walther@59909
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(* Title: "Interpret/error-pattern.sml"
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akargl@42176
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Author: Walther Neuper 060225,
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neuper@37906
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(c) due to copyright terms
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walther@59860
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4 |
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walther@59860
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Strange ERROR "Undefined fact: "all_left""
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neuper@37906
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*)
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neuper@37906
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neuper@37906
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"-----------------------------------------------------------------";
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neuper@37906
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"table of contents -----------------------------------------------";
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neuper@37906
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"-----------------------------------------------------------------";
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neuper@37906
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"appendForm with miniscript with mini-subpbl:";
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neuper@37906
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"--------- appendFormula: on Res + equ_nrls ----------------------";
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neuper@37906
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"--------- appendFormula: on Frm + equ_nrls ----------------------";
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neuper@37906
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"--------- appendFormula: on Res + NO deriv ----------------------";
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neuper@37906
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"--------- appendFormula: on Res + late deriv [x = 3 + -2]---///--";
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neuper@37906
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"replaceForm with miniscript with mini-subpbl:";
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neuper@37906
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"--------- replaceFormula: on Res + = ----------------------------";
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neuper@37906
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"--------- replaceFormula: on Res + = 1st Nd ---------------------";
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neuper@37906
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"--------- replaceFormula: on Frm + = 1st Nd ---------------------";
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neuper@37906
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"--------- replaceFormula: cut calculation -----------------------";
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neuper@37906
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"--------- replaceFormula: cut calculation -----------------------";
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neuper@37906
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(* 040307 copied from informtest.sml ... old versions
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neuper@37906
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"--------- maximum-example, UC: Modeling / modifyCalcHead --------";*)
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neuper@37906
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"--------- syntax error ------------------------------------------";
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neuper@37906
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"CAS-command:";
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neuper@37906
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"--------- CAS-command on ([],Pbl) -------------------------------";
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neuper@37906
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"--------- CAS-command on ([],Pbl) FE-interface ------------------";
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walther@59772
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"--------- locate_input_term [rational,simplification] ----------------------";
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neuper@37906
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"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
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neuper@37906
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"--------- Take as 1st tac, start from exp -----------------------";
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walther@59845
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"--------- implicit_take, start with <NEW> (CAS input) ---------------";
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walther@59909
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"--------- build fun check_for' ------------------------------";
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walther@59909
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"--------- build fun check_for' ?bdv -------------------------";
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walther@59909
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"--------- build fun check_for ------------------------";
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walther@59909
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"--------- embed fun check_for ------------------------";
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walther@59909
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"--------- embed fun find_fill_patterns ---------------------------";
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neuper@48895
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"--------- build fun is_exactly_equal, inputFillFormula ----------";
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wneuper@59262
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"--------- fun appl_adds -----------------------------------------";
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wneuper@59264
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"--------- fun concat_deriv --------------------------------------";
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wneuper@59264
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"--------- handle an input formula -------------------------------";
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wneuper@59264
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"--------- fun dropwhile' ----------------------------------------";
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neuper@37906
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"-----------------------------------------------------------------";
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neuper@37906
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"-----------------------------------------------------------------";
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neuper@37906
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"-----------------------------------------------------------------";
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neuper@37906
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neuper@37906
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neuper@37906
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"--------- appendFormula: on Res + equ_nrls ----------------------";
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neuper@37906
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"--------- appendFormula: on Res + equ_nrls ----------------------";
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neuper@37906
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"--------- appendFormula: on Res + equ_nrls ----------------------";
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walther@60154
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val Prog sc = (#scr o MethodC.from_store) ["Test", "squ-equ-test-subpbl1"];
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walther@59868
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(writeln o UnparseC.term) sc;
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walther@60154
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val Prog sc = (#scr o MethodC.from_store) ["Test", "solve_linear"];
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walther@59868
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(writeln o UnparseC.term) sc;
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neuper@37906
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s1210629013@55445
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55 |
reset_states ();
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walther@59997
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CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
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walther@59997
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("Test", ["sqroot-test", "univariate", "equation", "test"],
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walther@59997
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["Test", "squ-equ-test-subpbl1"]))];
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neuper@37906
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Iterator 1; moveActiveRoot 1;
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wneuper@59248
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autoCalculate 1 CompleteCalcHead;
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walther@59747
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autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
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walther@60324
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autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 + - 1 * 2 = 0*);
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neuper@37906
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walther@60324
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appendFormula 1 "- 2 * 1 + (1 + x) = 0" (*|> Future.join*); refFormula 1 (get_pos 1 1);
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neuper@37906
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val ((pt,_),_) = get_calc 1;
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wneuper@59279
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val str = pr_ctree pr_short pt;
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neuper@48895
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if str =
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neuper@48895
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(". ----- pblobj -----\n" ^
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neuper@48895
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"1. x + 1 = 2\n" ^
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walther@60324
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"2. x + 1 + - 1 * 2 = 0\n" ^
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walther@60324
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"2.1. x + 1 + - 1 * 2 = 0\n" ^
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walther@60324
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"2.2. 1 + x + - 1 * 2 = 0\n" ^
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walther@60324
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"2.3. 1 + (x + - 1 * 2) = 0\n" ^
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walther@60324
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"2.4. 1 + (x + - 2) = 0\n" ^
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walther@60324
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"2.5. 1 + (x + - 2 * 1) = 0\n" ^
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walther@60324
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"2.6. 1 + x + - 2 * 1 = 0\n" ) then ()
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neuper@48895
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else error "inform.sml: diff.behav.appendFormula: on Res + equ 1";
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neuper@37906
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neuper@37906
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moveDown 1 ([ ],Pbl); refFormula 1 ([1],Frm); (*x + 1 = 2*)
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walther@60324
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moveDown 1 ([1],Frm); refFormula 1 ([1],Res); (*x + 1 + - 1 * 2 = 0*)
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neuper@37906
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neuper@37906
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(*the seven steps of detailed derivation*)
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neuper@37906
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moveDown 1 ([1 ],Res); refFormula 1 ([2,1],Frm);
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neuper@37906
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moveDown 1 ([2,1],Frm); refFormula 1 ([2,1],Res);
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neuper@37906
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moveDown 1 ([2,1],Res); refFormula 1 ([2,2],Res);
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neuper@37906
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moveDown 1 ([2,2],Res); refFormula 1 ([2,3],Res);
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neuper@37906
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moveDown 1 ([2,3],Res); refFormula 1 ([2,4],Res);
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neuper@37906
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moveDown 1 ([2,4],Res); refFormula 1 ([2,5],Res);
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neuper@37906
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moveDown 1 ([2,5],Res); refFormula 1 ([2,6],Res);
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neuper@37906
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val ((pt,_),_) = get_calc 1;
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walther@60324
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if "- 2 * 1 + (1 + x) = 0" = UnparseC.term (fst (get_obj g_result pt [2,6])) then()
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neuper@38031
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else error "inform.sml: diff.behav.appendFormula: on Res + equ 2";
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neuper@37906
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neuper@37906
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fetchProposedTactic 1; (*takes Iterator 1 _1_*)
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neuper@48895
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(* <ERROR> error in kernel </ERROR> ALREADY IN 2009-2*)
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neuper@48895
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(*========== inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 =============
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neuper@37906
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val (_,(tac,_,_)::_) = get_calc 1;
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neuper@37906
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if tac = Rewrite_Set "Test_simplify" then ()
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neuper@38031
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else error "inform.sml: diff.behav.appendFormula: on Res + equ 3";
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neuper@48895
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============ inhibit exn WN1130701 broken at Isabelle2002 --> 2009-2 ============*)
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akargl@42209
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wneuper@59248
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autoCalculate 1 CompleteCalc;
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neuper@37906
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val ((pt,_),_) = get_calc 1;
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walther@59868
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if "[x = 1]" = UnparseC.term (fst (get_obj g_result pt [])) then ()
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neuper@38031
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else error "inform.sml: diff.behav.appendFormula: on Res + equ 4";
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wneuper@59248
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(* autoCalculate 1 CompleteCalc;
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neuper@37906
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val ((pt,p),_) = get_calc 1;
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [ ]);
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [1]);
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [2]);
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [3]);
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [3,1]);
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [3,2]);
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neuper@37906
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(writeln o istates2str) (get_obj g_loc pt [4]);
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neuper@37906
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neuper@37906
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*)
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neuper@37906
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"----------------------------------------------------------";
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akargl@42176
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walther@59907
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val fod = Derive.do_one (@{theory "Isac_Knowledge"}) Atools_erls
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walther@59852
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((#rules o Rule_Set.rep) Test_simplify)
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akargl@42176
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(sqrt_right false (@{theory "Pure"})) NONE
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walther@60324
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(TermC.str2term "x + 1 + - 1 * 2 = 0");
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walther@59906
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(writeln o Derive.trtas2str) fod;
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neuper@37906
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walther@59907
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val ifod = Derive.do_one (@{theory "Isac_Knowledge"}) Atools_erls
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walther@59852
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((#rules o Rule_Set.rep) Test_simplify)
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akargl@42176
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(sqrt_right false (@{theory "Pure"})) NONE
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walther@60324
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(TermC.str2term "- 2 * 1 + (1 + x) = 0");
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walther@59906
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(writeln o Derive.trtas2str) ifod;
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akargl@42176
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fun equal (_,_,(t1, _)) (_,_,(t2, _)) = t1 = t2;
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neuper@37906
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val (fod', rifod') = dropwhile' equal (rev fod) (rev ifod);
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walther@59906
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val der = fod' @ (map Derive.rev_deriv' rifod');
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walther@59906
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(writeln o Derive.trtas2str) der;
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neuper@37906
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"----------------------------------------------------------";
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wneuper@59252
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DEconstrCalcTree 1;
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neuper@37906
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neuper@37906
