1244   | specify m' _ _ _ = 
  1245     error ("specify: not impl. for "^tac_2str m');
  1246 
  1247 fun nxt_specif_additem sel ct (ptp as (pt, (p, Pbl))) = 
  1248       let
  1249         val (PblObj{meth=met,origin=(oris,(dI',pI',_),_),
  1250 		      probl=pbl,spec=(dI,pI,_), ...}) = get_obj I pt p;
  1251         val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1252         val cpI = if pI = e_pblID then pI' else pI;
  1253         val ctxt = get_ctxt pt (p, Pbl); (*FIXME.WN110511 repair*)
  1254       in
  1255         case appl_add ctxt sel oris pbl ((#ppc o get_pbt) cpI) ct of
  1256 	        Add itm (*..union old input *) =>
  1257 	          let
  1258 	            (*val _=tracing("###nxt_specif_additem: itm= "^(itm2str_ itm));*)
  1259 	            val pbl' = insert_ppc thy itm pbl
  1260 	            val (tac,tac_) = 
  1261 		            case sel of
  1262 		              "#Given" => (Add_Given    ct, Add_Given'   (ct, pbl'))
  1263 		            | "#Find"  => (Add_Find     ct, Add_Find'    (ct, pbl'))
  1264 		            | "#Relate"=> (Add_Relation ct, Add_Relation'(ct, pbl'))
  1265 	            val ((p,Pbl),c,_,pt') = 
  1266 		            generate1 thy tac_ (Uistate, e_ctxt) (p,Pbl) pt
  1267 	          in ([(tac,tac_,((p,Pbl),(Uistate, e_ctxt)))], c, (pt',(p,Pbl))):calcstate' 
  1268             end	       
  1269 	      | Err msg => 
  1270 	          (*TODO.WN03 pass error-msgs to the frontend..
  1271               FIXME ..and dont abuse a tactic for that purpose*)
  1272 	          ([(Tac msg, Tac_ (Thy_Info.get_theory "Pure", msg,msg,msg),
  1273 	            (e_pos', (e_istate, e_ctxt)))], [], ptp) 
  1274       end
  1275   | nxt_specif_additem sel ct (ptp as (pt,(p,Met))) = 
  1276       let
  1277         val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1278 		      probl=pbl,spec=(dI,pI,mI), ...}) = get_obj I pt p;
  1279         val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1280         val cmI = if mI = e_metID then mI' else mI;
  1281         val ctxt = get_ctxt pt (p,Met); (*FIXME.WN110511 repair*)
  1282       in 
  1283         case appl_add ctxt sel oris met ((#ppc o get_met) cmI) ct of
  1284           Add itm (*..union old input *) =>
  1285 	          let
  1286 	            val met' = insert_ppc thy itm met;
  1287 	            val (tac,tac_) = 
  1288 	              case sel of
  1289 		              "#Given" => (Add_Given    ct, Add_Given'   (ct, met'))
  1290 		            | "#Find"  => (Add_Find     ct, Add_Find'    (ct, met'))
  1291 		            | "#Relate"=> (Add_Relation ct, Add_Relation'(ct, met'))
  1292 	            val ((p,Met),c,_,pt') = 
  1293 	              generate1 thy tac_ (Uistate, e_ctxt) (p,Met) pt
  1294 	          in ([(tac,tac_,((p,Met), (Uistate, e_ctxt)))], c, (pt',(p,Met))) end
  1295         | Err msg => ([(*tacis*)], [], ptp) 
  1296           (*nxt_me collects tacis until not hide; here just no progress*)
  1297       end;
  1298 
  1299 fun ori2Coritm pbt ((i,v,f,d,ts):ori) =
  1300     (i,v,true,f, Cor ((d,ts),(((snd o snd o the o (find_first (eq1 d))) pbt) 
  1301 			      handle _ => error ("ori2Coritm: dsc "^
  1302 						term2str d^
  1303 						"in ori, but not in pbt")
  1304 			      ,ts))):itm;
  1305 fun ori2Coritm (pbt:pat list) ((i,v,f,d,ts):ori) =
  1306     ((i,v,true,f, Cor ((d,ts),((snd o snd o the o 
  1307 			       (find_first (eq1 d))) pbt,ts))):itm)
  1308     handle _ => (*dsc in oris, but not in pbl pat list: keep this dsc*)
  1309     ((i,v,true,f, Cor ((d,ts),(d,ts))):itm);
  1310 
  1311 
  1312 (*filter out oris which have same description in itms*)
  1313 fun filter_outs oris [] = oris
  1314   | filter_outs oris (i::itms) = 
  1315     let val ors = filter_out ((curry op= ((d_in o #5) (i:itm))) o 
  1316 			      (#4:ori -> term)) oris;
  1317     in filter_outs ors itms end;
  1318 
  1319 fun memI a b = member op = a b;
  1320 (*filter oris which are in pbt, too*)
  1321 fun filter_pbt oris pbt =
  1322     let val dscs = map (fst o snd) pbt
  1323     in filter ((memI dscs) o (#4: ori -> term)) oris end;
  1324 
  1325 (*.combine itms from pbl + met and complete them wrt. pbt.*)
  1326 (*FIXXXME.WN031205 complete_metitms doesnt handle incorrect itms !*)
  1327 local infix mem;
  1328 fun x mem [] = false
  1329   | x mem (y :: ys) = x = y orelse x mem ys;
  1330 in 
  1331 fun complete_metitms (oris:ori list) (pits:itm list) (mits:itm list) met = 
  1332 (* val met = (#ppc o get_met) ["DiffApp","max_by_calculus"];
  1333    *)
