wneuper/isa: test/Tools/isac/Interpret/inform.sml@7d3dbc1171ff (annotated)

akargl@42176	1	(* Title: tests on inform.sml
akargl@42176	2	Author: Walther Neuper 060225,
neuper@37906	3	(c) due to copyright terms
neuper@37906	4
neuper@37906	5	use"../smltest/ME/inform.sml";
neuper@37906	6	use"inform.sml";
neuper@37906	7	*)
neuper@37906	8
neuper@37906	9	"-----------------------------------------------------------------";
neuper@37906	10	"table of contents -----------------------------------------------";
neuper@37906	11	"-----------------------------------------------------------------";
neuper@37906	12	"appendForm with miniscript with mini-subpbl:";
neuper@37906	13	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	14	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	15	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	16	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	17	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	18	"replaceForm with miniscript with mini-subpbl:";
neuper@37906	19	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	20	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	21	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	22	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	23	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	24	(* 040307 copied from informtest.sml ... old versions
neuper@37906	25	"--------- maximum-example, UC: Modeling / modifyCalcHead --------";*)
neuper@37906	26	"--------- syntax error ------------------------------------------";
neuper@37906	27	"CAS-command:";
neuper@37906	28	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	29	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	30	"--------- inform [rational,simplification] ----------------------";
neuper@37906	31	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	32	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	33	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@42423	34	"--------- build fun check_err_patt ------------------------------";
neuper@42426	35	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42428	36	"--------- build fun check_error_patterns ------------------------";
neuper@42428	37	"--------- embed fun check_error_patterns ------------------------";
neuper@48895	38	"--------- build fun get_fillpats --------------------------------";
neuper@42430	39	"--------- embed fun find_fillpatterns ---------------------------";
neuper@48895	40	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@37906	41	"-----------------------------------------------------------------";
neuper@37906	42	"-----------------------------------------------------------------";
neuper@37906	43	"-----------------------------------------------------------------";
neuper@37906	44
neuper@37906	45
neuper@37906	46	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	47	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	48	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@48790	49	val Prog sc = (#scr o get_met) ["Test","squ-equ-test-subpbl1"];
neuper@37906	50	(writeln o term2str) sc;
neuper@48790	51	val Prog sc = (#scr o get_met) ["Test","solve_linear"];
neuper@37906	52	(writeln o term2str) sc;
neuper@37906	53
s1210629013@55445	54	reset_states ();
neuper@41970	55	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	56	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	57	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	58	Iterator 1; moveActiveRoot 1;
wneuper@59248	59	autoCalculate 1 CompleteCalcHead;
wneuper@59248	60	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	61	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	62
wneuper@59123	63	appendFormula 1 "-2 * 1 + (1 + x) = 0" (\|> Future.join); refFormula 1 (get_pos 1 1);
neuper@37906	64	val ((pt,_),_) = get_calc 1;
neuper@37906	65	val str = pr_ptree pr_short pt;
neuper@48895	66	if str =
neuper@48895	67	(". ----- pblobj -----\n" ^
neuper@48895	68	"1. x + 1 = 2\n" ^
neuper@48895	69	"2. x + 1 + -1 * 2 = 0\n" ^
neuper@48895	70	"2.1. x + 1 + -1 * 2 = 0\n" ^
neuper@48895	71	"2.2. 1 + x + -1 * 2 = 0\n" ^
neuper@48895	72	"2.3. 1 + (x + -1 * 2) = 0\n" ^
neuper@48895	73	"2.4. 1 + (x + -2) = 0\n" ^
neuper@48895	74	"2.5. 1 + (x + -2 * 1) = 0\n" ^
neuper@48895	75	"2.6. 1 + x + -2 * 1 = 0\n" ) then ()
neuper@48895	76	else error "inform.sml: diff.behav.appendFormula: on Res + equ 1";
neuper@37906	77
neuper@37906	78	moveDown 1 ([ ],Pbl); refFormula 1 ([1],Frm); (x + 1 = 2)
neuper@37906	79	moveDown 1 ([1],Frm); refFormula 1 ([1],Res); (x + 1 + -1 2 = 0*)
neuper@37906	80
neuper@37906	81	(the seven steps of detailed derivation)
neuper@37906	82	moveDown 1 ([1 ],Res); refFormula 1 ([2,1],Frm);
neuper@37906	83	moveDown 1 ([2,1],Frm); refFormula 1 ([2,1],Res);
neuper@37906	84	moveDown 1 ([2,1],Res); refFormula 1 ([2,2],Res);
neuper@37906	85	moveDown 1 ([2,2],Res); refFormula 1 ([2,3],Res);
neuper@37906	86	moveDown 1 ([2,3],Res); refFormula 1 ([2,4],Res);
neuper@37906	87	moveDown 1 ([2,4],Res); refFormula 1 ([2,5],Res);
neuper@37906	88	moveDown 1 ([2,5],Res); refFormula 1 ([2,6],Res);
neuper@37906	89	val ((pt,_),_) = get_calc 1;
neuper@37906	90	if "-2 * 1 + (1 + x) = 0" = term2str (fst (get_obj g_result pt [2,6])) then()
neuper@38031	91	else error "inform.sml: diff.behav.appendFormula: on Res + equ 2";
neuper@37906	92
neuper@37906	93	fetchProposedTactic 1; (takes Iterator 1 _1_)
neuper@48895	94	(* <ERROR> error in kernel </ERROR> ALREADY IN 2009-2*)
neuper@48895	95	(*========== inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 =============
neuper@37906	96	val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906	97	if tac = Rewrite_Set "Test_simplify" then ()
neuper@38031	98	else error "inform.sml: diff.behav.appendFormula: on Res + equ 3";
neuper@48895	99	============ inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 ============*)
akargl@42209	100
wneuper@59248	101	autoCalculate 1 CompleteCalc;
neuper@37906	102	val ((pt,_),_) = get_calc 1;
neuper@37906	103	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	104	else error "inform.sml: diff.behav.appendFormula: on Res + equ 4";
wneuper@59248	105	(* autoCalculate 1 CompleteCalc;
neuper@37906	106	val ((pt,p),_) = get_calc 1;
neuper@37906	107	(writeln o istates2str) (get_obj g_loc pt [ ]);
neuper@37906	108	(writeln o istates2str) (get_obj g_loc pt [1]);
neuper@37906	109	(writeln o istates2str) (get_obj g_loc pt [2]);
neuper@37906	110	(writeln o istates2str) (get_obj g_loc pt [3]);
neuper@37906	111	(writeln o istates2str) (get_obj g_loc pt [3,1]);
neuper@37906	112	(writeln o istates2str) (get_obj g_loc pt [3,2]);
neuper@37906	113	(writeln o istates2str) (get_obj g_loc pt [4]);
neuper@37906	114
neuper@37906	115	*)
neuper@37906	116	"----------------------------------------------------------";
akargl@42176	117
akargl@42176	118	val fod = make_deriv (@{theory "Isac"}) Atools_erls
neuper@37906	119	((#rules o rep_rls) Test_simplify)
akargl@42176	120	(sqrt_right false (@{theory "Pure"})) NONE
neuper@37906	121	(str2term "x + 1 + -1 * 2 = 0");
neuper@37906	122	(writeln o trtas2str) fod;
neuper@37906	123
akargl@42176	124	val ifod = make_deriv (@{theory "Isac"}) Atools_erls
neuper@37906	125	((#rules o rep_rls) Test_simplify)
akargl@42176	126	(sqrt_right false (@{theory "Pure"})) NONE
neuper@37906	127	(str2term "-2 * 1 + (1 + x) = 0");
neuper@37906	128	(writeln o trtas2str) ifod;
akargl@42176	129	fun equal (_,_,(t1, _)) (_,_,(t2, _)) = t1 = t2;
neuper@37906	130	val (fod', rifod') = dropwhile' equal (rev fod) (rev ifod);
neuper@37906	131	val der = fod' @ (map rev_deriv' rifod');
neuper@37906	132	(writeln o trtas2str) der;
neuper@37906	133	"----------------------------------------------------------";
wneuper@59252	134	DEconstrCalcTree 1;
neuper@37906	135
neuper@37906	136	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	137	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	138	"--------- appendFormula: on Frm + equ_nrls ----------------------";
s1210629013@55445	139	reset_states ();
neuper@41970	140	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	141	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	142	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	143	Iterator 1; moveActiveRoot 1;
wneuper@59248	144	autoCalculate 1 CompleteCalcHead;
wneuper@59248	145	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (x + 1 = 2);
wneuper@59123	146	appendFormula 1 "2+ -1 + x = 2" (\|> Future.join); refFormula 1 (get_pos 1 1);
neuper@37906	147
neuper@37906	148	moveDown 1 ([],Pbl); refFormula 1 ([1],Frm) (x + 1 = 2);
neuper@37906	149
neuper@37906	150	moveDown 1 ([1 ],Frm); refFormula 1 ([1,1],Frm);
neuper@37906	151	moveDown 1 ([1,1],Frm); refFormula 1 ([1,1],Res);
neuper@37906	152	moveDown 1 ([1,1],Res); refFormula 1 ([1,2],Res);
neuper@37906	153	moveDown 1 ([1,2],Res); refFormula 1 ([1,3],Res);
neuper@37906	154	moveDown 1 ([1,3],Res); refFormula 1 ([1,4],Res);
neuper@37906	155	moveDown 1 ([1,4],Res); refFormula 1 ([1,5],Res);
neuper@37906	156	moveDown 1 ([1,5],Res); refFormula 1 ([1,6],Res);
neuper@37906	157	val ((pt,_),_) = get_calc 1;
neuper@37906	158	if "2 + -1 + x = 2" = term2str (fst (get_obj g_result pt [1,6])) then()
neuper@38031	159	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 1";
neuper@37906	160
neuper@37906	161	fetchProposedTactic 1; (takes Iterator 1 _1_)
