wneuper/isa: test/Tools/isac/Interpret/inform.sml@255c853ea2f0 (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
neuper@37906	6	"-----------------------------------------------------------------";
neuper@37906	7	"table of contents -----------------------------------------------";
neuper@37906	8	"-----------------------------------------------------------------";
neuper@37906	9	"appendForm with miniscript with mini-subpbl:";
neuper@37906	10	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	11	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	12	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	13	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	14	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	15	"replaceForm with miniscript with mini-subpbl:";
neuper@37906	16	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	17	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	18	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	19	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	20	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	21	(* 040307 copied from informtest.sml ... old versions
neuper@37906	22	"--------- maximum-example, UC: Modeling / modifyCalcHead --------";*)
neuper@37906	23	"--------- syntax error ------------------------------------------";
neuper@37906	24	"CAS-command:";
neuper@37906	25	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	26	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	27	"--------- inform [rational,simplification] ----------------------";
neuper@37906	28	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	29	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	30	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@42423	31	"--------- build fun check_err_patt ------------------------------";
neuper@42426	32	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42428	33	"--------- build fun check_error_patterns ------------------------";
neuper@42428	34	"--------- embed fun check_error_patterns ------------------------";
neuper@48895	35	"--------- build fun get_fillpats --------------------------------";
neuper@42430	36	"--------- embed fun find_fillpatterns ---------------------------";
neuper@48895	37	"--------- build fun is_exactly_equal, inputFillFormula ----------";
wneuper@59262	38	"--------- fun appl_adds -----------------------------------------";
wneuper@59264	39	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	40	"--------- handle an input formula -------------------------------";
wneuper@59264	41	"--------- fun dropwhile' ----------------------------------------";
neuper@37906	42	"-----------------------------------------------------------------";
neuper@37906	43	"-----------------------------------------------------------------";
neuper@37906	44	"-----------------------------------------------------------------";
neuper@37906	45
neuper@37906	46
neuper@37906	47	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	48	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	49	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@48790	50	val Prog sc = (#scr o get_met) ["Test","squ-equ-test-subpbl1"];
neuper@37906	51	(writeln o term2str) sc;
neuper@48790	52	val Prog sc = (#scr o get_met) ["Test","solve_linear"];
neuper@37906	53	(writeln o term2str) sc;
neuper@37906	54
s1210629013@55445	55	reset_states ();
neuper@41970	56	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	57	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	58	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	59	Iterator 1; moveActiveRoot 1;
wneuper@59248	60	autoCalculate 1 CompleteCalcHead;
wneuper@59248	61	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	62	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	63
wneuper@59123	64	appendFormula 1 "-2 * 1 + (1 + x) = 0" (\|> Future.join); refFormula 1 (get_pos 1 1);
neuper@37906	65	val ((pt,_),_) = get_calc 1;
wneuper@59279	66	val str = pr_ctree pr_short pt;
neuper@48895	67	if str =
neuper@48895	68	(". ----- pblobj -----\n" ^
neuper@48895	69	"1. x + 1 = 2\n" ^
neuper@48895	70	"2. x + 1 + -1 * 2 = 0\n" ^
neuper@48895	71	"2.1. x + 1 + -1 * 2 = 0\n" ^
neuper@48895	72	"2.2. 1 + x + -1 * 2 = 0\n" ^
neuper@48895	73	"2.3. 1 + (x + -1 * 2) = 0\n" ^
neuper@48895	74	"2.4. 1 + (x + -2) = 0\n" ^
neuper@48895	75	"2.5. 1 + (x + -2 * 1) = 0\n" ^
neuper@48895	76	"2.6. 1 + x + -2 * 1 = 0\n" ) then ()
neuper@48895	77	else error "inform.sml: diff.behav.appendFormula: on Res + equ 1";
neuper@37906	78
neuper@37906	79	moveDown 1 ([ ],Pbl); refFormula 1 ([1],Frm); (x + 1 = 2)
neuper@37906	80	moveDown 1 ([1],Frm); refFormula 1 ([1],Res); (x + 1 + -1 2 = 0*)
neuper@37906	81
neuper@37906	82	(the seven steps of detailed derivation)
neuper@37906	83	moveDown 1 ([1 ],Res); refFormula 1 ([2,1],Frm);
neuper@37906	84	moveDown 1 ([2,1],Frm); refFormula 1 ([2,1],Res);
neuper@37906	85	moveDown 1 ([2,1],Res); refFormula 1 ([2,2],Res);
neuper@37906	86	moveDown 1 ([2,2],Res); refFormula 1 ([2,3],Res);
neuper@37906	87	moveDown 1 ([2,3],Res); refFormula 1 ([2,4],Res);
neuper@37906	88	moveDown 1 ([2,4],Res); refFormula 1 ([2,5],Res);
neuper@37906	89	moveDown 1 ([2,5],Res); refFormula 1 ([2,6],Res);
neuper@37906	90	val ((pt,_),_) = get_calc 1;
neuper@37906	91	if "-2 * 1 + (1 + x) = 0" = term2str (fst (get_obj g_result pt [2,6])) then()
neuper@38031	92	else error "inform.sml: diff.behav.appendFormula: on Res + equ 2";
neuper@37906	93
neuper@37906	94	fetchProposedTactic 1; (takes Iterator 1 _1_)
neuper@48895	95	(* <ERROR> error in kernel </ERROR> ALREADY IN 2009-2*)
neuper@48895	96	(*========== inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 =============
neuper@37906	97	val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906	98	if tac = Rewrite_Set "Test_simplify" then ()
neuper@38031	99	else error "inform.sml: diff.behav.appendFormula: on Res + equ 3";
neuper@48895	100	============ inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 ============*)
akargl@42209	101
wneuper@59248	102	autoCalculate 1 CompleteCalc;
neuper@37906	103	val ((pt,_),_) = get_calc 1;
neuper@37906	104	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	105	else error "inform.sml: diff.behav.appendFormula: on Res + equ 4";
wneuper@59248	106	(* autoCalculate 1 CompleteCalc;
neuper@37906	107	val ((pt,p),_) = get_calc 1;
neuper@37906	108	(writeln o istates2str) (get_obj g_loc pt [ ]);
neuper@37906	109	(writeln o istates2str) (get_obj g_loc pt [1]);
neuper@37906	110	(writeln o istates2str) (get_obj g_loc pt [2]);
neuper@37906	111	(writeln o istates2str) (get_obj g_loc pt [3]);
neuper@37906	112	(writeln o istates2str) (get_obj g_loc pt [3,1]);
neuper@37906	113	(writeln o istates2str) (get_obj g_loc pt [3,2]);
neuper@37906	114	(writeln o istates2str) (get_obj g_loc pt [4]);
neuper@37906	115
neuper@37906	116	*)
neuper@37906	117	"----------------------------------------------------------";
akargl@42176	118
akargl@42176	119	val fod = make_deriv (@{theory "Isac"}) Atools_erls
neuper@37906	120	((#rules o rep_rls) Test_simplify)
akargl@42176	121	(sqrt_right false (@{theory "Pure"})) NONE
neuper@37906	122	(str2term "x + 1 + -1 * 2 = 0");
neuper@37906	123	(writeln o trtas2str) fod;
neuper@37906	124
akargl@42176	125	val ifod = make_deriv (@{theory "Isac"}) Atools_erls
neuper@37906	126	((#rules o rep_rls) Test_simplify)
akargl@42176	127	(sqrt_right false (@{theory "Pure"})) NONE
neuper@37906	128	(str2term "-2 * 1 + (1 + x) = 0");
neuper@37906	129	(writeln o trtas2str) ifod;
akargl@42176	130	fun equal (_,_,(t1, _)) (_,_,(t2, _)) = t1 = t2;
neuper@37906	131	val (fod', rifod') = dropwhile' equal (rev fod) (rev ifod);
neuper@37906	132	val der = fod' @ (map rev_deriv' rifod');
neuper@37906	133	(writeln o trtas2str) der;
neuper@37906	134	"----------------------------------------------------------";
wneuper@59252	135	DEconstrCalcTree 1;
neuper@37906	136
neuper@37906	137	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	138	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	139	"--------- appendFormula: on Frm + equ_nrls ----------------------";
s1210629013@55445	140	reset_states ();
neuper@41970	141	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	142	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	143	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	144	Iterator 1; moveActiveRoot 1;
wneuper@59248	145	autoCalculate 1 CompleteCalcHead;
wneuper@59248	146	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (x + 1 = 2);
wneuper@59123	147	appendFormula 1 "2+ -1 + x = 2" (\|> Future.join); refFormula 1 (get_pos 1 1);
neuper@37906	148
neuper@37906	149	moveDown 1 ([],Pbl); refFormula 1 ([1],Frm) (x + 1 = 2);
neuper@37906	150
neuper@37906	151	moveDown 1 ([1 ],Frm); refFormula 1 ([1,1],Frm);
neuper@37906	152	moveDown 1 ([1,1],Frm); refFormula 1 ([1,1],Res);
neuper@37906	153	moveDown 1 ([1,1],Res); refFormula 1 ([1,2],Res);
neuper@37906	154	moveDown 1 ([1,2],Res); refFormula 1 ([1,3],Res);
neuper@37906	155	moveDown 1 ([1,3],Res); refFormula 1 ([1,4],Res);
neuper@37906	156	moveDown 1 ([1,4],Res); refFormula 1 ([1,5],Res);
neuper@37906	157	moveDown 1 ([1,5],Res); refFormula 1 ([1,6],Res);
neuper@37906	158	val ((pt,_),_) = get_calc 1;
neuper@37906	159	if "2 + -1 + x = 2" = term2str (fst (get_obj g_result pt [1,6])) then()
neuper@38031	160	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 1";
neuper@37906	161
neuper@37906	162	fetchProposedTactic 1; (takes Iterator 1 _1_)
neuper@37906	163	val (_,(tac,_,_)::_) = get_calc 1;
wneuper@59253	164	case tac of Rewrite_Set "norm_equation" => ()
wneuper@59253	165	\| _ => error "inform.sml: diff.behav.appendFormula: on Frm + equ 2";
wneuper@59248	166	autoCalculate 1 CompleteCalc;
neuper@37906	167	val ((pt,_),_) = get_calc 1;
neuper@37906	168	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	169	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
wneuper@59252	170	DEconstrCalcTree 1;
neuper@37906	171
neuper@37906	172	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	173	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	174	"--------- appendFormula: on Res + NO deriv ----------------------";
s1210629013@55445	175	reset_states ();
neuper@41970	176	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	177	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	178	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	179	Iterator 1; moveActiveRoot 1;
wneuper@59248	180	autoCalculate 1 CompleteCalcHead;
wneuper@59248	181	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	182	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	183
wneuper@59123	184	appendFormula 1 "x = 2" (\|> Future.join);
neuper@37906	185	val ((pt,p),_) = get_calc 1;
wneuper@59279	186	val str = pr_ctree pr_short pt;
neuper@37906	187	writeln str;
neuper@37906	188	if str = ". ----- pblobj -----\n1. x + 1 = 2\n" andalso p = ([1], Res)
neuper@37906	189	then ()
neuper@38031	190	else error "inform.sml: diff.behav.appendFormula: Res + NOder 1";
neuper@37906	191
neuper@37906	192	fetchProposedTactic 1;
neuper@37906	193	val (_,(tac,_,_)::_) = get_calc 1;
wneuper@59253	194	case tac of Rewrite_Set "Test_simplify" => ()
wneuper@59253	195	\| _ => error "inform.sml: diff.behav.appendFormula: Res + NOder 2";
wneuper@59248	196	autoCalculate 1 CompleteCalc;
neuper@37906	197	val ((pt,_),_) = get_calc 1;
neuper@37906	198	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	199	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
wneuper@59252	200	DEconstrCalcTree 1;
neuper@37906	201
neuper@37906	202	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	203	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	204	"--------- appendFormula: on Res + late deriv --------------------";
s1210629013@55445	205	reset_states ();
neuper@41970	206	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	207	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	208	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	209	Iterator 1; moveActiveRoot 1;
wneuper@59248	210	autoCalculate 1 CompleteCalcHead;
wneuper@59248	211	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	212	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	213
wneuper@59123	214	appendFormula 1 "x = 1" (\|> Future.join);
neuper@37906	215	val ((pt,p),_) = get_calc 1;
wneuper@59279	216	val str = pr_ctree pr_short pt;
neuper@37906	217	writeln str;
neuper@37906	218	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	219	then () (finds 1 step too early: ([3,2], Res) "x = 1" also by script !!!)