  1334     let val vat = max_vt pits;
  1335         val itms = pits @ 
  1336 		   (filter ((curry (op mem) vat) o (#2:itm -> int list)) mits);
  1337 	val ors = filter ((curry (op mem) vat) o (#2:ori -> int list)) oris;
  1338         val os = filter_outs ors itms;
  1339     (*WN.12.03?: does _NOT_ add itms from met ?!*)
  1340     in itms @ (map (ori2Coritm met) os) end
  1341 end;
  1342 
  1343 
  1344 
  1345 (*.complete model and guard of a calc-head .*)
  1346 local infix mem;
  1347 fun x mem [] = false
  1348   | x mem (y :: ys) = x = y orelse x mem ys;
  1349 in 
  1350 fun complete_mod_ (oris, mpc, ppc, probl) =
  1351     let	val pits = filter_out ((curry op= false) o (#3: itm -> bool)) probl
  1352 	val vat = if probl = [] then 1 else max_vt probl
  1353 	val pors = filter ((curry (op mem) vat) o (#2:ori -> int list)) oris
  1354 	val pors = filter_outs pors pits (*which are in pbl already*)
  1355         val pors = (filter_pbt pors ppc) (*which are in pbt, too*)
  1356 
  1357 	val pits = pits @ (map (ori2Coritm ppc) pors)
  1358 	val mits = complete_metitms oris pits [] mpc
  1359     in (pits, mits) end
  1360 end;
  1361 
  1362 fun some_spec ((odI, opI, omI):spec) ((dI, pI, mI):spec) =
  1363     (if dI = e_domID then odI else dI,
  1364      if pI = e_pblID then opI else pI,
  1365      if mI = e_metID then omI else mI):spec;
  1366 
  1367 
  1368 (*.find a next applicable tac (for calcstate) and update ptree
  1369  (for ev. finding several more tacs due to hide).*)
  1370 (*FIXXXME: unify ... fun nxt_specif = nxt_spec + applicable_in + specify !!*)
  1371 (*WN.24.10.03        ~~~~~~~~~~~~~~   -> tac     -> tac_      -> -"- as arg*)
  1372 (*WN.24.10.03        fun nxt_solv   = ...................................??*)
  1373 fun nxt_specif (tac as Model_Problem) (pt, pos as (p,p_)) =
  1374     let
  1375       val PblObj {origin = (oris, ospec, _), probl, spec, ...} = get_obj I pt p
  1376       val (dI, pI, mI) = some_spec ospec spec
  1377       val thy = assoc_thy dI
  1378       val mpc = (#ppc o get_met) mI (* just for reuse complete_mod_ *)
  1379       val {cas, ppc, ...} = get_pbt pI
  1380       val pbl = init_pbl ppc (* fill in descriptions *)
  1381       (*----------------if you think, this should be done by the Dialog 
  1382        in the java front-end, search there for WN060225-modelProblem----*)
  1383       val (pbl, met) = 
  1384         case cas of NONE => (pbl, [])
  1385   			| _ => complete_mod_ (oris, mpc, ppc, probl)
  1386       (*----------------------------------------------------------------*)
  1387       val tac_ = Model_Problem' (pI, pbl, met)
  1388       val (pos,c,_,pt) = generate1 thy tac_ (Uistate, e_ctxt) pos pt
  1389     in ([(tac,tac_, (pos, (Uistate, e_ctxt)))], c, (pt,pos)):calcstate' end
  1390 
  1391   | nxt_specif (Add_Given ct) ptp = nxt_specif_additem "#Given" ct ptp
  1392   | nxt_specif (Add_Find  ct) ptp = nxt_specif_additem "#Find"  ct ptp
  1393   | nxt_specif (Add_Relation ct) ptp = nxt_specif_additem"#Relate" ct ptp
  1394 
  1395     (*. called only if no_met is specified .*)     
  1396   | nxt_specif (Refine_Tacitly pI) (ptp as (pt, pos as (p,_))) =
  1397       let 
  1398         val (PblObj {origin = (oris, (dI,_,_),_), ...}) = get_obj I pt p
  1399         val opt = refine_ori oris pI
  1400       in 
  1401         case opt of
  1402 	        SOME pI' => 
  1403 	          let 
  1404               val {met,ppc,...} = get_pbt pI'
  1405 	            val pbl = init_pbl ppc
  1406 	            (*val pt = update_pbl pt p pbl ..done by Model_Problem*)
  1407 	            val mI = if length met = 0 then e_metID else hd met
  1408               val thy = assoc_thy dI
  1409 	            val (pos,c,_,pt) = 
  1410 		            generate1 thy (Refine_Tacitly' (pI,pI',dI,mI,(*pbl*)[])) 
  1411 			            (Uistate, e_ctxt) pos pt
  1412 	          in ([(Refine_Tacitly pI, Refine_Tacitly' (pI,pI',dI,mI,(*pbl*)[]),
  1413 		          (pos, (Uistate, e_ctxt)))], c, (pt,pos)) 
  1414             end
  1415 	      | NONE => ([], [], ptp)
  1416       end
  1417 
  1418   | nxt_specif (Refine_Problem pI) (ptp as (pt, pos as (p,_))) =
  1419       let
  1420         val (PblObj {origin=(_,(dI,_,_),_),spec=(dI',_,_), probl, ...}) = get_obj I pt p
  1421 	      val thy = if dI' = e_domID then dI else dI'
  1422       in 
  1423         case refine_pbl (assoc_thy thy) pI probl of
  1424 	        NONE => ([], [], ptp)
  1425 	      | SOME (rfd as (pI',_)) => 
  1426 	          let 