neuper@37906	162	val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906	163	if tac = Rewrite_Set "norm_equation" then ()
neuper@38031	164	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 2";
wneuper@59248	165	autoCalculate 1 CompleteCalc;
neuper@37906	166	val ((pt,_),_) = get_calc 1;
neuper@37906	167	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	168	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
wneuper@59252	169	DEconstrCalcTree 1;
neuper@37906	170
neuper@37906	171	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	172	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	173	"--------- appendFormula: on Res + NO deriv ----------------------";
s1210629013@55445	174	reset_states ();
neuper@41970	175	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	176	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	177	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	178	Iterator 1; moveActiveRoot 1;
wneuper@59248	179	autoCalculate 1 CompleteCalcHead;
wneuper@59248	180	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	181	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	182
wneuper@59123	183	appendFormula 1 "x = 2" (\|> Future.join);
neuper@37906	184	val ((pt,p),_) = get_calc 1;
neuper@37906	185	val str = pr_ptree pr_short pt;
neuper@37906	186	writeln str;
neuper@37906	187	if str = ". ----- pblobj -----\n1. x + 1 = 2\n" andalso p = ([1], Res)
neuper@37906	188	then ()
neuper@38031	189	else error "inform.sml: diff.behav.appendFormula: Res + NOder 1";
neuper@37906	190
neuper@37906	191	fetchProposedTactic 1;
neuper@37906	192	val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906	193	if tac = Rewrite_Set "Test_simplify" then ()
neuper@38031	194	else error "inform.sml: diff.behav.appendFormula: Res + NOder 2";
wneuper@59248	195	autoCalculate 1 CompleteCalc;
neuper@37906	196	val ((pt,_),_) = get_calc 1;
neuper@37906	197	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	198	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
wneuper@59252	199	DEconstrCalcTree 1;
neuper@37906	200
neuper@37906	201	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	202	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	203	"--------- appendFormula: on Res + late deriv --------------------";
s1210629013@55445	204	reset_states ();
neuper@41970	205	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	206	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	207	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	208	Iterator 1; moveActiveRoot 1;
wneuper@59248	209	autoCalculate 1 CompleteCalcHead;
wneuper@59248	210	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	211	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	212
wneuper@59123	213	appendFormula 1 "x = 1" (\|> Future.join);
neuper@37906	214	val ((pt,p),_) = get_calc 1;
neuper@37906	215	val str = pr_ptree pr_short pt;
neuper@37906	216	writeln str;
neuper@37906	217	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)
neuper@37906	218	then () (finds 1 step too early: ([3,2], Res) "x = 1" also by script !!!)
neuper@38031	219	else error "inform.sml: diff.behav.appendFormula: Res + late d 1";
akargl@42176	220
neuper@37906	221	fetchProposedTactic 1;
neuper@37906	222	val (_,(tac,_,_)::_) = get_calc 1;
neuper@55279	223	if tac = Check_Postcond ["LINEAR", "univariate", "equation", "test"] then ()
neuper@38031	224	else error "inform.sml: diff.behav.appendFormula: Res + late d 2";
wneuper@59248	225	autoCalculate 1 CompleteCalc;
neuper@37906	226	val ((pt,_),_) = get_calc 1;
neuper@37906	227	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	228	else error "inform.sml: diff.behav.appendFormula: Res + late d 3";
wneuper@59252	229	DEconstrCalcTree 1;
neuper@37906	230
neuper@37906	231	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	232	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	233	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
s1210629013@55445	234	reset_states ();
neuper@41970	235	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	236	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	237	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	238	Iterator 1; moveActiveRoot 1;
wneuper@59248	239	autoCalculate 1 CompleteCalcHead;
wneuper@59248	240	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	241	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
wneuper@59123	242	appendFormula 1 "[x = 3 + -21]" (\|> Future.join*);
neuper@37906	243	val ((pt,p),_) = get_calc 1;
neuper@37906	244	val str = pr_ptree pr_short pt;
neuper@37906	245	writeln str;
neuper@37906	246	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 ()
neuper@38031	247	else error "inform.sml: diff.behav.appendFormula: Res + latEE 1";
wneuper@59248	248	autoCalculate 1 CompleteCalc;
neuper@37906	249	val ((pt,p),_) = get_calc 1;
neuper@37906	250	if "[x = 3 + -2 * 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@37906	251	(* ~~~~~~~~~~ simplify as last step in any script ?!*)
neuper@38031	252	else error "inform.sml: diff.behav.appendFormula: Res + latEE 2";
wneuper@59252	253	DEconstrCalcTree 1;
neuper@37906	254
neuper@37906	255	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	256	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	257	"--------- replaceFormula: on Res + = ----------------------------";
s1210629013@55445	258	reset_states ();
neuper@41970	259	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	260	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	261	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	262	Iterator 1; moveActiveRoot 1;
wneuper@59248	263	autoCalculate 1 CompleteCalcHead;
wneuper@59248	264	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	265	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
wneuper@59248	266	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(-1 + x);
neuper@37906	267
neuper@37906	268	replaceFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
neuper@37906	269	val ((pt,_),_) = get_calc 1;
neuper@37906	270	val str = pr_ptree pr_short pt;
akargl@42176	271
neuper@48895	272	(* before AK110725 this was
neuper@48895	273	". ----- pblobj -----\n
neuper@48895	274	1. x + 1 = 2\n
neuper@48895	275	2. x + 1 + -1 * 2 = 0\n
neuper@48895	276	2.1. x + 1 + -1 * 2 = 0\n
neuper@48895	277	2.2. 1 + x + -1 * 2 = 0\n
neuper@48895	278	2.3. 1 + (x + -1 * 2) = 0\n
neuper@48895	279	2.4. 1 + (x + -2) = 0\n
neuper@48895	280	2.5. 1 + (x + -2 * 1) = 0\n
neuper@48895	281	2.6. 1 + x + -2 * 1 = 0\n";
neuper@48895	282	*)
neuper@48895	283	if str =
neuper@48895	284	". ----- pblobj -----\n"^
neuper@48895	285	"1. x + 1 = 2\n"^
neuper@48895	286	"2. x + 1 + -1 * 2 = 0\n"^
neuper@48895	287	"2.1. x + 1 + -1 * 2 = 0\n"^
neuper@48895	288	"2.2. 1 + x + -1 * 2 = 0\n"^
neuper@48895	289	"2.3. 1 + (x + -1 * 2) = 0\n"^
neuper@48895	290	"2.4. 1 + (x + -2) = 0\n"^
neuper@48895	291	"2.5. 1 + (x + -2 * 1) = 0\n"^
neuper@48895	292	"2.6. 1 + x + -2 * 1 = 0\n" then()
neuper@48895	293	else error "inform.sml: diff.behav.replaceFormula: on Res += 1";
akargl@42176	294
wneuper@59248	295	autoCalculate 1 CompleteCalc;
akargl@42176	296	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	297	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst) (get_obj g_result pt p) then()
neuper@38031	298	else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
wneuper@59252	299	DEconstrCalcTree 1;
neuper@37906	300
neuper@37906	301	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	302	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	303	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
s1210629013@55445	304	reset_states ();
neuper@41970	305	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	306	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	307	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	308	Iterator 1; moveActiveRoot 1;
wneuper@59248	309	autoCalculate 1 CompleteCalcHead;
wneuper@59248	310	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	311	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	312
neuper@37906	313	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	314	val ((pt,_),_) = get_calc 1;
neuper@37906	315	val str = pr_ptree pr_short pt;
neuper@37906	316	writeln str;
akargl@42176	317	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 ()
neuper@38031	318	else error "inform.sml: diff.behav.replaceFormula: on Res 1 + = 1";
wneuper@59248	319	autoCalculate 1 CompleteCalc;
akargl@42176	320	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	321	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031	322	else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
wneuper@59252	323	DEconstrCalcTree 1;
neuper@37906	324
neuper@37906	325	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	326	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	327	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
s1210629013@55445	328	reset_states ();
neuper@41970	329	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	330	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	331	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	332	Iterator 1; moveActiveRoot 1;
wneuper@59248	333	autoCalculate 1 CompleteCalcHead;
wneuper@59248	334	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
neuper@37906	335
neuper@37906	336	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	337	val ((pt,_),_) = get_calc 1;
