neuper@37906
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(*
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neuper@37906
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2 |
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neuper@37906
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use"../smltest/IsacKnowledge/diff.sml";
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neuper@37906
|
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use"diff.sml";
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neuper@37906
|
5 |
*)
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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
|
10 |
" _________________ problemtype _________________ ";
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neuper@37906
|
11 |
"----------- for correction of diff_const ------------------------";
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neuper@37906
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12 |
" _________________ for correction of diff_quot _________________ ";
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neuper@37906
|
13 |
" _________________ differentiate by rewrite _________________ ";
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neuper@37906
|
14 |
" ______________ differentiate: me (*+ tacs input*) ______________ ";
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neuper@37906
|
15 |
" ________________ differentiate stdin: student active________________ ";
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neuper@37906
|
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" _________________ differentiate stdin: tutor active_________________ ";
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neuper@37906
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"---------------------1.5.02 me from script ---------------------";
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neuper@37906
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18 |
"----------- primed id -------------------------------------------";
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neuper@37906
|
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"----------- diff_conv, sym_diff_conv ----------------------------";
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neuper@37906
|
20 |
"----------- autoCalculate differentiate_on_R 2/x^2 --------------";
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neuper@37906
|
21 |
"----------- autoCalculate diff after_simplification -------------";
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neuper@37906
|
22 |
"----------- autoCalculate differentiate_equality ----------------";
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neuper@37906
|
23 |
"----------- tests for examples ----------------------------------";
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neuper@37906
|
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"------------inform for x^2+x+1 ----------------------------------";
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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
|
28 |
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neuper@37906
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neuper@37906
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val thy = Diff.thy;
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neuper@37906
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neuper@37906
|
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" _________________ problemtype _________________ ";
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neuper@37906
|
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" _________________ problemtype _________________ ";
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neuper@37906
|
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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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neuper@37906
|
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val chkpbt = ((map (the o (parse Diff.thy))) o ppc2list) pbt;
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neuper@37906
|
41 |
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neuper@37906
|
42 |
val org = ["functionTerm (d_d x (x ^^^ 2 + 3 * x + 4))",
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neuper@37994
|
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"differentiateFor x","derivative f_f'"];
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neuper@37906
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val chkorg = map (the o (parse Diff.thy)) org;
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neuper@37906
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neuper@37906
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get_pbt ["derivative_of","function"];
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neuper@37906
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47 |
get_met ["diff","differentiate_on_R"];
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neuper@37906
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48 |
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neuper@37906
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(*erls should not be in ruleset'! Here only for tests*)
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neuper@37906
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ruleset' :=
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neuper@37906
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overwritelthy thy
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neuper@37906
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(!ruleset',
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neuper@37906
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[("erls",
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neuper@37906
|
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Rls {id = "erls",preconds = [], rew_ord = ("termlessI",termlessI),
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neuper@37906
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55 |
erls = e_rls, srls = Erls, calc = [], (*asm_thm = [],*)
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neuper@37969
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rules = [Thm ("refl",num_str @{thm refl}),
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neuper@37969
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Thm ("real_le_refl",num_str @{thm real_le_refl}}),
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neuper@37969
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58 |
Thm ("radd_left_cancel_le",num_str @{thm radd_left_cancel_le}),
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neuper@37969
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Thm ("not_true",num_str @{thm not_true}),
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neuper@37969
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Thm ("not_false",num_str @{thm not_false}),
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neuper@37969
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Thm ("and_true",num_str @{thm and_true}),
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neuper@37969
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Thm ("and_false",num_str @{thm and_false}),