  1427               val (pos,c,_,pt) = generate1 (assoc_thy thy) 
  1428 			          (Refine_Problem' rfd) (Uistate, e_ctxt) pos pt
  1429 	          in ([(Refine_Problem pI, Refine_Problem' rfd,
  1430 			        (pos, (Uistate, e_ctxt)))], c, (pt,pos))
  1431             end
  1432       end
  1433 
  1434   | nxt_specif (Specify_Problem pI) (pt, pos as (p,_)) =
  1435       let
  1436         val (PblObj {origin=(oris,(dI,_,_),_),spec=(dI',pI',_), probl, ...}) = get_obj I pt p;
  1437 	      val thy = assoc_thy (if dI' = e_domID then dI else dI');
  1438         val {ppc,where_,prls,...} = get_pbt pI
  1439 	      val pbl as (_,(itms,_)) = 
  1440 	        if pI'=e_pblID andalso pI=e_pblID
  1441 	        then (false, (init_pbl ppc, []))
  1442 	        else match_itms_oris thy probl (ppc,where_,prls) oris(*FIXXXXXME?*)
  1443 	        (*FIXXXME~~~~~~~~~~~~~~~: take pbl and compare with new pI WN.8.03*)
  1444 	      val ((p,Pbl),c,_,pt) = 
  1445 	        generate1 thy (Specify_Problem' (pI, pbl)) (Uistate, e_ctxt) pos pt
  1446       in ([(Specify_Problem pI, Specify_Problem' (pI, pbl),
  1447 		    (pos,(Uistate, e_ctxt)))], c, (pt,pos))
  1448       end
  1449 
  1450   (*transfers oris (not required in pbl) to met-model for script-env
  1451     FIXME.WN.8.03: application of several mIDs to SAME model?*)
  1452   | nxt_specif (Specify_Method mID) (ptp as (pt, pos as (p,_))) = 
  1453       let
  1454         val (PblObj {origin=(oris,(dI',pI',mI'),_), probl=pbl, spec=(dI,pI,mI), 
  1455           meth=met, ...}) = get_obj I pt p;
  1456         val {ppc,pre,prls,...} = get_met mID
  1457         val thy = assoc_thy dI
  1458         val oris = add_field' thy ppc oris;
  1459         val dI'' = if dI=e_domID then dI' else dI;
  1460         val pI'' = if pI = e_pblID then pI' else pI;
  1461         val met = if met=[] then pbl else met;(*WN0602 what if more itms in met?*)
  1462         val (ok, (itms, pre')) = match_itms_oris thy met (ppc,pre,prls ) oris;
  1463         val (pos,c,_,pt)= 
  1464 	        generate1 thy (Specify_Method' (mID, oris, itms)) (Uistate, e_ctxt) pos pt
  1465       in ([(Specify_Method mID, Specify_Method' (mID, oris, itms),
  1466 		    (pos,(Uistate, e_ctxt)))], c, (pt,pos)) 
  1467       end    
  1468 
  1469   | nxt_specif (Specify_Theory dI) (pt, pos as (p,Pbl)) =
  1470       let
  1471         val (dI',_,_) = get_obj g_spec pt p
  1472 	      val (pos,c,_,pt) = 
  1473 	        generate1 (assoc_thy "Isac") (Specify_Theory' dI)  (Uistate, e_ctxt) pos pt
  1474       in  (*FIXXXME: check if pbl can still be parsed*)
  1475 	      ([(Specify_Theory dI, Specify_Theory' dI, (pos,(Uistate, e_ctxt)))], c,
  1476 	        (pt, pos))
  1477       end
  1478 
  1479   | nxt_specif (Specify_Theory dI) (pt, pos as (p,Met)) =
  1480       let
  1481         val (dI',_,_) = get_obj g_spec pt p
  1482 	      val (pos,c,_,pt) = 
  1483 	        generate1 (assoc_thy "Isac") (Specify_Theory' dI) (Uistate, e_ctxt) pos pt
  1484       in  (*FIXXXME: check if met can still be parsed*)
  1485 	      ([(Specify_Theory dI, Specify_Theory' dI, (pos,(Uistate, e_ctxt)))], c,
  1486 	        (pt, pos))
  1487       end
  1488 
  1489   | nxt_specif m' _ = 
  1490     error ("nxt_specif: not impl. for "^tac2str m');
  1491 
  1492 (* get the values from oris; handle the term list w.r.t. penv *)
  1493 local infix mem;
  1494 fun x mem [] = false
  1495   | x mem (y :: ys) = x = y orelse x mem ys;
  1496 in 
  1497 fun vals_of_oris oris =
  1498     ((map (mkval' o (#5:ori -> term list))) o 
  1499      (filter ((curry (op mem) 1) o (#2:ori -> int list)))) oris
  1500 end;
  1501 
  1502 (* create a calc-tree with oris via an cas.refined pbl *)
  1503 fun nxt_specify_init_calc (([], (dI, pI, mI)) : fmz) =
  1504       if pI <> [] 
  1505       then (* from pbl-browser or from CAS cmd with pI=[e_pblID] *)
  1506 	      let 
  1507           val {cas, met, ppc, thy, ...} = get_pbt pI
  1508 	        val dI = if dI = "" then theory2theory' thy else dI
  1509 	        val thy = assoc_thy dI
  1510 	        val mI = if mI = [] then hd met else mI
  1511 	        val hdl = case cas of NONE => pblterm dI pI | SOME t => t
  1512 	        val (pt,_) = cappend_problem e_ptree [] (Uistate, e_ctxt) ([], (dI,pI,mI))
  1513 					  ([], (dI,pI,mI), hdl)
  1514 	        val pt = update_spec pt [] (dI,pI,mI)
  1515 	        val pits = init_pbl' ppc
  1516 	        val pt = update_pbl pt [] pits
  1517 	      in ((pt, ([] ,Pbl)), []) : calcstate end