neuper@37906	338	val str = pr_ptree pr_short pt;
neuper@37906	339	writeln str;
akargl@42176	340	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 ()
neuper@38031	341	else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 1";
wneuper@59248	342	autoCalculate 1 CompleteCalc;
akargl@42176	343	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	344	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031	345	else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 2";
wneuper@59252	346	DEconstrCalcTree 1;
neuper@37906	347
neuper@37906	348	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	349	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	350	"--------- replaceFormula: cut calculation -----------------------";
s1210629013@55445	351	reset_states ();
neuper@41970	352	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	353	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	354	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	355	Iterator 1; moveActiveRoot 1;
wneuper@59248	356	autoCalculate 1 CompleteCalc;
neuper@37906	357	moveActiveRoot 1; moveActiveDown 1;
neuper@37906	358	if get_pos 1 1 = ([1], Frm) then ()
neuper@38031	359	else error "inform.sml: diff.behav. cut calculation 1";
neuper@37906	360
neuper@37906	361	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	362	val ((pt,p),_) = get_calc 1;
neuper@37906	363	val str = pr_ptree pr_short pt;
neuper@37906	364	writeln str;
neuper@37906	365	if p = ([1], Res) then ()
neuper@38031	366	else error "inform.sml: diff.behav. cut calculation 2";
neuper@37906	367
neuper@37906	368
neuper@37906	369	(* 040307 copied from informtest.sml; ... old version
neuper@37906	370	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	371	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	372	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	373
neuper@37906	374	val p = ([],Pbl);
neuper@37906	375	val elems = ["fixedValues [r=Arbfix]","maximum A","valuesFor [a,b]",
neuper@37906	376	"relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906	377	"relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906	378	"relations [A=ab, a/2=rsin alpha, b/2=r*cos alpha]",
neuper@37906	379	(^^^ these are the elements for the root-problem (in variants))
neuper@37906	380	(vvv these are elements required for subproblems)
neuper@37906	381	"boundVariable a","boundVariable b","boundVariable alpha",
neuper@37906	382	"interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906	383	"interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906	384	"interval {x::real. 0 <= x & x <= pi}",
neuper@37906	385	"errorBound (eps=(0::real))"]
neuper@37906	386	(specifying is not interesting for this example)
neuper@38058	387	val spec = ("DiffApp", ["maximum_of","function"],
neuper@37906	388	["DiffApp","max_by_calculus"]);
neuper@37906	389	(the empty model with descriptions for user-guidance by Model_Problem)
neuper@37906	390	val empty_model = [Given ["fixedValues []"],
neuper@37906	391	Find ["maximum", "valuesFor"],
neuper@37906	392	Relate ["relations []"]];
neuper@37906	393
neuper@37906	394
neuper@37906	395	(!!!!!!!!!!!!!!!!! DON'T USE me FOR FINDING nxt !!!!!!!!!!!!!!!!!!)
neuper@37906	396	val (p,_,f,nxt,_,pt) = CalcTreeTEST [(elems, spec)];
neuper@37906	397	(val nxt = ("Model_Problem", ...)
neuper@37924	398	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	399
neuper@37906	400	val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906	401	(nxt = Add_Given "fixedValues [r = Arbfix]")
neuper@37924	402	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	403	(*[
neuper@37906	404	(0 ,[] ,false ,#Given ,Inc fixedValues [] ,(??.empty, [])),
neuper@37906	405	(0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),
neuper@37906	406	(0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),
neuper@37906	407	(0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))]*)
neuper@37906	408
neuper@37906	409	(the empty CalcHead is checked w.r.t the model and re-established as such)
neuper@37906	410	val (b,pt,ocalhd) = input_icalhd pt (p,"", empty_model, Pbl, e_spec);
neuper@37924	411	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@38031	412	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";
neuper@37906	413
neuper@37906	414	(there is one input to the model (could be more))
neuper@37906	415	val (b,pt,ocalhd) =
neuper@37906	416	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	417	Find ["maximum", "valuesFor"],
neuper@37906	418	Relate ["relations"]], Pbl, e_spec);
neuper@37924	419	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	420	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 ()
neuper@38031	421	else error "informtest.sml: diff.behav. max 2";
neuper@37906	422
neuper@37906	423	(*this input is complete in variant 3, but the ME doesn't recognize FIXXXXME
neuper@37906	424	val (b,pt''''',ocalhd) =
neuper@37906	425	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	426	Find ["maximum A", "valuesFor [a,b]"],
neuper@37906	427	Relate ["relations [A=ab, a/2=rsin alpha, \
neuper@37906	428	\b/2=r*cos alpha]"]], Pbl, e_spec);
neuper@37924	429	val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	430	if ocalhd2str ocalhd = ------------^^^^^^^^^^ missing !!!*)
neuper@37906	431
neuper@37906	432	(this input is complete in variant 1 (variant 3 does not work yet))
neuper@37906	433	val (b,pt''''',ocalhd) =
neuper@37906	434	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	435	Find ["maximum A", "valuesFor [a,b]"],
neuper@37906	436	Relate ["relations [A=a*b, \
neuper@37906	437	\(a/2)^^^2 + (b/2)^^^2 = r^^^2]"]],
neuper@37906	438	Pbl, e_spec);
neuper@37924	439	val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	440
neuper@37906	441	modifycalcheadOK2xml 111 (bool2str b) ocalhd;
neuper@37906	442	*)
wneuper@59252	443	DEconstrCalcTree 1;
neuper@37906	444
neuper@37906	445	"--------- syntax error ------------------------------------------";
neuper@37906	446	"--------- syntax error ------------------------------------------";
neuper@37906	447	"--------- syntax error ------------------------------------------";
s1210629013@55445	448	reset_states ();
neuper@41970	449	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	450	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	451	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	452	Iterator 1; moveActiveRoot 1;
wneuper@59248	453	autoCalculate 1 CompleteCalcHead;
wneuper@59248	454	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	455	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	456
neuper@37906	457	appendFormula 1 " x - "; (<ERROR> syntax error in ' x - ' </ERROR>)
neuper@37906	458	val ((pt,_),_) = get_calc 1;
neuper@37906	459	val str = pr_ptree pr_short pt;
neuper@37906	460	writeln str;
neuper@37906	461	if str = ". ----- pblobj -----\n1. x + 1 = 2\n" then ()
neuper@38031	462	else error "inform.sml: diff.behav.appendFormula: syntax error";
wneuper@59252	463	DEconstrCalcTree 1;
neuper@37906	464
neuper@37906	465	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	466	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	467	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	468	val (p,_,f,nxt,_,pt) =
neuper@37906	469	CalcTreeTEST [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	470	val ifo = "solve(x+1=2,x)";
neuper@37906	471	val (_,(_,c,(pt,p))) = inform ([],[],(pt,p)) "solve(x+1=2,x)";
neuper@37906	472	show_pt pt;
neuper@37906	473	val nxt = ("Apply_Method",Apply_Method ["Test","squ-equ-test-subpbl1"]);
neuper@37906	474	val (p,_,f,nxt,_,pt) = me nxt p [] pt;
neuper@37906	475	if p = ([1], Frm) andalso f2str f = "x + 1 = 2" then ()
neuper@38031	476	else error "inform.sml: diff.behav. CAScmd ([],Pbl)";
wneuper@59252	477	DEconstrCalcTree 1;
neuper@37906	478
neuper@37906	479	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	480	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	481	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
s1210629013@55445	482	reset_states ();
neuper@37906	483	CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	484	Iterator 1;
neuper@37906	485	moveActiveRoot 1;
neuper@37906	486	replaceFormula 1 "solve(x+1=2,x)";
wneuper@59248	487	autoCalculate 1 CompleteCalc;
neuper@37906	488	val ((pt,p),_) = get_calc 1;
neuper@37906	489	show_pt pt;
neuper@37906	490	if p = ([], Res) then ()
neuper@38031	491	else error "inform.sml: diff.behav. CAScmd ([],Pbl) FE-interface";
wneuper@59252	492	DEconstrCalcTree 1;
neuper@37906	493
neuper@37906	494	"--------- inform [rational,simplification] ----------------------";
neuper@37906	495	"--------- inform [rational,simplification] ----------------------";
neuper@37906	496	"--------- inform [rational,simplification] ----------------------";
s1210629013@55445	497	reset_states ();
neuper@52105	498	CalcTree [(["Term (a * x / (b * x) + c * x / (d * x) + e / f)", "normalform N"],
neuper@52105	499	("Rational", ["rational", "simplification"], ["simplification", "of_rationals"]))];
neuper@37906	500	Iterator 1; moveActiveRoot 1;
wneuper@59248	501	autoCalculate 1 CompleteCalcHead;
neuper@52105	502
neuper@52105	503	"--- (-1) give a preview on the calculation without any input";
neuper@52105	504	(*
wneuper@59248	505	autoCalculate 1 CompleteCalc;
neuper@52105	506	val ((pt, p), _) = get_calc 1;
