neuper@37906
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(*
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neuper@37906
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neuper@37906
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3 |
use"../smltest/IsacKnowledge/diff.sml";
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neuper@37906
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use"diff.sml";
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neuper@37906
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*)
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neuper@37906
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neuper@38081
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"--------------------------------------------------------";
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neuper@38081
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"--------------------------------------------------------";
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neuper@38081
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"table of contents --------------------------------------";
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neuper@38081
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"--------------------------------------------------------";
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neuper@38081
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"----------- problemtype --------------------------------";
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neuper@38081
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"----------- for correction of diff_const ---------------";
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neuper@38081
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"----------- for correction of diff_quot ----------------";
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neuper@38081
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"----------- differentiate by rewrite -------------------";
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neuper@38081
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"----------- differentiate: me (*+ tacs input*) ---------";
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neuper@38081
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"----------- 1.5.02 me from script ----------------------";
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neuper@38081
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"----------- primed id ----------------------------------";
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neuper@38081
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"----------- diff_conv, sym_diff_conv -------------------";
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wneuper@59248
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"----------- autoCalculate differentiate_on_R 2/x^2 -----";
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wneuper@59248
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"----------- autoCalculate diff after_simplification ----";
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wneuper@59248
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"----------- autoCalculate differentiate_equality -------";
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neuper@38081
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"----------- tests for examples -------------------------";
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wneuper@59562
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"------------inform for x^2+x+1 -------------------------";
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neuper@38081
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"--------------------------------------------------------";
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neuper@38081
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"--------------------------------------------------------";
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neuper@38081
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"--------------------------------------------------------";
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neuper@37906
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neuper@37906
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neuper@41929
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val thy = @{theory "Diff"};
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neuper@37906
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neuper@38081
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"----------- problemtype --------------------------------";
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neuper@38081
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"----------- problemtype --------------------------------";
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neuper@38081
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"----------- problemtype --------------------------------";
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neuper@37994
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val pbt = {Given =["functionTerm f_f", "differentiateFor v_v"],
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neuper@37906
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Where =[],
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neuper@37994
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Find =["derivative f_f'"],
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neuper@37906
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With =[],
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neuper@37906
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Relate=[]}:string ppc;
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walther@59989
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val chkpbt = ((map (the o (parse thy))) o P_Model.to_list) pbt;