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neuper@37969
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Thm ("or_true",num_str @{thm or_true}),
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neuper@37969
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Thm ("or_false",num_str @{thm or_false}),
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neuper@37969
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Thm ("and_commute",num_str @{and_commute}),
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neuper@37969
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Thm ("or_commute",num_str @{or_commute}),
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neuper@37906
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neuper@37906
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Calc ("Atools.is'_const",eval_const "#is_const_"),
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neuper@37906
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Calc ("Atools.occurs'_in", eval_occurs_in ""),
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neuper@37906
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Calc ("Tools.matches",eval_matches ""),
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neuper@37906
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neuper@38014
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Calc ("Groups.plus_class.plus",eval_binop "#add_"),
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neuper@38034
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Calc ("Groups.times_class.times",eval_binop "#mult_"),
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neuper@37906
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Calc ("Atools.pow" ,eval_binop "#power_"),
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neuper@37906
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neuper@37906
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Calc ("op <",eval_equ "#less_"),
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neuper@37906
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Calc ("op <=",eval_equ "#less_equal_"),
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neuper@37906
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neuper@37906
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Calc ("Atools.ident",eval_ident "#ident_")],
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neuper@37906
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scr = Script ((term_of o the o (parse thy))
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neuper@37906
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"empty_script")
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neuper@37906
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}:rls
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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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"----------- for correction of diff_const ------------------------";
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neuper@37906
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"----------- for correction of diff_const ------------------------";
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neuper@37906
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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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neuper@37991
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val thy' = "Diff";
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neuper@37906
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val ct = "Not (x =!= a)";
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neuper@37906
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rewrite_set thy' false "erls" ct;
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neuper@37906
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val ct = "2 is_const";
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neuper@37906
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rewrite_set thy' false "erls" ct;
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neuper@37906
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neuper@37906
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val thm = ("diff_const","");
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neuper@37906
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val ct = "d_d x x";
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neuper@37926
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val NONE =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","x")] thm ct);
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neuper@37906
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val ct = "d_d x 2";
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neuper@37926
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val SOME (ctt,_) =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","x")] thm ct);
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neuper@37906
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"----- for 'd_d s a' we got 'a is_const' --> False --------vvv-----";
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neuper@37906
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trace_rewrite := true;
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neuper@37906
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val ct = "d_d s a";
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","s")] thm ct);
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neuper@37926
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(*got: NONE instead SOME*)
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neuper@37906
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eval_true Isac.thy [str2term "a is_const"] (assoc_rls"erls");
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neuper@37906
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(*got: false instead true; ~~~~~~~~~~~ replaced by 'is_atom'*)
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neuper@37926
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val SOME (ctt,_) =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","s")] thm ct);
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neuper@38031
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if ctt = "0" then () else error "diff.sml: thm 'diff_const' diff.behav.";
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neuper@37906
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trace_rewrite := false;
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neuper@37906
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"----- for 'd_d s a' we had 'a is_const' --> False --------^^^-----";
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neuper@37906
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neuper@37906
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val thm = ("diff_var","");
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neuper@37906
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val ct = "d_d x x";
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neuper@37926
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val SOME (ctt,_) =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","x")] thm ct);
