(* solve an example by interpreting a method's script

   (c) Walther Neuper 1999

use"ME/solve.sml";

use"solve.sml";

*)

fun safe (ScrState (_,_,_,_,s,_)) = s

  | safe (RrlsState _) = Safe;

type mstID = string;

type tac'_ = mstID * tac; (*DG <-> ME*)

val e_tac'_ = ("Empty_Tac", Empty_Tac):tac'_;

fun mk_tac'_   m = case m of

  Init_Proof (ppc, spec)    => ("Init_Proof", Init_Proof (ppc, spec )) 

| Model_Problem             => ("Model_Problem", Model_Problem)

| Refine_Tacitly pblID      => ("Refine_Tacitly", Refine_Tacitly pblID)

| Refine_Problem pblID      => ("Refine_Problem", Refine_Problem pblID)

| Add_Given cterm'          => ("Add_Given", Add_Given cterm') 

| Del_Given cterm'          => ("Del_Given", Del_Given cterm') 

| Add_Find cterm'           => ("Add_Find", Add_Find cterm') 

| Del_Find cterm'           => ("Del_Find", Del_Find cterm') 

| Add_Relation cterm'       => ("Add_Relation", Add_Relation cterm') 

| Del_Relation cterm'       => ("Del_Relation", Del_Relation cterm') 

| Specify_Theory domID	    => ("Specify_Theory", Specify_Theory domID) 

| Specify_Problem pblID     => ("Specify_Problem", Specify_Problem pblID)

| Specify_Method metID	    => ("Specify_Method", Specify_Method metID) 

| Apply_Method metID	    => ("Apply_Method", Apply_Method metID) 

| Check_Postcond pblID	    => ("Check_Postcond", Check_Postcond pblID)

| Free_Solve                => ("Free_Solve",Free_Solve)

| Rewrite_Inst (subs, thm') => ("Rewrite_Inst", Rewrite_Inst (subs, thm')) 

| Rewrite thm'		    => ("Rewrite", Rewrite thm') 

| Rewrite_Asm thm'	    => ("Rewrite_Asm", Rewrite_Asm thm') 

| Rewrite_Set_Inst (subs, rls')

               => ("Rewrite_Set_Inst", Rewrite_Set_Inst (subs, rls')) 

| Rewrite_Set rls'          => ("Rewrite_Set", Rewrite_Set rls') 

| End_Ruleset		    => ("End_Ruleset", End_Ruleset)

| End_Detail                => ("End_Detail", End_Detail)

| Detail_Set rls'           => ("Detail_Set", Detail_Set rls')

| Detail_Set_Inst (s, rls') => ("Detail_Set_Inst", Detail_Set_Inst (s, rls'))

| Calculate op_             => ("Calculate", Calculate op_)

| Substitute sube           => ("Substitute", Substitute sube) 

| Apply_Assumption cts'	    => ("Apply_Assumption", Apply_Assumption cts')

| Take cterm'               => ("Take", Take cterm') 

| Take_Inst cterm'          => ("Take_Inst", Take_Inst cterm') 

| Group (con, ints) 	    => ("Group", Group (con, ints)) 

| Subproblem (domID, pblID) => ("Subproblem", Subproblem (domID, pblID)) 

(*

| Subproblem_Full(spec,cts')=> ("Subproblem_Full", Subproblem_Full(spec,cts')) 

*)

| End_Subproblem            => ("End_Subproblem",End_Subproblem)

| CAScmd cterm'		    => ("CAScmd", CAScmd cterm')

| Split_And                 => ("Split_And", Split_And) 

| Conclude_And		    => ("Conclude_And", Conclude_And) 

| Split_Or                  => ("Split_Or", Split_Or) 

| Conclude_Or		    => ("Conclude_Or", Conclude_Or) 

| Begin_Trans               => ("Begin_Trans", Begin_Trans) 

| End_Trans		    => ("End_Trans", End_Trans) 

| Begin_Sequ                => ("Begin_Sequ", Begin_Sequ) 

| End_Sequ                  => ("End_Sequ", Begin_Sequ) 

| Split_Intersect           => ("Split_Intersect", Split_Intersect) 

| End_Intersect		    => ("End_Intersect", End_Intersect) 

| Check_elementwise cterm'  => ("Check_elementwise", Check_elementwise cterm')

| Or_to_List                => ("Or_to_List", Or_to_List) 

| Collect_Trues	            => ("Collect_Results", Collect_Trues) 

| Empty_Tac               => ("Empty_Tac",Empty_Tac)

| Tac string              => ("Tac",Tac string)

| User                      => ("User",User)

| End_Proof'                => ("End_Proof'",End_Proof'); 

