5 writeln (pr_ptree pr_short pt);
14 exception PTREE of string
33 val ets2str : ets -> string
37 val tac_2str : tac_ -> string
39 val safe2str : safe -> string
42 val cappend_atomic : ptree -> pos -> loc -> cterm' -> tac
43 -> cterm' -> ostate -> cid -> ptree * posel list * cid
44 val cappend_form : ptree
45 -> pos -> loc -> cterm' -> cid -> ptree * pos * cid
46 val cappend_parent : ptree -> pos -> loc -> cterm' -> tac
47 -> branch -> cid -> ptree * int list * cid
48 val cappend_problem : ptree -> posel list(*FIXME*) -> loc
49 -> cterm' list * spec -> cid -> ptree * int list * cellID list
50 val append_result : ptree -> pos -> cterm' -> ostate -> ptree * pos
53 val g_branch : ppobj -> branch
54 val g_cell : ppobj -> cid
55 val g_args : ppobj -> (int * (term list)) list (*args of scr*)
56 val g_form : ppobj -> cterm'
57 val g_loc : ppobj -> loc
58 val g_met : ppobj -> meth
59 val g_domID : ppobj -> domID
60 val g_metID : ppobj -> metID
61 val g_model : ppobj -> cterm' ppc
62 val g_tac : ppobj -> tac
63 val g_origin : ppobj -> cterm' list * spec
64 val g_ostate : ppobj -> ostate
65 val g_pbl : ppobj -> pblID * item ppc
66 val g_result : ppobj -> cterm'
67 val g_spec : ppobj -> spec
68 (* val get_all : (ppobj -> 'a) -> ptree -> 'a list
69 val get_alls : (ppobj -> 'a) -> ptree list -> 'a list *)
70 val get_obj : (ppobj -> 'a) -> ptree -> pos -> 'a
71 val gpt_cell : ptree -> cid
72 val par_pblobj : ptree -> pos -> pos
73 val pre_pos : pos -> pos
74 val lev_dn : int list -> int list
75 val lev_on : pos -> posel list
76 val lev_pred : pos -> pos
77 val lev_up : pos -> pos
78 (* val pr_cell : pos -> ppobj -> string
79 val pr_pos : int list -> string *)
80 val pr_ptree : (pos -> ppobj -> string) -> ptree -> string
81 val pr_short : pos -> ppobj -> string
82 (* val repl : 'a list -> int -> 'a -> 'a list
83 val repl_app : 'a list -> int -> 'a -> 'a list
84 val repl_branch : branch -> ppobj -> ppobj
85 val repl_domID : domID -> ppobj -> ppobj
86 val repl_form : cterm' -> ppobj -> ppobj
87 val repl_met : item ppc -> ppobj -> ppobj
88 val repl_metID : metID -> ppobj -> ppobj
89 val repl_model : cterm' list -> ppobj -> ppobj
90 val repl_tac : tac -> ppobj -> ppobj
91 val repl_pbl : item ppc -> ppobj -> ppobj
92 val repl_pblID : pblID -> ppobj -> ppobj
93 val repl_result : cterm' -> ostate -> ppobj -> ppobj
94 val repl_spec : spec -> ppobj -> ppobj
95 val repl_subs : (string * string) list -> ppobj -> ppobj
96 val test_trans : ppobj -> bool
97 val uni__asm : (string * pos) list -> ppobj -> ppobj
98 val uni__cid : cellID list -> ppobj -> ppobj *)
99 val union_asm : ptree -> pos -> (string * pos) list -> ptree
100 val union_cid : ptree -> pos -> cellID list -> ptree
101 val update_branch : ptree -> pos -> branch -> ptree
102 val update_domID : ptree -> pos -> domID -> ptree
103 val update_met : ptree -> pos -> meth -> ptree
104 val update_metppc : ptree -> pos -> item ppc -> ptree
105 val update_metID : ptree -> pos -> metID -> ptree
106 val update_tac : ptree -> pos -> tac -> ptree
107 val update_pbl : ptree -> pos -> pblID * item ppc -> ptree
108 val update_pblppc : ptree -> pos -> item ppc -> ptree
109 val update_pblID : ptree -> pos -> pblID -> ptree
110 val update_spec : ptree -> pos -> spec -> ptree
111 val update_subs : ptree -> pos -> (string * string) list -> ptree
113 val rep_pblobj : ppobj
114 -> {branch:branch, cell:cid, env:envp, loc:loc, meth:meth, model:cterm' ppc,
115 origin:cterm' list * spec, ostate:ostate, probl:pblID * item ppc,
116 result:cterm', spec:spec}
117 val rep_prfobj : ppobj
118 -> {branch:branch, cell:cid, form:cterm', loc:loc, tac:tac,
119 ostate:ostate, result:cterm'}
123 structure Ptree (**): PTREE (**) =
127 type env = (term * term) list;
131 NoBranch | AndB | OrB
132 | TransitiveB (* FIXXXME.8.03: set branch from met in Apply_Method*)
133 | SequenceB | IntersectB | CollectB | MapB;
134 fun branch2str NoBranch = "NoBranch"
135 | branch2str AndB = "AndB"
136 | branch2str OrB = "OrB"
137 | branch2str TransitiveB = "TransitiveB"
138 | branch2str SequenceB = "SequenceB"
139 | branch2str IntersectB = "IntersectB"
140 | branch2str CollectB = "CollectB"
141 | branch2str MapB = "MapB";
144 Incomplete | Complete | Inconsistent;
147 type cid = cellID list;
149 type posel = int; (* roundabout for (some of) nice signatures *)
150 type pos = posel list;
152 Pbl (*PblObj-position: problem-type*)
153 | Met (*PblObj-position: method*)
154 | Frm (* PrfObj-position: formula*)
155 | Res (*PblObj | PrfObj-position: result*)
157 fun pos_2str Pbl = "Pbl"
158 | pos_2str Met = "Met"
159 | pos_2str Frm = "Frm"
160 | pos_2str Res = "Res"
161 | pos_2str Und = "Und";
163 type pos' = pos * pos_;
164 fun pos'2str (p,p_) = pair2str (ints2str p, pos_2str p_);
165 val e_pos' = ([],Und):pos';
168 fun res2str (t, ts) = pair2str (term2str t, terms2str ts);
169 fun asm2str (t, p:pos) = pair2str (term2str t, ints2str' p);
170 fun asms2str asms = (strs2str' o (map asm2str)) asms;
174 datatype lrd = (*elements of a path (=loc_) into an Isabelle term*)
176 | R (*go right at $*)
177 | D; (*go down at Abs*)
178 type loc_ = lrd list;
182 fun loc_2str (k:loc_) = (strs2str' o (map ldr2str)) k;
184 (*26.4.02: never used after introduction of scripts !!!*)
185 type loc = loc_ * (* + interpreter-state *)
186 (loc_ * rls') (* -"- for script of the ruleset*)
188 val e_loc = ([],None):loc;
189 val ee_loc = (e_loc,e_loc);
192 datatype safe = Sundef | Safe | Unsafe | Helpless;
193 fun safe2str Sundef = "Sundef"
194 | safe2str Safe = "Safe"
195 | safe2str Unsafe = "Unsafe"
196 | safe2str Helpless = "Helpless";
198 type subs = cterm' list; (*16.11.00 for FE-KE*)
199 fun subst2str' thy' (s:subst) =
202 (apsnd (Sign.string_of_term (sign_of (assoc_thy thy')))) o
203 (apfst (Sign.string_of_term (sign_of (assoc_thy thy'))))))) s;
205 type scrstate = (*state for script interpreter*)
206 env(*stack*) (*used to instantiate tac for checking assod*)
207 * loc_ (*location of tac in script*)
208 * term option(*argument of curried functions*)
209 * term (*value obtained by tac executed*)
210 * safe (*estimation of how result will be obtained*)
211 * bool; (*true = strongly .., false = weakly associated:
212 only used during ass_dn/up*)
213 val e_scrstate = ([],[],None,e_term,Sundef,false):scrstate;
215 (*21.8.02 ---> definitions.sml for datatype scr
216 type rrlsstate = (*state for reverse rewriting*)
217 (term * (*the current formula*)
218 rule list (*of reverse rewrite set (#1#)*)
219 list * (*may be serveral, eg. in norm_rational*)
220 (rule * (*Thm (+ Thm generated from Calc) resulting in ...*)
221 (term * (*... rewrite with ...*)
222 term list)) (*... assumptions*)
223 list); (*derivation from given term to normalform
224 in reverse order with sym_thm;
225 (#1#) could be extracted from here #1*) --------*)
227 datatype istate = (*interpreter state*)
228 Uistate (*undefined in modspec*)
229 | ScrState of scrstate (*for script interpreter*)
230 | RrlsState of rrlsstate; (*for reverse rewriting*)
231 type iist = istate option * istate option;
232 val e_istate = (ScrState ([],[],None,e_term,Sundef,false)):istate;
233 (*val e_iist = (e_istate, e_istate); --- sinnlos f"ur NICHT-equality-type*)
234 fun rta2str (r,(t,a)) = "\n("^(rule2str r)^",("^(term2str t)^", "^
236 fun istate2str (ScrState (e,l,to,t,s,b):istate) =
237 "ScrState ("^ subst2str e ^",\n "^
238 loc_2str l ^", "^ termopt2str to ^",\n "^
239 term2str t ^", "^ safe2str s ^", "^ bool2str b ^")"
