Test_Isac works again, almost ..
4 files raise errors:
# Interpret/solve.sml: "solve.sml: interSteps on norm_Rational 2"
# Interpret/inform.sml: "inform.sml: [rational,simplification] 2"
# Knowledge/partial_fractions.sml: "autoCalculate for met_partial_fraction changed: final result"
# Knowledge/eqsystem.sml: "eqsystem.sml: exp 7.70 normalize 4x4 by rewrite changed"
The chunk of changes is due to the fact, that Isac's code still is unstable.
The changes are accumulated since e8f46493af82.
1 (* Title: test/../script.sml
2 Author: Walther Neuper 050908
3 (c) copyright due to lincense terms.
5 "-----------------------------------------------------------------";
6 "table of contents -----------------------------------------------";
7 "-----------------------------------------------------------------";
8 "----------- WN0509 why does next_tac doesnt find Substitute -----";
9 "----------- WN0509 Substitute 2nd part --------------------------";
10 "----------- fun sel_appl_atomic_tacs ----------------------------";
11 "----------- fun init_form, fun get_stac -------------------------";
12 "----------- x+1=2 start SubProblem 'stac2tac_ TODO: no match for ";
13 "----------- Take as 1st stac in script --------------------------";
14 "----------- 'trace_script' from outside 'fun me '----------------";
15 "----------- fun sel_rules ---------------------------------------";
16 "----------- fun sel_appl_atomic_tacs ----------------------------";
17 "-----------------------------------------------------------------";
18 "-----------------------------------------------------------------";
19 "-----------------------------------------------------------------";
21 val thy = @{theory Isac};
23 "----------- WN0509 why does next_tac doesnt find Substitute -----";
24 "----------- WN0509 why does next_tac doesnt find Substitute -----";
25 "----------- WN0509 why does next_tac doesnt find Substitute -----";
27 (*replace met 'IntegrierenUndKonstanteBestimmen' with this script...*)
29 "Script BiegelinieScript " ^
30 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
31 "(rb_rb::bool list) (rm_rm::bool list) = " ^
32 " (let q___q = Take (M_b v_v = q__q); " ^
33 " (M1__M1::bool) = ((Substitute [v_v = 0])) q___q " ^
36 val sc' = ((inst_abs thy) o term_of o the o (parse thy)) str;
39 "Script BiegelinieScript " ^
40 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
41 "(rb_rb::bool list) (rm_rm::bool list) = " ^
42 " (M1__M1::bool) = ((Substitute [v_v = 0]) @@ " ^
43 " in True)";(*..doesnt find Substitute with ..@@ !!!!!!!!!!!!!!!!!!!!!*)
46 "Script BiegelinieScript " ^
47 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
48 "(rb_rb::bool list) (rm_rm::bool list) = " ^
49 " (let q___q = Take (q_q v_v = q__q); " ^
50 " (M1__M1::bool) = Substitute [v_v = 0] q___q ; " ^
51 " M1__m1 = Substitute [M_b 0 = 0] M1__M1 " ^
55 "Script BiegelinieScript " ^
56 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
57 "(rb_rb::bool list) (rm_rm::bool list) = " ^
58 " (let q___q = Take (q_q v_v = q__q); " ^
59 " (M1__M1::bool) = Substitute [v_v = 0] q___q ; " ^
60 " M1__M1 = Substitute [v_v = 1] q___q ; " ^
61 " M1__M1 = Substitute [v_v = 2] q___q ; " ^
62 " M1__M1 = Substitute [v_v = 3] q___q ; " ^
63 " M1__M1 = Substitute [M_b 0 = 0] M1__M1 " ^
67 "Script BiegelinieScript " ^
68 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
69 "(rb_rb::bool list) (rm_rm::bool list) = " ^
70 " (let q___q = Take (M_b v_v = q__q); " ^
71 " (M1__M1::bool) = Substitute [v_v = 0] q___q ; " ^
72 " M2__M2 = Take q___q ; " ^
