wneuper/isa: test/Tools/isac/Interpret/inform.sml@f04094deb7f3 (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 ----------";
wneuper@59262	41	"--------- fun appl_adds -----------------------------------------";
wneuper@59264	42	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	43	"--------- handle an input formula -------------------------------";
wneuper@59264	44	"--------- fun dropwhile' ----------------------------------------";
neuper@37906	45	"-----------------------------------------------------------------";
neuper@37906	46	"-----------------------------------------------------------------";
neuper@37906	47	"-----------------------------------------------------------------";
neuper@37906	48
neuper@37906	49
neuper@37906	50	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	51	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906	52	"--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@48790	53	val Prog sc = (#scr o get_met) ["Test","squ-equ-test-subpbl1"];
neuper@37906	54	(writeln o term2str) sc;
neuper@48790	55	val Prog sc = (#scr o get_met) ["Test","solve_linear"];
neuper@37906	56	(writeln o term2str) sc;
neuper@37906	57
s1210629013@55445	58	reset_states ();
neuper@41970	59	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	60	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	61	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	62	Iterator 1; moveActiveRoot 1;
wneuper@59248	63	autoCalculate 1 CompleteCalcHead;
wneuper@59248	64	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	65	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	66
wneuper@59123	67	appendFormula 1 "-2 * 1 + (1 + x) = 0" (\|> Future.join); refFormula 1 (get_pos 1 1);
neuper@37906	68	val ((pt,_),_) = get_calc 1;
neuper@37906	69	val str = pr_ptree pr_short pt;
neuper@48895	70	if str =
neuper@48895	71	(". ----- pblobj -----\n" ^
neuper@48895	72	"1. x + 1 = 2\n" ^
neuper@48895	73	"2. x + 1 + -1 * 2 = 0\n" ^
neuper@48895	74	"2.1. x + 1 + -1 * 2 = 0\n" ^
neuper@48895	75	"2.2. 1 + x + -1 * 2 = 0\n" ^
neuper@48895	76	"2.3. 1 + (x + -1 * 2) = 0\n" ^
neuper@48895	77	"2.4. 1 + (x + -2) = 0\n" ^
neuper@48895	78	"2.5. 1 + (x + -2 * 1) = 0\n" ^
neuper@48895	79	"2.6. 1 + x + -2 * 1 = 0\n" ) then ()
neuper@48895	80	else error "inform.sml: diff.behav.appendFormula: on Res + equ 1";
neuper@37906	81
neuper@37906	82	moveDown 1 ([ ],Pbl); refFormula 1 ([1],Frm); (x + 1 = 2)
neuper@37906	83	moveDown 1 ([1],Frm); refFormula 1 ([1],Res); (x + 1 + -1 2 = 0*)
neuper@37906	84
neuper@37906	85	(the seven steps of detailed derivation)
neuper@37906	86	moveDown 1 ([1 ],Res); refFormula 1 ([2,1],Frm);
neuper@37906	87	moveDown 1 ([2,1],Frm); refFormula 1 ([2,1],Res);
neuper@37906	88	moveDown 1 ([2,1],Res); refFormula 1 ([2,2],Res);
neuper@37906	89	moveDown 1 ([2,2],Res); refFormula 1 ([2,3],Res);
neuper@37906	90	moveDown 1 ([2,3],Res); refFormula 1 ([2,4],Res);
neuper@37906	91	moveDown 1 ([2,4],Res); refFormula 1 ([2,5],Res);
neuper@37906	92	moveDown 1 ([2,5],Res); refFormula 1 ([2,6],Res);
neuper@37906	93	val ((pt,_),_) = get_calc 1;
neuper@37906	94	if "-2 * 1 + (1 + x) = 0" = term2str (fst (get_obj g_result pt [2,6])) then()
neuper@38031	95	else error "inform.sml: diff.behav.appendFormula: on Res + equ 2";
neuper@37906	96
neuper@37906	97	fetchProposedTactic 1; (takes Iterator 1 _1_)
neuper@48895	98	(* <ERROR> error in kernel </ERROR> ALREADY IN 2009-2*)
neuper@48895	99	(*========== inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 =============
neuper@37906	100	val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906	101	if tac = Rewrite_Set "Test_simplify" then ()
neuper@38031	102	else error "inform.sml: diff.behav.appendFormula: on Res + equ 3";
neuper@48895	103	============ inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 ============*)
akargl@42209	104
wneuper@59248	105	autoCalculate 1 CompleteCalc;
neuper@37906	106	val ((pt,_),_) = get_calc 1;
neuper@37906	107	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	108	else error "inform.sml: diff.behav.appendFormula: on Res + equ 4";
wneuper@59248	109	(* autoCalculate 1 CompleteCalc;
neuper@37906	110	val ((pt,p),_) = get_calc 1;
neuper@37906	111	(writeln o istates2str) (get_obj g_loc pt [ ]);
neuper@37906	112	(writeln o istates2str) (get_obj g_loc pt [1]);
neuper@37906	113	(writeln o istates2str) (get_obj g_loc pt [2]);
neuper@37906	114	(writeln o istates2str) (get_obj g_loc pt [3]);
neuper@37906	115	(writeln o istates2str) (get_obj g_loc pt [3,1]);
neuper@37906	116	(writeln o istates2str) (get_obj g_loc pt [3,2]);
neuper@37906	117	(writeln o istates2str) (get_obj g_loc pt [4]);
neuper@37906	118
neuper@37906	119	*)
neuper@37906	120	"----------------------------------------------------------";
akargl@42176	121
akargl@42176	122	val fod = make_deriv (@{theory "Isac"}) Atools_erls
neuper@37906	123	((#rules o rep_rls) Test_simplify)
akargl@42176	124	(sqrt_right false (@{theory "Pure"})) NONE
neuper@37906	125	(str2term "x + 1 + -1 * 2 = 0");
neuper@37906	126	(writeln o trtas2str) fod;
neuper@37906	127
akargl@42176	128	val ifod = make_deriv (@{theory "Isac"}) Atools_erls
neuper@37906	129	((#rules o rep_rls) Test_simplify)
akargl@42176	130	(sqrt_right false (@{theory "Pure"})) NONE
neuper@37906	131	(str2term "-2 * 1 + (1 + x) = 0");
neuper@37906	132	(writeln o trtas2str) ifod;
akargl@42176	133	fun equal (_,_,(t1, _)) (_,_,(t2, _)) = t1 = t2;
neuper@37906	134	val (fod', rifod') = dropwhile' equal (rev fod) (rev ifod);
neuper@37906	135	val der = fod' @ (map rev_deriv' rifod');
neuper@37906	136	(writeln o trtas2str) der;
neuper@37906	137	"----------------------------------------------------------";
wneuper@59252	138	DEconstrCalcTree 1;
neuper@37906	139
neuper@37906	140	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	141	"--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906	142	"--------- appendFormula: on Frm + equ_nrls ----------------------";
s1210629013@55445	143	reset_states ();
neuper@41970	144	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	145	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	146	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	147	Iterator 1; moveActiveRoot 1;
wneuper@59248	148	autoCalculate 1 CompleteCalcHead;
wneuper@59248	149	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (x + 1 = 2);
wneuper@59123	150	appendFormula 1 "2+ -1 + x = 2" (\|> Future.join); refFormula 1 (get_pos 1 1);
neuper@37906	151
neuper@37906	152	moveDown 1 ([],Pbl); refFormula 1 ([1],Frm) (x + 1 = 2);
neuper@37906	153
neuper@37906	154	moveDown 1 ([1 ],Frm); refFormula 1 ([1,1],Frm);
neuper@37906	155	moveDown 1 ([1,1],Frm); refFormula 1 ([1,1],Res);
neuper@37906	156	moveDown 1 ([1,1],Res); refFormula 1 ([1,2],Res);
neuper@37906	157	moveDown 1 ([1,2],Res); refFormula 1 ([1,3],Res);
neuper@37906	158	moveDown 1 ([1,3],Res); refFormula 1 ([1,4],Res);
neuper@37906	159	moveDown 1 ([1,4],Res); refFormula 1 ([1,5],Res);
neuper@37906	160	moveDown 1 ([1,5],Res); refFormula 1 ([1,6],Res);
neuper@37906	161	val ((pt,_),_) = get_calc 1;
neuper@37906	162	if "2 + -1 + x = 2" = term2str (fst (get_obj g_result pt [1,6])) then()
neuper@38031	163	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 1";
neuper@37906	164
neuper@37906	165	fetchProposedTactic 1; (takes Iterator 1 _1_)
neuper@37906	166	val (_,(tac,_,_)::_) = get_calc 1;
wneuper@59253	167	case tac of Rewrite_Set "norm_equation" => ()
wneuper@59253	168	\| _ => error "inform.sml: diff.behav.appendFormula: on Frm + equ 2";
wneuper@59248	169	autoCalculate 1 CompleteCalc;
neuper@37906	170	val ((pt,_),_) = get_calc 1;
neuper@37906	171	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	172	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
wneuper@59252	173	DEconstrCalcTree 1;
neuper@37906	174
neuper@37906	175	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	176	"--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906	177	"--------- appendFormula: on Res + NO deriv ----------------------";
s1210629013@55445	178	reset_states ();
neuper@41970	179	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	180	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	181	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	182	Iterator 1; moveActiveRoot 1;
wneuper@59248	183	autoCalculate 1 CompleteCalcHead;
wneuper@59248	184	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	185	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	186
wneuper@59123	187	appendFormula 1 "x = 2" (\|> Future.join);
neuper@37906	188	val ((pt,p),_) = get_calc 1;
neuper@37906	189	val str = pr_ptree pr_short pt;
neuper@37906	190	writeln str;
neuper@37906	191	if str = ". ----- pblobj -----\n1. x + 1 = 2\n" andalso p = ([1], Res)
neuper@37906	192	then ()
neuper@38031	193	else error "inform.sml: diff.behav.appendFormula: Res + NOder 1";
neuper@37906	194
neuper@37906	195	fetchProposedTactic 1;
neuper@37906	196	val (_,(tac,_,_)::_) = get_calc 1;
wneuper@59253	197	case tac of Rewrite_Set "Test_simplify" => ()
wneuper@59253	198	\| _ => error "inform.sml: diff.behav.appendFormula: Res + NOder 2";
wneuper@59248	199	autoCalculate 1 CompleteCalc;
neuper@37906	200	val ((pt,_),_) = get_calc 1;
neuper@37906	201	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	202	else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
wneuper@59252	203	DEconstrCalcTree 1;
neuper@37906	204
neuper@37906	205	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	206	"--------- appendFormula: on Res + late deriv --------------------";
neuper@37906	207	"--------- appendFormula: on Res + late deriv --------------------";
s1210629013@55445	208	reset_states ();
neuper@41970	209	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	210	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	211	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	212	Iterator 1; moveActiveRoot 1;
wneuper@59248	213	autoCalculate 1 CompleteCalcHead;
wneuper@59248	214	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	215	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	216
wneuper@59123	217	appendFormula 1 "x = 1" (\|> Future.join);
neuper@37906	218	val ((pt,p),_) = get_calc 1;
neuper@37906	219	val str = pr_ptree pr_short pt;
neuper@37906	220	writeln str;
neuper@37906	221	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	222	then () (finds 1 step too early: ([3,2], Res) "x = 1" also by script !!!)
