akargl@42176: (* Title: tests on inform.sml
akargl@42176:    Author: Walther Neuper 060225,
neuper@37906:    (c) due to copyright terms 
neuper@37906: 
neuper@37906: use"../smltest/ME/inform.sml";
neuper@37906: use"inform.sml";
neuper@37906: *)
neuper@37906: 
neuper@37906: "-----------------------------------------------------------------";
neuper@37906: "table of contents -----------------------------------------------";
neuper@37906: "-----------------------------------------------------------------";
neuper@37906: "appendForm with miniscript with mini-subpbl:";
neuper@37906: "--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906: "--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906: "--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906: "--------- appendFormula: on Res + late deriv --------------------";
neuper@37906: "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906: "replaceForm with miniscript with mini-subpbl:";
neuper@37906: "--------- replaceFormula: on Res + = ----------------------------";
neuper@37906: "--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906: "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906: "--------- replaceFormula: cut calculation -----------------------";
neuper@37906: "--------- replaceFormula: cut calculation -----------------------";
neuper@37906: (* 040307 copied from informtest.sml ... old versions
neuper@37906: "--------- maximum-example, UC: Modeling / modifyCalcHead --------";*)
neuper@37906: "--------- syntax error ------------------------------------------";
neuper@37906: "CAS-command:";
neuper@37906: "--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906: "--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906: "--------- inform [rational,simplification] ----------------------";
neuper@37906: "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906: "--------- Take as 1st tac, start from exp -----------------------";
neuper@37906: "--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@42423: "--------- build fun check_err_patt ------------------------------";
neuper@42426: "--------- build fun check_err_patt ?bdv -------------------------";
neuper@42428: "--------- build fun check_error_patterns ------------------------";
neuper@42428: "--------- embed fun check_error_patterns ------------------------";
neuper@42430: "--------- embed fun find_fillpatterns ---------------------------";
neuper@42432: "--------- embed fun get_fillform --------------------------------";
neuper@37906: "-----------------------------------------------------------------";
neuper@37906: "-----------------------------------------------------------------";
neuper@37906: "-----------------------------------------------------------------";
neuper@37906: 
neuper@37906: 
neuper@37906: 
neuper@37906: 
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906: "--------- appendFormula: on Res + equ_nrls ----------------------";
neuper@37906: "--------- appendFormula: on Res + equ_nrls ----------------------";
akargl@42176: 
neuper@37906:  val Script sc = (#scr o get_met) ["Test","squ-equ-test-subpbl1"];
neuper@37906:  (writeln o term2str) sc;
neuper@37906:  val Script sc = (#scr o get_met) ["Test","solve_linear"];
neuper@37906:  (writeln o term2str) sc;
neuper@37906: 
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906: 
neuper@37906:  appendFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
akargl@42176: 
neuper@37906:  writeln str;
akargl@42209: (*============ inhibit exn AK110726 ==============================================
akargl@42176: (* 2nd string should be the same as 1st one *)
akargl@42176: ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n2.1.   x + 1 + -1 * 2 = 0\n2.2.   1 + x + -1 * 2 = 0\n2.3.   1 + (x + -1 * 2) = 0\n2.4.   1 + (x + -2) = 0\n2.5.   1 + (x + -2 * 1) = 0\n2.6.   1 + x + -2 * 1 = 0\n";
akargl@42176: ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n2.1.   x + 1 + -1 * 2 = 0\n2.2.   -1 * 2 + (x + 1) = 0\n2.3.   -1 * 2 + (1 + x) = 0\n2.4.   1 + (-1 * 2 + x) = 0\n2.5.   1 + (-2 + x) = 0\n2.6.   1 + (-2 * 1 + x) = 0\n";
neuper@37906:  if str = ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n2.1.   x + 1 + -1 * 2 = 0\n2.2.   -1 * 2 + (x + 1) = 0\n2.3.   -1 * 2 + (1 + x) = 0\n2.4.   1 + (-1 * 2 + x) = 0\n2.5.   1 + (-2 + x) = 0\n2.6.   1 + (-2 * 1 + x) = 0\n" then ()
akargl@42209:    else error "inform.sml: diff.behav.appendFormula: on Res + equ 1";
akargl@42209: ============ inhibit exn AK110726 ==============================================*)
neuper@37906: 
neuper@37906:  moveDown 1 ([ ],Pbl); refFormula 1 ([1],Frm); (*x + 1 = 2*)
neuper@37906:  moveDown 1 ([1],Frm); refFormula 1 ([1],Res); (*x + 1 + -1 * 2 = 0*)
neuper@37906: 
neuper@37906:  (*the seven steps of detailed derivation*)
neuper@37906:  moveDown 1 ([1  ],Res); refFormula 1 ([2,1],Frm); 
neuper@37906:  moveDown 1 ([2,1],Frm); refFormula 1 ([2,1],Res);
neuper@37906:  moveDown 1 ([2,1],Res); refFormula 1 ([2,2],Res);
neuper@37906:  moveDown 1 ([2,2],Res); refFormula 1 ([2,3],Res); 
neuper@37906:  moveDown 1 ([2,3],Res); refFormula 1 ([2,4],Res);
neuper@37906:  moveDown 1 ([2,4],Res); refFormula 1 ([2,5],Res);
neuper@37906:  moveDown 1 ([2,5],Res); refFormula 1 ([2,6],Res);
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  if "-2 * 1 + (1 + x) = 0" = term2str (fst (get_obj g_result pt [2,6])) then()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Res + equ 2";
neuper@37906: 
neuper@37906:  fetchProposedTactic 1; (*takes Iterator 1 _1_*)
akargl@42209: 
akargl@42176: (*============ inhibit exn AK110725 ==============================================
akargl@42176: (* ERROR: exception Bind raised *)
neuper@37906:  val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906:  if tac = Rewrite_Set "Test_simplify" then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Res + equ 3";
akargl@42176: ============ inhibit exn AK110725 ==============================================*)
akargl@42209: 
neuper@37906:  autoCalculate 1 CompleteCalc;
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Res + equ 4";
neuper@37906:  (* autoCalculate 1 CompleteCalc;
neuper@37906:    val ((pt,p),_) = get_calc 1;
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [ ]);  
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [1]);  
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [2]);  
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [3]);  
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [3,1]);  
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [3,2]);  
neuper@37906:    (writeln o istates2str) (get_obj g_loc pt [4]);  
neuper@37906: 
neuper@37906:    *)
neuper@37906: "----------------------------------------------------------";
akargl@42176: 
akargl@42176:  val fod = make_deriv (@{theory "Isac"}) Atools_erls 
neuper@37906: 		       ((#rules o rep_rls) Test_simplify)
akargl@42176: 		       (sqrt_right false (@{theory "Pure"})) NONE 
neuper@37906: 		       (str2term "x + 1 + -1 * 2 = 0");
neuper@37906:  (writeln o trtas2str) fod;
neuper@37906: 
akargl@42176:  val ifod = make_deriv (@{theory "Isac"}) Atools_erls 
neuper@37906: 		       ((#rules o rep_rls) Test_simplify)
akargl@42176: 		       (sqrt_right false (@{theory "Pure"})) NONE 
neuper@37906: 		       (str2term "-2 * 1 + (1 + x) = 0");
neuper@37906:  (writeln o trtas2str) ifod;
akargl@42176:  fun equal (_,_,(t1, _)) (_,_,(t2, _)) = t1 = t2;
neuper@37906:  val (fod', rifod') = dropwhile' equal (rev fod) (rev ifod);