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neuper@37906
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neuper@37906
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val org = ["functionTerm (d_d x (x ^^^ 2 + 3 * x + 4))",
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walther@59997
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"differentiateFor x", "derivative f_f'"];
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neuper@38081
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val chkorg = map (the o (parse thy)) org;
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neuper@37906
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walther@59997
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Problem.from_store ["derivative_of", "function"];
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walther@59997
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Method.from_store ["diff", "differentiate_on_R"];
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neuper@37906
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neuper@38081
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"----------- for correction of diff_const ---------------";
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neuper@38081
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"----------- for correction of diff_const ---------------";
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neuper@38081
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"----------- for correction of diff_const ---------------";
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neuper@37906
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(*re-evaluate this file, otherwise > *** ME_Isa: 'erls' not known*)
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wneuper@59384
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val t = (Thm.term_of o the o (parse thy)) "Not (x =!= a)";
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wneuper@59384
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case rewrite_set_ thy false erls_diff t of
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wneuper@59384
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SOME (Const ("HOL.True", _), []) => ()
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wneuper@59384
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| _ => error "rewrite_set_ Not (x =!= a) changed";
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neuper@37906
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wneuper@59384
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val t =(Thm.term_of o the o (parse thy)) "2 is_const";
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wneuper@59384
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case rewrite_set_ thy false erls_diff t of
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wneuper@59384
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SOME (Const ("HOL.True", _), []) => ()
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wneuper@59384
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| _ => error "rewrite_set_ 2 is_const changed";
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neuper@37906
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walther@59965
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val thm = @{thm diff_const};
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wneuper@59384
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val ct = (Thm.term_of o the o (parse thy)) "d_d x x";
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walther@59656
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val subst = [(@{term "bdv::real"}, @{term "x::real"})];
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wneuper@59384
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val NONE = (rewrite_inst_ thy tless_true erls_diff false subst thm ct);
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neuper@37906
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neuper@38081
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"----------- for correction of diff_quot ----------------";
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neuper@38081
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"----------- for correction of diff_quot ----------------";
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neuper@38081
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"----------- for correction of diff_quot ----------------";
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wneuper@59384
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val thy = @{theory "Diff"};
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wneuper@59384
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val ct = (Thm.term_of o the o (parse thy)) "Not (x = 0)";
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wneuper@59384
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rewrite_set_ thy false erls_diff ct;
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neuper@37906
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wneuper@59384
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val ct = (Thm.term_of o the o (parse thy)) "d_d x ((x+1) / (x - 1))";
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wneuper@59384
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val thm = @{thm diff_quot};
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neuper@37926
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val SOME (ctt,_) =
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wneuper@59384
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(rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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neuper@37906
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neuper@38081
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"----------- differentiate by rewrite -------------------";