neuper@38031	223	else error "inform.sml: diff.behav.appendFormula: Res + late d 1";
akargl@42176	224
neuper@37906	225	fetchProposedTactic 1;
neuper@37906	226	val (_,(tac,_,_)::_) = get_calc 1;
wneuper@59253	227	case tac of Check_Postcond ["LINEAR", "univariate", "equation", "test"] => ()
wneuper@59253	228	\| _ => error "inform.sml: diff.behav.appendFormula: Res + late d 2";
wneuper@59248	229	autoCalculate 1 CompleteCalc;
neuper@37906	230	val ((pt,_),_) = get_calc 1;
neuper@37906	231	if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031	232	else error "inform.sml: diff.behav.appendFormula: Res + late d 3";
wneuper@59252	233	DEconstrCalcTree 1;
neuper@37906	234
neuper@37906	235	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	236	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906	237	"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
s1210629013@55445	238	reset_states ();
neuper@41970	239	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	240	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	241	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	242	Iterator 1; moveActiveRoot 1;
wneuper@59248	243	autoCalculate 1 CompleteCalcHead;
wneuper@59248	244	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	245	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
wneuper@59123	246	appendFormula 1 "[x = 3 + -21]" (\|> Future.join*);
neuper@37906	247	val ((pt,p),_) = get_calc 1;
neuper@37906	248	val str = pr_ptree pr_short pt;
neuper@37906	249	writeln str;
neuper@37906	250	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	251	else error "inform.sml: diff.behav.appendFormula: Res + latEE 1";
wneuper@59248	252	autoCalculate 1 CompleteCalc;
neuper@37906	253	val ((pt,p),_) = get_calc 1;
neuper@37906	254	if "[x = 3 + -2 * 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@37906	255	(* ~~~~~~~~~~ simplify as last step in any script ?!*)
neuper@38031	256	else error "inform.sml: diff.behav.appendFormula: Res + latEE 2";
wneuper@59252	257	DEconstrCalcTree 1;
neuper@37906	258
neuper@37906	259	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	260	"--------- replaceFormula: on Res + = ----------------------------";
neuper@37906	261	"--------- replaceFormula: on Res + = ----------------------------";
s1210629013@55445	262	reset_states ();
neuper@41970	263	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	264	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	265	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	266	Iterator 1; moveActiveRoot 1;
wneuper@59248	267	autoCalculate 1 CompleteCalcHead;
wneuper@59248	268	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	269	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
wneuper@59248	270	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(-1 + x);
neuper@37906	271
neuper@37906	272	replaceFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
neuper@37906	273	val ((pt,_),_) = get_calc 1;
neuper@37906	274	val str = pr_ptree pr_short pt;
akargl@42176	275
neuper@48895	276	(* before AK110725 this was
neuper@48895	277	". ----- pblobj -----\n
neuper@48895	278	1. x + 1 = 2\n
neuper@48895	279	2. x + 1 + -1 * 2 = 0\n
neuper@48895	280	2.1. x + 1 + -1 * 2 = 0\n
neuper@48895	281	2.2. 1 + x + -1 * 2 = 0\n
neuper@48895	282	2.3. 1 + (x + -1 * 2) = 0\n
neuper@48895	283	2.4. 1 + (x + -2) = 0\n
neuper@48895	284	2.5. 1 + (x + -2 * 1) = 0\n
neuper@48895	285	2.6. 1 + x + -2 * 1 = 0\n";
neuper@48895	286	*)
neuper@48895	287	if str =
neuper@48895	288	". ----- pblobj -----\n"^
neuper@48895	289	"1. x + 1 = 2\n"^
neuper@48895	290	"2. x + 1 + -1 * 2 = 0\n"^
neuper@48895	291	"2.1. x + 1 + -1 * 2 = 0\n"^
neuper@48895	292	"2.2. 1 + x + -1 * 2 = 0\n"^
neuper@48895	293	"2.3. 1 + (x + -1 * 2) = 0\n"^
neuper@48895	294	"2.4. 1 + (x + -2) = 0\n"^
neuper@48895	295	"2.5. 1 + (x + -2 * 1) = 0\n"^
neuper@48895	296	"2.6. 1 + x + -2 * 1 = 0\n" then()
neuper@48895	297	else error "inform.sml: diff.behav.replaceFormula: on Res += 1";
akargl@42176	298
wneuper@59248	299	autoCalculate 1 CompleteCalc;
akargl@42176	300	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	301	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst) (get_obj g_result pt p) then()
neuper@38031	302	else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
wneuper@59252	303	DEconstrCalcTree 1;
neuper@37906	304
neuper@37906	305	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	306	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906	307	"--------- replaceFormula: on Res + = 1st Nd ---------------------";
s1210629013@55445	308	reset_states ();
neuper@41970	309	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	310	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	311	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	312	Iterator 1; moveActiveRoot 1;
wneuper@59248	313	autoCalculate 1 CompleteCalcHead;
wneuper@59248	314	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	315	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	316
neuper@37906	317	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	318	val ((pt,_),_) = get_calc 1;
neuper@37906	319	val str = pr_ptree pr_short pt;
neuper@37906	320	writeln str;
akargl@42176	321	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	322	else error "inform.sml: diff.behav.replaceFormula: on Res 1 + = 1";
wneuper@59248	323	autoCalculate 1 CompleteCalc;
akargl@42176	324	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	325	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031	326	else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
wneuper@59252	327	DEconstrCalcTree 1;
neuper@37906	328
neuper@37906	329	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	330	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906	331	"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
s1210629013@55445	332	reset_states ();
neuper@41970	333	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	334	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	335	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	336	Iterator 1; moveActiveRoot 1;
wneuper@59248	337	autoCalculate 1 CompleteCalcHead;
wneuper@59248	338	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
neuper@37906	339
neuper@37906	340	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	341	val ((pt,_),_) = get_calc 1;
neuper@37906	342	val str = pr_ptree pr_short pt;
neuper@37906	343	writeln str;
akargl@42176	344	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	345	else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 1";
wneuper@59248	346	autoCalculate 1 CompleteCalc;
akargl@42176	347	val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176	348	if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031	349	else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 2";
wneuper@59252	350	DEconstrCalcTree 1;
neuper@37906	351
neuper@37906	352	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	353	"--------- replaceFormula: cut calculation -----------------------";
neuper@37906	354	"--------- replaceFormula: cut calculation -----------------------";
s1210629013@55445	355	reset_states ();
neuper@41970	356	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	357	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	358	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	359	Iterator 1; moveActiveRoot 1;
wneuper@59248	360	autoCalculate 1 CompleteCalc;
neuper@37906	361	moveActiveRoot 1; moveActiveDown 1;
neuper@37906	362	if get_pos 1 1 = ([1], Frm) then ()
neuper@38031	363	else error "inform.sml: diff.behav. cut calculation 1";
neuper@37906	364
neuper@37906	365	replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906	366	val ((pt,p),_) = get_calc 1;
neuper@37906	367	val str = pr_ptree pr_short pt;
neuper@37906	368	writeln str;
neuper@37906	369	if p = ([1], Res) then ()
neuper@38031	370	else error "inform.sml: diff.behav. cut calculation 2";
neuper@37906	371
neuper@37906	372
neuper@37906	373	(* 040307 copied from informtest.sml; ... old version
neuper@37906	374	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	375	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	376	"---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906	377
neuper@37906	378	val p = ([],Pbl);
neuper@37906	379	val elems = ["fixedValues [r=Arbfix]","maximum A","valuesFor [a,b]",
neuper@37906	380	"relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906	381	"relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906	382	"relations [A=ab, a/2=rsin alpha, b/2=r*cos alpha]",
neuper@37906	383	(^^^ these are the elements for the root-problem (in variants))
neuper@37906	384	(vvv these are elements required for subproblems)
neuper@37906	385	"boundVariable a","boundVariable b","boundVariable alpha",
neuper@37906	386	"interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906	387	"interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906	388	"interval {x::real. 0 <= x & x <= pi}",
neuper@37906	389	"errorBound (eps=(0::real))"]
neuper@37906	390	(specifying is not interesting for this example)
neuper@38058	391	val spec = ("DiffApp", ["maximum_of","function"],
neuper@37906	392	["DiffApp","max_by_calculus"]);
neuper@37906	393	(the empty model with descriptions for user-guidance by Model_Problem)
neuper@37906	394	val empty_model = [Given ["fixedValues []"],
neuper@37906	395	Find ["maximum", "valuesFor"],
neuper@37906	396	Relate ["relations []"]];
neuper@37906	397
neuper@37906	398
neuper@37906	399	(!!!!!!!!!!!!!!!!! DON'T USE me FOR FINDING nxt !!!!!!!!!!!!!!!!!!)
neuper@37906	400	val (p,_,f,nxt,_,pt) = CalcTreeTEST [(elems, spec)];
neuper@37906	401	(val nxt = ("Model_Problem", ...)
