1 (* Title: Test for rational equations
2 Author: Richard Lang 2009
3 (c) copyright due to lincense terms.
6 "-----------------------------------------------------------------";
7 "table of contents -----------------------------------------------";
8 "-----------------------------------------------------------------";
9 "------------ pbl: rational, univariate, equation ----------------";
10 "------------ solve (1/x = 5, x) by me ---------------------------";
11 "------------ S.68, Bsp.: 40, ((x)/(x - 8) + (x - 8)/(x) = 26/5)--";
12 "------------ x / (x ^ 2 - 6 * x + 9) - 1 / (x ^ 2 - 3 * x) = 1 /x";
13 "-----------------------------------------------------------------";
14 "-----------------------------------------------------------------";
16 val thy = @{theory "RatEq"};
17 val ctxt = Proof_Context.init_global thy;
19 "------------ pbl: rational, univariate, equation ----------------";
20 "------------ pbl: rational, univariate, equation ----------------";
21 "------------ pbl: rational, univariate, equation ----------------";
22 val t = (Thm.term_of o the o (parse thy)) "(1/b+1/x=1) is_ratequation_in x";
23 val SOME (t_, _) = rewrite_set_ thy false RatEq_prls t;
24 val result = term2str t_;
25 if result <> "True" then error "rateq.sml: new behaviour 1:" else ();
27 val t = (Thm.term_of o the o (parse thy)) "(sqrt(x)=1) is_ratequation_in x";
28 val SOME (t_, _) = rewrite_set_ thy false RatEq_prls t;
29 val result = term2str t_;
30 if result <> "False" then error "rateq.sml: new behaviour 2:" else ();
32 val t = (Thm.term_of o the o (parse thy)) "(x=-1) is_ratequation_in x";
33 val SOME (t_,_) = rewrite_set_ thy false RatEq_prls t;
34 val result = term2str t_;
35 if result <> "False" then error "rateq.sml: new behaviour 3:" else ();
37 val t = (Thm.term_of o the o (parse thy)) "(3 + x^^^2 + 1/(x^^^2+3)=1) is_ratequation_in x";
38 val SOME (t_,_) = rewrite_set_ thy false RatEq_prls t;
39 val result = term2str t_;
40 if result <> "True" then error "rateq.sml: new behaviour 4:" else ();
42 val result = match_pbl ["equality (x=(1::real))","solveFor x","solutions L"]
43 (get_pbt ["rational","univariate","equation"]);
44 case result of NoMatch' _ => () | _ => error "rateq.sml: new behaviour: 5";
46 val result = match_pbl ["equality (3 + x^^^2 + 1/(x^^^2+3)=1)","solveFor x","solutions L"]
47 (get_pbt ["rational","univariate","equation"]);
48 case result of Matches' _ => () | _ => error "rateq.sml: new behaviour: 6";
50 "------------ solve (1/x = 5, x) by me ---------------------------";
51 "------------ solve (1/x = 5, x) by me ---------------------------";
52 "------------ solve (1/x = 5, x) by me ---------------------------";
53 val fmz = ["equality (1/x=(5::real))","solveFor x","solutions L"];
54 val (dI',pI',mI') = ("RatEq",["univariate","equation"],["no_met"]);
55 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
56 (* val (p,_,f,nxt,_,pt) = me nxt p [1] pt;------------- now Refine_Tacitly*)
57 (* nxt = ("Model_Problem",Model_Problem ["rational","univariate","equation"]) *)
58 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
59 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
60 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
61 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
63 case nxt of ("Rewrite_Set", Rewrite_Set "RatEq_eliminate") => () | _ => ((*not checked before*));
64 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
66 WN120317.TODO dropped rateq: here "x ~= 0 should at_location to ctxt, but it does not:
67 --- repair NO asms from rls RatEq_eliminate --- shows why.
68 so it needs more effort to find out, how Check_elementwise worked in 2002, see below.