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neuper@38081
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"----------- differentiate by rewrite -------------------";
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neuper@38081
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"----------- differentiate by rewrite -------------------";
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wneuper@59384
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val thy = @{theory "Diff"};
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wneuper@59384
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val ct = (Thm.term_of o the o (parse thy)) "d_d x (x ^^^ 2 + 3 * x + 4)";
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neuper@37906
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"--- 1 ---";
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wneuper@59384
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val thm = @{thm "diff_sum"};
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wneuper@59384
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val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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neuper@37906
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"--- 2 ---";
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wneuper@59384
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val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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neuper@37906
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"--- 3 ---";
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wneuper@59384
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val thm = @{thm "diff_prod_const"};
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wneuper@59384
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val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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neuper@37906
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"--- 4 ---";
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wneuper@59384
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val thm = @{thm "diff_pow"};
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wneuper@59384
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val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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neuper@37906
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"--- 5 ---";
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wneuper@59384
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val thm = @{thm "diff_const"};
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wneuper@59384
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val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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neuper@37906
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"--- 6 ---";
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wneuper@59384
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val thm = @{thm "diff_var"};
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wneuper@59384
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val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
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walther@59868
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if UnparseC.term ct = "2 * x ^^^ (2 - 1) + 3 * 1 + 0" then ()
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neuper@38031
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else error "diff.sml diff.behav. in rewrite 1";
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neuper@37906
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"--- 7 ---";
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wneuper@59384
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"--- 7 ---";
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wneuper@59384
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val rls = Test_simplify;
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wneuper@59384
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val ct = (Thm.term_of o the o (parse thy)) "2 * x ^^^ (2 - 1) + 3 * 1 + 0";
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wneuper@59384
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val (ct, _) = the (rewrite_set_ thy true rls ct);
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walther@59868
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if UnparseC.term ct = "3 + 2 * x" then () else error "rewrite_set_ Test_simplify 2 changed";
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neuper@37906
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neuper@38081
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"----------- differentiate: me (*+ tacs input*) ---------";
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neuper@38081
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"----------- differentiate: me (*+ tacs input*) ---------";
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neuper@38081
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"----------- differentiate: me (*+ tacs input*) ---------";
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neuper@37906
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val fmz = ["functionTerm (x ^^^ 2 + 3 * x + 4)",
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walther@59997
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"differentiateFor x", "derivative f_f'"];
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neuper@37906
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val (dI',pI',mI') =
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walther@59997
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("Diff",["derivative_of", "function"],
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walther@59997
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["diff", "diff_simpl"]);