neuper@37924	402	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	403
neuper@37906	404	val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906	405	(nxt = Add_Given "fixedValues [r = Arbfix]")
neuper@37924	406	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	407	(*[
neuper@37906	408	(0 ,[] ,false ,#Given ,Inc fixedValues [] ,(??.empty, [])),
neuper@37906	409	(0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),
neuper@37906	410	(0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),
neuper@37906	411	(0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))]*)
neuper@37906	412
neuper@37906	413	(the empty CalcHead is checked w.r.t the model and re-established as such)
neuper@37906	414	val (b,pt,ocalhd) = input_icalhd pt (p,"", empty_model, Pbl, e_spec);
neuper@37924	415	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@38031	416	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	417
neuper@37906	418	(there is one input to the model (could be more))
neuper@37906	419	val (b,pt,ocalhd) =
neuper@37906	420	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	421	Find ["maximum", "valuesFor"],
neuper@37906	422	Relate ["relations"]], Pbl, e_spec);
neuper@37924	423	val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	424	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	425	else error "informtest.sml: diff.behav. max 2";
neuper@37906	426
neuper@37906	427	(*this input is complete in variant 3, but the ME doesn't recognize FIXXXXME
neuper@37906	428	val (b,pt''''',ocalhd) =
neuper@37906	429	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	430	Find ["maximum A", "valuesFor [a,b]"],
neuper@37906	431	Relate ["relations [A=ab, a/2=rsin alpha, \
neuper@37906	432	\b/2=r*cos alpha]"]], Pbl, e_spec);
neuper@37924	433	val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	434	if ocalhd2str ocalhd = ------------^^^^^^^^^^ missing !!!*)
neuper@37906	435
neuper@37906	436	(this input is complete in variant 1 (variant 3 does not work yet))
neuper@37906	437	val (b,pt''''',ocalhd) =
neuper@37906	438	input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906	439	Find ["maximum A", "valuesFor [a,b]"],
neuper@37906	440	Relate ["relations [A=a*b, \
neuper@37906	441	\(a/2)^^^2 + (b/2)^^^2 = r^^^2]"]],
neuper@37906	442	Pbl, e_spec);
neuper@37924	443	val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl;
neuper@37906	444
neuper@37906	445	modifycalcheadOK2xml 111 (bool2str b) ocalhd;
neuper@37906	446	*)
wneuper@59252	447	DEconstrCalcTree 1;
neuper@37906	448
neuper@37906	449	"--------- syntax error ------------------------------------------";
neuper@37906	450	"--------- syntax error ------------------------------------------";
neuper@37906	451	"--------- syntax error ------------------------------------------";
s1210629013@55445	452	reset_states ();
neuper@41970	453	CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"],
neuper@41970	454	("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906	455	["Test","squ-equ-test-subpbl1"]))];
neuper@37906	456	Iterator 1; moveActiveRoot 1;
wneuper@59248	457	autoCalculate 1 CompleteCalcHead;
wneuper@59248	458	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 = 2)
wneuper@59248	459	autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(x + 1 + -1 2 = 0*);
neuper@37906	460
neuper@37906	461	appendFormula 1 " x - "; (<ERROR> syntax error in ' x - ' </ERROR>)
neuper@37906	462	val ((pt,_),_) = get_calc 1;
neuper@37906	463	val str = pr_ptree pr_short pt;
neuper@37906	464	writeln str;
neuper@37906	465	if str = ". ----- pblobj -----\n1. x + 1 = 2\n" then ()
neuper@38031	466	else error "inform.sml: diff.behav.appendFormula: syntax error";
wneuper@59252	467	DEconstrCalcTree 1;
neuper@37906	468
neuper@37906	469	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	470	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	471	"--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906	472	val (p,_,f,nxt,_,pt) =
neuper@37906	473	CalcTreeTEST [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	474	val ifo = "solve(x+1=2,x)";
neuper@37906	475	val (_,(_,c,(pt,p))) = inform ([],[],(pt,p)) "solve(x+1=2,x)";
neuper@37906	476	show_pt pt;
neuper@37906	477	val nxt = ("Apply_Method",Apply_Method ["Test","squ-equ-test-subpbl1"]);
neuper@37906	478	val (p,_,f,nxt,_,pt) = me nxt p [] pt;
neuper@37906	479	if p = ([1], Frm) andalso f2str f = "x + 1 = 2" then ()
neuper@38031	480	else error "inform.sml: diff.behav. CAScmd ([],Pbl)";
wneuper@59252	481	DEconstrCalcTree 1;
neuper@37906	482
neuper@37906	483	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	484	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906	485	"--------- CAS-command on ([],Pbl) FE-interface ------------------";
s1210629013@55445	486	reset_states ();
neuper@37906	487	CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	488	Iterator 1;
neuper@37906	489	moveActiveRoot 1;
neuper@37906	490	replaceFormula 1 "solve(x+1=2,x)";
wneuper@59248	491	autoCalculate 1 CompleteCalc;
neuper@37906	492	val ((pt,p),_) = get_calc 1;
neuper@37906	493	show_pt pt;
neuper@37906	494	if p = ([], Res) then ()
neuper@38031	495	else error "inform.sml: diff.behav. CAScmd ([],Pbl) FE-interface";
wneuper@59252	496	DEconstrCalcTree 1;
neuper@37906	497
neuper@37906	498	"--------- inform [rational,simplification] ----------------------";
neuper@37906	499	"--------- inform [rational,simplification] ----------------------";
neuper@37906	500	"--------- inform [rational,simplification] ----------------------";
s1210629013@55445	501	reset_states ();
neuper@52105	502	CalcTree [(["Term (a * x / (b * x) + c * x / (d * x) + e / f)", "normalform N"],
neuper@52105	503	("Rational", ["rational", "simplification"], ["simplification", "of_rationals"]))];
neuper@37906	504	Iterator 1; moveActiveRoot 1;
wneuper@59248	505	autoCalculate 1 CompleteCalcHead;
neuper@52105	506
neuper@52105	507	"--- (-1) give a preview on the calculation without any input";
neuper@52105	508	(*
wneuper@59248	509	autoCalculate 1 CompleteCalc;
neuper@52105	510	val ((pt, p), _) = get_calc 1;
neuper@52105	511	show_pt pt;
neuper@52105	512	[
neuper@52105	513	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	514	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	515	(([1], Res), a / b + c / d + e / f), <--- (1) input arbitrary
neuper@52105	516	(([2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	517	(([3], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	518	(([4], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)), <--- (2) input next
neuper@52105	519	(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))] <--- (3) is also final result
neuper@52105	520	EXAMPLE NOT OPTIMAL
neuper@52105	521	*)
neuper@52105	522	"--- (0) user input as the first step does not work, thus impdo at least 1 step";
wneuper@59248	523	autoCalculate 1 (Step 1);
wneuper@59248	524	autoCalculate 1 (Step 1);
neuper@52105	525	val ((pt, p), _) = get_calc 1;
neuper@52105	526	(*show_pt pt;
neuper@52105	527	[
neuper@52105	528	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	529	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	530	(([1], Res), a / b + c / d + e / f)]
neuper@52105	531	*)
neuper@52105	532	"--- (1) input an arbitrary next formula";
wneuper@59123	533	appendFormula 1 "((a * d) + (c * b)) / (b * d) + e / f" (\|> Future.join);
neuper@52105	534	val ((pt, p), _) = get_calc 1;
neuper@52105	535	(*show_pt pt;
neuper@52105	536	[
neuper@52105	537	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	538	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	539	(([1], Res), a / b + c / d + e / f),
neuper@52105	540	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	541	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	542	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	543	(([2], Res), (a * d + c * b) / (b * d) + e / f)]
neuper@52105	544	*)
neuper@37906	545	val ((pt,p),_) = get_calc 1;
neuper@52105	546	if p = ([2], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031	547	else error ("inform.sml: [rational,simplification] 1");
neuper@37906	548
neuper@52105	549	"--- (2) input the next formula that would be presented by mat-engine";
neuper@52105	550	(* generate a preview:
wneuper@59248	551	autoCalculate 1 (Step 1);
neuper@52105	552	val ((pt, p), _) = get_calc 1;
neuper@52105	553	show_pt pt;
neuper@52105	554	[
neuper@52105	555	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	556	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	557	(([1], Res), a / b + c / d + e / f),
neuper@52105	558	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	559	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	560	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	561	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	562	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))] <--- input this
neuper@52105	563	*)
wneuper@59123	564	appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (\|> Future.join);
neuper@52105	565	val ((pt, p), _) = get_calc 1;
neuper@52105	566	(*show_pt pt;
neuper@52105	567	[
neuper@52105	568	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	569	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	570	(([1], Res), a / b + c / d + e / f),
neuper@52105	571	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	572	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	573	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	574	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	575	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
neuper@52105	576	*)
neuper@52105	577	if p = ([3], Res) andalso (length o children o (get_nd pt)) (fst p) = 0 then ()
neuper@38031	578	else error ("inform.sml: [rational,simplification] 2");