(*Detail*)

val empty_tac'_ = (mk_tac'_ Empty_Tac):tac'_;

fun mk_tac ((_,m):tac'_) = m; 

fun mk_mstID ((mI,_):tac'_) = mI;

fun tac'_2str ((ID,ms):tac'_) = ID ^ (tac2str ms);

(* TODO: tac2str, tac'_2str NOT tested *)

type squ = ptree; (* TODO: safe etc. *)

(*13.9.02--------------

type ctr = (loc * pos) list;

val ops = [("PLUS","Groups.plus_class.plus"),("MINUS","Groups.minus_class.minus"),("TIMES","Groups.times_class.times"),

	   ("cancel","cancel"),("pow","pow"),("sqrt","sqrt")];

ML {* 

@{term "PLUS"};   (*Free ("PLUS", "'a") : term*)

@{term "plus"};   (*Const ("Groups.plus_class.plus", "'a => 'a => 'a")*)

@{term "MINUS"};  (*Free ("MINUS", "'a")*)

@{term "minus"};  (*Const ("Groups.minus_class.minus", "'a => 'a => 'a")*)

@{term "TIMES"};  (*Free ("TIMES", "'a")*)

@{term "times"};  (*Const ("Groups.times_class.times", "'a => 'a => 'a")*)

@{term "CANCEL"}; (*Free ("CANCEL", "'a")*)

@{term "cancel"}; (*Free ("cancel", "'a")*)

@{term "POWER"};  (*Free ("POWER", "'a")*)

@{term "pow"};    (*Free ("pow", "'a")*)

@{term "SQRT"};   (*Free ("SQRT", "'a")*)

@{term "sqrt"};   (*Const ("NthRoot.sqrt", "RealDef.real => RealDef.real")*)

*}

fun op_intern op_ =

  case assoc (ops, op_) of

    SOME op' => op' | NONE => error ("op_intern: no op= "^op_);

-----------------------*)

(* use"ME/solve.sml";

   use"solve.sml";

val ttt = (term_of o the o (parse thy))"Substitute [(bdv,x)] g";

val ttt = (term_of o the o (parse thy))"Rewrite thmid True g";

  Const ("Script.Rewrite'_Inst",_) $ sub $ Free (thm',_) $ Const (pa,_) $ f'

   *)

val specsteps = ["Init_Proof","Refine_Tacitly","Refine_Problem",

		 "Model_Problem",(*"Match_Problem",*)

		 "Add_Given","Del_Given","Add_Find","Del_Find",

		 "Add_Relation","Del_Relation",

		 "Specify_Theory","Specify_Problem","Specify_Method"];

"-----------------------------------------------------------------------";

fun step2taci ((tac_, _, pt, p, _):step) = (*FIXXME.040312: redesign step*)

    (tac_2tac tac_, tac_, (p, get_loc pt p)):taci;

(*FIXME.WN050821 compare solve ... nxt_solv*)

(* val ("Apply_Method",Apply_Method' (mI,_))=(mI,m);

   val (("Apply_Method",Apply_Method' (mI,_,_)),pt, pos as (p,_))=(m,pt, pos);

   *)

fun solve ("Apply_Method", m as Apply_Method' (mI, _, _, _)) 

	  (pt:ptree, (pos as (p,_))) =

  let val {srls,...} = get_met mI;

    val PblObj{meth=itms,...} = get_obj I pt p;

    val thy' = get_obj g_domID pt p;

    val thy = assoc_thy thy';

    val (is as ScrState (env,_,_,_,_,_), ctxt, sc) = init_scrstate thy itms mI;

    val ini = init_form thy sc env;

    val p = lev_dn p;

  in 

      case ini of

	  SOME t => (* val SOME t = ini; 