240 | istate2str (RrlsState (t,t1,rss,rtas)) =
241 "RrlsState ("^(term2str t)^", "^(term2str t1)^", "^
242 ((strs2str o (map (strs2str o (map rule2str)))) rss)^", "^
243 ((strs2str o (map rta2str)) rtas)^")";
246 type spec = domID * pblID * metID;
247 fun spec2str ((dom,pbl,met)(*:spec*)) =
248 "(" ^ (quote dom) ^ ", " ^ (strs2str pbl) ^
249 ", " ^ (strs2str met) ^ ")";
250 (*> spec2str empty_spec;
251 val it = "(\"\", [], (\"\", \"\"))" : string *)
252 val empty_spec = (e_domID,e_pblID,e_metID):spec;
253 val e_spec = empty_spec;
255 datatype con = land | lor;
258 fun subst2subs s = map (pair2str o
259 (apfst (Sign.string_of_term (sign_of thy))) o
260 (apsnd (Sign.string_of_term (sign_of thy)))) s;
261 fun subst2subs' s = map ((apfst (Sign.string_of_term (sign_of thy))) o
262 (apsnd (Sign.string_of_term (sign_of thy)))) s;
266 fun isapair2pair (Const ("Pair",_) $ a $ b) = (a,b);
267 fun subs2subst thy s = map (isapair2pair o term_of o the o (parse thy)) s;
268 (*> subs2subst thy ["(bdv,x)","(err,#0)"];
270 [(Free ("bdv","RealDef.real"),Free ("x","RealDef.real")),
271 (Free ("err","RealDef.real"),Free ("#0","RealDef.real"))]
272 : (term * term) list*)
279 (*FE <-> KE: strings*)
281 Init_Proof of ((cterm' list) * spec)
282 (*Init_Proo_Hid of (dgmode * (cterm' list) * spec)
283 | Init_Proof 7.6.02java-sml*)
284 | Model_Problem of pblID
285 | Refine_Problem of pblID | Refine_Tacitly of pblID
286 (*| Match_Problem of pblID*)
287 | Add_Given of cterm' | Del_Given of cterm'
288 | Add_Find of cterm' | Del_Find of cterm'
289 | Add_Relation of cterm' | Del_Relation of cterm'
291 | Specify_Theory of domID | Specify_Problem of pblID
292 | Specify_Method of metID
293 | Apply_Method of metID | Check_Postcond of pblID
296 | Rewrite_Inst of ( subs * thm') | Rewrite of thm'
297 | Rewrite_Asm of thm'
298 | Rewrite_Set_Inst of ( subs * rls') | Rewrite_Set of rls'
299 | Detail (*user_cmd for detailing some _EXISTING_ data*)
300 | End_Detail (*switches back to parent script*)
301 | Detail_Set_Inst of ( subs * rls') | Detail_Set of rls'
302 (*EITHER: an input of me, details rewrites in a Set _after_
303 Rewrite_Set* has created PblObj (+ istate);
304 OR:: set by "solve Detail_Set" as tac in Transitive --
305 for recognition of "insert pt" detail (versus "cappend pt"*)
306 | Calculate of string | End_Ruleset
307 (* plus | minus | times | cancel | pow | sqrt *)
308 | Substitute of subs | Apply_Assumption of cterm' list
310 | Take of cterm' | Take_Inst of cterm'
311 | Group of (con * int list )
312 (*| Subproblem_Full of (spec * (cterm' list)) *)
313 | Subproblem of (domID * pblID)
314 | CAScmd of cterm' (*6.6.02 URD: Function formula *)
317 | Split_And | Conclude_And
318 | Split_Or | Conclude_Or
319 | Begin_Trans | End_Trans
320 | Begin_Sequ | End_Sequ(* substitute root.env *)
321 | Split_Intersect | End_Intersect
322 | Check_elementwise of cterm' | Collect_Trues
325 | Empty_Tac (*TODO.11.6.03 ... of string: could carry msg of (Notappl msg)
327 | Tac of string(* eg.'repeat'*)
328 | User (*internal, for ets*) | End_Proof';(* inout*)
331 (* tac2str /--> library.sml: needed in dialog.sml for 'separable *)
332 fun tac2str (ma:tac) = case ma of
333 Init_Proof (ppc, spec) =>
334 "Init_Proof "^(pair2str (strs2str ppc, spec2str spec))
335 | Model_Problem pblID => "Model_Problem "^(strs2str pblID)
336 | Refine_Tacitly pblID => "Refine_Tacitly "^(strs2str pblID)
337 | Refine_Problem pblID => "Refine_Problem "^(strs2str pblID)
338 (*| Match_Problem pblID => "Match_Problem "^(strs2str pblID)*)
339 | Add_Given cterm' => "Add_Given "^cterm'
340 | Del_Given cterm' => "Del_Given "^cterm'
341 | Add_Find cterm' => "Add_Find "^cterm'
342 | Del_Find cterm' => "Del_Find "^cterm'
343 | Add_Relation cterm' => "Add_Relation "^cterm'
344 | Del_Relation cterm' => "Del_Relation "^cterm'
346 | Specify_Theory domID => "Specify_Theory "^(quote domID )
347 | Specify_Problem pblID => "Specify_Problem "^(strs2str pblID )
348 | Specify_Method metID => "Specify_Method "^(strs2str metID)
349 | Apply_Method metID => "Apply_Method "^(strs2str metID)
350 | Check_Postcond pblID => "Check_Postcond "^(strs2str pblID)
351 | Free_Solve => "Free_Solve"
353 | Rewrite_Inst (subs,thm')=>
354 "Rewrite_Inst "^(pair2str (subs2str subs, spair2str thm'))
355 | Rewrite thm' => "Rewrite "^(spair2str thm')
356 | Rewrite_Asm thm' => "Rewrite_Asm "^(spair2str thm')
357 | Rewrite_Set_Inst (subs, rls) =>
358 "Rewrite_Set_Inst "^(pair2str (subs2str subs, quote rls))
359 | Rewrite_Set rls => "Rewrite_Set "^(quote rls )
361 | End_Detail => "End_Detail"
362 | Detail_Set rls => "Detail_Set "^(quote rls )
363 | Detail_Set_Inst (subs, rls) =>
364 "Detail_Set_Inst "^(pair2str (subs2str subs, quote rls))
365 | Calculate op_ => "Calculate "^op_
366 | Substitute subs => "Substitute "^(subs2str subs)
367 | Apply_Assumption ct's => "Apply_Assumption "^(strs2str ct's)
369 | Take cterm' => "Take "^(quote cterm' )
370 | Take_Inst cterm' => "Take_Inst "^(quote cterm' )
371 | Group (con, ints) =>
372 "Group "^(pair2str (con2str con, ints2str ints))
373 | Subproblem (domID, pblID) =>
374 "Subproblem "^(pair2str (domID, strs2str pblID))
375 (*| Subproblem_Full (spec, cts') =>
376 "Subproblem_Full "^(pair2str (spec2str spec, strs2str cts'))*)
377 | End_Subproblem => "End_Subproblem"
378 | CAScmd cterm' => "CAScmd "^(quote cterm')
380 | Check_elementwise cterm'=> "Check_elementwise "^(quote cterm')
381 | Or_to_List => "Or_to_List "
382 | Collect_Trues => "Collect_Trues"
384 | Empty_Tac => "Empty_Tac"
385 | Tac string => "Tac "^string
387 | End_Proof' => "tac End_Proof'"
388 | _ => "tac2str not impl. for ?!";
391 fun tac2IDstr (ma:tac) = case ma of
392 Model_Problem _ => "Model_Problem"
393 | Refine_Tacitly pblID => "Refine_Tacitly"
394 | Refine_Problem pblID => "Refine_Problem"
395 | Add_Given cterm' => "Add_Given"
396 | Del_Given cterm' => "Del_Given"
397 | Add_Find cterm' => "Add_Find"
398 | Del_Find cterm' => "Del_Find"
399 | Add_Relation cterm' => "Add_Relation"
400 | Del_Relation cterm' => "Del_Relation"
402 | Specify_Theory domID => "Specify_Theory"
403 | Specify_Problem pblID => "Specify_Problem"
404 | Specify_Method metID => "Specify_Method"
405 | Apply_Method metID => "Apply_Method"
406 | Check_Postcond pblID => "Check_Postcond"
407 | Free_Solve => "Free_Solve"
409 | Rewrite_Inst (subs,thm')=> "Rewrite_Inst"
410 | Rewrite thm' => "Rewrite"
411 | Rewrite_Asm thm' => "Rewrite_Asm"
412 | Rewrite_Set_Inst (subs, rls) => "Rewrite_Set_Inst"
413 | Rewrite_Set rls => "Rewrite_Set"
415 | End_Detail => "End_Detail"
416 | Detail_Set rls => "Detail_Set"
417 | Detail_Set_Inst (subs, rls) => "Detail_Set_Inst"
418 | Calculate op_ => "Calculate "
419 | Substitute subs => "Substitute"
420 | Apply_Assumption ct's => "Apply_Assumption"
422 | Take cterm' => "Take"
423 | Take_Inst cterm' => "Take_Inst"
424 | Group (con, ints) => "Group"
425 | Subproblem (domID, pblID) => "Subproblem"
426 | End_Subproblem => "End_Subproblem"
427 | CAScmd cterm' => "CAScmd"
429 | Check_elementwise cterm'=> "Check_elementwise"
430 | Or_to_List => "Or_to_List "
431 | Collect_Trues => "Collect_Trues"
433 | Empty_Tac => "Empty_Tac"
434 | Tac string => "Tac "
436 | End_Proof' => "End_Proof'"
437 | _ => "tac2str not impl. for ?!";
442 (*tac_ is made from tac in applicable_in,
443 and carries all data necessary for generate;*)
446 Init_Proof' of ((cterm' list) * spec)
447 (* ori list !: code specify -> applicable*)
448 | Model_Problem' of pblID *