73 " M2__M2 = Substitute [v_v = 2] q___q " ^
77 val sc' = ((inst_abs thy) o term_of o the o (parse thy)) str;
80 val {scr = Prog sc,...} = get_met ["IntegrierenUndKonstanteBestimmen"];
81 (*---------------------------------------------------------------------
82 if sc = sc' then () else error"script.sml, doesnt find Substitute #1";
83 ---------------------------------------------------------------------*)
85 "----------- WN0509 Substitute 2nd part --------------------------";
86 "----------- WN0509 Substitute 2nd part --------------------------";
87 "----------- WN0509 Substitute 2nd part --------------------------";
88 (*replace met 'IntegrierenUndKonstanteBestimmen' with this script...*)
89 val str = (*Substitute ; Substitute works*)
90 "Script BiegelinieScript " ^
91 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
92 "(rb_rb::bool list) (rm_rm::bool list) = "^
93 (*begin after the 2nd integrate*)
94 " (let M__M = Take (M_b v_v = q__q); " ^
95 " e1__e1 = nth_nth 1 rm_rm ; " ^
96 " (x1__x1::real) = argument_in (lhs e1__e1); " ^
97 " (M1__M1::bool) = Substitute [v_v = x1__x1] M__M; " ^
98 " M1__M1 = Substitute [e1__e1] M1__M1 " ^
101 val sc' = ((inst_abs thy) o term_of o the o (parse thy)) str;
104 val str = (*Substitute @@ Substitute does NOT work???*)
105 "Script BiegelinieScript " ^
106 "(l_l::real) (q__q::real) (v_v::real) (b_b::real=>real) " ^
107 "(rb_rb::bool list) (rm_rm::bool list) = "^
108 (*begin after the 2nd integrate*)
109 " (let M__M = Take (M_b v_v = q__q); " ^
110 " e1__e1 = nth_nth 1 rm_rm ; " ^
111 " (x1__x1::real) = argument_in (lhs e1__e1); " ^
112 " (M1__M1::bool) = ((Substitute [v_v = x1__x1]) @@ " ^
113 " (Substitute [e1__e1])) M__M " ^
117 val {scr = Prog sc,...} = get_met ["IntegrierenUndKonstanteBestimmen"];
118 (*---------------------------------------------------------------------
119 if sc = sc' then () else error "script.sml, doesnt find Substitute #1";
120 ---------------------------------------------------------------------*)
121 val fmz = ["Traegerlaenge L",
122 "Streckenlast (- q_0 * x^^^2 / 2 + x * c + c_2)",
124 "RandbedingungenBiegung [y 0 = 0, y L = 0]",
125 "RandbedingungenMoment [M_b 0 = 0, M_b L = 0]",
126 "FunktionsVariable x"];
128 ("Biegelinie",["MomentBestimmte","Biegelinien"],
129 ["IntegrierenUndKonstanteBestimmen"]);
130 val p = e_pos'; val c = [];
131 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
132 val (p,_,f,nxt,_,pt) = me nxt p c pt; val (p,_,f,nxt,_,pt) = me nxt p c pt;
133 val (p,_,f,nxt,_,pt) = me nxt p c pt; val (p,_,f,nxt,_,pt) = me nxt p c pt;
134 val (p,_,f,nxt,_,pt) = me nxt p c pt; val (p,_,f,nxt,_,pt) = me nxt p c pt;
135 val (p,_,f,nxt,_,pt) = me nxt p c pt; val (p,_,f,nxt,_,pt) = me nxt p c pt;
136 val (p,_,f,nxt,_,pt) = me nxt p c pt; val (p,_,f,nxt,_,pt) = me nxt p c pt;
137 val (p,_,f,nxt,_,pt) = me nxt p c pt;
138 val (p,_,f,nxt,_,pt) = me nxt p c pt;
139 case nxt of (_, Apply_Method ["IntegrierenUndKonstanteBestimmen"]) => ()
140 | _ => error "script.sml, doesnt find Substitute #2";
141 (* ERROR: caused by f2str f *)
142 trace_rewrite := false;
144 val (p,_,f,nxt,_,pt) = me nxt p c pt; f2str f(*------------------------*);
145 trace_rewrite:=false;
146 (*Exception TYPE raised:
147 Illegal type for constant "HOL.eq" :: "[real, bool] => bool"
148 Atools.argument'_in (Tools.lhs (ListG.nth_ (1 + -1 + -1) [])) =
149 ListG.nth_ (1 + -1 + -1) []
152 ("Illegal type for constant \"op =\" :: \"[real, bool] => bool\"",
154 [Const ("HOL.Trueprop", "bool => prop") $
155 (Const ("HOL.eq", "[RealDef.real, bool] => bool") $ ... $ ...)])