neuper@52105	507	show_pt pt;
neuper@52105	508	[
neuper@52105	509	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	510	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	511	(([1], Res), a / b + c / d + e / f), <--- (1) input arbitrary
neuper@52105	512	(([2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	513	(([3], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	514	(([4], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)), <--- (2) input next
neuper@52105	515	(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))] <--- (3) is also final result
neuper@52105	516	EXAMPLE NOT OPTIMAL
neuper@52105	517	*)
neuper@52105	518	"--- (0) user input as the first step does not work, thus impdo at least 1 step";
wneuper@59248	519	autoCalculate 1 (Step 1);
wneuper@59248	520	autoCalculate 1 (Step 1);
neuper@52105	521	val ((pt, p), _) = get_calc 1;
neuper@52105	522	(*show_pt pt;
neuper@52105	523	[
neuper@52105	524	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	525	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	526	(([1], Res), a / b + c / d + e / f)]
neuper@52105	527	*)
neuper@52105	528	"--- (1) input an arbitrary next formula";
wneuper@59123	529	appendFormula 1 "((a * d) + (c * b)) / (b * d) + e / f" (\|> Future.join);
neuper@52105	530	val ((pt, p), _) = get_calc 1;
neuper@52105	531	(*show_pt pt;
neuper@52105	532	[
neuper@52105	533	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	534	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	535	(([1], Res), a / b + c / d + e / f),
neuper@52105	536	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	537	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	538	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	539	(([2], Res), (a * d + c * b) / (b * d) + e / f)]
neuper@52105	540	*)
neuper@37906	541	val ((pt,p),_) = get_calc 1;
neuper@52105	542	if p = ([2], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031	543	else error ("inform.sml: [rational,simplification] 1");
neuper@37906	544
neuper@52105	545	"--- (2) input the next formula that would be presented by mat-engine";
neuper@52105	546	(* generate a preview:
wneuper@59248	547	autoCalculate 1 (Step 1);
neuper@52105	548	val ((pt, p), _) = get_calc 1;
neuper@52105	549	show_pt pt;
neuper@52105	550	[
neuper@52105	551	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	552	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	553	(([1], Res), a / b + c / d + e / f),
neuper@52105	554	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	555	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	556	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	557	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	558	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))] <--- input this
neuper@52105	559	*)
wneuper@59123	560	appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (\|> Future.join);
neuper@52105	561	val ((pt, p), _) = get_calc 1;
neuper@52105	562	(*show_pt pt;
neuper@52105	563	[
neuper@52105	564	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	565	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	566	(([1], Res), a / b + c / d + e / f),
neuper@52105	567	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	568	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	569	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	570	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	571	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
neuper@52105	572	*)
neuper@52105	573	if p = ([3], Res) andalso (length o children o (get_nd pt)) (fst p) = 0 then ()
neuper@38031	574	else error ("inform.sml: [rational,simplification] 2");
neuper@37906	575
neuper@52105	576	"--- (3) input the exact final result";
wneuper@59123	577	appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (\|> Future.join);
neuper@52105	578	val ((pt, p), _) = get_calc 1;
neuper@52105	579	(*show_pt pt;
neuper@52105	580	[
neuper@52105	581	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	582	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	583	(([1], Res), a / b + c / d + e / f),
neuper@52105	584	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	585	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	586	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	587	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	588	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	589	(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	590	(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	591	(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	592	(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
neuper@52105	593	*)
neuper@52105	594	if p = ([4], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031	595	else error ("inform.sml: [rational,simplification] 3");
neuper@52105	596
neuper@52105	597	"--- (4) finish the calculation + check the postcondition (in the future)";
wneuper@59248	598	autoCalculate 1 CompleteCalc;
neuper@52105	599	val ((pt, p), _) = get_calc 1;
neuper@52105	600	val (t, asm) = get_obj g_result pt [];
neuper@52105	601	if term2str t = "(a * d * f + b * c * f + b * d * e) / (b * d * f)" andalso
neuper@52105	602	terms2str asm = "[\"b * d * f ~= 0\",\"d ~= 0\",\"b ~= 0\"," ^
neuper@52105	603	"\"a * x / (b * x) + c * x / (d * x) + e / f is_ratpolyexp\"]"
neuper@52105	604	then () else error "inform [rational,simplification] changed at end";
neuper@52105	605	(*show_pt pt;
neuper@52105	606	[
neuper@52105	607	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	608	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	609	(([1], Res), a / b + c / d + e / f),
neuper@52105	610	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	611	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	612	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	613	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	614	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	615	(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	616	(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	617	(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	618	(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	619	(([5], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	620	(([6], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)),
neuper@52105	621	(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))]
neuper@52105	622	*)
wneuper@59252	623	DEconstrCalcTree 1;
neuper@37906	624
neuper@37906	625	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	626	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	627	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	628	val t = str2term "Diff (x^^^2 + x + 1, x)";
neuper@37906	629	case t of Const ("Diff.Diff", _) $ _ => ()
neuper@37906	630	\| _ => raise
neuper@37906	631	error "diff.sml behav.changed for CAS Diff (..., x)";
neuper@37906	632	atomty t;
neuper@37906	633	"-----------------------------------------------------------------";
s1210629013@55445	634	(1>)reset_states ();
neuper@37906	635	(2>)CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	636	(3>)Iterator 1;moveActiveRoot 1;
neuper@37906	637	"----- here the Headline has been finished";
neuper@37906	638	(4>)moveActiveFormula 1 ([],Pbl);
neuper@37906	639	(5>)replaceFormula 1 "Diff (x^2 + x + 1, x)";
neuper@37906	640	val ((pt,_),_) = get_calc 1;
neuper@37906	641	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	642	val NONE = env;
neuper@37926	643	val (SOME istate, NONE) = loc;
wneuper@59111	644	default_print_depth 5;
neuper@37906	645	writeln"-----------------------------------------------------------";
neuper@37906	646	spec;
neuper@37924	647	writeln (itms2str_ ctxt probl);
neuper@37924	648	writeln (itms2str_ ctxt meth);
neuper@48895	649	writeln (istate2str (fst istate));
neuper@37906	650
neuper@37906	651	refFormula 1 ([],Pbl) (--> correct CalcHead);
neuper@37906	652	(081016 NOT necessary (but leave it in Java):)
wneuper@59248	653	(6>)(completeCalcHead)autoCalculate 1 CompleteCalcHead;
neuper@37906	654	"----- here the CalcHead has been completed --- ONCE MORE ?????";
neuper@37906	655
neuper@37906	656	(*difference II*)
neuper@37906	657	val ((pt,p),_) = get_calc 1;
neuper@37906	658	(val p = ([], Pbl))
neuper@37906	659	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	660	val NONE = env;
neuper@37926	661	val (SOME istate, NONE) = loc;
wneuper@59111	662	default_print_depth 5; writeln (istate2str (fst istate)); default_print_depth 3;
neuper@37906	663	(*ScrState ([],
neuper@37926	664	[], NONE,
neuper@37906	665	??.empty, Sundef, false)*)
wneuper@59111	666	default_print_depth 5; spec; default_print_depth 3;
neuper@38050	667	(*("Isac",
neuper@37906	668	["derivative_of", "function"],
neuper@37906	669	["diff", "differentiate_on_R"]) : spec*)
neuper@37924	670	writeln (itms2str_ ctxt probl);
neuper@37906	671	(*[
neuper@37906	672	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	673	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	674	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924	675	writeln (itms2str_ ctxt meth);
neuper@37906	676	(*[
neuper@37906	677	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	678	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	679	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906	680	writeln"-----------------------------------------------------------";