neuper@38031	220	else error "inform.sml: diff.behav.appendFormula: Res + late d 1";
akargl@42176	221
neuper@37906	222	fetchProposedTactic 1;
neuper@37906	223	val (_,(tac,_,_)::_) = get_calc 1;
wneuper@59253	224	case tac of Check_Postcond ["LINEAR", "univariate", "equation", "test"] => ()
wneuper@59253	225	\| _ => error "inform.sml: diff.behav.appendFormula: Res + late d 2";
wneuper@59248	226	autoCalculate 1 CompleteCalc;
neuper@37906	227	val ((pt,_),_) = get_calc 1;
neuper@37906	228	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	229	else error "inform.sml: diff.behav.appendFormula: Res + late d 3";
wneuper@59252	230	DEconstrCalcTree 1;
neuper@37906	231
neuper@37906	232	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	233	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	234	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
s1210629013@55445	235	reset_states ();
neuper@41970	236	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	237	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	238	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	239	Iterator 1; moveActiveRoot 1;
wneuper@59248	240	autoCalculate 1 CompleteCalcHead;
wneuper@59248	241	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	242	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
wneuper@59123	243	appendFormula 1 "[x = 3 + -21]" (\|> Future.join*);
neuper@37906	244	val ((pt,p),_) = get_calc 1;
wneuper@59279	245	val str = pr_ctree pr_short pt;
neuper@37906	246	writeln str;
neuper@37906	247	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	248	else error "inform.sml: diff.behav.appendFormula: Res + latEE 1";
wneuper@59248	249	autoCalculate 1 CompleteCalc;
neuper@37906	250	val ((pt,p),_) = get_calc 1;
neuper@37906	251	if "[x = 3 + -2 * 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@37906	252	(* ~~~~~~~~~~ simplify as last step in any script ?!*)
neuper@38031	253	else error "inform.sml: diff.behav.appendFormula: Res + latEE 2";
wneuper@59252	254	DEconstrCalcTree 1;
neuper@37906	255
neuper@37906	256	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	257	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	258	"--------- replaceFormula: on Res + = ----------------------------";
s1210629013@55445	259	reset_states ();
neuper@41970	260	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	261	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	262	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	263	Iterator 1; moveActiveRoot 1;
wneuper@59248	264	autoCalculate 1 CompleteCalcHead;
wneuper@59248	265	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	266	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
wneuper@59248	267	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(-1 + x);
neuper@37906	268
neuper@37906	269	replaceFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
neuper@37906	270	val ((pt,_),_) = get_calc 1;
wneuper@59279	271	val str = pr_ctree pr_short pt;
akargl@42176	272
neuper@48895	273	(* before AK110725 this was
neuper@48895	274	". ----- pblobj -----\n
neuper@48895	275	1. x + 1 = 2\n
neuper@48895	276	2. x + 1 + -1 * 2 = 0\n
neuper@48895	277	2.1. x + 1 + -1 * 2 = 0\n
neuper@48895	278	2.2. 1 + x + -1 * 2 = 0\n
neuper@48895	279	2.3. 1 + (x + -1 * 2) = 0\n
neuper@48895	280	2.4. 1 + (x + -2) = 0\n
neuper@48895	281	2.5. 1 + (x + -2 * 1) = 0\n
neuper@48895	282	2.6. 1 + x + -2 * 1 = 0\n";
neuper@48895	283	*)
neuper@48895	284	if str =
neuper@48895	285	". ----- pblobj -----\n"^
neuper@48895	286	"1. x + 1 = 2\n"^
neuper@48895	287	"2. x + 1 + -1 * 2 = 0\n"^
neuper@48895	288	"2.1. x + 1 + -1 * 2 = 0\n"^
neuper@48895	289	"2.2. 1 + x + -1 * 2 = 0\n"^
neuper@48895	290	"2.3. 1 + (x + -1 * 2) = 0\n"^
neuper@48895	291	"2.4. 1 + (x + -2) = 0\n"^
neuper@48895	292	"2.5. 1 + (x + -2 * 1) = 0\n"^
neuper@48895	293	"2.6. 1 + x + -2 * 1 = 0\n" then()
neuper@48895	294	else error "inform.sml: diff.behav.replaceFormula: on Res += 1";
akargl@42176	295
wneuper@59248	296	autoCalculate 1 CompleteCalc;
akargl@42176	297	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	298	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst) (get_obj g_result pt p) then()
neuper@38031	299	else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
wneuper@59252	300	DEconstrCalcTree 1;
neuper@37906	301
neuper@37906	302	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	303	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	304	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
s1210629013@55445	305	reset_states ();
neuper@41970	306	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	307	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	308	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	309	Iterator 1; moveActiveRoot 1;
wneuper@59248	310	autoCalculate 1 CompleteCalcHead;
wneuper@59248	311	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	312	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	313
neuper@37906	314	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	315	val ((pt,_),_) = get_calc 1;
wneuper@59279	316	val str = pr_ctree pr_short pt;
neuper@37906	317	writeln str;
akargl@42176	318	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	319	else error "inform.sml: diff.behav.replaceFormula: on Res 1 + = 1";
wneuper@59248	320	autoCalculate 1 CompleteCalc;
akargl@42176	321	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	322	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031	323	else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
wneuper@59252	324	DEconstrCalcTree 1;
neuper@37906	325
neuper@37906	326	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	327	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	328	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
s1210629013@55445	329	reset_states ();
neuper@41970	330	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	331	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	332	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	333	Iterator 1; moveActiveRoot 1;
wneuper@59248	334	autoCalculate 1 CompleteCalcHead;
wneuper@59248	335	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
neuper@37906	336
neuper@37906	337	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	338	val ((pt,_),_) = get_calc 1;
wneuper@59279	339	val str = pr_ctree pr_short pt;
neuper@37906	340	writeln str;
akargl@42176	341	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	342	else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 1";
wneuper@59248	343	autoCalculate 1 CompleteCalc;
akargl@42176	344	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	345	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031	346	else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 2";
wneuper@59252	347	DEconstrCalcTree 1;
neuper@37906	348
neuper@37906	349	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	350	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	351	"--------- replaceFormula: cut calculation -----------------------";
s1210629013@55445	352	reset_states ();
neuper@41970	353	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	354	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	355	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	356	Iterator 1; moveActiveRoot 1;
wneuper@59248	357	autoCalculate 1 CompleteCalc;
neuper@37906	358	moveActiveRoot 1; moveActiveDown 1;
neuper@37906	359	if get_pos 1 1 = ([1], Frm) then ()
neuper@38031	360	else error "inform.sml: diff.behav. cut calculation 1";
neuper@37906	361
neuper@37906	362	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	363	val ((pt,p),_) = get_calc 1;
wneuper@59279	364	val str = pr_ctree pr_short pt;
neuper@37906	365	writeln str;
neuper@37906	366	if p = ([1], Res) then ()
neuper@38031	367	else error "inform.sml: diff.behav. cut calculation 2";
neuper@37906	368
neuper@37906	369
neuper@37906	370	(* 040307 copied from informtest.sml; ... old version
neuper@37906	371	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	372	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	373	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	374
neuper@37906	375	val p = ([],Pbl);
neuper@37906	376	val elems = ["fixedValues [r=Arbfix]","maximum A","valuesFor [a,b]",
neuper@37906	377	"relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906	378	"relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906	379	"relations [A=ab, a/2=rsin alpha, b/2=r*cos alpha]",
neuper@37906	380	(^^^ these are the elements for the root-problem (in variants))
neuper@37906	381	(vvv these are elements required for subproblems)
neuper@37906	382	"boundVariable a","boundVariable b","boundVariable alpha",
neuper@37906	383	"interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906	384	"interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906	385	"interval {x::real. 0 <= x & x <= pi}",
neuper@37906	386	"errorBound (eps=(0::real))"]
neuper@37906	387	(specifying is not interesting for this example)
neuper@38058	388	val spec = ("DiffApp", ["maximum_of","function"],
neuper@37906	389	["DiffApp","max_by_calculus"]);
neuper@37906	390	(the empty model with descriptions for user-guidance by Model_Problem)
neuper@37906	391	val empty_model = [Given ["fixedValues []"],
neuper@37906	392	Find ["maximum", "valuesFor"],
neuper@37906	393	Relate ["relations []"]];
neuper@37906	394
neuper@37906	395
neuper@37906	396	(!!!!!!!!!!!!!!!!! DON'T USE me FOR FINDING nxt !!!!!!!!!!!!!!!!!!)