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"--------- appendFormula: on Frm + equ_nrls ----------------------";
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neuper@37906
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138 |
"--------- appendFormula: on Frm + equ_nrls ----------------------";
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neuper@37906
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"--------- appendFormula: on Frm + equ_nrls ----------------------";
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s1210629013@55445
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140 |
reset_states ();
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walther@59997
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CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
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walther@59997
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("Test", ["sqroot-test", "univariate", "equation", "test"],
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walther@59997
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["Test", "squ-equ-test-subpbl1"]))];
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neuper@37906
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Iterator 1; moveActiveRoot 1;
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wneuper@59248
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autoCalculate 1 CompleteCalcHead;
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walther@59747
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autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1) (*x + 1 = 2*);
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walther@60324
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147 |
appendFormula 1 "2+ - 1 + x = 2" (*|> Future.join*); refFormula 1 (get_pos 1 1);
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neuper@37906
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148 |
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neuper@37906
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moveDown 1 ([],Pbl); refFormula 1 ([1],Frm) (*x + 1 = 2*);
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neuper@37906
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150 |
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neuper@37906
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moveDown 1 ([1 ],Frm); refFormula 1 ([1,1],Frm);
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neuper@37906
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moveDown 1 ([1,1],Frm); refFormula 1 ([1,1],Res);
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neuper@37906
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153 |
moveDown 1 ([1,1],Res); refFormula 1 ([1,2],Res);
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neuper@37906
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154 |
moveDown 1 ([1,2],Res); refFormula 1 ([1,3],Res);
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neuper@37906
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155 |
moveDown 1 ([1,3],Res); refFormula 1 ([1,4],Res);
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neuper@37906
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156 |
moveDown 1 ([1,4],Res); refFormula 1 ([1,5],Res);
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neuper@37906
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moveDown 1 ([1,5],Res); refFormula 1 ([1,6],Res);
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neuper@37906
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val ((pt,_),_) = get_calc 1;
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walther@60324
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if "2 + - 1 + x = 2" = UnparseC.term (fst (get_obj g_result pt [1,6])) then()
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neuper@38031
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else error "inform.sml: diff.behav.appendFormula: on Frm + equ 1";
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neuper@37906
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neuper@37906
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fetchProposedTactic 1; (*takes Iterator 1 _1_*)
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neuper@37906
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val (_,(tac,_,_)::_) = get_calc 1;
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wneuper@59253
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case tac of Rewrite_Set "norm_equation" => ()
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wneuper@59253
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| _ => error "inform.sml: diff.behav.appendFormula: on Frm + equ 2";
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wneuper@59248
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autoCalculate 1 CompleteCalc;
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neuper@37906
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val ((pt,_),_) = get_calc 1;
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walther@59868
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168 |
if "[x = 1]" = UnparseC.term (fst (get_obj g_result pt [])) then ()
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neuper@38031
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169 |
else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
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wneuper@59252
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170 |
DEconstrCalcTree 1;
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neuper@37906
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171 |
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neuper@37906
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172 |
"--------- appendFormula: on Res + NO deriv ----------------------";
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neuper@37906
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173 |
"--------- appendFormula: on Res + NO deriv ----------------------";
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neuper@37906
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174 |
"--------- appendFormula: on Res + NO deriv ----------------------";
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s1210629013@55445
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175 |
reset_states ();
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walther@59997
|
176 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
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walther@59997
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177 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
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walther@59997
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["Test", "squ-equ-test-subpbl1"]))];
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neuper@37906
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Iterator 1; moveActiveRoot 1;
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wneuper@59248
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180 |
autoCalculate 1 CompleteCalcHead;
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walther@59747
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181 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
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walther@60324
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182 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 + - 1 * 2 = 0*);
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neuper@37906
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183 |
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wneuper@59123
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184 |
appendFormula 1 "x = 2" (*|> Future.join*);
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neuper@37906
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185 |
val ((pt,p),_) = get_calc 1;
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wneuper@59279
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186 |
val str = pr_ctree pr_short pt;
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neuper@37906
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187 |
writeln str;
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neuper@37906
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188 |
if str = ". ----- pblobj -----\n1. x + 1 = 2\n" andalso p = ([1], Res)
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neuper@37906
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189 |
then ()
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neuper@38031
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190 |
else error "inform.sml: diff.behav.appendFormula: Res + NOder 1";
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neuper@37906
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191 |
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neuper@37906
|
192 |
fetchProposedTactic 1;
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neuper@37906
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193 |
val (_,(tac,_,_)::_) = get_calc 1;
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wneuper@59253
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194 |
case tac of Rewrite_Set "Test_simplify" => ()
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wneuper@59253
|
195 |
| _ => error "inform.sml: diff.behav.appendFormula: Res + NOder 2";
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wneuper@59248
|
196 |
autoCalculate 1 CompleteCalc;
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neuper@37906
|
197 |
val ((pt,_),_) = get_calc 1;
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walther@59868
|
198 |
if "[x = 1]" = UnparseC.term (fst (get_obj g_result pt [])) then ()
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neuper@38031
|
199 |
else error "inform.sml: diff.behav.appendFormula: on Frm + equ 3";
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wneuper@59252
|
200 |
DEconstrCalcTree 1;
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neuper@37906
|
201 |
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neuper@37906
|
202 |
"--------- appendFormula: on Res + late deriv --------------------";
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neuper@37906
|
203 |
"--------- appendFormula: on Res + late deriv --------------------";
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neuper@37906
|
204 |
"--------- appendFormula: on Res + late deriv --------------------";
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walther@59794
|
205 |
(*cp with "fun me" to test/../lucas-interpreter.sml:
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walther@59794
|
206 |
re-build: fun locate_input_term ---------------------------------------------------";
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walther@59794
|
207 |
*)
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s1210629013@55445
|
208 |
reset_states ();
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walther@59997
|
209 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
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walther@59997
|
210 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
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walther@59997
|
211 |
["Test", "squ-equ-test-subpbl1"]))];
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neuper@37906
|
212 |
Iterator 1; moveActiveRoot 1;
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wneuper@59248
|
213 |
autoCalculate 1 CompleteCalcHead;
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walther@59747
|
214 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
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walther@60324
|
215 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 + - 1 * 2 = 0*);
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neuper@37906
|
216 |
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wneuper@59123
|
217 |
appendFormula 1 "x = 1" (*|> Future.join*);
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neuper@37906
|
218 |
val ((pt,p),_) = get_calc 1;
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wneuper@59279
|
219 |
val str = pr_ctree pr_short pt;
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neuper@37906
|
220 |
writeln str;
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walther@60324
|
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)
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neuper@37906
|
222 |
then () (*finds 1 step too early: ([3,2], Res) "x = 1" also by script !!!*)
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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"] => ()
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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;
|
walther@59868
|
231 |
if "[x = 1]" = UnparseC.term (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 |
|
walther@60324
|
235 |
"--------- appendFormula: on Res + late deriv [x = 3 + - 2]---///--";
|
walther@60324
|
236 |
"--------- appendFormula: on Res + late deriv [x = 3 + - 2]---///--";
|
walther@60324
|
237 |
"--------- appendFormula: on Res + late deriv [x = 3 + - 2]---///--";
|
s1210629013@55445
|
238 |
reset_states ();
|
walther@59997
|
239 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
|
walther@59997
|
240 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
|
walther@59997
|
241 |
["Test", "squ-equ-test-subpbl1"]))];
|
neuper@37906
|
242 |
Iterator 1; moveActiveRoot 1;
|
wneuper@59248
|
243 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
244 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
|
walther@60324
|
245 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 + - 1 * 2 = 0*);
|
wneuper@59123
|
246 |
appendFormula 1 "[x = 3 + -2*1]" (*|> Future.join*);
|
neuper@37906
|
247 |
val ((pt,p),_) = get_calc 1;
|
wneuper@59279
|
248 |
val str = pr_ctree pr_short pt;
|
neuper@37906
|
249 |
writeln str;
|
walther@60324
|
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;
|
walther@60324
|
254 |
if "[x = 3 + - 2 * 1]" = UnparseC.term (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 ();
|
walther@59997
|
263 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
|
walther@59997
|
264 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
|
walther@59997
|
265 |
["Test", "squ-equ-test-subpbl1"]))];
|
neuper@37906
|
266 |
Iterator 1; moveActiveRoot 1;
|
wneuper@59248
|
267 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
268 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
|
walther@60324
|
269 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 + - 1 * 2 = 0*);
|
walther@60324
|
270 |
autoCalculate 1 (Steps 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;
|
wneuper@59279
|
274 |
val str = pr_ctree 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
|
walther@60324
|
279 |
2. x + 1 + - 1 * 2 = 0\n
|
walther@60324
|
280 |
2.1. x + 1 + - 1 * 2 = 0\n
|
walther@60324
|
281 |
2.2. 1 + x + - 1 * 2 = 0\n
|
walther@60324
|
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"^
|
walther@60324
|
290 |
"2. x + 1 + - 1 * 2 = 0\n"^
|
walther@60324
|
291 |
"2.1. x + 1 + - 1 * 2 = 0\n"^
|
walther@60324
|
292 |
"2.2. 1 + x + - 1 * 2 = 0\n"^
|
walther@60324
|
293 |
"2.3. 1 + (x + - 1 * 2) = 0\n"^
|
walther@60324
|
294 |
"2.4. 1 + (x + - 2) = 0\n"^
|
walther@60324
|
295 |
"2.5. 1 + (x + - 2 * 1) = 0\n"^
|
walther@60324
|
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;
|
walther@59868
|
301 |
if pos = ([],Res) andalso "[x = 1]" = (UnparseC.term 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 ();
|
walther@59997
|
309 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
|
walther@59997
|
310 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
|
walther@59997
|
311 |
["Test", "squ-equ-test-subpbl1"]))];
|
neuper@37906
|
312 |
Iterator 1; moveActiveRoot 1;
|
wneuper@59248
|
313 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
314 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
|
walther@60324
|
315 |
autoCalculate 1 (Steps 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;
|
wneuper@59279
|
319 |
val str = pr_ctree pr_short pt;
|
neuper@37906
|
320 |
writeln str;
|
walther@60324
|
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;
|
walther@59868
|
325 |
if pos = ([],Res) andalso "[x = 1]" = (UnparseC.term 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 ();
|
walther@59997
|
333 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
|
walther@59997
|
334 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
|
walther@59997
|
335 |
["Test", "squ-equ-test-subpbl1"]))];
|
neuper@37906
|
336 |
Iterator 1; moveActiveRoot 1;
|
wneuper@59248
|
337 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
338 |
autoCalculate 1 (Steps 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;
|
wneuper@59279
|
342 |
val str = pr_ctree pr_short pt;
|
walther@60340
|
343 |
writeln str;
|
walther@60324
|
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;
|
walther@59868
|
348 |
if pos = ([],Res) andalso "[x = 1]" = (UnparseC.term 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 ();
|
walther@59997
|
356 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
|
walther@59997
|
357 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
|
walther@59997
|
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;
|
wneuper@59279
|
367 |
val str = pr_ctree 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);
|
walther@59997
|
379 |
val elems = ["fixedValues [r=Arbfix]", "maximum A", "valuesFor [a,b]",
|
walther@60242
|
380 |
"relations [A=a*b, (a/2) \<up> 2 + (b/2) \<up> 2 = r \<up> 2]",
|
walther@60242
|
381 |
"relations [A=a*b, (a/2) \<up> 2 + (b/2) \<up> 2 = r \<up> 2]",
|
wneuper@59582
|
382 |
"relations [A=a*b, a/2=r*sin alpha, b/2=r*cos (alpha::real)]",
|
walther@60242
|
383 |
(* \<up> these are the elements for the root-problem (in variants)*)
|
neuper@37906
|
384 |
(*vvv these are elements required for subproblems*)
|
walther@59997
|
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*)
|
walther@59997
|
391 |
val spec = ("DiffApp", ["maximum_of", "function"],
|
walther@59997
|
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", ...*)
|
walther@59942
|
402 |
val pbl = get_obj g_pbl pt (fst p); (writeln o (I_Model.to_string 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]"*)
|
walther@59942
|
406 |
val pbl = get_obj g_pbl pt (fst p); (writeln o (I_Model.to_string 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*)
|
walther@59976
|
414 |
val (b,pt,ocalhd) = input_icalhd pt (p,"", empty_model, Pbl, References.empty);
|
walther@59942
|
415 |
val pbl = get_obj g_pbl pt (fst p); (writeln o (I_Model.to_string ctxt)) pbl;
|
walther@59879
|
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(\"ThyC.id_empty\", [\"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"],
|
walther@59976
|
422 |
Relate ["relations"]], Pbl, References.empty);
|
walther@59942
|
423 |
val pbl = get_obj g_pbl pt (fst p); (writeln o (I_Model.to_string ctxt)) pbl;
|
walther@59879
|
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(\"ThyC.id_empty\", [\"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=a*b, a/2=r*sin alpha, \
|
walther@59976
|
432 |
\b/2=r*cos alpha]"]], Pbl, References.empty);
|
walther@59942
|
433 |
val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (I_Model.to_string ctxt)) pbl;
|
walther@60242
|
434 |
if ocalhd2str ocalhd = ------------ \<up> \<up> \<up> ^ 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, \
|
walther@60242
|
441 |
\(a/2) \<up> 2 + (b/2) \<up> 2 = r \<up> 2]"]],
|
walther@59976
|
442 |
Pbl, References.empty);
|
walther@59942
|
443 |
val pbl = get_obj g_pbl pt''''' (fst p); (writeln o (I_Model.to_string 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 ();
|
walther@59997
|
453 |
CalcTree [(["equality (x+1=(2::real))", "solveFor x", "solutions L"],
|
walther@59997
|
454 |
("Test", ["sqroot-test", "univariate", "equation", "test"],
|
walther@59997
|
455 |
["Test", "squ-equ-test-subpbl1"]))];
|
neuper@37906
|
456 |
Iterator 1; moveActiveRoot 1;
|
wneuper@59248
|
457 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
458 |
autoCalculate 1 (Steps 1); refFormula 1 (get_pos 1 1);(*x + 1 = 2*)
|
walther@60324
|
459 |
autoCalculate 1 (Steps 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;
|
wneuper@59279
|
463 |
val str = pr_ctree 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) =
|
walther@59903
|
473 |
CalcTreeTEST [([], ("empty_thy_id", ["empty_probl_id"], ["empty_meth_id"]))];
|
walther@60340
|
474 |
val ifo = "solve(x+1=2,x)";
|
walther@60340
|
475 |
val (_,(_,c,(pt,p))) = Step_Solve.by_term (pt,p) "solve(x+1=2,x)";
|
walther@59921
|
476 |
(*
|
walther@60242
|
477 |
This trick \<up> \<up> \<up> micked input of \<up> \<up> \<up> \<up> \<up> ^^ in the front-end.
|
walther@59921
|
478 |
The trick worked in changeset fbaff8cf0179, it does not work in 59c5dd27d589 anymore
|
walther@59921
|
479 |
(TODO hg bisect ?) and raises the ERROR Undefined fact: "xfoldr_Nil".
|
walther@59921
|
480 |
|
walther@59921
|
481 |
Compare tests "CAS-command" in test/../inssort.sml etc.
