neuper@37906
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1 |
(* tests for ME/script.sml
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neuper@37906
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2 |
WN.13.3.00
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neuper@37906
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3 |
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neuper@37906
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4 |
WN050908 OLD FILE, MERGE WITH smltest/ME/script.sml
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neuper@37906
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5 |
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neuper@37906
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6 |
use"systest/script.sml";
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neuper@37906
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use"script.sml";
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neuper@37906
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8 |
*)
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neuper@37906
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9 |
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neuper@37906
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10 |
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neuper@37906
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11 |
" scripts: Variante 'funktional' ";
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neuper@37906
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12 |
"############## Make_fun_by_new_variable ##############";
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neuper@37906
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"############## Make_fun_by_explicit ##############";
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neuper@37906
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"################ Solve_root_equation #################";
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neuper@37906
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"------- Notlocatable: Free_Solve -------";
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neuper@37906
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16 |
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neuper@37906
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" --- test100: nxt_tac order------------------------------------ ";
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neuper@37906
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" --- test100: order 1 3 1 2 ----------------------------------- ";
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neuper@37906
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19 |
" --- test200: nxt_tac order ------------------------------------- ";
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neuper@37906
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20 |
" --- test200: order 3 1 1 2 --------------------------------- ";
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neuper@37906
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21 |
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neuper@37906
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" --- root-equation: nxt_tac order------------------------------ ";
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neuper@37906
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" --- root-equation: 1.norm_equation ------------------------------ ";
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neuper@37906
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(* --- test200: calculate -----------------------------------------*)
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neuper@37906
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" --- check_elementwise ------------------------------ ";
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neuper@37906
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26 |
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neuper@37906
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27 |
" --- test 30.4.02 Testterm: Repeat Repeat Or ------------------ ";
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walther@59637
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28 |
" --- test 9.5.02 Testeq: While Try Repeat #> ------------------ ";
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neuper@37906
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29 |
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walther@59823
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30 |
"--------- from_prog ---------------------------------------------";
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neuper@37906
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31 |
"-----------------------------------------------------------------";
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neuper@37906
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32 |
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neuper@37906
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33 |
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neuper@37906
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34 |
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neuper@37906
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35 |
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neuper@37906
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36 |
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neuper@37906
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37 |
" ################################################# 6.5.03";
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neuper@37906
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38 |
" scripts: Variante 'funktional' 6.5.03";
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neuper@37906
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39 |
" ################################################# 6.5.03 ";
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neuper@37906
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40 |
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neuper@37906
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41 |
val c = (the o (parse DiffApp.thy))
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wneuper@59585
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"Program Maximum_value(fix_::bool list)(m_::real) (rs_::bool list)\
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neuper@37906
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\ (v_::real) (itv_::real set) (err_::bool) = \
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neuper@37981
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\ (let e_e = (hd o (filterVar m_)) rs_; \
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neuper@37906
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\ t_ = (if 1 < length_ rs_ \
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wneuper@59476
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\ then (SubProblem (Reals_s,[make,function],[no_met])\
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neuper@37984
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\ [REAL m_, REAL v_v, BOOL_LIST rs_])\
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neuper@37906
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\ else (hd rs_)); \
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wneuper@59476
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\ (mx_::real) = SubProblem (Reals_s,[on_interval,max_of,function], \
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neuper@37906
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\ [Isac,maximum_on_interval])\
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neuper@37984
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\ [BOOL t_, REAL v_v, REAL_SET itv_]\
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wneuper@59476
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\ in ((SubProblem (Reals_s,[find_values,tool],[Isac,find_values]) \
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neuper@37984
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\ [REAL mx_, REAL (Rhs t_), REAL v_v, REAL m_, \
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neuper@37984
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\ BOOL_LIST (dropWhile (ident e_e) rs_)])::bool list))";
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neuper@37906
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55 |
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neuper@37906
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56 |
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neuper@37906
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"################################################### 6.5.03";
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neuper@37906
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"############## Make_fun_by_new_variable ########### 6.5.03";
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neuper@37906
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"################################################### 6.5.03";