	             *)

	  let val (pos,c,_,pt) = 

		  generate1 thy (Apply_Method' (mI, SOME t, is, ctxt))

			    (is, ctxt) (lev_on p, Frm)(*implicit Take*) pt;

	  in ("ok",([(Apply_Method mI, Apply_Method' (mI, SOME t, is, ctxt), 

		      ((lev_on p, Frm), (is, ctxt)))], c, (pt,pos)):calcstate') 

	  end	      

	| NONE => (*execute the first tac in the Script, compare solve m*)

	  let val (m', (is', ctxt'), _) = next_tac (thy', srls) (pt, (p, Res)) sc (is, ctxt);

	      val d = e_rls (*FIXME: get simplifier from domID*);

	  in 

	      case locate_gen (thy',srls) m' (pt,(p, Res))(sc,d) (is', ctxt') of 

		  Steps (is'', ss as (m'',f',pt',p',c')::_) =>

(* val Steps (is'', ss as (m'',f',pt',p',c')::_) =

       locate_gen (thy',srls) m'  (pt,(p,Res)) (sc,d) is';

 *)

		  ("ok", (map step2taci ss, c', (pt',p')))

		| NotLocatable =>  

		  let val (p,ps,f,pt) = 

			  generate_hard (assoc_thy "Isac") m (p,Frm) pt;

		  in ("not-found-in-script",

		      ([(tac_2tac m, m, (pos, (is, ctxt)))], ps, (pt,p))) end

    (*just-before------------------------------------------------------

	      ("ok",([(Apply_Method mI,Apply_Method'(mI,NONE,e_istate),

		       (pos, is))],

		     [], (update_env pt (fst pos) (SOME is),pos)))

     -----------------------------------------------------------------*)

	  end

  end

  | solve ("Free_Solve", Free_Solve')  (pt,po as (p,_)) =

  let (*val _=tracing"###solve Free_Solve";*)

    val p' = lev_dn_ (p,Res);

    val pt = update_metID pt (par_pblobj pt p) e_metID;

  in ("ok", ((*(p',Uistate,Empty_Tac_), EmptyMout, Empty_Tac, Unsafe,*)

      [(Empty_Tac, Empty_Tac_, (po, (Uistate, e_ctxt)))], [], (pt,p'))) end

(* val (("Check_Postcond",Check_Postcond' (pI,_)), (pt,(pos as (p,p_)))) =

       (  m,                                       (pt, pos));

   *)

  | solve ("Check_Postcond",Check_Postcond' (pI,_)) (pt,(pos as (p,p_))) =

    let (*val _=tracing"###solve Check_Postcond";*)

      val pp = par_pblobj pt p

      val asm = (case get_obj g_tac pt p of

		    Check_elementwise _ => (*collects and instantiates asms*)

		    (snd o (get_obj g_result pt)) p

		  | _ => get_assumptions_ pt (p,p_))

	  handle _ => [] (*WN.27.5.03 asms in subpbls not completely clear*)

      val metID = get_obj g_metID pt pp;

      val {srls=srls,scr=sc,...} = get_met metID;

      val loc as (ScrState (E,l,a,_,_,b), ctxt) = get_loc pt (p,p_); 

     (*val _= tracing("### solve Check_postc, subpbl pos= "^(pos'2str (p,p_)));

      val _= tracing("### solve Check_postc, is= "^(istate2str is));*)

      val thy' = get_obj g_domID pt pp;

      val thy = assoc_thy thy';

      val (_,_,(scval,scsaf)) = next_tac (thy',srls) (pt,(p,p_)) sc loc;

      (*val _= tracing("### solve Check_postc, scval= "^(term2str scval));*)

    in if pp = [] then

	   let val is = ScrState (E,l,a,scval,scsaf,b)

	       val tac_ = Check_Postcond'(pI,(scval, map term2str asm))

	       val (pos,ps,f,pt) = generate1 thy tac_ (is, ctxt) (pp,Res) pt;

	   in ("ok", ((*(([],Res),is,End_Proof''), f, End_Proof', scsaf,*)