neuper@37906:  val der = fod' @ (map rev_deriv' rifod');
neuper@37906:  (writeln o trtas2str) der;
neuper@37906:  "----------------------------------------------------------";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906: "--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906: "--------- appendFormula: on Frm + equ_nrls ----------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x + 1 = 2*);
neuper@37906:  appendFormula 1 "2+ -1 + x = 2"; refFormula 1 (get_pos 1 1);
neuper@37906: 
neuper@37906:  moveDown 1 ([],Pbl); refFormula 1 ([1],Frm) (*x + 1 = 2*);
neuper@37906: 
neuper@37906:  moveDown 1 ([1  ],Frm); refFormula 1 ([1,1],Frm); 
neuper@37906:  moveDown 1 ([1,1],Frm); refFormula 1 ([1,1],Res); 
neuper@37906:  moveDown 1 ([1,1],Res); refFormula 1 ([1,2],Res); 
neuper@37906:  moveDown 1 ([1,2],Res); refFormula 1 ([1,3],Res); 
neuper@37906:  moveDown 1 ([1,3],Res); refFormula 1 ([1,4],Res); 
neuper@37906:  moveDown 1 ([1,4],Res); refFormula 1 ([1,5],Res); 
neuper@37906:  moveDown 1 ([1,5],Res); refFormula 1 ([1,6],Res); 
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  if "2 + -1 + x = 2" = term2str (fst (get_obj g_result pt [1,6])) then()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Frm + equ 1";
neuper@37906: 
neuper@37906:  fetchProposedTactic 1; (*takes Iterator 1 _1_*)
neuper@37906:  val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906:  if tac = Rewrite_Set "norm_equation" then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Frm + equ 2";
neuper@37906:  autoCalculate 1 CompleteCalc;
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906: "--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906: "--------- appendFormula: on Res + NO deriv ----------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906: 
neuper@37906:  appendFormula 1 "x = 2";
neuper@37906:  val ((pt,p),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
neuper@37906:  if str = ".    ----- pblobj -----\n1.   x + 1 = 2\n" andalso p = ([1], Res)
neuper@37906:  then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: Res + NOder 1";
neuper@37906: 
neuper@37906:  fetchProposedTactic 1;
neuper@37906:  val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906:  if tac = Rewrite_Set "Test_simplify" then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: Res + NOder 2";
neuper@37906:  autoCalculate 1 CompleteCalc;
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- appendFormula: on Res + late deriv --------------------";
neuper@37906: "--------- appendFormula: on Res + late deriv --------------------";
neuper@37906: "--------- appendFormula: on Res + late deriv --------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906: 
neuper@37906:  appendFormula 1 "x = 1";
neuper@37906:  val ((pt,p),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
neuper@37906:  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:  then () (*finds 1 step too early: ([3,2], Res) "x = 1" also by script !!!*)
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: Res + late d 1";
akargl@42176: 
neuper@37906:  fetchProposedTactic 1;
neuper@37906:  val (_,(tac,_,_)::_) = get_calc 1;
neuper@37906:  if tac = Check_Postcond ["linear", "univariate", "equation", "test"] then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: Res + late d 2";
neuper@37906:  autoCalculate 1 CompleteCalc;
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  if "[x = 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: Res + late d 3";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906: "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906: "--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906:  appendFormula 1 "[x = 3 + -2*1]";
neuper@37906:  val ((pt,p),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
neuper@37906:  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:  else error "inform.sml: diff.behav.appendFormula: Res + latEE 1";
neuper@37906:  autoCalculate 1 CompleteCalc;
neuper@37906:  val ((pt,p),_) = get_calc 1;
neuper@37906:  if "[x = 3 + -2 * 1]" = term2str (fst (get_obj g_result pt [])) then ()
neuper@37906:  (*       ~~~~~~~~~~ simplify as last step in any script ?!*)
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: Res + latEE 2";
neuper@37906: 
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- replaceFormula: on Res + = ----------------------------";
neuper@37906: "--------- replaceFormula: on Res + = ----------------------------";
neuper@37906: "--------- replaceFormula: on Res + = ----------------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*-1 + x*);
neuper@37906: 
neuper@37906:  replaceFormula 1 "-2 * 1 + (1 + x) = 0"; refFormula 1 (get_pos 1 1);
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
akargl@42176: 
akargl@42176: (*============ inhibit exn AK110725 ==============================================
akargl@42176: (* 2nd string should be the same as 1st one *)
akargl@42176: ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n2.1.   x + 1 + -1 * 2 = 0\n2.2.   1 + x + -1 * 2 = 0\n2.3.   1 + (x + -1 * 2) = 0\n2.4.   1 + (x + -2) = 0\n2.5.   1 + (x + -2 * 1) = 0\n2.6.   1 + x + -2 * 1 = 0\n";
akargl@42176: ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n2.1.   x + 1 + -1 * 2 = 0\n2.2.   -1 * 2 + (x + 1) = 0\n2.3.   -1 * 2 + (1 + x) = 0\n2.4.   1 + (-1 * 2 + x) = 0\n2.5.   1 + (-2 + x) = 0\n2.6.   1 + (-2 * 1 + x) = 0\n";
akargl@42176:  if str = ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n2.1.   x + 1 + -1 * 2 = 0\n2.2.   -1 * 2 + (x + 1) = 0\n2.3.   -1 * 2 + (1 + x) = 0\n2.4.   1 + (-1 * 2 + x) = 0\n2.5.   1 + (-2 + x) = 0\n2.6.   1 + (-2 * 1 + x) = 0\n" then()
neuper@38031:  else error "inform.sml: diff.behav.replaceFormula: on Res += 1";
akargl@42176: ============ inhibit exn AK110725 ==============================================*)
akargl@42176: 
neuper@37906:  autoCalculate 1 CompleteCalc;
akargl@42176:  val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176:  if pos = ([],Res) andalso "[x = 1]" = (term2str o fst) (get_obj g_result pt p) then()
neuper@38031:  else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
neuper@37906:  
neuper@37906: 
neuper@37906: "--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906: "--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906: "--------- replaceFormula: on Res + = 1st Nd ---------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906: 
neuper@37906:  replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
akargl@42176:  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:  else error "inform.sml: diff.behav.replaceFormula: on Res 1 + = 1";
neuper@37906:  autoCalculate 1 CompleteCalc;
akargl@42176:  val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176:  if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031:  else error "inform.sml: diff.behav.replaceFormula: on Res + = 2";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906: "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906: "--------- replaceFormula: on Frm + = 1st Nd ---------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906: 
neuper@37906:  replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
akargl@42176:  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:  else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 1";
neuper@37906:  autoCalculate 1 CompleteCalc;
akargl@42176:  val ((pt,pos as (p,_)),_) = get_calc 1;