71 (* val nxt = (_,Subproblem ("RatEq",["univariate","equation"] ======= *)
72 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
73 (* val (p,_,f,nxt,_,pt) = me nxt p [1] pt;------------- now Refine_Tacitly*)
74 (*val nxt = ("Model_Problem", Model_Problem ["normalise","polynomial","univariate","equation"])*)
75 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
76 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
77 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
78 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
79 (*val nxt = Apply_Method ["PolyEq", "normalise_poly"])*)
80 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
81 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
82 (* val nxt = (_,Subproblem ("PolyEq",["polynomial","univariate","equation"]=======*)
83 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
84 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
85 (* ("Model_Problem", Model_Problem ["degree_1","polynomial","univariate","equation"])*)
86 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
87 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
88 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
89 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
90 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
91 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
92 val (p''',_,f,nxt''',_,pt''') = me nxt p [1] pt;
93 f2str f = "[x = 1 / 5]";
94 case nxt of ("Check_elementwise", Check_elementwise "Assumptions") => () | _ => ((*not checked before*));
95 "~~~~~ fun me, args:"; val (tac, (p:pos'), _, (pt:ctree)) = (nxt, p, c, pt);
96 val (pt, p) = case locatetac tac (pt,p) of
97 ("ok", (_, _, ptp)) => ptp | _ => error "--- solve (1/x = 5.. locatetac";
98 "~~~~~ fun Step.do_next, args:"; val (ip as (_,p_), (ptp as (pt,p), tacis)) = (p, ((pt, e_pos'), []))
99 val pIopt = get_pblID (pt,ip); (*= SOME ["rational", "univariate", "equation"]
100 1-1 associated to metID ["RatEq", "solve_rat_equation"]*)
102 member op = [Pbl,Met] p_ andalso is_none (get_obj g_env pt (fst p)); (*= false*)
103 "~~~~~ fun do_next, args:"; val (ptp as (pt, pos as (p, p_))) = (pt, ip);
104 val thy' = get_obj g_domID pt (par_pblobj pt p);
105 val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt; (*is: which ctxt?*)
106 "~~~~~ fun find_next_tactic, args:"; val () = ();
107 (*----- outcommented during cleanup of args in lucas-interpreter.sml ------------------------\\* )
108 "~~~~~ fun go_scan_up2, args:"; val (thy, ptp, (Prog sc), E, l, ay, a, v) =
109 (thy, ptp, sc, E, l, Skip_, a, v);
110 1 < length l; (*true*)
111 val up = drop_last l;
112 at_location up sc; (* = Const ("HOL.Let", *)
113 "~~~~~ fun scan_up2, args:"; val (thy, ptp, (scr as (Prog sc)), E, l, ay,
114 (t as Const ("HOL.Let",_) $ _), a, v) = (thy, ptp, (Prog sc), E, up, ay, (at_location up sc), a, v);
115 ay = Napp_; (*false*)
116 val up = drop_last l;
117 val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = at_location up sc; (*Const ("Prog_Tac.SubProblem",..*)
118 val i = mk_Free (i, T);
119 val E = Env.update E (i, v);
120 "~~~~~ fun scan_dn2, args:"; val ((thy as (th,sr)), (pt, p), E, l, t, a, v) =
121 (thy, ptp, E, (up@[R,D]), body, a, v);
122 "~~~~~ fun interpret_leaf, args:"; val (call, thy, srls, (E, (a, v)), t) = ("next ", th, sr, (E, (a, v)), t);
123 "~~~~~ fun eval_leaf, args:"; val (E, a, v,
124 (t as (Const ("Prog_Tac.Check'_elementwise",_) $ _ $ _ ))) = (E, a, v, t);
125 val Program.Tac tm = Program.Tac (subst_atomic E t);
126 term2str tm = "Check_elementwise [x = 1 / 5] {v_v. Assumptions}";
127 (* ------ ^^^ ----- ? "x" ?*)
128 "~~~~~ to interpret_leaf return val:"; val ((Program.Tac stac, a')) = ((Program.Tac (subst_atomic E t), NONE));
129 val stac' = eval_prog_expr (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) stac);