449 itm list (*the 'untouched' pbl*)
450 | Refine_Tacitly' of pblID * (*input*)
451 pblID * (*the refined from applicable_in*)
452 domID * (*from new pbt?! filled in specify*)
453 metID * (*from new pbt?! filled in specify*)
454 itm list (*drop ! 9.03: remains [] for
455 Model_Problem recognizing its activation*)
456 | Refine_Problem' of (pblID * (itm list * (bool * Term.term) list))
457 | Add_Given' of cterm' *
458 itm list (*updated with input in fun specify_additem*)
459 | Add_Find' of cterm' *
460 itm list (*updated with input in fun specify_additem*)
461 | Add_Relation' of cterm' *
462 itm list (*updated with input in fun specify_additem*)
463 | Del_Given' of cterm' | Del_Find' of cterm' | Del_Relation' of cterm'
464 (*4.00.: all.. term: in applicable_in ..? Syn ?only for FormFK?*)
466 | Specify_Theory' of domID
467 | Specify_Problem' of (pblID * (* *)
468 (bool * (* matches *)
469 (itm list * (* ppc *)
470 (bool * term) list))) (* preconditions *)
471 | Specify_Method' of metID *
472 ori list * (*repl. "#undef"*)
473 itm list (*... updated from pbl to met*)
474 | Apply_Method' of metID *
476 option (*only for the init_form*)
479 (term * (*returnvalue of script in solve*)
480 cterm' list)(*collect by get_assumptions_ in applicable_in, except if
481 butlast tac is Check_elementwise: take only these asms*)
484 | Rewrite_Inst' of theory' * rew_ord' * rls
485 * bool * subst * thm' * term * (term * term list)
486 (*... form * (result* asumpts ), saves time*)
487 | Rewrite' of theory' * rew_ord' * rls * bool * thm' *
488 term * (term * term list)
489 | Rewrite_Asm' of theory' * rew_ord' * rls * bool * thm' *
490 term * (term * term list)
491 | Rewrite_Set_Inst' of theory' * bool * subst * rls *
492 term * (term * term list)
493 | Rewrite_Set' of theory' * bool * rls * term * (term * term list)
494 (*Detail' in me detailed into ...*)
495 | End_Detail' of term (*see End_Trans'*)
496 | Detail_Set' of theory' * rls * term(*term is needed for next_tac before 2nd
498 | Detail_Set_Inst' of theory' * subst * rls * term
499 | End_Ruleset' of term
500 | Calculate' of theory' * string * term * (term * thm')
501 (*WN.29.4.03 asm?: * term list??*)
502 | Substitute' of subst * term (*10.8.00+..*)* term
503 | Apply_Assumption' of term list * term
505 | Take' of term | Take_Inst' of term
506 | Group' of (con * int list * term)
507 | Subproblem' of (spec *
508 (ori list) * (*filled in ......*)
509 term) (*Subproblem(dom,pbl)*)
511 | End_Subproblem' of term (*???*)
512 | Split_And' of term | Conclude_And' of term
513 | Split_Or' of term | Conclude_Or' of term
514 | Begin_Trans' of term | End_Trans' of term
515 | Begin_Sequ' | End_Sequ'(* substitute root.env*)
516 | Split_Intersect' of term | End_Intersect' of term
517 | Check_elementwise' of (*special case:*)
518 term * (*(1)the current formula: [x=1,x=...]*)
519 string * (*(2)the pred from Check_elementwise *)
520 (term * (*(3)composed from (1) and (2): {x. pred}*)
521 term list) (*20.5.03 assumptions*)
523 | Or_to_List' of term * term (* (a | b, [a,b]) *)
524 | Collect_Trues' of term
526 | Empty_Tac_ | Tac_ of (*for dummies*)
530 string (*result of Tac".."*)
531 | User' (*internal for ets*) | End_Proof'';(*End_Proof:inout*)
532 (*TODO?: done partially for tests*)
533 fun tac_2str ma = case ma of
534 Init_Proof' (ppc, spec) =>
535 "Init_Proof' "^(pair2str (strs2str ppc, spec2str spec))
536 | Model_Problem' (pblID,_) => "Model_Problem' "^(strs2str pblID )
537 | Refine_Tacitly'(p,prefin,domID,metID,itms)=>
539 ^(strs2str p)^", "^(strs2str prefin)^", "
540 ^domID^", "^(strs2str metID)^", pbl-itms)"
541 | Refine_Problem' ms => "Refine_Problem' ("^(*matchs2str ms*)"..."^")"
542 (*| Match_Problem' (pI, (ok, (itms, pre))) =>
543 "Match_Problem' "^(spair2str (strs2str pI,
544 spair2str (bool2str ok,
545 spair2str ("itms2str itms",
546 "items2str pre"))))*)
547 | Add_Given' cterm' => "Add_Given' "(*^cterm'*)
548 | Del_Given' cterm' => "Del_Given' "(*^cterm'*)
549 | Add_Find' cterm' => "Add_Find' "(*^cterm'*)
550 | Del_Find' cterm' => "Del_Find' "(*^cterm'*)
551 | Add_Relation' cterm' => "Add_Relation' "(*^cterm'*)
552 | Del_Relation' cterm' => "Del_Relation' "(*^cterm'*)
554 | Specify_Theory' domID => "Specify_Theory' "^(quote domID )
555 | Specify_Problem' (pI, (ok, (itms, pre))) =>
556 "Specify_Problem' "^(spair2str (strs2str pI,
557 spair2str (bool2str ok,
558 spair2str ("itms2str itms",
560 | Specify_Method' (pI,oris,itms) =>
561 "Specify_Method' ("^metID2str pI^", "^oris2str oris^", )"
563 | Apply_Method' (metID,_) => "Apply_Method' "^(strs2str metID)
564 | Check_Postcond' (pblID,(scval,asm)) =>
565 "Check_Postcond' "^(spair2str(strs2str pblID,
566 spair2str (term2str scval, strs2str asm)))
568 | Free_Solve' => "Free_Solve'"
570 | Rewrite_Inst' (*subs,thm'*) _ =>
571 "Rewrite_Inst' "(*^(pair2str (subs2str subs, spair2str thm'))*)
572 | Rewrite' thm' => "Rewrite' "(*^(spair2str thm')*)
573 | Rewrite_Asm' thm' => "Rewrite_Asm' "(*^(spair2str thm')*)
574 | Rewrite_Set_Inst' (*subs,thm'*) _ =>
575 "Rewrite_Set_Inst' "(*^(pair2str (subs2str subs, quote rls))*)
576 | Rewrite_Set'(thy',pasm,rls',f,(f',asm))
577 => "Rewrite_Set' ("^thy'^","^(bool2str pasm)^","^(id_rls rls')^","
578 ^(Sign.string_of_term (sign_of thy) f)^",("^(Sign.string_of_term (sign_of thy) f')
579 ^","^((strs2str o (map (Sign.string_of_term (sign_of thy)))) asm)^"))"
581 | End_Detail' _ => "End_Detail' xxx"
582 | Detail_Set' _ => "Detail_Set' xxx"
583 | Detail_Set_Inst' _ => "Detail_Set_Inst' xxx"
585 | Calculate' _ => "Calculate' "
586 | Substitute' subs => "Substitute' "(*^(subs2str subs)*)
587 | Apply_Assumption' ct's => "Apply_Assumption' "(*^(strs2str ct's)*)
589 | Take' cterm' => "Take' "(*^(quote cterm' )*)
590 | Take_Inst' cterm' => "Take_Inst' "(*^(quote cterm' )*)
591 | Group' (con, ints, _) =>
592 "Group' "^(pair2str (con2str con, ints2str ints))
593 | Subproblem' (spec, oris, pbl_form) =>
594 "Subproblem' "(*^(pair2str (domID, strs2str ,...))*)
595 | End_Subproblem' _ => "End_Subproblem'"
596 | CAScmd' cterm' => "CAScmd' "(*^(quote cterm')*)
598 | Empty_Tac_ => "Empty_Tac_"
600 | Tac_ (_,form,id,result) => "Tac_ (thy,"^form^","^id^","^result^")"
603 (*'executed tactics' (tac_s) with local environment etc.;
604 used for continuing eval script + for generate*)
606 (loc_ * (* of tactic in scr, tactic (weakly) associated with tac_*)
607 (tac_ * (* (for generate) *)
608 env * (* with 'tactic=result' as a rule, tactic ev. _not_ ready:
609 for handling 'parallel let'*)
610 env * (* with results of (ready) tacs *)
611 term * (* itr_arg of tactic, for upd. env at Repeat, Try*)
612 term * (* result value of the tac *)
618 fun ets2s (l,(m,eno,env,iar,res,s)) =
619 "\n("^(loc_2str l)^",("^(tac_2str m)^
620 ",\n ens= "^(subst2str eno)^
621 ",\n env= "^(subst2str env)^
622 ",\n iar= "^(Sign.string_of_term (sign_of thy) iar)^
623 ",\n res= "^(Sign.string_of_term (sign_of thy) res)^
624 ",\n "^(safe2str s)^"))";
625 fun ets2str (ets:ets) = (strs2str o (map ets2s)) ets;
628 type envp =(*9.5.03: unused, delete with field in ptree.PblObj FIXSXXME*)
629 (int * term list) list * (*assoc-list: args of met*)
630 (int * rls) list * (*assoc-list: tacs already done ///15.9.00*)
631 (int * ets) list * (*assoc-list: tacs etc. already done*)
632 (string * pos) list; (*asms * from where*)
633 val empty_envp = ([],[],[],[]):envp;
636 PrfObj of {cell : cid, (* 4.00 superfluous: use cid in DG only!!*)
638 tac : tac, (*8.01: superfluous -> ets !!!*)