	       [(Check_Postcond pI, tac_, ((pp,Res),(is, ctxt)))], ps,(pt,pos))) end

       else

        let

	  (*resume script of parpbl, transfer value of subpbl-script*)

        val ppp = par_pblobj pt (lev_up p);

	val thy' = get_obj g_domID pt ppp;

        val thy = assoc_thy thy';

	val metID = get_obj g_metID pt ppp;

        val sc = (#scr o get_met) metID;

        val (ScrState (E,l,a,_,_,b), ctxt') = get_loc pt (pp(*!/p/*),Frm); 

	      val ctxt'' = transfer_from_subproblem ctxt ctxt'

        val ((p,p_),ps,f,pt) = 

	    generate1 thy (Check_Postcond' (pI, (scval, map term2str asm)))

		(ScrState (E,l,a,scval,scsaf,b), ctxt'') (pp,Res) pt;

       in ("ok",(*((pp,Res),is',nx), f, tac_2tac nx, scsaf,*)

	   ([(Check_Postcond pI, Check_Postcond'(pI,(scval, map term2str asm)),

	      ((pp,Res), (ScrState (E,l,a,scval,scsaf,b), ctxt'')))],ps,(pt,(p,p_))))

	end

    end

(* val (msg, cs') = 

    ("ok",([(Check_Postcond pI,Check_Postcond'(pI, (scval, map term2str asm))),

	    ((pp,Res),(ScrState (E,l,a,scval,scsaf,b)))], (pt,(p,p_))));

    val (_,(pt',p')) = cs';

   (tracing o istate2str) (get_istate pt' p');

   (term2str o fst) (get_obj g_result pt' (fst p'));

   *)

(* tracing(istate2str(get_istate pt (p,p_)));

   *)

  | solve (_,End_Proof'') (pt, (p,p_)) =

      ("end-proof",

       ((*(([],Res),Uistate,Empty_Tac_), EmptyMout, Empty_Tac, Safe,*)

       [(Empty_Tac,Empty_Tac_,(([],Res),(Uistate, e_ctxt)))],[],(pt,(p,p_))))

(*-----------vvvvvvvvvvv could be done by generate1 ?!?*)

  | solve (_,End_Detail' t) (pt,(p,p_)) =

    let val pr as (p',_) = (lev_up p, Res)

	val pp = par_pblobj pt p

	val r = (fst o (get_obj g_result pt)) p' 

	(*Rewrite_Set* done at Detail_Set*: this result is already in ptree*)

	val thy' = get_obj g_domID pt pp

	val (srls, is, sc) = from_pblobj' thy' pr pt

	val (tac_,is',_) = next_tac (thy',srls) (pt,pr) sc is

    in ("ok", ((*((pp,Frm(*???*)),is,tac_), 

	Form' (FormKF (~1, EdUndef, length p', Nundef, term2str r)),

	tac_2tac tac_, Sundef,*)

	[(End_Detail, End_Detail' t , 

	  ((p,p_), get_loc pt (p,p_)))], [], (pt,pr))) end

  | solve (mI,m) (pt, po as (p,p_)) =

(* val ((mI,m), (pt, po as (p,p_))) = (m, (pt, pos));

   *)

    if e_metID = get_obj g_metID pt (par_pblobj pt p)(*29.8.02:

						      could be detail, too !!*)

    then let val ((p,p_),ps,f,pt) = 

		 generate1 (assoc_thy (get_obj g_domID pt (par_pblobj pt p))) 

			   m (e_istate, e_ctxt) (p,p_) pt;

	 in ("no-method-specified", (*Free_Solve*)

	     ((*((p,p_),Uistate,Empty_Tac_),f, Empty_Tac, Unsafe,*)

	     [(Empty_Tac,Empty_Tac_, ((p,p_),(Uistate, e_ctxt)))], ps, (pt,(p,p_)))) end

    else

	let 

	    val thy' = get_obj g_domID pt (par_pblobj pt p);

	    val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt;