neuper@37906	397	val (p,_,f,nxt,_,pt) = CalcTreeTEST [(elems, spec)];
neuper@37906	398	(val nxt = ("Model_Problem", ...)
neuper@37924	399	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	400
neuper@37906	401	val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906	402	(nxt = Add_Given "fixedValues [r = Arbfix]")
neuper@37924	403	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	404	(*[
neuper@37906	405	(0 ,[] ,false ,#Given ,Inc fixedValues [] ,(??.empty, [])),
neuper@37906	406	(0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),
neuper@37906	407	(0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),
neuper@37906	408	(0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))]*)
neuper@37906	409
neuper@37906	410	(the empty CalcHead is checked w.r.t the model and re-established as such)
neuper@37906	411	val (b,pt,ocalhd) = input_icalhd pt (p,"", empty_model, Pbl, e_spec);
neuper@37924	412	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@38031	413	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	414
neuper@37906	415	(there is one input to the model (could be more))
neuper@37906	416	val (b,pt,ocalhd) =
neuper@37906	417	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	418	Find ["maximum", "valuesFor"],
neuper@37906	419	Relate ["relations"]], Pbl, e_spec);
neuper@37924	420	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	421	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	422	else error "informtest.sml: diff.behav. max 2";
neuper@37906	423
neuper@37906	424	(*this input is complete in variant 3, but the ME doesn't recognize FIXXXXME
neuper@37906	425	val (b,pt''''',ocalhd) =
neuper@37906	426	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	427	Find ["maximum A", "valuesFor [a,b]"],
neuper@37906	428	Relate ["relations [A=ab, a/2=rsin alpha, \
neuper@37906	429	\b/2=r*cos alpha]"]], Pbl, e_spec);
neuper@37924	430	val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	431	if ocalhd2str ocalhd = ------------^^^^^^^^^^ missing !!!*)
neuper@37906	432
neuper@37906	433	(this input is complete in variant 1 (variant 3 does not work yet))
neuper@37906	434	val (b,pt''''',ocalhd) =
neuper@37906	435	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	436	Find ["maximum A", "valuesFor [a,b]"],
neuper@37906	437	Relate ["relations [A=a*b, \
neuper@37906	438	\(a/2)^^^2 + (b/2)^^^2 = r^^^2]"]],
neuper@37906	439	Pbl, e_spec);
neuper@37924	440	val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	441
neuper@37906	442	modifycalcheadOK2xml 111 (bool2str b) ocalhd;
neuper@37906	443	*)
wneuper@59252	444	DEconstrCalcTree 1;
neuper@37906	445
neuper@37906	446	"--------- syntax error ------------------------------------------";
neuper@37906	447	"--------- syntax error ------------------------------------------";
neuper@37906	448	"--------- syntax error ------------------------------------------";
s1210629013@55445	449	reset_states ();
neuper@41970	450	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	451	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	452	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	453	Iterator 1; moveActiveRoot 1;
wneuper@59248	454	autoCalculate 1 CompleteCalcHead;
wneuper@59248	455	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	456	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	457
neuper@37906	458	appendFormula 1 " x - "; (<ERROR> syntax error in ' x - ' </ERROR>)
neuper@37906	459	val ((pt,_),_) = get_calc 1;
wneuper@59279	460	val str = pr_ctree pr_short pt;
neuper@37906	461	writeln str;
neuper@37906	462	if str = ". ----- pblobj -----\n1. x + 1 = 2\n" then ()
neuper@38031	463	else error "inform.sml: diff.behav.appendFormula: syntax error";
wneuper@59252	464	DEconstrCalcTree 1;
neuper@37906	465
neuper@37906	466	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	467	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	468	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	469	val (p,_,f,nxt,_,pt) =
neuper@37906	470	CalcTreeTEST [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	471	val ifo = "solve(x+1=2,x)";
neuper@37906	472	val (_,(_,c,(pt,p))) = inform ([],[],(pt,p)) "solve(x+1=2,x)";
neuper@37906	473	show_pt pt;
neuper@37906	474	val nxt = ("Apply_Method",Apply_Method ["Test","squ-equ-test-subpbl1"]);
neuper@37906	475	val (p,_,f,nxt,_,pt) = me nxt p [] pt;
neuper@37906	476	if p = ([1], Frm) andalso f2str f = "x + 1 = 2" then ()
neuper@38031	477	else error "inform.sml: diff.behav. CAScmd ([],Pbl)";
wneuper@59252	478	DEconstrCalcTree 1;
neuper@37906	479
neuper@37906	480	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	481	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	482	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
s1210629013@55445	483	reset_states ();
neuper@37906	484	CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	485	Iterator 1;
neuper@37906	486	moveActiveRoot 1;
neuper@37906	487	replaceFormula 1 "solve(x+1=2,x)";
wneuper@59248	488	autoCalculate 1 CompleteCalc;
neuper@37906	489	val ((pt,p),_) = get_calc 1;
neuper@37906	490	show_pt pt;
neuper@37906	491	if p = ([], Res) then ()
neuper@38031	492	else error "inform.sml: diff.behav. CAScmd ([],Pbl) FE-interface";
wneuper@59252	493	DEconstrCalcTree 1;
neuper@37906	494
neuper@37906	495	"--------- inform [rational,simplification] ----------------------";
neuper@37906	496	"--------- inform [rational,simplification] ----------------------";
neuper@37906	497	"--------- inform [rational,simplification] ----------------------";
s1210629013@55445	498	reset_states ();
neuper@52105	499	CalcTree [(["Term (a * x / (b * x) + c * x / (d * x) + e / f)", "normalform N"],
neuper@52105	500	("Rational", ["rational", "simplification"], ["simplification", "of_rationals"]))];
neuper@37906	501	Iterator 1; moveActiveRoot 1;
wneuper@59248	502	autoCalculate 1 CompleteCalcHead;
neuper@52105	503
neuper@52105	504	"--- (-1) give a preview on the calculation without any input";
neuper@52105	505	(*
wneuper@59248	506	autoCalculate 1 CompleteCalc;
neuper@52105	507	val ((pt, p), _) = get_calc 1;
neuper@52105	508	show_pt pt;
neuper@52105	509	[
neuper@52105	510	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	511	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	512	(([1], Res), a / b + c / d + e / f), <--- (1) input arbitrary
neuper@52105	513	(([2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	514	(([3], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	515	(([4], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)), <--- (2) input next
neuper@52105	516	(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))] <--- (3) is also final result
neuper@52105	517	EXAMPLE NOT OPTIMAL
neuper@52105	518	*)
neuper@52105	519	"--- (0) user input as the first step does not work, thus impdo at least 1 step";
wneuper@59248	520	autoCalculate 1 (Step 1);
wneuper@59248	521	autoCalculate 1 (Step 1);
neuper@52105	522	val ((pt, p), _) = get_calc 1;
neuper@52105	523	(*show_pt pt;
neuper@52105	524	[
neuper@52105	525	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	526	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	527	(([1], Res), a / b + c / d + e / f)]
neuper@52105	528	*)
neuper@52105	529	"--- (1) input an arbitrary next formula";
wneuper@59123	530	appendFormula 1 "((a * d) + (c * b)) / (b * d) + e / f" (\|> Future.join);
neuper@52105	531	val ((pt, p), _) = get_calc 1;
neuper@52105	532	(*show_pt pt;
neuper@52105	533	[
neuper@52105	534	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	535	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	536	(([1], Res), a / b + c / d + e / f),
neuper@52105	537	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	538	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	539	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	540	(([2], Res), (a * d + c * b) / (b * d) + e / f)]
neuper@52105	541	*)
neuper@37906	542	val ((pt,p),_) = get_calc 1;
neuper@52105	543	if p = ([2], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031	544	else error ("inform.sml: [rational,simplification] 1");
neuper@37906	545
neuper@52105	546	"--- (2) input the next formula that would be presented by mat-engine";
neuper@52105	547	(* generate a preview:
wneuper@59248	548	autoCalculate 1 (Step 1);
neuper@52105	549	val ((pt, p), _) = get_calc 1;
neuper@52105	550	show_pt pt;
neuper@52105	551	[
neuper@52105	552	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	553	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	554	(([1], Res), a / b + c / d + e / f),
neuper@52105	555	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	556	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	557	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	558	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	559	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))] <--- input this
neuper@52105	560	*)
wneuper@59123	561	appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (\|> Future.join);
neuper@52105	562	val ((pt, p), _) = get_calc 1;
neuper@52105	563	(*show_pt pt;
neuper@52105	564	[
neuper@52105	565	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	566	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	567	(([1], Res), a / b + c / d + e / f),
neuper@52105	568	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	569	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	570	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	571	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	572	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
neuper@52105	573	*)
neuper@52105	574	if p = ([3], Res) andalso (length o children o (get_nd pt)) (fst p) = 0 then ()
neuper@38031	575	else error ("inform.sml: [rational,simplification] 2");
neuper@37906	576
neuper@52105	577	"--- (3) input the exact final result";
wneuper@59123	578	appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (\|> Future.join);
neuper@52105	579	val ((pt, p), _) = get_calc 1;
neuper@52105	580	(*show_pt pt;
neuper@52105	581	[