neuper@37906	681	(7>)fetchProposedTactic 1 (--> Apply_Method);
neuper@37906	682	(WN081028 fixed <ERROR> helpless </ERROR> by inform returning ...(.,Met))
wneuper@59248	683	autoCalculate 1 CompleteCalc;
neuper@37906	684	val ((pt,p),_) = get_calc 1;
neuper@37906	685	val Form res = (#1 o pt_extract) (pt, ([],Res));
neuper@37906	686	show_pt pt;
neuper@37906	687	if p = ([], Res) andalso term2str res = "1 + 2 * x" then ()
neuper@38031	688	else error "diff.sml behav.changed for Diff (x^2 + x + 1, x)";
wneuper@59252	689	DEconstrCalcTree 1;
neuper@37906	690
neuper@37906	691	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	692	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	693	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	694	(*the following input is copied from BridgeLog Java <==> SML,
neuper@37906	695	omitting unnecessary inputs*)
s1210629013@55445	696	(1>)reset_states ();
akargl@42176	697	(2>)CalcTree [(["functionTerm (x^2 + x + 1)", "differentiateFor x", "derivative f_'_f"],("Isac",["derivative_of","function"],["diff","differentiate_on_R"]))];
neuper@37906	698	(3>)Iterator 1; moveActiveRoot 1;
neuper@37906	699
wneuper@59248	700	(6>)(completeCalcHead)autoCalculate 1 CompleteCalcHead;
neuper@37906	701	(*difference II*)
neuper@37906	702	val ((pt,_),_) = get_calc 1;
neuper@37906	703	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	704	val NONE = env;
neuper@37926	705	val (SOME istate, NONE) = loc;
wneuper@59111	706	default_print_depth 5; writeln (istate2str (fst istate)); default_print_depth 3;
neuper@37906	707	(*ScrState ([],
neuper@37926	708	[], NONE,
neuper@37906	709	??.empty, Sundef, false)*)
wneuper@59111	710	default_print_depth 5; spec; default_print_depth 3;
neuper@38050	711	(*("Isac",
neuper@37906	712	["derivative_of", "function"],
neuper@37906	713	["diff", "differentiate_on_R"]) : spec*)
neuper@37924	714	writeln (itms2str_ ctxt probl);
neuper@37906	715	(*[
neuper@37906	716	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	717	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	718	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924	719	writeln (itms2str_ ctxt meth);
neuper@37906	720	(*[
neuper@37906	721	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	722	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	723	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906	724	writeln"-----------------------------------------------------------";
neuper@37906	725	(7>)fetchProposedTactic 1 (--> Apply_Method);
wneuper@59248	726	autoCalculate 1 (Step 1);
neuper@37906	727	val ((pt,p),_) = get_calc 1;
neuper@37906	728	val Form res = (#1 o pt_extract) (pt, p);
neuper@37906	729	if term2str res = "d_d x (x ^^^ 2 + x + 1)" then ()
neuper@38031	730	else error "diff.sml Diff (x^2 + x + 1, x) from exp";
wneuper@59252	731	DEconstrCalcTree 1;
neuper@37906	732
neuper@37906	733	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906	734	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906	735	"--------- init_form, start with <NEW> (CAS input) ---------------";
s1210629013@55445	736	reset_states ();
neuper@37906	737	CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	738	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	739	[[from sml: 1
neuper@37906	740	[[from sml: <CALCTREE>
neuper@37906	741	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	742	[[from sml: </CALCTREE>
neuper@37906	743	[[from sml: @@@@@end@@@@@*)
neuper@37906	744	Iterator 1;
neuper@37906	745	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	746	[[from sml: 1
neuper@37906	747	[[from sml: <ADDUSER>
neuper@37906	748	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	749	[[from sml: <USERID> 1 </USERID>
neuper@37906	750	[[from sml: </ADDUSER>
neuper@37906	751	[[from sml: @@@@@end@@@@@*)
neuper@37906	752	moveActiveRoot 1;
neuper@37906	753	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	754	[[from sml: 1
neuper@37906	755	[[from sml: <CALCITERATOR>
neuper@37906	756	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	757	[[from sml: <POSITION>
neuper@37906	758	[[from sml: <INTLIST>
neuper@37906	759	[[from sml: </INTLIST>
neuper@37906	760	[[from sml: <POS> Pbl </POS>
neuper@37906	761	[[from sml: </POSITION>
neuper@37906	762	[[from sml: </CALCITERATOR>
neuper@37906	763	[[from sml: @@@@@end@@@@@*)
neuper@37906	764	getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false;
neuper@37906	765	(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
neuper@37906	766	[[from sml: 1
neuper@37906	767	[[from sml: <GETELEMENTSFROMTO>
neuper@37906	768	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	769	[[from sml: <FORMHEADS>
neuper@37906	770	[[from sml: <CALCFORMULA>
neuper@37906	771	[[from sml: <POSITION>
neuper@37906	772	[[from sml: <INTLIST>
neuper@37906	773	[[from sml: </INTLIST>
neuper@37906	774	[[from sml: <POS> Pbl </POS>
neuper@37906	775	[[from sml: </POSITION>
neuper@37906	776	[[from sml: <FORMULA>
neuper@37906	777	[[from sml: <MATHML>
neuper@37906	778	[[from sml: <ISA> ________________________________________________ </ISA>
neuper@37906	779	[[from sml: </MATHML>
neuper@37906	780	[[from sml:
neuper@37906	781	[[from sml: </FORMULA>
neuper@37906	782	[[from sml: </CALCFORMULA>
neuper@37906	783	[[from sml: </FORMHEADS>
neuper@37906	784	[[from sml: </GETELEMENTSFROMTO>
neuper@37906	785	[[from sml: @@@@@end@@@@@*)
neuper@37906	786	refFormula 1 ([],Pbl);
neuper@37906	787	(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
neuper@37906	788	[[from sml: 1
neuper@37906	789	[[from sml: <REFFORMULA>
neuper@37906	790	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	791	[[from sml: <CALCHEAD status = "incorrect">
neuper@37906	792	[[from sml: <POSITION>
neuper@37906	793	[[from sml: <INTLIST>
neuper@37906	794	[[from sml: </INTLIST>
neuper@37906	795	[[from sml: <POS> Pbl </POS>
neuper@37906	796	[[from sml: </POSITION>
neuper@37906	797	[[from sml: <HEAD>
neuper@37906	798	[[from sml: <MATHML>
neuper@37906	799	[[from sml: <ISA> Problem (e_domID, [e_pblID]) </ISA>
neuper@37906	800	[[from sml: </MATHML>
neuper@37906	801	[[from sml: </HEAD>
neuper@37906	802	[[from sml: <MODEL>
neuper@37906	803	[[from sml: <GIVEN> </GIVEN>
neuper@37906	804	[[from sml: <WHERE> </WHERE>
neuper@37906	805	[[from sml: <FIND> </FIND>
neuper@37906	806	[[from sml: <RELATE> </RELATE>
neuper@37906	807	[[from sml: </MODEL>
neuper@37906	808	[[from sml: <BELONGSTO> Pbl </BELONGSTO>
neuper@37906	809	[[from sml: <SPECIFICATION>
neuper@37906	810	[[from sml: <THEORYID> e_domID </THEORYID>
neuper@37906	811	[[from sml: <PROBLEMID>
neuper@37906	812	[[from sml: <STRINGLIST>
neuper@37906	813	[[from sml: <STRING> e_pblID </STRING>
neuper@37906	814	[[from sml: </STRINGLIST>
neuper@37906	815	[[from sml: </PROBLEMID>
neuper@37906	816	[[from sml: <METHODID>
neuper@37906	817	[[from sml: <STRINGLIST>
neuper@37906	818	[[from sml: <STRING> e_metID </STRING>
neuper@37906	819	[[from sml: </STRINGLIST>
neuper@37906	820	[[from sml: </METHODID>
neuper@37906	821	[[from sml: </SPECIFICATION>
neuper@37906	822	[[from sml: </CALCHEAD>
neuper@37906	823	[[from sml: </REFFORMULA>
neuper@37906	824	[[from sml: @@@@@end@@@@@*)
neuper@37906	825	moveActiveFormula 1 ([],Pbl);
neuper@37906	826	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	827	[[from sml: 1
neuper@37906	828	[[from sml: <CALCITERATOR>
neuper@37906	829	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	830	[[from sml: <POSITION>
neuper@37906	831	[[from sml: <INTLIST>
neuper@37906	832	[[from sml: </INTLIST>
neuper@37906	833	[[from sml: <POS> Pbl </POS>
neuper@37906	834	[[from sml: </POSITION>
neuper@37906	835	[[from sml: </CALCITERATOR>
neuper@37906	836	[[from sml: @@@@@end@@@@@*)
neuper@37906	837	replaceFormula 1 "Simplify (1+2)";
neuper@37906	838	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	839	[[from sml: 1
neuper@37906	840	[[from sml: <REPLACEFORMULA>
neuper@37906	841	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	842	[[from sml: <CALCCHANGED>
neuper@37906	843	[[from sml: <UNCHANGED>
neuper@37906	844	[[from sml: <INTLIST>
neuper@37906	845	[[from sml: </INTLIST>
neuper@37906	846	[[from sml: <POS> Pbl </POS>
neuper@37906	847	[[from sml: </UNCHANGED>
neuper@37906	848	[[from sml: <DELETED>
neuper@37906	849	[[from sml: <INTLIST>
neuper@37906	850	[[from sml: </INTLIST>
neuper@37906	851	[[from sml: <POS> Pbl </POS>
neuper@37906	852	[[from sml: </DELETED>
neuper@37906	853	[[from sml: <GENERATED>
neuper@37906	854	[[from sml: <INTLIST>
neuper@37906	855	[[from sml: </INTLIST>
neuper@37906	856	[[from sml: <POS> Met </POS> DIFFERENCE: Pbl
neuper@37906	857	[[from sml: </GENERATED>
neuper@37906	858	[[from sml: </CALCCHANGED>
neuper@37906	859	[[from sml: </REPLACEFORMULA>
neuper@37906	860	[[from sml: @@@@@end@@@@@*)
neuper@37906	861	getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false(* DIFFERENCE: Pbl*);
neuper@37906	862	(*@@@@@begin@@@@@
neuper@37906	863	1
neuper@37906	864	<GETELEMENTSFROMTO>
neuper@37906	865	<CALCID> 1 </CALCID>
neuper@37906	866	<FORMHEADS>
neuper@37906	867	<CALCFORMULA>
neuper@37906	868	<POSITION>
neuper@37906	869	<INTLIST>
neuper@37906	870	</INTLIST>
neuper@37906	871	<POS> Pbl </POS>
neuper@37906	872	</POSITION>
neuper@37906	873	<FORMULA>
neuper@37906	874	<MATHML>
neuper@37906	875	<ISA> Simplify (1 + 2) </ISA> WORKS !!!!!