|
walther@59921
|
482 |
---------------------------------------------------------------------------------------------
|
walther@59983
|
483 |
Test_Tool.show_pt pt;
|
walther@59997
|
484 |
val nxt = (Apply_Method ["Test", "squ-equ-test-subpbl1"]);
|
neuper@37906
|
485 |
val (p,_,f,nxt,_,pt) = me nxt p [] pt;
|
neuper@37906
|
486 |
if p = ([1], Frm) andalso f2str f = "x + 1 = 2" then ()
|
neuper@38031
|
487 |
else error "inform.sml: diff.behav. CAScmd ([],Pbl)";
|
wneuper@59252
|
488 |
DEconstrCalcTree 1;
|
walther@59921
|
489 |
-----------------------------------------------------------------------------------------------*)
|
neuper@37906
|
490 |
|
neuper@37906
|
491 |
"--------- CAS-command on ([],Pbl) FE-interface ------------------";
|
neuper@37906
|
492 |
"--------- CAS-command on ([],Pbl) FE-interface ------------------";
|
neuper@37906
|
493 |
"--------- CAS-command on ([],Pbl) FE-interface ------------------";
|
s1210629013@55445
|
494 |
reset_states ();
|
walther@59903
|
495 |
CalcTree [([], ("empty_thy_id", ["empty_probl_id"], ["empty_meth_id"]))];
|
neuper@37906
|
496 |
Iterator 1;
|
neuper@37906
|
497 |
moveActiveRoot 1;
|
walther@60340
|
498 |
replaceFormula 1 "solve(x+1=2,x)";
|
wneuper@59248
|
499 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
500 |
val ((pt,p),_) = get_calc 1;
|
walther@59983
|
501 |
Test_Tool.show_pt pt;
|
neuper@37906
|
502 |
if p = ([], Res) then ()
|
neuper@38031
|
503 |
else error "inform.sml: diff.behav. CAScmd ([],Pbl) FE-interface";
|
wneuper@59252
|
504 |
DEconstrCalcTree 1;
|
neuper@37906
|
505 |
|
wneuper@59562
|
506 |
"--------- inform [rational,simplification] ----------------------";
|
wneuper@59562
|
507 |
"--------- inform [rational,simplification] ----------------------";
|
wneuper@59562
|
508 |
"--------- inform [rational,simplification] ----------------------";
|
s1210629013@55445
|
509 |
reset_states ();
|
neuper@52105
|
510 |
CalcTree [(["Term (a * x / (b * x) + c * x / (d * x) + e / f)", "normalform N"],
|
neuper@52105
|
511 |
("Rational", ["rational", "simplification"], ["simplification", "of_rationals"]))];
|
neuper@37906
|
512 |
Iterator 1; moveActiveRoot 1;
|
wneuper@59248
|
513 |
autoCalculate 1 CompleteCalcHead;
|
neuper@52105
|
514 |
|
walther@60324
|
515 |
"--- (- 1) give a preview on the calculation without any input";
|
neuper@52105
|
516 |
(*
|
wneuper@59248
|
517 |
autoCalculate 1 CompleteCalc;
|
neuper@52105
|
518 |
val ((pt, p), _) = get_calc 1;
|
walther@59983
|
519 |
Test_Tool.show_pt pt;
|
neuper@52105
|
520 |
[
|
neuper@52105
|
521 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
522 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
523 |
(([1], Res), a / b + c / d + e / f), <--- (1) input arbitrary
|
neuper@52105
|
524 |
(([2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
525 |
(([3], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
|
neuper@52105
|
526 |
(([4], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)), <--- (2) input next
|
neuper@52105
|
527 |
(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))] <--- (3) is also final result
|
neuper@52105
|
528 |
EXAMPLE NOT OPTIMAL
|
neuper@52105
|
529 |
*)
|
neuper@52105
|
530 |
"--- (0) user input as the *first* step does not work, thus impdo at least 1 step";
|
walther@59747
|
531 |
autoCalculate 1 (Steps 1);
|
walther@59747
|
532 |
autoCalculate 1 (Steps 1);
|
neuper@52105
|
533 |
val ((pt, p), _) = get_calc 1;
|
walther@59983
|
534 |
(*Test_Tool.show_pt pt;
|
neuper@52105
|
535 |
[
|
neuper@52105
|
536 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
537 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
538 |
(([1], Res), a / b + c / d + e / f)]
|
neuper@52105
|
539 |
*)
|
neuper@52105
|
540 |
"--- (1) input an arbitrary next formula";
|
wneuper@59123
|
541 |
appendFormula 1 "((a * d) + (c * b)) / (b * d) + e / f" (*|> Future.join*);
|
neuper@52105
|
542 |
val ((pt, p), _) = get_calc 1;
|
walther@59983
|
543 |
(*Test_Tool.show_pt pt;
|
neuper@52105
|
544 |
[
|
neuper@52105
|
545 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
546 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
547 |
(([1], Res), a / b + c / d + e / f),
|
neuper@52105
|
548 |
(([2,1], Frm), a / b + c / d + e / f),
|
neuper@52105
|
549 |
(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
550 |
(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
551 |
(([2], Res), (a * d + c * b) / (b * d) + e / f)]
|
neuper@52105
|
552 |
*)
|
neuper@37906
|
553 |
val ((pt,p),_) = get_calc 1;
|
neuper@52105
|
554 |
if p = ([2], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
|
neuper@38031
|
555 |
else error ("inform.sml: [rational,simplification] 1");
|
neuper@37906
|
556 |
|
neuper@52105
|
557 |
"--- (2) input the next formula that would be presented by mat-engine";
|
neuper@52105
|
558 |
(* generate a preview:
|
walther@59747
|
559 |
autoCalculate 1 (Steps 1);
|
neuper@52105
|
560 |
val ((pt, p), _) = get_calc 1;
|
walther@59983
|
561 |
Test_Tool.show_pt pt;
|
neuper@52105
|
562 |
[
|
neuper@52105
|
563 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
564 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
565 |
(([1], Res), a / b + c / d + e / f),
|
neuper@52105
|
566 |
(([2,1], Frm), a / b + c / d + e / f),
|
neuper@52105
|
567 |
(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
568 |
(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
569 |
(([2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
570 |
(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))] <--- input this
|
neuper@52105
|
571 |
*)
|
wneuper@59123
|
572 |
appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (*|> Future.join*);
|
neuper@52105
|
573 |
val ((pt, p), _) = get_calc 1;
|
walther@59983
|
574 |
(*Test_Tool.show_pt pt;
|
neuper@52105
|
575 |
[
|
neuper@52105
|
576 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
577 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
578 |
(([1], Res), a / b + c / d + e / f),
|
neuper@52105
|
579 |
(([2,1], Frm), a / b + c / d + e / f),
|
neuper@52105
|
580 |
(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
581 |
(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
582 |
(([2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
583 |
(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
|
neuper@52105
|
584 |
*)
|
neuper@52105
|
585 |
if p = ([3], Res) andalso (length o children o (get_nd pt)) (fst p) = 0 then ()
|
neuper@38031
|
586 |
else error ("inform.sml: [rational,simplification] 2");
|
neuper@37906
|
587 |
|
neuper@52105
|
588 |
"--- (3) input the exact final result";
|
wneuper@59123
|
589 |
appendFormula 1 "(b * d * e + b * c * f + a * d * f) / (b * d * f)" (*|> Future.join*);
|
neuper@52105
|
590 |
val ((pt, p), _) = get_calc 1;
|
walther@59983
|
591 |
(*Test_Tool.show_pt pt;
|
neuper@52105
|
592 |
[
|
neuper@52105
|
593 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
594 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
595 |
(([1], Res), a / b + c / d + e / f),
|
neuper@52105
|
596 |
(([2,1], Frm), a / b + c / d + e / f),
|
neuper@52105
|
597 |
(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
598 |
(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
599 |
(([2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
600 |
(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
601 |
(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
602 |
(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
|
neuper@52105
|
603 |
(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
604 |
(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f))]
|
neuper@52105
|
605 |
*)
|
neuper@52105
|
606 |
if p = ([4], Res) andalso (length o children o (get_nd pt)) (fst p) = 2 then ()
|
neuper@38031
|
607 |
else error ("inform.sml: [rational,simplification] 3");
|
neuper@52105
|
608 |
|
neuper@52105
|
609 |
"--- (4) finish the calculation + check the postcondition (in the future)";
|
wneuper@59248
|
610 |
autoCalculate 1 CompleteCalc;
|
neuper@52105
|
611 |
val ((pt, p), _) = get_calc 1;
|
neuper@52105
|
612 |
val (t, asm) = get_obj g_result pt [];
|
walther@59868
|
613 |
if UnparseC.term t = "(a * d * f + b * c * f + b * d * e) / (b * d * f)" andalso
|
walther@59921
|
614 |
UnparseC.terms asm =(*"[\"b * d * f \<noteq> 0\",\"d \<noteq> 0\",\"b \<noteq> 0\",\"a * x / (b * x) + c * x / (d * x) + e / f is_ratpolyexp\"]"*)
|
walther@59921
|
615 |
"[]" (*..found broken in child of 33913fe24685, error covered by CAS-command *)
|
neuper@52105
|
616 |
then () else error "inform [rational,simplification] changed at end";
|
walther@59983
|
617 |
(*Test_Tool.show_pt pt;
|
neuper@52105
|
618 |
[
|
neuper@52105
|
619 |
(([], Frm), Simplify (a * x / (b * x) + c * x / (d * x) + e / f)),
|
neuper@52105
|
620 |
(([1], Frm), a * x / (b * x) + c * x / (d * x) + e / f),
|
neuper@52105
|
621 |
(([1], Res), a / b + c / d + e / f),
|
neuper@52105
|
622 |
(([2,1], Frm), a / b + c / d + e / f),
|
neuper@52105
|
623 |
(([2,1], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
624 |
(([2,2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
625 |
(([2], Res), (a * d + c * b) / (b * d) + e / f),
|
neuper@52105
|
626 |
(([3], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
627 |
(([4,1], Frm), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
628 |
(([4,1], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
|
neuper@52105
|
629 |
(([4,2], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
630 |
(([4], Res), (b * d * e + b * c * f + a * d * f) / (b * d * f)),
|
neuper@52105
|
631 |
(([5], Res), (a * (d * f) + b * (c * f) + b * (d * e)) / (b * (d * f))),
|
neuper@52105
|
632 |
(([6], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f)),
|
neuper@52105
|
633 |
(([], Res), (a * d * f + b * c * f + b * d * e) / (b * d * f))]
|
neuper@52105
|
634 |
*)
|
wneuper@59252
|
635 |
DEconstrCalcTree 1;
|
neuper@37906
|
636 |
|
neuper@37906
|
637 |
"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
|
neuper@37906
|
638 |
"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
|
neuper@37906
|
639 |
"--------- Take as 1st tac, start with <NEW> (CAS input) ---------";
|
walther@60242
|
640 |
val t = TermC.str2term "Diff (x \<up> 2 + x + 1, x)";
|
walther@60336
|
641 |
case t of Const (\<^const_name>\<open>Diff\<close>, _) $ _ => ()
|
neuper@37906
|
642 |
| _ => raise
|
neuper@37906
|
643 |
error "diff.sml behav.changed for CAS Diff (..., x)";
|
walther@60230
|
644 |
TermC.atomty t;
|
neuper@37906
|
645 |
"-----------------------------------------------------------------";
|
s1210629013@55445
|
646 |
(*1>*)reset_states ();
|
walther@59903
|
647 |
(*2>*)CalcTree [([], ("empty_thy_id", ["empty_probl_id"], ["empty_meth_id"]))];
|
neuper@37906
|
648 |
(*3>*)Iterator 1;moveActiveRoot 1;
|
neuper@37906
|
649 |
"----- here the Headline has been finished";
|
neuper@37906
|
650 |
(*4>*)moveActiveFormula 1 ([],Pbl);
|
walther@60242
|
651 |
(*5>*)replaceFormula 1 "Diff (x \<up> 2 + x + 1, x)";
|
neuper@37906
|
652 |
val ((pt,_),_) = get_calc 1;
|
walther@59921
|
653 |
val PblObj {probl, meth, spec, fmz, loc, ...} = get_obj I pt [];
|
neuper@37926
|
654 |
val (SOME istate, NONE) = loc;
|
wneuper@59348
|
655 |
(*default_print_depth 5;*)
|
neuper@37906
|
656 |
writeln"-----------------------------------------------------------";
|
neuper@37906
|
657 |
spec;
|
walther@59942
|
658 |
writeln (I_Model.to_string ctxt probl);
|
walther@59942
|
659 |
writeln (I_Model.to_string ctxt meth);
|
walther@59844
|
660 |
writeln (Istate.string_of (fst istate));
|
neuper@37906
|
661 |
|
neuper@37906
|
662 |
refFormula 1 ([],Pbl) (*--> correct CalcHead*);
|
neuper@37906
|
663 |
(*081016 NOT necessary (but leave it in Java):*)
|
wneuper@59248
|
664 |
(*6>*)(*completeCalcHead*)autoCalculate 1 CompleteCalcHead;
|
neuper@37906
|
665 |
"----- here the CalcHead has been completed --- ONCE MORE ?????";
|
neuper@37906
|
666 |
|
neuper@37906
|
667 |
(***difference II***)
|
neuper@37906
|
668 |
val ((pt,p),_) = get_calc 1;
|
neuper@37906
|
669 |
(*val p = ([], Pbl)*)
|
walther@59921
|
670 |
val PblObj {probl, meth, spec, fmz, loc, ...} = get_obj I pt [];
|
neuper@37926
|
671 |
val (SOME istate, NONE) = loc;
|
walther@59844