akargl@42176:  if pos = ([],Res) andalso "[x = 1]" = (term2str o fst)(get_obj g_result pt p) then()
neuper@38031:  else error "inform.sml: diff.behav.replaceFormula: on Frm 1 + = 2";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- replaceFormula: cut calculation -----------------------";
neuper@37906: "--------- replaceFormula: cut calculation -----------------------";
neuper@37906: "--------- replaceFormula: cut calculation -----------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalc;
neuper@37906:  moveActiveRoot 1; moveActiveDown 1;
neuper@37906:  if get_pos 1 1 = ([1], Frm) then ()
neuper@38031:  else error "inform.sml: diff.behav. cut calculation 1";
neuper@37906: 
neuper@37906:  replaceFormula 1 "x + 1 = 4 + -2"; refFormula 1 (get_pos 1 1);
neuper@37906:  val ((pt,p),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
neuper@37906:  if p = ([1], Res) then ()
neuper@38031:  else error "inform.sml: diff.behav. cut calculation 2";
neuper@37906: 
neuper@37906: 
neuper@37906: (* 040307 copied from informtest.sml; ... old version 
neuper@37906:  "---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906:  "---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906:  "---------------- maximum-example, UC: Modeling / modifyCalcHead -";
neuper@37906: 
neuper@37906:  val p = ([],Pbl);
neuper@37906:  val elems = ["fixedValues [r=Arbfix]","maximum A","valuesFor [a,b]",
neuper@37906: 	      "relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906: 	      "relations [A=a*b, (a/2)^^^2 + (b/2)^^^2 = r^^^2]",
neuper@37906: 	      "relations [A=a*b, a/2=r*sin alpha, b/2=r*cos alpha]",
neuper@37906: 	      (*^^^ these are the elements for the root-problem (in variants)*)
neuper@37906:               (*vvv these are elements required for subproblems*)
neuper@37906: 	      "boundVariable a","boundVariable b","boundVariable alpha",
neuper@37906: 	      "interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906: 	      "interval {x::real. 0 <= x & x <= 2*r}",
neuper@37906: 	      "interval {x::real. 0 <= x & x <= pi}",
neuper@37906: 	      "errorBound (eps=(0::real))"]
neuper@37906:  (*specifying is not interesting for this example*)
neuper@38058:  val spec = ("DiffApp", ["maximum_of","function"], 
neuper@37906: 	     ["DiffApp","max_by_calculus"]);
neuper@37906:  (*the empty model with descriptions for user-guidance by Model_Problem*)
neuper@37906:  val empty_model = [Given ["fixedValues []"],
neuper@37906: 		    Find ["maximum", "valuesFor"],
neuper@37906: 		    Relate ["relations []"]];
neuper@37906: 
neuper@37906: 
neuper@37906:  (*!!!!!!!!!!!!!!!!! DON'T USE me FOR FINDING nxt !!!!!!!!!!!!!!!!!!*)
neuper@37906:  val (p,_,f,nxt,_,pt) = CalcTreeTEST [(elems, spec)];
neuper@37906:  (*val nxt = ("Model_Problem", ...*)
neuper@37924:  val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl; 
neuper@37906: 
neuper@37906:  val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906:  (*nxt = Add_Given "fixedValues [r = Arbfix]"*)
neuper@37924:  val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl; 
neuper@37906: (*[
neuper@37906: (0 ,[] ,false ,#Given ,Inc fixedValues [] ,(??.empty, [])),
neuper@37906: (0 ,[] ,false ,#Find ,Inc maximum ,(??.empty, [])),
neuper@37906: (0 ,[] ,false ,#Find ,Inc valuesFor ,(??.empty, [])),
neuper@37906: (0 ,[] ,false ,#Relate ,Inc relations [] ,(??.empty, []))]*)
neuper@37906: 
neuper@37906:  (*the empty CalcHead is checked w.r.t the model and re-established as such*)
neuper@37906:  val (b,pt,ocalhd) = input_icalhd pt (p,"", empty_model, Pbl, e_spec);
neuper@37924:  val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl; 
neuper@38031:  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: 
neuper@37906:  (*there is one input to the model (could be more)*)
neuper@37906:  val (b,pt,ocalhd) = 
neuper@37906:      input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906: 			     Find ["maximum", "valuesFor"],
neuper@37906: 			     Relate ["relations"]], Pbl, e_spec);
neuper@37924:  val pbl = get_obj g_pbl pt (fst p); (writeln o (itms2str_ ctxt)) pbl; 
neuper@37906:  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:  else error "informtest.sml: diff.behav. max 2";
neuper@37906: 
neuper@37906:  (*this input is complete in variant 3, but the ME doesn't recognize FIXXXXME
neuper@37906:  val (b,pt''''',ocalhd) = 
neuper@37906:      input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906: 			     Find ["maximum A", "valuesFor [a,b]"],
neuper@37906: 			     Relate ["relations [A=a*b, a/2=r*sin alpha, \
neuper@37906: 				     \b/2=r*cos alpha]"]], Pbl, e_spec);
neuper@37924:  val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl; 
neuper@37906:  if ocalhd2str ocalhd = ------------^^^^^^^^^^ missing !!!*)
neuper@37906: 
neuper@37906:  (*this input is complete in variant 1 (variant 3 does not work yet)*)
neuper@37906:  val (b,pt''''',ocalhd) = 
neuper@37906:      input_icalhd pt (p,"", [Given ["fixedValues [r=Arbfix]"],
neuper@37906: 			     Find ["maximum A", "valuesFor [a,b]"],
neuper@37906: 			     Relate ["relations [A=a*b, \
neuper@37906: 				     \(a/2)^^^2 + (b/2)^^^2 = r^^^2]"]], 
neuper@37906: 		      Pbl, e_spec);
neuper@37924:  val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (itms2str_ ctxt)) pbl; 
neuper@37906: 
neuper@37906:  modifycalcheadOK2xml 111 (bool2str b) ocalhd;
neuper@37906: *)
neuper@37906: 
neuper@37906: "--------- syntax error ------------------------------------------";
neuper@37906: "--------- syntax error ------------------------------------------";
neuper@37906: "--------- syntax error ------------------------------------------";
neuper@37906:  states:=[];
neuper@41970:  CalcTree [(["equality (x+1=(2::real))", "solveFor x","solutions L"], 
neuper@41970: 	    ("Test", ["sqroot-test","univariate","equation","test"],
neuper@37906: 	     ["Test","squ-equ-test-subpbl1"]))];
neuper@37906:  Iterator 1; moveActiveRoot 1;
neuper@37906:  autoCalculate 1 CompleteCalcHead;
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
neuper@37906:  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*x + 1 + -1 * 2 = 0*);
neuper@37906: 
neuper@37906:  appendFormula 1 " x - "; (*<ERROR> syntax error in ' x - ' </ERROR>*)
neuper@37906:  val ((pt,_),_) = get_calc 1;
neuper@37906:  val str = pr_ptree pr_short pt;
neuper@37906:  writeln str;
neuper@37906:  if str = ".    ----- pblobj -----\n1.   x + 1 = 2\n" then ()
neuper@38031:  else error "inform.sml: diff.behav.appendFormula: syntax error";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906: "--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906: "--------- CAS-command on ([],Pbl) -------------------------------";
neuper@37906: val (p,_,f,nxt,_,pt) = 
neuper@37906:     CalcTreeTEST [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906: val ifo = "solve(x+1=2,x)";
neuper@37906: val (_,(_,c,(pt,p))) = inform ([],[],(pt,p)) "solve(x+1=2,x)";
neuper@37906: show_pt pt;
neuper@37906: val nxt = ("Apply_Method",Apply_Method ["Test","squ-equ-test-subpbl1"]);
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p [] pt;
neuper@37906: if p = ([1], Frm) andalso f2str f = "x + 1 = 2" then ()
neuper@38031: else error "inform.sml: diff.behav. CAScmd ([],Pbl)";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906: "--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906: "--------- CAS-command on ([],Pbl) FE-interface ------------------";
neuper@37906: states:=[];
neuper@37906: CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