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neuper@37906
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val ct = "d_d x a";
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neuper@37926
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val NONE =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","x")] thm ct);
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neuper@37906
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val ct = "d_d x (x+x)";
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neuper@37926
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val NONE =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" false [("bdv","x")] thm ct);
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neuper@37906
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neuper@37906
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126 |
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neuper@37906
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" _________________ for correction of diff_quot _________________ ";
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neuper@37906
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" _________________ for correction of diff_quot _________________ ";
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neuper@37906
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" _________________ for correction of diff_quot _________________ ";
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neuper@37991
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val thy' = "Diff";
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neuper@37906
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val ct = "Not (x = 0)";
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neuper@37906
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rewrite_set thy' false "erls" ct;
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neuper@37906
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neuper@37906
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val ct = "d_d x ((x+1) / (x - 1))";
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neuper@37906
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val thm = ("diff_quot","");
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neuper@37926
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val SOME (ctt,_) =
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neuper@37906
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(rewrite_inst thy' "tless_true" "erls" true [("bdv","x")] thm ct);
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neuper@37906
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138 |
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neuper@37906
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neuper@37906
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140 |
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neuper@37906
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141 |
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neuper@37906
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142 |
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neuper@37906
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neuper@37906
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neuper@37906
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" _________________ differentiate by rewrite _________________ ";
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neuper@37906
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" _________________ differentiate by rewrite _________________ ";
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neuper@37906
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147 |
" _________________ differentiate by rewrite _________________ ";
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neuper@37991
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val thy' = "Diff";
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neuper@37906
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val ct = "d_d x (x ^^^ 2 + 3 * x + 4)";
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neuper@37906
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"--- 1 ---";
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neuper@37906
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val thm = ("diff_sum","");
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neuper@37906
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val (ct,_) = the (rewrite_inst thy' "tless_true" "erls" true
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neuper@37906
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[("bdv","x::real")] thm ct);
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neuper@37906
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"--- 2 ---";
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neuper@37906
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val (ct,_) = the (rewrite_inst thy' "tless_true" "erls" true
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neuper@37906
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[("bdv","x::real")] thm ct);
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neuper@37906
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"--- 3 ---";
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neuper@37906
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val thm = ("diff_prod_const","");
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neuper@37906
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val (ct,_) = the (rewrite_inst thy' "tless_true" "erls" true
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neuper@37906
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[("bdv","x::real")] thm ct);
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neuper@37906
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"--- 4 ---";
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neuper@37906
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val thm = ("diff_pow","");
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neuper@37906
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val (ct,_) = the (rewrite_inst thy' "tless_true" "erls" true
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neuper@37906
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[("bdv","x::real")] thm ct);
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neuper@37906
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"--- 5 ---";
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neuper@37906
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val thm = ("diff_const","");
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neuper@37906
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val (ct,_) = the (rewrite_inst thy' "tless_true" "erls" true
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neuper@37906
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[("bdv","x::real")] thm ct);
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neuper@37906
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"--- 6 ---";
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neuper@37906
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val thm = ("diff_var","");