130 term2str stac' = "Check_elementwise [x = 1 / 5] {v_v. Assumptions}";
131 "~~~~~ to scan_dn2 return val:"; val ((a', Program.Tac stac)) = ((a', Program.Tac stac'));
132 val (m,m') = stac2tac_ pt (assoc_thy th) stac;
133 case m of Check_elementwise "Assumptions" => () | _ => (); (*m' = Empty_Tac_ ???!??? *);
134 val (p''''', pt''''', m''''') = (p, pt, m);
135 "~~~~~ fun applicable_in, args:"; val ((p,p_), pt, (m as Check_elementwise pred)) = (p, pt, m);
136 member op = [Pbl,Met] p_; (* = false*)
137 val pp = par_pblobj pt p;
138 val thy' = (get_obj g_domID pt pp):theory';
139 val thy = assoc_thy thy'
140 val metID = (get_obj g_metID pt pp)
141 val {crls,...} = get_met metID
142 val (f,asm) = case p_ of Frm => (get_obj g_form pt p , [])
143 | Res => get_obj g_result pt p;
144 term2str f = "[x = 1 / 5]"; (*the current formula*)
145 val vp = (thy2ctxt thy, pred) |-> parseNEW |> the |> mk_set thy pt p f;
146 val (bdv, asms) = vp;
149 terms2str asms = (* asms from rewriting are missing : vvv *)
150 ("[\"<not> matches (?a = 0) (1 = 5 * x) | ~ lhs (1 = 5 * x) is_poly_in x\",\"x = 1 / 5\"," ^
151 "\"lhs (1 + -5 * x = 0) is_poly_in x\",\"lhs (1 + -5 * x = 0) has_degree_in x = 1\"," ^
152 "\"1 / x = 5 is_ratequation_in x\"]");
154 WN120317.TODO dropped rateq: ctxt should contain "x ~= 0 here, but it does not, see above.
157 val Appl (Check_elementwise' (curr_form, pred, (res, asms))) = applicable_in p''''' pt''''' m''''';
158 term2str curr_form = "[x = 1 / 5]";
159 pred = "Assumptions";
160 res = str2term "[]::bool list";
163 val (p,_,f,nxt,_,pt) = me nxt''' p''' [] pt'''; (*<<<----- this caused the error*)
165 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
167 if p = ([], Res) andalso f2str f = "[x = 1 / 5]"
168 then case nxt of ("End_Proof'", End_Proof') => ()
169 | _ => error "rateq.sml: new behaviour: [x = 1 / 5] 1"
170 else error "rateq.sml: new behaviour: [x = 1 / 5] 2";
171 ( *----- outcommented during cleanup of args in lucas-interpreter.sml ------------------------//*)
173 "------------ S.68, Bsp.: 40, ((x)/(x - 8) + (x - 8)/(x) = 26/5)--";
174 "------------ S.68, Bsp.: 40, ((x)/(x - 8) + (x - 8)/(x) = 26/5)--";
175 "------------ S.68, Bsp.: 40, ((x)/(x - 8) + (x - 8)/(x) = 26/5)--";
176 (*EP Schalk_II_p68_n40*)
177 val fmz = ["equality ((x)/(x - 8) + (x - 8)/(x) = 26/(5::real))","solveFor x","solutions L"];
178 val (dI',pI',mI') = ("RatEq",["univariate","equation"],["no_met"]);
179 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
180 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
181 (* nxt = ("Model_Problem",Model_Problem ["rational","univariate","equation"])*)
182 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
183 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
184 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
185 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
186 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
187 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
188 (* nxt = ("Subproblem",Subproblem ("RatEq",["univariate","equation"]))*)
189 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
190 (* nxt = ("Model_Problem", Model_Problem ["normalise","polynomial","univariate","equation"])*)
191 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
192 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
193 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
194 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
195 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
197 if p = ([4, 3], Pbl) then ()
200 ("Add_Given", Add_Given "solveFor x") =>
202 PpcKF (Problem [], {Given = [Incompl "solveFor", Correct "equality (320 + 128 * x + -16 * x ^^^ 2 = 0)"], ...}) => ()
203 | _ => error ("S.68, Bsp.: 40 PblObj changed"))