639 loc : istate option * istate option, (*for form, result
640 13.8.02: (None,None) <==> e_istate ! see update_loc, get_loc*)
642 result: term * term list,
643 (*FIXX@ME result:term * term list
644 => applicable_in =..rewrite_set_
645 => rls = {erls: rls (NOT rls'),...}*)
646 ostate: ostate} (*Complete <=> result is OK*)
647 | PblObj of {cell : cid,
648 origin: (ori list) * spec,
649 model : cterm' ppc, (*1.00. not used anymore*)
651 probl : itm list, (*8.01: TODO a (_*_) list for UNDO*)
653 env : envp,(*FIXXXMEby loc 20.8.01 superfluous-- delete*)
654 loc : istate option * istate option, (*for pbl+met, result
655 20.8.01: loc will hold ets (diss p.94: (tac_,denval(=form|res),loc,env)*)
657 result: term * term list,
658 ostate: ostate}; (*Complete <=> result is OK*)
661 | Nd of ppobj * (ptree list);
662 val e_ptree = EmptyPtree;
664 (*in CalcTree/Subproblem an 'just_created' model is created;
665 this is filled to 'untouched' by Model/Refine_Problem*)
666 fun just_created (PblObj {meth, probl, spec, ...}) =
667 null meth andalso null probl andalso spec = e_spec;
668 val e_origin = ([],e_spec): (ori list) * spec;
672 fun rep_prfobj (PrfObj {cell,form,tac,loc,branch,result,ostate}) =
673 {cell=cell,form=form,tac=tac,loc=loc,branch=branch,result=result,ostate=ostate};
674 fun rep_pblobj (PblObj {cell,origin,model,spec,probl,meth,env,
675 loc,branch,result,ostate}) =
676 {cell=cell,origin=origin,model=model,spec=spec,probl=probl,meth=meth,
677 env=env,loc=loc,branch=branch,result=result,ostate=ostate};
678 fun is_prfobj (PrfObj _) = true
679 | is_prfobj _ =false;
680 (*val is_prfobj' = get_obj is_prfobj; *)
681 fun is_pblobj (PblObj _) = true
682 | is_pblobj _ = false;
683 (*val is_pblobj' = get_obj is_pblobj; 'Error: unbound constructor get_obj'*)
686 exception PTREE of string;
687 fun nth _ [] = raise PTREE "nth _ []"
689 | nth n (x::xs) = nth (n-1) xs;
690 (*> nth 2 [11,22,33]; -->> val it = 22 : int*)
692 fun lev_up ([]:pos) = raise PTREE "lev_up []"
693 | lev_up p = (drop_last p):pos;
694 fun lev_on ([]:pos) = raise PTREE "lev_on []"
696 let val len = length pos
697 in (drop_last pos) @ [(nth len pos)+1] end;
698 fun lev_onFrm ((p,_):pos') = (lev_on p,Frm):pos'
699 | lev_onFrm p = raise PTREE ("*** lev_onFrm: pos'="^(pos'2str p));
701 fun lev_pred ([]:pos) = raise PTREE "lev_pred []"
702 | lev_pred (pos:pos) =
703 let val len = length pos
704 in ((drop_last pos) @ [(nth len pos)-1]):pos end;
706 val it = [1,2,2] : pos
708 val it = [0] : pos *)
709 fun lev_dn p = p @ [0];
710 (*> (lev_dn o lev_on) [1,2,3];
711 val it = [1,2,4,0] : pos *)
712 fun lev_dn' ((p,p_):pos') = (lev_dn p, Frm):pos';
713 fun lev_dnRes ((p,_):pos') = (lev_dn p, Res):pos';
716 fun lev_up_ ((p,Res):pos') = (lev_up p,Res):pos'
717 | lev_up_ p' = raise error ("lev_up_: called for "^(pos'2str p'));
718 fun lev_dn_ ((p,_):pos') = (lev_dn p,Res):pos'
719 fun ind ((p,_):pos') = length p;
722 (** convert ptree to a string **)
724 (* convert a pos from list to string *)
725 fun pr_pos ps = (space_implode "." (map string_of_int ps))^". ";
726 (* show hd origin or form only *)
727 fun pr_short (p:pos) (PblObj {origin = (ori,_),...}) =
728 ((pr_pos p) ^ " ----- pblobj -----\n")
729 (* ((((Sign.string_of_term (sign_of thy)) o #4 o hd) ori)^" "^
730 (((Sign.string_of_term (sign_of thy)) o hd(*!?!*) o #5 o hd) ori))^
732 | pr_short p (PrfObj {form = form,...}) =
733 ((pr_pos p) ^ (term2str form) ^ "\n");
734 fun pr_cell (p:pos) (PblObj {cell = c, origin = (ori,_),...}) =
736 ((((Sign.string_of_term (sign_of thy)) o #4 o hd) ori)^" "^
737 (((Sign.string_of_term (sign_of thy)) o hd(*!?!*) o #5 o hd) ori))^
739 | pr_cell p (PrfObj {cell = c, form = form,...}) =
740 ((ints2str c) ^" "^ (term2str form) ^ "\n");
746 fun pr_pt pfn _ EmptyPtree = ""
747 | pr_pt pfn ps (Nd (b, [])) = pfn ps b
748 | pr_pt pfn ps (Nd (b, ts)) = (pfn ps b)^
749 (prts pfn (ps:pos) 1 ts)
750 and prts pfn ps p [] = ""
751 | prts pfn ps p (t::ts) = (pr_pt pfn (ps @ [p]) t)^
752 (prts pfn ps (p+1) ts)
753 in pr_pt f [] pt end;
755 > fun prfn ps b = (pr_pos ps)^" "^b(*TODO*)^"\n";
756 > val pt = ref EmptyPtree;
763 > writeln (pr_ptree prfn (!pt));
767 (** access the branches of ptree **)
769 fun ins_nth 1 e l = e::l
770 | ins_nth n e [] = raise PTREE "ins_nth n e []"
771 | ins_nth n e (l::ls) = l::(ins_nth (n-1) e ls);
772 fun repl [] _ _ = raise PTREE "repl [] _ _"
773 | repl (l::ls) 1 e = e::ls
774 | repl (l::ls) n e = l::(repl ls (n-1) e);
775 fun repl_app ls n e =
776 let val lim = 1 + length ls
777 in if n > lim then raise PTREE "repl_app: n > lim"
778 else if n = lim then ls @ [e]
779 else repl ls n e end;
781 > repl [1,2,3] 2 22222;
782 val it = [1,22222,3] : int list
783 > repl_app [1,2,3,4] 5 5555;
784 val it = [1,2,3,4,5555] : int list
785 > repl_app [1,2,3] 2 22222;
786 val it = [1,22222,3] : int list
787 > repl_app [1] 2 22222 ;
788 val it = [1,22222] : int list
792 (** get from obj at pos by f : ppobj -> 'a **)
794 fun get_obj f EmptyPtree _ = raise PTREE "get_obj f EmptyPtree"
795 | get_obj f (Nd (b, _)) [] = f b
796 | get_obj f (Nd (b, bs)) (p::ps) =
797 let val _ = (nth p bs) handle _ => raise PTREE ("get_obj: pos = "^
798 (ints2str' (p::ps))^" does not exist");
799 in (get_obj f (nth p bs) (ps:pos))
800 handle _ => raise PTREE ("get_obj: at pos = "^
801 (ints2str' (p::ps))^" wrong type of ppobj")
802 (*FIXME: 'wrong type..' raised also if pos doesn't exist*)
804 fun get_nd EmptyPtree _ = raise PTREE "get_nd EmptyPtree"
806 | get_nd (Nd (_,nds)) (pos as p::(ps:pos)) = (get_nd (nth p nds) ps)
807 handle _ => raise PTREE ("get_nd: not existent pos = "^(ints2str' pos));
810 (* for use by get_obj *)
811 fun g_cell (PblObj {cell = c,...}) = c
812 | g_cell (PrfObj {cell = c,...}) = c;
813 fun g_form (PrfObj {form = f,...}) = f
814 | g_form _ = raise PTREE "g_form not for PblObj";
815 fun g_origin (PblObj {origin = ori,...}) = ori
816 | g_origin _ = raise PTREE "g_origin not for PrfObj";
817 fun g_model (PblObj {model = f,...}) = f
818 | g_model _ = raise PTREE "g_model not for PrfObj";
819 fun g_spec (PblObj {spec = s,...}) = s
820 | g_spec _ = raise PTREE "g_spec not for PrfObj";
821 fun g_pbl (PblObj {probl = p,...}) = p
822 | g_pbl _ = raise PTREE "g_pbl not for PrfObj";
823 fun g_met (PblObj {meth = p,...}) = p
824 | g_met _ = raise PTREE "g_met not for PrfObj";
825 fun g_domID (PblObj {spec = (d,_,_),...}) = d
826 | g_domID _ = raise PTREE "g_metID not for PrfObj";
827 fun g_metID (PblObj {spec = (_,_,m),...}) = m
828 | g_metID _ = raise PTREE "g_metID not for PrfObj";
829 fun g_args (PblObj {env = (a,_,_,_),...}) = a
830 | g_args _ = raise PTREE "g_args not for PrfObj";
831 fun g_tacs (PblObj {env = (_,a,_,_),...}) = a
832 | g_tacs _ = raise PTREE "g_tacs not for PrfObj";
833 fun g_ets (PblObj {env = (_,_,a,_),...}) = a
834 | g_ets _ = raise PTREE "g_tacs not for PrfObj";
835 fun g_asm (PblObj {env = (_,_,_,a),...}) = a
836 | g_asm _ = raise PTREE "g_asm not for PrfObj";
837 fun g_loc (PblObj {loc = l,...}) = l
838 | g_loc (PrfObj {loc = l,...}) = l;
839 fun g_branch (PblObj {branch = b,...}) = b
840 | g_branch (PrfObj {branch = b,...}) = b;
841 fun g_tac (PblObj {spec = (d,p,m),...}) = Apply_Method m
842 | g_tac (PrfObj {tac = m,...}) = m;
843 fun g_result (PblObj {result = r,...}) = r
844 | g_result (PrfObj {result = r,...}) = r;
845 fun g_ostate (PblObj {ostate = r,...}) = r
846 | g_ostate (PrfObj {ostate = r,...}) = r;
848 fun gpt_cell (Nd (PblObj {cell = c,...},_)) = c