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neuper@37906
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val (ct,_) = the (rewrite_inst thy' "tless_true" "erls" true
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neuper@37906
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[("bdv","x::real")] thm ct);
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neuper@37906
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if 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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175 |
"--- 7 ---";
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neuper@37906
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val rls = ("Test_simplify");
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neuper@37906
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177 |
val (ct,_) = the (rewrite_set thy' false rls ct);
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neuper@38031
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178 |
if ct="3 + 2 * x" then () else error "new behaviour in test-example";
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neuper@37906
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179 |
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neuper@37906
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180 |
val ct = "2 * x ^^^ (2 - 1) + 3 * 1 + 0";
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neuper@37906
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val (ct,_) = the (rewrite_set thy' true rls ct);
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neuper@37906
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182 |
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neuper@37906
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183 |
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neuper@37906
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184 |
(*---
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neuper@37906
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185 |
val t = str2term "x ^^^ (2 - 1)";
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neuper@37926
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val SOME (t',_) = rewrite_set_ thy false Test_simplify t;
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neuper@37906
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term2str t';
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neuper@37906
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188 |
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neuper@37906
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val t = str2term "-1 * 1";
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neuper@37926
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val SOME (thmID,thm) = get_calculation_ thy (the(assoc(calclist,"times"))) t;
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neuper@37906
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*)
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neuper@37906
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192 |
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neuper@37906
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193 |
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neuper@37906
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194 |
" ______________ differentiate: me (*+ tacs input*) ______________ ";
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neuper@37906
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195 |
" ______________ differentiate: me (*+ tacs input*) ______________ ";
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neuper@37906
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196 |
" ______________ differentiate: me (*+ tacs input*) ______________ ";
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neuper@37906
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197 |
val fmz = ["functionTerm (x ^^^ 2 + 3 * x + 4)",
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neuper@37994
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"differentiateFor x","derivative f_f'"];
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neuper@37906
|
199 |
val (dI',pI',mI') =
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neuper@37991
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("Diff",["derivative_of","function"],
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neuper@37906
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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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203 |
"--- 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
|
206 |
"--- s2 ---";
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neuper@37906
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207 |
(*val nxt = ("Add_Given",
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neuper@37906
|
208 |
Add_Given "functionTerm (d_d x (x ^^^ #2 + #3 * x + #4))");*)
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neuper@37906
|
209 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
210 |
"--- s3 ---";
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neuper@37906
|
211 |
(*val nxt = ("Add_Given",Add_Given "differentiateFor x");*)
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neuper@37906
|
212 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
213 |
"--- s4 ---";
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neuper@37994
|
214 |
(*val nxt = ("Add_Find",Add_Find "derivative f_f'");*)
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neuper@37906
|
215 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
216 |
"--- s5 ---";
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neuper@37906
|
217 |
(*val nxt = ("Specify_Theory",Specify_Theory dI');*)
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neuper@37906
|
218 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
219 |
"--- s6 ---";
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neuper@37906
|
220 |
(*val nxt = ("Specify_Problem",Specify_Problem pI');*)
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neuper@37906
|
221 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
222 |
"--- s7 ---";
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neuper@37906
|
223 |
(*val nxt = ("Specify_Method",Specify_Method mI');*)
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neuper@37906
|
224 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
225 |
"--- s8 ---";
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neuper@37906
|
226 |
(*val nxt = ("Apply_Method",Apply_Method mI');*)
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neuper@37906
|
227 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
228 |
"--- 1 ---";
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neuper@37906
|
229 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(bdv,x)"],("diff_sum","")));*)
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neuper@37906
|
230 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
231 |
"--- 2 ---";
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neuper@37906
|
232 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(bdv,x)"],("diff_sum","")));*)
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neuper@37906
|