neuper@37906	579
neuper@52105	580	"--- (3) input the exact final result";
wneuper@59123	581	appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (\|> Future.join);
neuper@52105	582	val ((pt, p), _) = get_calc 1;
neuper@52105	583	(*show_pt pt;
neuper@52105	584	[
neuper@52105	585	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	586	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	587	(([1], Res), a / b + c / d + e / f),
neuper@52105	588	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	589	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	590	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	591	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	592	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	593	(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	594	(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	595	(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	596	(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
neuper@52105	597	*)
neuper@52105	598	if p = ([4], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031	599	else error ("inform.sml: [rational,simplification] 3");
neuper@52105	600
neuper@52105	601	"--- (4) finish the calculation + check the postcondition (in the future)";
wneuper@59248	602	autoCalculate 1 CompleteCalc;
neuper@52105	603	val ((pt, p), _) = get_calc 1;
neuper@52105	604	val (t, asm) = get_obj g_result pt [];
neuper@52105	605	if term2str t = "(a * d * f + b * c * f + b * d * e) / (b * d * f)" andalso
neuper@52105	606	terms2str asm = "[\"b * d * f ~= 0\",\"d ~= 0\",\"b ~= 0\"," ^
neuper@52105	607	"\"a * x / (b * x) + c * x / (d * x) + e / f is_ratpolyexp\"]"
neuper@52105	608	then () else error "inform [rational,simplification] changed at end";
neuper@52105	609	(*show_pt pt;
neuper@52105	610	[
neuper@52105	611	(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
neuper@52105	612	(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
neuper@52105	613	(([1], Res), a / b + c / d + e / f),
neuper@52105	614	(([2,1], Frm), a / b + c / d + e / f),
neuper@52105	615	(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	616	(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	617	(([2], Res), (a * d + c * b) / (b * d) + e / f),
neuper@52105	618	(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	619	(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	620	(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	621	(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	622	(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
neuper@52105	623	(([5], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
neuper@52105	624	(([6], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)),
neuper@52105	625	(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))]
neuper@52105	626	*)
wneuper@59252	627	DEconstrCalcTree 1;
neuper@37906	628
neuper@37906	629	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	630	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	631	"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906	632	val t = str2term "Diff (x^^^2 + x + 1, x)";
neuper@37906	633	case t of Const ("Diff.Diff", _) $ _ => ()
neuper@37906	634	\| _ => raise
neuper@37906	635	error "diff.sml behav.changed for CAS Diff (..., x)";
neuper@37906	636	atomty t;
neuper@37906	637	"-----------------------------------------------------------------";
s1210629013@55445	638	(1>)reset_states ();
neuper@37906	639	(2>)CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	640	(3>)Iterator 1;moveActiveRoot 1;
neuper@37906	641	"----- here the Headline has been finished";
neuper@37906	642	(4>)moveActiveFormula 1 ([],Pbl);
neuper@37906	643	(5>)replaceFormula 1 "Diff (x^2 + x + 1, x)";
neuper@37906	644	val ((pt,_),_) = get_calc 1;
neuper@37906	645	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	646	val NONE = env;
neuper@37926	647	val (SOME istate, NONE) = loc;
wneuper@59111	648	default_print_depth 5;
neuper@37906	649	writeln"-----------------------------------------------------------";
neuper@37906	650	spec;
neuper@37924	651	writeln (itms2str_ ctxt probl);
neuper@37924	652	writeln (itms2str_ ctxt meth);
neuper@48895	653	writeln (istate2str (fst istate));
neuper@37906	654
neuper@37906	655	refFormula 1 ([],Pbl) (--> correct CalcHead);
neuper@37906	656	(081016 NOT necessary (but leave it in Java):)
wneuper@59248	657	(6>)(completeCalcHead)autoCalculate 1 CompleteCalcHead;
neuper@37906	658	"----- here the CalcHead has been completed --- ONCE MORE ?????";
neuper@37906	659
neuper@37906	660	(*difference II*)
neuper@37906	661	val ((pt,p),_) = get_calc 1;
neuper@37906	662	(val p = ([], Pbl))
neuper@37906	663	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	664	val NONE = env;
neuper@37926	665	val (SOME istate, NONE) = loc;
wneuper@59111	666	default_print_depth 5; writeln (istate2str (fst istate)); default_print_depth 3;
neuper@37906	667	(*ScrState ([],
neuper@37926	668	[], NONE,
neuper@37906	669	??.empty, Sundef, false)*)
wneuper@59111	670	default_print_depth 5; spec; default_print_depth 3;
neuper@38050	671	(*("Isac",
neuper@37906	672	["derivative_of", "function"],
neuper@37906	673	["diff", "differentiate_on_R"]) : spec*)
neuper@37924	674	writeln (itms2str_ ctxt probl);
neuper@37906	675	(*[
neuper@37906	676	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	677	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	678	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924	679	writeln (itms2str_ ctxt meth);
neuper@37906	680	(*[
neuper@37906	681	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	682	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	683	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906	684	writeln"-----------------------------------------------------------";
neuper@37906	685	(7>)fetchProposedTactic 1 (--> Apply_Method);
neuper@37906	686	(WN081028 fixed <ERROR> helpless </ERROR> by inform returning ...(.,Met))
wneuper@59248	687	autoCalculate 1 CompleteCalc;
neuper@37906	688	val ((pt,p),_) = get_calc 1;
neuper@37906	689	val Form res = (#1 o pt_extract) (pt, ([],Res));
neuper@37906	690	show_pt pt;
neuper@37906	691	if p = ([], Res) andalso term2str res = "1 + 2 * x" then ()
neuper@38031	692	else error "diff.sml behav.changed for Diff (x^2 + x + 1, x)";
wneuper@59252	693	DEconstrCalcTree 1;
neuper@37906	694
neuper@37906	695	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	696	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	697	"--------- Take as 1st tac, start from exp -----------------------";
neuper@37906	698	(*the following input is copied from BridgeLog Java <==> SML,
neuper@37906	699	omitting unnecessary inputs*)
s1210629013@55445	700	(1>)reset_states ();
akargl@42176	701	(2>)CalcTree [(["functionTerm (x^2 + x + 1)", "differentiateFor x", "derivative f_'_f"],("Isac",["derivative_of","function"],["diff","differentiate_on_R"]))];
neuper@37906	702	(3>)Iterator 1; moveActiveRoot 1;
neuper@37906	703
wneuper@59248	704	(6>)(completeCalcHead)autoCalculate 1 CompleteCalcHead;
neuper@37906	705	(*difference II*)
neuper@37906	706	val ((pt,_),_) = get_calc 1;
neuper@37906	707	val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926	708	val NONE = env;
neuper@37926	709	val (SOME istate, NONE) = loc;
wneuper@59111	710	default_print_depth 5; writeln (istate2str (fst istate)); default_print_depth 3;
neuper@37906	711	(*ScrState ([],
neuper@37926	712	[], NONE,
neuper@37906	713	??.empty, Sundef, false)*)
wneuper@59111	714	default_print_depth 5; spec; default_print_depth 3;
neuper@38050	715	(*("Isac",
neuper@37906	716	["derivative_of", "function"],
neuper@37906	717	["diff", "differentiate_on_R"]) : spec*)
neuper@37924	718	writeln (itms2str_ ctxt probl);
neuper@37906	719	(*[
neuper@37906	720	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	721	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	722	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924	723	writeln (itms2str_ ctxt meth);
neuper@37906	724	(*[
neuper@37906	725	(1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906	726	(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176	727	(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906	728	writeln"-----------------------------------------------------------";
neuper@37906	729	(7>)fetchProposedTactic 1 (--> Apply_Method);
wneuper@59248	730	autoCalculate 1 (Step 1);
neuper@37906	731	val ((pt,p),_) = get_calc 1;
neuper@37906	732	val Form res = (#1 o pt_extract) (pt, p);
neuper@37906	733	if term2str res = "d_d x (x ^^^ 2 + x + 1)" then ()
neuper@38031	734	else error "diff.sml Diff (x^2 + x + 1, x) from exp";
wneuper@59252	735	DEconstrCalcTree 1;
neuper@37906	736
neuper@37906	737	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906	738	"--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906	739	"--------- init_form, start with <NEW> (CAS input) ---------------";
s1210629013@55445	740	reset_states ();
neuper@37906	741	CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906	742	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	743	[[from sml: 1
neuper@37906	744	[[from sml: <CALCTREE>
neuper@37906	745	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	746	[[from sml: </CALCTREE>
neuper@37906	747	[[from sml: @@@@@end@@@@@*)
neuper@37906	748	Iterator 1;
neuper@37906	749	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	750	[[from sml: 1
neuper@37906	751	[[from sml: <ADDUSER>
neuper@37906	752	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	753	[[from sml: <USERID> 1 </USERID>
neuper@37906	754	[[from sml: </ADDUSER>
neuper@37906	755	[[from sml: @@@@@end@@@@@*)
neuper@37906	756	moveActiveRoot 1;