157 ... this was because eval_argument_in took "argument_in (lhs (M_b 0 = 0))"
158 ie. the argument had not been simplified before ^^^^^^^^^^^^^^^
159 thus corrected eval_argument_in OK*)
160 val {srls,...} = get_met ["IntegrierenUndKonstanteBestimmen"];
161 val e1__e1 = str2term "NTH 1 [M_b 0 = 0, M_b L = 0]";
162 val e1__e1 = eval_listexpr_ @{theory Biegelinie} srls e1__e1; term2str e1__e1;
163 if term2str e1__e1 = "M_b 0 = 0"
165 else error"script.sml diff.beh. eval_listexpr_ nth_nth 1 [...";
167 (*TODO.WN050913 ??? doesnt eval_listexpr_ go into subterms ???...
168 val x1__ = str2term"argument_in (lhs (M_b 0 = 0))";
169 val x1__ = eval_listexpr_ Biegelinie.thy srls x1__; term2str x1__;
171 calculate_ Biegelinie.thy ("Tools.lhs", eval_rhs"eval_lhs_") x1__;
172 val SOME (str, t) = eval_lhs 0 "Tools.lhs" (str2term"lhs (M_b 0 = 0)") 0;*)
174 val l__l = str2term "lhs (M_b 0 = 0)";
175 val l__l = eval_listexpr_ @{theory Biegelinie} srls l__l; term2str l__l;
176 val SOME (str, t) = eval_lhs 0 "Tools.lhs" (str2term "lhs (M_b 0 = 0)") 0;
178 val (p,_,f,nxt,_,pt) = me nxt p c pt; f2str f (*------------------------*);
179 if nxt = ("Rewrite", Rewrite ("Belastung_Querkraft", "Biegelinie.Belastung_Querkraft"))
180 then () else error "";
183 "----------- fun sel_appl_atomic_tacs ----------------------------";
184 "----------- fun sel_appl_atomic_tacs ----------------------------";
185 "----------- fun sel_appl_atomic_tacs ----------------------------";
188 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
189 ("Test", ["sqroot-test","univariate","equation","test"],
190 ["Test","squ-equ-test-subpbl1"]))];
193 autoCalculate 1 CompleteCalcHead;
194 autoCalculate 1 (Step 1);
195 autoCalculate 1 (Step 1);
196 val ((pt, p), _) = get_calc 1; show_pt pt;
197 val appltacs = sel_appl_atomic_tacs pt p;
200 [Rewrite ("radd_commute", "Test.radd_commute") (*"?m + ?n = ?n + ?m"*),
201 Rewrite ("radd_assoc", "?m + ?n + ?k = ?m + (?n + ?k)"), Calculate "TIMES"] *)
202 [Rewrite ("radd_commute", "Test.radd_commute"),
203 Rewrite ("add_assoc", "Groups.semigroup_add_class.add_assoc"), Calculate "TIMES"]
204 then () else error "script.sml fun sel_appl_atomic_tacs diff.behav.";
206 trace_script := true;
207 trace_script := false;
208 applyTactic 1 p (hd appltacs);
209 val ((pt, p), _) = get_calc 1; show_pt pt;
210 val appltacs = sel_appl_atomic_tacs pt p;
211 (*applyTactic 1 p (hd appltacs); WAS assy: call by ([3], Pbl)*)
213 "~~~~~ fun applyTactic, args:"; val ((cI:calcID), ip, tac) = (1, p, (hd appltacs));
214 val ((pt, _), _) = get_calc cI;
215 val p = get_pos cI 1;
219 (*locatetac tac (pt, ip); (*WAS assy: call by ([3], Pbl)*)*)
220 "~~~~~ fun locatetac, args:"; val (tac, (ptp as (pt, p))) = (tac, (pt, ip));
221 val (mI,m) = mk_tac'_ tac;
222 applicable_in p pt m ; (*Appl*)
223 member op = specsteps mI; (*false*)
224 (*loc_solve_ (mI,m) ptp; (*Argument: (mI, m) : string * tac Reason: Can't unify tac_ with tac*)*)
225 loc_solve_; (*without _ ??? result is -> lOc writing error ???*)
226 (*val it = fn: string * tac_ -> ptree * (pos * pos_) -> lOc_*)
227 (mI,m); (*string * tac*)
228 ptp (*ptree * pos'*);
229 "~~~~~ fun loc_solve_, args:"; val (m ,(pt,pos)) = ((mI,m), ptp);
230 (*val (msg, cs') = solve m (pt, pos);
231 (*Argument: m : string * tac Reason: Can't unify tac_ with tac (Different type constructors)*)*)