neuper@37906: replaceFormula 1 "solve(x+1=2,x)";
neuper@37906: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: show_pt pt;
neuper@37906: if p = ([], Res) then ()
neuper@38031: else error "inform.sml: diff.behav. CAScmd ([],Pbl) FE-interface";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- inform [rational,simplification] ----------------------";
neuper@37906: "--------- inform [rational,simplification] ----------------------";
neuper@37906: "--------- inform [rational,simplification] ----------------------";
neuper@37906: states:=[];
neuper@38083: CalcTree [(["Term (4/x - 3/y - 1)", "normalform N"],
neuper@38058: 	   ("Rational",["rational","simplification"],
neuper@37906: 	    ["simplification","of_rationals"]))];
neuper@37906: Iterator 1; moveActiveRoot 1;
neuper@37906: autoCalculate 1 CompleteCalcHead;
neuper@37906: autoCalculate 1 (Step 1);
neuper@37906: autoCalculate 1 (Step 1);
neuper@37906: autoCalculate 1 (Step 1);
neuper@37906: autoCalculate 1 (Step 1);
neuper@37906: "--- input the next formula that _should_ be presented by mat-engine";
neuper@37906: appendFormula 1 "(4 * y + -3 * x) / (x * y) + -1";
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: if p = ([4], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031: else error ("inform.sml: [rational,simplification] 1");
neuper@37906: 
neuper@37906: "--- input the next formula that would be presented by mat-engine";
neuper@37906: (*autoCalculate 1 (Step 1);*)
neuper@37906: appendFormula 1 "(4 * y + -3 * x + -1 * (x * y)) / (x * y)";
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: if p = ([5], Res) andalso (length o children o (get_nd pt)) (fst p) = 0 then ()
neuper@38031: else error ("inform.sml: [rational,simplification] 2");
neuper@37906: 
neuper@37906: "--- input the exact final result";(*TODO: Exception- LIST "last_elem" raised*)
neuper@37906: appendFormula 1 "(-3 * x + 4 * y + -1 * x * y) / (x * y)";
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: if p = ([6], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
neuper@38031: else error ("inform.sml: [rational,simplification] 3");
neuper@37906: show_pt pt;
neuper@37906: 
neuper@37906: "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906: "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906: "--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
neuper@37906: val t = str2term "Diff (x^^^2 + x + 1, x)";
neuper@37906: case t of Const ("Diff.Diff", _) $ _ => ()
neuper@37906: 	| _ => raise 
neuper@37906: 	      error "diff.sml behav.changed for CAS Diff (..., x)";
neuper@37906: atomty t;
neuper@37906: "-----------------------------------------------------------------";
neuper@37906: (*1>*)states:=[];
neuper@37906: (*2>*)CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906: (*3>*)Iterator 1;moveActiveRoot 1;
neuper@37906: "----- here the Headline has been finished";
neuper@37906: (*4>*)moveActiveFormula 1 ([],Pbl);
neuper@37906: (*5>*)replaceFormula 1 "Diff (x^2 + x + 1, x)";
neuper@37906: val ((pt,_),_) = get_calc 1;
neuper@37906: val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926: val NONE = env;
neuper@37926: val (SOME istate, NONE) = loc;
neuper@37906: print_depth 5;
neuper@37906: writeln"-----------------------------------------------------------";
neuper@37906: spec;
neuper@37924: writeln (itms2str_ ctxt probl);
neuper@37924: writeln (itms2str_ ctxt meth);
akargl@42209: 
akargl@42176: (*============ inhibit exn AK110725 ==============================================
akargl@42209: (* ERROR: Argument: istate : istate * Proof.context Reason: 
akargl@42209:         Can't unify istate to istate * Proof.context *)
neuper@37906: writeln (istate2str istate);
akargl@42176: ============ inhibit exn AK110725 ==============================================*)
neuper@37906: 
neuper@37906: print_depth 3;
neuper@37906: 
neuper@37906: refFormula 1 ([],Pbl) (*--> correct CalcHead*);
neuper@37906:  (*081016 NOT necessary (but leave it in Java):*)
neuper@37906: (*6>*)(*completeCalcHead*)autoCalculate 1 CompleteCalcHead;
neuper@37906: "----- here the CalcHead has been completed --- ONCE MORE ?????";
neuper@37906: 
neuper@37906: (***difference II***)
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: (*val p = ([], Pbl)*)
neuper@37906: val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926: val NONE = env;
neuper@37926: val (SOME istate, NONE) = loc;
akargl@42176: (*============ inhibit exn AK110725 ==============================================
akargl@42176: (* ERROR: Argument: istate : istate * Proof.context Reason: Can't unify istate to istate * Proof.context *)
neuper@37906: print_depth 5; writeln (istate2str istate);  print_depth 3;
akargl@42176: ============ inhibit exn AK110725 ==============================================*)
neuper@37906: (*ScrState ([],
neuper@37926:  [], NONE,
neuper@37906:  ??.empty, Sundef, false)*)
neuper@37906: print_depth 5; spec; print_depth 3;
neuper@38050: (*("Isac",
neuper@37906:       ["derivative_of", "function"],
neuper@37906:       ["diff", "differentiate_on_R"]) : spec*)
neuper@37924: writeln (itms2str_ ctxt probl);
neuper@37906: (*[
neuper@37906: (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906: (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176: (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924: writeln (itms2str_ ctxt meth);
neuper@37906: (*[
neuper@37906: (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906: (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176: (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906: writeln"-----------------------------------------------------------";
neuper@37906: (*7>*)fetchProposedTactic 1 (*--> Apply_Method*);
neuper@37906: (*WN081028 fixed <ERROR> helpless </ERROR> by inform returning ...(.,Met)*)
neuper@37906: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: val Form res = (#1 o pt_extract) (pt, ([],Res));
neuper@37906: show_pt pt;
neuper@37906: if p = ([], Res) andalso term2str res = "1 + 2 * x" then ()
neuper@38031: else error "diff.sml behav.changed for Diff (x^2 + x + 1, x)";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- Take as 1st tac, start from exp -----------------------";
neuper@37906: "--------- Take as 1st tac, start from exp -----------------------";
neuper@37906: "--------- Take as 1st tac, start from exp -----------------------";
neuper@37906: (*the following input is copied from BridgeLog Java <==> SML,
neuper@37906:   omitting unnecessary inputs*)
neuper@37906: (*1>*)states:=[];
akargl@42176: (*2>*)CalcTree [(["functionTerm (x^2 + x + 1)", "differentiateFor x", "derivative f_'_f"],("Isac",["derivative_of","function"],["diff","differentiate_on_R"]))];
neuper@37906: (*3>*)Iterator 1; moveActiveRoot 1;
neuper@37906: 
neuper@37906: (*6>*)(*completeCalcHead*)autoCalculate 1 CompleteCalcHead;
neuper@37906: (***difference II***)
neuper@37906: val ((pt,_),_) = get_calc 1;
neuper@37906: val PblObj {probl, meth, spec, fmz, env, loc, ...} = get_obj I pt [];
neuper@37926: val NONE = env;
neuper@37926: val (SOME istate, NONE) = loc;
akargl@42176: (*============ inhibit exn AK110725 ==============================================
akargl@42176: (* ERROR: Argument: istate : istate * Proof.context Reason: Can't unify istate to istate * Proof.context *)
neuper@37906: print_depth 5; writeln (istate2str istate);  print_depth 3;
akargl@42176: ============ inhibit exn AK110725 ==============================================*)