neuper@37906	757	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	758	[[from sml: 1
neuper@37906	759	[[from sml: <CALCITERATOR>
neuper@37906	760	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	761	[[from sml: <POSITION>
neuper@37906	762	[[from sml: <INTLIST>
neuper@37906	763	[[from sml: </INTLIST>
neuper@37906	764	[[from sml: <POS> Pbl </POS>
neuper@37906	765	[[from sml: </POSITION>
neuper@37906	766	[[from sml: </CALCITERATOR>
neuper@37906	767	[[from sml: @@@@@end@@@@@*)
neuper@37906	768	getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false;
neuper@37906	769	(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
neuper@37906	770	[[from sml: 1
neuper@37906	771	[[from sml: <GETELEMENTSFROMTO>
neuper@37906	772	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	773	[[from sml: <FORMHEADS>
neuper@37906	774	[[from sml: <CALCFORMULA>
neuper@37906	775	[[from sml: <POSITION>
neuper@37906	776	[[from sml: <INTLIST>
neuper@37906	777	[[from sml: </INTLIST>
neuper@37906	778	[[from sml: <POS> Pbl </POS>
neuper@37906	779	[[from sml: </POSITION>
neuper@37906	780	[[from sml: <FORMULA>
neuper@37906	781	[[from sml: <MATHML>
neuper@37906	782	[[from sml: <ISA> ________________________________________________ </ISA>
neuper@37906	783	[[from sml: </MATHML>
neuper@37906	784	[[from sml:
neuper@37906	785	[[from sml: </FORMULA>
neuper@37906	786	[[from sml: </CALCFORMULA>
neuper@37906	787	[[from sml: </FORMHEADS>
neuper@37906	788	[[from sml: </GETELEMENTSFROMTO>
neuper@37906	789	[[from sml: @@@@@end@@@@@*)
neuper@37906	790	refFormula 1 ([],Pbl);
neuper@37906	791	(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
neuper@37906	792	[[from sml: 1
neuper@37906	793	[[from sml: <REFFORMULA>
neuper@37906	794	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	795	[[from sml: <CALCHEAD status = "incorrect">
neuper@37906	796	[[from sml: <POSITION>
neuper@37906	797	[[from sml: <INTLIST>
neuper@37906	798	[[from sml: </INTLIST>
neuper@37906	799	[[from sml: <POS> Pbl </POS>
neuper@37906	800	[[from sml: </POSITION>
neuper@37906	801	[[from sml: <HEAD>
neuper@37906	802	[[from sml: <MATHML>
neuper@37906	803	[[from sml: <ISA> Problem (e_domID, [e_pblID]) </ISA>
neuper@37906	804	[[from sml: </MATHML>
neuper@37906	805	[[from sml: </HEAD>
neuper@37906	806	[[from sml: <MODEL>
neuper@37906	807	[[from sml: <GIVEN> </GIVEN>
neuper@37906	808	[[from sml: <WHERE> </WHERE>
neuper@37906	809	[[from sml: <FIND> </FIND>
neuper@37906	810	[[from sml: <RELATE> </RELATE>
neuper@37906	811	[[from sml: </MODEL>
neuper@37906	812	[[from sml: <BELONGSTO> Pbl </BELONGSTO>
neuper@37906	813	[[from sml: <SPECIFICATION>
neuper@37906	814	[[from sml: <THEORYID> e_domID </THEORYID>
neuper@37906	815	[[from sml: <PROBLEMID>
neuper@37906	816	[[from sml: <STRINGLIST>
neuper@37906	817	[[from sml: <STRING> e_pblID </STRING>
neuper@37906	818	[[from sml: </STRINGLIST>
neuper@37906	819	[[from sml: </PROBLEMID>
neuper@37906	820	[[from sml: <METHODID>
neuper@37906	821	[[from sml: <STRINGLIST>
neuper@37906	822	[[from sml: <STRING> e_metID </STRING>
neuper@37906	823	[[from sml: </STRINGLIST>
neuper@37906	824	[[from sml: </METHODID>
neuper@37906	825	[[from sml: </SPECIFICATION>
neuper@37906	826	[[from sml: </CALCHEAD>
neuper@37906	827	[[from sml: </REFFORMULA>
neuper@37906	828	[[from sml: @@@@@end@@@@@*)
neuper@37906	829	moveActiveFormula 1 ([],Pbl);
neuper@37906	830	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	831	[[from sml: 1
neuper@37906	832	[[from sml: <CALCITERATOR>
neuper@37906	833	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	834	[[from sml: <POSITION>
neuper@37906	835	[[from sml: <INTLIST>
neuper@37906	836	[[from sml: </INTLIST>
neuper@37906	837	[[from sml: <POS> Pbl </POS>
neuper@37906	838	[[from sml: </POSITION>
neuper@37906	839	[[from sml: </CALCITERATOR>
neuper@37906	840	[[from sml: @@@@@end@@@@@*)
neuper@37906	841	replaceFormula 1 "Simplify (1+2)";
neuper@37906	842	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	843	[[from sml: 1
neuper@37906	844	[[from sml: <REPLACEFORMULA>
neuper@37906	845	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	846	[[from sml: <CALCCHANGED>
neuper@37906	847	[[from sml: <UNCHANGED>
neuper@37906	848	[[from sml: <INTLIST>
neuper@37906	849	[[from sml: </INTLIST>
neuper@37906	850	[[from sml: <POS> Pbl </POS>
neuper@37906	851	[[from sml: </UNCHANGED>
neuper@37906	852	[[from sml: <DELETED>
neuper@37906	853	[[from sml: <INTLIST>
neuper@37906	854	[[from sml: </INTLIST>
neuper@37906	855	[[from sml: <POS> Pbl </POS>
neuper@37906	856	[[from sml: </DELETED>
neuper@37906	857	[[from sml: <GENERATED>
neuper@37906	858	[[from sml: <INTLIST>
neuper@37906	859	[[from sml: </INTLIST>
neuper@37906	860	[[from sml: <POS> Met </POS> DIFFERENCE: Pbl
neuper@37906	861	[[from sml: </GENERATED>
neuper@37906	862	[[from sml: </CALCCHANGED>
neuper@37906	863	[[from sml: </REPLACEFORMULA>
neuper@37906	864	[[from sml: @@@@@end@@@@@*)
neuper@37906	865	getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false(* DIFFERENCE: Pbl*);
neuper@37906	866	(*@@@@@begin@@@@@
neuper@37906	867	1
neuper@37906	868	<GETELEMENTSFROMTO>
neuper@37906	869	<CALCID> 1 </CALCID>
neuper@37906	870	<FORMHEADS>
neuper@37906	871	<CALCFORMULA>
neuper@37906	872	<POSITION>
neuper@37906	873	<INTLIST>
neuper@37906	874	</INTLIST>
neuper@37906	875	<POS> Pbl </POS>
neuper@37906	876	</POSITION>
neuper@37906	877	<FORMULA>
neuper@37906	878	<MATHML>
neuper@37906	879	<ISA> Simplify (1 + 2) </ISA> WORKS !!!!!
neuper@37906	880	</MATHML>
neuper@37906	881	</FORMULA>
neuper@37906	882	</CALCFORMULA>
neuper@37906	883	</FORMHEADS>
neuper@37906	884	</GETELEMENTSFROMTO>
neuper@37906	885	@@@@@end@@@@@*)
neuper@37906	886	getFormulaeFromTo 1 ([],Pbl) ([],Met) 0 false;
neuper@37906	887	(*[[from sml: > @@@@@begin@@@@@
neuper@37906	888	[[from sml: 1
neuper@37906	889	[[from sml: <SYSERROR>
neuper@37906	890	[[from sml: <CALCID> 1 </CALCID>
neuper@37906	891	[[from sml: <ERROR> error in getFormulaeFromTo </ERROR>
neuper@37906	892	[[from sml: </SYSERROR>
neuper@37906	893	[[from sml: @@@@@end@@@@@*)
neuper@37906	894	(step into getFormulaeFromTo --- bug corrected...)
neuper@42423	895
neuper@42423	896	"--------- build fun check_err_patt ------------------------------";
neuper@42423	897	"--------- build fun check_err_patt ------------------------------";
neuper@42423	898	"--------- build fun check_err_patt ------------------------------";
neuper@42426	899	val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42423	900	val rls = norm_Rational
neuper@42423	901	val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423	902	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42423	903	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "1 / 2");
neuper@42423	904
neuper@42426	905	val (res', _, _, rewritten) = (rewritten: the lhs of the pattern matches in res)
neuper@42423	906	rew_sub thy 1 [] e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42423	907	if rewritten then NONE else SOME "e_errpatID";
neuper@42423	908
neuper@42423	909	val norm_res = case rewrite_set_ (Isac()) false rls res' of
neuper@42423	910	NONE => res'
neuper@42423	911	\| SOME (norm_res, _) => norm_res
neuper@42423	912
neuper@42423	913	val norm_inf = case rewrite_set_ (Isac()) false rls inf of
neuper@42423	914	NONE => inf
neuper@42423	915	\| SOME (norm_inf, _) => norm_inf;
neuper@42423	916
neuper@42423	917	res' = inf;
neuper@42423	918	norm_res = norm_inf;
neuper@42423	919
neuper@42423	920	val pat = parse_patt @{theory} "(?a + ?b)/?a = ?b";
neuper@42423	921	val (res, inf) = (str2term "(2 + 3)/2", str2term "3");
neuper@42426	922	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	923	then () else error "error patt example1 changed";
neuper@42423	924
neuper@42423	925	val pat = parse_patt @{theory} "(?a + ?b)/(?a + ?c) = ?b / ?c";
neuper@42423	926	val (res, inf) = (str2term "(2 + 3)/(2 + 4)", str2term "3 / 4");
neuper@42426	927	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	928	then () else error "error patt example2 changed";
neuper@42423	929
neuper@42423	930	val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423	931	val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
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@42423	935	val inf = str2term "1 / 2";
neuper@42426	936	if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423	937	then () else error "error patt example3 changed";
neuper@42423	938
neuper@42426	939	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	940	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	941	"--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426	942	val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42426	943	val t = str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))";
neuper@42426	944	val SOME (t, _) = rewrite_set_inst_ thy false subst norm_diff t;
neuper@42426	945	if term2str t = "2 * x + cos (x ^^^ 4) * 4 * x ^^^ 3" then ()
neuper@42426	946	else error "build fun check_err_patt ?bdv changed 1";
neuper@42423	947
neuper@42426	948	val rls = norm_diff
neuper@42426	949	val pat = parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)";
neuper@42426	950	val (res, inf) = (str2term "2 * x + d_d x (sin (x ^^^ 4))", str2term "2 * x + cos (4 * x ^^^ 3)");
neuper@42426	951
neuper@42426	952	val (res', _, _, rewritten) = (rewritten: the lhs of the pattern matches in res)
neuper@42426	953	rew_sub thy 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42426	954	if term2str res' = "2 * x + cos (d_d x (x ^^^ 4))" andalso rewritten then ()
neuper@42426	955	else error "build fun check_err_patt ?bdv changed 2";
neuper@42426	956
neuper@42426	957	val norm_res = case rewrite_set_inst_ (Isac()) false subst rls res' of
neuper@42426	958	NONE => res'