849 | gpt_cell (Nd (PrfObj {cell = c,...},_)) = c;
851 fun existpt pos pt = can (get_obj I pt) pos;
852 fun existpt' ((p,p_):pos') pt =
853 if can (get_obj I pt) p
855 Res => get_obj g_ostate pt p = Complete
859 (*.find the position of the next parent which is a PblObj in ptree.*)
860 fun par_pblobj pt ([]:pos) = ([]:pos)
862 let fun par pt [] = []
863 | par pt p = if is_pblobj (get_obj I pt p) then p
864 else par pt (lev_up p)
865 in par pt (lev_up p) end;
866 (* lev_up for hard_gen operating with pos = [...,0] *)
868 (*.find the position and the children of the next parent which is a PblObj.*)
869 fun par_children (Nd (PblObj _, children)) ([]:pos) = (children, []:pos)
870 | par_children (pt as Nd (PblObj _, children)) p =
871 let fun par [] = (children, [])
872 | par p = let val Nd (obj, children) = get_nd pt p
873 in if is_pblobj obj then (children, p) else par (lev_up p)
875 in par (lev_up p) end;
877 (*.get the children of a node in ptree.*)
878 fun children (Nd (PblObj _, cn)) = cn
879 | children (Nd (PrfObj _, cn)) = cn;
882 (*.find the next parent, which is either a PblObj (return true)
883 or a PrfObj with tac = Detail_Set (return false).*)
884 (*FIXME.3.4.03:re-organize par_pbl_det after rls' --> rls*)
885 fun par_pbl_det pt ([]:pos) = (true, []:pos, Erls)
887 let fun par pt [] = (true, [], Erls)
888 | par pt p = if is_pblobj (get_obj I pt p) then (true, p, Erls)
889 else case get_obj g_tac pt p of
890 Detail_Set rls' => (false, p, assoc_rls rls')
891 | _ => par pt (lev_up p)
892 in par pt (lev_up p) end;
897 (** get from the whole ptree by f : ppobj -> 'a **)
899 fun get_all f EmptyPtree = []
900 | get_all f (Nd (b, [])) = [f b]
901 | get_all f (Nd (b, bs)) = [f b] @ (get_alls f bs)
902 and get_alls f [] = []
903 | get_alls f pts = flat (map (get_all f) pts);
906 (** insert obj b into ptree at pos **)
908 fun insert b EmptyPtree [] = Nd (b, [])
909 | insert b EmptyPtree _ = raise PTREE "insert b Empty _"
910 | insert b (Nd ( _, _)) [] = raise PTREE "insert b _ []"
911 | insert b (Nd (b', bs)) (p::[]) =
912 Nd (b', repl_app bs p (Nd (b,[])))
913 | insert b (Nd (b', bs)) (p::ps) =
914 Nd (b', repl_app bs p (insert b (nth p bs) (ps:pos)));
916 > type ppobj = string;
917 > writeln (pr_ptree prfn (!pt));
919 pt:= insert ("root":ppobj) EmptyPtree [];
920 pt:= insert ("xx1":ppobj) (!pt) [1];
921 pt:= insert ("xx2":ppobj) (!pt) [2];
922 pt:= insert ("xx3":ppobj) (!pt) [3];
923 pt:= insert ("xx2.1":ppobj) (!pt) [2,1];
924 pt:= insert ("xx2.2":ppobj) (!pt) [2,2];
925 pt:= insert ("xx2.1.1":ppobj) (!pt) [2,1,1];
926 pt:= insert ("xx2.1.2":ppobj) (!pt) [2,1,2];
927 pt:= insert ("xx2.1.3":ppobj) (!pt) [2,1,3];
931 (** apply f to obj at pos, f: ppobj -> ppobj **)
933 fun appl_to_node f (Nd (b,bs)) = Nd (f b, bs);
934 fun appl_obj f EmptyPtree [] = EmptyPtree
935 | appl_obj f EmptyPtree _ = raise PTREE "appl_obj f Empty _"
936 | appl_obj f (Nd (b, bs)) [] = Nd (f b, bs)
937 | appl_obj f (Nd (b, bs)) (p::[]) =
938 Nd (b, repl_app bs p (((appl_to_node f) o (nth p)) bs))
939 | appl_obj f (Nd (b, bs)) (p::ps) =
940 Nd (b, repl_app bs p (appl_obj f (nth p bs) (ps:pos)));
942 (* for use by appl_obj *)
943 fun repl_form f (PrfObj {cell=c,form= _,tac=tac,loc=loc,
944 branch=branch,result=result,ostate=ostate}) =
945 PrfObj {cell=c,form= f,tac=tac,loc=loc,
946 branch=branch,result=result,ostate=ostate}
947 | repl_form _ _ = raise PTREE "repl_form takes no PblObj";
948 fun repl_pbl x (PblObj {cell=cell,origin=origin,model=model,
949 spec=spec,probl=_,meth=meth,env=env,loc=loc,
950 branch=branch,result=result,ostate=ostate}) =
951 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl= x,
952 meth=meth,env=env,loc=loc,branch=branch,result=result,ostate=ostate}
953 | repl_pbl _ _ = raise PTREE "repl_pbl takes no PrfObj";
954 fun repl_met x (PblObj {cell=cell,origin=origin,model=model,
955 spec=spec,probl=probl,meth=_,env=env,loc=loc,
956 branch=branch,result=result,ostate=ostate}) =
957 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
958 meth= x,env=env,loc=loc,branch=branch,result=result,ostate=ostate}
959 | repl_met _ _ = raise PTREE "repl_pbl takes no PrfObj";
961 fun repl_spec x (PblObj {cell=cell,origin=origin,model=model,
962 spec= _,probl=probl,meth=meth,env=env,loc=loc,
963 branch=branch,result=result,ostate=ostate}) =
964 PblObj {cell=cell,origin=origin,model=model,spec= x,probl=probl,
965 meth=meth,env=env,loc=loc,branch=branch,result=result,ostate=ostate}
966 | repl_spec _ _ = raise PTREE "repl_domID takes no PrfObj";
967 fun repl_domID x (PblObj {cell=cell,origin=origin,model=model,
968 spec=(_,p,m),probl=probl,meth=meth,env=env,loc=loc,
969 branch=branch,result=result,ostate=ostate}) =
970 PblObj {cell=cell,origin=origin,model=model,spec=(x,p,m),probl=probl,
971 meth=meth,env=env,loc=loc,branch=branch,result=result,ostate=ostate}
972 | repl_domID _ _ = raise PTREE "repl_domID takes no PrfObj";
973 fun repl_pblID x (PblObj {cell=cell,origin=origin,model=model,
974 spec=(d,_,m),probl=probl,meth=meth,env=env,loc=loc,
975 branch=branch,result=result,ostate=ostate}) =
976 PblObj {cell=cell,origin=origin,model=model,spec=(d,x,m),probl=probl,
977 meth=meth,env=env,loc=loc,branch=branch,result=result,ostate=ostate}
978 | repl_pblID _ _ = raise PTREE "repl_pblID takes no PrfObj";
979 fun repl_metID x (PblObj {cell=cell,origin=origin,model=model,
980 spec=(d,p,_),probl=probl,meth=meth,env=env,loc=loc,
981 branch=branch,result=result,ostate=ostate}) =
982 PblObj {cell=cell,origin=origin,model=model,spec=(d,p,x),probl=probl,
983 meth=meth,env=env,loc=loc,branch=branch,result=result,ostate=ostate}
984 | repl_metID _ _ = raise PTREE "repl_metID takes no PrfObj";
986 fun repl_result l f' s (PrfObj {cell=cell,form=form,tac=tac,loc=_,
987 branch=branch,result = _ ,ostate = _}) =
988 PrfObj {cell=cell,form=form,tac=tac,loc= l,
989 branch=branch,result = f',ostate = s}
990 | repl_result l f' s (PblObj {cell=cell,origin=origin,model=model,
991 spec=spec,probl=probl,meth=meth,env=env,loc=_,
992 branch=branch,result= _ ,ostate= _}) =
993 PblObj {cell=cell,origin=origin,model=model,
994 spec=spec,probl=probl,meth=meth,env=env,loc= l,
995 branch=branch,result= f',ostate= s};
997 fun repl_tac x (PrfObj {cell=cell,form=form,tac= _,loc=loc,
998 branch=branch,result=result,ostate=ostate}) =
999 PrfObj {cell=cell,form=form,tac= x,loc=loc,
1000 branch=branch,result=result,ostate=ostate}
1001 | repl_tac _ _ = raise PTREE "repl_tac takes no PblObj";
1003 fun repl_branch b (PblObj {cell=cell,origin=origin,model=model,
1004 spec=spec,probl=probl,meth=meth,env=env,loc=loc,
1005 branch= _,result=result,ostate=ostate}) =
1006 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
1007 meth=meth,env=env,loc=loc,branch= b,result=result,ostate=ostate}
1008 | repl_branch b (PrfObj {cell=cell,form=form,tac=tac,loc=loc,
1009 branch= _,result=result,ostate=ostate}) =
1010 PrfObj {cell=cell,form=form,tac=tac,loc=loc,
1011 branch= b,result=result,ostate=ostate};
1014 (PblObj {cell=cell,origin=origin,model=model,
1015 spec=spec,probl=probl,meth=meth,env=(_,tac,ets,asm),loc=loc,
1016 branch=branch,result=result,ostate=ostate}) =
1017 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
1018 meth=meth,env=(args,tac,ets,asm),loc=loc,branch=branch,
1019 result=result,ostate=ostate}
1020 | repl_args _ _ = raise PTREE "repl_args takes no PrfObj";
1022 (PblObj {cell=cell,origin=origin,model=model,