neuper@37906: (*ScrState ([],
neuper@37926:  [], NONE,
neuper@37906:  ??.empty, Sundef, false)*)
neuper@37906: print_depth 5; spec; print_depth 3;
neuper@38050: (*("Isac",
neuper@37906:       ["derivative_of", "function"],
neuper@37906:       ["diff", "differentiate_on_R"]) : spec*)
neuper@37924: writeln (itms2str_ ctxt probl);
neuper@37906: (*[
neuper@37906: (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906: (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176: (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37924: writeln (itms2str_ ctxt meth);
neuper@37906: (*[
neuper@37906: (1 ,[1] ,true ,#Given ,Cor functionTerm (x ^^^ 2 + x + 1) ,(f_, [x ^^^ 2 + x + 1])),
neuper@37906: (2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
akargl@42176: (3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
neuper@37906: writeln"-----------------------------------------------------------";
neuper@37906: (*7>*)fetchProposedTactic 1 (*--> Apply_Method*);
neuper@37906: autoCalculate 1 (Step 1);
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: val Form res = (#1 o pt_extract) (pt, p);
neuper@37906: if term2str res = "d_d x (x ^^^ 2 + x + 1)" then ()
neuper@38031: else error "diff.sml Diff (x^2 + x + 1, x) from exp";
neuper@37906: 
neuper@37906: 
neuper@37906: "--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906: "--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906: "--------- init_form, start with <NEW> (CAS input) ---------------";
neuper@37906: states:=[];
neuper@37906: CalcTree [([], ("e_domID", ["e_pblID"], ["e_metID"]))];
neuper@37906: (*[[from sml: > @@@@@begin@@@@@
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <CALCTREE>
neuper@37906: [[from sml:    <CALCID> 1 </CALCID>
neuper@37906: [[from sml: </CALCTREE>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: Iterator 1;
neuper@37906: (*[[from sml: > @@@@@begin@@@@@
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <ADDUSER>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <USERID> 1 </USERID>
neuper@37906: [[from sml: </ADDUSER>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: moveActiveRoot 1;
neuper@37906: (*[[from sml: > @@@@@begin@@@@@
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <CALCITERATOR>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <POSITION>
neuper@37906: [[from sml:     <INTLIST>
neuper@37906: [[from sml:     </INTLIST>
neuper@37906: [[from sml:     <POS> Pbl </POS>
neuper@37906: [[from sml:   </POSITION>
neuper@37906: [[from sml: </CALCITERATOR>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false;
neuper@37906: (*[[from sml: > @@@@@begin@@@@@                STILL CORRECT
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <GETELEMENTSFROMTO>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <FORMHEADS>
neuper@37906: [[from sml:     <CALCFORMULA>
neuper@37906: [[from sml:       <POSITION>
neuper@37906: [[from sml:         <INTLIST>
neuper@37906: [[from sml:         </INTLIST>
neuper@37906: [[from sml:         <POS> Pbl </POS>
neuper@37906: [[from sml:       </POSITION>
neuper@37906: [[from sml:       <FORMULA>
neuper@37906: [[from sml:         <MATHML>
neuper@37906: [[from sml:           <ISA> ________________________________________________ </ISA>
neuper@37906: [[from sml:         </MATHML>
neuper@37906: [[from sml: 
neuper@37906: [[from sml:       </FORMULA>
neuper@37906: [[from sml:     </CALCFORMULA>
neuper@37906: [[from sml:   </FORMHEADS>
neuper@37906: [[from sml: </GETELEMENTSFROMTO>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: refFormula 1 ([],Pbl);
neuper@37906: (*[[from sml: > @@@@@begin@@@@@                STILL CORRECT
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <REFFORMULA>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <CALCHEAD status = "incorrect">
neuper@37906: [[from sml:     <POSITION>
neuper@37906: [[from sml:       <INTLIST>
neuper@37906: [[from sml:       </INTLIST>
neuper@37906: [[from sml:       <POS> Pbl </POS>
neuper@37906: [[from sml:     </POSITION>
neuper@37906: [[from sml:     <HEAD>
neuper@37906: [[from sml:       <MATHML>
neuper@37906: [[from sml:         <ISA> Problem (e_domID, [e_pblID]) </ISA>
neuper@37906: [[from sml:       </MATHML>
neuper@37906: [[from sml:     </HEAD>
neuper@37906: [[from sml:     <MODEL>
neuper@37906: [[from sml:       <GIVEN>  </GIVEN>
neuper@37906: [[from sml:       <WHERE>  </WHERE>
neuper@37906: [[from sml:       <FIND>  </FIND>
neuper@37906: [[from sml:       <RELATE>  </RELATE>
neuper@37906: [[from sml:     </MODEL>
neuper@37906: [[from sml:     <BELONGSTO> Pbl </BELONGSTO>
neuper@37906: [[from sml:     <SPECIFICATION>
neuper@37906: [[from sml:       <THEORYID> e_domID </THEORYID>
neuper@37906: [[from sml:       <PROBLEMID>
neuper@37906: [[from sml:         <STRINGLIST>
neuper@37906: [[from sml:           <STRING> e_pblID </STRING>
neuper@37906: [[from sml:         </STRINGLIST>
neuper@37906: [[from sml:       </PROBLEMID>
neuper@37906: [[from sml:       <METHODID>
neuper@37906: [[from sml:         <STRINGLIST>
neuper@37906: [[from sml:           <STRING> e_metID </STRING>
neuper@37906: [[from sml:         </STRINGLIST>
neuper@37906: [[from sml:       </METHODID>
neuper@37906: [[from sml:     </SPECIFICATION>
neuper@37906: [[from sml:   </CALCHEAD>
neuper@37906: [[from sml: </REFFORMULA>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: moveActiveFormula 1 ([],Pbl);
neuper@37906: (*[[from sml: > @@@@@begin@@@@@
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <CALCITERATOR>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <POSITION>
neuper@37906: [[from sml:     <INTLIST>
neuper@37906: [[from sml:     </INTLIST>
neuper@37906: [[from sml:     <POS> Pbl </POS>
neuper@37906: [[from sml:   </POSITION>
neuper@37906: [[from sml: </CALCITERATOR>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: replaceFormula 1 "Simplify (1+2)";
neuper@37906: (*[[from sml: > @@@@@begin@@@@@
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <REPLACEFORMULA>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <CALCCHANGED>
neuper@37906: [[from sml:     <UNCHANGED>
neuper@37906: [[from sml:       <INTLIST>
neuper@37906: [[from sml:       </INTLIST>
neuper@37906: [[from sml:       <POS> Pbl </POS>
neuper@37906: [[from sml:     </UNCHANGED>
neuper@37906: [[from sml:     <DELETED>
neuper@37906: [[from sml:       <INTLIST>
neuper@37906: [[from sml:       </INTLIST>
neuper@37906: [[from sml:       <POS> Pbl </POS>
neuper@37906: [[from sml:     </DELETED>
neuper@37906: [[from sml:     <GENERATED>
neuper@37906: [[from sml:       <INTLIST>
neuper@37906: [[from sml:       </INTLIST>
neuper@37906: [[from sml:       <POS> Met </POS>                           DIFFERENCE: Pbl
neuper@37906: [[from sml:     </GENERATED>
neuper@37906: [[from sml:   </CALCCHANGED>
neuper@37906: [[from sml: </REPLACEFORMULA>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false(*              DIFFERENCE: Pbl*);
neuper@37906: (*@@@@@begin@@@@@
neuper@37906:  1
neuper@37906: <GETELEMENTSFROMTO>
neuper@37906:   <CALCID> 1 </CALCID>
neuper@37906:   <FORMHEADS>
neuper@37906:     <CALCFORMULA>
neuper@37906:       <POSITION>
neuper@37906:         <INTLIST>
neuper@37906:         </INTLIST>
neuper@37906:         <POS> Pbl </POS>
neuper@37906:       </POSITION>
neuper@37906:       <FORMULA>
neuper@37906:         <MATHML>
neuper@37906:           <ISA> Simplify (1 + 2) </ISA>                      WORKS !!!!!