  1518       else 
  1519         if mI <> [] 
  1520         then (* from met-browser *)
  1521 	        let 
  1522             val {ppc,...} = get_met mI
  1523 	          val dI = if dI = "" then "Isac" else dI
  1524 	          val thy = assoc_thy dI;
  1525 	          val (pt,_) = cappend_problem e_ptree [] (e_istate, e_ctxt) ([], (dI,pI,mI))
  1526 					    ([], (dI,pI,mI), e_term(*FIXME met*));
  1527 	          val pt = update_spec pt [] (dI,pI,mI);
  1528 	          val mits = init_pbl' ppc;
  1529 	          val pt = update_met pt [] mits;
  1530 	        in ((pt, ([], Met)), []) : calcstate end
  1531         else (* new example, pepare for interactive modeling *)
  1532 	        let val (pt,_) = cappend_problem e_ptree [] (e_istate, e_ctxt) ([], e_spec)
  1533 					  ([], e_spec, e_term)
  1534 	        in ((pt, ([], Pbl)), []) : calcstate end
  1535 
  1536   | nxt_specify_init_calc (fmz : fmz_, (dI, pI, mI) : spec) = 
  1537       let           (* both """"""""""""""""""""""""" either empty or complete *)
  1538 	      val thy = assoc_thy dI
  1539 	      val (pI, (pors, pctxt), mI) = 
  1540 	        if mI = ["no_met"] 
  1541 	        then 
  1542             let 
  1543               val (pors, pctxt) = get_pbt pI |> #ppc |> prep_ori fmz thy;
  1544 		          val pI' = refine_ori' pors pI;
  1545 		        in (pI', (pors(*refinement over models with diff.precond only*), pctxt),
  1546 		          (hd o #met o get_pbt) pI') end
  1547 	        else (pI, get_pbt pI |> #ppc |> prep_ori fmz thy, mI)
  1548 	      val {cas, ppc, thy=thy',...} = get_pbt pI (*take dI from _refined_ pbl*)
  1549 	      val dI = theory2theory' (maxthy thy thy');
  1550 	      val hdl = 
  1551           case cas of
  1552 		        NONE => pblterm dI pI
  1553 		      | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals_of_oris pors) t;
  1554         val (pt, _) = cappend_problem e_ptree [] (e_istate, pctxt) (fmz, (dI, pI, mI))
  1555 				  (pors, (dI, pI, mI), hdl)
  1556           (* val pt = update_env pt [] (SOME (e_istate, pctxt)) FIXME.WN110511*)
  1557       in ((pt, ([], Pbl)), 
  1558         fst3 (nxt_specif Model_Problem (pt, ([], Pbl)))) : calcstate
  1559       end;
  1560 
  1561 
  1562 
  1563 (*18.12.99*)
  1564 fun get_spec_form (m:tac_) ((p,p_):pos') (pt:ptree) = 
  1565 (*  case appl_spec p pt m of           /// 19.1.00
  1566     Notappl e => Error' (Error_ e)
  1567   | Appl => 
  1568 *)    let val (_,_,f,_,_,_) = specify m (p,p_) [] pt
  1569       in f end;
  1570 
  1571 
  1572 (*fun tag_form thy (formal, given) = cterm_of thy
  1573 	      (((head_of o term_of) given) $ (term_of formal)); WN100819*)
  1574 fun tag_form thy (formal, given) =
  1575     (let val gf = (head_of given) $ formal;
  1576          val _ = cterm_of thy gf
  1577      in gf end)
  1578     handle _ =>
  1579            error ("calchead.tag_form: " ^ 
  1580                   Print_Mode.setmp [] (Syntax.string_of_term
  1581                                            (thy2ctxt thy)) given ^ " .. " ^
  1582                   Print_Mode.setmp [] (Syntax.string_of_term
  1583                                            (thy2ctxt thy)) formal ^
  1584                   " ..types do not match");
  1585 (* val formal = (the o (parse thy)) "[R::real]";
  1586 > val given = (the o (parse thy)) "fixed_values (cs::real list)";
  1587 > tag_form thy (formal, given);
  1588 val it = "fixed_values [R]" : cterm
  1589 *)
  1590 
  1591 fun chktyp thy (n, fs, gs) = 
  1592   ((writeln o (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) o
  1593     (nth n)) fs;
  1594    (writeln o (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) o
  1595     (nth n)) gs;
  1596    tag_form thy (nth n fs, nth n gs));
  1597 fun chktyps thy (fs, gs) = map (tag_form thy) (fs ~~ gs);
  1598 
  1599 (* #####################################################
  1600    find the failing item:
  1601 > val n = 2;
  1602 > val tag__form = chktyp (n,formals,givens);
  1603 > (type_of o term_of o (nth n)) formals; 
  1604 > (type_of o term_of o (nth n)) givens;
  1605 > atomty ((term_of o (nth n)) formals);
  1606 > atomty ((term_of o (nth n)) givens);
  1607 > atomty (term_of tag__form);
  1608 > use_thy"isa-98-1-HOL-plus/knowl-base/DiffAppl";
  1609  ##################################################### *)
  1610 
  1611 (* #####################################################
  1612    testdata setup
  1613 val origin = ["sqrt(9+4*x)=sqrt x + sqrt(5+x)","x::rat","(+0)"];