(*val _= tracing("### solve, before locate_gen p="^(pos'2str(p,p_)));*)

		val d = e_rls; (*FIXME: canon.simplifier for domain is missing

				8.01: generate from domID?*)

	in case locate_gen (thy',srls) m  (pt,(p,p_)) (sc,d) is of 

	       Steps (is', ss as (m',f',pt',p',c')::_) =>

(* val Steps (is', ss as (m',f',pt',p',c')::_) =

       locate_gen (thy',srls) m  (pt,(p,p_)) (sc,d) is;

 *)

	       let (*val _= tracing("### solve, after locate_gen: is= ")

		       val _= tracing(istate2str is')*)

		   (*val nxt_ = 

		       case p' of (*change from solve to model subpbl*)

			   (_,Pbl) => nxt_model_pbl m' (pt',p')

			 | _ => fst3 (next_tac (thy',srls) (pt',p') sc is');*) 

	       (*27.8.02:next_tac may change to other branches in pt FIXXXXME*)

	       in ("ok", ((*(p',is',nxt_), f', tac_2tac nxt_, safe is',*)

		   map step2taci ss, c', (pt',p'))) end

	     | NotLocatable =>  

	       let val (p,ps,f,pt) = 

		       generate_hard (assoc_thy "Isac") m (p,p_) pt;

	       in ("not-found-in-script",

		   ((*(p,Uistate,Empty_Tac_),f, Empty_Tac, Unsafe,*) 

		   [(tac_2tac m, m, (po,is))], ps, (pt,p))) end

	end;

(*FIXME.WN050821 compare solve ... nxt_solv*)

(* nxt_solv (Apply_Method'     vvv FIXME: get args in applicable_in *)

fun nxt_solv (Apply_Method' (mI,_,_,_)) _ (pt:ptree, pos as (p,_)) =

(* val ((Apply_Method' (mI,_,_)),             _,    (pt:ptree, pos as (p,_))) =

       ((Apply_Method' (mI, NONE, e_istate)), e_istate, ptp);

   *)

  let val {srls,ppc,...} = get_met mI;

    val PblObj{meth=itms,origin=(oris,_,_),probl,...} = get_obj I pt p;

    val itms = if itms <> [] then itms

	       else complete_metitms oris probl [] ppc

    val thy' = get_obj g_domID pt p;

    val thy = assoc_thy thy';

    val (is as ScrState (env,_,_,_,_,_), ctxt, scr) = init_scrstate thy itms mI;

    val ini = init_form thy scr env;

  in 

    case ini of

    SOME t => (* val SOME t = ini; 

	         *)

    let val pos = ((lev_on o lev_dn) p, Frm)

	val tac_ = Apply_Method' (mI, SOME t, is, ctxt);

	val (pos,c,_,pt) = (*implicit Take*)

	    generate1 thy tac_ (is, ctxt) pos pt

      (*val _= ("### nxt_solv Apply_Method, pos= "^pos'2str (lev_on p,Frm));*)

    in ([(Apply_Method mI, tac_, (pos, (is, ctxt)))], c, (pt, pos)):calcstate' end

  | NONE =>

    let val pt = update_env pt (fst pos) (SOME (is, ctxt))

	val (tacis, c, ptp) = nxt_solve_ (pt, pos)

    in (tacis @ 

	[(Apply_Method mI, Apply_Method' (mI, NONE, e_istate, e_ctxt), (pos, (is, ctxt)))],

	c, ptp) end

  end

(* val ("Check_Postcond",Check_Postcond' (pI,_)) = (mI,m);

   val (Check_Postcond' (pI,_), _, (pt, pos as (p,p_))) = 

       (tac_,                  is,  ptp);

   *)

  (*TODO.WN050913 remove unnecessary code below*)

  | nxt_solv (Check_Postcond' (pI,_)) _ (pt, pos as (p,p_))  =

    let (*val _=tracing"###solve Check_Postcond";*)

      val pp = par_pblobj pt p

      val asm = (case get_obj g_tac pt p of

		    Check_elementwise _ => (*collects and instantiates asms*)