neuper@42426	959	\| SOME (norm_res, _) => norm_res;
neuper@42426	960	if term2str norm_res = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426	961	else error "build fun check_err_patt ?bdv changed 3";
neuper@42426	962
neuper@42426	963	val norm_inf = case rewrite_set_inst_ (Isac()) false subst rls inf of
neuper@42426	964	NONE => inf
neuper@42426	965	\| SOME (norm_inf, _) => norm_inf;
neuper@42426	966	if term2str norm_inf = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426	967	else error "build fun check_err_patt ?bdv changed 4";
neuper@42426	968
neuper@42426	969	res' = inf;
neuper@42426	970	if norm_res = norm_inf then ()
neuper@42426	971	else error "build fun check_err_patt ?bdv changed 5";
neuper@42426	972
neuper@42426	973	if check_err_patt (res, inf) (subst: subst) ("errpatID": errpatID, pat) rls = SOME "errpatID"
neuper@42426	974	then () else error "error patt example1 changed";
neuper@42426	975
neuper@42428	976	"--------- build fun check_error_patterns ------------------------";
neuper@42428	977	"--------- build fun check_error_patterns ------------------------";
neuper@42428	978	"--------- build fun check_error_patterns ------------------------";
neuper@42428	979	val (res, inf) =
neuper@42428	980	(str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))",
neuper@42428	981	str2term "d_d x (x ^^^ 2) + cos (4 * x ^^^ 3)");
neuper@48790	982	val {errpats, nrls = rls, scr = Prog prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@42426	983
neuper@42428	984	val env = [(str2term "v_v", str2term "x")];
neuper@42428	985	val errpats =
neuper@42428	986	[e_errpat, (generalised for testing)
neuper@42428	987	("chain-rule-diff-both",
neuper@42428	988	[parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)",
neuper@42428	989	parse_patt @{theory} "d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)",
neuper@42428	990	parse_patt @{theory} "d_d ?bdv (?u ^^^ ?n) = ?n * ?u ^^^ (?n - 1)",
neuper@42428	991	parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / ?u",
neuper@42428	992	parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u"],
neuper@42428	993	[@{thm diff_sin_chain}, @{thm diff_cos_chain}, @{thm diff_pow_chain},
neuper@42428	994	@{thm diff_ln_chain}, @{thm diff_exp_chain}])]: errpat list;
neuper@42428	995	case check_error_patterns (res, inf) (prog, env) (errpats, rls) of SOME _ => ()
neuper@42428	996	\| NONE => error "check_error_patterns broken";
wneuper@59252	997	DEconstrCalcTree 1;
neuper@42428	998
neuper@42428	999	"--------- embed fun check_error_patterns ------------------------";
neuper@42428	1000	"--------- embed fun check_error_patterns ------------------------";
neuper@42428	1001	"--------- embed fun check_error_patterns ------------------------";
s1210629013@55445	1002	reset_states ();
neuper@42428	1003	CalcTree
neuper@42428	1004	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42428	1005	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42428	1006	Iterator 1;
neuper@42428	1007	moveActiveRoot 1;
wneuper@59248	1008	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1009	autoCalculate 1 (Step 1);
wneuper@59248	1010	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59248	1011	(autoCalculate 1 (Step 1);([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) d_d x (x ^^^ 4)*)
neuper@42428	1012
neuper@42428	1013	"~~~~~ fun appendFormula, args:"; val (cI, (ifo:cterm')) = (1, "d_d x (x ^ 2) + cos (4 * x ^ 3)");
neuper@42428	1014	val cs = get_calc cI
neuper@42428	1015	val pos as (_,p_) = get_pos cI 1; (pos = ([1], Res))
neuper@42428	1016	val cs' =
neuper@42428	1017	case step pos cs of
neuper@42428	1018	("ok", cs') => cs';
neuper@42428	1019
neuper@42428	1020	val (_, _, (pt, ([2], Res))) = cs';
neuper@42428	1021	(*show_pt pt;
neuper@42428	1022	[(([], Frm), Diff (x ^^^ 2 + sin (x ^^^ 4), x)),
neuper@42428	1023	(([1], Frm), d_d x (x ^^^ 2 + sin (x ^^^ 4))),
neuper@42428	1024	(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))), <<=== input follos: "...+ cos(4.x^3)"
neuper@42428	1025	(([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4))] *)
neuper@42428	1026
neuper@42428	1027	"~~~~~ fun inform, args:"; val ((cs as (_, _, ptp as (pt, pos as (p, p_))): calcstate'), istr) =
neuper@42428	1028	(cs', (encode ifo));
neuper@42428	1029	val SOME f_in = parse (assoc_thy "Isac") istr
wneuper@59188	1030	val f_in = Thm.term_of f_in
neuper@42428	1031	val pos_pred = lev_back' pos
neuper@42428	1032	(* f_pred ---"step pos cs"---> f_succ in appendFormula
neuper@42428	1033	TODO.WN120517: one starting point for redesign of pos' *)
neuper@42432	1034	val (f_pred, f_succ) = (get_curr_formula (pt, pos_pred), get_curr_formula (pt, pos));
neuper@42428	1035
neuper@42428	1036	term2str f_pred = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))";
neuper@42428	1037	term2str f_succ = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)";
neuper@42428	1038
neuper@42428	1039	f_succ = f_in; (* = false*)
neuper@42428	1040	cas_input f_in; (* = NONE*)
neuper@42428	1041	val msg_calcstate' = compare_step ([], [], (pt, pos_pred)) f_in
neuper@42428	1042	val ("no derivation found", calcstate') = msg_calcstate';
neuper@42428	1043	val pp = par_pblobj pt p
neuper@48790	1044	val {errpats, nrls, scr = Prog prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42428	1045	val ScrState (env, _, _, _, _, _) = get_istate pt pos;
neuper@42428	1046	case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428	1047	SOME errpatID => ("error pattern #" ^ errpatID ^ "#", calcstate')
neuper@42428	1048	\| NONE => msg_calcstate';
neuper@42428	1049
neuper@42428	1050	"~~~~~ from inform return val:"; val () = ();
neuper@42428	1051	case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428	1052	SOME errpatID => ()
neuper@42428	1053	\| NONE => error "check_error_patterns broken";
neuper@42428	1054
neuper@42428	1055	"--- final check:";
neuper@42428	1056	case inform cs' (encode ifo) of
neuper@42428	1057	("error pattern #chain-rule-diff-both#", calcstate') => ()
neuper@42428	1058	\| _ => error "inform with (positive) check_error_patterns broken"
neuper@42428	1059
neuper@48895	1060	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1061	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1062	"--------- build fun get_fillpats --------------------------------";
neuper@48895	1063	(*cause for this test was: wrong thy in Build_Thydata.thy in
neuper@48895	1064	insert_fillpats ["IsacKnowledge", "Diff", "Theorems", "diff_sin_chain"]*)
neuper@48895	1065	val f_curr = str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"
neuper@48895	1066	val errpatID = "chain-rule-diff-both"
neuper@48895	1067	val {errpats, scr = Prog prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@48895	1068	val env =
neuper@48895	1069	[(str2term "f_f", str2term "x ^^^ 2 + sin (x ^^^ 4)"),
neuper@48895	1070	(str2term "v_v", str2term "x"),
neuper@48895	1071	(str2term "f_f'", str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))")]
neuper@48895	1072	val subst = get_bdv_subst prog env
neuper@48895	1073	val errpatthms = errpats
neuper@48895	1074	\|> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@48895	1075	\|> map (#3: errpat -> thm list)
neuper@48895	1076	\|> flat;
neuper@48895	1077	"~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@48895	1078	(subst, f_curr, errpatID, hd (simulate beginning of "map") errpatthms);
neuper@48895	1079	val thmDeriv = Thm.get_name_hint thm
neuper@48895	1080	val (part, thyID) = thy_containing_thm thmDeriv
neuper@48895	1081	val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@48895	1082	val Hthm {fillpats, ...} = get_the theID
neuper@48895	1083	val some = map (get_fillform subst (thm, form) errpatID) fillpats;
neuper@48895	1084	"~~~~~ fun get_fillform, args:";
neuper@48895	1085	val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
neuper@48895	1086	(subst, (thm, form), errpatID, hd (simulate beginning of "map") fillpats);
neuper@48895	1087	val (form', _, _, rewritten) =
neuper@48895	1088	rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@48895	1089	"~~~~~ fun rew_sub, args:"; val (thy, i, bdv, tless, rls, put_asm, lrd:lrd list, r, t) =
neuper@48895	1090	((Isac()), 1, subst, e_rew_ord, e_rls, false, [], (Trueprop $ pat), form);
neuper@48895	1091	val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop
neuper@48895	1092	o Logic.strip_imp_concl) r;
neuper@48895	1093	(/-------------catch the planned exception)
neuper@48895	1094	(let
neuper@48895	1095	val r' = Envir.subst_term (Pattern.match thy (lhs, t)
neuper@48895	1096	(Vartab.empty, Vartab.empty)) r;
neuper@48895	1097	in 111 end
neuper@48895	1098	) handle PATTERN (because only a subterm matches) => 111;
neuper@48895	1099	case t of t1 $ t2 =>
neuper@48895	1100	let val (t2', asm2, lrd, rew2) = rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2
neuper@48895	1101	in
neuper@48895	1102	if rew2 then (t1 $ t2', asm2, lrd, true) else
neuper@48895	1103	let val (t1', asm1, lrd, rew1) = rew_sub thy i bdv tless rls put_asm (lrd@[L]) r t1
neuper@48895	1104	in if rew1 then (t1' $ t2, asm1, lrd, true) else (t1 $ t2,[], lrd, false) end
neuper@48895	1105	end;
neuper@48895	1106	(catch the planned exception-------------/)
neuper@48895	1107
neuper@48895	1108	val t1 $ t2 = t;
neuper@48895	1109	val (t2', asm2, lrd, rew2) = rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2;
neuper@48895	1110	"~~~~~ fun rew_sub, args:"; val (thy, i, bdv, tless, rls, put_asm, lrd:lrd list, r, t) =
neuper@48895	1111	(thy, i, bdv, tless, rls, put_asm, (lrd@[R]), r, t2);
neuper@48895	1112	val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl) r;
neuper@48895	1113	val r' = Envir.subst_term (Pattern.match thy (lhs, t) (Vartab.empty, Vartab.empty)) r;