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neuper@37906
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val p = e_pos'; val c = [];
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neuper@37906
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"--- s1 ---";
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neuper@37906
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val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s2 ---";
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neuper@37906
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(*val nxt = ("Add_Given",
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neuper@37906
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Add_Given "functionTerm (d_d x (x ^^^ #2 + #3 * x + #4))");*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s3 ---";
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neuper@37906
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(*val nxt = ("Add_Given",Add_Given "differentiateFor x");*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s4 ---";
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neuper@37994
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(*val nxt = ("Add_Find",Add_Find "derivative f_f'");*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s5 ---";
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neuper@37906
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(*val nxt = ("Specify_Theory",Specify_Theory dI');*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s6 ---";
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neuper@37906
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(*val nxt = ("Specify_Problem",Specify_Problem pI');*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s7 ---";
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neuper@37906
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(*val nxt = ("Specify_Method",Specify_Method mI');*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- s8 ---";
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neuper@37906
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(*val nxt = ("Apply_Method",Apply_Method mI');*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- 1 ---";
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walther@59997
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(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_sum", "")));*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- 2 ---";
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walther@59997
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(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_sum", "")));*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
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"--- 3 ---";
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wneuper@59497
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(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_prod_const",...;*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
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"--- 4 ---";
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walther@59997
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(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_pow", "")));*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
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"--- 5 ---";
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wneuper@59497
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161 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_prod_const",...;*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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(*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
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"--- 6 ---";
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walther@59997
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(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_var", "")));*)
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neuper@37906
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166 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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167 |
if f2str f = "2 * x ^^^ (2 - 1) + 3 * 1 + 0" then ()
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neuper@38031
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168 |
else error "diff.sml: diff.behav. in d_d x ^^^ 2 + 3 * x + 4";
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neuper@37906
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"--- 7 ---";
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neuper@37906
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170 |
(*val nxt = ("Rewrite_Set",Rewrite_Set "make_polynomial");*)
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neuper@37906
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val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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"--- 8 ---";
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walther@59997
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(*val nxt = ("Check_Postcond",Check_Postcond ("Diff", "differentiate_on_R"));*)
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neuper@37906
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174 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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175 |
"--- 9 ---";
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neuper@37906
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176 |
(*val nxt = ("End_Proof'",End_Proof');*)
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neuper@37906
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177 |
val (p,_,f,nxt,_,pt) = me nxt p c pt; f2str f;
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wneuper@59253
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178 |
if f2str f = "3 + 2 * x"