neuper@52105	582	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	583	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	584	(([1], Res), a / b + c / d + e / f),
neuper@52105	585	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	586	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	587	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	588	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	589	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	590	(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	591	(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	592	(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	593	(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
neuper@52105	594	*)
neuper@52105	595	if p = ([4], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031	596	else error ("inform.sml: [rational,simplification] 3");
neuper@52105	597
neuper@52105	598	"--- (4) finish the calculation + check the postcondition (in the future)";
wneuper@59248	599	autoCalculate 1 CompleteCalc;
neuper@52105	600	val ((pt, p), _) = get_calc 1;
neuper@52105	601	val (t, asm) = get_obj g_result pt [];
neuper@52105	602	if term2str t = "(a * d * f + b * c * f + b * d * e) / (b * d * f)" andalso
neuper@52105	603	terms2str asm = "[\"b * d * f ~= 0\",\"d ~= 0\",\"b ~= 0\"," ^
neuper@52105	604	"\"a * x / (b * x) + c * x / (d * x) + e / f is_ratpolyexp\"]"
neuper@52105	605	then () else error "inform [rational,simplification] changed at end";
neuper@52105	606	(*show_pt pt;
neuper@52105	607	[
neuper@52105	608	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	609	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	610	(([1], Res), a / b + c / d + e / f),
neuper@52105	611	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	612	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	613	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	614	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	615	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	616	(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	617	(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	618	(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	619	(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	620	(([5], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	621	(([6], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)),
neuper@52105	622	(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))]
neuper@52105	623	*)
wneuper@59252	624	DEconstrCalcTree 1;
neuper@37906	625
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	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	629	val t = str2term "Diff (x^^^2 + x + 1, x)";
neuper@37906	630	case t of Const ("Diff.Diff", _) $ _ => ()
neuper@37906	631	\| _ => raise
neuper@37906	632	error "diff.sml behav.changed for CAS Diff (..., x)";
neuper@37906	633	atomty t;
neuper@37906	634	"-----------------------------------------------------------------";
s1210629013@55445	635	(1>)reset_states ();
neuper@37906	636	(2>)CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	637	(3>)Iterator 1;moveActiveRoot 1;
neuper@37906	638	"----- here the Headline has been finished";
neuper@37906	639	(4>)moveActiveFormula 1 ([],Pbl);
neuper@37906	640	(5>)replaceFormula 1 "Diff (x^2 + x + 1, x)";
neuper@37906	641	val ((pt,_),_) = get_calc 1;
neuper@37906	642	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	643	val NONE = env;
neuper@37926	644	val (SOME istate, NONE) = loc;
wneuper@59111	645	default_print_depth 5;
neuper@37906	646	writeln"-----------------------------------------------------------";
neuper@37906	647	spec;
neuper@37924	648	writeln (itms2str_ ctxt probl);
neuper@37924	649	writeln (itms2str_ ctxt meth);
neuper@48895	650	writeln (istate2str (fst istate));
neuper@37906	651
neuper@37906	652	refFormula 1 ([],Pbl) (--> correct CalcHead);
neuper@37906	653	(081016 NOT necessary (but leave it in Java):)
wneuper@59248	654	(6>)(completeCalcHead)autoCalculate 1 CompleteCalcHead;
neuper@37906	655	"----- here the CalcHead has been completed --- ONCE MORE ?????";
neuper@37906	656
neuper@37906	657	(*difference II*)
neuper@37906	658	val ((pt,p),_) = get_calc 1;
neuper@37906	659	(val p = ([], Pbl))
neuper@37906	660	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	661	val NONE = env;
neuper@37926	662	val (SOME istate, NONE) = loc;
wneuper@59111	663	default_print_depth 5; writeln (istate2str (fst istate)); default_print_depth 3;
neuper@37906	664	(*ScrState ([],
neuper@37926	665	[], NONE,
neuper@37906	666	??.empty, Sundef, false)*)
wneuper@59111	667	default_print_depth 5; spec; default_print_depth 3;
neuper@38050	668	(*("Isac",
neuper@37906	669	["derivative_of", "function"],
neuper@37906	670	["diff", "differentiate_on_R"]) : spec*)
neuper@37924	671	writeln (itms2str_ ctxt probl);
neuper@37906	672	(*[
neuper@37906	673	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	674	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	675	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924	676	writeln (itms2str_ ctxt meth);
neuper@37906	677	(*[
neuper@37906	678	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	679	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	680	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906	681	writeln"-----------------------------------------------------------";
neuper@37906	682	(7>)fetchProposedTactic 1 (--> Apply_Method);
neuper@37906	683	(WN081028 fixed <ERROR> helpless </ERROR> by inform returning ...(.,Met))
wneuper@59248	684	autoCalculate 1 CompleteCalc;
neuper@37906	685	val ((pt,p),_) = get_calc 1;
neuper@37906	686	val Form res = (#1 o pt_extract) (pt, ([],Res));
neuper@37906	687	show_pt pt;
neuper@37906	688	if p = ([], Res) andalso term2str res = "1 + 2 * x" then ()
neuper@38031	689	else error "diff.sml behav.changed for Diff (x^2 + x + 1, x)";
wneuper@59252	690	DEconstrCalcTree 1;
neuper@37906	691
neuper@37906	692	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	693	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	694	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	695	(*the following input is copied from BridgeLog Java <==> SML,
neuper@37906	696	omitting unnecessary inputs*)
s1210629013@55445	697	(1>)reset_states ();
akargl@42176	698	(2>)CalcTree [(["functionTerm (x^2 + x + 1)", "differentiateFor x", "derivative f_'_f"],("Isac",["derivative_of","function"],["diff","differentiate_on_R"]))];
neuper@37906	699	(3>)Iterator 1; moveActiveRoot 1;
neuper@37906	700
wneuper@59248	701	(6>)(completeCalcHead)autoCalculate 1 CompleteCalcHead;
neuper@37906	702	(*difference II*)
neuper@37906	703	val ((pt,_),_) = get_calc 1;
neuper@37906	704	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	705	val NONE = env;
neuper@37926	706	val (SOME istate, NONE) = loc;
wneuper@59111	707	default_print_depth 5; writeln (istate2str (fst istate)); default_print_depth 3;
neuper@37906	708	(*ScrState ([],
neuper@37926	709	[], NONE,
neuper@37906	710	??.empty, Sundef, false)*)
wneuper@59111	711	default_print_depth 5; spec; default_print_depth 3;
neuper@38050	712	(*("Isac",
neuper@37906	713	["derivative_of", "function"],
neuper@37906	714	["diff", "differentiate_on_R"]) : spec*)
neuper@37924	715	writeln (itms2str_ ctxt probl);
neuper@37906	716	(*[
neuper@37906	717	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	718	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	719	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924	720	writeln (itms2str_ ctxt meth);
neuper@37906	721	(*[
neuper@37906	722	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	723	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	724	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906	725	writeln"-----------------------------------------------------------";
neuper@37906	726	(7>)fetchProposedTactic 1 (--> Apply_Method);
wneuper@59248	727	autoCalculate 1 (Step 1);
neuper@37906	728	val ((pt,p),_) = get_calc 1;
neuper@37906	729	val Form res = (#1 o pt_extract) (pt, p);
neuper@37906	730	if term2str res = "d_d x (x ^^^ 2 + x + 1)" then ()
neuper@38031	731	else error "diff.sml Diff (x^2 + x + 1, x) from exp";
wneuper@59252	732	DEconstrCalcTree 1;
neuper@37906	733
neuper@37906	734	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906	735	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906	736	"--------- init_form, start with <NEW> (CAS input) ---------------";
s1210629013@55445	737	reset_states ();
neuper@37906	738	CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	739	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	740	[[from sml: 1
neuper@37906	741	[[from sml: <CALCTREE>
neuper@37906	742	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	743	[[from sml: </CALCTREE>
neuper@37906	744	[[from sml: @@@@@end@@@@@*)
neuper@37906	745	Iterator 1;
neuper@37906	746	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	747	[[from sml: 1
neuper@37906	748	[[from sml: <ADDUSER>
neuper@37906	749	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	750	[[from sml: <USERID> 1 </USERID>
neuper@37906	751	[[from sml: </ADDUSER>
neuper@37906	752	[[from sml: @@@@@end@@@@@*)
neuper@37906	753	moveActiveRoot 1;
neuper@37906	754	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	755	[[from sml: 1
neuper@37906	756	[[from sml: <CALCITERATOR>
neuper@37906	757	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	758	[[from sml: <POSITION>
neuper@37906	759	[[from sml: <INTLIST>
neuper@37906	760	[[from sml: </INTLIST>
neuper@37906	761	[[from sml: <POS> Pbl </POS>
neuper@37906	762	[[from sml: </POSITION>
neuper@37906	763	[[from sml: </CALCITERATOR>
neuper@37906	764	[[from sml: @@@@@end@@@@@*)
neuper@37906	765	getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false;
neuper@37906	766	(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
neuper@37906	767	[[from sml: 1
neuper@37906	768	[[from sml: <GETELEMENTSFROMTO>
neuper@37906	769	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	770	[[from sml: <FORMHEADS>