  1614 val formals = map (the o (parse thy)) origin;
  1615 
  1616 val given  = ["equation (lhs=rhs)",
  1617 	     "bound_variable bdv",   (* TODO type *) 
  1618 	     "error_bound apx"];
  1619 val where_ = ["e is_root_equation_in bdv",
  1620 	      "bdv is_var",
  1621 	      "apx is_const_expr"];
  1622 val find   = ["L::rat set"];
  1623 val with_  = ["L = {bdv. || ((%x. lhs) bdv) - ((%x. rhs) bdv) || < apx}"];
  1624 val chkpbl = map (the o (parse thy)) (given @ where_ @ find @ with_);
  1625 val givens = map (the o (parse thy)) given;
  1626 
  1627 val tag__forms = chktyps (formals, givens);
  1628 map ((atomty) o term_of) tag__forms;
  1629  ##################################################### *)
  1630 
  1631 
  1632 (* check pbltypes, announces one failure a time *)
  1633 (*fun chk_vars ctppc = 
  1634   let val {Given=gi,Where=wh,Find=fi,With=wi,Relate=re} = 
  1635     appc flat (mappc (vars o term_of) ctppc)
  1636   in if (wh\\gi) <> [] then ("wh\\gi",wh\\gi)
  1637      else if (re\\(gi union fi)) <> [] 
  1638 	    then ("re\\(gi union fi)",re\\(gi union fi))
  1639 	  else ("ok",[]) end;*)
  1640 fun chk_vars ctppc = 
  1641   let val {Given=gi,Where=wh,Find=fi,With=wi,Relate=re} = 
  1642           appc flat (mappc vars ctppc)
  1643       val chked = subtract op = gi wh
  1644   in if chked <> [] then ("wh\\gi", chked)
  1645      else let val chked = subtract op = (union op = gi fi) re
  1646           in if chked  <> []
  1647 	     then ("re\\(gi union fi)", chked)
  1648 	     else ("ok", []) 
  1649           end
  1650   end;
  1651 
  1652 (* check a new pbltype: variables (Free) unbound by given, find*) 
  1653 fun unbound_ppc ctppc =
  1654   let val {Given=gi,Find=fi,Relate=re,...} = 
  1655     appc flat (mappc vars ctppc)
  1656   in distinct (*re\\(gi union fi)*) 
  1657               (subtract op = (union op = gi fi) re) end;
  1658 (*
  1659 > val org = {Given=["[R=(R::real)]"],Where=[],
  1660 	   Find=["[A::real]"],With=[],
  1661 	   Relate=["[A=#2*a*b - a^^^#2, (a//#2)^^^#2 + (b//#2)^^^#2 = R^^^#2]"]
  1662 	   }:string ppc;
  1663 > val ctppc = mappc (the o (parse thy)) org;
  1664 > unbound_ppc ctppc;
  1665 val it = [("a","RealDef.real"),("b","RealDef.real")] : (string * typ) list
  1666 *)
  1667 
  1668 
  1669 (* f, a binary operator, is nested rightassociative *)
  1670 fun foldr1 f xs =
  1671   let
  1672     fun fld f (x::[]) = x
  1673       | fld f (x::x'::[]) = f (x',x)
  1674       | fld f (x::x'::xs) = f (fld f (x'::xs),x);
  1675   in ((fld f) o rev) xs end;
  1676 (*
  1677 > val (SOME ct) = parse thy "[a=b,c=d,e=f]";
  1678 > val ces = map (cterm_of thy) (isalist2list (term_of ct));
  1679 > val conj = foldr1 HOLogic.mk_conj (isalist2list (term_of ct));
  1680 > cterm_of thy conj;
  1681 val it = "(a = b & c = d) & e = f" : cterm
  1682 *)
  1683 
  1684 (* f, a binary operator, is nested leftassociative *)
  1685 fun foldl1 f (x::[]) = x
  1686   | foldl1 f (x::x'::[]) = f (x,x')
  1687   | foldl1 f (x::x'::xs) = f (x,foldl1 f (x'::xs));
  1688 (*
  1689 > val (SOME ct) = parse thy "[a=b,c=d,e=f,g=h]";
  1690 > val ces = map (cterm_of thy) (isalist2list (term_of ct));
  1691 > val conj = foldl1 HOLogic.mk_conj (isalist2list (term_of ct));
  1692 > cterm_of thy conj;
  1693 val it = "a = b & c = d & e = f & g = h" : cterm
  1694 *)
  1695 
  1696 
  1697 (* called only once, if a Subproblem has been located in the script*)
  1698 fun nxt_model_pbl (Subproblem'((_,pblID,metID),_,_,_,_,_)) ptp =
  1699      (case metID of
  1700 	      ["no_met"] => 
  1701 	        (snd3 o hd o fst3) (nxt_specif (Refine_Tacitly pblID) ptp)
  1702       | _ => (snd3 o hd o fst3) (nxt_specif Model_Problem ptp))
  1703         (*all stored in tac_ itms^^^^^^^^^^*)
  1704   | nxt_model_pbl tac_ _ = 
  1705       error ("nxt_model_pbl: called by tac= " ^ tac_2str tac_);
  1706 
  1707 (*fun eq1 d (_,(d',_)) = (d = d'); ---modspec.sml*)
  1708 fun eq4 v (_,vts,_,_,_) = member op = vts v;
  1709 fun eq5 (_,_,_,_,itm_) (_,_,_,d,_) = d_in itm_ = d;
  1710 
  1711  
  1712 (*.complete _NON_empty calc-head for autocalc (sub-)pbl from oris
  1713   + met from fmz; assumes pos on PblObj, meth = [].*)
  1714 fun complete_mod (pt, pos as (p, p_):pos') =
  1715 (* val (pt, (p, _)) = (pt, p);
  1716    val (pt, (p, _)) = (pt, pos);
  1717    *)
  1718     let val _= if p_ <> Pbl 
  1719 	       then tracing("###complete_mod: only impl.for Pbl, called with "^
  1720 			    pos'2str pos) else ()
  1721 	val (PblObj{origin=(oris, ospec, hdl), probl, spec, ...}) =