|
672 |
(*default_print_depth 5;*) writeln (Istate.string_of (fst istate)); (*default_print_depth 3;*)
|
wneuper@59583
|
673 |
(*Pstate ([],
|
neuper@37926
|
674 |
[], NONE,
|
neuper@37906
|
675 |
??.empty, Sundef, false)*)
|
wneuper@59348
|
676 |
(*default_print_depth 5;*) spec; (*default_print_depth 3;*)
|
wneuper@59592
|
677 |
(*("Isac_Knowledge",
|
neuper@37906
|
678 |
["derivative_of", "function"],
|
neuper@37906
|
679 |
["diff", "differentiate_on_R"]) : spec*)
|
walther@59942
|
680 |
writeln (I_Model.to_string ctxt probl);
|
neuper@37906
|
681 |
(*[
|
walther@60242
|
682 |
(1 ,[1] ,true ,#Given ,Cor functionTerm (x \<up> 2 + x + 1) ,(f_, [x \<up> 2 + x + 1])),
|
neuper@37906
|
683 |
(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
|
akargl@42176
|
684 |
(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
|
walther@59942
|
685 |
writeln (I_Model.to_string ctxt meth);
|
neuper@37906
|
686 |
(*[
|
walther@60242
|
687 |
(1 ,[1] ,true ,#Given ,Cor functionTerm (x \<up> 2 + x + 1) ,(f_, [x \<up> 2 + x + 1])),
|
neuper@37906
|
688 |
(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
|
akargl@42176
|
689 |
(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
|
neuper@37906
|
690 |
writeln"-----------------------------------------------------------";
|
neuper@37906
|
691 |
(*7>*)fetchProposedTactic 1 (*--> Apply_Method*);
|
neuper@37906
|
692 |
(*WN081028 fixed <ERROR> helpless </ERROR> by inform returning ...(.,Met)*)
|
wneuper@59248
|
693 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
694 |
val ((pt,p),_) = get_calc 1;
|
walther@59983
|
695 |
val Form res = (#1 o ME_Misc.pt_extract) (pt, ([],Res));
|
walther@59983
|
696 |
Test_Tool.show_pt pt;
|
walther@60242
|
697 |
|
walther@59868
|
698 |
if p = ([], Res) andalso UnparseC.term res = "1 + 2 * x" then ()
|
walther@60242
|
699 |
else error "diff.sml behav.changed for Diff (x \<up> 2 + x + 1, x)";
|
wneuper@59252
|
700 |
DEconstrCalcTree 1;
|
neuper@37906
|
701 |
|
neuper@37906
|
702 |
"--------- Take as 1st tac, start from exp -----------------------";
|
neuper@37906
|
703 |
"--------- Take as 1st tac, start from exp -----------------------";
|
neuper@37906
|
704 |
"--------- Take as 1st tac, start from exp -----------------------";
|
neuper@37906
|
705 |
(*the following input is copied from BridgeLog Java <==> SML,
|
neuper@37906
|
706 |
omitting unnecessary inputs*)
|
s1210629013@55445
|
707 |
(*1>*)reset_states ();
|
walther@60242
|
708 |
(*2>*)CalcTree [(["functionTerm (x \<up> 2 + x + 1)", "differentiateFor x", "derivative f_'_f"],("Isac_Knowledge",["derivative_of", "function"],["diff", "differentiate_on_R"]))];
|
neuper@37906
|
709 |
(*3>*)Iterator 1; moveActiveRoot 1;
|
neuper@37906
|
710 |
|
wneuper@59248
|
711 |
(*6>*)(*completeCalcHead*)autoCalculate 1 CompleteCalcHead;
|
neuper@37906
|
712 |
(***difference II***)
|
neuper@37906
|
713 |
val ((pt,_),_) = get_calc 1;
|
walther@59921
|
714 |
val PblObj {probl, meth, spec, fmz, loc, ...} = get_obj I pt [];
|
neuper@37926
|
715 |
val (SOME istate, NONE) = loc;
|
walther@59844
|
716 |
(*default_print_depth 5;*) writeln (Istate.string_of (fst istate)); (*default_print_depth 3;*)
|
wneuper@59583
|
717 |
(*Pstate ([],
|
neuper@37926
|
718 |
[], NONE,
|
neuper@37906
|
719 |
??.empty, Sundef, false)*)
|
wneuper@59348
|
720 |
(*default_print_depth 5;*) spec; (*default_print_depth 3;*)
|
wneuper@59592
|
721 |
(*("Isac_Knowledge",
|
neuper@37906
|
722 |
["derivative_of", "function"],
|
neuper@37906
|
723 |
["diff", "differentiate_on_R"]) : spec*)
|
walther@59942
|
724 |
writeln (I_Model.to_string ctxt probl);
|
neuper@37906
|
725 |
(*[
|
walther@60242
|
726 |
(1 ,[1] ,true ,#Given ,Cor functionTerm (x \<up> 2 + x + 1) ,(f_, [x \<up> 2 + x + 1])),
|
neuper@37906
|
727 |
(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
|
akargl@42176
|
728 |
(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
|
walther@59942
|
729 |
writeln (I_Model.to_string ctxt meth);
|
neuper@37906
|
730 |
(*[
|
walther@60242
|
731 |
(1 ,[1] ,true ,#Given ,Cor functionTerm (x \<up> 2 + x + 1) ,(f_, [x \<up> 2 + x + 1])),
|
neuper@37906
|
732 |
(2 ,[1] ,true ,#Given ,Cor differentiateFor x ,(v_, [x])),
|
akargl@42176
|
733 |
(3 ,[1] ,true ,#Find ,Cor derivative f_'_f ,(f_'_f, [f_'_f]))]*)
|
neuper@37906
|
734 |
writeln"-----------------------------------------------------------";
|
neuper@37906
|
735 |
(*7>*)fetchProposedTactic 1 (*--> Apply_Method*);
|
walther@59747
|
736 |
autoCalculate 1 (Steps 1);
|
neuper@37906
|
737 |
val ((pt,p),_) = get_calc 1;
|
walther@59983
|
738 |
val Form res = (#1 o ME_Misc.pt_extract) (pt, p);
|
walther@60242
|
739 |
if UnparseC.term res = "d_d x (x \<up> 2 + x + 1)" then ()
|
walther@60242
|
740 |
else error "diff.sml Diff (x \<up> 2 + x + 1, x) from exp";
|
wneuper@59252
|
741 |
DEconstrCalcTree 1;
|
neuper@37906
|
742 |
|
walther@59845
|
743 |
"--------- implicit_take, start with <NEW> (CAS input) ---------------";
|
walther@59845
|
744 |
"--------- implicit_take, start with <NEW> (CAS input) ---------------";
|
walther@59845
|
745 |
"--------- implicit_take, start with <NEW> (CAS input) ---------------";
|
s1210629013@55445
|
746 |
reset_states ();
|
walther@59903
|
747 |
CalcTree [([], ("empty_thy_id", ["empty_probl_id"], ["empty_meth_id"]))];
|
neuper@37906
|
748 |
(*[[from sml: > @@@@@begin@@@@@
|
neuper@37906
|
749 |
[[from sml: 1
|
neuper@37906
|
750 |
[[from sml: <CALCTREE>
|
neuper@37906
|
751 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
752 |
[[from sml: </CALCTREE>
|
neuper@37906
|
753 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
754 |
Iterator 1;
|
neuper@37906
|
755 |
(*[[from sml: > @@@@@begin@@@@@
|
neuper@37906
|
756 |
[[from sml: 1
|
neuper@37906
|
757 |
[[from sml: <ADDUSER>
|
neuper@37906
|
758 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
759 |
[[from sml: <USERID> 1 </USERID>
|
neuper@37906
|
760 |
[[from sml: </ADDUSER>
|
neuper@37906
|
761 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
762 |
moveActiveRoot 1;
|
neuper@37906
|
763 |
(*[[from sml: > @@@@@begin@@@@@
|
neuper@37906
|
764 |
[[from sml: 1
|
neuper@37906
|
765 |
[[from sml: <CALCITERATOR>
|
neuper@37906
|
766 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
767 |
[[from sml: <POSITION>
|
neuper@37906
|
768 |
[[from sml: <INTLIST>
|
neuper@37906
|
769 |
[[from sml: </INTLIST>
|
neuper@37906
|
770 |
[[from sml: <POS> Pbl </POS>
|
neuper@37906
|
771 |
[[from sml: </POSITION>
|
neuper@37906
|
772 |
[[from sml: </CALCITERATOR>
|
neuper@37906
|
773 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
774 |
getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false;
|
neuper@37906
|
775 |
(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
|
neuper@37906
|
776 |
[[from sml: 1
|
neuper@37906
|
777 |
[[from sml: <GETELEMENTSFROMTO>
|
neuper@37906
|
778 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
779 |
[[from sml: <FORMHEADS>
|
neuper@37906
|
780 |
[[from sml: <CALCFORMULA>
|
neuper@37906
|
781 |
[[from sml: <POSITION>
|
neuper@37906
|
782 |
[[from sml: <INTLIST>
|
neuper@37906
|
783 |
[[from sml: </INTLIST>
|
neuper@37906
|
784 |
[[from sml: <POS> Pbl </POS>
|
neuper@37906
|
785 |
[[from sml: </POSITION>
|
neuper@37906
|
786 |
[[from sml: <FORMULA>
|
neuper@37906
|
787 |
[[from sml: <MATHML>
|
neuper@37906
|
788 |
[[from sml: <ISA> ________________________________________________ </ISA>
|
neuper@37906
|
789 |
[[from sml: </MATHML>
|
neuper@37906
|
790 |
[[from sml:
|
neuper@37906
|
791 |
[[from sml: </FORMULA>
|
neuper@37906
|
792 |
[[from sml: </CALCFORMULA>
|
neuper@37906
|
793 |
[[from sml: </FORMHEADS>
|
neuper@37906
|
794 |
[[from sml: </GETELEMENTSFROMTO>
|
neuper@37906
|
795 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
796 |
refFormula 1 ([],Pbl);
|
neuper@37906
|
797 |
(*[[from sml: > @@@@@begin@@@@@ STILL CORRECT
|
neuper@37906
|
798 |
[[from sml: 1
|
neuper@37906
|
799 |
[[from sml: <REFFORMULA>
|
neuper@37906
|
800 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
801 |
[[from sml: <CALCHEAD status = "incorrect">
|
neuper@37906
|
802 |
[[from sml: <POSITION>
|
neuper@37906
|
803 |
[[from sml: <INTLIST>
|
neuper@37906
|
804 |
[[from sml: </INTLIST>
|
neuper@37906
|
805 |
[[from sml: <POS> Pbl </POS>
|
neuper@37906
|
806 |
[[from sml: </POSITION>
|
neuper@37906
|
807 |
[[from sml: <HEAD>
|
neuper@37906
|
808 |
[[from sml: <MATHML>
|
walther@59879
|
809 |
[[from sml: <ISA> Problem (ThyC.id_empty, [e_pblID]) </ISA>
|
neuper@37906
|
810 |
[[from sml: </MATHML>
|
neuper@37906
|
811 |
[[from sml: </HEAD>
|
neuper@37906
|
812 |
[[from sml: <MODEL>
|
neuper@37906
|
813 |
[[from sml: <GIVEN> </GIVEN>
|
neuper@37906
|
814 |
[[from sml: <WHERE> </WHERE>
|
neuper@37906
|
815 |
[[from sml: <FIND> </FIND>
|
neuper@37906
|
816 |
[[from sml: <RELATE> </RELATE>
|
neuper@37906
|
817 |
[[from sml: </MODEL>
|
neuper@37906
|
818 |
[[from sml: <BELONGSTO> Pbl </BELONGSTO>
|
neuper@37906
|
819 |
[[from sml: <SPECIFICATION>
|
walther@59879
|
820 |
[[from sml: <THEORYID> ThyC.id_empty </THEORYID>
|
neuper@37906
|
821 |
[[from sml: <PROBLEMID>
|
neuper@37906
|
822 |
[[from sml: <STRINGLIST>
|
walther@59903
|
823 |
[[from sml: <STRING> Problem.id_empty </STRING>
|
neuper@37906
|
824 |
[[from sml: </STRINGLIST>
|
neuper@37906
|
825 |
[[from sml: </PROBLEMID>
|
neuper@37906
|
826 |
[[from sml: <METHODID>
|
neuper@37906
|
827 |
[[from sml: <STRINGLIST>
|
neuper@37906
|
828 |
[[from sml: <STRING> e_metID </STRING>
|
neuper@37906
|
829 |
[[from sml: </STRINGLIST>
|
neuper@37906
|
830 |
[[from sml: </METHODID>
|
neuper@37906
|
831 |
[[from sml: </SPECIFICATION>
|
neuper@37906
|
832 |
[[from sml: </CALCHEAD>
|
neuper@37906
|
833 |
[[from sml: </REFFORMULA>
|
neuper@37906
|
834 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
835 |
moveActiveFormula 1 ([],Pbl);
|
neuper@37906
|
836 |
(*[[from sml: > @@@@@begin@@@@@
|
neuper@37906
|
837 |
[[from sml: 1
|
neuper@37906
|
838 |
[[from sml: <CALCITERATOR>
|
neuper@37906
|
839 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
840 |
[[from sml: <POSITION>
|
neuper@37906
|
841 |
[[from sml: <INTLIST>
|
neuper@37906
|
842 |
[[from sml: </INTLIST>
|
neuper@37906
|
843 |
[[from sml: <POS> Pbl </POS>
|
neuper@37906
|
844 |
[[from sml: </POSITION>
|
neuper@37906
|
845 |
[[from sml: </CALCITERATOR>
|
neuper@37906
|
846 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
847 |
replaceFormula 1 "Simplify (1+2)";
|
neuper@37906
|
848 |
(*[[from sml: > @@@@@begin@@@@@
|
neuper@37906
|
849 |
[[from sml: 1
|
neuper@37906
|
850 |
[[from sml: <REPLACEFORMULA>
|
neuper@37906
|
851 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
852 |
[[from sml: <CALCCHANGED>
|
neuper@37906
|
853 |
[[from sml: <UNCHANGED>
|
neuper@37906
|
854 |
[[from sml: <INTLIST>
|
neuper@37906
|
855 |
[[from sml: </INTLIST>
|
neuper@37906
|
856 |
[[from sml: <POS> Pbl </POS>
|
neuper@37906
|
857 |
[[from sml: </UNCHANGED>
|
neuper@37906
|
858 |
[[from sml: <DELETED>
|
neuper@37906
|
859 |
[[from sml: <INTLIST>
|
neuper@37906
|
860 |
[[from sml: </INTLIST>
|
neuper@37906
|
861 |
[[from sml: <POS> Pbl </POS>
|
neuper@37906
|
862 |
[[from sml: </DELETED>
|
neuper@37906
|
863 |
[[from sml: <GENERATED>
|
neuper@37906
|
864 |
[[from sml: <INTLIST>
|
neuper@37906
|
865 |
[[from sml: </INTLIST>
|
neuper@37906
|
866 |
[[from sml: <POS> Met </POS> DIFFERENCE: Pbl
|
neuper@37906
|
867 |
[[from sml: </GENERATED>
|
neuper@37906
|
868 |
[[from sml: </CALCCHANGED>
|
neuper@37906
|
869 |
[[from sml: </REPLACEFORMULA>
|
neuper@37906
|
870 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
871 |
getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 0 false(* DIFFERENCE: Pbl*);
|
neuper@37906
|
872 |
(*@@@@@begin@@@@@
|
neuper@37906
|
873 |
1
|
neuper@37906
|
874 |
<GETELEMENTSFROMTO>
|
neuper@37906
|
875 |
<CALCID> 1 </CALCID>
|
neuper@37906
|
876 |
<FORMHEADS>
|
neuper@37906
|
877 |
<CALCFORMULA>
|
neuper@37906
|
878 |
<POSITION>
|
neuper@37906
|
879 |
<INTLIST>
|
neuper@37906
|
880 |
</INTLIST>
|
neuper@37906
|
881 |
<POS> Pbl </POS>
|
neuper@37906
|
882 |
</POSITION>
|
neuper@37906
|
883 |
<FORMULA>
|
neuper@37906
|
884 |
<MATHML>
|
neuper@37906
|
885 |
<ISA> Simplify (1 + 2) </ISA> WORKS !!!!!