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walther@59749
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179 |
then case nxt of End_Proof' => ()
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wneuper@59253
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180 |
| _ => error "diff.sml: new.behav. in me (*+ tacs input*) 1"
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wneuper@59253
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181 |
else error "diff.sml: new.behav. in me (*+ tacs input*) 2";
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walther@59814
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182 |
(*if f = EmptyMout then () else error "new behaviour in + tacs input"*)
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neuper@37906
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183 |
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neuper@38081
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184 |
"----------- 1.5.02 me from script ----------------------";
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neuper@38081
|
185 |
"----------- 1.5.02 me from script ----------------------";
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neuper@38081
|
186 |
"----------- 1.5.02 me from script ----------------------";
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neuper@37906
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187 |
(*exp_Diff_No-1.xml*)
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neuper@37906
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188 |
val fmz = ["functionTerm (x ^^^ 2 + 3 * x + 4)",
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walther@59997
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189 |
"differentiateFor x", "derivative f_f'"];
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neuper@37906
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190 |
val (dI',pI',mI') =
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walther@59997
|
191 |
("Diff",["derivative_of", "function"],
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walther@59997
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192 |
["diff", "diff_simpl"]);
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neuper@37906
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193 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
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194 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
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195 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
196 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
197 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
198 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
199 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
200 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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walther@59997
|
201 |
(*nxt = ("Apply_Method",Apply_Method ("Diff", "differentiate_on_R*)
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neuper@37906
|
202 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
203 |
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neuper@37906
|
204 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
205 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
206 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
207 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
208 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
209 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
210 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
211 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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walther@59749
|
212 |
case nxt of End_Proof' => ()
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wneuper@59253
|
213 |
| _ => error "new behaviour in tests/differentiate, 1.5.02 me from script";
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neuper@37906
|
214 |
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neuper@38081
|
215 |
"----------- primed id ----------------------------------";
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neuper@38081
|
216 |
"----------- primed id ----------------------------------";
|
neuper@38081
|
217 |
"----------- primed id ----------------------------------";
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neuper@37994
|
218 |
val f_ = str2term "f_f::bool";
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neuper@37906
|
219 |
val f = str2term "A = s * (a - s)";
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neuper@38081
|
220 |
val v_ = str2term "v_v";
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neuper@37906
|
221 |
val v = str2term "s";
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neuper@38081
|
222 |
val screxp0 = str2term "Take ((primed (lhs f_f)) = d_d v_v (rhs f_f))";
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neuper@37906
|
223 |
atomty screxp0;
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neuper@37906
|
224 |
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neuper@38081
|
225 |
val screxp1 = subst_atomic [(f_, f), (v_, v)] screxp0;
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walther@59868
|
226 |
UnparseC.term screxp1;
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neuper@37906
|
227 |
atomty screxp1;
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neuper@37906
|
228 |
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wneuper@59592
|
229 |
val SOME (f'_,_) = rewrite_set_ (@{theory "Isac_Knowledge"}) false srls_diff screxp1;
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walther@59868
|
230 |
if UnparseC.term f'_= "Take (A' = d_d s (s * (a - s)))" then ()
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neuper@38031
|
231 |
else error "diff.sml: diff.behav. in 'primed'";
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neuper@37906
|