neuper@48895	1114	val p' = map HOLogic.dest_Trueprop ((fst o Logic.strip_prems) (Logic.count_prems r', [], r'));
neuper@48895	1115	val t' = (snd o HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl) r';
neuper@48895	1116	if term2str t' = "cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@48895	1117	else error "get_fillpats changed 1"
wneuper@59252	1118	DEconstrCalcTree 1;
neuper@48895	1119
neuper@42430	1120	"--------- embed fun find_fillpatterns ---------------------------";
neuper@42430	1121	"--------- embed fun find_fillpatterns ---------------------------";
neuper@42430	1122	"--------- embed fun find_fillpatterns ---------------------------";
s1210629013@55445	1123	reset_states ();
neuper@42430	1124	CalcTree
neuper@42430	1125	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42430	1126	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42430	1127	Iterator 1;
neuper@42430	1128	moveActiveRoot 1;
wneuper@59248	1129	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1130	autoCalculate 1 (Step 1);
wneuper@59248	1131	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59123	1132	appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)" (\|> Future.join);
neuper@42430	1133	(<CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>)
neuper@42432	1134	(*or
neuper@42432	1135	<CALCMESSAGE> no derivation found </CALCMESSAGE>*)
neuper@42430	1136
neuper@42433	1137	"~~~~~ fun findFillpatterns, args:"; val (cI, errpatID) = (1, "chain-rule-diff-both");
neuper@42430	1138	val ((pt, _), _) = get_calc cI
neuper@42430	1139	val pos = get_pos cI 1;
neuper@42432	1140	"~~~~~ fun find_fillpatterns, args:"; val ((pt, pos as (p, _)), errpatID) = ((pt, pos), errpatID);
neuper@42432	1141	val f_curr = get_curr_formula (pt, pos); (* = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"*)
neuper@42430	1142	val pp = par_pblobj pt p
neuper@48895	1143	val {errpats, scr = Prog prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42430	1144	val ScrState (env, _, _, _, _, _) = get_istate pt pos
neuper@42430	1145	val subst = get_bdv_subst prog env
neuper@42430	1146	val errpatthms = errpats
neuper@42430	1147	\|> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@42430	1148	\|> map (#3: errpat -> thm list)
neuper@42430	1149	\|> flat;
neuper@42430	1150
neuper@42430	1151	case map (get_fillpats subst f_curr errpatID) errpatthms \|> flat of
neuper@42433	1152	("fill-d_d-arg", tm, thm, subs_opt) :: _ => if term2str tm =
neuper@42432	1153	"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	1154	then () else error "find_fillpatterns changed 1a"
neuper@42432	1155	\| _ => error "find_fillpatterns changed 1b"
neuper@42430	1156
neuper@42430	1157	"~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@42432	1158	(subst, f_curr, errpatID, hd (simulate beginning of "map") errpatthms);
neuper@42430	1159	val thmDeriv = Thm.get_name_hint thm
neuper@42430	1160	val (part, thyID) = thy_containing_thm thmDeriv
neuper@42430	1161	val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@42430	1162	val Hthm {fillpats, ...} = get_the theID
neuper@42433	1163	val some = map (get_fillform subst (thm, form) errpatID) fillpats;
neuper@42430	1164
neuper@42430	1165	case some \|> filter is_some \|> map the of
neuper@42433	1166	("fill-d_d-arg", tm, thm, subsopt) :: _ => if term2str tm =
neuper@42432	1167	"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	1168	then () else error "find_fillpatterns changed 2a"
neuper@42432	1169	\| _ => error "find_fillpatterns changed 2b"
neuper@42430	1170
neuper@42433	1171	"~~~~~ fun get_fillform, args:";
neuper@42433	1172	val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
neuper@42433	1173	(subst, (thm, form), errpatID, hd (simulate beginning of "map") fillpats);
neuper@42433	1174	val (form', _, _, rewritten) =
neuper@42432	1175	rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@42432	1176
neuper@42432	1177	if term2str form' = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@42432	1178	else error "find_fillpatterns changed 3";
neuper@42432	1179
neuper@42433	1180	"~~~~~ to findFillpatterns return val:"; val (fillpats) =
neuper@42433	1181	(map (get_fillpats (subs_opt, subst) f_curr errpatID) errpatthms \|> flat) (only from "hd errpatthms");
neuper@42432	1182
neuper@42450	1183	"vvv--- dropped this code WN120730";
neuper@42433	1184	val msg = "fill patterns " ^
neuper@42433	1185	((map ((apsnd term2str) o quad2pair) fillpats) \|> map pair2str_ \|> strs2str_);
neuper@42450	1186	msg =
neuper@42432	1187	"fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1188	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" ^
neuper@42432	1189	"#fill-both-args#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1190	" =\nd_d x (x ^^^ 2) + cos ?_dummy_2 * d_d x ?_dummy_3" ^
neuper@42432	1191	"#fill-d_d#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1192	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1 x (x ^^^ 4)" ^
neuper@42432	1193	"#fill-inner-deriv#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432	1194	" =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1" ^
neuper@42450	1195	"#fill-all#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) = d_d x (x ^^^ 2) + ?_dummy_1#";
neuper@42450	1196	"^^^--- dropped this code WN120730";
neuper@42450	1197
neuper@42450	1198	if (map #1 fillpats) =
neuper@42450	1199	["fill-d_d-arg", "fill-both-args", "fill-d_d", "fill-inner-deriv", "fill-all"]
neuper@42450	1200	then () else error "find_fillpatterns changed 4b";
wneuper@59252	1201	DEconstrCalcTree 1;
neuper@42450	1202
neuper@42437	1203	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@42437	1204	"--------- build fun is_exactly_equal, inputFillFormula ----------";
neuper@42437	1205	"--------- build fun is_exactly_equal, inputFillFormula ----------";
s1210629013@55445	1206	reset_states ();
neuper@42437	1207	CalcTree
neuper@42437	1208	[(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"],
neuper@42437	1209	("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42437	1210	Iterator 1;
neuper@42437	1211	moveActiveRoot 1;
wneuper@59248	1212	autoCalculate 1 CompleteCalcHead;
wneuper@59248	1213	autoCalculate 1 (Step 1);
wneuper@59248	1214	autoCalculate 1 (Step 1);(([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)))
wneuper@59123	1215	appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)" (\|> Future.join); (<<<<<<<=========================)
neuper@42437	1216	(* the check for errpat is maximally liberal (whole term modulo "nrls" from "type met"),
neuper@42437	1217	would recognize "cos (4 * x ^ (4 - 1)) + 2 * x" as well.
neuper@42437	1218	results in <CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>
neuper@42437	1219	instead of <CALCMESSAGE> no derivation found </CALCMESSAGE> *)
neuper@42437	1220	val ((pt,pos), _) = get_calc 1;
neuper@42437	1221	val p = get_pos 1 1;
neuper@42437	1222	val (Form f, _, asms) = pt_extract (pt, p);
neuper@42437	1223
wneuper@59253	1224	if p = ([1], Res) andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" then
wneuper@59253	1225	case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1226	("diff_sum", thm)) =>
wneuper@59253	1227	if (term2str o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
wneuper@59253	1228	else error "embed fun get_fillform changed 11"
wneuper@59253	1229	\| _ => error "embed fun get_fillform changed 12"
wneuper@59253	1230	else error "embed fun get_fillform changed 13";
neuper@42437	1231
neuper@42437	1232	findFillpatterns 1 "chain-rule-diff-both"; (<<<<<<<=================================)
neuper@42437	1233	(*<CALCMESSAGE> fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =
neuper@42437	1234	d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1#fill-both-args#...#...#... *)
neuper@42437	1235	val ((pt,pos),_) = get_calc 1;
neuper@42437	1236	val p = get_pos 1 1;
neuper@42437	1237
neuper@42437	1238	val (Form f, _, asms) = pt_extract (pt, p);
wneuper@59253	1239	if p = ([1], Res) andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" then
wneuper@59253	1240	case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1241	("diff_sum", thm)) =>
wneuper@59253	1242	if (term2str o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
wneuper@59253	1243	else error "embed fun get_fillform changed 21"
wneuper@59253	1244	\| _ => error "embed fun get_fillform changed 22"
wneuper@59253	1245	else error "embed fun get_fillform changed 23";
neuper@42437	1246
neuper@42437	1247	requestFillformula 1 ("chain-rule-diff-both", "fill-both-args");(<<<<<<<============)
neuper@42437	1248	(<AUTOCALC> ([1], Res) ([2], Res) ([2], Res) </AUTOCALC>)
neuper@42437	1249	val ((pt,pos),_) = get_calc 1;
neuper@42437	1250	val p = get_pos 1 1;
neuper@42437	1251	val (Form f, _, asms) = pt_extract (pt, p);
wneuper@59253	1252	if p = ([1], Res) andalso existpt [2] pt
wneuper@59253	1253	andalso term2str f = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"
wneuper@59253	1254	then case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1255	("diff_sum", thm)) =>
wneuper@59253	1256	if (term2str o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
wneuper@59253	1257	else error "embed fun get_fillform changed 31"
wneuper@59253	1258	\| _ => error "embed fun get_fillform changed 32"
wneuper@59253	1259	else error "embed fun get_fillform changed 33";
neuper@42437	1260
neuper@42437	1261	(* input a formula which exactly fills the gaps in a "fillformula"
neuper@42437	1262	presented to the learner immediately before by "requestFillformula (errpatID, fillpatID)":
neuper@42437	1263	errpatID: lhs of the respective thm = lhs of fillformula with fillpatID.
neuper@42437	1264	the respective thm is in the ctree ................