  1722 	    get_obj I pt p
  1723 	val (dI,pI,mI) = some_spec ospec spec
  1724 	val mpc = (#ppc o get_met) mI
  1725 	val ppc = (#ppc o get_pbt) pI
  1726 	val (pits, mits) = complete_mod_ (oris, mpc, ppc, probl)
  1727         val pt = update_pblppc pt p pits
  1728 	val pt = update_metppc pt p mits
  1729     in (pt, (p,Met):pos') end
  1730 ;
  1731 (*| complete_mod (pt, pos as (p, Met):pos') =
  1732     error ("###complete_mod: only impl.for Pbl, called with "^
  1733 		 pos'2str pos);*)
  1734 
  1735 (*.complete _EMPTY_ calc-head for autocalc (sub-)pbl from oris(+met from fmz);
  1736    oris and spec (incl. pbl-refinement) given from init_calc or SubProblem .*)
  1737 fun all_modspec (pt, (p,_):pos') =
  1738   let 
  1739     val (PblObj{fmz=(fmz_,_), origin=(pors, spec as (dI,pI,mI), hdl),
  1740 		  ...}) = get_obj I pt p;
  1741     val thy = assoc_thy dI;
  1742 	  val {ppc,...} = get_met mI;
  1743 	  val mors = prep_ori fmz_ thy ppc |> #1;
  1744     val pt = update_pblppc pt p (map (ori2Coritm ppc) pors);
  1745 	  val pt = update_metppc pt p (map (ori2Coritm ppc) mors);
  1746 	  val pt = update_spec pt p (dI,pI,mI);
  1747   in (pt, (p,Met): pos') end;
  1748 
  1749 (*WN.12.03: use in nxt_spec, too ? what about variants ???*)
  1750 fun is_complete_mod_ ([]: itm list) = false
  1751   | is_complete_mod_ itms = 
  1752     foldl and_ (true, (map #3 itms));
  1753 
  1754 fun is_complete_mod (pt, pos as (p, Pbl): pos') =
  1755       if (is_pblobj o (get_obj I pt)) p 
  1756       then (is_complete_mod_ o (get_obj g_pbl pt)) p
  1757       else error ("is_complete_mod: called by PrfObj at "^pos'2str pos)
  1758   | is_complete_mod (pt, pos as (p, Met)) = 
  1759       if (is_pblobj o (get_obj I pt)) p 
  1760       then (is_complete_mod_ o (get_obj g_met pt)) p
  1761       else error ("is_complete_mod: called by PrfObj at "^pos'2str pos)
  1762   | is_complete_mod (_, pos) =
  1763       error ("is_complete_mod called by " ^ pos'2str pos ^
  1764 		    " (should be Pbl or Met)");
  1765 
  1766 (*.have (thy, pbl, met) _all_ been specified explicitly ?.*)
  1767 fun is_complete_spec (pt, pos as (p,_): pos') = 
  1768     if (not o is_pblobj o (get_obj I pt)) p 
  1769     then error ("is_complete_spec: called by PrfObj at "^pos'2str pos)
  1770     else let val (dI,pI,mI) = get_obj g_spec pt p
  1771 	 in dI<>e_domID andalso pI<>e_pblID andalso mI<>e_metID end;
  1772 (*.complete empty items in specification from origin (pbl, met ev.refined);
  1773   assumes 'is_complete_mod'.*)
  1774 fun complete_spec (pt, pos as (p,_): pos') = 
  1775     let val PblObj {origin = (_,ospec,_), spec,...} = get_obj I pt p
  1776 	val pt = update_spec pt p (some_spec ospec spec)
  1777     in (pt, pos) end;
  1778 
  1779 fun is_complete_modspec ptp = 
  1780     is_complete_mod ptp andalso is_complete_spec ptp;
  1781 
  1782 
  1783 
  1784 
  1785 fun pt_model (PblObj {meth,spec,origin=(_,spec',hdl),...}) Met =
  1786 (* val ((PblObj {meth,spec,origin=(_,spec',hdl),...}), Met) = (ppobj, p_);
  1787    *)
  1788     let val (_,_,metID) = get_somespec' spec spec'
  1789 	val pre = 
  1790 	    if metID = e_metID then []
  1791 	    else let val {prls,pre=where_,...} = get_met metID
  1792 		     val pre = check_preconds' prls where_ meth 0
  1793 		 in pre end
  1794 	val allcorrect = is_complete_mod_ meth
  1795 			 andalso foldl and_ (true, (map #1 pre))
  1796     in ModSpec (allcorrect, Met, hdl, meth, pre, spec) end
  1797   | pt_model (PblObj {probl,spec,origin=(_,spec',hdl),...}) _(*Frm,Pbl*) =
  1798 (* val ((PblObj {probl,spec,origin=(_,spec',hdl),...}),_) = (ppobj, p_);
  1799    *)
  1800     let val (_,pI,_) = get_somespec' spec spec'
  1801 	val pre =
  1802 	    if pI = e_pblID then []
  1803 	    else let val {prls,where_,cas,...} = get_pbt pI
  1804 		     val pre = check_preconds' prls where_ probl 0
  1805 		 in pre end
  1806 	val allcorrect = is_complete_mod_ probl
  1807 			 andalso foldl and_ (true, (map #1 pre))
  1808     in ModSpec (allcorrect, Pbl, hdl, probl, pre, spec) end;
  1809 
  1810 
  1811 fun pt_form (PrfObj {form,...}) = Form form
  1812   | pt_form (PblObj {probl,spec,origin=(_,spec',_),...}) =
  1813     let val (dI, pI, _) = get_somespec' spec spec'
  1814 	val {cas,...} = get_pbt pI
  1815     in case cas of
  1816 	   NONE => Form (pblterm dI pI)
  1817 	 | SOME t => Form (subst_atomic (mk_env probl) t)
  1818     end;
  1819 (*vvv takes the tac _generating_ the formula=result, asm ok....