233 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
234 |
(*val (p,_,f,nxt,_,pt) = me nxt p c pt;
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neuper@37906
|
235 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
|
236 |
"--- 3 ---";
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neuper@37906
|
237 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(bdv,x)"],("diff_prod_const",...;*)
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neuper@37906
|
238 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
239 |
(*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
|
240 |
"--- 4 ---";
|
neuper@37906
|
241 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(bdv,x)"],("diff_pow","")));*)
|
neuper@37906
|
242 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
243 |
(*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
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neuper@37906
|
244 |
"--- 5 ---";
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neuper@37906
|
245 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(bdv,x)"],("diff_prod_const",...;*)
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neuper@37906
|
246 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
247 |
(*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
|
neuper@37906
|
248 |
"--- 6 ---";
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neuper@37906
|
249 |
(*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(bdv,x)"],("diff_var","")));*)
|
neuper@37906
|
250 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
251 |
if f2str f = "2 * x ^^^ (2 - 1) + 3 * 1 + 0" then ()
|
neuper@38031
|
252 |
else error "diff.sml: diff.behav. in d_d x ^^^ 2 + 3 * x + 4";
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neuper@37906
|
253 |
"--- 7 ---";
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neuper@37906
|
254 |
(*------------------------------11.3.03--------------------
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neuper@37906
|
255 |
trace_rewrite:=true;
|
neuper@37906
|
256 |
val (_,_,f,_,_,_) = me nxt p c pt;
|
neuper@37906
|
257 |
val Form' (FormKF (_,_,_,_,res)) = f;
|
neuper@37906
|
258 |
trace_rewrite:=false;
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neuper@37906
|
259 |
|
neuper@37906
|
260 |
val ct = "2 * x ^^^ (2 - 1) + 3 * 1 + 0";
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neuper@37991
|
261 |
val SOME (ct',_) = rewrite_set "Isac" false "make_polynomial" ct;
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neuper@37906
|
262 |
|
neuper@37906
|
263 |
trace_rewrite:=true;
|
neuper@37906
|
264 |
val t = str2term ct;
|
neuper@37906
|
265 |
term2str t;
|
neuper@37926
|
266 |
val SOME (t',_) = rewrite_set_ Isac.thy false make_polynomial t;
|
neuper@37906
|
267 |
term2str t';
|
neuper@37906
|
268 |
trace_rewrite:=false;
|
neuper@37906
|
269 |
|
neuper@37926
|
270 |
val SOME (t'',_) = rewrite_set_ Isac.thy false make_polynomial t';
|
neuper@37906
|
271 |
term2str t'';
|
neuper@37906
|
272 |
|
neuper@37969
|
273 |
val thm = num_str @{thm realpow_eq_oneI;
|
neuper@37906
|
274 |
case string_of_thm thm of
|
neuper@37906
|
275 |
|
neuper@37906
|
276 |
|
neuper@37991
|
277 |
val Rewrite_Set' ("Diff",false,"make_polynomial",ff,(ff',[])) = m;
|
neuper@37906
|
278 |
term2str ff; term2str ff';
|
neuper@37906
|
279 |
|
neuper@37906
|
280 |
|
neuper@37906
|
281 |
|
neuper@37906
|
282 |
--------------------------------11.3.03--------------------*)
|
neuper@37906
|
283 |
|
neuper@37906
|
284 |
(*val nxt = ("Rewrite_Set",Rewrite_Set "make_polynomial");*)
|
neuper@37906
|
285 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
286 |
"--- 8 ---";
|
neuper@37906
|
287 |
(*val nxt =
|
neuper@37991
|
288 |
("Check_Postcond",Check_Postcond ("Diff","differentiate_on_R"));*)
|
neuper@37906
|
289 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
290 |
"--- 9 ---";
|
neuper@37906
|
291 |
(*val nxt = ("End_Proof'",End_Proof');*)
|
neuper@37906
|
292 |
val (p,_,f,nxt,_,pt) = me nxt p c pt; f2str f;
|
neuper@37906
|
293 |
if nxt = ("End_Proof'",End_Proof') andalso f2str f = "3 + 2 * x" then ()
|
neuper@38031
|
294 |
else error "diff.sml: new.behav. in me (*+ tacs input*)";
|
neuper@38031
|
295 |
(*if f = EmptyMout then () else error "new behaviour in + tacs input";
|
neuper@37906
|
296 |
meNEW extracts Form once more*)
|
neuper@37906
|
297 |
|
neuper@37906
|
298 |
|
neuper@37906
|
299 |
|
neuper@37906
|
300 |
|
neuper@37906
|
301 |
(*---------------- 1.5.02 -----------------------------------------
|
neuper@37906
|
302 |
|
neuper@37906
|
303 |
" _________________ script-eval corrected _________________ ";
|
neuper@37906
|
304 |
" _________________ script-eval corrected _________________ ";
|
neuper@37906
|
305 |
" _________________ script-eval corrected _________________ ";
|
neuper@37991
|
306 |
val scr = Script (((inst_abs (assoc_thy "Test")) o
|
neuper@37906
|
307 |
term_of o the o (parse Diff.thy))
|
neuper@37994
|
308 |
"Script Differentiate (f_f::real) (v_v::real) = \
|
neuper@37906
|
309 |
\(let f_ = Try (Repeat (Rewrite frac_conv False f_)); \
|
neuper@37906
|
310 |
\ f_ = Try (Repeat (Rewrite root_conv False f_)); \
|
neuper@37906
|
311 |
\ f_ = Repeat \
|
neuper@37991
|
312 |
\ ((Repeat (Rewrite_Inst [(bdv,v_v)] diff_sum False f_)) Or \
|
neuper@37991
|
313 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_prod_const False f_)) Or \
|
neuper@37991
|
314 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_prod False f_)) Or \
|
neuper@37991
|
315 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_quot False f_)) Or \
|
neuper@37991
|
316 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_sin False f_)) Or \
|
neuper@37991
|
317 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_sin_chain False f_)) Or \
|
neuper@37991
|
318 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_cos False f_)) Or \
|
neuper@37991
|
319 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_cos_chain False f_)) Or \
|
neuper@37991
|
320 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_pow False f_)) Or \
|
neuper@37991
|
321 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_pow_chain False f_)) Or \
|
neuper@37991
|
322 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_ln False f_)) Or \
|
neuper@37991
|
323 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_ln_chain False f_)) Or \
|
neuper@37991
|
324 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_exp False f_)) Or \
|
neuper@37991
|
325 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_exp_chain False f_)) Or \
|
neuper@37991
|
326 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_const False f_)) Or \
|
neuper@37991
|
327 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_var False f_)) Or \
|
neuper@37906
|
328 |
\ (Repeat (Rewrite_Set Test_simplify False f_))); \
|
neuper@37906
|
329 |
\ f_ = Try (Repeat (Rewrite sym_frac_conv False f_)) \
|
neuper@37906
|
330 |
\ in Try (Repeat (Rewrite sym_root_conv False f_)))");
|
neuper@37906
|
331 |
val d = e_rls;
|
neuper@37906
|
332 |
val (dI',pI',mI') =
|
neuper@37991
|
333 |
("Diff",e_pblID,
|
neuper@37991
|
334 |
("Diff","differentiate_on_R"));
|
neuper@37906
|
335 |
val p = e_pos'; val c = [];
|
neuper@37906
|
336 |
val (mI,m) = ("Init_Proof",Init_Proof ([], (dI',pI',mI')));
|
neuper@37906
|
337 |
val (p,_,_,_,_,pt) = me (mI,m) p c EmptyPtree;