neuper@37906:         </MATHML>
neuper@37906:       </FORMULA>
neuper@37906:     </CALCFORMULA>
neuper@37906:   </FORMHEADS>
neuper@37906: </GETELEMENTSFROMTO>
neuper@37906: @@@@@end@@@@@*)
neuper@37906: getFormulaeFromTo 1 ([],Pbl) ([],Met) 0 false;
neuper@37906: (*[[from sml: > @@@@@begin@@@@@
neuper@37906: [[from sml:  1 
neuper@37906: [[from sml: <SYSERROR>
neuper@37906: [[from sml:   <CALCID> 1 </CALCID>
neuper@37906: [[from sml:   <ERROR> error in getFormulaeFromTo </ERROR>
neuper@37906: [[from sml: </SYSERROR>
neuper@37906: [[from sml: @@@@@end@@@@@*)
neuper@37906: (*step into getFormulaeFromTo --- bug corrected...*)
neuper@42423: 
neuper@42423: "--------- build fun check_err_patt ------------------------------";
neuper@42423: "--------- build fun check_err_patt ------------------------------";
neuper@42423: "--------- build fun check_err_patt ------------------------------";
neuper@42426: val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42423: val rls = norm_Rational
neuper@42423: val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423: val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42423: val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "1 / 2");
neuper@42423: 
neuper@42426: val (res', _, _, rewritten) = (*rewritten: the lhs of the pattern matches in res*)
neuper@42423:   rew_sub thy 1 [] e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42423: if rewritten then NONE else SOME "e_errpatID";
neuper@42423: 
neuper@42423: val norm_res = case rewrite_set_ (Isac()) false rls res' of
neuper@42423:   NONE => res'
neuper@42423: | SOME (norm_res, _) => norm_res
neuper@42423: 
neuper@42423: val norm_inf = case rewrite_set_ (Isac()) false rls inf of
neuper@42423:   NONE => inf
neuper@42423: | SOME (norm_inf, _) => norm_inf;
neuper@42423: 
neuper@42423: res' = inf;
neuper@42423: norm_res = norm_inf;
neuper@42423: 
neuper@42423: val pat = parse_patt @{theory} "(?a + ?b)/?a = ?b";
neuper@42423: val (res, inf) = (str2term "(2 + 3)/2", str2term "3");
neuper@42426: if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423: then () else error "error patt example1 changed";
neuper@42423: 
neuper@42423: val pat = parse_patt @{theory} "(?a + ?b)/(?a + ?c) = ?b / ?c";
neuper@42423: val (res, inf) = (str2term "(2 + 3)/(2 + 4)", str2term "3 / 4");
neuper@42426: if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423: then () else error "error patt example2 changed";
neuper@42423: 
neuper@42423: val pat = parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
neuper@42423: val (res, inf) = (str2term "(2 + 3)/(3 + 4)", str2term "2 / 4");
neuper@42426: if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423: then () else error "error patt example3 changed";
neuper@42423: 
neuper@42423: val inf =  str2term "1 / 2";
neuper@42426: if check_err_patt (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
neuper@42423: then () else error "error patt example3 changed";
neuper@42423: 
neuper@42426: "--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426: "--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426: "--------- build fun check_err_patt ?bdv -------------------------";
neuper@42426: val subst = [(str2term "bdv", str2term "x")]: subst;
neuper@42426: val t = str2term "d_d x (x ^^^ 2 + sin (x ^^^ 4))";
neuper@42426: val SOME (t, _) = rewrite_set_inst_ thy false subst norm_diff t;
neuper@42426: if term2str t = "2 * x + cos (x ^^^ 4) * 4 * x ^^^ 3" then ()
neuper@42426: else error "build fun check_err_patt ?bdv changed 1"; 
neuper@42423: 
neuper@42426: val rls = norm_diff
neuper@42426: val pat = parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)"; 
neuper@42426: val (res, inf) = (str2term "2 * x + d_d x (sin (x ^^^ 4))", str2term "2 * x + cos (4 * x ^^^ 3)");
neuper@42426: 
neuper@42426: val (res', _, _, rewritten) = (*rewritten: the lhs of the pattern matches in res*)
neuper@42426:   rew_sub thy 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) res;
neuper@42426: if term2str res' = "2 * x + cos (d_d x (x ^^^ 4))" andalso rewritten then ()
neuper@42426: else error "build fun check_err_patt ?bdv changed 2";
neuper@42426: 
neuper@42426: val norm_res = case rewrite_set_inst_ (Isac()) false subst rls  res' of
neuper@42426:   NONE => res'
neuper@42426: | SOME (norm_res, _) => norm_res;
neuper@42426: if term2str norm_res = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426: else error "build fun check_err_patt ?bdv changed 3";
neuper@42426: 
neuper@42426: val norm_inf = case rewrite_set_inst_ (Isac()) false subst rls inf of
neuper@42426:   NONE => inf
neuper@42426: | SOME (norm_inf, _) => norm_inf;
neuper@42426: if term2str norm_inf = "2 * x + cos (4 * x ^^^ 3)" then ()
neuper@42426: else error "build fun check_err_patt ?bdv changed 4";
neuper@42426: 
neuper@42426: res' = inf;
neuper@42426: if norm_res = norm_inf then ()
neuper@42426: else error "build fun check_err_patt ?bdv changed 5";
neuper@42426: 
neuper@42426: if check_err_patt (res, inf) (subst: subst) ("errpatID": errpatID, pat) rls = SOME "errpatID"
neuper@42426: then () else error "error patt example1 changed";
neuper@42426: 
neuper@42428: "--------- build fun check_error_patterns ------------------------";
neuper@42428: "--------- build fun check_error_patterns ------------------------";
neuper@42428: "--------- build fun check_error_patterns ------------------------";
neuper@42428: val (res, inf) =
neuper@42428:   (str2term "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))",
neuper@42428:    str2term "d_d x (x ^^^ 2) + cos (4 * x ^^^ 3)");
neuper@42428: val {errpats, nrls = rls, scr = Script prog, ...} = get_met ["diff", "differentiate_on_R"]
neuper@42426: 
neuper@42428: val env = [(str2term "v_v", str2term "x")];
neuper@42428: val errpats =
neuper@42428:   [e_errpat, (*generalised for testing*)
neuper@42428:    ("chain-rule-diff-both",
neuper@42428:      [parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)",
neuper@42428:       parse_patt @{theory} "d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)",
neuper@42428:       parse_patt @{theory} "d_d ?bdv (?u ^^^ ?n) = ?n * ?u ^^^ (?n - 1)",
neuper@42428:       parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / ?u",
neuper@42428:       parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u"],
neuper@42428:      [@{thm diff_sin_chain}, @{thm diff_cos_chain}, @{thm diff_pow_chain}, 
neuper@42428:       @{thm diff_ln_chain}, @{thm  diff_exp_chain}])]: errpat list;