232 |
atomty f'_;
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neuper@37906
|
233 |
|
wneuper@59585
|
234 |
val str = "Program DiffEqScr (f_f::bool) (v_v::real) = \
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neuper@38081
|
235 |
\ (let f_f' = Take ((primed (lhs f_f)) = d_d v_v (rhs f_f)) \
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walther@59637
|
236 |
\ in (((Try (Repeat (Rewrite frac_conv))) #> \
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walther@59637
|
237 |
\ (Try (Repeat (Rewrite root_conv))) #> \
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walther@59637
|
238 |
\ (Try (Repeat (Rewrite realpow_pow))) #> \
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neuper@37906
|
239 |
\ (Repeat \
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walther@59635
|
240 |
\ ((Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sum )) Or \
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walther@59635
|
241 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_prod_const )) Or \
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walther@59635
|
242 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_prod )) Or \
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walther@59635
|
243 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_quot )) Or \
|
walther@59635
|
244 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sin )) Or \
|
walther@59635
|
245 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sin_chain )) Or \
|
walther@59635
|
246 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_cos )) Or \
|
walther@59635
|
247 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_cos_chain )) Or \
|
walther@59635
|
248 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_pow )) Or \
|
walther@59635
|
249 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_pow_chain )) Or \
|
walther@59635
|
250 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_ln )) Or \
|
walther@59635
|
251 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_ln_chain )) Or \
|
walther@59635
|
252 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_exp )) Or \
|
walther@59635
|
253 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_exp_chain )) Or \
|
walther@59635
|
254 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sqrt )) Or \
|
walther@59635
|
255 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sqrt_chain )) Or \
|
walther@59635
|
256 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_const )) Or \
|
walther@59635
|
257 |
\ (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_var )) Or \
|
walther@59637
|
258 |
\ (Repeat (Rewrite_Set make_polynomial)))) #> \
|
walther@59637
|
259 |
\ (Try (Repeat (Rewrite sym_frac_conv))) #> \
|
walther@59635
|
260 |
\ (Try (Repeat (Rewrite sym_root_conv))))) f_f')"
|
neuper@37906
|
261 |
;
|
wneuper@59395
|
262 |
val sc = (inst_abs o Thm.term_of o the o (parse thy)) str;
|
neuper@37906
|
263 |
|
neuper@37906
|
264 |
|
neuper@38081
|
265 |
"----------- diff_conv, sym_diff_conv -------------------";
|
neuper@38081
|
266 |
"----------- diff_conv, sym_diff_conv -------------------";
|
neuper@38081
|
267 |
"----------- diff_conv, sym_diff_conv -------------------";
|
neuper@37906
|
268 |
val subs = [(str2term "bdv", str2term "x")];
|
neuper@37906
|
269 |
val rls = diff_conv;
|
neuper@37906
|
270 |
|
neuper@37906
|
271 |
val t = str2term "2/x^^^2";
|
walther@59868
|
272 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
|
walther@59868
|
273 |
if UnparseC.term t = "2 * x ^^^ -2" then () else error "diff.sml 1/x";
|
neuper@37906
|
274 |
|
neuper@37906
|
275 |
val t = str2term "sqrt (x^^^3)";
|
walther@59868
|
276 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
|
walther@59868
|
277 |
if UnparseC.term t = "x ^^^ (3 / 2)" then () else error "diff.sml x^1/2";
|
neuper@37906
|
278 |
|
neuper@37906
|
279 |
val t = str2term "2 / sqrt x^^^3";
|
walther@59868
|
280 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
|
walther@59868
|
281 |
if UnparseC.term t = "2 * x ^^^ (-3 / 2)" then () else error"diff.sml x^-1/2";
|
neuper@37906
|
282 |
val rls = diff_sym_conv;
|
neuper@37906
|
283 |
|
neuper@37906
|
284 |
val t = str2term "2 * x ^^^ -2";
|
walther@59868
|
285 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
|
walther@59868
|
286 |
if UnparseC.term t = "2 / x ^^^ 2" then () else error "diff.sml sym 1/x";
|
neuper@37906
|
287 |
|
neuper@37906
|
288 |
|
neuper@37906
|
289 |
val t = str2term "x ^^^ (3 / 2)";
|
walther@59868
|
290 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
|
walther@59868
|
291 |
if UnparseC.term t = "sqrt (x ^^^ 3)" then () else error"diff.sml sym x^1/x";
|
neuper@37906
|
292 |
|
neuper@37906
|
293 |
val t = str2term "2 * x ^^^ (-3 / 2)";
|
walther@59868
|
294 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
|
walther@59868
|
295 |
if UnparseC.term t ="2 / sqrt (x ^^^ 3)"then()else error"diff.sml sym x^-1/x";
|
neuper@37906
|
296 |
|
neuper@37906
|
297 |
|
wneuper@59248
|
298 |
"----------- autoCalculate differentiate_on_R 2/x^2 -----";
|
wneuper@59248
|
299 |
"----------- autoCalculate differentiate_on_R 2/x^2 -----";
|
wneuper@59248
|
300 |
"----------- autoCalculate differentiate_on_R 2/x^2 -----";
|
s1210629013@55445
|
301 |
reset_states ();
|
neuper@37906
|
302 |
CalcTree
|
neuper@37906
|
303 |
[(["functionTerm (x^2 + x+ 1/x + 2/x^2)",
|
neuper@37906
|
304 |
(*"functionTerm ((x^3)^5)",*)
|
neuper@37994
|
305 |
"differentiateFor x", "derivative f_f'"],
|
walther@59997
|
306 |
("Isac_Knowledge", ["derivative_of", "function"],
|
walther@59997
|
307 |
["diff", "differentiate_on_R"]))];
|
neuper@37906
|
308 |
Iterator 1;
|
neuper@37906
|
309 |
moveActiveRoot 1;
|
wneuper@59248
|
310 |
autoCalculate 1 CompleteCalc;
|
walther@59983
|
311 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
walther@59868
|
312 |
if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) =
|
neuper@37906
|
313 |
"1 + 2 * x + -1 / x ^^^ 2 + -4 / x ^^^ 3" then ()
|
neuper@38031
|