		    (snd o (get_obj g_result pt)) p

		  | _ => get_assumptions_ pt (p,p_))

	  handle _ => [] (*WN.27.5.03 asms in subpbls not completely clear*)

      val metID = get_obj g_metID pt pp;

      val {srls=srls,scr=sc,...} = get_met metID;

      val loc as (ScrState (E,l,a,_,_,b), ctxt) = get_loc pt (p,p_); 

     (*val _= tracing("### solve Check_postc, subpbl pos= "^(pos'2str (p,p_)));

      val _= tracing("### solve Check_postc, is= "^(istate2str is));*)

      val thy' = get_obj g_domID pt pp;

      val thy = assoc_thy thy';

      val (_,_,(scval,scsaf)) = next_tac (thy',srls) (pt,(p,p_)) sc loc;

      (*val _= tracing("### solve Check_postc, scval= "^(term2str scval));*)

    in if pp = [] then 

	   let val is = ScrState (E,l,a,scval,scsaf,b)

	       val tac_ = Check_Postcond'(pI,(scval, map term2str asm))

	       val ((p,p_),ps,f,pt) = 

		   generate1 thy tac_ (is, ctxt) (pp,Res) pt;

	   in ([(Check_Postcond pI, tac_, ((pp,Res), (is, ctxt)))],ps,(pt, (p,p_))) end

       else

        let

	  (*resume script of parpbl, transfer value of subpbl-script*)

        val ppp = par_pblobj pt (lev_up p);

	val thy' = get_obj g_domID pt ppp;

        val thy = assoc_thy thy';

	val metID = get_obj g_metID pt ppp;

	val {scr,...} = get_met metID;

        val (ScrState (E,l,a,_,_,b), ctxt') = get_loc pt (pp(*!/p/*),Frm)

	      val ctxt'' = transfer_from_subproblem ctxt ctxt'

        val tac_ = Check_Postcond' (pI, (scval, map term2str asm))

	val is = ScrState (E,l,a,scval,scsaf,b)

        val ((p,p_),ps,f,pt) = generate1 thy tac_ (is, ctxt'') (pp, Res) pt;

	(*val (nx,is',_) = next_tac (thy',srls) (pt,(p,p_)) scr is;WN050913*)

       in ([(Check_Postcond pI, tac_, ((pp, Res), (is, ctxt'')))], ps, (pt, (p,p_))) end

    end

  | nxt_solv (End_Proof'') _ ptp = ([], [], ptp)

  | nxt_solv tac_ is (pt, pos as (p,p_)) =

(* val (pt, pos as (p,p_)) = ptp;

   *)

    let val pos = case pos of

		      (p, Met) => ((lev_on o lev_dn) p, Frm)(*begin script*)

		    | (p, Res) => (lev_on p,Res) (*somewhere in script*)

		    | _ => pos  (*somewhere in script*)

    (*val _= tracing"### nxt_solv4 Apply_Method: stored is =";

        val _= tracing(istate2str is);*)

	val (pos',c,_,pt) = generate1 (assoc_thy "Isac") tac_ is pos pt;

    in ([(tac_2tac tac_, tac_, (pos,is))], c, (pt, pos')) end

  (*(p,p_), (([],Res),Uistate,Empty_Tac_), EmptyMout, Empty_Tac, Safe, pt*)

(*.find the next tac from the script, nxt_solv will update the ptree.*)

(* val (ptp as (pt,pos as (p,p_))) = ptp';

   val (ptp as (pt, pos as (p,p_))) = ptp'';

   val (ptp as (pt, pos as (p,p_))) = ptp;

   val (ptp as (pt, pos as (p,p_))) = (pt,ip);

   val (ptp as (pt, pos as (p,p_))) = (pt, pos);

   *)

and nxt_solve_ (ptp as (pt, pos as (p,p_))) =

    if e_metID = get_obj g_metID pt (par_pblobj pt p)

    then ([], [], (pt,(p,p_))):calcstate'

    else let val thy' = get_obj g_domID pt (par_pblobj pt p);

	     val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt;

	     val (tac_,is,(t,_)) = next_tac (thy',srls) (pt,pos) sc is;