1023 spec=spec,probl=probl,meth=meth,env=(arg,_,ets,asm),loc=loc,
1024 branch=branch,result=result,ostate=ostate}) =
1025 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
1026 meth=meth,env=(arg,erul,ets,asm),loc=loc,branch=branch,
1027 result=result,ostate=ostate}
1028 | repl_tacs _ _ = raise PTREE "repl_tacs takes no PrfObj";
1030 (PblObj {cell=cell,origin=origin,model=model,
1031 spec=spec,probl=probl,meth=meth,env=(arg,tac,_,asm),loc=loc,
1032 branch=branch,result=result,ostate=ostate}) =
1033 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
1034 meth=meth,env=(arg,tac,ets,asm),loc=loc,branch=branch,
1035 result=result,ostate=ostate}
1036 | repl_ets _ _ = raise PTREE "repl_ets takes no PrfObj";
1039 (PblObj {cell=cell,origin=(_,spe),model=model,
1040 spec=spec,probl=probl,meth=meth,env=env,loc=loc,
1041 branch=branch,result=result,ostate=ostate}) =
1042 PblObj{cell=cell,origin=(oris,spe),model=model,spec=spec,probl=probl,
1043 meth=meth,env=env,loc=loc,branch=branch,
1044 result=result,ostate=ostate}
1045 | repl_oris _ _ = raise PTREE "repl_oris takes no PrfObj";
1046 fun repl_orispec spe
1047 (PblObj {cell=cell,origin=(oris,_),model=model,
1048 spec=spec,probl=probl,meth=meth,env=env,loc=loc,
1049 branch=branch,result=result,ostate=ostate}) =
1050 PblObj{cell=cell,origin=(oris,spe),model=model,spec=spec,probl=probl,
1051 meth=meth,env=env,loc=loc,branch=branch,
1052 result=result,ostate=ostate}
1053 | repl_orispec _ _ = raise PTREE "repl_orispec takes no PrfObj";
1055 fun repl_loc l (PblObj {cell=cell,origin=origin,model=model,
1056 spec=spec,probl=probl,meth=meth,env=env,loc=_,
1057 branch=branch,result=result,ostate=ostate}) =
1058 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
1059 meth=meth,env=env,loc=l,branch=branch,result=result,ostate=ostate}
1060 | repl_loc l (PrfObj {cell=cell,form=form,tac=tac,loc=_,
1061 branch=branch,result=result,ostate=ostate}) =
1062 PrfObj {cell=cell,form=form,tac=tac,loc= l,
1063 branch=branch,result=result,ostate=ostate};
1066 (PblObj {cell=cell,origin=origin,model=model,
1067 spec=spec,probl=probl,meth=meth,env=(arg,tac,ets,asm),loc=loc,
1068 branch=branch,result=result,ostate=ostate}) =
1069 PblObj {cell=cell,origin=origin,model=model,spec=spec,probl=probl,
1070 meth=meth,env=(arg,tac,ets,asm union asm'),loc=loc,branch=branch,
1071 result=result,ostate=ostate}
1072 | uni__asm _ _ = raise PTREE "uni__asm takes no PrfObj";
1074 (PblObj {cell=cell,origin=origin,model=model,
1075 spec=spec,probl=probl,meth=meth,env=env,loc=loc,
1076 branch=branch,result=result,ostate=ostate}) =
1077 PblObj {cell=cell union cell',origin=origin,model=model,spec=spec,probl=probl,
1078 meth=meth,env=env,loc=loc,branch=branch,
1079 result=result,ostate=ostate}
1081 (PrfObj {cell=cell,form=form,tac=tac,loc=loc,
1082 branch=branch,result=result,ostate=ostate}) =
1083 PrfObj {cell=cell union cell',form=form,tac=tac,loc=loc,
1084 branch=branch,result=result,ostate=ostate};
1089 (** applies (snd f) to 1 level of branches if ((fst f) b),
1090 f : (ppobj -> bool) * (int -> ptree list -> ptree list) **)
1092 fun appl_branch f EmptyPtree [] = (EmptyPtree, false)
1093 | appl_branch f EmptyPtree _ = raise PTREE "appl_branch f Empty _"
1094 | appl_branch f (Nd ( _, _)) [] = raise PTREE "appl_branch f _ []"
1095 | appl_branch f (Nd (b, bs)) (p::[]) =
1096 if (fst f) b then (Nd (b, (snd f) (p:posel) bs), true)
1097 else (Nd (b, bs), false)
1098 | appl_branch f (Nd (b, bs)) (p::ps) =
1099 let val (b',bool) = appl_branch f (nth p bs) ps
1100 in (Nd (b, repl_app bs p b'), bool) end;
1102 (* expl for f as used with appl_branch *)
1103 fun test_trans (PrfObj{branch = Transitive,...}) = true
1104 | test_trans (PblObj{branch = Transitive,...}) = true
1105 | test_trans _ = false;
1107 val cut_branch = (test_trans, curry take):
1108 (ppobj -> bool) * (int -> ptree list -> ptree list);
1109 .. formlery used for ...
1110 fun cut_tree _ [] = EmptyPtree
1112 let val (pt',cut) = appl_branch cut_branch pt pos
1113 in if cut andalso length pos > 1 then cut_tree pt' (lev_up pos)
1117 (* specialized appl_branch for cut + return cuts *)
1118 fun appl_cut EmptyPtree _ = raise PTREE "appl_cut Empty _"
1119 | appl_cut (Nd ( _, _)) [] = raise PTREE "appl_cut _ []"
1120 | appl_cut (Nd (b, bs)) (p::[]) =
1122 then (Nd (b, take (p:posel, bs)), true,
1123 (flat o (map (get_all g_cell))) (takerest (p,bs)))
1124 else (Nd (b, bs), false, [])
1125 | appl_cut (Nd (b, bs)) (p::ps) =
1126 let val (b',bool,cuts) = appl_cut (nth p bs) ps
1127 in (Nd (b, repl_app bs p b'), bool, cuts) end;
1130 (* cut objs below and after a position as long as Transitive
1131 FIXME?: whole ptree copied for each branch-level cut
1132 FIXME!: should return pos list instead cellID list*)
1133 fun cut_tree _ ([]:pos) = raise PTREE "cut_tree _ []"
1136 fun cutfn pt cuts pos =
1137 let val (pt', cut, cuts') = appl_cut pt pos;
1138 (* val _ = writeln (foldr (op^) (cuts',"")) *)
1139 in if cut andalso length pos > 1
1140 then cutfn pt' (cuts @ cuts') (lev_up pos)
1141 else (pt',cuts @ cuts') end
1142 in (apsnd flat (cutfn pt [] pos)):ptree * cid end;
1143 (* pt of max_on_surface
1144 > writeln (pr_ptree pr_cell pt);
1145 > val (pt',cutl) = cut_tree pt [4,1,1,1,1];
1146 val cutl = ["[4,1,1,1,2]:","[4,1,1,1,3]:"] : cid list
1147 > writeln (pr_ptree pr_cell pt');
1149 > val (pt'',cutl) = cut_tree pt [4,1];
1150 val cutl = [] : cid list
1151 > writeln (pr_ptree pr_cell pt'');
1153 > val (pt''',cutl) = cut_tree pt [1,1];
1155 ["[1,2]:","[2]:","[3]:","[3,1]:","[3,2]:","[4]:","[4,1]:","[4,1,1]:",...]
1157 > writeln (pr_ptree pr_cell pt''');
1162 fun append_atomic p l f r f' s pt =
1164 val (iss, f) = if existpt p pt andalso get_obj g_tac pt p=Empty_Tac
1166 ((fst (get_obj g_loc pt p), Some l),
1167 get_obj g_form pt p)
1168 else ((Some l, None), f)
1169 in insert (PrfObj {cell = [(*3.00. unused*)],
1175 ostate= s}) pt p end;
1177 (*20.8.02: cappend_* FIXXXXME cut branches below cannot be decided here:
1178 detail - generate - cappend: inserted, not appended !!!
1180 cut decided in applicable_in !!!
1182 fun cappend_atomic pt p loc f r f' s =
1183 apfst (append_atomic p loc f r f' s) (cut_tree pt p);
1185 (* called by Take *)
1186 fun append_form p l f pt =
1187 insert (PrfObj {cell = [(*3.00. unused*)],
1188 form = (*if existpt p pt
1189 andalso get_obj g_tac pt p = Empty_Tac
1190 (*distinction from 'old' (+complete!) pobjs*)
1191 then get_obj g_form pt p else*) f,
1193 loc = (Some l, None),
1195 result= (e_term,[]),
1196 ostate= Incomplete}) pt p;
1197 fun cappend_form pt p loc f =
1198 apfst (append_form p loc f) (cut_tree pt p);
1202 fun append_result pt p l f s =
1203 (appl_obj (repl_result (fst (get_obj g_loc pt p),
1204 (Some l)) f s) pt p, []);
1208 fun append_parent p l f r b pt =
1210 val (ll,f) = if existpt p pt andalso get_obj g_tac pt p=Empty_Tac
1211 then ((fst (get_obj g_loc pt p), Some l),
1212 get_obj g_form pt p)
1213 else ((Some l, None), f)
1215 {cell = [(*unused*)],
1220 result= (e_term,[]),
1221 ostate= Incomplete}) pt p end;
1222 fun cappend_parent pt p loc f r b =
1223 apfst (append_parent p loc f r b) (cut_tree pt p);
1225 (*13.8.02 deleted again --- istate option
1226 fun init_ptree (strs,spec) =
1228 {cell = [(*3.00. unused*)],
1229 origin= (strs,spec),
1230 model = empty_ppc_ct',
1232 probl = []:itm list,
1237 result= empty_cterm',
1238 ostate= Incomplete},[]));----------------*)
1240 fun append_problem [] l (strs,spec) _ =
1242 {cell = [(*3.00. unused*)],