314 |
else error "diff.sml: differentiate_on_R 2/x^2 changed";
|
neuper@37906
|
315 |
|
neuper@38081
|
316 |
"---------------------------------------------------------";
|
s1210629013@55445
|
317 |
reset_states ();
|
neuper@37906
|
318 |
CalcTree
|
neuper@37906
|
319 |
[(["functionTerm (x^3 * x^5)",
|
neuper@37994
|
320 |
"differentiateFor x", "derivative f_f'"],
|
walther@59997
|
321 |
("Isac_Knowledge", ["derivative_of", "function"],
|
walther@59997
|
322 |
["diff", "differentiate_on_R"]))];
|
neuper@37906
|
323 |
Iterator 1;
|
neuper@37906
|
324 |
moveActiveRoot 1;
|
walther@59627
|
325 |
autoCalculate 1 CompleteCalc;
|
walther@59901
|
326 |
(* Rewrite.trace_on := true;
|
walther@59901
|
327 |
LItool.trace_on := false;
|
neuper@37906
|
328 |
*)
|
walther@59983
|
329 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
neuper@37906
|
330 |
|
walther@59868
|
331 |
if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) =
|
neuper@37906
|
332 |
"8 * x ^^^ 7" then ()
|
neuper@38031
|
333 |
else error "diff.sml: differentiate_on_R (x^3 * x^5) changed";
|
neuper@37906
|
334 |
|
wneuper@59248
|
335 |
"----------- autoCalculate diff after_simplification ----";
|
wneuper@59248
|
336 |
"----------- autoCalculate diff after_simplification ----";
|
wneuper@59248
|
337 |
"----------- autoCalculate diff after_simplification ----";
|
s1210629013@55445
|
338 |
reset_states ();
|
neuper@37906
|
339 |
CalcTree
|
neuper@37906
|
340 |
[(["functionTerm (x^3 * x^5)",
|
neuper@37994
|
341 |
"differentiateFor x", "derivative f_f'"],
|
walther@59997
|
342 |
("Isac_Knowledge", ["derivative_of", "function"],
|
walther@59997
|
343 |
["diff", "after_simplification"]))];
|
neuper@37906
|
344 |
Iterator 1;
|
neuper@37906
|
345 |
moveActiveRoot 1;
|
walther@59901
|
346 |
(* Rewrite.trace_on := true;
|
walther@59901
|
347 |
LItool.trace_on := true;
|
neuper@37906
|
348 |
*)
|
wneuper@59248
|
349 |
autoCalculate 1 CompleteCalc;
|
walther@59901
|
350 |
(* Rewrite.trace_on := false;
|
walther@59901
|
351 |
LItool.trace_on := false;
|
neuper@37906
|
352 |
*)
|
walther@59983
|
353 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
walther@59868
|
354 |
if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "8 * x ^^^ 7"
|
neuper@38031
|
355 |
then () else error "biegelinie.sml: 1st biegelin.7.27 changed";
|
neuper@37906
|
356 |
|
neuper@38081
|
357 |
"--------------------------------------------------------";
|
s1210629013@55445
|
358 |
reset_states ();
|
neuper@37906
|
359 |
CalcTree
|
neuper@37906
|
360 |
[(["functionTerm ((x^3)^5)",
|
neuper@37994
|
361 |
"differentiateFor x", "derivative f_f'"],
|
walther@59997
|
362 |
("Isac_Knowledge", ["derivative_of", "function"],
|
walther@59997
|
363 |
["diff", "after_simplification"]))];
|
neuper@37906
|
364 |
Iterator 1;
|
neuper@37906
|
365 |
moveActiveRoot 1;
|
wneuper@59248
|
366 |
autoCalculate 1 CompleteCalc;
|
walther@59983
|
367 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
walther@59868
|
368 |
if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "15 * x ^^^ 14"
|
neuper@38031
|
369 |
then () else error "biegelinie.sml: 1st biegelin.7.27 changed";
|
neuper@37906
|
370 |
|
wneuper@59248
|
371 |
"----------- autoCalculate differentiate_equality -------";
|
wneuper@59248
|
372 |
"----------- autoCalculate differentiate_equality -------";
|
wneuper@59248
|
373 |
"----------- autoCalculate differentiate_equality -------";
|
s1210629013@55445
|
374 |
reset_states ();
|
neuper@37906
|
375 |
CalcTree
|
neuper@42393
|
376 |
[(["functionEq (A = s * (a - (s::real)))", "differentiateFor s", "derivativeEq f_f'"],
|
walther@59997
|
377 |
("Isac_Knowledge", ["named", "derivative_of", "function"],
|
walther@59997
|
378 |
["diff", "differentiate_equality"]))];
|
neuper@37906
|
379 |
Iterator 1;
|
neuper@37906
|
380 |
moveActiveRoot 1;
|
wneuper@59248
|
381 |
autoCalculate 1 CompleteCalc;
|
walther@59983
|
382 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
neuper@37906
|
383 |
|
neuper@38081
|
384 |
"----------- tests for examples -------------------------";
|
neuper@38081
|
385 |
"----------- tests for examples -------------------------";
|
neuper@38081
|
386 |
"----------- tests for examples -------------------------";
|
neuper@37906
|
387 |
"----- parse errors";
|
neuper@38081
|
388 |
(*str2term "F = sqrt( y^^^2 - O) * (z + O^^^2)";
|
neuper@38081
|
389 |
str2term "O";
|
neuper@38081
|
390 |
str2term "OO"; ---errors*)
|
neuper@38081
|
391 |
str2term "OOO";
|
neuper@37906
|
392 |
|
neuper@37906
|
393 |
"----- thm 'diff_prod_const'";
|
neuper@37906
|
394 |
val subs = [(str2term "bdv", str2term "l")];
|
neuper@38081
|
395 |
val f = str2term "G' = d_d l (l * sqrt (7 * s ^^^ 2 - l ^^^ 2))";
|
neuper@37906
|
396 |
|
wneuper@59562
|
397 |
"------------inform for x^2+x+1 -------------------------";
|
wneuper@59562
|
398 |
"------------inform for x^2+x+1 -------------------------";
|
wneuper@59562
|
399 |
"------------inform for x^2+x+1 -------------------------";
|
s1210629013@55445
|
400 |
reset_states ();
|
neuper@37906
|
401 |
CalcTree
|
neuper@37906
|
402 |
[(["functionTerm (x^2 + x + 1)",
|
neuper@37994
|
403 |
"differentiateFor x", "derivative f_f'"],
|
walther@59997
|
404 |
("Isac_Knowledge", ["derivative_of", "function"],
|
walther@59997
|
405 |
["diff", "differentiate_on_R"]))];
|
neuper@37906
|
406 |
Iterator 1;
|
neuper@37906
|
407 |
moveActiveRoot 1;
|
wneuper@59248
|
408 |
autoCalculate 1 CompleteCalcHead;
|
walther@59747
|
409 |
autoCalculate 1 (Steps 1);
|
walther@59747
|
410 |
autoCalculate 1 (Steps 1);
|
walther@59747
|
411 |
autoCalculate 1 (Steps 1);
|
walther@59983
|
412 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
wneuper@59123
|
413 |
appendFormula 1 "2*x + d_d x x + d_d x 1" (*|> Future.join*);
|
walther@59983
|
414 |
val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
|
neuper@37906
|
415 |
if existpt' ([3], Res) pt then ()
|
neuper@38031
|
416 |
else error "diff.sml: inform d_d x (x^2 + x + 1) doesnt work";
|
neuper@38081
|
417 |
|