|
neuper@37906
|
338 |
val nxt = ("Specify_Theory",Specify_Theory dI');
|
neuper@37906
|
339 |
val (p,_,_,_,_,pt) = me nxt p c pt;
|
neuper@37906
|
340 |
val nxt = ("Specify_Method",Specify_Method mI');
|
neuper@37906
|
341 |
val (p,_,_,_,_,pt) = me nxt p c pt;
|
neuper@37906
|
342 |
val p = ([1],Frm):pos';
|
neuper@37906
|
343 |
|
neuper@37906
|
344 |
|
neuper@37906
|
345 |
val parseee = (term_of o the o (parse Diff.thy));
|
neuper@37906
|
346 |
val ct = "d_d x (x ^^^ #2 + #3 * x + #4)";
|
neuper@37994
|
347 |
val envvv = [(parseee"f_f",parseee ct),(parseee"v_",parseee"x")];
|
neuper@37906
|
348 |
val ets0=[([],(Tac'(Script.thy,"BS","",""),envvv,envvv,empty,empty,Safe)),
|
neuper@37906
|
349 |
([],(User', [], [], empty, empty,Sundef))]:ets;
|
neuper@37906
|
350 |
val l0 = [];
|
neuper@37906
|
351 |
" --------------- 1. ---------------------------------------------";
|
neuper@37906
|
352 |
val (pt,_) = cappend_atomic pt[1]e_loc ct (Rewrite("test","")) ct Complete;
|
neuper@37906
|
353 |
val Appl m'=applicable_in p pt (Rewrite_Inst (["(bdv,x)"],("diff_sum","")));
|
neuper@37906
|
354 |
|
neuper@37991
|
355 |
val NextStep(l1,m') = nxt_tac "Diff" (pt,p) scr ets0 l0;
|
neuper@37906
|
356 |
(*("diff_sum","")*)
|
neuper@37906
|
357 |
val Steps[(Form' (FormKF (_,_,_,_,res)),pt,p,_,s,ets1)] =
|
neuper@37991
|
358 |
locate_gen "Diff" m' (pt,p) (scr,d) ets0 l0;
|
neuper@37906
|
359 |
val ets1 = (drop_last ets0) @ ets1;val pt = update_ets pt [] [(1,ets1)];
|
neuper@37906
|
360 |
" --------------- 2. ---------------------------------------------";
|
neuper@37906
|
361 |
val Appl m'=applicable_in p pt (Rewrite_Inst (["(bdv,x)"],("diff_sum","")));
|
neuper@37991
|
362 |
val NextStep(l2,m') = nxt_tac "Diff" (pt,p) scr ets1 l1;
|
neuper@37906
|
363 |
(*("diff_sum","")*)
|
neuper@37906
|
364 |
val Steps[(Form' (FormKF (_,_,_,_,res)),pt,p,_,s,ets2)] =
|
neuper@37991
|
365 |
locate_gen "Diff" m' (pt,p) (scr,d) ets1 l1;
|
neuper@37906
|
366 |
val ets2 = (drop_last ets1) @ ets2;val pt = update_ets pt [] [(1,ets2)];
|
neuper@37906
|
367 |
" --------------- 3. ---------------------------------------------";
|
neuper@37906
|
368 |
val Appl m'=applicable_in p pt (Rewrite_Inst (["(bdv,x)"],("diff_prod_const","")));
|
neuper@37991
|
369 |
val NextStep(l3,m') = nxt_tac "Diff" (pt,p) scr ets2 l2;
|
neuper@37906
|
370 |
(*("diff_prod_const","")*)
|
neuper@37906
|
371 |
val Steps[(Form' (FormKF (_,_,_,_,res)),pt,p,_,s,ets3)] =
|
neuper@37991
|
372 |
locate_gen "Diff" m' (pt,p) (scr,d) ets2 l2;
|
neuper@37906
|
373 |
val ets3 = (drop_last ets2) @ ets3; val pt = update_ets pt [] [(1,ets3)];
|
neuper@37906
|
374 |
" --------------- 4. ---------------------------------------------";
|
neuper@37906
|
375 |
val Appl m'=applicable_in p pt (Rewrite_Inst (["(bdv,x)"],("diff_pow","")));
|
neuper@37991
|
376 |
val NextStep(l4,m') = nxt_tac "Diff" (pt,p) scr ets3 l3;
|
neuper@37906
|
377 |
(*("diff_pow","")*)
|
neuper@37906
|
378 |
val Steps[(Form' (FormKF (_,_,_,_,res)),pt,p,_,s,ets4)] =
|
neuper@37991
|
379 |
locate_gen "Diff" m' (pt,p) (scr,d) ets3 l3;
|
neuper@37906
|
380 |
val ets4 = (drop_last ets3) @ ets4; val pt = update_ets pt [] [(1,ets4)];
|
neuper@37906
|
381 |
" --------------- 5. ---------------------------------------------";
|
neuper@37906
|
382 |
val Appl m'=applicable_in p pt (Rewrite_Inst (["(bdv,x)"],("diff_const","")));
|
neuper@37991
|
383 |
val NextStep(l5,m') = nxt_tac "Diff" (pt,p) scr ets4 l4;
|
neuper@37906
|
384 |
(*("diff_const","")*)
|
neuper@37906
|
385 |
val Steps[ (Form' (FormKF (_,_,_,_,res)),pt,p,_,s,ets5)] =
|
neuper@37991
|
386 |
locate_gen "Diff" m' (pt,p) (scr,d) ets4 l4;
|
neuper@37906
|
387 |
val ets5 = (drop_last ets4) @ ets5; val pt = update_ets pt [] [(1,ets5)];
|
neuper@37906
|
388 |
" --------------- 6. ---------------------------------------------";
|
neuper@37906
|
389 |
val Appl m'=applicable_in p pt (Rewrite_Inst (["(bdv,x)"],("diff_var","")));
|
neuper@37991
|
390 |
val NextStep(l6,m') = nxt_tac "Diff" (pt,p) scr ets5 l5;
|
neuper@37906
|
391 |
(*("diff_var","")ok; here was("diff_const","")because of wrong rule in *.thy*)
|
neuper@37906
|
392 |
val Steps[(Form' (FormKF (_,_,_,_,res)),pt,p,_,s,ets6)] =
|
neuper@37991
|
393 |
locate_gen "Diff" m' (pt,p) (scr,d) ets5 l5;
|
neuper@37906
|
394 |
val ets6 = (drop_last ets5) @ ets6; val pt = update_ets pt [] [(1,ets6)];
|
neuper@37906
|
395 |
" --------------- 7. ---------------------------------------------";
|
neuper@37906
|
396 |
val Appl m'=applicable_in p pt (Rewrite_Set "Test_simplify");
|
neuper@37906
|
397 |
|
neuper@37906
|
398 |
|
neuper@37906
|
399 |
---------------- 1.5.02 -----------------------------------------*)
|
neuper@37906
|
400 |
|
neuper@37906
|
401 |
|
neuper@37906
|
402 |
|
neuper@37906
|
403 |
|
neuper@37906
|
404 |
" ________________ differentiate stdin: student active________________ ";
|
neuper@37906
|
405 |
" ________________ differentiate stdin: student active________________ ";
|
neuper@37906
|
406 |
" ________________ differentiate stdin: student active________________ ";
|
neuper@37906
|
407 |
(*
|
neuper@37906
|
408 |
proofs:= []; dials:=([],[],[]);
|
neuper@37906
|
409 |
StdinSML 0 0 0 0 New_User;
|
neuper@37906
|
410 |
set_dstate 1 test_hide 4 1;(*SelRule,St..PutRuleRes,TskipS..*)
|
neuper@37906
|
411 |
StdinSML 1 0 0 0 New_Proof;
|
neuper@37906
|
412 |
val fmz = ["functionTerm (d_d x (x ^^^ 2 + 3 * x + 4))",
|
neuper@37994
|
413 |
"differentiateFor x","derivative f_f'"];
|
neuper@37906
|
414 |
val (dI',pI',mI') =
|
neuper@37991
|
415 |
("Diff",["derivative_of","function"],
|
neuper@37906
|
416 |
["diff","differentiate_on_R"]);
|
neuper@37906
|
417 |
*)
|
neuper@37906
|
418 |
|
neuper@37906
|
419 |
|
neuper@37906
|
420 |
" _________________ differentiate stdin: tutor active_________________ ";
|
neuper@37906
|
421 |
" _________________ differentiate stdin: tutor active_________________ ";
|
neuper@37906
|
422 |
" _________________ differentiate stdin: tutor active_________________ ";
|
neuper@37906
|
423 |
(*proofs:= []; dials:=([],[],[]);
|
neuper@37906
|
424 |
StdinSML 0 0 0 0 New_User;
|
neuper@37906
|
425 |
set_dstate 1 test_hide 0 2;(*PutRule,TskipS..PutRuleRes,Tt..*)
|
neuper@37906
|
426 |
StdinSML 1 0 0 0 New_Proof;
|
neuper@37906
|
427 |
val fmz = ["functionTerm (d_d x (x ^^^ 2 + 3 * x + 4))",
|
neuper@37994
|
428 |
"differentiateFor x","derivative f_f'"];
|
neuper@37906
|
429 |
val (dI',pI',mI') =
|
neuper@37991
|
430 |
("Diff",["derivative_of","function"],
|
neuper@37906
|
431 |
["diff","differentiate_on_R"]);
|
neuper@37906
|
432 |
*)
|
neuper@37906
|
433 |
|
neuper@37906
|
434 |
|
neuper@37906
|
435 |
"---------------------1.5.02 me from script ---------------------";
|
neuper@37906
|
436 |
"---------------------1.5.02 me from script ---------------------";
|
neuper@37906
|
437 |
"---------------------1.5.02 me from script ---------------------";
|
neuper@37906
|
438 |
(*exp_Diff_No-1.xml*)
|
neuper@37906
|
439 |
val fmz = ["functionTerm (x ^^^ 2 + 3 * x + 4)",
|
neuper@37994
|
440 |
"differentiateFor x","derivative f_f'"];
|
neuper@37906
|
441 |
val (dI',pI',mI') =
|
neuper@37991
|
442 |
("Diff",["derivative_of","function"],
|
neuper@37906
|
443 |
["diff","diff_simpl"]);
|
neuper@37906
|
444 |
(*val p = e_pos'; val c = [];
|
neuper@37906
|
445 |
val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