neuper@42437	1265	*)
neuper@42437	1266	"~~~~~ fun inputFillFormula, args:"; val (cI, ifo) =
neuper@42437	1267	(1, "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)");
neuper@42437	1268	val ((pt, _), _) = get_calc cI
neuper@42437	1269	val pos = get_pos cI 1;
neuper@42437	1270
neuper@42437	1271	"~~~~~ fun is_exactly_equal, args:"; val ((pt, pos as (p, p_)), istr) = ((pt, pos), ifo);
neuper@42437	1272	val SOME ifo = parseNEW (assoc_thy "Isac" \|> thy2ctxt) istr
neuper@42437	1273	val p' = lev_on p;
neuper@42437	1274	val tac = get_obj g_tac pt p';
wneuper@59252	1275	val Rewrite_Inst ([bbb as "(bdv, x)"], ("diff_sin_chain", ttt)) = tac;
wneuper@59253	1276	if (term2str o Thm.prop_of) ttt = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
wneuper@59252	1277	else error "inputFillFormula changed 10";
neuper@42437	1278	val Appl rew = applicable_in pos pt tac;
neuper@42437	1279	val Rewrite_Inst' (_, _, _, _, _, _, _, (res, _)) = rew;
neuper@42437	1280
neuper@42437	1281	"~~~~~ to inputFillFormula return val:"; val ("ok", tac) = ("ok", tac);
neuper@42437	1282	val ("ok", (_, c, ptp as (_,p'))) = locatetac tac (pt, pos);
neuper@42437	1283	upd_calc cI (ptp, []);
neuper@42437	1284	upd_ipos cI 1 p';
neuper@42437	1285	autocalculateOK2xml cI pos (if null c then p' else last_elem c) p';
neuper@42437	1286
neuper@42437	1287	"~~~~~ final check:";
neuper@42437	1288	val ((pt, _),_) = get_calc 1;
neuper@42437	1289	val p = get_pos 1 1;
neuper@42437	1290	val (Form f, _, asms) = pt_extract (pt, p);
wneuper@59253	1291	if p = ([2], Res) andalso term2str f = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)"
wneuper@59253	1292	then case get_obj g_tac pt (fst p) of Rewrite_Inst (["(bdv, x)"],
wneuper@59253	1293	("diff_sin_chain", thm)) =>
wneuper@59253	1294	if (term2str o Thm.prop_of) thm = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
wneuper@59253	1295	else error "inputFillFormula changed 111"
wneuper@59253	1296	\| _ => error "inputFillFormula changed 112"
wneuper@59253	1297	else error "inputFillFormula changed 113";
neuper@42437	1298
wneuper@59262	1299	"--------- fun appl_adds -----------------------------------------";
wneuper@59262	1300	"--------- fun appl_adds -----------------------------------------";
wneuper@59262	1301	"--------- fun appl_adds -----------------------------------------";
wneuper@59262	1302	(* val (dI, oris, ppc, pbt, selct::ss) =
wneuper@59262	1303	(dI, pors, probl, ppc, map itms2fstr probl);
wneuper@59262	1304	...vvv
wneuper@59262	1305	*)
wneuper@59262	1306	(* val (dI, oris, ppc, pbt, (selct::ss))=
wneuper@59262	1307	(#1 (some_spec ospec spec), oris, []:itm list,
wneuper@59262	1308	((#ppc o get_pbt) (#2 (some_spec ospec spec))),(imodel2fstr imodel));
wneuper@59262	1309	val iii = appl_adds dI oris ppc pbt (selct::ss);
wneuper@59262	1310	tracing(itms2str_ thy iii);
wneuper@59262	1311
wneuper@59262	1312	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1313	val ppc = insert_ppc' itm ppc;
wneuper@59262	1314
wneuper@59262	1315	val _::selct::ss = (selct::ss);
wneuper@59262	1316	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1317	val ppc = insert_ppc' itm ppc;
wneuper@59262	1318
wneuper@59262	1319	val _::selct::ss = (selct::ss);
wneuper@59262	1320	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1321	val ppc = insert_ppc' itm ppc;
wneuper@59262	1322	tracing(itms2str_ thy ppc);
wneuper@59262	1323
wneuper@59262	1324	val _::selct::ss = (selct::ss);
wneuper@59262	1325	val itm = appl_add' dI oris ppc pbt selct;
wneuper@59262	1326	val ppc = insert_ppc' itm ppc;
wneuper@59262	1327	*)
wneuper@59264	1328	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	1329	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	1330	"--------- fun concat_deriv --------------------------------------";
wneuper@59264	1331	(*
wneuper@59264	1332	val ({rew_ord, erls, rules,...}, fo, ifo) =
wneuper@59264	1333	(rep_rls Test_simplify, str2term "x+1+ -12=0", str2term "-21+(x+1)=0");
wneuper@59264	1334	(tracing o trtas2str) fod';
wneuper@59264	1335	> ["
wneuper@59264	1336	(x + 1 + -1 * 2 = 0, Thm ("radd_commute","?m + ?n = ?n + ?m"), (-1 * 2 + (x + 1) = 0, []))","
wneuper@59264	1337	(-1 * 2 + (x + 1) = 0, Thm ("radd_commute","?m + ?n = ?n + ?m"), (-1 * 2 + (1 + x) = 0, []))","
wneuper@59264	1338	(-1 * 2 + (1 + x) = 0, Thm ("radd_left_commute","?x + (?y + ?z) = ?y + (?x + ?z)"), (1 + (-1 * 2 + x) = 0, []))","
wneuper@59264	1339	(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	1340	val it = () : unit
wneuper@59264	1341	(tracing o trtas2str) (map rev_deriv' rifod');
wneuper@59264	1342	> ["
wneuper@59264	1343	(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	1344	(1 + (-2 * 1 + x) = 0, Thm ("sym_radd_left_commute","?y + (?x + ?z) = ?x + (?y + ?z)"), (-2 * 1 + (1 + x) = 0, []))","
wneuper@59264	1345	(-2 * 1 + (1 + x) = 0, Thm ("sym_radd_commute","?n + ?m = ?m + ?n"), (-2 * 1 + (x + 1) = 0, []))"]
wneuper@59264	1346	val it = () : unit
wneuper@59264	1347	*)
wneuper@59264	1348	"--------- handle an input formula -------------------------------";
wneuper@59264	1349	"--------- handle an input formula -------------------------------";
wneuper@59264	1350	"--------- handle an input formula -------------------------------";
wneuper@59264	1351	(*
wneuper@59264	1352	Untersuchung zur Formeleingabe (appendFormula, replaceFormla) zu einer Anregung von Alan Krempler:
wneuper@59264	1353	Welche RICHTIGEN Formeln koennen NICHT abgeleitet werden,
wneuper@59264	1354	wenn Abteilungen nur auf gleichem Level gesucht werden ?
wneuper@59264	1355	WN.040216
wneuper@59264	1356
wneuper@59264	1357	Beispiele zum Equationsolver von Richard Lang aus /src/sml/kbtest/rlang.sml
wneuper@59264	1358
wneuper@59264	1359	------------------------------------------------------------------------------
wneuper@59264	1360	"Schalk I s.87 Bsp 52a ((5*x)/(x - 2) - x/(x+2)=4)";
wneuper@59264	1361	------------------------------------------------------------------------------
wneuper@59264	1362	1. "5 * x / (x - 2) - x / (x + 2) = 4"
wneuper@59264	1363	...
wneuper@59264	1364	4. "12 * x + 4 * x ^^^ 2 = 4 * (-4 + x ^^^ 2)",Subproblem["normalize", "poly"..
wneuper@59264	1365	...
wneuper@59264	1366	4.3. "16 + 12 * x = 0", Subproblem["degree_1", "polynomial", "univariate"..
wneuper@59264	1367	...
wneuper@59264	1368	4.3.3. "[x = -4 / 3]")), Check_elementwise "Assumptions"
wneuper@59264	1369	...
wneuper@59264	1370	"[x = -4 / 3]"
wneuper@59264	1371	------------------------------------------------------------------------------
wneuper@59264	1372	(1)..(6): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite verschiebt [Ableitung ware in 4.3.n]
wneuper@59264	1373
wneuper@59264	1374	(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	1375	------------------------------------------------------------------------------
wneuper@59264	1376
wneuper@59264	1377
wneuper@59264	1378	------------------------------------------------------------------------------
wneuper@59264	1379	"Schalk I s.87 Bsp 55b (x/(x^^^2 - 6x+9) - 1/(x^^^2 - 3x) =1/x)";
wneuper@59264	1380	------------------------------------------------------------------------------
wneuper@59264	1381	1. "x / (x ^^^ 2 - 6 * x + 9) - 1 / (x ^^^ 2 - 3 * x) = 1 / x"
wneuper@59264	1382	...
wneuper@59264	1383	4. "(3 + (-1 * x + x ^^^ 2)) * x = 1 * (9 * x + (x ^^^ 3 + -6 * x ^^^ 2))"
wneuper@59264	1384	Subproblem["normalize", "polynomial", "univariate"..
wneuper@59264	1385	...
wneuper@59264	1386	4.4. "-6 * x + 5 * x ^^^ 2 = 0", Subproblem["bdv_only", "degree_2", "poly"..
wneuper@59264	1387	...
wneuper@59264	1388	4.4.4. "[x = 0, x = 6 / 5]", Check_elementwise "Assumptions"
wneuper@59264	1389	4.4.5. "[x = 0, x = 6 / 5]"
wneuper@59264	1390	...
wneuper@59264	1391	5. "[x = 0, x = 6 / 5]", Check_elementwise "Assumptions"
wneuper@59264	1392	"[x = 6 / 5]"
wneuper@59264	1393	------------------------------------------------------------------------------
wneuper@59264	1394	(1)..(4): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite schiebt [Ableitung waere in 4.4.x]
wneuper@59264	1395
wneuper@59264	1396	(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	1397	------------------------------------------------------------------------------
wneuper@59264	1398
wneuper@59264	1399
wneuper@59264	1400	------------------------------------------------------------------------------
wneuper@59264	1401	"Schalk II s.56 Bsp 73b (sqrt(x+1)+sqrt(4x+4)=sqrt(9x+9))";
wneuper@59264	1402	------------------------------------------------------------------------------
wneuper@59264	1403	1. "sqrt (x + 1) + sqrt (4 * x + 4) = sqrt (9 * x + 9)"
wneuper@59264	1404	...
wneuper@59264	1405	6. "13 + 13 * x + -2 * sqrt ((4 + 4 * x) * (9 + 9 * x)) = 1 + x"
wneuper@59264	1406	Subproblem["sq", "root'", "univariate", "equation"]
wneuper@59264	1407	...
wneuper@59264	1408	6.6. "144 + 288 * x + 144 * x ^^^ 2 = 144 + x ^^^ 2 + 288 * x + 143 * x ^^^ 2"
wneuper@59264	1409	Subproblem["normalize", "polynomial", "univariate", "equation"]
wneuper@59264	1410	...
wneuper@59264	1411	6.6.3 "0 = 0" Subproblem["degree_0", "polynomial", "univariate", "equation"]
wneuper@59264	1412	... Or_to_List
wneuper@59264	1413	6.6.3.2 "UniversalList"
wneuper@59264	1414	------------------------------------------------------------------------------
wneuper@59264	1415	(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	1416
wneuper@59264	1417	(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	1418	------------------------------------------------------------------------------
wneuper@59264	1419	*)
wneuper@59264	1420	(sh. comments auf 498)
wneuper@59264	1421	"--------- fun dropwhile' ----------------------------------------";
wneuper@59264	1422	"--------- fun dropwhile' ----------------------------------------";
wneuper@59264	1423	"--------- fun dropwhile' ----------------------------------------";
wneuper@59264	1424	(*
wneuper@59264	1425	fun equal a b = a=b;
wneuper@59264	1426	val foder = [0,1,2,3,4,5]; val ifoder = [11,12,3,4,5];
wneuper@59264	1427	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1428	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1429	> vval it = ([0, 1, 2, 3], [3, 12, 11]) : int list * int list
wneuper@59264	1430
wneuper@59264	1431	val foder = [3,4,5]; val ifoder = [11,12,3,4,5];
wneuper@59264	1432	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1433	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1434	> val it = ([3], [3, 12, 11]) : int list * int list
wneuper@59264	1435
wneuper@59264	1436	val foder = [5]; val ifoder = [11,12,3,4,5];
wneuper@59264	1437	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1438	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1439	> val it = ([5], [5, 4, 3, 12, 11]) : int list * int list
wneuper@59264	1440
wneuper@59264	1441	val foder = [10,11,12,13,14,15]; val ifoder = [11,12,3,4,5];
wneuper@59264	1442	val r_foder = rev foder; val r_ifoder = rev ifoder;
wneuper@59264	1443	dropwhile' equal r_foder r_ifoder;
wneuper@59264	1444	> *** dropwhile': did not start with equal elements*)

author	Walther Neuper <wneuper@ist.tugraz.at>
	Wed, 30 Nov 2016 13:05:08 +0100
changeset 59264	f04094deb7f3
parent 59262	0ddb3f300cce
child 59269	1da53d1540fe
permissions	-rw-r--r--