1243 origin= (strs,spec),
1244 model = empty_ppc_ct',
1246 probl = []:itm list,
1249 loc = (Some l, None),
1250 branch= TransitiveB,(*FIXXXXXME.27.8.03: for equations only*)
1251 result= (e_term,[]),
1252 ostate= Incomplete},[]))
1253 | append_problem p l (strs,spec) pt =
1255 {cell = [(*3.00. unused*)],
1256 origin= (strs,spec),
1257 model = empty_ppc_ct',
1259 probl = []:itm list,
1262 loc = (Some l, None),
1263 branch= TransitiveB,
1264 result= (e_term,[]),
1265 ostate= Incomplete}) pt p;
1266 fun cappend_problem _ [] loc (oris, spec) =
1267 (append_problem [] loc (oris, spec) EmptyPtree,[])
1268 | cappend_problem pt p loc (oris, spec) =
1269 apfst (append_problem p (loc:istate) (oris, spec)) (cut_tree pt p);
1272 (* use"ME/sequent.sml";
1279 fun update_model pt pos x = appl_obj (repl_model x) pt pos;
1280 1.00 not used anymore*)
1281 fun update_args pt pos x = appl_obj (repl_args x) pt pos;
1282 fun update_tacs pt pos x = appl_obj (repl_tacs x) pt pos;
1283 fun update_ets pt pos x = appl_obj (repl_ets x) pt pos;
1284 fun update_domID pt pos x = appl_obj (repl_domID x) pt pos;
1285 fun update_pblID pt pos x = appl_obj (repl_pblID x) pt pos;
1286 fun update_metID pt pos x = appl_obj (repl_metID x) pt pos;
1287 fun update_spec pt pos x = appl_obj (repl_spec x) pt pos;
1289 fun update_pbl pt pos x = appl_obj (repl_pbl x) pt pos;
1290 fun update_pblppc pt pos x = appl_obj (repl_pbl x) pt pos;
1292 fun update_met pt pos x = appl_obj (repl_met x) pt pos;
1294 fun update_metppc pt pos x =
1295 let val {rew_ord'=od,rls'=rs,asm_thm=at,asm_rls=ar,...} =
1296 get_obj g_met pt pos
1297 in appl_obj (repl_met
1298 {rew_ord'=od,rls'=rs,asm_thm=at,asm_rls=ar,ppc=x})
1300 fun update_metppc pt pos x = appl_obj (repl_met x) pt pos;
1302 fun union_asm pt pos x = appl_obj (uni__asm x) pt pos;
1303 fun union_cid pt pos x = appl_obj (uni__cid x) pt pos;
1305 fun update_branch pt pos x = appl_obj (repl_branch x) pt pos;
1306 fun update_tac pt pos x = appl_obj (repl_tac x) pt pos;
1308 fun update_oris pt pos x = appl_obj (repl_oris x) pt pos;
1309 fun update_orispec pt pos x = appl_obj (repl_orispec x) pt pos;
1311 (*done by append_* !! 3.5.02*)
1312 fun update_loc pt (p,_) (ScrState ([],[],None,
1313 Const ("empty",_),Sundef,false)) =
1314 appl_obj (repl_loc (None,None)) pt p
1315 | update_loc pt (p,Res) x =
1316 let val (lform,_) = get_obj g_loc pt p
1317 in appl_obj (repl_loc (lform,Some x)) pt p end
1319 | update_loc pt (p,_) x =
1320 let val (_,lres) = get_obj g_loc pt p
1321 in appl_obj (repl_loc (Some x,lres)) pt p end;
1323 (*13.8.02---------------------------
1324 fun get_loc EmptyPtree _ = None
1325 | get_loc pt (p,Res) =
1326 let val (lfrm,lres) = get_obj g_loc pt p
1327 in if lres = e_istate then lfrm else lres end
1328 | get_loc pt (p,_) =
1329 let val (lfrm,lres) = get_obj g_loc pt p
1330 in if lfrm = e_istate then lres else lfrm end; 5.10.00: too liberal ?*)
1331 (*13.8.02: options, because istate is no equalitype any more*)
1332 fun get_loc EmptyPtree _ = e_istate
1333 | get_loc pt (p,Res) =
1334 (case get_obj g_loc pt p of
1336 | (None , None) => e_istate
1337 | (_ , Some i) => i)
1338 | get_loc pt (p,_) =
1339 (case get_obj g_loc pt p of
1340 (None , Some i) => i (*13.8.02 just copied from ^^^: too liberal ?*)
1341 | (None , None) => e_istate
1342 | (Some i, _) => i);
1343 val get_istate = get_loc; (*3.5.02*)
1345 (*.collect the assumptions within a problem up to a certain position.*)
1346 fun get_asm (b:pos, p:pos) (Nd (PblObj {result=(_,asm),...},_)) =
1347 ((*writeln ("### get_asm PblObj:(b,p)= "^
1348 (pair2str(ints2str b, ints2str p)));*)
1349 (map (rpair b) asm))
1350 | get_asm (b, p) (Nd (PrfObj {result=(_,asm),...}, [])) =
1351 ((*writeln ("### get_asm PrfObj []:(b,p)= "^
1352 (pair2str(ints2str b, ints2str p)));*)
1353 (map (rpair b) asm))
1354 | get_asm (b, p:pos) (Nd (PrfObj _, nds)) =
1355 let (*val _= writeln ("### get_asm PrfObj nds:(b,p)= "^
1356 (pair2str(ints2str b, ints2str p)));*)
1358 if p <> [] then (b @ [hd p]:pos, tl p:pos)
1359 else (b @ [1], [99999]) (*_deeper_ nesting is always _before_ p*)
1360 in gets_asm levdn 1 nds end
1361 and gets_asm _ _ [] = []
1362 | gets_asm (b, p' as p::ps) i (nd::nds) =
1364 else ((*writeln ("### gets_asm: (b,p')= "^(pair2str(ints2str b,
1366 (get_asm (b @ [i], ps) nd) @ (gets_asm (b, p') (i + 1) nds));
1368 fun get_assumptions_ (Nd (PblObj {result=(r,asm),...}, cn)) (([], _):pos') =
1369 if r = e_term then gets_asm ([], [99999]) 1 cn
1370 else map (rpair []) asm
1371 | get_assumptions_ pt (p,p_) =
1372 let val (cn, base) = par_children pt p
1373 val offset = drop (length base, p)
1374 val base' = replicate (length base) 1
1375 val offset' = case p_ of
1376 Frm => let val (qs,q) = split_last offset
1379 (*val _= writeln ("... get_assumptions: (b,o)= "^
1380 (pair2str(ints2str base',ints2str offset)))*)
1381 in gets_asm (base', offset) 1 cn end;
1390 (*pos of the formula on FE relative to the current pos,
1391 which is the next writepos*)
1392 fun pre_pos ([]:pos) = []:pos
1394 let val (ps,p) = split_last pp
1395 in case p of 1 => ps | n => ps @ [n-1] end;
1397 (*WN.20.5.03 ... but not used*)
1398 fun posless [] (_::_) = true
1399 | posless (_::_) [] = false
1400 | posless (p::ps) (q::qs) = if p = q then posless ps qs else p < q;
1401 (* posless [2,3,4] [3,4,5];
1403 > posless [2,3,4] [1,2,3];
1405 > posless [2,3] [2,3,4];
1407 > posless [2,3,4] [2,3];
1409 > posless [6] [6,5,2];
1411 +++ see Isabelle/../library.ML*)
1414 (*development for extracting an 'interval' from ptree stopped 8.03*)
1416 fun hdp [] = 1 | hdp [0] = 1 | hdp x = hd x;
1417 fun hdq [] = 99999 | hdq [0] = 99999 | hdq x = hd x;
1419 fun tlp [] = [0] | tlp [_] = [0] | tlp x = tl x;
1420 fun tlq [] = [99999] | tlq [_] = [99999] | tlq x = tl x;
1422 fun drop_init ([]::xs) = drop_init xs
1423 | drop_init xs = xs;
1425 fun get_tr i (b,p) q (Nd (po, nds)) =
1427 [if i <= 0 then b else []]
1428 @ (writeln("get_tr: i="^(string_of_int i)^", b="^(ints2str' b)^", p="^
1429 (ints2str' p)^", q="^(ints2str' q));
1431 gets_tr (i-1) (b@[hdp p], tlp p) (tlq q) (take_be (hdp p) (hdq q) nds))
1433 and gets_tr i (b,p) q [] = ((*writeln"gets_tr: -------------------------[]";*)
1436 | gets_tr i (b,p) q (nd::nds) =
1438 (writeln("gets_tr: i="^(string_of_int i)^", b="^(ints2str' b)^", p="^
1439 (ints2str' p)^", q="^(ints2str' q));
1441 (get_tr i (b,p) q nd) @ (gets_tr ~99999 (lev_on b, p) q nds)
1444 fun get_trace pt p q =
1446 (gets_tr ((length p) -1) ([hdp p], tlp p) (tlq q)))
1447 (take_be (hdp p) (hdq q) (children pt));
1451 (*.get an 'interval' from ptree down to a certain level.*)
1452 fun get_tr f l i (b:pos, p:pos) (q:pos) (Nd (po, nds)) =
1454 [if i<=0 then [(b, f po)] else [(*during initial recursive descent*)]]
1455 @ (gets_tr f (l-1) (i-1) (b@[hdp p]:pos, tlp p:pos) (tlq q:pos)
1456 (take_be (hdp p) (hdq q) nds))
1458 and gets_tr f l i (b,p) q [] = []
1459 | gets_tr f l i (b,p) q (nd::nds) =
1460 (get_tr f l i (b,p) q nd) @ (gets_tr f l ~99999 (lev_on b, p) q nds);
1462 fn : (ppobj -> 'a) extracts info
1464 int -> level count*~1 for initial recursive descent
1465 pos * current position
1466 pos -> preview to levels lower than current pos
1467 pos -> end pos (static)
1469 * done by recursive descent over the whole ptree.
1470 * only the relevant nodes are taken at each level.
1471 * heads of pos dropped at each step to lower level.
1472 * pos going deeper than initial p q are handled by special hd tl.