|
neuper@37906
|
446 |
val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
|
neuper@37906
|
447 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
|
neuper@37906
|
448 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
449 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
450 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
451 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
452 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
453 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
454 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37991
|
455 |
(*nxt = ("Apply_Method",Apply_Method ("Diff","differentiate_on_R*)
|
neuper@37906
|
456 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
457 |
|
neuper@37906
|
458 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
459 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
460 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
461 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
462 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
463 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
464 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
465 |
val (p,_,f,nxt,_,pt) = me nxt p c pt;
|
neuper@37906
|
466 |
if nxt = ("End_Proof'",End_Proof') then ()
|
neuper@38031
|
467 |
else error "new behaviour in tests/differentiate, 1.5.02 me from script";
|
neuper@37906
|
468 |
|
neuper@37906
|
469 |
"----------- primed id -------------------------------------------";
|
neuper@37906
|
470 |
"----------- primed id -------------------------------------------";
|
neuper@37906
|
471 |
"----------- primed id -------------------------------------------";
|
neuper@37906
|
472 |
|
neuper@37994
|
473 |
val f_ = str2term "f_f::bool";
|
neuper@37906
|
474 |
val f = str2term "A = s * (a - s)";
|
neuper@37981
|
475 |
val v_v = str2term "v_";
|
neuper@37906
|
476 |
val v = str2term "s";
|
neuper@37981
|
477 |
val screxp0 = str2term "Take ((primed (lhs f_)) = d_d v_v (rhs f_))";
|
neuper@37906
|
478 |
atomty screxp0;
|
neuper@37906
|
479 |
|
neuper@37994
|
480 |
val screxp1 = subst_atomic [(f_f, f), (v_, v)] screxp0;
|
neuper@37906
|
481 |
term2str screxp1;
|
neuper@37906
|
482 |
atomty screxp1;
|
neuper@37906
|
483 |
|
neuper@37926
|
484 |
val SOME (f'_,_) = rewrite_set_ Isac.thy false srls_diff screxp1;
|
neuper@37906
|
485 |
if term2str f'_= "Take (A' = d_d s (s * (a - s)))" then ()
|
neuper@38031
|
486 |
else error "diff.sml: diff.behav. in 'primed'";
|
neuper@37906
|
487 |
atomty f'_;
|
neuper@37906
|
488 |
|
neuper@37994
|
489 |
val str = "Script DiffEqScr (f_f::bool) (v_v::real) = \
|
neuper@37994
|
490 |
\ (let f_f' = Take ((primed (lhs f_)) = d_d v_v (rhs f_)) \
|
neuper@37906
|
491 |
\ in (((Try (Repeat (Rewrite frac_conv False))) @@ \
|
neuper@37906
|
492 |
\ (Try (Repeat (Rewrite root_conv False))) @@ \
|
neuper@37906
|
493 |
\ (Try (Repeat (Rewrite realpow_pow False))) @@ \
|
neuper@37906
|
494 |
\ (Repeat \
|
neuper@37991
|
495 |
\ ((Repeat (Rewrite_Inst [(bdv,v_v)] diff_sum False)) Or \
|
neuper@37991
|
496 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_prod_const False)) Or \
|
neuper@37991
|
497 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_prod False)) Or \
|
neuper@37991
|
498 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_quot True )) Or \
|
neuper@37991
|
499 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_sin False)) Or \
|
neuper@37991
|
500 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_sin_chain False)) Or \
|
neuper@37991
|
501 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_cos False)) Or \
|
neuper@37991
|
502 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_cos_chain False)) Or \
|
neuper@37991
|
503 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_pow False)) Or \
|
neuper@37991
|
504 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_pow_chain False)) Or \
|
neuper@37991
|
505 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_ln False)) Or \
|
neuper@37991
|
506 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_ln_chain False)) Or \
|
neuper@37991
|
507 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_exp False)) Or \
|
neuper@37991
|
508 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_exp_chain False)) Or \
|
neuper@37991
|
509 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_sqrt False)) Or \
|
neuper@37991
|
510 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_sqrt_chain False)) Or \
|
neuper@37991
|
511 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_const False)) Or \
|
neuper@37991
|
512 |
\ (Repeat (Rewrite_Inst [(bdv,v_v)] diff_var False)) Or \
|
neuper@37906
|
513 |
\ (Repeat (Rewrite_Set make_polynomial False)))) @@ \
|
neuper@37906
|
514 |
\ (Try (Repeat (Rewrite sym_frac_conv False))) @@ \
|
neuper@37994
|
515 |
\ (Try (Repeat (Rewrite sym_root_conv False))))) f_f')"
|
neuper@37906
|
516 |
;
|
neuper@37906
|
517 |
val sc = ((inst_abs thy) o term_of o the o (parse thy)) str;
|
neuper@37906
|
518 |
|
neuper@37906
|
519 |
|
neuper@37906
|
520 |
"----------- diff_conv, sym_diff_conv ----------------------------";
|
neuper@37906
|
521 |
"----------- diff_conv, sym_diff_conv ----------------------------";
|
neuper@37906
|
522 |
"----------- diff_conv, sym_diff_conv ----------------------------";
|
neuper@37906
|
523 |
val subs = [(str2term "bdv", str2term "x")];
|
neuper@37906
|
524 |
val rls = diff_conv;
|
neuper@37906
|
525 |
|
neuper@37906
|
526 |
val t = str2term "2/x^^^2";
|
neuper@37926
|
527 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; term2str t;
|
neuper@38031
|
528 |
if term2str t = "2 * x ^^^ -2" then () else error "diff.sml 1/x";
|
neuper@37906
|
529 |
|
neuper@37906
|
530 |
val t = str2term "sqrt (x^^^3)";
|
neuper@37926
|
531 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; term2str t;
|
neuper@38031
|
532 |
if term2str t = "x ^^^ (3 / 2)" then () else error "diff.sml x^1/2";
|
neuper@37906
|
533 |
|
neuper@37906
|
534 |
val t = str2term "2 / sqrt x^^^3";
|
neuper@37926
|
535 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; term2str t;
|
neuper@38031
|
536 |
if term2str t = "2 * x ^^^ (-3 / 2)" then () else error"diff.sml x^-1/2";
|
neuper@37906
|
537 |
(* trace_rewrite := true;
|
neuper@37906
|
538 |
trace_rewrite := false;
|
neuper@37906
|
539 |
*)
|
neuper@37906
|
540 |
val rls = diff_sym_conv;
|
neuper@37906
|
541 |
|
neuper@37906
|
542 |
val t = str2term "2 * x ^^^ -2";
|
neuper@37926
|
543 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; term2str t;
|
neuper@38031
|
544 |
if term2str t = "2 / x ^^^ 2" then () else error "diff.sml sym 1/x";
|
neuper@37906
|
545 |
|
neuper@37906
|
546 |
|
neuper@37906
|
547 |
val t = str2term "x ^^^ (3 / 2)";
|
neuper@37926
|
548 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; term2str t;
|
neuper@38031
|
549 |
if term2str t = "sqrt (x ^^^ 3)" then () else error"diff.sml sym x^1/x";
|
neuper@37906
|
550 |
|
neuper@37906
|
551 |
val t = str2term "2 * x ^^^ (-3 / 2)";
|
neuper@37926
|
552 |
val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; term2str t;
|
neuper@38031
|
553 |
if term2str t ="2 / sqrt (x ^^^ 3)"then()else error"diff.sml sym x^-1/x";
|
neuper@37906
|
554 |
|
neuper@37906
|
555 |
|
neuper@37906
|
556 |
(* trace_rewrite:=true;
|
neuper@37906
|
557 |
*)
|
neuper@37906
|
558 |
(* trace_rewrite:=false;