neuper@37906	771	[[from sml: <CALCFORMULA>
neuper@37906	772	[[from sml: <POSITION>
neuper@37906	773	[[from sml: <INTLIST>
neuper@37906	774	[[from sml: </INTLIST>
neuper@37906	775	[[from sml: <POS> Pbl </POS>
neuper@37906	776	[[from sml: </POSITION>
neuper@37906	777	[[from sml: <FORMULA>
neuper@37906	778	[[from sml: <MATHML>
neuper@37906	779	[[from sml: <ISA> ________________________________________________ </ISA>
neuper@37906	780	[[from sml: </MATHML>
neuper@37906	781	[[from sml:
neuper@37906	782	[[from sml: </FORMULA>
neuper@37906	783	[[from sml: </CALCFORMULA>
neuper@37906	784	[[from sml: </FORMHEADS>
neuper@37906	785	[[from sml: </GETELEMENTSFROMTO>
neuper@37906	786	[[from sml: @@@@@end@@@@@*)
neuper@37906	787	refFormula 1 ([],Pbl);
neuper@37906	788	(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
neuper@37906	789	[[from sml: 1
neuper@37906	790	[[from sml: <REFFORMULA>
neuper@37906	791	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	792	[[from sml: <CALCHEAD status = "incorrect">
neuper@37906	793	[[from sml: <POSITION>
neuper@37906	794	[[from sml: <INTLIST>
neuper@37906	795	[[from sml: </INTLIST>
neuper@37906	796	[[from sml: <POS> Pbl </POS>
neuper@37906	797	[[from sml: </POSITION>
neuper@37906	798	[[from sml: <HEAD>
neuper@37906	799	[[from sml: <MATHML>
neuper@37906	800	[[from sml: <ISA> Problem (e_domID, [e_pblID]) </ISA>
neuper@37906	801	[[from sml: </MATHML>
neuper@37906	802	[[from sml: </HEAD>
neuper@37906	803	[[from sml: <MODEL>
neuper@37906	804	[[from sml: <GIVEN> </GIVEN>
neuper@37906	805	[[from sml: <WHERE> </WHERE>
neuper@37906	806	[[from sml: <FIND> </FIND>
neuper@37906	807	[[from sml: <RELATE> </RELATE>
neuper@37906	808	[[from sml: </MODEL>
neuper@37906	809	[[from sml: <BELONGSTO> Pbl </BELONGSTO>
neuper@37906	810	[[from sml: <SPECIFICATION>
neuper@37906	811	[[from sml: <THEORYID> e_domID </THEORYID>
neuper@37906	812	[[from sml: <PROBLEMID>
neuper@37906	813	[[from sml: <STRINGLIST>
neuper@37906	814	[[from sml: <STRING> e_pblID </STRING>
neuper@37906	815	[[from sml: </STRINGLIST>
neuper@37906	816	[[from sml: </PROBLEMID>
neuper@37906	817	[[from sml: <METHODID>
neuper@37906	818	[[from sml: <STRINGLIST>
neuper@37906	819	[[from sml: <STRING> e_metID </STRING>
neuper@37906	820	[[from sml: </STRINGLIST>
neuper@37906	821	[[from sml: </METHODID>
neuper@37906	822	[[from sml: </SPECIFICATION>
neuper@37906	823	[[from sml: </CALCHEAD>
neuper@37906	824	[[from sml: </REFFORMULA>
neuper@37906	825	[[from sml: @@@@@end@@@@@*)
neuper@37906	826	moveActiveFormula 1 ([],Pbl);
neuper@37906	827	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	828	[[from sml: 1
neuper@37906	829	[[from sml: <CALCITERATOR>
neuper@37906	830	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	831	[[from sml: <POSITION>
neuper@37906	832	[[from sml: <INTLIST>
neuper@37906	833	[[from sml: </INTLIST>
neuper@37906	834	[[from sml: <POS> Pbl </POS>
neuper@37906	835	[[from sml: </POSITION>
neuper@37906	836	[[from sml: </CALCITERATOR>
neuper@37906	837	[[from sml: @@@@@end@@@@@*)
neuper@37906	838	replaceFormula 1 "Simplify (1+2)";
neuper@37906	839	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	840	[[from sml: 1
neuper@37906	841	[[from sml: <REPLACEFORMULA>
neuper@37906	842	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	843	[[from sml: <CALCCHANGED>
neuper@37906	844	[[from sml: <UNCHANGED>
neuper@37906	845	[[from sml: <INTLIST>
neuper@37906	846	[[from sml: </INTLIST>
neuper@37906	847	[[from sml: <POS> Pbl </POS>
neuper@37906	848	[[from sml: </UNCHANGED>
neuper@37906	849	[[from sml: <DELETED>
neuper@37906	850	[[from sml: <INTLIST>
neuper@37906	851	[[from sml: </INTLIST>
neuper@37906	852	[[from sml: <POS> Pbl </POS>
neuper@37906	853	[[from sml: </DELETED>
neuper@37906	854	[[from sml: <GENERATED>
neuper@37906	855	[[from sml: <INTLIST>
neuper@37906	856	[[from sml: </INTLIST>
neuper@37906	857	[[from sml: <POS> Met </POS> DIFFERENCE: Pbl
neuper@37906	858	[[from sml: </GENERATED>
neuper@37906	859	[[from sml: </CALCCHANGED>
neuper@37906	860	[[from sml: </REPLACEFORMULA>
neuper@37906	861	[[from sml: @@@@@end@@@@@*)
neuper@37906	862	getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false(* DIFFERENCE: Pbl*);
neuper@37906	863	(*@@@@@begin@@@@@
neuper@37906	864	1
neuper@37906	865	<GETELEMENTSFROMTO>
neuper@37906	866	<CALCID> 1 </CALCID>
neuper@37906	867	<FORMHEADS>
neuper@37906	868	<CALCFORMULA>
neuper@37906	869	<POSITION>
neuper@37906	870	<INTLIST>
neuper@37906	871	</INTLIST>
neuper@37906	872	<POS> Pbl </POS>
neuper@37906	873	</POSITION>
neuper@37906	874	<FORMULA>
neuper@37906	875	<MATHML>
neuper@37906	876	<ISA> Simplify (1 + 2) </ISA> WORKS !!!!!
neuper@37906	877	</MATHML>
neuper@37906	878	</FORMULA>
neuper@37906	879	</CALCFORMULA>
neuper@37906	880	</FORMHEADS>
neuper@37906	881	</GETELEMENTSFROMTO>
neuper@37906	882	@@@@@end@@@@@*)
neuper@37906	883	getFormulaeFromTo 1 ([],Pbl) ([],Met) 0 false;
neuper@37906	884	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	885	[[from sml: 1
neuper@37906	886	[[from sml: <SYSERROR>
neuper@37906	887	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	888	[[from sml: <ERROR> error in getFormulaeFromTo </ERROR>
neuper@37906	889	[[from sml: </SYSERROR>
neuper@37906	890	[[from sml: @@@@@end@@@@@*)
neuper@37906	891	(step into getFormulaeFromTo --- bug corrected...)
neuper@42423	892
neuper@42423	893	"--------- build fun check_err_patt ------------------------------";
neuper@42423	894	"--------- build fun check_err_patt ------------------------------";
neuper@42423	895	"--------- build fun check_err_patt ------------------------------";
neuper@42426	896	val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42423	897	val rls = norm_Rational
neuper@42423	898	val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423	899	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42423	900	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "1 / 2");
neuper@42423	901
neuper@42426	902	val (res', _, _, rewritten) = (rewritten: the lhs of the pattern matches in res)
neuper@42423	903	rew_sub thy 1 [] e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42423	904	if rewritten then NONE else SOME "e_errpatID";
neuper@42423	905
neuper@42423	906	val norm_res = case rewrite_set_ (Isac()) false rls res' of
neuper@42423	907	NONE => res'
neuper@42423	908	\| SOME (norm_res, _) => norm_res
neuper@42423	909
neuper@42423	910	val norm_inf = case rewrite_set_ (Isac()) false rls inf of
neuper@42423	911	NONE => inf
neuper@42423	912	\| SOME (norm_inf, _) => norm_inf;
neuper@42423	913
neuper@42423	914	res' = inf;
neuper@42423	915	norm_res = norm_inf;
neuper@42423	916
neuper@42423	917	val pat = parse_patt @{theory} "(?a + ?b)/?a = ?b";
neuper@42423	918	val (res, inf) = (str2term "(2 + 3)/2", str2term "3");
neuper@42426	919	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	920	then () else error "error patt example1 changed";
neuper@42423	921
neuper@42423	922	val pat = parse_patt @{theory} "(?a + ?b)/(?a + ?c) = ?b / ?c";
neuper@42423	923	val (res, inf) = (str2term "(2 + 3)/(2 + 4)", str2term "3 / 4");
neuper@42426	924	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	925	then () else error "error patt example2 changed";
neuper@42423	926
neuper@42423	927	val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423	928	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42426	929	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	930	then () else error "error patt example3 changed";
neuper@42423	931
neuper@42423	932	val inf = str2term "1 / 2";
neuper@42426	933	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	934	then () else error "error patt example3 changed";
neuper@42423	935
neuper@42426	936	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	937	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	938	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	939	val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42426	940	val t = str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))";
neuper@42426	941	val SOME (t, _) = rewrite_set_inst_ thy false subst norm_diff t;
neuper@42426	942	if term2str t = "2 * x + cos (x ^^^ 4) * 4 * x ^^^ 3" then ()
neuper@42426	943	else error "build fun check_err_patt ?bdv changed 1";
neuper@42423	944
neuper@42426	945	val rls = norm_diff
neuper@42426	946	val pat = parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)";
neuper@42426	947	val (res, inf) = (str2term "2 * x + d_d x (sin (x ^^^ 4))", str2term "2 * x + cos (4 * x ^^^ 3)");
neuper@42426	948
neuper@42426	949	val (res', _, _, rewritten) = (rewritten: the lhs of the pattern matches in res)
neuper@42426	950	rew_sub thy 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42426	951	if term2str res' = "2 * x + cos (d_d x (x ^^^ 4))" andalso rewritten then ()
neuper@42426	952	else error "build fun check_err_patt ?bdv changed 2";
neuper@42426	953
neuper@42426	954	val norm_res = case rewrite_set_inst_ (Isac()) false subst rls res' of
neuper@42426	955	NONE => res'
neuper@42426	956	\| SOME (norm_res, _) => norm_res;
neuper@42426	957	if term2str norm_res = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426	958	else error "build fun check_err_patt ?bdv changed 3";
neuper@42426	959
neuper@42426	960	val norm_inf = case rewrite_set_inst_ (Isac()) false subst rls inf of
neuper@42426	961	NONE => inf
neuper@42426	962	\| SOME (norm_inf, _) => norm_inf;
neuper@42426	963	if term2str norm_inf = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426	964	else error "build fun check_err_patt ?bdv changed 4";
neuper@42426	965
neuper@42426	966	res' = inf;
neuper@42426	967	if norm_res = norm_inf then ()
neuper@42426	968	else error "build fun check_err_patt ?bdv changed 5";
neuper@42426	969
neuper@42426	970	if check_err_patt (res, inf) (subst: subst) ("errpatID": errpatID, pat) rls = SOME "errpatID"
neuper@42426	971	then () else error "error patt example1 changed";
neuper@42426	972