neuper@42428: 
neuper@42428: case check_error_patterns (res, inf) (prog, env) (errpats, rls) of SOME _ => () 
neuper@42428: | NONE => error "check_error_patterns broken";
neuper@42428: 
neuper@42428: 
neuper@42428: "--------- embed fun check_error_patterns ------------------------";
neuper@42428: "--------- embed fun check_error_patterns ------------------------";
neuper@42428: "--------- embed fun check_error_patterns ------------------------";
neuper@42428: states:=[];
neuper@42428: CalcTree
neuper@42428: [(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"], 
neuper@42428:   ("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42428: Iterator 1;
neuper@42428: moveActiveRoot 1;
neuper@42428: autoCalculate 1 CompleteCalcHead;
neuper@42428: autoCalculate 1 (Step 1);
neuper@42428: autoCalculate 1 (Step 1);(*([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))*)
neuper@42428: (*autoCalculate 1 (Step 1);([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)*)
neuper@42428: 
neuper@42428: "~~~~~ fun appendFormula, args:"; val (cI, (ifo:cterm')) = (1, "d_d x (x ^ 2) + cos (4 * x ^ 3)");
neuper@42428: val cs = get_calc cI
neuper@42428: val pos as (_,p_) = get_pos cI 1; (*pos = ([1], Res)*)
neuper@42428: val cs' = 
neuper@42428:     case step pos cs of
neuper@42428: 	    ("ok", cs') => cs';
neuper@42428: 
neuper@42428: val (_, _, (pt, ([2], Res))) = cs';
neuper@42428: (*show_pt pt;
neuper@42428:   [(([], Frm), Diff (x ^^^ 2 + sin (x ^^^ 4), x)),
neuper@42428:    (([1], Frm), d_d x (x ^^^ 2 + sin (x ^^^ 4))),
neuper@42428:    (([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))), <<=== input follos: "...+ cos(4.x^3)"
neuper@42428:    (([2], Res), d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4))] *)
neuper@42428: 
neuper@42428: "~~~~~ fun inform, args:"; val ((cs as (_, _, ptp as (pt, pos as (p, p_))): calcstate'), istr) =
neuper@42428:   (cs', (encode ifo));
neuper@42428: val 	SOME f_in = parse (assoc_thy "Isac") istr
neuper@42428: val f_in = term_of f_in
neuper@42428: val pos_pred = lev_back' pos
neuper@42428: 			(* f_pred ---"step pos cs"---> f_succ in appendFormula
neuper@42428:    TODO.WN120517: one starting point for redesign of pos' *)
neuper@42432: val (f_pred, f_succ) = (get_curr_formula (pt, pos_pred), get_curr_formula (pt, pos));
neuper@42428: 	
neuper@42428: term2str f_pred = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))";
neuper@42428: term2str f_succ = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x (x ^^^ 4)";
neuper@42428: 
neuper@42428: 			f_succ = f_in; (* = false*)
neuper@42428: cas_input f_in; (* = NONE*)
neuper@42428: val msg_calcstate' = compare_step ([], [], (pt, pos_pred)) f_in
neuper@42428: val ("no derivation found", calcstate') = msg_calcstate';
neuper@42428: 			                 val pp = par_pblobj pt p
neuper@42428: 			                 val {errpats, nrls, scr = Script prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42428: 			                 val ScrState (env, _, _, _, _, _) = get_istate pt pos;
neuper@42428:                  case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428: 			                   SOME errpatID => ("error pattern #" ^ errpatID ^ "#", calcstate')
neuper@42428: 			                 | NONE => msg_calcstate';
neuper@42428: 
neuper@42428: "~~~~~ from inform return val:"; val () = ();
neuper@42428: case check_error_patterns (f_pred, f_in) (prog, env) (errpats, nrls) of
neuper@42428: 			  SOME errpatID => ()
neuper@42428: 			| NONE => error "check_error_patterns broken";
neuper@42428: 
neuper@42428: "--- final check:";
neuper@42428: case inform cs' (encode ifo) of
neuper@42428:   ("error pattern #chain-rule-diff-both#", calcstate') => ()
neuper@42428: | _ => error "inform with (positive) check_error_patterns broken"
neuper@42428: 
neuper@42430: "--------- embed fun find_fillpatterns ---------------------------";
neuper@42430: "--------- embed fun find_fillpatterns ---------------------------";
neuper@42430: "--------- embed fun find_fillpatterns ---------------------------";
neuper@42430: states:=[];
neuper@42430: CalcTree
neuper@42430: [(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"], 
neuper@42430:   ("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42430: Iterator 1;
neuper@42430: moveActiveRoot 1;
neuper@42430: autoCalculate 1 CompleteCalcHead;
neuper@42430: autoCalculate 1 (Step 1);
neuper@42430: autoCalculate 1 (Step 1);(*([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))*)
neuper@42430: appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)";
neuper@42430:   (*<CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>*)
neuper@42432:   (*or
neuper@42432:     <CALCMESSAGE> no derivation found </CALCMESSAGE>*)
neuper@42430: 
neuper@42430: "~~~~~ fun FindFillpatterns, args:"; val (cI, errpatID) = (1, "chain-rule-diff-both");
neuper@42430:   val ((pt, _), _) = get_calc cI
neuper@42430: 				val pos = get_pos cI 1;
neuper@42432: "~~~~~ fun find_fillpatterns, args:"; val ((pt, pos as (p, _)), errpatID) = ((pt, pos), errpatID);
neuper@42432: 	    val f_curr = get_curr_formula (pt, pos); (* = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))"*)
neuper@42430:     val pp = par_pblobj pt p
neuper@42430: 			    val {errpats, scr = Script prog, ...} = get_met (get_obj g_metID pt pp)
neuper@42430:     val ScrState (env, _, _, _, _, _) = get_istate pt pos
neuper@42430:     val subst = get_bdv_subst prog env
neuper@42430:     val errpatthms = errpats
neuper@42430:       |> filter ((curry op = errpatID) o (#1: errpat -> errpatID))
neuper@42430:       |> map (#3: errpat -> thm list)
neuper@42430:       |> flat;
neuper@42430: 
neuper@42430: case map (get_fillpats subst f_curr errpatID) errpatthms |> flat of
neuper@42432:   ("fill-d_d-arg", tm) :: _ => if term2str tm = 
neuper@42432:     "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:     then () else error "find_fillpatterns changed 1a"
neuper@42432: | _ => error "find_fillpatterns changed 1b"
neuper@42430: 
neuper@42430: "~~~~~ fun get_fillpats, args:"; val (subst, form, errpatID, thm) =
neuper@42432:   (subst, f_curr, errpatID, hd (*simulate beginning of "map"*) errpatthms);
neuper@42430:         val thmDeriv = Thm.get_name_hint thm
neuper@42430:         val (part, thyID) = thy_containing_thm thmDeriv
neuper@42430:         val theID = [part, thyID, "Theorems", thmID_of_derivation_name thmDeriv]
neuper@42430:         val Hthm {fillpats, ...} = get_the theID