|
neuper@37906
|
886 |
</MATHML>
|
neuper@37906
|
887 |
</FORMULA>
|
neuper@37906
|
888 |
</CALCFORMULA>
|
neuper@37906
|
889 |
</FORMHEADS>
|
neuper@37906
|
890 |
</GETELEMENTSFROMTO>
|
neuper@37906
|
891 |
@@@@@end@@@@@*)
|
neuper@37906
|
892 |
getFormulaeFromTo 1 ([],Pbl) ([],Met) 0 false;
|
neuper@37906
|
893 |
(*[[from sml: > @@@@@begin@@@@@
|
neuper@37906
|
894 |
[[from sml: 1
|
neuper@37906
|
895 |
[[from sml: <SYSERROR>
|
neuper@37906
|
896 |
[[from sml: <CALCID> 1 </CALCID>
|
neuper@37906
|
897 |
[[from sml: <ERROR> error in getFormulaeFromTo </ERROR>
|
neuper@37906
|
898 |
[[from sml: </SYSERROR>
|
neuper@37906
|
899 |
[[from sml: @@@@@end@@@@@*)
|
neuper@37906
|
900 |
(*step into getFormulaeFromTo --- bug corrected...*)
|
neuper@42423
|
901 |
|
walther@59909
|
902 |
"--------- build fun check_for' ------------------------------";
|
walther@59909
|
903 |
"--------- build fun check_for' ------------------------------";
|
walther@59909
|
904 |
"--------- build fun check_for' ------------------------------";
|
walther@60230
|
905 |
val subst = [(TermC.str2term "bdv", TermC.str2term "x")]: subst;
|
neuper@42423
|
906 |
val rls = norm_Rational
|
walther@60230
|
907 |
val pat = TermC.parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
|
walther@60230
|
908 |
val (res, inf) = (TermC.str2term "(2 + 3)/(3 + 4)", TermC.str2term "2 / 4");
|
walther@60230
|
909 |
val (res, inf) = (TermC.str2term "(2 + 3)/(3 + 4)", TermC.str2term "1 / 2");
|
neuper@42423
|
910 |
|
walther@60230
|
911 |
val (res', _, _, rewritten) = (*rewritten: the lhs of the pattern TermC.matches in res*)
|
walther@59852
|
912 |
rew_sub thy 1 [] e_rew_ord Rule_Set.empty false [] (HOLogic.Trueprop $ pat) res;
|
neuper@42423
|
913 |
if rewritten then NONE else SOME "e_errpatID";
|
neuper@42423
|
914 |
|
neuper@42423
|
915 |
val norm_res = case rewrite_set_ (Isac()) false rls res' of
|
neuper@42423
|
916 |
NONE => res'
|
neuper@42423
|
917 |
| SOME (norm_res, _) => norm_res
|
neuper@42423
|
918 |
|
neuper@42423
|
919 |
val norm_inf = case rewrite_set_ (Isac()) false rls inf of
|
neuper@42423
|
920 |
NONE => inf
|
neuper@42423
|
921 |
| SOME (norm_inf, _) => norm_inf;
|
neuper@42423
|
922 |
|
neuper@42423
|
923 |
res' = inf;
|
neuper@42423
|
924 |
norm_res = norm_inf;
|
neuper@42423
|
925 |
|
walther@60230
|
926 |
val pat = TermC.parse_patt @{theory} "(?a + ?b)/?a = ?b";
|
walther@60230
|
927 |
val (res, inf) = (TermC.str2term "(2 + 3)/2", TermC.str2term "3");
|
walther@59909
|
928 |
if check_for' (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
|
neuper@42423
|
929 |
then () else error "error patt example1 changed";
|
neuper@42423
|
930 |
|
walther@60230
|
931 |
val pat = TermC.parse_patt @{theory} "(?a + ?b)/(?a + ?c) = ?b / ?c";
|
walther@60230
|
932 |
val (res, inf) = (TermC.str2term "(2 + 3)/(2 + 4)", TermC.str2term "3 / 4");
|
walther@59909
|
933 |
if check_for' (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
|
neuper@42423
|
934 |
then () else error "error patt example2 changed";
|
neuper@42423
|
935 |
|
walther@60230
|
936 |
val pat = TermC.parse_patt @{theory} "(?a + ?b)/(?b + ?c) = ?a / ?c";
|
walther@60230
|
937 |
val (res, inf) = (TermC.str2term "(2 + 3)/(3 + 4)", TermC.str2term "2 / 4");
|
walther@59909
|
938 |
if check_for' (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
|
neuper@42423
|
939 |
then () else error "error patt example3 changed";
|
neuper@42423
|
940 |
|
walther@60230
|
941 |
val inf = TermC.str2term "1 / 2";
|
walther@59909
|
942 |
if check_for' (res, inf) subst ("errpatID", pat) rls = SOME "errpatID"
|
neuper@42423
|
943 |
then () else error "error patt example3 changed";
|
neuper@42423
|
944 |
|
walther@59909
|
945 |
"--------- build fun check_for' ?bdv -------------------------";
|
walther@59909
|
946 |
"--------- build fun check_for' ?bdv -------------------------";
|
walther@59909
|
947 |
"--------- build fun check_for' ?bdv -------------------------";
|
walther@60230
|
948 |
val subst = [(TermC.str2term "bdv", TermC.str2term "x")]: subst;
|
walther@60242
|
949 |
val t = TermC.str2term "d_d x (x \<up> 2 + sin (x \<up> 4))";
|
neuper@42426
|
950 |
val SOME (t, _) = rewrite_set_inst_ thy false subst norm_diff t;
|
walther@60242
|
951 |
if UnparseC.term t = "2 * x + cos (x \<up> 4) * 4 * x \<up> 3" then ()
|
walther@59909
|
952 |
else error "build fun check_for' ?bdv changed 1";
|
neuper@42423
|
953 |
|
neuper@42426
|
954 |
val rls = norm_diff
|
walther@60230
|
955 |
val pat = TermC.parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)";
|
walther@60242
|
956 |
val (res, inf) = (TermC.str2term "2 * x + d_d x (sin (x \<up> 4))", TermC.str2term "2 * x + cos (4 * x \<up> 3)");
|
neuper@42426
|
957 |
|
walther@60230
|
958 |
val (res', _, _, rewritten) = (*rewritten: the lhs of the pattern TermC.matches in res*)
|
walther@59852
|
959 |
rew_sub thy 1 subst e_rew_ord Rule_Set.empty false [] (HOLogic.Trueprop $ pat) res;
|
walther@60242
|
960 |
if UnparseC.term res' = "2 * x + cos (d_d x (x \<up> 4))" andalso rewritten then ()
|
walther@59909
|
961 |
else error "build fun check_for' ?bdv changed 2";
|
neuper@42426
|
962 |
|
neuper@42426
|
963 |
val norm_res = case rewrite_set_inst_ (Isac()) false subst rls res' of
|
neuper@42426
|
964 |
NONE => res'
|
neuper@42426
|
965 |
| SOME (norm_res, _) => norm_res;
|
walther@60242
|
966 |
if UnparseC.term norm_res = "2 * x + cos (4 * x \<up> 3)" then ()
|
walther@59909
|
967 |
else error "build fun check_for' ?bdv changed 3";
|
neuper@42426
|
968 |
|
neuper@42426
|
969 |
val norm_inf = case rewrite_set_inst_ (Isac()) false subst rls inf of
|
neuper@42426
|
970 |
NONE => inf
|
neuper@42426
|
971 |
| SOME (norm_inf, _) => norm_inf;
|
walther@60242
|
972 |
if UnparseC.term norm_inf = "2 * x + cos (4 * x \<up> 3)" then ()
|
walther@59909
|
973 |
else error "build fun check_for' ?bdv changed 4";
|
neuper@42426
|
974 |
|
neuper@42426
|
975 |
res' = inf;
|
neuper@42426
|
976 |
if norm_res = norm_inf then ()
|
walther@59909
|
977 |
else error "build fun check_for' ?bdv changed 5";
|
neuper@42426
|
978 |
|
walther@59921
|
979 |
if Error_Pattern.check_for' (res, inf) (subst: subst) ("errpatID": Error_Pattern.id, pat) rls = SOME "errpatID"
|
neuper@42426
|
980 |
then () else error "error patt example1 changed";
|
neuper@42426
|
981 |
|
walther@59909
|
982 |
"--------- build fun check_for ------------------------";
|
walther@59909
|
983 |
"--------- build fun check_for ------------------------";
|
walther@59909
|
984 |
"--------- build fun check_for ------------------------";
|
neuper@42428
|
985 |
val (res, inf) =
|
walther@60242
|
986 |
(TermC.str2term "d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))",
|
walther@60242
|
987 |
TermC.str2term "d_d x (x \<up> 2) + cos (4 * x \<up> 3)");
|
walther@60154
|
988 |
val {errpats, nrls = rls, scr = Prog prog, ...} = MethodC.from_store ["diff", "differentiate_on_R"]
|
neuper@42426
|
989 |
|
walther@60230
|
990 |
val env = [(TermC.str2term "v_v", TermC.str2term "x")];
|
neuper@42428
|
991 |
val errpats =
|
walther@59971
|
992 |
[Error_Pattern.empty, (*generalised for testing*)
|
neuper@42428
|
993 |
("chain-rule-diff-both",
|
walther@60230
|
994 |
[TermC.parse_patt @{theory} "d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)",
|
walther@60230
|
995 |
TermC.parse_patt @{theory} "d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)",
|
walther@60242
|
996 |
TermC.parse_patt @{theory} "d_d ?bdv (?u \<up> ?n) = ?n * ?u \<up> (?n - 1)",
|
walther@60230
|
997 |
TermC.parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / ?u",
|
walther@60230
|
998 |
TermC.parse_patt @{theory} "d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u"],
|
neuper@42428
|
999 |
[@{thm diff_sin_chain}, @{thm diff_cos_chain}, @{thm diff_pow_chain},
|
walther@59921
|
1000 |
@{thm diff_ln_chain}, @{thm diff_exp_chain}])];
|
walther@59844
|
1001 |
case Error_Pattern.check_for (res, inf) (prog, env) (errpats, rls) of SOME _ => ()
|
walther@59844
|
1002 |
| NONE => error "Error_Pattern.check_for broken";
|
wneuper@59252
|
1003 |
DEconstrCalcTree 1;
|
neuper@42428