neuper@42428	973	"--------- build fun check_error_patterns ------------------------";
neuper@42428	974	"--------- build fun check_error_patterns ------------------------";
neuper@42428	975	"--------- build fun check_error_patterns ------------------------";
neuper@42428	976	val (res, inf) =
neuper@42428	977	(str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))",
neuper@42428	978	str2term "d_d x (x ^^^ 2) + cos (4 * x ^^^ 3)");
neuper@48790	979	val {errpats, nrls = rls, scr = Prog prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@42426	980
neuper@42428	981	val env = [(str2term "v_v", str2term "x")];
neuper@42428	982	val errpats =
neuper@42428	983	[e_errpat, (generalised for testing)
neuper@42428	984	("chain-rule-diff-both",
neuper@42428	985	[parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)",
neuper@42428	986	parse_patt @{theory} "d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)",
neuper@42428	987	parse_patt @{theory} "d_d ?bdv (?u ^^^ ?n) = ?n * ?u ^^^ (?n - 1)",
neuper@42428	988	parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / ?u",
neuper@42428	989	parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u"],
neuper@42428	990	[@{thm diff_sin_chain}, @{thm diff_cos_chain}, @{thm diff_pow_chain},
neuper@42428	991	@{thm diff_ln_chain}, @{thm diff_exp_chain}])]: errpat list;
neuper@42428	992	case check_error_patterns (res, inf) (prog, env) (errpats, rls) of SOME _ => ()
neuper@42428	993	\| NONE => error "check_error_patterns broken";
wneuper@59252	994	DEconstrCalcTree 1;
neuper@42428	995
neuper@42428	996	"--------- embed fun check_error_patterns ------------------------";
neuper@42428	997	"--------- embed fun check_error_patterns ------------------------";
neuper@42428	998	"--------- embed fun check_error_patterns ------------------------";
s1210629013@55445	999	reset_states ();
neuper@42428	1000	CalcTree
neuper@42428	1001	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42428	1002	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42428	1003	Iterator 1;
neuper@42428	1004	moveActiveRoot 1;
wneuper@59248	1005	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1006	autoCalculate 1 (Step 1);
wneuper@59248	1007	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59248	1008	(autoCalculate 1 (Step 1);([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) d_d x (x ^^^ 4)*)
neuper@42428	1009
neuper@42428	1010	"~~~~~ fun appendFormula, args:"; val (cI, (ifo:cterm')) = (1, "d_d x (x ^ 2) + cos (4 * x ^ 3)");
neuper@42428	1011	val cs = get_calc cI
neuper@42428	1012	val pos as (_,p_) = get_pos cI 1; (pos = ([1], Res))
neuper@42428	1013	val cs' =
neuper@42428	1014	case step pos cs of
neuper@42428	1015	("ok", cs') => cs';
neuper@42428	1016
neuper@42428	1017	val (_, _, (pt, ([2], Res))) = cs';
neuper@42428	1018	(*show_pt pt;
neuper@42428	1019	[(([], Frm), Diff (x ^^^ 2 + sin (x ^^^ 4), x)),
neuper@42428	1020	(([1], Frm), d_d x (x ^^^ 2 + sin (x ^^^ 4))),
neuper@42428	1021	(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))), <<=== input follos: "...+ cos(4.x^3)"
neuper@42428	1022	(([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4))] *)
neuper@42428	1023
neuper@42428	1024	"~~~~~ fun inform, args:"; val ((cs as (_, _, ptp as (pt, pos as (p, p_))): calcstate'), istr) =
neuper@42428	1025	(cs', (encode ifo));
neuper@42428	1026	val SOME f_in = parse (assoc_thy "Isac") istr
wneuper@59188	1027	val f_in = Thm.term_of f_in
neuper@42428	1028	val pos_pred = lev_back' pos
neuper@42428	1029	(* f_pred ---"step pos cs"---> f_succ in appendFormula
neuper@42428	1030	TODO.WN120517: one starting point for redesign of pos' *)
neuper@42432	1031	val (f_pred, f_succ) = (get_curr_formula (pt, pos_pred), get_curr_formula (pt, pos));
neuper@42428	1032
neuper@42428	1033	term2str f_pred = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))";
neuper@42428	1034	term2str f_succ = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)";
neuper@42428	1035
neuper@42428	1036	f_succ = f_in; (* = false*)
neuper@42428	1037	cas_input f_in; (* = NONE*)
neuper@42428	1038	val msg_calcstate' = compare_step ([], [], (pt, pos_pred)) f_in
neuper@42428	1039	val ("no derivation found", calcstate') = msg_calcstate';
neuper@42428	1040	val pp = par_pblobj pt p
neuper@48790	1041	val {errpats, nrls, scr = Prog prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42428	1042	val ScrState (env, _, _, _, _, _) = get_istate pt pos;
neuper@42428	1043	case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428	1044	SOME errpatID => ("error pattern #" ^ errpatID ^ "#", calcstate')
neuper@42428	1045	\| NONE => msg_calcstate';
neuper@42428	1046
neuper@42428	1047	"~~~~~ from inform return val:"; val () = ();
neuper@42428	1048	case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428	1049	SOME errpatID => ()
neuper@42428	1050	\| NONE => error "check_error_patterns broken";
neuper@42428	1051
neuper@42428	1052	"--- final check:";
neuper@42428	1053	case inform cs' (encode ifo) of
neuper@42428	1054	("error pattern #chain-rule-diff-both#", calcstate') => ()
neuper@42428	1055	\| _ => error "inform with (positive) check_error_patterns broken"
neuper@42428	1056
neuper@48895	1057	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1058	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1059	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1060	(*cause for this test was: wrong thy in Build_Thydata.thy in
neuper@48895	1061	insert_fillpats ["IsacKnowledge", "Diff", "Theorems", "diff_sin_chain"]*)
neuper@48895	1062	val f_curr = str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"
neuper@48895	1063	val errpatID = "chain-rule-diff-both"
neuper@48895	1064	val {errpats, scr = Prog prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@48895	1065	val env =
neuper@48895	1066	[(str2term "f_f", str2term "x ^^^ 2 + sin (x ^^^ 4)"),
neuper@48895	1067	(str2term "v_v", str2term "x"),
neuper@48895	1068	(str2term "f_f'", str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))")]
neuper@48895	1069	val subst = get_bdv_subst prog env
neuper@48895	1070	val errpatthms = errpats
neuper@48895	1071	\|> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@48895	1072	\|> map (#3: errpat -> thm list)
neuper@48895	1073	\|> flat;
neuper@48895	1074	"~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@48895	1075	(subst, f_curr, errpatID, hd (simulate beginning of "map") errpatthms);
neuper@48895	1076	val thmDeriv = Thm.get_name_hint thm
neuper@48895	1077	val (part, thyID) = thy_containing_thm thmDeriv
neuper@48895	1078	val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@48895	1079	val Hthm {fillpats, ...} = get_the theID
neuper@48895	1080	val some = map (get_fillform subst (thm, form) errpatID) fillpats;
neuper@48895	1081	"~~~~~ fun get_fillform, args:";
neuper@48895	1082	val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
neuper@48895	1083	(subst, (thm, form), errpatID, hd (simulate beginning of "map") fillpats);
neuper@48895	1084	val (form', _, _, rewritten) =
neuper@48895	1085	rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@48895	1086	"~~~~~ fun rew_sub, args:"; val (thy, i, bdv, tless, rls, put_asm, lrd:lrd list, r, t) =
neuper@48895	1087	((Isac()), 1, subst, e_rew_ord, e_rls, false, [], (Trueprop $ pat), form);
neuper@48895	1088	val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop
neuper@48895	1089	o Logic.strip_imp_concl) r;
neuper@48895	1090	(/-------------catch the planned exception)
neuper@48895	1091	(let
neuper@48895	1092	val r' = Envir.subst_term (Pattern.match thy (lhs, t)
neuper@48895	1093	(Vartab.empty, Vartab.empty)) r;
neuper@48895	1094	in 111 end
neuper@48895	1095	) handle PATTERN (because only a subterm matches) => 111;
neuper@48895	1096	case t of t1 $ t2 =>
neuper@48895	1097	let val (t2', asm2, lrd, rew2) = rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2
neuper@48895	1098	in
neuper@48895	1099	if rew2 then (t1 $ t2', asm2, lrd, true) else
neuper@48895	1100	let val (t1', asm1, lrd, rew1) = rew_sub thy i bdv tless rls put_asm (lrd@[L]) r t1
neuper@48895	1101	in if rew1 then (t1' $ t2, asm1, lrd, true) else (t1 $ t2,[], lrd, false) end
neuper@48895	1102	end;
neuper@48895	1103	(catch the planned exception-------------/)
neuper@48895	1104
neuper@48895	1105	val t1 $ t2 = t;
neuper@48895	1106	val (t2', asm2, lrd, rew2) = rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2;
neuper@48895	1107	"~~~~~ fun rew_sub, args:"; val (thy, i, bdv, tless, rls, put_asm, lrd:lrd list, r, t) =
neuper@48895	1108	(thy, i, bdv, tless, rls, put_asm, (lrd@[R]), r, t2);
neuper@48895	1109	val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl) r;
neuper@48895	1110	val r' = Envir.subst_term (Pattern.match thy (lhs, t) (Vartab.empty, Vartab.empty)) r;
neuper@48895	1111	val p' = map HOLogic.dest_Trueprop ((fst o Logic.strip_prems) (Logic.count_prems r', [], r'));
neuper@48895	1112	val t' = (snd o HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl) r';
neuper@48895	1113	if term2str t' = "cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@48895	1114	else error "get_fillpats changed 1"
wneuper@59252	1115	DEconstrCalcTree 1;
neuper@48895	1116
neuper@42430	1117	"--------- embed fun find_fillpatterns ---------------------------";
neuper@42430	1118	"--------- embed fun find_fillpatterns ---------------------------";
neuper@42430	1119	"--------- embed fun find_fillpatterns ---------------------------";
s1210629013@55445	1120	reset_states ();
neuper@42430	1121	CalcTree
neuper@42430	1122	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42430	1123	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42430	1124	Iterator 1;
neuper@42430	1125	moveActiveRoot 1;
wneuper@59248	1126	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1127	autoCalculate 1 (Step 1);
wneuper@59248	1128	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59123	1129	appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)" (\|> Future.join);
neuper@42430	1130	(<CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>)