1474 fun get_trace pt (p:pos) (q:pos) f l =
1476 (gets_tr f l ((length p) -1) ([hdp p], tlp p) (tlq q)))
1477 (take_be (hdp p) (hdq q) (children pt));
1479 (* mit rlang.sml 55b ... End_Proof
1481 > get_trace pt [4,3] [5] f 99999;
1482 [[4,3],[4,4],[4,5],[4,5,1],[4,5,2],[4,5,3],[4,5,4],[4,5,5],[5]]
1483 > get_trace pt [4,3] [5] f 2;
1484 [([4,3],""),([4,4],""),([4,5],""),([5],"")]
1486 > get_trace pt [4,3] [4,5,1] f 99999;
1487 [[4,3],[4,4],[4,5],[4,5,1]]
1489 > get_trace pt [] [4,5,1] f 99999;
1490 [[1],[2],[3],[4],[4,1],[4,2],[4,3],[4,4],[4,5],[4,5,1]]
1492 > get_trace pt [] [] f 99999;
1493 [[1],[2],[3],[4],[4,1],[4,2],[4,3],[4,4],[4,5],[4,5,1],[4,5,2],[4,5,3],
1494 [4,5,4],[4,5,5],[5]]
1495 > get_trace pt [] [] f 2;
1496 [[1],[2],[3],[4],[4,1],[4,2],[4,3],[4,4],[4,5],[5]]
1498 > get_trace pt [4,5,5] [] f 99999;
1499 [([4,5,5],""),([5],"")]
1501 > get_trace pt [4,5,3] [4,5,3] f 99999;
1505 fun get_somespec ((dI,pI,mI):spec) ((dI',pI',mI'):spec) =
1506 let val domID = if dI = e_domID
1507 then if dI' = e_domID
1508 then raise error"pt_extract: no domID in probl,origin"
1511 val pblID = if pI = e_pblID
1512 then if pI' = e_pblID
1513 then raise error"pt_extract: no pblID in probl,origin"
1516 val metID = if mI = e_metID
1517 then if pI' = e_metID
1518 then raise error"pt_extract: no metID in probl,origin"
1521 in (domID, pblID, metID):spec end;
1523 (*extract a formula or model from ptree for itms2itemppc or model2xml*)
1527 pos_ * (*model belongs to Problem | Method*)
1528 term * (*header: Problem... or Cas*)
1529 itm list * (*model: given, find, relate*)
1530 ((bool * term) list) *(*model: preconds*)
1531 spec; (*specification*)
1532 val e_ptform = Form e_term;
1533 val e_ptform' = ModSpec (Und, e_term, [e_itm], [(false, e_term)], e_spec);
1535 fun pt_model (PblObj {meth,spec,origin=(_,spec'),...}) Met =
1536 let val (_,_,metID) = get_somespec spec spec'
1537 val {prls,pre=where_,...} = get_met metID
1538 val (head, pre) = head_precond spec None prls where_ meth 0
1539 in ModSpec (Met, head, meth, pre, spec) end
1540 | pt_model (PblObj {probl,spec,origin=(_,spec'),...}) _(*Frm,Pbl*) =
1541 let val (_,pblID,_) = get_somespec spec spec'
1542 val {prls,where_,cas,...} = get_pbt pblID
1543 val (head, pre) = head_precond spec cas prls where_ probl 0
1544 in ModSpec (Pbl, head, probl, pre, spec) end;
1547 fun pt_form (PrfObj {form,...}) = Form form
1548 | pt_form (PblObj {probl,spec,origin=(_,spec'),...}) =
1549 let val (dI, pI, _) = get_somespec spec spec'
1550 val {cas,...} = get_pbt pI
1552 None => Form (pblterm dI pI)
1553 | Some t => Form (subst_atomic (mk_env probl) t)
1556 fun pt_result (PrfObj {result=(t,_),...}) = Form t
1557 | pt_result (PblObj {result=(t,_),...}) = Form t;
1559 type asms = (term * pos) list;
1561 (*fun pt_extract (pt,(p,Frm):pos') =
1562 let val f = get_obj pt_form pt p
1563 in (f, Tac"", []:asms, Sundef) end
1564 | pt_extract (pt,(p,Res)) =
1565 let val f = get_obj pt_result pt p
1566 in (f, Tac"", []:asms, Sundef) end
1567 | pt_extract (pt,(p,p_)) =
1568 let val ppobj = get_obj I pt p
1569 val f = if is_pblobj ppobj then pt_model ppobj p_
1570 else raise PTREE ("pt_extrac: tries to fetch modspec from "^
1572 in (f, Tac"", []:asms, Sundef) end;*)
1573 (* val (pt,(p,p_)) = (pt, ip);
1575 fun pt_extract (pt,(p,Res)) =
1576 let val f = get_obj pt_result pt p
1577 in (f, Tac"", []:asms, Sundef) end
1578 | pt_extract (pt,(p,p_)) =
1579 let val ppobj = get_obj I pt p
1580 val f = if is_pblobj ppobj then pt_model ppobj p_
1581 else get_obj pt_form pt p
1582 in (f, Tac"", []:asms, Sundef) end;
1587 fun is_pblnd (Nd (ppobj, _)) = is_pblobj ppobj;
1590 (**.functions for the 'ptree iterator' as seen from the FE-KI interface.**)
1592 (*.move one step down into existing nodes of ptree; regard TransitiveB.*)
1593 fun move_dn _ (Nd (c, ns)) ([],p_) = (*root problem*)
1594 (* val (Nd (c, ns), ([],p_)) = (pt, get_pos cI uI);
1597 then case p_ of Frm => ([], Pbl)
1598 | Res => raise PTREE "end of calculation"
1599 | _ => if null ns (*go down from Pbl + Met*)
1600 then raise PTREE "solve problem not started"
1602 else raise PTREE "pos not existent 1"
1604 (*iterate towards end of pos*)
1605 | move_dn P (Nd (_, ns)) (p::(ps as (_::_)),p_) =
1606 if p > length ns then raise PTREE "pos not existent 2"
1607 else move_dn ((P@[p]): pos) (nth p ns) (ps, p_)
1609 | move_dn P (Nd (c, ns)) ([p], p_) = (*act on last element of pos*)
1610 if p > length ns then raise PTREE "pos not existent 3"
1611 else if is_pblnd (nth p ns) then
1612 (writeln("### move_dn: is_pblnd (nth p ns), P= "^ints2str' P^", \n"^
1613 "length ns= "^((string_of_int o length) ns)^
1614 ", p= "^string_of_int p^", p_= "^pos_2str p_);
1615 case p_ of Frm => ((P@[p], Pbl) : pos')
1616 | Res => if p = length ns
1618 if g_ostate c = Complete then (P, Res)
1619 else raise PTREE "parent not complete"
1620 (*FIXME here handle not-sequential branches*)
1622 if g_branch c = TransitiveB
1623 andalso (not o is_pblnd o (nth (p+1))) ns
1624 then (P@[p+1], Res) else (P@[p+1], Frm)
1625 | _ => if (null o children o (nth p)) ns (*go down from Pbl*)
1626 then raise PTREE "solve subproblem not started"
1627 else (P @ [p, 1], Frm)
1629 else case p_ of Frm => if (null o children o (nth p)) ns then (P@[p],Res)
1630 else (P @ [p, 1], Frm) (*go down*)
1631 | Res => if p = length ns
1633 if g_ostate c = Complete then (P, Res)
1634 else raise PTREE "parent not complete"
1636 if g_branch c = TransitiveB
1637 andalso (not o is_pblnd o (nth (p+1))) ns
1638 then (P@[p+1], Res) else (P@[p+1], Frm);
1640 (*.go one level down into ptree; goes to Frm.*)
1641 fun movelevel_dn [] (Nd (c, ns)) ([],p_) = (*root problem*)
1644 then raise PTREE "solve problem not started"
1646 else raise PTREE "pos not existent 1"
1648 (*iterate towards end of pos*)
1649 | movelevel_dn P (Nd (_, ns)) (p::(ps as (_::_)),p_) =
1650 if p > length ns then raise PTREE "pos not existent 2"
1651 else movelevel_dn (P@[p]) (nth p ns) (ps, p_)
1653 | movelevel_dn P (Nd (c, ns)) ([p], p_) = (*act on last element of pos*)
1654 if p > length ns then raise PTREE "pos not existent 3"
1655 else case p_ of Frm => if (null o children o (nth p)) ns
1656 then raise PTREE "no children"
1657 else (P @ [p, 1], Frm) (*go down*)
1658 | Res => if p = length ns
1659 then raise PTREE "no children"
1661 if g_branch c = TransitiveB
1662 then if (null o children o (nth (p+1))) ns
1663 then raise PTREE "no children"
1664 else (P@[p+1, 1], Frm)
1665 else if (null o children o (nth p)) ns
1666 then raise PTREE "no children"
1667 else (P@[p, 1], Frm);
1669 (*.go to the previous position in ptree; regard TransitiveB.*)
1670 fun move_up _ (Nd (c, ns)) (([],p_):pos') = (*root problem*)
1672 then case p_ of Frm => raise PTREE "begin of calculation"
1673 | Pbl => ([], Frm) | Met => ([], Pbl)
1674 | Res => if null ns then ([], Pbl) (*Res -> Pbl (not Met)!*)
1675 else ([length ns], Res)
1676 else raise PTREE "pos not existent"
1678 | move_up P (Nd (_, ns)) (p::(ps as (_::_)),p_) = (*iterate to end of pos*)
1679 if p > length ns then raise PTREE "pos not existent"
1680 else move_up (P@[p]) (nth p ns) (ps,p_)
1682 | move_up P (Nd (c, ns)) ([p], p_) = (*act on last element of pos*)
1683 if p > length ns then raise PTREE "pos not existent"
1684 else if is_pblnd (nth p ns) then
1685 case p_ of Frm => if p = 1 then (P, Pbl) else (P@[p-1], Res)
1686 | Pbl => (P@[p], Frm) | Met => (P@[p], Pbl)
1688 let val nc = (length o children o (nth p)) ns
1689 in if nc = 0 then (P@[p], Pbl) (*Res -> Pbl (not Met)!*)
1690 else (P @ [p, nc], Res) end (*go down*)
1691 else case p_ of Frm => if p <> 1 then (P, Frm)
1692 else if is_pblobj c then (P, Pbl) else (P, Frm)
1694 let val nc = (length o children o (nth p)) ns
1695 in if nc = 0 (*cannot go down*)
1696 then if g_branch c = TransitiveB andalso p <> 1
1697 then (P@[p-1], Res) else (P@[p], Frm)
1698 else (P @ [p, nc], Res) end; (*go down*)
1700 (*.go one level up in ptree; sets the position on Frm.*)
1701 fun movelevel_up _ (Nd (c, ns)) (([],p_):pos') = (*root problem*)
1702 raise PTREE "pos not existent"
1704 (*iterate towards end of pos*)
1705 | movelevel_up P (Nd (_, ns)) (p::(ps as (_::_)),p_) =
1706 if p > length ns then raise PTREE "pos not existent"
1707 else movelevel_up (P@[p]) (nth p ns) (ps,p_)
1709 | movelevel_up P (Nd (c, ns)) ([p], p_) = (*act on last element of pos*)
1710 if p > length ns then raise PTREE "pos not existent"
1711 else if is_pblobj c then (P, Pbl) else (P, Frm);