|
1004 |
|
walther@59909
|
1005 |
"--------- embed fun check_for ------------------------";
|
walther@59909
|
1006 |
"--------- embed fun check_for ------------------------";
|
walther@59909
|
1007 |
"--------- embed fun check_for ------------------------";
|
wneuper@59562
|
1008 |
reset_states ();
|
neuper@42428
|
1009 |
CalcTree
|
walther@60242
|
1010 |
[(["functionTerm (x \<up> 2 + sin (x \<up> 4))", "differentiateFor x", "derivative f_f'"],
|
walther@59997
|
1011 |
("Isac_Knowledge", ["derivative_of", "function"], ["diff", "differentiate_on_R"]))];
|
neuper@42428
|
1012 |
Iterator 1;
|
neuper@42428
|
1013 |
moveActiveRoot 1;
|
wneuper@59248
|
1014 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
1015 |
autoCalculate 1 (Steps 1);
|
walther@60242
|
1016 |
autoCalculate 1 (Steps 1);(*([1], Res), d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))*)
|
walther@60242
|
1017 |
(*autoCalculate 1 (Steps 1);([2], Res), d_d x (x \<up> 2) + cos (x \<up> 4) * d_d x (x \<up> \<up> 4)*)
|
neuper@42428
|
1018 |
|
walther@60242
|
1019 |
"~~~~~ fun appendFormula , args:"; val (cI, (ifo:TermC.as_string)) = (1, "d_d x (x \<up> 2) + cos (4 * x \<up> 3)");
|
walther@59868
|
1020 |
"~~~~~ fun appendFormula' , args:"; val (cI, (ifo: TermC.as_string)) = (cI, ifo);
|
wneuper@59562
|
1021 |
val cs = get_calc cI
|
wneuper@59562
|
1022 |
val pos = get_pos cI 1;
|
walther@59844
|
1023 |
(*+*)if pos = ([1], Res) then () else error "inform with (positive) Error_Pattern.check_for broken 1";
|
walther@59798
|
1024 |
val ("ok", cs' as (_, _, ptp)) = (*case*) Step.do_next pos cs (*of*);
|
walther@59798
|
1025 |
(*case*) Step_Solve.by_term ptp (encode ifo) (*of*); (*ERROR WAS: "no derivation found"*)
|
walther@59981
|
1026 |
"~~~~~ fun Step_Solve.by_term , args:"; val (((*next_*)cs as (_, _, (pt, pos as (p, _))): Calc.state_post), istr)
|
wneuper@59562
|
1027 |
= (cs', (encode ifo));
|
wneuper@59562
|
1028 |
val ctxt = get_ctxt pt pos (*see TODO.thy*)
|
walther@60340
|
1029 |
val SOME f_in = (*case*) TermC.parse (ThyC.get_theory "Isac_Knowledge") istr (*of*);
|
walther@60340
|
1030 |
val f_in = Thm.term_of f_in
|
wneuper@59562
|
1031 |
val pos_pred = lev_back' pos
|
wneuper@59562
|
1032 |
val f_pred = Ctree.get_curr_formula (pt, pos_pred);
|
wneuper@59562
|
1033 |
(*if*) f_pred = f_in; (*else*)
|
walther@59982
|
1034 |
val NONE = (*case*) CAS_Cmd.input f_in (*of*);
|
walther@59795
|
1035 |
(*old* )val (_, _, metID) = get_obj g_spec pt (par_pblobj pt p)
|
walther@60154
|
1036 |
(*old*)val {scr = prog, ...} = MethodC.from_store metID
|
walther@59807
|
1037 |
(*old*)val istate = get_istate_LI pt pos
|
walther@59795
|
1038 |
(*old*)val ctxt = get_ctxt pt pos
|
walther@59795
|
1039 |
( *old*)
|
walther@59795
|
1040 |
val LI.Not_Derivable =
|
walther@59795
|
1041 |
(*case*) LI.locate_input_term (pt, pos) f_in (*of*);
|
wneuper@59562
|
1042 |
val pp = Ctree.par_pblobj pt p
|
walther@60154
|
1043 |
val (errpats, nrls, prog) = case MethodC.from_store (Ctree.get_obj Ctree.g_metID pt pp) of
|
wneuper@59562
|
1044 |
{errpats, nrls, scr = Rule.Prog prog, ...} => (errpats, nrls, prog)
|
walther@60154
|
1045 |
| _ => error "inform: uncovered case of MethodC.from_store"
|
wneuper@59562
|
1046 |
;
|
walther@60278
|
1047 |
(*+*)if Error_Pattern.s_to_string errpats = "[(\"chain-rule-diff-both\",\n[\"d_d ?bdv (sin ?u) = cos (d_d ?bdv ?u)\", \"d_d ?bdv (cos ?u) = - sin (d_d ?bdv ?u)\", \"d_d ?bdv (?u \<up> ?n) = ?n * ?u \<up> (?n - 1)\", \"d_d ?bdv (LogExp.ln ?u) = 1 / ?u\", \"d_d ?bdv (LogExp.ln ?u) = 1 / d_d ?bdv ?u\"],\n[\"d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u\", \"d_d ?bdv (cos ?u) = - sin ?u * d_d ?bdv ?u\", \"d_d ?bdv (?u \<up> ?n) = ?n * ?u \<up> (?n - 1) * d_d ?bdv ?u\", \"d_d ?bdv (LogExp.ln ?u) = d_d ?bdv ?u / ?u\", \"d_d ?bdv (exp ?u) = exp ?u * d_d ?x ?u\"]]"
|
walther@59844
|
1048 |
(*+*)then () else error "inform with (positive) Error_Pattern.check_for broken 3";
|
neuper@42428
|
1049 |
|
walther@59807
|
1050 |
val {env, ...} = Ctree.get_istate_LI pt pos |> Istate.the_pstate
|
wneuper@59562
|
1051 |
;
|
walther@60242
|
1052 |
(*+*)if UnparseC.term f_pred = "d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" andalso
|
walther@60242
|
1053 |
(*+*) UnparseC.term f_in = "d_d x (x \<up> 2) + cos (4 * x \<up> 3)"
|
walther@59844
|
1054 |
(*+*)then () else error "inform with (positive) Error_Pattern.check_for broken 2";
|
neuper@42428
|
1055 |
|
walther@59909
|
1056 |
val SOME "chain-rule-diff-both" = (*case*) Error_Pattern.check_for (f_pred, f_in) (prog, env) (errpats, nrls) (*of*);
|
neuper@42428
|
1057 |
|
neuper@42428
|
1058 |
"--- final check:";
|
walther@59798
|
1059 |
(*+*)val (_, _, ptp') = cs';
|
walther@59798
|
1060 |
case Step_Solve.by_term ptp' (encode ifo) of
|
neuper@42428
|
1061 |
("error pattern #chain-rule-diff-both#", calcstate') => ()
|
walther@59844
|
1062 |
| _ => error "inform with (positive) Error_Pattern.check_for broken"
|
neuper@42428
|
1063 |
|
neuper@48895
|
1064 |
|
walther@59909
|
1065 |
"--------- embed fun find_fill_patterns ---------------------------";
|
walther@59909
|
1066 |
"--------- embed fun find_fill_patterns ---------------------------";
|
walther@59909
|
1067 |
"--------- embed fun find_fill_patterns ---------------------------";
|
s1210629013@55445
|
1068 |
reset_states ();
|
neuper@42430
|
1069 |
CalcTree
|
walther@60242
|
1070 |
[(["functionTerm (x \<up> 2 + sin (x \<up> 4))", "differentiateFor x", "derivative f_f'"],
|
walther@59997
|
1071 |
("Isac_Knowledge", ["derivative_of", "function"], ["diff", "differentiate_on_R"]))];
|
neuper@42430
|
1072 |
Iterator 1;
|
neuper@42430
|
1073 |
moveActiveRoot 1;
|
wneuper@59248
|
1074 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
1075 |
autoCalculate 1 (Steps 1);
|
walther@60242
|
1076 |
autoCalculate 1 (Steps 1);(*([1], Res), d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))*)
|
walther@60242
|
1077 |
appendFormula 1 "d_d x (x \<up> 2) + cos (4 * x \<up> 3)" (*|> Future.join*);
|
neuper@42430
|
1078 |
(*<CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>*)
|
neuper@42432
|
1079 |
(*or
|
neuper@42432
|
1080 |
<CALCMESSAGE> no derivation found </CALCMESSAGE>*)
|
neuper@42430
|
1081 |
|
neuper@42433
|
1082 |
"~~~~~ fun findFillpatterns, args:"; val (cI, errpatID) = (1, "chain-rule-diff-both");
|
neuper@42430
|
1083 |
val ((pt, _), _) = get_calc cI
|
neuper@42430
|
1084 |
val pos = get_pos cI 1;
|
walther@59909
|
1085 |
"~~~~~ fun find_fill_patterns , args:"; val ((pt, pos as (p, _)), errpatID) = ((pt, pos), errpatID);
|
walther@59685
|
1086 |
val f_curr = Ctree.get_curr_formula (pt, pos);
|
walther@59685
|
1087 |
val pp = Ctree.par_pblobj pt p
|
walther@60154
|
1088 |
val (errpats, prog) = case MethodC.from_store (Ctree.get_obj Ctree.g_metID pt pp) of
|
walther@59685
|
1089 |
{errpats, scr = Rule.Prog prog, ...} => (errpats, prog)
|
walther@60154
|
1090 |
| _ => error "find_fill_patterns: uncovered case of MethodC.from_store"
|
walther@59807
|
1091 |
val {env, ...} = Ctree.get_istate_LI pt pos |> Istate.the_pstate
|
walther@59911
|
1092 |
val subst = Subst.for_bdv prog env
|
neuper@42430
|
1093 |
val errpatthms = errpats
|
walther@59921
|
1094 |
|> filter ((curry op = errpatID) o (#1: Error_Pattern.T -> Error_Pattern.id))
|
walther@59921
|
1095 |
|> map (#3: Error_Pattern.T -> thm list)
|
neuper@42430
|
1096 |
|> flat;
|
neuper@42430
|
1097 |
|
walther@59909
|
1098 |
case map (Error_Pattern.fill_from_store subst f_curr errpatID) errpatthms |> flat of
|
walther@59868
|
1099 |
("fill-d_d-arg", tm, thm, subs_opt) :: _ => if UnparseC.term tm =
|
walther@60242
|
1100 |
"d_d x (x \<up> 2) + d_d x (sin (x \<up> 4)) =\nd_d x (x \<up> 2) + cos (x \<up> 4) * d_d x ?_dummy_1"
|
walther@59909
|
1101 |
then () else error "find_fill_patterns changed 1a"
|
walther@59909
|
1102 |
| _ => error "find_fill_patterns changed 1b"
|
neuper@42430
|
1103 |
|
walther@59909
|
1104 |
"~~~~~ fun fill_from_store, args:"; val (subst, form, errpatID, thm) =
|
neuper@42432
|
1105 |
(subst, f_curr, errpatID, hd (*simulate beginning of "map"*) errpatthms);
|
neuper@42430