204 | _ => error ("S.68, Bsp.: 40 changed nxt =" ^ tac2str (snd nxt)));
206 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
207 (* ("Subproblem", Subproblem ("PolyEq",["polynomial","univariate","equation"])) *)
208 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
209 (* nxt = ("Model_Problem", Model_Problem
210 ["abcFormula","degree_2","polynomial","univariate","equation"])*)
211 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
212 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
213 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
214 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
215 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
216 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
217 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
218 if p = ([], Res) andalso f2str f = "[]" then ()
219 else error "rateq.sml: new behaviour: [x = -2, x = 10]";
221 "------------ x / (x ^ 2 - 6 * x + 9) - 1 / (x ^ 2 - 3 * x) = 1 /x";
222 "------------ x / (x ^ 2 - 6 * x + 9) - 1 / (x ^ 2 - 3 * x) = 1 /x";
223 "------------ x / (x ^ 2 - 6 * x + 9) - 1 / (x ^ 2 - 3 * x) = 1 /x";
224 (*ER-7*) (*Schalk I s.87 Bsp 55b*)
225 val fmz = ["equality (x/(x^^^2 - 6*x+9) - 1/(x^^^2 - 3*x) =1/x)",
226 "solveFor x","solutions L"];
227 val (dI',pI',mI') = ("RatEq",["univariate","equation"],["no_met"]);
228 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
229 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
230 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
231 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
232 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
233 case nxt of ("Apply_Method", Apply_Method ["RatEq", "solve_rat_equation"]) => ()
234 | _ => error "55b root specification broken";
235 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
236 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
237 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
238 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
239 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
240 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
241 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
242 case nxt of ("Apply_Method", Apply_Method ["PolyEq", "normalise_poly"]) => ()
243 | _ => error "55b normalise_poly specification broken 1";
244 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
245 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
246 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
247 if p = ([4, 3], Res) andalso f2str f = "-6 * x + 5 * x ^^^ 2 = 0"
250 ("Subproblem", Subproblem ("PolyEq", ["bdv_only", "degree_2", "polynomial", "univariate", "equation"])) => ()
251 | _ => error ("S.68, Bsp.: 40 nxt =" ^ tac2str (snd nxt))))
253 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
254 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
255 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
256 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
257 case nxt of ("Apply_Method", Apply_Method ["PolyEq", "solve_d2_polyeq_bdvonly_equation"]) => ()
258 | _ => error "55b normalise_poly specification broken 2";
259 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
260 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
261 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
262 val (p,_,f,nxt,_,pt) = me nxt p [1] pt; val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
264 f2str f = "[x = 0, x = 6 / 5]"; (*= GUI*)
265 case snd nxt of Check_elementwise "Assumptions" => () | _ => ((*not checked before*)); (*= GUI*)
266 if terms2str (get_assumptions_ pt p) = "[\"x = 6 / 5\"," ^
268 "\"lhs (-6 * x + 5 * x ^^^ 2 = 0) is_poly_in x\"," ^
269 "\"lhs (-6 * x + 5 * x ^^^ 2 = 0) has_degree_in x = 2\"]"
270 then () else error "rateq.sml: diff.behav. in I s.87 Bsp 55b [x = 6 / 5], asms";