  1820 fun pt_result (PrfObj {result=(t,asm), tac,...}) = 
  1821     (Form t, 
  1822      if null asm then NONE else SOME asm, 
  1823      SOME tac)
  1824   | pt_result (PblObj {result=(t,asm), origin = (_,ospec,_), spec,...}) =
  1825     let val (_,_,metID) = some_spec ospec spec
  1826     in (Form t, 
  1827 	if null asm then NONE else SOME asm, 
  1828 	if metID = e_metID then NONE else SOME (Apply_Method metID)) end;
  1829 -------------------------------------------------------------------------*)
  1830 
  1831 
  1832 (*.pt_extract returns
  1833       # the formula at pos
  1834       # the tactic applied to this formula
  1835       # the list of assumptions generated at this formula
  1836 	(by application of another tac to the preceding formula !)
  1837    pos is assumed to come from the frontend, ie. generated by moveDown.*)
  1838 (*cannot be in ctree.sml, because ModSpec has to be calculated*)
  1839 fun pt_extract (pt,([],Res)) =
  1840 (* val (pt,([],Res)) = ptp;
  1841    *)
  1842     (* ML_TODO 110417 get assumptions from ctxt !? *)
  1843     let val (f, asm) = get_obj g_result pt []
  1844     in (Form f, NONE, asm) end
  1845 (* val p = [3,2];
  1846    *)
  1847   | pt_extract (pt,(p,Res)) =
  1848 (* val (pt,(p,Res)) = ptp;
  1849    *)
  1850     let val (f, asm) = get_obj g_result pt p
  1851 	val tac = if last_onlev pt p
  1852 		  then if is_pblobj' pt (lev_up p)
  1853 		       then let val (PblObj{spec=(_,pI,_),...}) = 
  1854 				    get_obj I pt (lev_up p)
  1855 			    in if pI = e_pblID then NONE 
  1856 			       else SOME (Check_Postcond pI) end
  1857 		       else SOME End_Trans (*WN0502 TODO for other branches*)
  1858 		  else let val p' = lev_on p
  1859 		       in if is_pblobj' pt p'
  1860 			  then let val (PblObj{origin = (_,(dI,pI,_),_),...}) =
  1861 				       get_obj I pt p'
  1862 			       in SOME (Subproblem (dI, pI)) end
  1863 			  else if f = get_obj g_form pt p'
  1864 			  then SOME (get_obj g_tac pt p')
  1865 			  (*because this Frm          ~~~is not on worksheet*)
  1866 			  else SOME (Take (term2str (get_obj g_form pt p')))
  1867 		       end
  1868     in (Form f, tac, asm) end
  1869 	
  1870   | pt_extract (pt, pos as (p,p_(*Frm,Pbl*))) =
  1871 (* val (pt, pos as (p,p_(*Frm,Pbl*))) = ptp;
  1872    val (pt, pos as (p,p_(*Frm,Pbl*))) = (pt, p);
  1873    *)
  1874     let val ppobj = get_obj I pt p
  1875 	val f = if is_pblobj ppobj then pt_model ppobj p_
  1876 		else get_obj pt_form pt p
  1877 	val tac = g_tac ppobj
  1878     in (f, SOME tac, []) end;
  1879 
  1880 
  1881 (**. get the formula from a ctree-node:
  1882  take form+res from PblObj and 1.PrfObj and (PrfObj after PblObj)
  1883  take res from all other PrfObj's .**)
  1884 (*designed for interSteps, outcommented 04 in favour of calcChangedEvent*)
  1885 fun formres p (Nd (PblObj {origin = (_,_, h), result = (r, _),...}, _)) =
  1886     [("headline", (p, Frm), h), 
  1887      ("stepform", (p, Res), r)]
  1888   | formres p (Nd (PrfObj {form, result = (r, _),...}, _)) = 
  1889     [("stepform", (p, Frm), form), 
  1890      ("stepform", (p, Res), r)];
  1891 
  1892 fun form p (Nd (PrfObj {result = (r, _),...}, _)) = 
  1893     [("stepform", (p, Res), r)]
  1894 
  1895 (*assumes to take whole level, in particular hd -- for use in interSteps*)
  1896 fun get_formress fs p [] = flat fs
  1897   | get_formress fs p (nd::nds) =
  1898     (* start with   'form+res'       and continue with trying 'res' only*)
  1899     get_forms (fs @ [formres p nd]) (lev_on p) nds
  1900 and get_forms fs p [] = flat fs
  1901   | get_forms fs p (nd::nds) =
  1902     if is_pblnd nd
  1903     (* start again with      'form+res' ///ugly repeat with Check_elementwise
  1904     then get_formress (fs @ [formres p nd]) (lev_on p) nds                   *)
  1905     then get_forms    (fs @ [formres p nd]) (lev_on p) nds
  1906     (* continue with trying 'res' only*)
  1907     else get_forms    (fs @ [form    p nd]) (lev_on p) nds;
  1908 
  1909 (**.get an 'interval' 'from' 'to' of formulae from a ptree.**)
  1910 (*WN050219 made robust against _'to' below or after Complete nodes
  1911 	   by handling exn caused by move_dn*)
  1912 (*WN0401 this functionality belongs to ctree.sml, 
  1913 but fetching a calc_head requires calculations defined in modspec.sml
  1914 transfer to ME/me.sml !!!
  1915 WN051224 ^^^ doesnt hold any longer, since only the headline of a calc_head
  1916 is returned !!!!!!!!!!!!!