|
1106 |
val thmDeriv = Thm.get_name_hint thm
|
walther@59921
|
1107 |
val (part, thyID) = Thy_Read.thy_containing_thm thmDeriv
|
walther@59876
|
1108 |
val theID = [part, thyID, "Theorems", ThmC.cut_id thmDeriv]
|
walther@59970
|
1109 |
val Thy_Write.Hthm {fillpats, ...} = Thy_Read.from_store theID
|
walther@59909
|
1110 |
val some = map (Error_Pattern.fill_form subst (thm, form) errpatID) fillpats;
|
neuper@42430
|
1111 |
|
neuper@42430
|
1112 |
case some |> filter is_some |> map the of
|
walther@59868
|
1113 |
("fill-d_d-arg", tm, thm, subsopt) :: _ => if UnparseC.term tm =
|
walther@60242
|
1114 |
"d_d x (x \<up> 2) + d_d x (sin (x \<up> 4)) =\nd_d x (x \<up> 2) + cos (x \<up> 4) * d_d x ?_dummy_1"
|
walther@59909
|
1115 |
then () else error "find_fill_patterns changed 2a"
|
walther@59909
|
1116 |
| _ => error "find_fill_patterns changed 2b"
|
neuper@42430
|
1117 |
|
walther@59909
|
1118 |
"~~~~~ fun fill_form, args:";
|
neuper@42433
|
1119 |
val ((subs_opt, subst), (thm, form), errpatID, (fillpatID, pat, erpaID)) =
|
neuper@42433
|
1120 |
(subst, (thm, form), errpatID, hd (*simulate beginning of "map"*) fillpats);
|
neuper@42433
|
1121 |
val (form', _, _, rewritten) =
|
walther@59852
|
1122 |
rew_sub (Isac()) 1 subst e_rew_ord Rule_Set.empty false [] (HOLogic.Trueprop $ pat) form;
|
neuper@42432
|
1123 |
|
walther@60242
|
1124 |
if UnparseC.term form' = "d_d x (x \<up> 2) + cos (x \<up> 4) * d_d x ?_dummy_1" then ()
|
walther@59909
|
1125 |
else error "find_fill_patterns changed 3";
|
neuper@42432
|
1126 |
|
neuper@42433
|
1127 |
"~~~~~ to findFillpatterns return val:"; val (fillpats) =
|
walther@59909
|
1128 |
(map (Error_Pattern.fill_from_store (subs_opt, subst) f_curr errpatID) errpatthms |> flat) (*only from "hd errpatthms"*);
|
neuper@42432
|
1129 |
|
neuper@42450
|
1130 |
"vvv--- dropped this code WN120730";
|
neuper@42433
|
1131 |
val msg = "fill patterns " ^
|
walther@59868
|
1132 |
((map ((apsnd UnparseC.term) o quad2pair) fillpats) |> map pair2str_ |> strs2str_);
|
neuper@42450
|
1133 |
msg =
|
walther@60242
|
1134 |
"fill patterns #fill-d_d-arg#d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" ^
|
walther@60242
|
1135 |
" =\nd_d x (x \<up> 2) + cos (x \<up> 4) * d_d x ?_dummy_1" ^
|
walther@60242
|
1136 |
"#fill-both-args#d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" ^
|
walther@60242
|
1137 |
" =\nd_d x (x \<up> 2) + cos ?_dummy_2 * d_d x ?_dummy_3" ^
|
walther@60242
|
1138 |
"#fill-d_d#d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" ^
|
walther@60242
|
1139 |
" =\nd_d x (x \<up> 2) + cos (x \<up> 4) * ?_dummy_1 x (x \<up> 4)" ^
|
walther@60242
|
1140 |
"#fill-inner-deriv#d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" ^
|
walther@60242
|
1141 |
" =\nd_d x (x \<up> 2) + cos (x \<up> 4) * ?_dummy_1" ^
|
walther@60242
|
1142 |
"#fill-all#d_d x (x \<up> 2) + d_d x (sin (x \<up> 4)) = d_d x (x \<up> 2) + ?_dummy_1#";
|
walther@60242
|
1143 |
" \<up> --- dropped this code WN120730";
|
neuper@42450
|
1144 |
|
neuper@42450
|
1145 |
if (map #1 fillpats) =
|
neuper@42450
|
1146 |
["fill-d_d-arg", "fill-both-args", "fill-d_d", "fill-inner-deriv", "fill-all"]
|
walther@59909
|
1147 |
then () else error "find_fill_patterns changed 4b";
|
wneuper@59252
|
1148 |
DEconstrCalcTree 1;
|
neuper@42450
|
1149 |
|
neuper@42437
|
1150 |
"--------- build fun is_exactly_equal, inputFillFormula ----------";
|
neuper@42437
|
1151 |
"--------- build fun is_exactly_equal, inputFillFormula ----------";
|
neuper@42437
|
1152 |
"--------- build fun is_exactly_equal, inputFillFormula ----------";
|
s1210629013@55445
|
1153 |
reset_states ();
|
neuper@42437
|
1154 |
CalcTree
|
walther@60242
|
1155 |
[(["functionTerm (x \<up> 2 + sin (x \<up> 4))", "differentiateFor x", "derivative f_f'"],
|
walther@59997
|
1156 |
("Isac_Knowledge", ["derivative_of", "function"], ["diff", "differentiate_on_R"]))];
|
neuper@42437
|
1157 |
Iterator 1;
|
neuper@42437
|
1158 |
moveActiveRoot 1;
|
wneuper@59248
|
1159 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
1160 |
autoCalculate 1 (Steps 1);
|
walther@60242
|
1161 |
autoCalculate 1 (Steps 1);(*([1], Res), d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))*)
|
walther@60242
|
1162 |
appendFormula 1 "d_d x (x \<up> 2) + cos (4 * x \<up> 3)" (*|> Future.join*); (*<<<<<<<=========================*)
|
neuper@42437
|
1163 |
(* the check for errpat is maximally liberal (whole term modulo "nrls" from "type met"),
|
walther@60242
|
1164 |
would recognize "cos (4 * x \<up> (4 - 1)) + 2 * x" as well.
|
neuper@42437
|
1165 |
results in <CALCMESSAGE> error pattern #chain-rule-diff-both# </CALCMESSAGE>
|
neuper@42437
|
1166 |
instead of <CALCMESSAGE> no derivation found </CALCMESSAGE> *)
|
neuper@42437
|
1167 |
val ((pt,pos), _) = get_calc 1;
|
neuper@42437
|
1168 |
val p = get_pos 1 1;
|
walther@59983
|
1169 |
val (Form f, _, asms) = ME_Misc.pt_extract (pt, p);
|
neuper@42437
|
1170 |
|
walther@60242
|
1171 |
if p = ([1], Res) andalso UnparseC.term f = "d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" then
|
wneuper@59497
|
1172 |
case get_obj g_tac pt (fst p) of Rewrite_Inst (["(''bdv'', x)"],
|
wneuper@59253
|
1173 |
("diff_sum", thm)) =>
|
walther@59868
|
1174 |
if (UnparseC.term o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
|
walther@59909
|
1175 |
else error "embed fun fill_form changed 11"
|
walther@59909
|
1176 |
| _ => error "embed fun fill_form changed 12"
|
walther@59909
|
1177 |
else error "embed fun fill_form changed 13";
|
neuper@42437
|
1178 |
|
neuper@42437
|
1179 |
findFillpatterns 1 "chain-rule-diff-both"; (*<<<<<<<=================================*)
|
walther@60242
|
1180 |
(*<CALCMESSAGE> fill patterns #fill-d_d-arg#d_d x (x \<up> 2) + d_d x (sin (x \<up> 4)) =
|
walther@60242
|
1181 |
d_d x (x \<up> 2) + cos (x \<up> 4) * d_d x ?_dummy_1#fill-both-args#...#...#... *)
|
neuper@42437
|
1182 |
val ((pt,pos),_) = get_calc 1;
|
neuper@42437
|
1183 |
val p = get_pos 1 1;
|
neuper@42437
|
1184 |
|
walther@59983
|
1185 |
val (Form f, _, asms) = ME_Misc.pt_extract (pt, p);
|
walther@60242
|
1186 |
if p = ([1], Res) andalso UnparseC.term f = "d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))" then
|
wneuper@59497
|
1187 |
case get_obj g_tac pt (fst p) of Rewrite_Inst (["(''bdv'', x)"],
|
wneuper@59253
|
1188 |
("diff_sum", thm)) =>
|
walther@59868
|
1189 |
if (UnparseC.term o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
|
walther@59909
|
1190 |
else error "embed fun fill_form changed 21"
|
walther@59909
|
1191 |
| _ => error "embed fun fill_form changed 22"
|
walther@59909
|
1192 |
else error "embed fun fill_form changed 23";
|
neuper@42437
|
1193 |
|
neuper@42437
|
1194 |
requestFillformula 1 ("chain-rule-diff-both", "fill-both-args");(*<<<<<<<============*)
|
neuper@42437
|
1195 |
(*<AUTOCALC> ([1], Res) ([2], Res) ([2], Res) </AUTOCALC>*)
|
neuper@42437
|
1196 |
val ((pt,pos),_) = get_calc 1;
|
neuper@42437
|
1197 |
val p = get_pos 1 1;
|
walther@59983
|
1198 |
val (Form f, _, asms) = ME_Misc.pt_extract (pt, p);
|
wneuper@59253
|
1199 |
if p = ([1], Res) andalso existpt [2] pt
|
walther@60242
|
1200 |
andalso UnparseC.term f = "d_d x (x \<up> 2) + d_d x (sin (x \<up> 4))"
|
wneuper@59497
|
1201 |
then case get_obj g_tac pt (fst p) of Rewrite_Inst (["(''bdv'', x)"],
|
wneuper@59253
|
1202 |
("diff_sum", thm)) =>
|
walther@59868
|
1203 |
if (UnparseC.term o Thm.prop_of) thm = "d_d ?bdv (?u + ?v) = d_d ?bdv ?u + d_d ?bdv ?v" then ()
|
walther@59909
|
1204 |
else error "embed fun fill_form changed 31"
|
walther@59909
|
1205 |
| _ => error "embed fun fill_form changed 32"
|
walther@59909
|
1206 |
else error "embed fun fill_form changed 33";
|
neuper@42437
|
1207 |
|
neuper@42437
|
1208 |
(* input a formula which exactly fills the gaps in a "fillformula"
|
neuper@42437
|
1209 |
presented to the learner immediately before by "requestFillformula (errpatID, fillpatID)":
|
neuper@42437
|
1210 |
errpatID: lhs of the respective thm = lhs of fillformula with fillpatID.
|
neuper@42437
|
1211 |
the respective thm is in the ctree ................