	 (*TODO here ^^^  return finished/helpless/ok !*)

	 (* val (tac_',is',(t',_)) = next_tac (thy',srls) (pt,pos) sc is;

	    *)

	 in case tac_ of

		End_Detail' _ => ([(End_Detail, 

				    End_Detail' (t,[(*FIXME.040215*)]), 

				    (pos, is))], [], (pt, pos))

	      | _ => nxt_solv tac_ is ptp end;

(*.says how may steps of a calculation should be done by "fun autocalc".*)

(*TODO.WN0512 redesign togehter with autocalc ?*)

datatype auto = 

  Step of int      (*1 do #int steps; may stop in model/specify:

		     IS VERY INEFFICIENT IN MODEL/SPECIY*)

| CompleteModel    (*2 complete modeling

                     if model complete, finish specifying + start solving*)

| CompleteCalcHead (*3 complete model/specify in one go + start solving*)

| CompleteToSubpbl (*4 stop at the next begin of a subproblem,

                     if none, complete the actual (sub)problem*)

| CompleteSubpbl   (*5 complete the actual (sub)problem (incl.ev.subproblems)*)

| CompleteCalc;    (*6 complete the calculation as a whole*)	

fun autoord (Step _ ) = 1

  | autoord CompleteModel = 2

  | autoord CompleteCalcHead = 3

  | autoord CompleteToSubpbl = 4

  | autoord CompleteSubpbl = 5

  | autoord CompleteCalc = 6;

(* val (auto, c, (ptp as (_, p))) = (auto, (c@c'), ptp);

   *)

fun complete_solve auto c (ptp as (_, p): ptree * pos') =

    if p = ([], Res) then ("end-of-calculation", [], ptp) else

    case nxt_solve_ ptp of

	((Subproblem _, tac_, (_, is))::_, c', ptp') =>

(* val ptp' = ptp''';

   *)

	if autoord auto < 5 then ("ok", c@c', ptp)

	else let val ptp = all_modspec ptp';

	         val (_, c'', ptp) = all_solve auto (c@c') ptp;

	     in complete_solve auto (c@c'@c'') ptp end

      | ((Check_Postcond _, tac_, (_, is))::_, c', ptp' as (_, p')) =>

	if autoord auto < 6 orelse p' = ([],Res) then ("ok", c@c', ptp')

	else complete_solve auto (c@c') ptp'

      | ((End_Detail, _, _)::_, c', ptp') => 

	if autoord auto < 6 then ("ok", c@c', ptp')

	else complete_solve auto (c@c') ptp'

      | (_, c', ptp') => complete_solve auto (c@c') ptp'

(* val (tacis, c', ptp') = nxt_solve_ ptp;

   val (tacis, c', ptp'') = nxt_solve_ ptp';

   val (tacis, c', ptp''') = nxt_solve_ ptp'';

   val (tacis, c', ptp'''') = nxt_solve_ ptp''';

   val (tacis, c', ptp''''') = nxt_solve_ ptp'''';

   *)

and all_solve auto c (ptp as (pt, (p,_)): ptree * pos') = 

(* val (ptp as (pt, (p,_))) = ptp;

   val (ptp as (pt, (p,_))) = ptp';

   val (ptp as (pt, (p,_))) = (pt, pos);

   *)

    let val (_,_,mI) = get_obj g_spec pt p;

        val (_, c', ptp) = nxt_solv (Apply_Method' (mI, NONE, e_istate, e_ctxt))

				(e_istate, e_ctxt) ptp;

    in complete_solve auto (c@c') ptp end;

(*@@@ vvv @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@*)

fun complete_solve auto c (ptp as (_, p as (_,p_)): ptree * pos') =

    if p = ([], Res) then ("end-of-calculation", [], ptp) else

    if member op = [Pbl,Met] p_

    then let val ptp = all_modspec ptp

	     val (_, c', ptp) = all_solve auto c ptp

	 in complete_solve auto (c@c') ptp end

    else case nxt_solve_ ptp of

	     ((Subproblem _, tac_, (_, is))::_, c', ptp') =>

	     if autoord auto < 5 then ("ok", c@c', ptp)

	     else let val ptp = all_modspec ptp'

		      val (_, c'', ptp) = all_solve auto (c@c') ptp

		  in complete_solve auto (c@c'@c'') ptp end

	   | ((Check_Postcond _, tac_, (_, is))::_, c', ptp' as (_, p')) =>

	     if autoord auto < 6 orelse p' = ([],Res) then ("ok", c@c', ptp')

	     else complete_solve auto (c@c') ptp'

	   | ((End_Detail, _, _)::_, c', ptp') => 

	     if autoord auto < 6 then ("ok", c@c', ptp')

	     else complete_solve auto (c@c') ptp'

	   | (_, c', ptp') => complete_solve auto (c@c') ptp'

and all_solve auto c (ptp as (pt, (p,_)): ptree * pos') = 

    let val (_,_,mI) = get_obj g_spec pt p

        val (_, c', ptp) = nxt_solv (Apply_Method' (mI, NONE, e_istate, e_ctxt))

				    (e_istate, e_ctxt) ptp

    in complete_solve auto (c@c') ptp end;

(*.aux.fun for detailrls with Rrls, reverse rewriting.*)

(* val (nds, t, ((rule, (t', asm)) :: rts)) = ([], t, rul_terms);

   *)

fun rul_terms_2nds nds t [] = nds

  | rul_terms_2nds nds t ((rule, res as (t', _)) :: rts) =

    (append_atomic [] (e_istate, e_ctxt) t (rule2tac [] rule) res Complete EmptyPtree) ::

    (rul_terms_2nds nds t' rts);

(*. detail steps done internally by Rewrite_Set* 

    into ctree by use of a script .*)

(* val (pt, (p,p_)) = (pt, pos);

   *)

fun detailrls pt ((p,p_):pos') = 

    let val t = get_obj g_form pt p

	val tac = get_obj g_tac pt p

	val rls = (assoc_rls o rls_of) tac

    in case rls of

(* val Rrls {scr = Rfuns {init_state,...},...} = rls;

   *)

	   Rrls {scr = Rfuns {init_state,...},...} => 

	   let val (_,_,_,rul_terms) = init_state t

	       val newnds = rul_terms_2nds [] t rul_terms

	       val pt''' = ins_chn newnds pt p 

	   in ("detailrls", pt''', (p @ [length newnds], Res):pos') end

	 | _ =>

	   let val is = init_istate tac t

	(*TODO.WN060602 ScrState (["(t_, Problem (Isac,[equation,univar]))"]

				      is wrong for simpl, but working ?!? *)

	       val tac_ = Apply_Method' (e_metID(*WN0402: see generate1 !?!*), 

					 SOME t, is, e_ctxt)

	       val pos' = ((lev_on o lev_dn) p, Frm)

	       val thy = assoc_thy "Isac"

	       val (_,_,_,pt') = (*implicit Take*)generate1 thy tac_ (is, e_ctxt) pos' pt

	       val (_,_,(pt'',_)) = complete_solve CompleteSubpbl [] (pt',pos')

	       val newnds = children (get_nd pt'' p)

	       val pt''' = ins_chn newnds pt p 

	   (*complete_solve cuts branches after*)

	   in ("detailrls", pt'''(*, get_formress [] ((lev_on o lev_dn) p)cn*),

	       (p @ [length newnds], Res):pos') end

    end;

(* val(mI,m)=m;val ppp=p;(*!!!*)val(p,p_)=pos;val(_,pt,_)=ppp(*!!!*);

   get_form ((mI,m):tac'_) ((p,p_):pos') ppp;

   *)

fun get_form ((mI,m):tac'_) ((p,p_):pos') pt = 

  case applicable_in (p,p_) pt m of

    Notappl e => Error' (Error_ e)

  | Appl m => 

      (* val Appl m=applicable_in (p,p_) pt m;

         *)

      if member op = specsteps mI

	then let val (_,_,f,_,_,_) = specify m (p,p_) [] pt

	     in f end

      else let val (*_,_,f,_,_,_*)_ = solve (mI,m) (pt,(p,p_))

	   in (*f*) EmptyMout end;