neuper@42430:         val some = map (get_fillform subst form errpatID) fillpats;
neuper@42430: 
neuper@42430: case some |> filter is_some |> map the of
neuper@42432:   ("fill-d_d-arg", tm) :: _ => if term2str tm = 
neuper@42432:     "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:     then () else error "find_fillpatterns changed 2a"
neuper@42432: | _ => error "find_fillpatterns changed 2b"
neuper@42430: 
neuper@42432: "~~~~~ fun get_fillform, args:"; val (subst, form, errpatID, ((fillpatID, pat, erpaID): fillpat)) =
neuper@42432:   (subst, form, errpatID, hd (*simulate beginning of "map"*) fillpats);
neuper@42432:     val (form', _, _, rewritten) =
neuper@42432:       rew_sub (Isac()) 1 subst e_rew_ord e_rls false [] (Trueprop $ pat) form;
neuper@42432: 
neuper@42432: if term2str form' = "d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" then ()
neuper@42432: else error "find_fillpatterns changed 3";
neuper@42432: 
neuper@42432: "~~~~~ to FindFillpatterns return val:"; val (fillpats) =
neuper@42432:   (map (get_fillpats subst f_curr errpatID) errpatthms |> flat) (*only from "hd errpatthms"*);
neuper@42432: 
neuper@42432: val msg = "fill patterns " ^ ((map (apsnd term2str) fillpats) |> map pair2str_ |> strs2str_);
neuper@42432: if msg =
neuper@42432:   "fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432:     " =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1" ^
neuper@42432:   "#fill-both-args#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432:     " =\nd_d x (x ^^^ 2) + cos ?_dummy_2 * d_d x ?_dummy_3" ^
neuper@42432:   "#fill-d_d#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432:     " =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1 x (x ^^^ 4)" ^
neuper@42432:   "#fill-inner-deriv#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))" ^
neuper@42432:     " =\nd_d x (x ^^^ 2) + cos (x ^^^ 4) * ?_dummy_1" ^
neuper@42432:   "#fill-all#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) = d_d x (x ^^^ 2) + ?_dummy_1#"
neuper@42432: then () else error "find_fillpatterns changed 4";
neuper@42432: 
neuper@42432: 
neuper@42432: "--------- embed fun get_fillform --------------------------------";
neuper@42432: "--------- embed fun get_fillform --------------------------------";
neuper@42432: "--------- embed fun get_fillform --------------------------------";
neuper@42432: states := [];
neuper@42432: CalcTree
neuper@42432: [(["functionTerm (x ^ 2 + sin (x ^ 4))", "differentiateFor x", "derivative f_f'"], 
neuper@42432:   ("Isac", ["derivative_of","function"], ["diff","differentiate_on_R"]))];
neuper@42432: Iterator 1;
neuper@42432: moveActiveRoot 1;
neuper@42432: autoCalculate 1 CompleteCalcHead;
neuper@42432: autoCalculate 1 (Step 1);
neuper@42432: autoCalculate 1 (Step 1);(*([1], Res), d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))*)
neuper@42432: appendFormula 1 "d_d x (x ^ 2) + cos (4 * x ^ 3)";
neuper@42432: (* the check for errpat is maximally liberal (whole term modulo "nrls" from "type met"),
neuper@42432:   would recognize "cos (4 * x ^ (4 - 1)) + 2 * x" as well.
neuper@42432:   results in <CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>
neuper@42432:   instead of <CALCMESSAGE> no derivation found </CALCMESSAGE> *)
neuper@42432: FindFillpatterns 1 "chain-rule-diff-both";
neuper@42432: (*<CALCMESSAGE> fill patterns #fill-d_d-arg#d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =
neuper@42432:   d_d x (x ^^^ 2) + cos (x ^^^ 4) * d_d x ?_dummy_1#fill-both-args#...#...#... *)
neuper@42432: 
neuper@42432: "~~~~~ fun requestFillformula, args:"; val (cI, (errpatID, fillpatID)) =
neuper@42432:   (1, ("chain-rule-diff-both", "fill-both-args"));
neuper@42432: val ((pt, _), _) = get_calc cI
neuper@42432: val pos = get_pos cI 1; (* = ([1], Res)*)
neuper@42432: 
neuper@42432: "~~~~~ fun get_fillformula, args:"; val ((pt, pos as (p, _)), (errpatID, fillpatID)) =
neuper@42432:   ((pt, pos), (errpatID, fillpatID));
neuper@42432: val fillforms = find_fillpatterns (pt, pos) errpatID
neuper@42432: val fillforms =
neuper@42432:   filter ((curry op = fillpatID) o (#1: (fillpatID * term -> fillpatID))) fillforms;
neuper@42432: 
neuper@42432: val [(fillpatID, fillform)] = fillforms;
neuper@42432: case (fillpatID, fillform) of
neuper@42432:  ("fill-both-args", tm) => if term2str tm = 
neuper@42432:      "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =\nd_d x (x ^^^ 2) + cos ?_dummy_2 * d_d x ?_dummy_3"
neuper@42432:      then () else error "get_fillformula changed 1a"
neuper@42432: | _ => error "get_fillformula changed 1b";
neuper@42432: 
neuper@42432:     val f_curr = get_curr_formula (pt, pos); (*already done in find_fillpatterns, too*)
neuper@42432: term2str f_curr = "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4))";
neuper@42432: 
neuper@42432: "~~~~~ fun generate_inconsistent, args:";
neuper@42432:   val (_, (Rewrite' (_,_,_,_, thm', f, (f', asm))), (is, ctxt), (p,_), pt) =
neuper@42432:     (0,
neuper@42432:       (Rewrite' ("","",e_rls,true, (fillpatID, ""(*errpatthm known in find_fillpatterns*)),
neuper@42432:         f_curr, (fillform, []))),
neuper@42432:       (get_loc pt pos), (lev_on p, Und), pt);
neuper@42432: if p = [2] then () else error "generate_inconsistent changed 1";
neuper@42432: 
neuper@42432: val (pt,c) = cappend_atomic pt p (is, insert_assumptions asm ctxt) f
neuper@42432:           (Rewrite thm') (f', asm) Inconsistent
neuper@42432: val pt = update_branch pt p TransitiveB;
neuper@42432: 
neuper@42432: "~~~~~ to get_fillformula return val:"; val (pos', _, _, pt) =
neuper@42432:   ((p,Res), c, Form' (FormKF (~1,EdUndef,(length p), Nundef, term2str f')), pt);
neuper@42432: if pos' = ([2], Res) then () else error "generate_inconsistent changed 2";
neuper@42432: 
neuper@42432: upd_calc cI ((pt, pos'), []); upd_ipos cI 1 pos';
neuper@42432: autocalculateOK2xml cI pos pos' pos';
neuper@42432: 
neuper@42432: "~~~~~ final check:";
neuper@42432: val ((pt,pos),_) = get_calc 1;
neuper@42432: val p = get_pos 1 1;
neuper@42432: val (Form f, tac, asms) = pt_extract (pt, p);
neuper@42432: if p = ([2], Res) andalso term2str f =
neuper@42432:   "d_d x (x ^^^ 2) + d_d x (sin (x ^^^ 4)) =\nd_d x (x ^^^ 2) + cos ?_dummy_2 * d_d x ?_dummy_3"
neuper@42432: then () else error "";
neuper@42432: 
neuper@42432: show_pt pt; (*ATTENTION: omits the last step, if pt is incomplete, ([2], Res) EXISTS !*)
neuper@42432: