1 (* Title: tests on inform.sml
2 Author: Walther Neuper 060225,
3 (c) due to copyright terms
5 use"../smltest/ME/inform.sml";
9 "-----------------------------------------------------------------";
10 "table of contents -----------------------------------------------";
11 "-----------------------------------------------------------------";
12 "appendForm with miniscript with mini-subpbl:";
13 "--------- appendFormula: on Res + equ_nrls ----------------------";
14 "--------- appendFormula: on Frm + equ_nrls ----------------------";
15 "--------- appendFormula: on Res + NO deriv ----------------------";
16 "--------- appendFormula: on Res + late deriv --------------------";
17 "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
18 "replaceForm with miniscript with mini-subpbl:";
19 "--------- replaceFormula: on Res + = ----------------------------";
20 "--------- replaceFormula: on Res + = 1st Nd ---------------------";
21 "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
22 "--------- replaceFormula: cut calculation -----------------------";
23 "--------- replaceFormula: cut calculation -----------------------";
24 (* 040307 copied from informtest.sml ... old versions
25 "--------- maximum-example, UC: Modeling / modifyCalcHead --------";*)
26 "--------- syntax error ------------------------------------------";
28 "--------- CAS-command on ([],Pbl) -------------------------------";
29 "--------- CAS-command on ([],Pbl) FE-interface ------------------";
30 "--------- inform [rational,simplification] ----------------------";
31 "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
32 "--------- Take as 1st tac, start from exp -----------------------";
33 "--------- init_form, start with <NEW> (CAS input) ---------------";
34 "--------- build fun check_err_patt ------------------------------";
35 "--------- build fun check_err_patt ?bdv -------------------------";
36 "--------- build fun check_error_patterns ------------------------";
37 "--------- embed fun check_error_patterns ------------------------";
38 "--------- embed fun find_fillpatterns ---------------------------";
39 "-----------------------------------------------------------------";
40 "-----------------------------------------------------------------";
41 "-----------------------------------------------------------------";
48 "--------- appendFormula: on Res + equ_nrls ----------------------";
49 "--------- appendFormula: on Res + equ_nrls ----------------------";
50 "--------- appendFormula: on Res + equ_nrls ----------------------";
52 val Script sc = (#scr o get_met) ["Test","squ-equ-test-subpbl1"];
53 (writeln o term2str) sc;
54 val Script sc = (#scr o get_met) ["Test","solve_linear"];
55 (writeln o term2str) sc;
58 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
59 ("Test", ["sqroot-test","univariate","equation","test"],
60 ["Test","squ-equ-test-subpbl1"]))];
61 Iterator 1; moveActiveRoot 1;
62 autoCalculate 1 CompleteCalcHead;
63 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
64 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
66 appendFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
67 val ((pt,_),_) = get_calc 1;
68 val str = pr_ptree pr_short pt;
71 (*============ inhibit exn AK110726 ==============================================
72 (* 2nd string should be the same as 1st one *)
73 ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n2.1. x + 1 + -1 * 2 = 0\n2.2. 1 + x + -1 * 2 = 0\n2.3. 1 + (x + -1 * 2) = 0\n2.4. 1 + (x + -2) = 0\n2.5. 1 + (x + -2 * 1) = 0\n2.6. 1 + x + -2 * 1 = 0\n";
74 ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n2.1. x + 1 + -1 * 2 = 0\n2.2. -1 * 2 + (x + 1) = 0\n2.3. -1 * 2 + (1 + x) = 0\n2.4. 1 + (-1 * 2 + x) = 0\n2.5. 1 + (-2 + x) = 0\n2.6. 1 + (-2 * 1 + x) = 0\n";
75 if str = ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n2.1. x + 1 + -1 * 2 = 0\n2.2. -1 * 2 + (x + 1) = 0\n2.3. -1 * 2 + (1 + x) = 0\n2.4. 1 + (-1 * 2 + x) = 0\n2.5. 1 + (-2 + x) = 0\n2.6. 1 + (-2 * 1 + x) = 0\n" then ()
76 else error "inform.sml: diff.behav.appendFormula: on Res + equ 1";
77 ============ inhibit exn AK110726 ==============================================*)
79 moveDown 1 ([ ],Pbl); refFormula 1 ([1],Frm); (*x + 1 = 2*)
80 moveDown 1 ([1],Frm); refFormula 1 ([1],Res); (*x + 1 + -1 * 2 = 0*)
82 (*the seven steps of detailed derivation*)
83 moveDown 1 ([1 ],Res); refFormula 1 ([2,1],Frm);
84 moveDown 1 ([2,1],Frm); refFormula 1 ([2,1],Res);
85 moveDown 1 ([2,1],Res); refFormula 1 ([2,2],Res);
86 moveDown 1 ([2,2],Res); refFormula 1 ([2,3],Res);
87 moveDown 1 ([2,3],Res); refFormula 1 ([2,4],Res);
88 moveDown 1 ([2,4],Res); refFormula 1 ([2,5],Res);
89 moveDown 1 ([2,5],Res); refFormula 1 ([2,6],Res);
90 val ((pt,_),_) = get_calc 1;
91 if "-2 * 1 + (1 + x) = 0" = term2str (fst (get_obj g_result pt [2,6])) then()
92 else error "inform.sml: diff.behav.appendFormula: on Res + equ 2";
94 fetchProposedTactic 1; (*takes Iterator 1 _1_*)
96 (*============ inhibit exn AK110725 ==============================================
97 (* ERROR: exception Bind raised *)
98 val (_,(tac,_,_)::_) = get_calc 1;
99 if tac = Rewrite_Set "Test_simplify" then ()
100 else error "inform.sml: diff.behav.appendFormula: on Res + equ 3";
101 ============ inhibit exn AK110725 ==============================================*)
103 autoCalculate 1 CompleteCalc;
104 val ((pt,_),_) = get_calc 1;
105 if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
106 else error "inform.sml: diff.behav.appendFormula: on Res + equ 4";
107 (* autoCalculate 1 CompleteCalc;
108 val ((pt,p),_) = get_calc 1;
109 (writeln o istates2str) (get_obj g_loc pt [ ]);
110 (writeln o istates2str) (get_obj g_loc pt [1]);
111 (writeln o istates2str) (get_obj g_loc pt [2]);
112 (writeln o istates2str) (get_obj g_loc pt [3]);
113 (writeln o istates2str) (get_obj g_loc pt [3,1]);
114 (writeln o istates2str) (get_obj g_loc pt [3,2]);
115 (writeln o istates2str) (get_obj g_loc pt [4]);
118 "----------------------------------------------------------";
120 val fod = make_deriv (@{theory "Isac"}) Atools_erls
121 ((#rules o rep_rls) Test_simplify)
122 (sqrt_right false (@{theory "Pure"})) NONE
123 (str2term "x + 1 + -1 * 2 = 0");
124 (writeln o trtas2str) fod;
126 val ifod = make_deriv (@{theory "Isac"}) Atools_erls
127 ((#rules o rep_rls) Test_simplify)
128 (sqrt_right false (@{theory "Pure"})) NONE
129 (str2term "-2 * 1 + (1 + x) = 0");
130 (writeln o trtas2str) ifod;
131 fun equal (_,_,(t1, _)) (_,_,(t2, _)) = t1 = t2;
132 val (fod', rifod') = dropwhile' equal (rev fod) (rev ifod);
133 val der = fod' @ (map rev_deriv' rifod');
134 (writeln o trtas2str) der;
135 "----------------------------------------------------------";
138 "--------- appendFormula: on Frm + equ_nrls ----------------------";
139 "--------- appendFormula: on Frm + equ_nrls ----------------------";
140 "--------- appendFormula: on Frm + equ_nrls ----------------------";
142 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
143 ("Test", ["sqroot-test","univariate","equation","test"],
144 ["Test","squ-equ-test-subpbl1"]))];
145 Iterator 1; moveActiveRoot 1;
146 autoCalculate 1 CompleteCalcHead;
147 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x + 1 = 2*);
148 appendFormula 1 "2+ -1 + x = 2"; refFormula 1 (get_pos 1 1);
150 moveDown 1 ([],Pbl); refFormula 1 ([1],Frm) (*x + 1 = 2*);
152 moveDown 1 ([1 ],Frm); refFormula 1 ([1,1],Frm);
153 moveDown 1 ([1,1],Frm); refFormula 1 ([1,1],Res);
154 moveDown 1 ([1,1],Res); refFormula 1 ([1,2],Res);
155 moveDown 1 ([1,2],Res); refFormula 1 ([1,3],Res);
156 moveDown 1 ([1,3],Res); refFormula 1 ([1,4],Res);
157 moveDown 1 ([1,4],Res); refFormula 1 ([1,5],Res);
158 moveDown 1 ([1,5],Res); refFormula 1 ([1,6],Res);
159 val ((pt,_),_) = get_calc 1;
160 if "2 + -1 + x = 2" = term2str (fst (get_obj g_result pt [1,6])) then()
161 else error "inform.sml: diff.behav.appendFormula: on Frm + equ 1";
163 fetchProposedTactic 1; (*takes Iterator 1 _1_*)
164 val (_,(tac,_,_)::_) = get_calc 1;
165 if tac = Rewrite_Set "norm_equation" then ()
166 else error "inform.sml: diff.behav.appendFormula: on Frm + equ 2";
167 autoCalculate 1 CompleteCalc;
168 val ((pt,_),_) = get_calc 1;
169 if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
170 else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
173 "--------- appendFormula: on Res + NO deriv ----------------------";
174 "--------- appendFormula: on Res + NO deriv ----------------------";
175 "--------- appendFormula: on Res + NO deriv ----------------------";
177 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
178 ("Test", ["sqroot-test","univariate","equation","test"],
179 ["Test","squ-equ-test-subpbl1"]))];
180 Iterator 1; moveActiveRoot 1;
181 autoCalculate 1 CompleteCalcHead;
182 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
183 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
185 appendFormula 1 "x = 2";
186 val ((pt,p),_) = get_calc 1;
187 val str = pr_ptree pr_short pt;
189 if str = ". ----- pblobj -----\n1. x + 1 = 2\n" andalso p = ([1], Res)
191 else error "inform.sml: diff.behav.appendFormula: Res + NOder 1";
193 fetchProposedTactic 1;
194 val (_,(tac,_,_)::_) = get_calc 1;
195 if tac = Rewrite_Set "Test_simplify" then ()
196 else error "inform.sml: diff.behav.appendFormula: Res + NOder 2";
197 autoCalculate 1 CompleteCalc;
198 val ((pt,_),_) = get_calc 1;
199 if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
200 else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
203 "--------- appendFormula: on Res + late deriv --------------------";
204 "--------- appendFormula: on Res + late deriv --------------------";
205 "--------- appendFormula: on Res + late deriv --------------------";
207 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
208 ("Test", ["sqroot-test","univariate","equation","test"],
209 ["Test","squ-equ-test-subpbl1"]))];
210 Iterator 1; moveActiveRoot 1;
211 autoCalculate 1 CompleteCalcHead;
212 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
213 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
215 appendFormula 1 "x = 1";
216 val ((pt,p),_) = get_calc 1;
217 val str = pr_ptree pr_short pt;
219 if str = ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n3. ----- pblobj -----\n3.1. -1 + x = 0\n3.2. x = 0 + -1 * -1\n3.2.1. x = 0 + -1 * -1\n3.2.2. x = 0 + 1\n" andalso p = ([3,2], Res)
220 then () (*finds 1 step too early: ([3,2], Res) "x = 1" also by script !!!*)
221 else error "inform.sml: diff.behav.appendFormula: Res + late d 1";
223 fetchProposedTactic 1;
224 val (_,(tac,_,_)::_) = get_calc 1;
225 if tac = Check_Postcond ["linear", "univariate", "equation", "test"] then ()
226 else error "inform.sml: diff.behav.appendFormula: Res + late d 2";
227 autoCalculate 1 CompleteCalc;
228 val ((pt,_),_) = get_calc 1;
229 if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
230 else error "inform.sml: diff.behav.appendFormula: Res + late d 3";
233 "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
234 "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
235 "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
237 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
238 ("Test", ["sqroot-test","univariate","equation","test"],
239 ["Test","squ-equ-test-subpbl1"]))];
240 Iterator 1; moveActiveRoot 1;
241 autoCalculate 1 CompleteCalcHead;
242 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
243 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
244 appendFormula 1 "[x = 3 + -2*1]";
245 val ((pt,p),_) = get_calc 1;
246 val str = pr_ptree pr_short pt;
248 if str=". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n3. ----- pblobj -----\n3.1. -1 + x = 0\n3.2. x = 0 + -1 * -1\n4. [x = 1]\n4.1. [x = 1]\n4.2. [x = -2 + 3]\n4.3. [x = 3 + -2]\n" then ()
249 else error "inform.sml: diff.behav.appendFormula: Res + latEE 1";
250 autoCalculate 1 CompleteCalc;
251 val ((pt,p),_) = get_calc 1;
252 if "[x = 3 + -2 * 1]" = term2str (fst (get_obj g_result pt [])) then ()
253 (* ~~~~~~~~~~ simplify as last step in any script ?!*)
254 else error "inform.sml: diff.behav.appendFormula: Res + latEE 2";
258 "--------- replaceFormula: on Res + = ----------------------------";
259 "--------- replaceFormula: on Res + = ----------------------------";
260 "--------- replaceFormula: on Res + = ----------------------------";
262 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
263 ("Test", ["sqroot-test","univariate","equation","test"],
264 ["Test","squ-equ-test-subpbl1"]))];
265 Iterator 1; moveActiveRoot 1;
266 autoCalculate 1 CompleteCalcHead;
267 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
268 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
269 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*-1 + x*);
271 replaceFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
272 val ((pt,_),_) = get_calc 1;
273 val str = pr_ptree pr_short pt;
276 (*============ inhibit exn AK110725 ==============================================
277 (* 2nd string should be the same as 1st one *)
278 ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n2.1. x + 1 + -1 * 2 = 0\n2.2. 1 + x + -1 * 2 = 0\n2.3. 1 + (x + -1 * 2) = 0\n2.4. 1 + (x + -2) = 0\n2.5. 1 + (x + -2 * 1) = 0\n2.6. 1 + x + -2 * 1 = 0\n";
279 ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n2.1. x + 1 + -1 * 2 = 0\n2.2. -1 * 2 + (x + 1) = 0\n2.3. -1 * 2 + (1 + x) = 0\n2.4. 1 + (-1 * 2 + x) = 0\n2.5. 1 + (-2 + x) = 0\n2.6. 1 + (-2 * 1 + x) = 0\n";
280 if str = ". ----- pblobj -----\n1. x + 1 = 2\n2. x + 1 + -1 * 2 = 0\n2.1. x + 1 + -1 * 2 = 0\n2.2. -1 * 2 + (x + 1) = 0\n2.3. -1 * 2 + (1 + x) = 0\n2.4. 1 + (-1 * 2 + x) = 0\n2.5. 1 + (-2 + x) = 0\n2.6. 1 + (-2 * 1 + x) = 0\n" then()
281 else error "inform.sml: diff.behav.replaceFormula: on Res += 1";
282 ============ inhibit exn AK110725 ==============================================*)
284 autoCalculate 1 CompleteCalc;
285 val ((pt,pos as (p,_)),_) = get_calc 1;
286 if pos = ([],Res) andalso "[x = 1]" = (term2str o fst) (get_obj g_result pt p) then()
287 else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
290 "--------- replaceFormula: on Res + = 1st Nd ---------------------";
291 "--------- replaceFormula: on Res + = 1st Nd ---------------------";
292 "--------- replaceFormula: on Res + = 1st Nd ---------------------";
294 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
295 ("Test", ["sqroot-test","univariate","equation","test"],
296 ["Test","squ-equ-test-subpbl1"]))];
297 Iterator 1; moveActiveRoot 1;
298 autoCalculate 1 CompleteCalcHead;
299 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
300 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
302 replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
303 val ((pt,_),_) = get_calc 1;
304 val str = pr_ptree pr_short pt;
306 if str= ". ----- pblobj -----\n1. x + 1 = 2\n1.1. x + 1 = 2\n1.2. 1 + x = 2\n1.3. 1 + x = -2 + 4\n1.4. x + 1 = -2 + 4\n" then ()
307 else error "inform.sml: diff.behav.replaceFormula: on Res 1 + = 1";
308 autoCalculate 1 CompleteCalc;
309 val ((pt,pos as (p,_)),_) = get_calc 1;
310 if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
311 else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
314 "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
315 "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
316 "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
318 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
319 ("Test", ["sqroot-test","univariate","equation","test"],
320 ["Test","squ-equ-test-subpbl1"]))];
321 Iterator 1; moveActiveRoot 1;
322 autoCalculate 1 CompleteCalcHead;
323 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
325 replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
326 val ((pt,_),_) = get_calc 1;
327 val str = pr_ptree pr_short pt;
329 if str= ". ----- pblobj -----\n1. x + 1 = 2\n1.1. x + 1 = 2\n1.2. 1 + x = 2\n1.3. 1 + x = -2 + 4\n1.4. x + 1 = -2 + 4\n" then ()
330 else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 1";
331 autoCalculate 1 CompleteCalc;
332 val ((pt,pos as (p,_)),_) = get_calc 1;
333 if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
334 else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 2";
337 "--------- replaceFormula: cut calculation -----------------------";
338 "--------- replaceFormula: cut calculation -----------------------";
339 "--------- replaceFormula: cut calculation -----------------------";
341 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
342 ("Test", ["sqroot-test","univariate","equation","test"],
343 ["Test","squ-equ-test-subpbl1"]))];
344 Iterator 1; moveActiveRoot 1;
345 autoCalculate 1 CompleteCalc;
346 moveActiveRoot 1; moveActiveDown 1;
347 if get_pos 1 1 = ([1], Frm) then ()
348 else error "inform.sml: diff.behav. cut calculation 1";
350 replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
351 val ((pt,p),_) = get_calc 1;
352 val str = pr_ptree pr_short pt;
354 if p = ([1], Res) then ()
355 else error "inform.sml: diff.behav. cut calculation 2";
358 (* 040307 copied from informtest.sml; ... old version
359 "---------------- maximum-example, UC: Modeling / modifyCalcHead -";
360 "---------------- maximum-example, UC: Modeling / modifyCalcHead -";
361 "---------------- maximum-example, UC: Modeling / modifyCalcHead -";
364 val elems = ["fixedValues [r=Arbfix]","maximum A","valuesFor [a,b]",
365 "relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
366 "relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
367 "relations [A=a*b, a/2=r*sin alpha, b/2=r*cos alpha]",
368 (*^^^ these are the elements for the root-problem (in variants)*)
369 (*vvv these are elements required for subproblems*)
370 "boundVariable a","boundVariable b","boundVariable alpha",
371 "interval {x::real. 0 <= x & x <= 2*r}",
372 "interval {x::real. 0 <= x & x <= 2*r}",
373 "interval {x::real. 0 <= x & x <= pi}",
374 "errorBound (eps=(0::real))"]
375 (*specifying is not interesting for this example*)
376 val spec = ("DiffApp", ["maximum_of","function"],
377 ["DiffApp","max_by_calculus"]);
378 (*the empty model with descriptions for user-guidance by Model_Problem*)
379 val empty_model = [Given ["fixedValues []"],
380 Find ["maximum", "valuesFor"],
381 Relate ["relations []"]];
384 (*!!!!!!!!!!!!!!!!! DON'T USE me FOR FINDING nxt !!!!!!!!!!!!!!!!!!*)
385 val (p,_,f,nxt,_,pt) = CalcTreeTEST [(elems, spec)];
386 (*val nxt = ("Model_Problem", ...*)
387 val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
389 val (p,_,f,nxt,_,pt) = me nxt p c pt;
390 (*nxt = Add_Given "fixedValues [r = Arbfix]"*)
391 val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
393 (0 ,[] ,false ,#Given ,Inc fixedValues [] ,(??.empty, [])),
394 (0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),
395 (0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),
396 (0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))]*)
398 (*the empty CalcHead is checked w.r.t the model and re-established as such*)
399 val (b,pt,ocalhd) = input_icalhd pt (p,"", empty_model, Pbl, e_spec);
400 val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
401 if ocalhd2str ocalhd = "(Pbl, ??.empty, [\n(0 ,[] ,false ,#Given ,Inc fixedValues [] ,(??.empty, [])),\n(0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),\n(0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),\n(0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))], [], \n(\"e_domID\", [\"e_pblID\"], [\"e_metID\"]) )" then () else error "informtest.sml: diff.behav. max 1";
403 (*there is one input to the model (could be more)*)
405 input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
406 Find ["maximum", "valuesFor"],
407 Relate ["relations"]], Pbl, e_spec);
408 val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
409 if ocalhd2str ocalhd = "(Pbl, ??.empty, [\n(1 ,[1,2,3] ,true ,#Given ,Cor fixedValues [r = Arbfix] ,(fix_, [[r = Arbfix]])),\n(0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),\n(0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),\n(0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))], [], \n(\"e_domID\", [\"e_pblID\"], [\"e_metID\"]) )" then ()
410 else error "informtest.sml: diff.behav. max 2";
412 (*this input is complete in variant 3, but the ME doesn't recognize FIXXXXME
413 val (b,pt''''',ocalhd) =
414 input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
415 Find ["maximum A", "valuesFor [a,b]"],
416 Relate ["relations [A=a*b, a/2=r*sin alpha, \
417 \b/2=r*cos alpha]"]], Pbl, e_spec);
418 val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
419 if ocalhd2str ocalhd = ------------^^^^^^^^^^ missing !!!*)
421 (*this input is complete in variant 1 (variant 3 does not work yet)*)
422 val (b,pt''''',ocalhd) =
423 input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
424 Find ["maximum A", "valuesFor [a,b]"],
425 Relate ["relations [A=a*b, \
426 \(a/2)^^^2 + (b/2)^^^2 = r^^^2]"]],
428 val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
430 modifycalcheadOK2xml 111 (bool2str b) ocalhd;
433 "--------- syntax error ------------------------------------------";
434 "--------- syntax error ------------------------------------------";
435 "--------- syntax error ------------------------------------------";
437 CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
438 ("Test", ["sqroot-test","univariate","equation","test"],
439 ["Test","squ-equ-test-subpbl1"]))];
440 Iterator 1; moveActiveRoot 1;
441 autoCalculate 1 CompleteCalcHead;
442 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
443 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