neuper@42432	1131	(*or
neuper@42432	1132	<CALCMESSAGE> no derivation found </CALCMESSAGE>*)
neuper@42430	1133
neuper@42433	1134	"~~~~~ fun findFillpatterns, args:"; val (cI, errpatID) = (1, "chain-rule-diff-both");
neuper@42430	1135	val ((pt, _), _) = get_calc cI
neuper@42430	1136	val pos = get_pos cI 1;
neuper@42432	1137	"~~~~~ fun find_fillpatterns, args:"; val ((pt, pos as (p, _)), errpatID) = ((pt, pos), errpatID);
neuper@42432	1138	val f_curr = get_curr_formula (pt, pos); (* = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"*)
neuper@42430	1139	val pp = par_pblobj pt p
neuper@48895	1140	val {errpats, scr = Prog prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42430	1141	val ScrState (env, _, _, _, _, _) = get_istate pt pos
neuper@42430	1142	val subst = get_bdv_subst prog env
neuper@42430	1143	val errpatthms = errpats
neuper@42430	1144	\|> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@42430	1145	\|> map (#3: errpat -> thm list)
neuper@42430	1146	\|> flat;
neuper@42430	1147
neuper@42430	1148	case map (get_fillpats subst f_curr errpatID) errpatthms \|> flat of
neuper@42433	1149	("fill-d_d-arg", tm, thm, subs_opt) :: _ => if term2str tm =
neuper@42432	1150	"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	1151	then () else error "find_fillpatterns changed 1a"
neuper@42432	1152	\| _ => error "find_fillpatterns changed 1b"
neuper@42430	1153
neuper@42430	1154	"~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@42432	1155	(subst, f_curr, errpatID, hd (simulate beginning of "map") errpatthms);
neuper@42430	1156	val thmDeriv = Thm.get_name_hint thm
neuper@42430	1157	val (part, thyID) = thy_containing_thm thmDeriv
neuper@42430	1158	val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@42430	1159	val Hthm {fillpats, ...} = get_the theID
neuper@42433	1160	val some = map (get_fillform subst (thm, form) errpatID) fillpats;
neuper@42430	1161
neuper@42430	1162	case some \|> filter is_some \|> map the of
neuper@42433	1163	("fill-d_d-arg", tm, thm, subsopt) :: _ => if term2str tm =
neuper@42432	1164	"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	1165	then () else error "find_fillpatterns changed 2a"
neuper@42432	1166	\| _ => error "find_fillpatterns changed 2b"
neuper@42430	1167
neuper@42433	1168	"~~~~~ fun get_fillform, args:";
neuper@42433	1169	val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
neuper@42433	1170	(subst, (thm, form), errpatID, hd (simulate beginning of "map") fillpats);
neuper@42433	1171	val (form', _, _, rewritten) =
neuper@42432	1172	rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@42432	1173
neuper@42432	1174	if term2str form' = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@42432	1175	else error "find_fillpatterns changed 3";
neuper@42432	1176
neuper@42433	1177	"~~~~~ to findFillpatterns return val:"; val (fillpats) =
neuper@42433	1178	(map (get_fillpats (subs_opt, subst) f_curr errpatID) errpatthms \|> flat) (only from "hd errpatthms");
neuper@42432	1179
neuper@42450	1180	"vvv--- dropped this code WN120730";
neuper@42433	1181	val msg = "fill patterns " ^
neuper@42433	1182	((map ((apsnd term2str) o quad2pair) fillpats) \|> map pair2str_ \|> strs2str_);
neuper@42450	1183	msg =
neuper@42432	1184	"fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1185	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" ^
neuper@42432	1186	"#fill-both-args#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1187	" =\nd_d x (x ^^^ 2) + cos ?_dummy_2 * d_d x ?_dummy_3" ^
neuper@42432	1188	"#fill-d_d#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1189	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1 x (x ^^^ 4)" ^
neuper@42432	1190	"#fill-inner-deriv#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1191	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1" ^
neuper@42450	1192	"#fill-all#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) = d_d x (x ^^^ 2) + ?_dummy_1#";
neuper@42450	1193	"^^^--- dropped this code WN120730";
neuper@42450	1194
neuper@42450	1195	if (map #1 fillpats) =
neuper@42450	1196	["fill-d_d-arg", "fill-both-args", "fill-d_d", "fill-inner-deriv", "fill-all"]
neuper@42450	1197	then () else error "find_fillpatterns changed 4b";
wneuper@59252	1198	DEconstrCalcTree 1;
neuper@42450	1199
neuper@42437	1200	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@42437	1201	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@42437	1202	"--------- build fun is_exactly_equal, inputFillFormula ----------";
s1210629013@55445	1203	reset_states ();
neuper@42437	1204	CalcTree
neuper@42437	1205	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42437	1206	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42437	1207	Iterator 1;
neuper@42437	1208	moveActiveRoot 1;
wneuper@59248	1209	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1210	autoCalculate 1 (Step 1);
wneuper@59248	1211	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59123	1212	appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)" (\|> Future.join); (<<<<<<<=========================)
neuper@42437	1213	(* the check for errpat is maximally liberal (whole term modulo "nrls" from "type met"),
neuper@42437	1214	would recognize "cos (4 * x ^ (4 - 1)) + 2 * x" as well.
neuper@42437	1215	results in <CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>
neuper@42437	1216	instead of <CALCMESSAGE> no derivation found </CALCMESSAGE> *)
neuper@42437	1217	val ((pt,pos), _) = get_calc 1;
neuper@42437	1218	val p = get_pos 1 1;
neuper@42437	1219	val (Form f, _, asms) = pt_extract (pt, p);
neuper@42437	1220
wneuper@59253	1221	if p = ([1], Res) andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" then
wneuper@59253	1222	case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1223	("diff_sum", thm)) =>
wneuper@59253	1224	if (term2str o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
wneuper@59253	1225	else error "embed fun get_fillform changed 11"
wneuper@59253	1226	\| _ => error "embed fun get_fillform changed 12"
wneuper@59253	1227	else error "embed fun get_fillform changed 13";
neuper@42437	1228
neuper@42437	1229	findFillpatterns 1 "chain-rule-diff-both"; (<<<<<<<=================================)
neuper@42437	1230	(*<CALCMESSAGE> fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =
neuper@42437	1231	d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1#fill-both-args#...#...#... *)
neuper@42437	1232	val ((pt,pos),_) = get_calc 1;
neuper@42437	1233	val p = get_pos 1 1;
neuper@42437	1234
neuper@42437	1235	val (Form f, _, asms) = pt_extract (pt, p);
wneuper@59253	1236	if p = ([1], Res) andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" then
wneuper@59253	1237	case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1238	("diff_sum", thm)) =>
wneuper@59253	1239	if (term2str o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
wneuper@59253	1240	else error "embed fun get_fillform changed 21"
wneuper@59253	1241	\| _ => error "embed fun get_fillform changed 22"
wneuper@59253	1242	else error "embed fun get_fillform changed 23";
neuper@42437	1243
neuper@42437	1244	requestFillformula 1 ("chain-rule-diff-both", "fill-both-args");(<<<<<<<============)
neuper@42437	1245	(<AUTOCALC> ([1], Res) ([2], Res) ([2], Res) </AUTOCALC>)
neuper@42437	1246	val ((pt,pos),_) = get_calc 1;
neuper@42437	1247	val p = get_pos 1 1;
neuper@42437	1248	val (Form f, _, asms) = pt_extract (pt, p);
wneuper@59253	1249	if p = ([1], Res) andalso existpt [2] pt
wneuper@59253	1250	andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"
wneuper@59253	1251	then case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1252	("diff_sum", thm)) =>
wneuper@59253	1253	if (term2str o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
wneuper@59253	1254	else error "embed fun get_fillform changed 31"
wneuper@59253	1255	\| _ => error "embed fun get_fillform changed 32"
wneuper@59253	1256	else error "embed fun get_fillform changed 33";
neuper@42437	1257
neuper@42437	1258	(* input a formula which exactly fills the gaps in a "fillformula"
neuper@42437	1259	presented to the learner immediately before by "requestFillformula (errpatID, fillpatID)":
neuper@42437	1260	errpatID: lhs of the respective thm = lhs of fillformula with fillpatID.
neuper@42437	1261	the respective thm is in the ctree ................
neuper@42437	1262	*)
neuper@42437	1263	"~~~~~ fun inputFillFormula, args:"; val (cI, ifo) =
neuper@42437	1264	(1, "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)");
neuper@42437	1265	val ((pt, _), _) = get_calc cI
neuper@42437	1266	val pos = get_pos cI 1;
neuper@42437	1267
neuper@42437	1268	"~~~~~ fun is_exactly_equal, args:"; val ((pt, pos as (p, p_)), istr) = ((pt, pos), ifo);
neuper@42437	1269	val SOME ifo = parseNEW (assoc_thy "Isac" \|> thy2ctxt) istr
neuper@42437	1270	val p' = lev_on p;
neuper@42437	1271	val tac = get_obj g_tac pt p';
wneuper@59252	1272	val Rewrite_Inst ([bbb as "(bdv, x)"], ("diff_sin_chain", ttt)) = tac;
wneuper@59253	1273	if (term2str o Thm.prop_of) ttt = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
wneuper@59252	1274	else error "inputFillFormula changed 10";
neuper@42437	1275	val Appl rew = applicable_in pos pt tac;
neuper@42437	1276	val Rewrite_Inst' (_, _, _, _, _, _, _, (res, _)) = rew;
neuper@42437	1277
neuper@42437	1278	"~~~~~ to inputFillFormula return val:"; val ("ok", tac) = ("ok", tac);
neuper@42437	1279	val ("ok", (_, c, ptp as (_,p'))) = locatetac tac (pt, pos);
neuper@42437	1280	upd_calc cI (ptp, []);
neuper@42437	1281	upd_ipos cI 1 p';
neuper@42437	1282	autocalculateOK2xml cI pos (if null c then p' else last_elem c) p';
neuper@42437	1283
neuper@42437	1284	"~~~~~ final check:";
neuper@42437	1285	val ((pt, _),_) = get_calc 1;
neuper@42437	1286	val p = get_pos 1 1;
neuper@42437	1287	val (Form f, _, asms) = pt_extract (pt, p);
wneuper@59253	1288	if p = ([2], Res) andalso term2str f = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)"