neuper@37906	876	</MATHML>
neuper@37906	877	</FORMULA>
neuper@37906	878	</CALCFORMULA>
neuper@37906	879	</FORMHEADS>
neuper@37906	880	</GETELEMENTSFROMTO>
neuper@37906	881	@@@@@end@@@@@*)
neuper@37906	882	getFormulaeFromTo 1 ([],Pbl) ([],Met) 0 false;
neuper@37906	883	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	884	[[from sml: 1
neuper@37906	885	[[from sml: <SYSERROR>
neuper@37906	886	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	887	[[from sml: <ERROR> error in getFormulaeFromTo </ERROR>
neuper@37906	888	[[from sml: </SYSERROR>
neuper@37906	889	[[from sml: @@@@@end@@@@@*)
neuper@37906	890	(step into getFormulaeFromTo --- bug corrected...)
neuper@42423	891
neuper@42423	892	"--------- build fun check_err_patt ------------------------------";
neuper@42423	893	"--------- build fun check_err_patt ------------------------------";
neuper@42423	894	"--------- build fun check_err_patt ------------------------------";
neuper@42426	895	val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42423	896	val rls = norm_Rational
neuper@42423	897	val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423	898	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42423	899	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "1 / 2");
neuper@42423	900
neuper@42426	901	val (res', _, _, rewritten) = (rewritten: the lhs of the pattern matches in res)
neuper@42423	902	rew_sub thy 1 [] e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42423	903	if rewritten then NONE else SOME "e_errpatID";
neuper@42423	904
neuper@42423	905	val norm_res = case rewrite_set_ (Isac()) false rls res' of
neuper@42423	906	NONE => res'
neuper@42423	907	\| SOME (norm_res, _) => norm_res
neuper@42423	908
neuper@42423	909	val norm_inf = case rewrite_set_ (Isac()) false rls inf of
neuper@42423	910	NONE => inf
neuper@42423	911	\| SOME (norm_inf, _) => norm_inf;
neuper@42423	912
neuper@42423	913	res' = inf;
neuper@42423	914	norm_res = norm_inf;
neuper@42423	915
neuper@42423	916	val pat = parse_patt @{theory} "(?a + ?b)/?a = ?b";
neuper@42423	917	val (res, inf) = (str2term "(2 + 3)/2", str2term "3");
neuper@42426	918	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	919	then () else error "error patt example1 changed";
neuper@42423	920
neuper@42423	921	val pat = parse_patt @{theory} "(?a + ?b)/(?a + ?c) = ?b / ?c";
neuper@42423	922	val (res, inf) = (str2term "(2 + 3)/(2 + 4)", str2term "3 / 4");
neuper@42426	923	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	924	then () else error "error patt example2 changed";
neuper@42423	925
neuper@42423	926	val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423	927	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42426	928	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	929	then () else error "error patt example3 changed";
neuper@42423	930
neuper@42423	931	val inf = str2term "1 / 2";
neuper@42426	932	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	933	then () else error "error patt example3 changed";
neuper@42423	934
neuper@42426	935	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	936	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	937	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	938	val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42426	939	val t = str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))";
neuper@42426	940	val SOME (t, _) = rewrite_set_inst_ thy false subst norm_diff t;
neuper@42426	941	if term2str t = "2 * x + cos (x ^^^ 4) * 4 * x ^^^ 3" then ()
neuper@42426	942	else error "build fun check_err_patt ?bdv changed 1";
neuper@42423	943
neuper@42426	944	val rls = norm_diff
neuper@42426	945	val pat = parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)";
neuper@42426	946	val (res, inf) = (str2term "2 * x + d_d x (sin (x ^^^ 4))", str2term "2 * x + cos (4 * x ^^^ 3)");
neuper@42426	947
neuper@42426	948	val (res', _, _, rewritten) = (rewritten: the lhs of the pattern matches in res)
neuper@42426	949	rew_sub thy 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42426	950	if term2str res' = "2 * x + cos (d_d x (x ^^^ 4))" andalso rewritten then ()
neuper@42426	951	else error "build fun check_err_patt ?bdv changed 2";
neuper@42426	952
neuper@42426	953	val norm_res = case rewrite_set_inst_ (Isac()) false subst rls res' of
neuper@42426	954	NONE => res'
neuper@42426	955	\| SOME (norm_res, _) => norm_res;
neuper@42426	956	if term2str norm_res = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426	957	else error "build fun check_err_patt ?bdv changed 3";
neuper@42426	958
neuper@42426	959	val norm_inf = case rewrite_set_inst_ (Isac()) false subst rls inf of
neuper@42426	960	NONE => inf
neuper@42426	961	\| SOME (norm_inf, _) => norm_inf;
neuper@42426	962	if term2str norm_inf = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426	963	else error "build fun check_err_patt ?bdv changed 4";
neuper@42426	964
neuper@42426	965	res' = inf;
neuper@42426	966	if norm_res = norm_inf then ()
neuper@42426	967	else error "build fun check_err_patt ?bdv changed 5";
neuper@42426	968
neuper@42426	969	if check_err_patt (res, inf) (subst: subst) ("errpatID": errpatID, pat) rls = SOME "errpatID"
neuper@42426	970	then () else error "error patt example1 changed";
neuper@42426	971
neuper@42428	972	"--------- build fun check_error_patterns ------------------------";
neuper@42428	973	"--------- build fun check_error_patterns ------------------------";
neuper@42428	974	"--------- build fun check_error_patterns ------------------------";
neuper@42428	975	val (res, inf) =
neuper@42428	976	(str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))",
neuper@42428	977	str2term "d_d x (x ^^^ 2) + cos (4 * x ^^^ 3)");
neuper@48790	978	val {errpats, nrls = rls, scr = Prog prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@42426	979
neuper@42428	980	val env = [(str2term "v_v", str2term "x")];
neuper@42428	981	val errpats =
neuper@42428	982	[e_errpat, (generalised for testing)
neuper@42428	983	("chain-rule-diff-both",
neuper@42428	984	[parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)",
neuper@42428	985	parse_patt @{theory} "d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)",
neuper@42428	986	parse_patt @{theory} "d_d ?bdv (?u ^^^ ?n) = ?n * ?u ^^^ (?n - 1)",
neuper@42428	987	parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / ?u",
neuper@42428	988	parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u"],
neuper@42428	989	[@{thm diff_sin_chain}, @{thm diff_cos_chain}, @{thm diff_pow_chain},
neuper@42428	990	@{thm diff_ln_chain}, @{thm diff_exp_chain}])]: errpat list;
neuper@42428	991	case check_error_patterns (res, inf) (prog, env) (errpats, rls) of SOME _ => ()
neuper@42428	992	\| NONE => error "check_error_patterns broken";
wneuper@59252	993	DEconstrCalcTree 1;
neuper@42428	994
neuper@42428	995	"--------- embed fun check_error_patterns ------------------------";
neuper@42428	996	"--------- embed fun check_error_patterns ------------------------";
neuper@42428	997	"--------- embed fun check_error_patterns ------------------------";
s1210629013@55445	998	reset_states ();
neuper@42428	999	CalcTree
neuper@42428	1000	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42428	1001	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42428	1002	Iterator 1;
neuper@42428	1003	moveActiveRoot 1;
wneuper@59248	1004	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1005	autoCalculate 1 (Step 1);
wneuper@59248	1006	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59248	1007	(autoCalculate 1 (Step 1);([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) d_d x (x ^^^ 4)*)
neuper@42428	1008
neuper@42428	1009	"~~~~~ fun appendFormula, args:"; val (cI, (ifo:cterm')) = (1, "d_d x (x ^ 2) + cos (4 * x ^ 3)");
neuper@42428	1010	val cs = get_calc cI
neuper@42428	1011	val pos as (_,p_) = get_pos cI 1; (pos = ([1], Res))
neuper@42428	1012	val cs' =
neuper@42428	1013	case step pos cs of
neuper@42428	1014	("ok", cs') => cs';
neuper@42428	1015
neuper@42428	1016	val (_, _, (pt, ([2], Res))) = cs';
neuper@42428	1017	(*show_pt pt;
neuper@42428	1018	[(([], Frm), Diff (x ^^^ 2 + sin (x ^^^ 4), x)),
neuper@42428	1019	(([1], Frm), d_d x (x ^^^ 2 + sin (x ^^^ 4))),
neuper@42428	1020	(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))), <<=== input follos: "...+ cos(4.x^3)"
neuper@42428	1021	(([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4))] *)
neuper@42428	1022