445 appendFormula 1 " x - "; (*<ERROR> syntax error in ' x - ' </ERROR>*)
446 val ((pt,_),_) = get_calc 1;
447 val str = pr_ptree pr_short pt;
449 if str = ". ----- pblobj -----\n1. x + 1 = 2\n" then ()
450 else error "inform.sml: diff.behav.appendFormula: syntax error";
453 "--------- CAS-command on ([],Pbl) -------------------------------";
454 "--------- CAS-command on ([],Pbl) -------------------------------";
455 "--------- CAS-command on ([],Pbl) -------------------------------";
456 val (p,_,f,nxt,_,pt) =
457 CalcTreeTEST [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
458 val ifo = "solve(x+1=2,x)";
459 val (_,(_,c,(pt,p))) = inform ([],[],(pt,p)) "solve(x+1=2,x)";
461 val nxt = ("Apply_Method",Apply_Method ["Test","squ-equ-test-subpbl1"]);
462 val (p,_,f,nxt,_,pt) = me nxt p [] pt;
463 if p = ([1], Frm) andalso f2str f = "x + 1 = 2" then ()
464 else error "inform.sml: diff.behav. CAScmd ([],Pbl)";
467 "--------- CAS-command on ([],Pbl) FE-interface ------------------";
468 "--------- CAS-command on ([],Pbl) FE-interface ------------------";
469 "--------- CAS-command on ([],Pbl) FE-interface ------------------";
471 CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
474 replaceFormula 1 "solve(x+1=2,x)";
475 autoCalculate 1 CompleteCalc;
476 val ((pt,p),_) = get_calc 1;
478 if p = ([], Res) then ()
479 else error "inform.sml: diff.behav. CAScmd ([],Pbl) FE-interface";
482 "--------- inform [rational,simplification] ----------------------";
483 "--------- inform [rational,simplification] ----------------------";
484 "--------- inform [rational,simplification] ----------------------";
486 CalcTree [(["Term (4/x - 3/y - 1)", "normalform N"],
487 ("Rational",["rational","simplification"],
488 ["simplification","of_rationals"]))];
489 Iterator 1; moveActiveRoot 1;
490 autoCalculate 1 CompleteCalcHead;
491 autoCalculate 1 (Step 1);
492 autoCalculate 1 (Step 1);
493 autoCalculate 1 (Step 1);
494 autoCalculate 1 (Step 1);
495 "--- input the next formula that _should_ be presented by mat-engine";
496 appendFormula 1 "(4 * y + -3 * x) / (x * y) + -1";
497 val ((pt,p),_) = get_calc 1;
498 if p = ([4], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
499 else error ("inform.sml: [rational,simplification] 1");
501 "--- input the next formula that would be presented by mat-engine";
502 (*autoCalculate 1 (Step 1);*)
503 appendFormula 1 "(4 * y + -3 * x + -1 * (x * y)) / (x * y)";
504 val ((pt,p),_) = get_calc 1;
505 if p = ([5], Res) andalso (length o children o (get_nd pt)) (fst p) = 0 then ()
506 else error ("inform.sml: [rational,simplification] 2");
508 "--- input the exact final result";(*TODO: Exception- LIST "last_elem" raised*)
509 appendFormula 1 "(-3 * x + 4 * y + -1 * x * y) / (x * y)";
510 val ((pt,p),_) = get_calc 1;
511 if p = ([6], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
512 else error ("inform.sml: [rational,simplification] 3");
515 "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
516 "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
517 "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
518 val t = str2term "Diff (x^^^2 + x + 1, x)";
519 case t of Const ("Diff.Diff", _) $ _ => ()
521 error "diff.sml behav.changed for CAS Diff (..., x)";
523 "-----------------------------------------------------------------";
525 (*2>*)CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
526 (*3>*)Iterator 1;moveActiveRoot 1;
527 "----- here the Headline has been finished";
528 (*4>*)moveActiveFormula 1 ([],Pbl);
529 (*5>*)replaceFormula 1 "Diff (x^2 + x + 1, x)";
530 val ((pt,_),_) = get_calc 1;
531 val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
533 val (SOME istate, NONE) = loc;
535 writeln"-----------------------------------------------------------";
537 writeln (itms2str_ ctxt probl);
538 writeln (itms2str_ ctxt meth);
540 (*============ inhibit exn AK110725 ==============================================
541 (* ERROR: Argument: istate : istate * Proof.context Reason:
542 Can't unify istate to istate * Proof.context *)
543 writeln (istate2str istate);
544 ============ inhibit exn AK110725 ==============================================*)
548 refFormula 1 ([],Pbl) (*--> correct CalcHead*);
549 (*081016 NOT necessary (but leave it in Java):*)
550 (*6>*)(*completeCalcHead*)autoCalculate 1 CompleteCalcHead;
551 "----- here the CalcHead has been completed --- ONCE MORE ?????";
553 (***difference II***)
554 val ((pt,p),_) = get_calc 1;
555 (*val p = ([], Pbl)*)
556 val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
558 val (SOME istate, NONE) = loc;
559 (*============ inhibit exn AK110725 ==============================================
560 (* ERROR: Argument: istate : istate * Proof.context Reason: Can't unify istate to istate * Proof.context *)
561 print_depth 5; writeln (istate2str istate); print_depth 3;
562 ============ inhibit exn AK110725 ==============================================*)
565 ??.empty, Sundef, false)*)
566 print_depth 5; spec; print_depth 3;
568 ["derivative_of", "function"],
569 ["diff", "differentiate_on_R"]) : spec*)
570 writeln (itms2str_ ctxt probl);
572 (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
573 (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
574 (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
575 writeln (itms2str_ ctxt meth);
577 (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
578 (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
579 (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
580 writeln"-----------------------------------------------------------";
581 (*7>*)fetchProposedTactic 1 (*--> Apply_Method*);
582 (*WN081028 fixed <ERROR> helpless </ERROR> by inform returning ...(.,Met)*)
583 autoCalculate 1 CompleteCalc;
584 val ((pt,p),_) = get_calc 1;
585 val Form res = (#1 o pt_extract) (pt, ([],Res));
587 if p = ([], Res) andalso term2str res = "1 + 2 * x" then ()
588 else error "diff.sml behav.changed for Diff (x^2 + x + 1, x)";
591 "--------- Take as 1st tac, start from exp -----------------------";
592 "--------- Take as 1st tac, start from exp -----------------------";
593 "--------- Take as 1st tac, start from exp -----------------------";
594 (*the following input is copied from BridgeLog Java <==> SML,
595 omitting unnecessary inputs*)
597 (*2>*)CalcTree [(["functionTerm (x^2 + x + 1)", "differentiateFor x", "derivative f_'_f"],("Isac",["derivative_of","function"],["diff","differentiate_on_R"]))];
598 (*3>*)Iterator 1; moveActiveRoot 1;
600 (*6>*)(*completeCalcHead*)autoCalculate 1 CompleteCalcHead;
601 (***difference II***)
602 val ((pt,_),_) = get_calc 1;
603 val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
605 val (SOME istate, NONE) = loc;
606 (*============ inhibit exn AK110725 ==============================================
607 (* ERROR: Argument: istate : istate * Proof.context Reason: Can't unify istate to istate * Proof.context *)
608 print_depth 5; writeln (istate2str istate); print_depth 3;
609 ============ inhibit exn AK110725 ==============================================*)
612 ??.empty, Sundef, false)*)
613 print_depth 5; spec; print_depth 3;
615 ["derivative_of", "function"],
616 ["diff", "differentiate_on_R"]) : spec*)
617 writeln (itms2str_ ctxt probl);
619 (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
620 (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
621 (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
622 writeln (itms2str_ ctxt meth);
624 (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
625 (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
626 (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
627 writeln"-----------------------------------------------------------";
628 (*7>*)fetchProposedTactic 1 (*--> Apply_Method*);
629 autoCalculate 1 (Step 1);
630 val ((pt,p),_) = get_calc 1;
631 val Form res = (#1 o pt_extract) (pt, p);
632 if term2str res = "d_d x (x ^^^ 2 + x + 1)" then ()
633 else error "diff.sml Diff (x^2 + x + 1, x) from exp";
636 "--------- init_form, start with <NEW> (CAS input) ---------------";
637 "--------- init_form, start with <NEW> (CAS input) ---------------";
638 "--------- init_form, start with <NEW> (CAS input) ---------------";
640 CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
641 (*[[from sml: > @@@@@begin@@@@@
643 [[from sml: <CALCTREE>
644 [[from sml: <CALCID> 1 </CALCID>
645 [[from sml: </CALCTREE>
646 [[from sml: @@@@@end@@@@@*)
648 (*[[from sml: > @@@@@begin@@@@@
650 [[from sml: <ADDUSER>
651 [[from sml: <CALCID> 1 </CALCID>
652 [[from sml: <USERID> 1 </USERID>
653 [[from sml: </ADDUSER>
654 [[from sml: @@@@@end@@@@@*)
656 (*[[from sml: > @@@@@begin@@@@@
658 [[from sml: <CALCITERATOR>
659 [[from sml: <CALCID> 1 </CALCID>
660 [[from sml: <POSITION>
661 [[from sml: <INTLIST>
662 [[from sml: </INTLIST>
663 [[from sml: <POS> Pbl </POS>
664 [[from sml: </POSITION>
665 [[from sml: </CALCITERATOR>
666 [[from sml: @@@@@end@@@@@*)
667 getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false;
668 (*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
670 [[from sml: <GETELEMENTSFROMTO>
671 [[from sml: <CALCID> 1 </CALCID>
672 [[from sml: <FORMHEADS>
673 [[from sml: <CALCFORMULA>
674 [[from sml: <POSITION>
675 [[from sml: <INTLIST>
676 [[from sml: </INTLIST>
677 [[from sml: <POS> Pbl </POS>
678 [[from sml: </POSITION>
679 [[from sml: <FORMULA>
681 [[from sml: <ISA> ________________________________________________ </ISA>
682 [[from sml: </MATHML>
684 [[from sml: </FORMULA>
685 [[from sml: </CALCFORMULA>
686 [[from sml: </FORMHEADS>
687 [[from sml: </GETELEMENTSFROMTO>
688 [[from sml: @@@@@end@@@@@*)
689 refFormula 1 ([],Pbl);
690 (*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
692 [[from sml: <REFFORMULA>
693 [[from sml: <CALCID> 1 </CALCID>
694 [[from sml: <CALCHEAD status = "incorrect">
695 [[from sml: <POSITION>
696 [[from sml: <INTLIST>
697 [[from sml: </INTLIST>
698 [[from sml: <POS> Pbl </POS>
699 [[from sml: </POSITION>
702 [[from sml: <ISA> Problem (e_domID, [e_pblID]) </ISA>
703 [[from sml: </MATHML>
706 [[from sml: <GIVEN> </GIVEN>
707 [[from sml: <WHERE> </WHERE>
708 [[from sml: <FIND> </FIND>
709 [[from sml: <RELATE> </RELATE>
711 [[from sml: <BELONGSTO> Pbl </BELONGSTO>
712 [[from sml: <SPECIFICATION>
713 [[from sml: <THEORYID> e_domID </THEORYID>
714 [[from sml: <PROBLEMID>
715 [[from sml: <STRINGLIST>
716 [[from sml: <STRING> e_pblID </STRING>
717 [[from sml: </STRINGLIST>
718 [[from sml: </PROBLEMID>
719 [[from sml: <METHODID>
720 [[from sml: <STRINGLIST>
721 [[from sml: <STRING> e_metID </STRING>
722 [[from sml: </STRINGLIST>
723 [[from sml: </METHODID>
724 [[from sml: </SPECIFICATION>
725 [[from sml: </CALCHEAD>
726 [[from sml: </REFFORMULA>
727 [[from sml: @@@@@end@@@@@*)
728 moveActiveFormula 1 ([],Pbl);
729 (*[[from sml: > @@@@@begin@@@@@
731 [[from sml: <CALCITERATOR>
732 [[from sml: <CALCID> 1 </CALCID>
733 [[from sml: <POSITION>
734 [[from sml: <INTLIST>
735 [[from sml: </INTLIST>
736 [[from sml: <POS> Pbl </POS>
737 [[from sml: </POSITION>
738 [[from sml: </CALCITERATOR>
739 [[from sml: @@@@@end@@@@@*)
740 replaceFormula 1 "Simplify (1+2)";
741 (*[[from sml: > @@@@@begin@@@@@
743 [[from sml: <REPLACEFORMULA>
744 [[from sml: <CALCID> 1 </CALCID>
745 [[from sml: <CALCCHANGED>
746 [[from sml: <UNCHANGED>
747 [[from sml: <INTLIST>
748 [[from sml: </INTLIST>
749 [[from sml: <POS> Pbl </POS>
750 [[from sml: </UNCHANGED>
751 [[from sml: <DELETED>
752 [[from sml: <INTLIST>
753 [[from sml: </INTLIST>
754 [[from sml: <POS> Pbl </POS>
755 [[from sml: </DELETED>
756 [[from sml: <GENERATED>
757 [[from sml: <INTLIST>
758 [[from sml: </INTLIST>
759 [[from sml: <POS> Met </POS> DIFFERENCE: Pbl
760 [[from sml: </GENERATED>
761 [[from sml: </CALCCHANGED>
762 [[from sml: </REPLACEFORMULA>
763 [[from sml: @@@@@end@@@@@*)
764 getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false(* DIFFERENCE: Pbl*);
778 <ISA> Simplify (1 + 2) </ISA> WORKS !!!!!
785 getFormulaeFromTo 1 ([],Pbl) ([],Met) 0 false;
786 (*[[from sml: > @@@@@begin@@@@@
788 [[from sml: <SYSERROR>
789 [[from sml: <CALCID> 1 </CALCID>
790 [[from sml: <ERROR> error in getFormulaeFromTo </ERROR>
791 [[from sml: </SYSERROR>
792 [[from sml: @@@@@end@@@@@*)
793 (*step into getFormulaeFromTo --- bug corrected...*)
795 "--------- build fun check_err_patt ------------------------------";
796 "--------- build fun check_err_patt ------------------------------";
797 "--------- build fun check_err_patt ------------------------------";
798 val subst = [(str2term "bdv", str2term "x")]: subst;
799 val rls = norm_Rational
800 val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
801 val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
802 val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "1 / 2");
804 val (res', _, _, rewritten) = (*rewritten: the lhs of the pattern matches in res*)
805 rew_sub thy 1 [] e_rew_ord e_rls false [] (Trueprop $ pat) res;
806 if rewritten then NONE else SOME "e_errpatID";
808 val norm_res = case rewrite_set_ (Isac()) false rls res' of
810 | SOME (norm_res, _) => norm_res
812 val norm_inf = case rewrite_set_ (Isac()) false rls inf of
814 | SOME (norm_inf, _) => norm_inf;
819 val pat = parse_patt @{theory} "(?a + ?b)/?a = ?b";
820 val (res, inf) = (str2term "(2 + 3)/2", str2term "3");
821 if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
822 then () else error "error patt example1 changed";
824 val pat = parse_patt @{theory} "(?a + ?b)/(?a + ?c) = ?b / ?c";
825 val (res, inf) = (str2term "(2 + 3)/(2 + 4)", str2term "3 / 4");
826 if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
827 then () else error "error patt example2 changed";
829 val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
830 val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
831 if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
832 then () else error "error patt example3 changed";
834 val inf = str2term "1 / 2";
835 if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
836 then () else error "error patt example3 changed";
838 "--------- build fun check_err_patt ?bdv -------------------------";
839 "--------- build fun check_err_patt ?bdv -------------------------";
840 "--------- build fun check_err_patt ?bdv -------------------------";
841 val subst = [(str2term "bdv", str2term "x")]: subst;
842 val t = str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))";
843 val SOME (t, _) = rewrite_set_inst_ thy false subst norm_diff t;
844 if term2str t = "2 * x + cos (x ^^^ 4) * 4 * x ^^^ 3" then ()
845 else error "build fun check_err_patt ?bdv changed 1";
848 val pat = parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)";
849 val (res, inf) = (str2term "2 * x + d_d x (sin (x ^^^ 4))", str2term "2 * x + cos (4 * x ^^^ 3)");
851 val (res', _, _, rewritten) = (*rewritten: the lhs of the pattern matches in res*)
852 rew_sub thy 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) res;
853 if term2str res' = "2 * x + cos (d_d x (x ^^^ 4))" andalso rewritten then ()
854 else error "build fun check_err_patt ?bdv changed 2";
856 val norm_res = case rewrite_set_inst_ (Isac()) false subst rls res' of
858 | SOME (norm_res, _) => norm_res;
859 if term2str norm_res = "2 * x + cos (4 * x ^^^ 3)" then ()
860 else error "build fun check_err_patt ?bdv changed 3";
862 val norm_inf = case rewrite_set_inst_ (Isac()) false subst rls inf of
864 | SOME (norm_inf, _) => norm_inf;
865 if term2str norm_inf = "2 * x + cos (4 * x ^^^ 3)" then ()
866 else error "build fun check_err_patt ?bdv changed 4";
869 if norm_res = norm_inf then ()
870 else error "build fun check_err_patt ?bdv changed 5";
872 if check_err_patt (res, inf) (subst: subst) ("errpatID": errpatID, pat) rls = SOME "errpatID"
873 then () else error "error patt example1 changed";
875 "--------- build fun check_error_patterns ------------------------";
876 "--------- build fun check_error_patterns ------------------------";
877 "--------- build fun check_error_patterns ------------------------";
879 (str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))",
880 str2term "d_d x (x ^^^ 2) + cos (4 * x ^^^ 3)");
881 val {errpats, nrls = rls, scr = Script prog, ...} = get_met ["diff", "differentiate_on_R"]
883 val env = [(str2term "v_v", str2term "x")];
885 [e_errpat, (*generalised for testing*)
886 ("chain-rule-diff-both",
887 [parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)",
888 parse_patt @{theory} "d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)",
889 parse_patt @{theory} "d_d ?bdv (?u ^^^ ?n) = ?n * ?u ^^^ (?n - 1)",
890 parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / ?u",
891 parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u"],
892 [@{thm diff_sin_chain}, @{thm diff_cos_chain}, @{thm diff_pow_chain},
893 @{thm diff_ln_chain}, @{thm diff_exp_chain}])]: errpat list;
895 case check_error_patterns (res, inf) (prog, env) (errpats, rls) of SOME _ => ()
896 | NONE => error "check_error_patterns broken";
899 "--------- embed fun check_error_patterns ------------------------";
900 "--------- embed fun check_error_patterns ------------------------";
901 "--------- embed fun check_error_patterns ------------------------";
904 [(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
905 ("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
908 autoCalculate 1 CompleteCalcHead;
909 autoCalculate 1 (Step 1);
910 autoCalculate 1 (Step 1);(*([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))*)
911 (*autoCalculate 1 (Step 1);([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)*)
913 "~~~~~ fun appendFormula, args:"; val (cI, (ifo:cterm')) = (1, "d_d x (x ^ 2) + cos (4 * x ^ 3)");
915 val pos as (_,p_) = get_pos cI 1; (*pos = ([1], Res)*)
920 val (_, _, (pt, ([2], Res))) = cs';
922 [(([], Frm), Diff (x ^^^ 2 + sin (x ^^^ 4), x)),
923 (([1], Frm), d_d x (x ^^^ 2 + sin (x ^^^ 4))),
924 (([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))), <<=== input follos: "...+ cos(4.x^3)"
925 (([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4))] *)
927 "~~~~~ fun inform, args:"; val ((cs as (_, _, ptp as (pt, pos as (p, p_))): calcstate'), istr) =
929 val SOME f_in = parse (assoc_thy "Isac") istr
930 val f_in = term_of f_in
931 val pos_pred = lev_back' pos
932 (* f_pred ---"step pos cs"---> f_succ in appendFormula
933 TODO.WN120517: one starting point for redesign of pos' *)
934 val (f_pred, f_succ) = (get_pred_formula (pt, pos_pred), get_pred_formula (pt, pos));
936 term2str f_pred = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))";
937 term2str f_succ = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)";
939 f_succ = f_in; (* = false*)
940 cas_input f_in; (* = NONE*)
941 val msg_calcstate' = compare_step ([], [], (pt, pos_pred)) f_in
942 val ("no derivation found", calcstate') = msg_calcstate';
943 val pp = par_pblobj pt p
944 val {errpats, nrls, scr = Script prog, ...} = get_met (get_obj g_metID pt pp)
945 val ScrState (env, _, _, _, _, _) = get_istate pt pos;
946 case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
947 SOME errpatID => ("error pattern #" ^ errpatID ^ "#", calcstate')
948 | NONE => msg_calcstate';
950 "~~~~~ from inform return val:"; val () = ();
951 case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
953 | NONE => error "check_error_patterns broken";
956 case inform cs' (encode ifo) of
957 ("error pattern #chain-rule-diff-both#", calcstate') => ()
958 | _ => error "inform with (positive) check_error_patterns broken"
960 "--------- embed fun find_fillpatterns ---------------------------";
961 "--------- embed fun find_fillpatterns ---------------------------";
962 "--------- embed fun find_fillpatterns ---------------------------";
965 [(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
966 ("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
969 autoCalculate 1 CompleteCalcHead;
970 autoCalculate 1 (Step 1);
971 autoCalculate 1 (Step 1);(*([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))*)
972 appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)";
973 (*<CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>*)
974 (*TODO BACK TO <CALCMESSAGE> no derivation found </CALCMESSAGE>*)
976 "~~~~~ fun FindFillpatterns, args:"; val (cI, errpatID) = (1, "chain-rule-diff-both");
977 val ((pt, _), _) = get_calc cI
978 val pos = get_pos cI 1;
979 "~~~~~ fun find_fillpatterns, args:"; val ((pt, pos as (p, _)), errpatID) = ((pt, pos), errpatID);
980 val f_curr = get_pred_formula (pt, pos); (* = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"*)
981 val pp = par_pblobj pt p
982 val {errpats, scr = Script prog, ...} = get_met (get_obj g_metID pt pp)
983 val ScrState (env, _, _, _, _, _) = get_istate pt pos
984 val subst = get_bdv_subst prog env
985 val errpatthms = errpats
986 |> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
987 |> map (#3: errpat -> thm list)
990 case map (get_fillpats subst f_curr errpatID) errpatthms |> flat of
992 "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1")
994 | _ => error "find_fillpatterns changed"
996 "~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
997 (subst, f_curr, errpatID, hd errpatthms);
998 val thmDeriv = Thm.get_name_hint thm
999 val (part, thyID) = thy_containing_thm thmDeriv
1000 val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
1001 val Hthm {fillpats, ...} = get_the theID
1002 val some = map (get_fillform subst form errpatID) fillpats;
1004 case some |> filter is_some |> map the of
1006 "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1")
1008 | _ => error "get_fillpats changed"