  1917 *)
  1918 fun eq_pos' (p1,Frm) (p2,Frm) = p1 = p2
  1919   | eq_pos' (p1,Res) (p2,Res) = p1 = p2
  1920   | eq_pos' (p1,Pbl) (p2,p2_) = p1 = p2 andalso (case p2_ of
  1921 						     Pbl => true
  1922 						   | Met => true
  1923 						   | _ => false)
  1924   | eq_pos' (p1,Met) (p2,p2_) = p1 = p2 andalso (case p2_ of
  1925 						     Pbl => true
  1926 						   | Met => true
  1927 						   | _ => false)
  1928   | eq_pos' _ _ = false;
  1929 
  1930 (*.get an 'interval' from the ctree; 'interval' is w.r.t. the 
  1931    total ordering Position#compareTo(Position p) in the java-code
  1932 val get_interval = fn
  1933     : pos' ->     : from is "move_up 1st-element" to return
  1934       pos' -> 	  : to the last element to be returned; from < to
  1935       int -> 	  : level: 0 gets the flattest sub-tree possible
  1936 			   >999 gets the deepest sub-tree possible
  1937       ptree -> 	  : 
  1938       (pos' * 	  : of the formula
  1939        Term.term) : the formula
  1940 	  list
  1941 .*)
  1942 fun get_interval from to level pt =
  1943 (* val (from,level) = (f,lev);
  1944    val (from, to, level) = (([3, 2, 1], Res), ([],Res), 9999);
  1945    *)
  1946     let fun get_inter c (from:pos') (to:pos') lev pt =
  1947 (* val (c, from, to, lev) = ([], from, to, level);
  1948    ------for recursion.......
  1949    val (c, from:pos', to:pos') = (c @ [(from, f)], move_dn [] pt from, to);
  1950    *)
  1951 	    if eq_pos' from to orelse from = ([],Res)
  1952 	    (*orelse ... avoids Exception- PTREE "end of calculation" raised,
  1953 	     if 'to' has values NOT generated by move_dn, see systest/me.sml
  1954              TODO.WN0501: introduce an order on pos' and check "from > to"..
  1955              ...there is an order in Java! 
  1956              WN051224 the hack got worse with returning term instead ptform*)
  1957 	    then let val (f,_,_) = pt_extract (pt, from)
  1958 		 in case f of
  1959 			ModSpec (_,_,headline,_,_,_) => c @ [(from, headline)] 
  1960 		      | Form t => c @ [(from, t)]
  1961 		 end
  1962 	    else 
  1963 		if lev < lev_of from
  1964 		then (get_inter c (move_dn [] pt from) to lev pt)
  1965 		     handle (PTREE _(*from move_dn too far*)) => c
  1966 		else let val (f,_,_) = pt_extract (pt, from)
  1967 			 val term = case f of
  1968 					ModSpec (_,_,headline,_,_,_)=> headline
  1969 				      | Form t => t
  1970 		     in (get_inter (c @ [(from, term)]) 
  1971 				   (move_dn [] pt from) to lev pt)
  1972 			handle (PTREE _(*from move_dn too far*)) 
  1973 			       => c @ [(from, term)] end
  1974     in get_inter [] from to level pt end;
  1975 
  1976 (*for tests*)
  1977 fun posform2str (pos:pos', form) =
  1978     "("^ pos'2str pos ^", "^
  1979     (case form of 
  1980 	 Form f => term2str f
  1981        | ModSpec c => term2str (#3 c(*the headline*)))
  1982     ^")";
  1983 fun posforms2str pfs = (strs2str' o (map (curry op ^ "\n")) o 
  1984 			(map posform2str)) pfs;
  1985 fun posterm2str (pos:pos', t) =
  1986     "("^ pos'2str pos ^", "^term2str t^")";
  1987 fun posterms2str pfs = (strs2str' o (map (curry op ^ "\n")) o 
  1988 			(map posterm2str)) pfs;
  1989 
  1990 
  1991 (*WN050225 omits the last step, if pt is incomplete*)
  1992 fun show_pt pt = 
  1993     tracing (posterms2str (get_interval ([],Frm) ([],Res) 99999 pt));
  1994 
  1995 (*.get a calchead from a PblObj-node in the ctree; 
  1996    preconditions must be calculated.*)
  1997 fun get_ocalhd (pt, pos' as (p,Pbl):pos') = 
  1998     let val PblObj {origin = (oris, ospec, hdf'), spec, probl,...} = 
  1999 	    get_obj I pt p
  2000 	val {prls,where_,...} = get_pbt (#2 (some_spec ospec spec))
  2001 	val pre = check_preconds (assoc_thy"Isac") prls where_ probl
  2002     in (ocalhd_complete probl pre spec, Pbl, hdf', probl, pre, spec):ocalhd end
  2003 | get_ocalhd (pt, pos' as (p,Met):pos') = 
  2004     let val PblObj {fmz = fmz as (fmz_,_), origin = (oris, ospec, hdf'), 
  2005 		    spec, meth, ...} = 
  2006 	    get_obj I pt p
  2007 	val {prls,pre,...} = get_met (#3 (some_spec ospec spec))
  2008 	val pre = check_preconds (assoc_thy"Isac") prls pre meth
  2009     in (ocalhd_complete meth pre spec, Met, hdf', meth, pre, spec):ocalhd end;
  2010 
  2011 (*.at the activeFormula set the Model, the Guard and the Specification 
  2012    to empty and return a CalcHead;
  2013    the 'origin' remains (for reconstructing all that).*)
  2014 fun reset_calchead (pt, pos' as (p,_):pos') = 
  2015     let val PblObj {origin = (_, _, hdf'),...} = get_obj I pt p
  2016 	val pt = update_pbl pt p []
  2017 	val pt = update_met pt p []
  2018 	val pt = update_spec pt p e_spec
  2019     in (pt, (p,Pbl):pos') end;
  2020 
  2021 end
  2022 
  2023 open CalcHead;