273 WN120317.TODO dropped rateq: ctxt should contain "x ~= 0 here, but it does not.
275 The step-into-source contains an error; this error can be detected by
276 test --- 'trace_script' from outside 'fun me '---
278 val (pt''', p''') = (pt, p);
279 "~~~~~ fun me, args:"; val (tac, (p:pos'), _, (pt:ctree)) = (nxt, p, c, pt);
280 val (pt, p) = case locatetac tac (pt,p) of
281 ("ok", (_, _, ptp)) => ptp | _ => error "error in test setup";
282 "~~~~~ Step.do_next, args:"; val (((ip as (_,p_)):pos'), ((ptp as (pt,p), tacis):calcstate)) =
283 (p, ((pt, e_pos'),[]));
284 val pIopt = get_pblID (pt,ip);
285 ip = ([],Res); (* = false*)
287 member op = [Pbl,Met] p_ andalso is_none (get_obj g_env pt (fst p)); (* = false*)
288 "~~~~~ and do_next, args:"; val ((ptp as (pt, pos as (p,p_)))) = ((pt,ip));
289 e_metID = get_obj g_metID pt (par_pblobj pt p); (* = false*)
290 val thy' = get_obj g_domID pt (par_pblobj pt p);
291 val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt;
292 "~~~~~ fun find_next_tactic, args:"; val (thy, (ptp as (pt, pos as (p, _)):ctree * pos'),
293 (sc as Prog (h $ body)), (Pstate (E,l,a,v,s,b), ctxt)) = ((thy',srls), (pt,pos), sc, is);
294 (*----- outcommented during cleanup of args in lucas-interpreter.sml ------------------------\\* )
296 "~~~~~ and go_scan_up2, args:"; val (thy, ptp, (Prog sc), E, l, ay, a, v) =
297 (thy, ptp, sc, E, l, Skip_, a, v);
298 1 < length l; (* = true*)
299 val up = drop_last l;
300 (*val (t as Abs (_,_,_)) = *)(at_location up sc);
301 "~~~~~ fun scan_up2, args:"; val (thy, ptp, scr, E, l, ay, (t as Abs (_,_,_)), a, v) =
302 (thy, ptp, (Prog sc), E, up, ay, (at_location up sc), a, v);
303 term2str t = "%L_La. Check_elementwise L_L {v_v. Assumptions}";
304 "~~~~~ and go_scan_up2, args:"; val (thy, ptp, (Prog sc), E, l, ay, a, v) =
305 (thy, ptp, scr, E, l, ay, a, v);
306 1 < length l; (* = true*)
307 val up = drop_last l;
308 (*val (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) = *)(at_location up sc);
309 "~~~~~ fun scan_up2, args:"; val (thy, ptp, scr, E, l, ay,
310 (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))), a, v) = (thy, ptp, (Prog sc), E, up, ay, (at_location up sc), a, v);
312 term2str t = "let L_La =\n SubProblem (RatEqX, [univariate, equation], [no_met])\n [BOOL e_e, REAL v_v]\nin Check_elementwise L_L {v_v. Assumptions}";
314 (* comment from BEFORE Isabelle2002 --> 2011:
315 scan_up2 thy ptp (Prog sc) E up ay (at_location up sc) a v;
316 go_scan_up2 thy ptp scr E l ay a v;
317 scan_up2 thy ptp (Prog sc) E up ay (at_location up sc) a v;
318 go_scan_up2 thy ptp sc E l Skip_ a v;
319 find_next_tactic sc (pt,pos) is (*is as (ist, ctxt) ---> ist ctxt*);
320 Step_Solve.do_next (pt,ip);
321 Step.do_next p ((pt, e_pos'),[]);
323 val (p,_,f,nxt,_,pt) = me nxt p''' [1] pt''';
324 val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
326 if p = ([], Res) andalso f2str f = "[]"
327 then case nxt of ("End_Proof'", End_Proof') => ()
328 | _ => error "rlang.sml: diff.behav. in Schalk I s.87 Bsp 55b [x = 6 / 5] 1"
329 else error "rlang.sml: diff.behav. in Schalk I s.87 Bsp 55b [x = 6 / 5] 2";
330 ( *----- outcommented during cleanup of args in lucas-interpreter.sml ------------------------//*)