|
neuper@37906
|
559 |
*)
|
neuper@37906
|
560 |
(*@@@@*)
|
neuper@37906
|
561 |
|
neuper@37906
|
562 |
|
neuper@37906
|
563 |
"----------- autoCalculate differentiate_on_R 2/x^2 --------------";
|
neuper@37906
|
564 |
"----------- autoCalculate differentiate_on_R 2/x^2 --------------";
|
neuper@37906
|
565 |
"----------- autoCalculate differentiate_on_R 2/x^2 --------------";
|
neuper@37906
|
566 |
states:=[];
|
neuper@37906
|
567 |
CalcTree
|
neuper@37906
|
568 |
[(["functionTerm (x^2 + x+ 1/x + 2/x^2)",
|
neuper@37906
|
569 |
(*"functionTerm ((x^3)^5)",*)
|
neuper@37994
|
570 |
"differentiateFor x", "derivative f_f'"],
|
neuper@37991
|
571 |
("Isac", ["derivative_of","function"],
|
neuper@37906
|
572 |
["diff","differentiate_on_R"]))];
|
neuper@37906
|
573 |
Iterator 1;
|
neuper@37906
|
574 |
moveActiveRoot 1;
|
neuper@37906
|
575 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
576 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
577 |
if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) =
|
neuper@37906
|
578 |
"1 + 2 * x + -1 / x ^^^ 2 + -4 / x ^^^ 3" then ()
|
neuper@38031
|
579 |
else error "diff.sml: differentiate_on_R 2/x^2 changed";
|
neuper@37906
|
580 |
|
neuper@37906
|
581 |
"-----------------------------------------------------------------";
|
neuper@37906
|
582 |
states:=[];
|
neuper@37906
|
583 |
CalcTree
|
neuper@37906
|
584 |
[(["functionTerm (x^3 * x^5)",
|
neuper@37994
|
585 |
"differentiateFor x", "derivative f_f'"],
|
neuper@37991
|
586 |
("Isac", ["derivative_of","function"],
|
neuper@37906
|
587 |
["diff","differentiate_on_R"]))];
|
neuper@37906
|
588 |
Iterator 1;
|
neuper@37906
|
589 |
moveActiveRoot 1;
|
neuper@37906
|
590 |
(* trace_rewrite := true;
|
neuper@37906
|
591 |
trace_script := true;
|
neuper@37906
|
592 |
*)
|
neuper@37906
|
593 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
594 |
(* trace_rewrite := false;
|
neuper@37906
|
595 |
trace_script := false;
|
neuper@37906
|
596 |
*)
|
neuper@37906
|
597 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
598 |
|
neuper@37906
|
599 |
if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) =
|
neuper@37906
|
600 |
"8 * x ^^^ 7" then ()
|
neuper@38031
|
601 |
else error "diff.sml: differentiate_on_R (x^3 * x^5) changed";
|
neuper@37906
|
602 |
|
neuper@37906
|
603 |
|
neuper@37906
|
604 |
"----------- autoCalculate diff after_simplification -------------";
|
neuper@37906
|
605 |
"----------- autoCalculate diff after_simplification -------------";
|
neuper@37906
|
606 |
"----------- autoCalculate diff after_simplification -------------";
|
neuper@37906
|
607 |
states:=[];
|
neuper@37906
|
608 |
CalcTree
|
neuper@37906
|
609 |
[(["functionTerm (x^3 * x^5)",
|
neuper@37994
|
610 |
"differentiateFor x", "derivative f_f'"],
|
neuper@37991
|
611 |
("Isac", ["derivative_of","function"],
|
neuper@37906
|
612 |
["diff","after_simplification"]))];
|
neuper@37906
|
613 |
Iterator 1;
|
neuper@37906
|
614 |
moveActiveRoot 1;
|
neuper@37906
|
615 |
(* trace_rewrite := true;
|
neuper@37906
|
616 |
trace_script := true;
|
neuper@37906
|
617 |
*)
|
neuper@37906
|
618 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
619 |
(* trace_rewrite := false;
|
neuper@37906
|
620 |
trace_script := false;
|
neuper@37906
|
621 |
*)
|
neuper@37906
|
622 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
623 |
if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) = "8 * x ^^^ 7"
|
neuper@38031
|
624 |
then () else error "biegelinie.sml: 1st biegelin.7.27 changed";
|
neuper@37906
|
625 |
|
neuper@37906
|
626 |
"-----------------------------------------------------------------";
|
neuper@37906
|
627 |
states:=[];
|
neuper@37906
|
628 |
CalcTree
|
neuper@37906
|
629 |
[(["functionTerm ((x^3)^5)",
|
neuper@37994
|
630 |
"differentiateFor x", "derivative f_f'"],
|
neuper@37991
|
631 |
("Isac", ["derivative_of","function"],
|
neuper@37906
|
632 |
["diff","after_simplification"]))];
|
neuper@37906
|
633 |
Iterator 1;
|
neuper@37906
|
634 |
moveActiveRoot 1;
|
neuper@37906
|
635 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
636 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
637 |
if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) = "15 * x ^^^ 14"
|
neuper@38031
|
638 |
then () else error "biegelinie.sml: 1st biegelin.7.27 changed";
|
neuper@37906
|
639 |
|
neuper@37906
|
640 |
|
neuper@37906
|
641 |
|
neuper@37906
|
642 |
"----------- autoCalculate differentiate_equality ----------------";
|
neuper@37906
|
643 |
"----------- autoCalculate differentiate_equality ----------------";
|
neuper@37906
|
644 |
"----------- autoCalculate differentiate_equality ----------------";
|
neuper@37906
|
645 |
states:=[];
|
neuper@37906
|
646 |
CalcTree
|
neuper@37994
|
647 |
[(["functionEq (A = s * (a - s))", "differentiateFor s", "derivativeEq f_f'"],
|
neuper@37991
|
648 |
("Isac", ["named","derivative_of","function"],
|
neuper@37906
|
649 |
["diff","differentiate_equality"]))];
|
neuper@37906
|
650 |
Iterator 1;
|
neuper@37906
|
651 |
moveActiveRoot 1;
|
neuper@37906
|
652 |
autoCalculate 1 CompleteCalc;
|
neuper@37906
|
653 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
654 |
|
neuper@37906
|
655 |
|
neuper@37906
|
656 |
"----------- tests for examples ----------------------------------";
|
neuper@37906
|
657 |
"----------- tests for examples ----------------------------------";
|
neuper@37906
|
658 |
"----------- tests for examples ----------------------------------";
|
neuper@37906
|
659 |
"----- parse errors";
|
neuper@37906
|
660 |
(*str2term "F = sqrt( y^2 - O) * (z + O^2)";
|
neuper@37906
|
661 |
str2term "O";*)
|
neuper@37906
|
662 |
str2term "OO";
|
neuper@37906
|
663 |
|
neuper@37906
|
664 |
"----- thm 'diff_prod_const'";
|
neuper@37906
|
665 |
val subs = [(str2term "bdv", str2term "l")];
|
neuper@37906
|
666 |
val f = str2term "G' = d_d l (l * sqrt (7 * s ^ 2 - l ^ 2))";
|
neuper@37906
|
667 |
(*
|
neuper@37906
|
668 |
trace_rewrite := true;
|
neuper@37906
|
669 |
rewrite_inst_ Isac.thy tless_true erls_diff true subs diff_prod_const f;
|
neuper@37906
|
670 |
trace_rewrite := false;
|
neuper@37906
|
671 |
*)
|
neuper@37906
|
672 |
|
neuper@37906
|
673 |
"------------inform for x^2+x+1 ----------------------------------";
|
neuper@37906
|
674 |
"------------inform for x^2+x+1 ----------------------------------";
|
neuper@37906
|
675 |
"------------inform for x^2+x+1 ----------------------------------";
|
neuper@37906
|
676 |
states:=[];
|
neuper@37906
|
677 |
CalcTree
|
neuper@37906
|
678 |
[(["functionTerm (x^2 + x + 1)",
|
neuper@37994
|
679 |
"differentiateFor x", "derivative f_f'"],
|
neuper@37991
|
680 |
("Isac", ["derivative_of","function"],
|
neuper@37906
|
681 |
["diff","differentiate_on_R"]))];
|
neuper@37906
|
682 |
Iterator 1;
|
neuper@37906
|
683 |
moveActiveRoot 1;
|
neuper@37906
|
684 |
autoCalculate 1 CompleteCalcHead;
|
neuper@37906
|
685 |
autoCalculate 1 (Step 1);
|
neuper@37906
|
686 |
autoCalculate 1 (Step 1);
|
neuper@37906
|
687 |
autoCalculate 1 (Step 1);
|
neuper@37906
|
688 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
689 |
appendFormula 1 "2*x + d_d x x + d_d x 1";
|
neuper@37906
|
690 |
val ((pt,p),_) = get_calc 1; show_pt pt;
|
neuper@37906
|
691 |
if existpt' ([3], Res) pt then ()
|
neuper@38031
|
692 |
else error "diff.sml: inform d_d x (x^2 + x + 1) doesnt work";
|