neuper@42428	1023	"~~~~~ fun inform, args:"; val ((cs as (_, _, ptp as (pt, pos as (p, p_))): calcstate'), istr) =
neuper@42428	1024	(cs', (encode ifo));
neuper@42428	1025	val SOME f_in = parse (assoc_thy "Isac") istr
wneuper@59188	1026	val f_in = Thm.term_of f_in
neuper@42428	1027	val pos_pred = lev_back' pos
neuper@42428	1028	(* f_pred ---"step pos cs"---> f_succ in appendFormula
neuper@42428	1029	TODO.WN120517: one starting point for redesign of pos' *)
neuper@42432	1030	val (f_pred, f_succ) = (get_curr_formula (pt, pos_pred), get_curr_formula (pt, pos));
neuper@42428	1031
neuper@42428	1032	term2str f_pred = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))";
neuper@42428	1033	term2str f_succ = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)";
neuper@42428	1034
neuper@42428	1035	f_succ = f_in; (* = false*)
neuper@42428	1036	cas_input f_in; (* = NONE*)
neuper@42428	1037	val msg_calcstate' = compare_step ([], [], (pt, pos_pred)) f_in
neuper@42428	1038	val ("no derivation found", calcstate') = msg_calcstate';
neuper@42428	1039	val pp = par_pblobj pt p
neuper@48790	1040	val {errpats, nrls, scr = Prog prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42428	1041	val ScrState (env, _, _, _, _, _) = get_istate pt pos;
neuper@42428	1042	case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428	1043	SOME errpatID => ("error pattern #" ^ errpatID ^ "#", calcstate')
neuper@42428	1044	\| NONE => msg_calcstate';
neuper@42428	1045
neuper@42428	1046	"~~~~~ from inform return val:"; val () = ();
neuper@42428	1047	case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428	1048	SOME errpatID => ()
neuper@42428	1049	\| NONE => error "check_error_patterns broken";
neuper@42428	1050
neuper@42428	1051	"--- final check:";
neuper@42428	1052	case inform cs' (encode ifo) of
neuper@42428	1053	("error pattern #chain-rule-diff-both#", calcstate') => ()
neuper@42428	1054	\| _ => error "inform with (positive) check_error_patterns broken"
neuper@42428	1055
neuper@48895	1056	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1057	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1058	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1059	(*cause for this test was: wrong thy in Build_Thydata.thy in
neuper@48895	1060	insert_fillpats ["IsacKnowledge", "Diff", "Theorems", "diff_sin_chain"]*)
neuper@48895	1061	val f_curr = str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"
neuper@48895	1062	val errpatID = "chain-rule-diff-both"
neuper@48895	1063	val {errpats, scr = Prog prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@48895	1064	val env =
neuper@48895	1065	[(str2term "f_f", str2term "x ^^^ 2 + sin (x ^^^ 4)"),
neuper@48895	1066	(str2term "v_v", str2term "x"),
neuper@48895	1067	(str2term "f_f'", str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))")]
neuper@48895	1068	val subst = get_bdv_subst prog env
neuper@48895	1069	val errpatthms = errpats
neuper@48895	1070	\|> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@48895	1071	\|> map (#3: errpat -> thm list)
neuper@48895	1072	\|> flat;
neuper@48895	1073	"~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@48895	1074	(subst, f_curr, errpatID, hd (simulate beginning of "map") errpatthms);
neuper@48895	1075	val thmDeriv = Thm.get_name_hint thm
neuper@48895	1076	val (part, thyID) = thy_containing_thm thmDeriv
neuper@48895	1077	val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@48895	1078	val Hthm {fillpats, ...} = get_the theID
neuper@48895	1079	val some = map (get_fillform subst (thm, form) errpatID) fillpats;
neuper@48895	1080	"~~~~~ fun get_fillform, args:";
neuper@48895	1081	val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
neuper@48895	1082	(subst, (thm, form), errpatID, hd (simulate beginning of "map") fillpats);
neuper@48895	1083	val (form', _, _, rewritten) =
neuper@48895	1084	rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@48895	1085	"~~~~~ fun rew_sub, args:"; val (thy, i, bdv, tless, rls, put_asm, lrd:lrd list, r, t) =
neuper@48895	1086	((Isac()), 1, subst, e_rew_ord, e_rls, false, [], (Trueprop $ pat), form);
neuper@48895	1087	val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop
neuper@48895	1088	o Logic.strip_imp_concl) r;
neuper@48895	1089	(/-------------catch the planned exception)
neuper@48895	1090	(let
neuper@48895	1091	val r' = Envir.subst_term (Pattern.match thy (lhs, t)
neuper@48895	1092	(Vartab.empty, Vartab.empty)) r;
neuper@48895	1093	in 111 end
neuper@48895	1094	) handle PATTERN (because only a subterm matches) => 111;
neuper@48895	1095	case t of t1 $ t2 =>
neuper@48895	1096	let val (t2', asm2, lrd, rew2) = rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2
neuper@48895	1097	in
neuper@48895	1098	if rew2 then (t1 $ t2', asm2, lrd, true) else
neuper@48895	1099	let val (t1', asm1, lrd, rew1) = rew_sub thy i bdv tless rls put_asm (lrd@[L]) r t1
neuper@48895	1100	in if rew1 then (t1' $ t2, asm1, lrd, true) else (t1 $ t2,[], lrd, false) end
neuper@48895	1101	end;
neuper@48895	1102	(catch the planned exception-------------/)
neuper@48895	1103
neuper@48895	1104	val t1 $ t2 = t;
neuper@48895	1105	val (t2', asm2, lrd, rew2) = rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2;
neuper@48895	1106	"~~~~~ fun rew_sub, args:"; val (thy, i, bdv, tless, rls, put_asm, lrd:lrd list, r, t) =
neuper@48895	1107	(thy, i, bdv, tless, rls, put_asm, (lrd@[R]), r, t2);
neuper@48895	1108	val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl) r;
neuper@48895	1109	val r' = Envir.subst_term (Pattern.match thy (lhs, t) (Vartab.empty, Vartab.empty)) r;
neuper@48895	1110	val p' = map HOLogic.dest_Trueprop ((fst o Logic.strip_prems) (Logic.count_prems r', [], r'));
neuper@48895	1111	val t' = (snd o HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl) r';
neuper@48895	1112	if term2str t' = "cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@48895	1113	else error "get_fillpats changed 1"
wneuper@59252	1114	DEconstrCalcTree 1;
neuper@48895	1115
neuper@42430	1116	"--------- embed fun find_fillpatterns ---------------------------";
neuper@42430	1117	"--------- embed fun find_fillpatterns ---------------------------";
neuper@42430	1118	"--------- embed fun find_fillpatterns ---------------------------";
s1210629013@55445	1119	reset_states ();
neuper@42430	1120	CalcTree
neuper@42430	1121	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42430	1122	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42430	1123	Iterator 1;
neuper@42430	1124	moveActiveRoot 1;
wneuper@59248	1125	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1126	autoCalculate 1 (Step 1);
wneuper@59248	1127	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59123	1128	appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)" (\|> Future.join);
neuper@42430	1129	(<CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>)
neuper@42432	1130	(*or
neuper@42432	1131	<CALCMESSAGE> no derivation found </CALCMESSAGE>*)
neuper@42430	1132
neuper@42433	1133	"~~~~~ fun findFillpatterns, args:"; val (cI, errpatID) = (1, "chain-rule-diff-both");
neuper@42430	1134	val ((pt, _), _) = get_calc cI
neuper@42430	1135	val pos = get_pos cI 1;
neuper@42432	1136	"~~~~~ fun find_fillpatterns, args:"; val ((pt, pos as (p, _)), errpatID) = ((pt, pos), errpatID);
neuper@42432	1137	val f_curr = get_curr_formula (pt, pos); (* = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"*)
neuper@42430	1138	val pp = par_pblobj pt p
neuper@48895	1139	val {errpats, scr = Prog prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42430	1140	val ScrState (env, _, _, _, _, _) = get_istate pt pos
neuper@42430	1141	val subst = get_bdv_subst prog env
neuper@42430	1142	val errpatthms = errpats
neuper@42430	1143	\|> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@42430	1144	\|> map (#3: errpat -> thm list)
neuper@42430	1145	\|> flat;
neuper@42430	1146
neuper@42430	1147	case map (get_fillpats subst f_curr errpatID) errpatthms \|> flat of
neuper@42433	1148	("fill-d_d-arg", tm, thm, subs_opt) :: _ => if term2str tm =
neuper@42432	1149	"d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1"
neuper@42432	1150	then () else error "find_fillpatterns changed 1a"
neuper@42432	1151	\| _ => error "find_fillpatterns changed 1b"
neuper@42430	1152
neuper@42430	1153	"~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@42432	1154	(subst, f_curr, errpatID, hd (simulate beginning of "map") errpatthms);