234 "~~~~~ fun solve, args:"; val ((mI,m), (pt, po as (p,p_))) = (m, (pt, pos));
235 (*solve has still p_!!!!!!!!!!!!!!!!!!!!!!!!!*)
237 e_metID = get_obj g_metID pt (par_pblobj pt p); (*false*)
238 val ctxt = get_ctxt pt po;
240 (*generate1 (assoc_thy (get_obj g_domID pt (par_pblobj pt p))) m (e_istate, ctxt) (p,p_) pt;
241 (*Argument: m : tac Reason: Can't unify tac_ with tac (Different type constructors)*)*)
242 (assoc_thy (get_obj g_domID pt (par_pblobj pt p)));
245 autoCalculate 1 CompleteCalc;
247 "----------- fun init_form, fun get_stac -------------------------";
248 "----------- fun init_form, fun get_stac -------------------------";
249 "----------- fun init_form, fun get_stac -------------------------";
250 val fmz = ["equality (x+1=(2::real))", "solveFor x", "solutions L"];
251 val (dI',pI',mI') = ("Test",["sqroot-test","univariate","equation","test"],
252 ["Test","squ-equ-test-subpbl1"]);
253 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
254 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
255 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
256 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
257 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
258 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
259 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
260 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
261 "~~~~~ fun me, args:"; val (_,tac) = nxt;
262 "~~~~~ fun locatetac, args:"; val ptp as (pt, p) = (pt, p);
263 val (mI,m) = mk_tac'_ tac;
264 val Appl m = applicable_in p pt m;
265 member op = specsteps mI; (*false*)
266 "~~~~~ fun loc_solve_, args:"; val (m, (pt, pos) ) = ((mI, m), ptp);
267 "~~~~~ fun solve, args:"; val (("Apply_Method", Apply_Method' (mI,_,_,_)), pos as (p,_)) = (m, pos);
268 val {srls, ...} = get_met mI;
269 val PblObj {meth=itms, ...} = get_obj I pt p;
270 val thy' = get_obj g_domID pt p;
271 val thy = assoc_thy thy';
272 val (is as ScrState (env,_,_,_,_,_), ctxt, sc) = init_scrstate thy itms mI;
273 val ini = init_form thy sc env;
274 "----- fun init_form, args:"; val (Prog sc) = sc;
275 "----- fun get_stac, args:"; val (y, h $ body) = (thy, sc);
276 case get_stac thy sc of SOME (Free ("e_e", _)) => ()
277 | _ => error "script: Const (?, ?) in script (as term) changed";;
280 "----------- x+1=2 start SubProblem 'stac2tac_ TODO: no match for ";
281 "----------- x+1=2 start SubProblem 'stac2tac_ TODO: no match for ";
282 "----------- x+1=2 start SubProblem 'stac2tac_ TODO: no match for ";
283 val fmz = ["equality (x+1=(2::real))", "solveFor x","solutions L"];
285 ("Test", ["sqroot-test","univariate","equation","test"],
286 ["Test","squ-equ-test-subpbl1"]);
287 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
288 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
289 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
290 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
291 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
292 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
293 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
294 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
295 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
296 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
297 (*val (p,_,f,nxt,_,pt) = me nxt p [1] pt; WAS: Empty_Tac, helpless*)
299 "~~~~~ fun me, args:"; val (_,tac) = nxt;