|
neuper@42437
|
1212 |
*)
|
neuper@42437
|
1213 |
"~~~~~ fun inputFillFormula, args:"; val (cI, ifo) =
|
walther@60242
|
1214 |
(1, "d_d x (x \<up> 2) + cos (x \<up> 4) * d_d x (x \<up> 4)");
|
neuper@42437
|
1215 |
val ((pt, _), _) = get_calc cI
|
neuper@42437
|
1216 |
val pos = get_pos cI 1;
|
neuper@42437
|
1217 |
|
neuper@42437
|
1218 |
"~~~~~ fun is_exactly_equal, args:"; val ((pt, pos as (p, p_)), istr) = ((pt, pos), ifo);
|
walther@59881
|
1219 |
val SOME ifo = parseNEW (ThyC.get_theory "Isac_Knowledge" |> ThyC.to_ctxt) istr
|
neuper@42437
|
1220 |
val p' = lev_on p;
|
neuper@42437
|
1221 |
val tac = get_obj g_tac pt p';
|
wneuper@59497
|
1222 |
val Rewrite_Inst ([bbb as "(''bdv'', x)"], ("diff_sin_chain", ttt)) = tac;
|
walther@59868
|
1223 |
if (UnparseC.term o Thm.prop_of) ttt = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
|
wneuper@59252
|
1224 |
else error "inputFillFormula changed 10";
|
walther@59921
|
1225 |
val Applicable.Yes rew = Step.check tac (pt, pos);
|
neuper@42437
|
1226 |
val Rewrite_Inst' (_, _, _, _, _, _, _, (res, _)) = rew;
|
neuper@42437
|
1227 |
|
neuper@42437
|
1228 |
"~~~~~ to inputFillFormula return val:"; val ("ok", tac) = ("ok", tac);
|
walther@59804
|
1229 |
val ("ok", (_, c, ptp as (_,p'))) = Step.by_tactic tac (pt, pos);
|
neuper@42437
|
1230 |
upd_calc cI (ptp, []);
|
neuper@42437
|
1231 |
upd_ipos cI 1 p';
|
neuper@42437
|
1232 |
autocalculateOK2xml cI pos (if null c then p' else last_elem c) p';
|
neuper@42437
|
1233 |
|
neuper@42437
|
1234 |
"~~~~~ final check:";
|
neuper@42437
|
1235 |
val ((pt, _),_) = get_calc 1;
|
neuper@42437
|
1236 |
val p = get_pos 1 1;
|
walther@59983
|
1237 |
val (Form f, _, asms) = ME_Misc.pt_extract (pt, p);
|
walther@60242
|
1238 |
if p = ([2], Res) andalso UnparseC.term f = "d_d x (x \<up> 2) + cos (x \<up> 4) * d_d x (x \<up> 4)"
|
wneuper@59497
|
1239 |
then case get_obj g_tac pt (fst p) of Rewrite_Inst (["(''bdv'', x)"],
|
wneuper@59253
|
1240 |
("diff_sin_chain", thm)) =>
|
walther@59868
|
1241 |
if (UnparseC.term o Thm.prop_of) thm = "d_d ?bdv (sin ?u) = cos ?u * d_d ?bdv ?u" then ()
|
wneuper@59253
|
1242 |
else error "inputFillFormula changed 111"
|
wneuper@59253
|
1243 |
| _ => error "inputFillFormula changed 112"
|
wneuper@59253
|
1244 |
else error "inputFillFormula changed 113";
|
neuper@42437
|
1245 |
|
wneuper@59262
|
1246 |
"--------- fun appl_adds -----------------------------------------";
|
wneuper@59262
|
1247 |
"--------- fun appl_adds -----------------------------------------";
|
wneuper@59262
|
1248 |
"--------- fun appl_adds -----------------------------------------";
|
wneuper@59262
|
1249 |
(* val (dI, oris, ppc, pbt, selct::ss) =
|
wneuper@59262
|
1250 |
(dI, pors, probl, ppc, map itms2fstr probl);
|
wneuper@59262
|
1251 |
...vvv
|
wneuper@59262
|
1252 |
*)
|
wneuper@59262
|
1253 |
(* val (dI, oris, ppc, pbt, (selct::ss))=
|
walther@59983
|
1254 |
(#1 (References.select ospec spec), oris, []:I_Model.T,
|
walther@59983
|
1255 |
((#ppc o Problem.from_store) (#2 (References.select ospec spec))),(imodel2fstr imodel));
|
wneuper@59262
|
1256 |
val iii = appl_adds dI oris ppc pbt (selct::ss);
|
walther@59942
|
1257 |
tracing(I_Model.to_string thy iii);
|
wneuper@59262
|
1258 |
|
walther@59956
|
1259 |
val itm = add_single' dI oris ppc pbt selct;
|
walther@59988
|
1260 |
val ppc = I_Model.add itm ppc;
|
wneuper@59262
|
1261 |
|
wneuper@59262
|
1262 |
val _::selct::ss = (selct::ss);
|
walther@59956
|
1263 |
val itm = add_single' dI oris ppc pbt selct;
|
walther@59988
|
1264 |
val ppc = I_Model.add itm ppc;
|
wneuper@59262
|
1265 |
|
wneuper@59262
|
1266 |
val _::selct::ss = (selct::ss);
|
walther@59956
|
1267 |
val itm = add_single' dI oris ppc pbt selct;
|
walther@59988
|
1268 |
val ppc = I_Model.add itm ppc;
|
walther@59942
|
1269 |
tracing(I_Model.to_string thy ppc);
|
wneuper@59262
|
1270 |
|
wneuper@59262
|
1271 |
val _::selct::ss = (selct::ss);
|
walther@59956
|
1272 |
val itm = add_single' dI oris ppc pbt selct;
|
walther@59988
|
1273 |
val ppc = I_Model.add itm ppc;
|
wneuper@59262
|
1274 |
*)
|
wneuper@59264
|
1275 |
"--------- fun concat_deriv --------------------------------------";
|
wneuper@59264
|
1276 |
"--------- fun concat_deriv --------------------------------------";
|
wneuper@59264
|
1277 |
"--------- fun concat_deriv --------------------------------------";
|
wneuper@59264
|
1278 |
(*
|
wneuper@59264
|
1279 |
val ({rew_ord, erls, rules,...}, fo, ifo) =
|
walther@60324
|
1280 |
(Rule_Set.rep Test_simplify, TermC.str2term "x+1+ - 1*2=0", TermC.str2term "-2*1+(x+1)=0");
|
walther@59906
|
1281 |
(tracing o Derive.trtas2str) fod';
|
wneuper@59264
|
1282 |
> ["
|
walther@60324
|
1283 |
(x + 1 + - 1 * 2 = 0, Thm ("radd_commute", "?m + ?n = ?n + ?m"), (- 1 * 2 + (x + 1) = 0, []))", "
|
walther@60324
|
1284 |
(- 1 * 2 + (x + 1) = 0, Thm ("radd_commute", "?m + ?n = ?n + ?m"), (- 1 * 2 + (1 + x) = 0, []))", "
|
walther@60324
|
1285 |
(- 1 * 2 + (1 + x) = 0, Thm ("radd_left_commute", "?x + (?y + ?z) = ?y + (?x + ?z)"), (1 + (- 1 * 2 + x) = 0, []))", "
|
walther@60324
|
1286 |
(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
|
1287 |
val it = () : unit
|
walther@59906
|
1288 |
(tracing o Derive.trtas2str) (map Derive.rev_deriv' rifod');
|
wneuper@59264
|
1289 |
> ["
|
walther@59997
|
1290 |
(1 + (-2 + x) = 0, Thm ("sym_#mult_Float ((~2,0), (0,0)) __ ((1,0), (0,0))", "-2 = -2 * 1"), (1 + (-2 * 1 + x) = 0, []))", "
|
walther@59997
|
1291 |
(1 + (-2 * 1 + x) = 0, Thm ("sym_radd_left_commute", "?y + (?x + ?z) = ?x + (?y + ?z)"), (-2 * 1 + (1 + x) = 0, []))", "
|
walther@59997
|
1292 |
(-2 * 1 + (1 + x) = 0, Thm ("sym_radd_commute", "?n + ?m = ?m + ?n"), (-2 * 1 + (x + 1) = 0, []))"]
|
wneuper@59264
|
1293 |
val it = () : unit
|
wneuper@59264
|
1294 |
*)
|
wneuper@59264
|
1295 |
"--------- handle an input formula -------------------------------";
|
wneuper@59264
|
1296 |
"--------- handle an input formula -------------------------------";
|
wneuper@59264
|
1297 |
"--------- handle an input formula -------------------------------";
|
wneuper@59264
|
1298 |
(*
|
wneuper@59264
|
1299 |
Untersuchung zur Formeleingabe (appendFormula, replaceFormla) zu einer Anregung von Alan Krempler:
|
wneuper@59264
|
1300 |
Welche RICHTIGEN Formeln koennen NICHT abgeleitet werden,
|
wneuper@59264
|
1301 |
wenn Abteilungen nur auf gleichem Level gesucht werden ?
|
wneuper@59264
|
1302 |
WN.040216
|
wneuper@59264
|
1303 |
|
wneuper@59264
|
1304 |
Beispiele zum Equationsolver von Richard Lang aus /src/sml/kbtest/rlang.sml
|
wneuper@59264
|
1305 |
|
wneuper@59264
|
1306 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1307 |
"Schalk I s.87 Bsp 52a ((5*x)/(x - 2) - x/(x+2)=4)";
|
wneuper@59264
|
1308 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1309 |
1. "5 * x / (x - 2) - x / (x + 2) = 4"
|
wneuper@59264
|
1310 |
...
|
walther@60242
|
1311 |
4. "12 * x + 4 * x \<up> 2 = 4 * (-4 + x \<up> 2)",Subproblem["normalise", "poly"..
|
wneuper@59264
|
1312 |
...
|
wneuper@59264
|
1313 |
4.3. "16 + 12 * x = 0", Subproblem["degree_1", "polynomial", "univariate"..
|
wneuper@59264
|
1314 |
...
|
wneuper@59264
|
1315 |
4.3.3. "[x = -4 / 3]")), Check_elementwise "Assumptions"
|
wneuper@59264
|
1316 |
...
|
wneuper@59264
|
1317 |
"[x = -4 / 3]"
|
wneuper@59264
|
1318 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1319 |
(1)..(6): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite verschiebt [Ableitung ware in 4.3.n]
|
wneuper@59264
|
1320 |
|
wneuper@59264
|
1321 |
(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
|
1322 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1323 |
|
wneuper@59264
|
1324 |
|
wneuper@59264
|
1325 |
------------------------------------------------------------------------------
|
walther@60242
|
1326 |
"Schalk I s.87 Bsp 55b (x/(x \<up> 2 - 6*x+9) - 1/(x \<up> 2 - 3*x) =1/x)";
|
wneuper@59264
|
1327 |
------------------------------------------------------------------------------
|
walther@60242
|
1328 |
1. "x / (x \<up> 2 - 6 * x + 9) - 1 / (x \<up> 2 - 3 * x) = 1 / x"
|
wneuper@59264
|
1329 |
...
|
walther@60324
|
1330 |
4. "(3 + (- 1 * x + x \<up> 2)) * x = 1 * (9 * x + (x \<up> 3 + -6 * x \<up> 2))"
|
wneuper@59367
|
1331 |
Subproblem["normalise", "polynomial", "univariate"..
|
wneuper@59264
|
1332 |
...
|
walther@60242
|
1333 |
4.4. "-6 * x + 5 * x \<up> 2 = 0", Subproblem["bdv_only", "degree_2", "poly"..
|
wneuper@59264
|
1334 |
...
|
wneuper@59264
|
1335 |
4.4.4. "[x = 0, x = 6 / 5]", Check_elementwise "Assumptions"
|
wneuper@59264
|
1336 |
4.4.5. "[x = 0, x = 6 / 5]"
|
wneuper@59264
|
1337 |
...
|
wneuper@59264
|
1338 |
5. "[x = 0, x = 6 / 5]", Check_elementwise "Assumptions"
|
wneuper@59264
|
1339 |
"[x = 6 / 5]"
|
wneuper@59264
|
1340 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1341 |
(1)..(4): keine 'richtige' Eingabe kann abgeleitet werden, die einen Summanden auf die andere Seite schiebt [Ableitung waere in 4.4.x]
|
wneuper@59264
|
1342 |
|
wneuper@59264
|
1343 |
(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
|
1344 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1345 |
|
wneuper@59264
|
1346 |
|
wneuper@59264
|
1347 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1348 |
"Schalk II s.56 Bsp 73b (sqrt(x+1)+sqrt(4*x+4)=sqrt(9*x+9))";
|
wneuper@59264
|
1349 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1350 |
1. "sqrt (x + 1) + sqrt (4 * x + 4) = sqrt (9 * x + 9)"
|
wneuper@59264
|
1351 |
...
|
wneuper@59264
|
1352 |
6. "13 + 13 * x + -2 * sqrt ((4 + 4 * x) * (9 + 9 * x)) = 1 + x"
|
wneuper@59489
|
1353 |
Subproblem["sq", "rootX", "univariate", "equation"]
|
wneuper@59264
|
1354 |
...
|
walther@60242
|
1355 |
6.6. "144 + 288 * x + 144 * x \<up> 2 = 144 + x \<up> 2 + 288 * x + 143 * x \<up> 2"
|
wneuper@59367
|
1356 |
Subproblem["normalise", "polynomial", "univariate", "equation"]
|
walther@60242
|
1357 |
...6.6.3 "0 = 0" Subproblem["degree_0", "polynomial", "univariate", "equation"]
|
wneuper@59264
|
1358 |
... Or_to_List
|
wneuper@59264
|
1359 |
6.6.3.2 "UniversalList"
|
wneuper@59264
|
1360 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1361 |
(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
|
1362 |
|
wneuper@59264
|
1363 |
(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
|
1364 |
------------------------------------------------------------------------------
|
wneuper@59264
|
1365 |
*)
|
wneuper@59264
|
1366 |
(*sh. comments auf 498*)
|
wneuper@59264
|
1367 |
"--------- fun dropwhile' ----------------------------------------";
|
wneuper@59264
|
1368 |
"--------- fun dropwhile' ----------------------------------------";
|
wneuper@59264
|
1369 |
"--------- fun dropwhile' ----------------------------------------";
|
wneuper@59264
|
1370 |
(*
|
wneuper@59264
|
1371 |
fun equal a b = a=b;
|
wneuper@59264
|
1372 |
val foder = [0,1,2,3,4,5]; val ifoder = [11,12,3,4,5];
|
wneuper@59264
|
1373 |
val r_foder = rev foder; val r_ifoder = rev ifoder;
|
wneuper@59264
|
1374 |
dropwhile' equal r_foder r_ifoder;
|
wneuper@59264
|
1375 |
> vval it = ([0, 1, 2, 3], [3, 12, 11]) : int list * int list
|
wneuper@59264
|
1376 |
|
wneuper@59264
|
1377 |
val foder = [3,4,5]; val ifoder = [11,12,3,4,5];
|
wneuper@59264
|
1378 |
val r_foder = rev foder; val r_ifoder = rev ifoder;
|
wneuper@59264
|
1379 |
dropwhile' equal r_foder r_ifoder;
|
wneuper@59264
|
1380 |
> val it = ([3], [3, 12, 11]) : int list * int list
|
wneuper@59264
|
1381 |
|
wneuper@59264
|
1382 |
val foder = [5]; val ifoder = [11,12,3,4,5];
|
wneuper@59264
|
1383 |
val r_foder = rev foder; val r_ifoder = rev ifoder;
|
wneuper@59264
|
1384 |
dropwhile' equal r_foder r_ifoder;
|
wneuper@59264
|
1385 |
> val it = ([5], [5, 4, 3, 12, 11]) : int list * int list
|
wneuper@59264
|
1386 |
|
wneuper@59264
|
1387 |
val foder = [10,11,12,13,14,15]; val ifoder = [11,12,3,4,5];
|
wneuper@59264
|
1388 |
val r_foder = rev foder; val r_ifoder = rev ifoder;
|
wneuper@59264
|
1389 |
dropwhile' equal r_foder r_ifoder;
|
wneuper@59264
|
1390 |
> *** dropwhile': did not start with equal elements*)
|