neuper@42430	1155	val thmDeriv = Thm.get_name_hint thm
neuper@42430	1156	val (part, thyID) = thy_containing_thm thmDeriv
neuper@42430	1157	val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@42430	1158	val Hthm {fillpats, ...} = get_the theID
neuper@42433	1159	val some = map (get_fillform subst (thm, form) errpatID) fillpats;
neuper@42430	1160
neuper@42430	1161	case some \|> filter is_some \|> map the of
neuper@42433	1162	("fill-d_d-arg", tm, thm, subsopt) :: _ => if term2str tm =
neuper@42432	1163	"d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1"
neuper@42432	1164	then () else error "find_fillpatterns changed 2a"
neuper@42432	1165	\| _ => error "find_fillpatterns changed 2b"
neuper@42430	1166
neuper@42433	1167	"~~~~~ fun get_fillform, args:";
neuper@42433	1168	val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
neuper@42433	1169	(subst, (thm, form), errpatID, hd (simulate beginning of "map") fillpats);
neuper@42433	1170	val (form', _, _, rewritten) =
neuper@42432	1171	rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@42432	1172
neuper@42432	1173	if term2str form' = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@42432	1174	else error "find_fillpatterns changed 3";
neuper@42432	1175
neuper@42433	1176	"~~~~~ to findFillpatterns return val:"; val (fillpats) =
neuper@42433	1177	(map (get_fillpats (subs_opt, subst) f_curr errpatID) errpatthms \|> flat) (only from "hd errpatthms");
neuper@42432	1178
neuper@42450	1179	"vvv--- dropped this code WN120730";
neuper@42433	1180	val msg = "fill patterns " ^
neuper@42433	1181	((map ((apsnd term2str) o quad2pair) fillpats) \|> map pair2str_ \|> strs2str_);
neuper@42450	1182	msg =
neuper@42432	1183	"fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1184	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" ^
neuper@42432	1185	"#fill-both-args#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1186	" =\nd_d x (x ^^^ 2) + cos ?_dummy_2 * d_d x ?_dummy_3" ^
neuper@42432	1187	"#fill-d_d#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1188	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1 x (x ^^^ 4)" ^
neuper@42432	1189	"#fill-inner-deriv#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1190	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1" ^
neuper@42450	1191	"#fill-all#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) = d_d x (x ^^^ 2) + ?_dummy_1#";
neuper@42450	1192	"^^^--- dropped this code WN120730";
neuper@42450	1193
neuper@42450	1194	if (map #1 fillpats) =
neuper@42450	1195	["fill-d_d-arg", "fill-both-args", "fill-d_d", "fill-inner-deriv", "fill-all"]
neuper@42450	1196	then () else error "find_fillpatterns changed 4b";
wneuper@59252	1197	DEconstrCalcTree 1;
neuper@42450	1198
neuper@42437	1199	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@42437	1200	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@42437	1201	"--------- build fun is_exactly_equal, inputFillFormula ----------";
s1210629013@55445	1202	reset_states ();
neuper@42437	1203	CalcTree
neuper@42437	1204	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42437	1205	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42437	1206	Iterator 1;
neuper@42437	1207	moveActiveRoot 1;
wneuper@59248	1208	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1209	autoCalculate 1 (Step 1);
wneuper@59248	1210	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59123	1211	appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)" (\|> Future.join); (<<<<<<<=========================)
neuper@42437	1212	(* the check for errpat is maximally liberal (whole term modulo "nrls" from "type met"),
neuper@42437	1213	would recognize "cos (4 * x ^ (4 - 1)) + 2 * x" as well.
neuper@42437	1214	results in <CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>
neuper@42437	1215	instead of <CALCMESSAGE> no derivation found </CALCMESSAGE> *)
neuper@42437	1216	val ((pt,pos), _) = get_calc 1;
neuper@42437	1217	val p = get_pos 1 1;
neuper@42437	1218	val (Form f, _, asms) = pt_extract (pt, p);
neuper@42437	1219
neuper@42437	1220	if p = ([1], Res) andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" andalso
neuper@55480	1221	get_obj g_tac pt (fst p) = Rewrite_Inst (["(bdv, x)"],
wneuper@59252	1222	("diff_sum", str2term "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v"))
neuper@42437	1223	then () else error "embed fun get_fillform changed 1";
neuper@42437	1224
neuper@42437	1225	findFillpatterns 1 "chain-rule-diff-both"; (<<<<<<<=================================)
neuper@42437	1226	(*<CALCMESSAGE> fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =
neuper@42437	1227	d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1#fill-both-args#...#...#... *)
neuper@42437	1228	val ((pt,pos),_) = get_calc 1;
neuper@42437	1229	val p = get_pos 1 1;
neuper@42437	1230
neuper@42437	1231	val (Form f, _, asms) = pt_extract (pt, p);
neuper@42437	1232	if p = ([1], Res) andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" andalso
neuper@55480	1233	get_obj g_tac pt (fst p) = Rewrite_Inst (["(bdv, x)"],
wneuper@59252	1234	("diff_sum", str2term "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v"))
neuper@55480	1235	then () else error "embed fun get_fillform changed 2";
neuper@42437	1236
neuper@42437	1237	requestFillformula 1 ("chain-rule-diff-both", "fill-both-args");(<<<<<<<============)
neuper@42437	1238	(<AUTOCALC> ([1], Res) ([2], Res) ([2], Res) </AUTOCALC>)
neuper@42437	1239	val ((pt,pos),_) = get_calc 1;
neuper@42437	1240	val p = get_pos 1 1;
neuper@42437	1241	val (Form f, _, asms) = pt_extract (pt, p);
neuper@42437	1242	if p = ([1], Res) andalso existpt [2] pt andalso
neuper@42437	1243	term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" andalso
neuper@55480	1244	get_obj g_tac pt (fst p) = Rewrite_Inst (["(bdv, x)"],
wneuper@59252	1245	("diff_sum", str2term "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v"))
neuper@42437	1246	then () else error "embed fun get_fillform changed 3";
neuper@42437	1247
neuper@42437	1248	(* input a formula which exactly fills the gaps in a "fillformula"
neuper@42437	1249	presented to the learner immediately before by "requestFillformula (errpatID, fillpatID)":
neuper@42437	1250	errpatID: lhs of the respective thm = lhs of fillformula with fillpatID.
neuper@42437	1251	the respective thm is in the ctree ................
neuper@42437	1252	*)
neuper@42437	1253	"~~~~~ fun inputFillFormula, args:"; val (cI, ifo) =
neuper@42437	1254	(1, "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)");
neuper@42437	1255	val ((pt, _), _) = get_calc cI
neuper@42437	1256	val pos = get_pos cI 1;
neuper@42437	1257
neuper@42437	1258	"~~~~~ fun is_exactly_equal, args:"; val ((pt, pos as (p, p_)), istr) = ((pt, pos), ifo);
neuper@42437	1259	val SOME ifo = parseNEW (assoc_thy "Isac" \|> thy2ctxt) istr
neuper@42437	1260	val p' = lev_on p;
neuper@42437	1261	val tac = get_obj g_tac pt p';
wneuper@59252	1262	val Rewrite_Inst ([bbb as "(bdv, x)"], ("diff_sin_chain", ttt)) = tac;
wneuper@59252	1263	if term2str ttt = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
wneuper@59252	1264	else error "inputFillFormula changed 10";
neuper@42437	1265	val Appl rew = applicable_in pos pt tac;
neuper@42437	1266	val Rewrite_Inst' (_, _, _, _, _, _, _, (res, _)) = rew;
neuper@42437	1267
neuper@42437	1268	"~~~~~ to inputFillFormula return val:"; val ("ok", tac) = ("ok", tac);
neuper@42437	1269	val ("ok", (_, c, ptp as (_,p'))) = locatetac tac (pt, pos);
neuper@42437	1270	upd_calc cI (ptp, []);
neuper@42437	1271	upd_ipos cI 1 p';
neuper@42437	1272	autocalculateOK2xml cI pos (if null c then p' else last_elem c) p';
neuper@42437	1273
neuper@42437	1274	"~~~~~ final check:";
neuper@42437	1275	val ((pt, _),_) = get_calc 1;
neuper@42437	1276	val p = get_pos 1 1;
neuper@42437	1277	val (Form f, _, asms) = pt_extract (pt, p);
neuper@42437	1278	if p = ([2], Res) andalso
neuper@42437	1279	term2str f = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)" andalso
neuper@55482	1280	get_obj g_tac pt (fst p) =
wneuper@59252	1281	Rewrite_Inst (["(bdv, x)"], ("diff_sin_chain", str2term "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u"))
neuper@42437	1282	then () else error "inputFillFormula changed 11";
neuper@42437	1283

author	Walther Neuper <wneuper@ist.tugraz.at>
	Tue, 18 Oct 2016 12:05:03 +0200
changeset 59252	7d3dbc1171ff
parent 59248	5eba5e6d5266
child 59253	f0bb15a046ae
permissions	-rw-r--r--