300 val (pt, p) = case locatetac tac (pt,p) of
301 ("ok", (_, _, ptp)) => ptp | _ => error "script.sml locatetac";
302 "~~~~~ fun step, args:"; val (ip as (_,p_), (ptp as (pt,p), tacis)) = (p, ((pt, e_pos'), []))
303 val pIopt = get_pblID (pt,ip); (*SOME ["linear", "univariate", "equation", "test"]*)
305 member op = [Pbl,Met] p_ andalso is_none (get_obj g_env pt (fst p)); (*= false*)
306 "~~~~~ fun nxt_solve_, args:"; val (ptp as (pt, pos as (p, p_))) = (pt, ip);
307 (*WAS stac2tac_ TODO: no match for SubProblem*)
308 val thy' = get_obj g_domID pt (par_pblobj pt p);
309 val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt;
310 "~~~~~ fun next_tac, args:"; val (thy, (ptp as (pt,(p,_)):ptree * pos'), (sc as Prog (h $ body)),
311 (ScrState (E,l,a,v,s,b), ctxt)) = ((thy',srls), (pt,pos), sc, is);
312 l; (*= [R, L, R, L, R, R]*)
313 val Appy (m', scrst as (_,_,_,v,_,_)) = nstep_up thy ptp sc E l Skip_ a v;
314 "~~~~~ dont like to go into nstep_up...";
315 val t = str2term ("SubProblem" ^
316 "(Test', [linear, univariate, equation, test], [Test, solve_linear])" ^
317 "[BOOL (-1 + x = 0), REAL x]");
318 val (tac, tac_) = stac2tac_ pt @{theory "Isac"} t; (*WAS stac2tac_ TODO: no match for SubProblem*)
321 | _ => error "script.sml x+1=2 start SubProblem from script";
324 "----------- Take as 1st stac in script --------------------------";
325 "----------- Take as 1st stac in script --------------------------";
326 "----------- Take as 1st stac in script --------------------------";
327 val p = e_pos'; val c = [];
328 val (p,_,f,nxt,_,pt) =
330 [(["functionTerm (x^^^2 + 1)", "integrateBy x", "antiDerivative FF"],
331 ("Integrate", ["integrate","function"], ["diff","integration"]))];
332 val (p,_,f,nxt,_,pt) = me nxt p c pt; (*nxt = ("Tac ", ...) --> Add_Given...*)
333 val (p,_,f,nxt,_,pt) = me nxt p c pt;
334 val (p,_,f,nxt,_,pt) = me nxt p c pt;
335 val (p,_,f,nxt,_,pt) = me nxt p c pt;
336 val (p,_,f,nxt,_,pt) = me nxt p c pt;
337 val (p,_,f,nxt,_,pt) = me nxt p c pt;
338 val (p,_,f,nxt,_,pt) = me nxt p c pt;
339 case nxt of (_, Apply_Method ["diff", "integration"]) => ()
340 | _ => error "integrate.sml -- me method [diff,integration] -- spec";
341 "----- step 8: returns nxt = Rewrite_Set_Inst ([\"(bdv, x)\"],\"integration\")";
343 "~~~~~ fun me, args:"; val (((_,tac):tac'_), (p:pos'), _, (pt:ptree)) = (nxt, p, c, pt);
344 "~~~~~ fun locatetac, args:"; val (tac, (ptp as (pt, p))) = (tac, (pt,p));
345 val (mI,m) = mk_tac'_ tac;
346 val Appl m = applicable_in p pt m;
347 member op = specsteps mI (*false*);
348 "~~~~~ fun loc_solve_, args:"; val (m, (pt,pos)) = ((mI,m), ptp);
349 "~~~~~ fun solve, args:"; val ((_, m as Apply_Method' (mI, _, _, _)), (pt, (pos as (p,_)))) =
351 val {srls, ...} = get_met mI;
352 val PblObj {meth=itms, ...} = get_obj I pt p;
353 val thy' = get_obj g_domID pt p;
354 val thy = assoc_thy thy';
355 val (is as ScrState (env,_,_,_,_,_), ctxt, sc) = init_scrstate thy itms mI;
356 val ini = init_form thy sc env;
359 val (m', (is', ctxt'), _) = next_tac (thy', srls) (pt, (p, Res)) sc (is, ctxt);
360 val d = e_rls (*FIXME: get simplifier from domID*);
361 "~~~~~ fun locate_gen, args:"; val ((ts as (thy',srls)), (m:tac_), ((pt,p):ptree * pos'),
362 (scr as Prog (h $ body),d), (ScrState (E,l,a,v,S,b), ctxt)) =
363 ((thy',srls), m', (pt,(p, Res)), (sc,d), (is', ctxt'));
364 val thy = assoc_thy thy';
365 l = [] orelse ((*init.in solve..Apply_Method...*)
366 (last_elem o fst) p = 0 andalso snd p = Res); (*true*)
367 "~~~~~ fun assy, args:"; val (ya, (is as (E,l,a,v,S,b),ss),
368 (Const ("HOL.Let",_) $ e $ (Abs (id,T,body)))) =
369 ((thy',ctxt,srls,d,Aundef), ((E,[R],a,v,S,b), [(m,EmptyMout,pt,p,[])]), body);
370 (*check: true*) term2str e = "Take (Integral f_f D v_v)";
371 "~~~~~ fun assy, args:"; val ((thy',ctxt,sr,d,ap), (is as (E,l,a,v,S,b), (m,_,pt,(p,p_),c)::ss), t) =
372 (ya, ((E , l@[L,R], a,v,S,b),ss), e);
373 val (a', STac stac) = handle_leaf "locate" thy' sr E a v t;
374 (* val ctxt = get_ctxt pt (p,p_)
375 exception PTREE "get_obj: pos = [0] does not exist" raised
376 (line 908 of "/usr/local/isabisac/src/Tools/isac/Interpret/ctree.sml")*)
379 "----------- 'trace_script' from outside 'fun me '----------------";
380 "----------- 'trace_script' from outside 'fun me '----------------";
381 "----------- 'trace_script' from outside 'fun me '----------------";
382 val fmz = ["equality (x+1=(2::real))", "solveFor x","solutions L"];
384 ("Test", ["sqroot-test","univariate","equation","test"],
385 ["Test","squ-equ-test-subpbl1"]);
386 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
387 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
388 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
389 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
390 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
391 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
392 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
393 val (p,_,f,nxt,_,pt) = me nxt p [] pt; (*nxt = Apply_Method ["Test", "squ-equ-test-subpbl1"]*)
394 (*from_pblobj_or_detail': no istate = from_pblobj_or_detail' "Isac" p pt;*)
396 val (p,_,f,nxt,_,pt) = me nxt p [] pt; (*---------------------------------------------------*)
397 val (p'''', pt'''') = (p, pt);
398 f2str f = "x + 1 = 2"; snd nxt = Rewrite_Set "norm_equation";
399 val (p, p_) = p(* = ([1], Frm)*);
400 val (srls, (ScrState scrstate, ctxt), Prog sc) = from_pblobj_or_detail' "Isac" (p, p_) pt;
401 val (env, loc_, curry_arg, res, Safe, true) = scrstate;
402 env2str env = "[\"\n(e_e, x + 1 = 2)\",\"\n(v_v, x)\"]";
405 term2str res = "??.empty"; (* scrstate before starting interpretation *)
406 (*term2str (go loc_ sc) = "Prog Solve_root_equation e_e v_v = ...*)
408 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
409 val (p'''', pt'''') = (p, pt);
410 f2str f = "x + 1 + -1 * 2 = 0"; snd nxt = Rewrite_Set "Test_simplify";
411 val (p, p_) = p(* = ([1], Res)*);
412 val (srls, (ScrState scrstate, ctxt), Prog sc) = from_pblobj_or_detail' "Isac" (p, p_) pt;
413 val (env, loc_, curry_arg, res, Safe, true) = scrstate;
414 env2str env = "[\"\n(e_e, x + 1 = 2)\",\"\n(v_v, x)\"]";
415 loc_ = [R, L, R, L, L, R, R];
416 curry_arg = SOME (str2term "e_e::bool");
417 term2str res = "x + 1 + -1 * 2 = 0";(* scrstate after norm_equation, before Test_simplify *)
418 term2str (go loc_ sc) = "Rewrite_Set norm_equation False";
420 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
421 val (p'''', pt'''') = (p, pt);
422 f2str f = "-1 + x = 0"; snd nxt = Subproblem ("Test", ["linear", "univariate", "equation", "test"]);
423 val (p, p_) = p(* = ([2], Res)*);
424 val (srls, (ScrState scrstate, ctxt), Prog sc) = from_pblobj_or_detail' "Isac" (p, p_) pt;
425 val (env, loc_, curry_arg, res, Safe, false) = scrstate;
426 env2str env = "[\"\n(e_e, x + 1 = 2)\",\"\n(v_v, x)\"]";
427 loc_ = [R, L, R, L, R, R];
428 curry_arg = SOME (str2term "e_e::bool");
429 term2str res = "-1 + x = 0"; (* scrstate after Test_simplify, before Subproblem *)
430 term2str (go loc_ sc) = "Rewrite_Set Test_simplify False";
432 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
433 val (p'''', pt'''') = (p, pt); (*f2str f = exception Match; ...is a model, not a formula*)
434 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
435 val (p'''', pt'''') = (p, pt);
436 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
437 val (p'''', pt'''') = (p, pt);
438 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
439 val (p'''', pt'''') = (p, pt);
440 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
441 val (p'''', pt'''') = (p, pt);
442 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
443 val (p'''', pt'''') = (p, pt);
444 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
445 val (p'''', pt'''') = (p, pt);
446 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*nxt = Apply_Method ["Test", "solve_linear"]*)
447 (*from_pblobj_or_detail': no istate = from_pblobj_or_detail' "Isac" p pt;*)
449 val (p,_,f,nxt,_,pt) = me nxt p [] pt; (*---------------------------------------------------*)
450 val (p'''', pt'''') = (p, pt);
451 f2str f = "-1 + x = 0"; snd nxt = Rewrite_Set_Inst (["(bdv, x)"], "isolate_bdv");
452 val (p, p_) = p(* = ([3, 1], Frm)*);
453 val (srls, (ScrState scrstate, ctxt), Prog sc) = from_pblobj_or_detail' "Isac" (p, p_) pt;
454 val (env, loc_, curry_arg, res, Safe, true) = scrstate;
455 env2str env = "[\"\n(e_e, -1 + x = 0)\",\"\n(v_v, x)\"]";
458 term2str res = "??.empty"; (* scrstate before starting interpretation *)
459 (*term2str (go loc_ sc) = "Prog Solve_linear e_e v_v = ...*)
461 val (p,_,f,nxt,_,pt) = me nxt p'''' [] pt''''; (*-------------------------------------------*)
462 val (p'''', pt'''') = (p, pt);
463 f2str f = "x = 0 + -1 * -1"; snd nxt = Rewrite_Set "Test_simplify";
464 val (p, p_) = p(* = ([3, 1], Res)*);
465 val (srls, (ScrState scrstate, ctxt), Prog sc) = from_pblobj_or_detail' "Isac" (p, p_) pt;
466 val (env, loc_, curry_arg, res, Safe, true) = scrstate;
467 env2str env = "[\"\n(e_e, -1 + x = 0)\",\"\n(v_v, x)\"]";
468 loc_ = [R, L, R, L, R, L, R];
469 curry_arg = SOME (str2term "e_e::bool");
470 term2str res = "x = 0 + -1 * -1";(* scrstate after isolate_bdv, before Test_simplify *)
471 term2str (go loc_ sc) = "Rewrite_Set_Inst [(bdv, v_v)] isolate_bdv False";
473 "----------- fun sel_rules ---------------------------------------";
474 "----------- fun sel_rules ---------------------------------------";
475 "----------- fun sel_rules ---------------------------------------";
476 (* compare test/../interface.sml
477 "--------- getTactic, fetchApplicableTactics ------------";
480 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
481 ("Test", ["sqroot-test","univariate","equation","test"],
482 ["Test","squ-equ-test-subpbl1"]))];
485 autoCalculate 1 CompleteCalc;
486 val ((pt,_),_) = get_calc 1;
489 (*UC\label{SOLVE:MANUAL:TACTIC:listall} UC 30.3.2.2 p.175*)
490 val tacs = sel_rules pt ([],Pbl);
491 if tacs = [Apply_Method ["Test", "squ-equ-test-subpbl1"]] then ()
492 else error "script.sml: diff.behav. in sel_rules ([],Pbl)";
494 val tacs = sel_rules pt ([1],Res);
495 if tacs = [Rewrite_Set "norm_equation", Rewrite_Set "Test_simplify",
496 Subproblem ("Test", ["linear", "univariate", "equation", "test"]),
497 Check_elementwise "Assumptions"] then ()
498 else error "script.sml: diff.behav. in sel_rules ([1],Res)";
500 val tacs = sel_rules pt ([3],Pbl);
501 if tacs = [Apply_Method ["Test", "solve_linear"]] then ()
502 else error "script.sml: diff.behav. in sel_rules ([3],Pbl)";
504 val tacs = sel_rules pt ([3,1],Res);
505 if tacs = [Rewrite_Set_Inst (["(bdv, x)"], "isolate_bdv"),
506 Rewrite_Set "Test_simplify"] then ()
507 else error "script.sml: diff.behav. in sel_rules ([3,1],Res)";
509 val tacs = sel_rules pt ([3],Res);
510 if tacs = [Rewrite_Set "norm_equation", Rewrite_Set "Test_simplify",
511 Subproblem ("Test", ["linear", "univariate", "equation", "test"]),
512 Check_elementwise "Assumptions"] then ()
513 else error "script.sml: diff.behav. in sel_rules ([3],Res)";
515 val tacs = (sel_rules pt ([],Res)) handle PTREE str => [Tac str];
516 if tacs = [Tac "no tactics applicable at the end of a calculation"] then ()
517 else error "script.sml: diff.behav. in sel_rules ([],Res)";
519 "----------- fun sel_appl_atomic_tacs ----------------------------";
520 "----------- fun sel_appl_atomic_tacs ----------------------------";
521 "----------- fun sel_appl_atomic_tacs ----------------------------";
523 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
524 ("Test", ["sqroot-test","univariate","equation","test"],
525 ["Test","squ-equ-test-subpbl1"]))];
528 autoCalculate 1 CompleteCalc;
530 (*UC\label{SOLVE:MANUAL:TACTIC:listall} UC 30.3.2.2 p.175*)
531 fetchApplicableTactics 1 99999 ([],Pbl);
533 fetchApplicableTactics 1 99999 ([1],Res);
534 "~~~~~ fun fetchApplicableTactics, args:"; val (cI, (scope:int), (p:pos')) = (1, 99999, ([1],Res));
535 val ((pt, _), _) = get_calc cI;
537 if sel_rules pt p = [Rewrite_Set "norm_equation", Rewrite_Set "Test_simplify",
538 Subproblem ("Test", ["linear", "univariate", "equation", "test"]),
539 Check_elementwise "Assumptions"] then ()
540 else error "fetchApplicableTactics ([1],Res) changed";
543 sel_appl_atomic_tacs pt p;
545 ### atomic_appl_tacs: not impl. for tac='Subproblem(Test,["linear","univariate","equation","test"])'
546 ### atomic_appl_tacs: not impl. for tac = 'Check_elementwise "Assumptions"'
549 "~~~~~ fun sel_appl_atomic_tacs, args:"; val (pt, (p,p_)) = (pt, p);
550 is_spec_pos p_ = false;
551 val pp = par_pblobj pt p
552 val thy' = (get_obj g_domID pt pp):theory'
553 val thy = assoc_thy thy'
554 val metID = get_obj g_metID pt pp
557 then (thd3 o snd3) (get_obj g_origin pt pp)
559 val {scr=Prog sc,srls,erls,rew_ord'=ro,...} = get_met metID'
560 val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_)
561 val alltacs = (*we expect at least 1 stac in a script*)
562 map ((stac2tac pt thy) o rep_stacexpr o #2 o
563 (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc)
566 Frm => get_obj g_form pt p
567 | Res => (fst o (get_obj g_result pt)) p
568 (*WN120611 stopped and took version 1 again for fetchApplicableTactics !
569 (distinct o flat o (map (atomic_appl_tacs thy ro erls f))) alltacs
571 ### atomic_appl_tacs: not impl. for tac='Subproblem(Test,["linear","univariate","equation","test"])'
572 ### atomic_appl_tacs: not impl. for tac = 'Check_elementwise "Assumptions"'