wneuper@59253	1289	then case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1290	("diff_sin_chain", thm)) =>
wneuper@59253	1291	if (term2str o Thm.prop_of) thm = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
wneuper@59253	1292	else error "inputFillFormula changed 111"
wneuper@59253	1293	\| _ => error "inputFillFormula changed 112"
wneuper@59253	1294	else error "inputFillFormula changed 113";
neuper@42437	1295
wneuper@59262	1296	"--------- fun appl_adds -----------------------------------------";
wneuper@59262	1297	"--------- fun appl_adds -----------------------------------------";
wneuper@59262	1298	"--------- fun appl_adds -----------------------------------------";
wneuper@59262	1299	(* val (dI, oris, ppc, pbt, selct::ss) =
wneuper@59262	1300	(dI, pors, probl, ppc, map itms2fstr probl);
wneuper@59262	1301	...vvv
wneuper@59262	1302	*)
wneuper@59262	1303	(* val (dI, oris, ppc, pbt, (selct::ss))=
wneuper@59262	1304	(#1 (some_spec ospec spec), oris, []:itm list,
wneuper@59262	1305	((#ppc o get_pbt) (#2 (some_spec ospec spec))),(imodel2fstr imodel));
wneuper@59262	1306	val iii = appl_adds dI oris ppc pbt (selct::ss);
wneuper@59262	1307	tracing(itms2str_ thy iii);
wneuper@59262	1308
wneuper@59262	1309	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1310	val ppc = insert_ppc' itm ppc;
wneuper@59262	1311
wneuper@59262	1312	val _::selct::ss = (selct::ss);
wneuper@59262	1313	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1314	val ppc = insert_ppc' itm ppc;
wneuper@59262	1315
wneuper@59262	1316	val _::selct::ss = (selct::ss);
wneuper@59262	1317	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1318	val ppc = insert_ppc' itm ppc;
wneuper@59262	1319	tracing(itms2str_ thy ppc);
wneuper@59262	1320
wneuper@59262	1321	val _::selct::ss = (selct::ss);
wneuper@59262	1322	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1323	val ppc = insert_ppc' itm ppc;
wneuper@59262	1324	*)
wneuper@59264	1325	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	1326	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	1327	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	1328	(*
wneuper@59264	1329	val ({rew_ord, erls, rules,...}, fo, ifo) =
wneuper@59264	1330	(rep_rls Test_simplify, str2term "x+1+ -12=0", str2term "-21+(x+1)=0");
wneuper@59264	1331	(tracing o trtas2str) fod';
wneuper@59264	1332	> ["
wneuper@59264	1333	(x + 1 + -1 * 2 = 0, Thm ("radd_commute","?m + ?n = ?n + ?m"), (-1 * 2 + (x + 1) = 0, []))","
wneuper@59264	1334	(-1 * 2 + (x + 1) = 0, Thm ("radd_commute","?m + ?n = ?n + ?m"), (-1 * 2 + (1 + x) = 0, []))","
wneuper@59264	1335	(-1 * 2 + (1 + x) = 0, Thm ("radd_left_commute","?x + (?y + ?z) = ?y + (?x + ?z)"), (1 + (-1 * 2 + x) = 0, []))","
wneuper@59264	1336	(1 + (-1 * 2 + x) = 0, Thm ("#mult_Float ((~1,0), (0,0)) __ ((2,0), (0,0))","-1 * 2 = -2"), (1 + (-2 + x) = 0, []))"]
wneuper@59264	1337	val it = () : unit
wneuper@59264	1338	(tracing o trtas2str) (map rev_deriv' rifod');
wneuper@59264	1339	> ["
wneuper@59264	1340	(1 + (-2 + x) = 0, Thm ("sym_#mult_Float ((~2,0), (0,0)) __ ((1,0), (0,0))","-2 = -2 * 1"), (1 + (-2 * 1 + x) = 0, []))","
wneuper@59264	1341	(1 + (-2 * 1 + x) = 0, Thm ("sym_radd_left_commute","?y + (?x + ?z) = ?x + (?y + ?z)"), (-2 * 1 + (1 + x) = 0, []))","
wneuper@59264	1342	(-2 * 1 + (1 + x) = 0, Thm ("sym_radd_commute","?n + ?m = ?m + ?n"), (-2 * 1 + (x + 1) = 0, []))"]
wneuper@59264	1343	val it = () : unit
wneuper@59264	1344	*)
wneuper@59264	1345	"--------- handle an input formula -------------------------------";
wneuper@59264	1346	"--------- handle an input formula -------------------------------";
wneuper@59264	1347	"--------- handle an input formula -------------------------------";
wneuper@59264	1348	(*
wneuper@59264	1349	Untersuchung zur Formeleingabe (appendFormula, replaceFormla) zu einer Anregung von Alan Krempler:
wneuper@59264	1350	Welche RICHTIGEN Formeln koennen NICHT abgeleitet werden,
wneuper@59264	1351	wenn Abteilungen nur auf gleichem Level gesucht werden ?
wneuper@59264	1352	WN.040216
wneuper@59264	1353
wneuper@59264	1354	Beispiele zum Equationsolver von Richard Lang aus /src/sml/kbtest/rlang.sml
wneuper@59264	1355
wneuper@59264	1356	------------------------------------------------------------------------------
wneuper@59264	1357	"Schalk I s.87 Bsp 52a ((5*x)/(x - 2) - x/(x+2)=4)";
wneuper@59264	1358	------------------------------------------------------------------------------
wneuper@59264	1359	1. "5 * x / (x - 2) - x / (x + 2) = 4"
wneuper@59264	1360	...
wneuper@59264	1361	4. "12 * x + 4 * x ^^^ 2 = 4 * (-4 + x ^^^ 2)",Subproblem["normalize", "poly"..
wneuper@59264	1362	...
wneuper@59264	1363	4.3. "16 + 12 * x = 0", Subproblem["degree_1", "polynomial", "univariate"..
wneuper@59264	1364	...
wneuper@59264	1365	4.3.3. "[x = -4 / 3]")), Check_elementwise "Assumptions"
wneuper@59264	1366	...
wneuper@59264	1367	"[x = -4 / 3]"
wneuper@59264	1368	------------------------------------------------------------------------------
wneuper@59264	1369	(1)..(6): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite verschiebt [Ableitung ware in 4.3.n]
wneuper@59264	1370
wneuper@59264	1371	(4.1)..(4.3): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite verschiebt [Ableitung ware in 4.3.n]
wneuper@59264	1372	------------------------------------------------------------------------------
wneuper@59264	1373
wneuper@59264	1374
wneuper@59264	1375	------------------------------------------------------------------------------
wneuper@59264	1376	"Schalk I s.87 Bsp 55b (x/(x^^^2 - 6x+9) - 1/(x^^^2 - 3x) =1/x)";
wneuper@59264	1377	------------------------------------------------------------------------------
wneuper@59264	1378	1. "x / (x ^^^ 2 - 6 * x + 9) - 1 / (x ^^^ 2 - 3 * x) = 1 / x"
wneuper@59264	1379	...
wneuper@59264	1380	4. "(3 + (-1 * x + x ^^^ 2)) * x = 1 * (9 * x + (x ^^^ 3 + -6 * x ^^^ 2))"
wneuper@59264	1381	Subproblem["normalize", "polynomial", "univariate"..
wneuper@59264	1382	...
wneuper@59264	1383	4.4. "-6 * x + 5 * x ^^^ 2 = 0", Subproblem["bdv_only", "degree_2", "poly"..
wneuper@59264	1384	...
wneuper@59264	1385	4.4.4. "[x = 0, x = 6 / 5]", Check_elementwise "Assumptions"
wneuper@59264	1386	4.4.5. "[x = 0, x = 6 / 5]"
wneuper@59264	1387	...
wneuper@59264	1388	5. "[x = 0, x = 6 / 5]", Check_elementwise "Assumptions"
wneuper@59264	1389	"[x = 6 / 5]"
wneuper@59264	1390	------------------------------------------------------------------------------
wneuper@59264	1391	(1)..(4): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite schiebt [Ableitung waere in 4.4.x]
wneuper@59264	1392
wneuper@59264	1393	(4.1)..(4.4.5): keine 'richtige' Eingabe kann abgeleitet werden, die dem Ergebnis "[x = 6 / 5]" aequivalent ist [Ableitung waere in 5.]
wneuper@59264	1394	------------------------------------------------------------------------------
wneuper@59264	1395
wneuper@59264	1396
wneuper@59264	1397	------------------------------------------------------------------------------
wneuper@59264	1398	"Schalk II s.56 Bsp 73b (sqrt(x+1)+sqrt(4x+4)=sqrt(9x+9))";
wneuper@59264	1399	------------------------------------------------------------------------------
wneuper@59264	1400	1. "sqrt (x + 1) + sqrt (4 * x + 4) = sqrt (9 * x + 9)"
wneuper@59264	1401	...
wneuper@59264	1402	6. "13 + 13 * x + -2 * sqrt ((4 + 4 * x) * (9 + 9 * x)) = 1 + x"
wneuper@59264	1403	Subproblem["sq", "root'", "univariate", "equation"]
wneuper@59264	1404	...
wneuper@59264	1405	6.6. "144 + 288 * x + 144 * x ^^^ 2 = 144 + x ^^^ 2 + 288 * x + 143 * x ^^^ 2"
wneuper@59264	1406	Subproblem["normalize", "polynomial", "univariate", "equation"]
wneuper@59264	1407	...
wneuper@59264	1408	6.6.3 "0 = 0" Subproblem["degree_0", "polynomial", "univariate", "equation"]
wneuper@59264	1409	... Or_to_List
wneuper@59264	1410	6.6.3.2 "UniversalList"
wneuper@59264	1411	------------------------------------------------------------------------------
wneuper@59264	1412	(1)..(6): keine 'richtige' Eingabe kann abgeleitet werden, die eine der Wurzeln auf die andere Seite verschieb [Ableitung ware in 6.6.n]
wneuper@59264	1413
wneuper@59264	1414	(6.1)..(6.3): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite verschiebt [Ableitung ware in 6.6.n]
wneuper@59264	1415	------------------------------------------------------------------------------
wneuper@59264	1416	*)
wneuper@59264	1417	(sh. comments auf 498)
wneuper@59264	1418	"--------- fun dropwhile' ----------------------------------------";
wneuper@59264	1419	"--------- fun dropwhile' ----------------------------------------";
wneuper@59264	1420	"--------- fun dropwhile' ----------------------------------------";
wneuper@59264	1421	(*
wneuper@59264	1422	fun equal a b = a=b;
wneuper@59264	1423	val foder = [0,1,2,3,4,5]; val ifoder = [11,12,3,4,5];
wneuper@59264	1424	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1425	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1426	> vval it = ([0, 1, 2, 3], [3, 12, 11]) : int list * int list
wneuper@59264	1427
wneuper@59264	1428	val foder = [3,4,5]; val ifoder = [11,12,3,4,5];
wneuper@59264	1429	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1430	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1431	> val it = ([3], [3, 12, 11]) : int list * int list
wneuper@59264	1432
wneuper@59264	1433	val foder = [5]; val ifoder = [11,12,3,4,5];
wneuper@59264	1434	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1435	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1436	> val it = ([5], [5, 4, 3, 12, 11]) : int list * int list
wneuper@59264	1437
wneuper@59264	1438	val foder = [10,11,12,13,14,15]; val ifoder = [11,12,3,4,5];
wneuper@59264	1439	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1440	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1441	> *** dropwhile': did not start with equal elements*)

author	Walther Neuper <wneuper@ist.tugraz.at>
	Thu, 22 Dec 2016 11:36:20 +0100
changeset 59279	255c853ea2f0
parent 59269	1da53d1540fe
child 59348	ddfabb53082c
permissions	-rw-r--r--