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neuper@37906
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60 |
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neuper@37906
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val sc = (the o (parse DiffApp.thy)) (*start interpretieren*)
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wneuper@59585
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"Program Make_fun_by_new_variable (f_::real) (v_::real) \
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neuper@37906
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\ (eqs_::bool list) = \
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neuper@37906
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\(let h_ = (hd o (filterVar f_)) eqs_; \
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neuper@37906
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\ es_ = dropWhile (ident h_) eqs_; \
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neuper@37906
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\ vs_ = dropWhile (ident f_) (Vars h_); \
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neuper@37906
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\ v_1 = nth_ 1 vs_; \
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neuper@37906
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\ v_2 = nth_ 2 vs_; \
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neuper@37906
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\ e_1 = (hd o (filterVar v_1)) es_; \
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neuper@37906
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\ e_2 = (hd o (filterVar v_2)) es_; \
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wneuper@59476
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\ (s_1::bool list) = (SubProblem (Reals_s,[univar,equation],[no_met])\
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neuper@37984
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\ [BOOL e_1, REAL v_1]);\
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wneuper@59476
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\ (s_2::bool list) = (SubProblem (Reals_s,[univar,equation],[no_met])\
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neuper@37984
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\ [BOOL e_2, REAL v_2])\
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neuper@37906
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\in Substitute [(v_1 = (rhs o hd) s_1),(v_2 = (rhs o hd) s_2)] h_)";
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neuper@37906
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wneuper@59188
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val ags = map (Thm.term_of o the o (parse DiffApp.thy))
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neuper@37906
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["A::real", "alpha::real",
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wneuper@59582
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"[A=a*b, a/2=r*sin alpha, b/2=r*cos (alpha::real)]"];
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neuper@37906
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val ll = [](*:loc_*);
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neuper@37906
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(* problem with exn PTREE + eval_to -------------------------
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neuper@37906
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"-------------- subproblem with empty formalizaton -------";
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neuper@37906
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val (mI1,m1) =
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neuper@37906
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("Subproblem", tac2tac_ pt p
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neuper@37906
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(Subproblem (("Reals",["univar","equation","test"],
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neuper@37906
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(""(*"ANDERN !!!!!!!*),"no_met")),[])));
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neuper@37906
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val (mI2,m2) = (mI1,m1);
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neuper@37906
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val (mI3,m3) =
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neuper@37906
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("Substitute", tac2tac_ pt p
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neuper@37906
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(Substitute [("a","#2*r*sin alpha"),("b","#2*r*cos alpha")]));
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neuper@37906
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"------- same_tacpbl + eval_to -------";
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neuper@37926
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val SOME(l1,t1) = same_tacpbl sc ll (mI1,m1);
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neuper@37906
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loc_2str l1;
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neuper@37906
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(*"[R, R, D, R, D, R, D, R, D, R, D, R, D, R, D, L, R]"*)
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walther@59854
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Syntax.string_of_term (ThyC.thy2ctxt' "DiffApp") t1;
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neuper@37906
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(*"solve_univar (Reals, [univar, equation], no_met) B.1 B.3 "?6 ?4 *)
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neuper@37906
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neuper@37926
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val SOME(l2,t2) = same_tacpbl sc l1 (mI2,m2);
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neuper@37906
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loc_2str l2;
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neuper@37906
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(*"[R, R, D, R, D, R, D, R, D, R, D, R, D, R, D, R, D, L, R]"*)
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walther@59854
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Syntax.string_of_term (ThyC.thy2ctxt' "DiffApp") t2;
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neuper@37906
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(*"solve_univar (Reals, [univar, equation], no_met) B.1 B.3 "?7 ?3 *)
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neuper@37906
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neuper@37926
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val SOME(l3,t3) = same_tacpbl sc l2 (mI3,m3);
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neuper@37906
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loc_2str l3;
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neuper@37906
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(*"[R, R, D, R, D, R, D, R, D, R, D, R, D, R, D, R, D, R, D]"*)
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walther@59854
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Syntax.string_of_term (ThyC.thy2ctxt' "DiffApp") t3;
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neuper@37906
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(*"Substitute [(v_1, (Rhs o hd) B.1), (v_2, (Rhs o hd) B.0)] B.8"*)
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neuper@37906
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109 |
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neuper@37906
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110 |
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neuper@37906
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"------- eq_tacIDs + eq_consts + eval_args -------";
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neuper@37906
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val eq_ids = eq_tacIDs (*start-loc_*)[] sc (mI,m) [];
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neuper@37906
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val eq_cons = filter (eq_consts m) eq_ids;
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neuper@37906
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val Ready (l,(_,m)::_,_) = eval_args sc (mI,m) [(1,ags)] eq_cons;
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neuper@37906
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"------- locate -------";
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neuper@37906
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116 |
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neuper@37906
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117 |
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neuper@37906
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"-------------- subproblem with formalizaton -------";
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neuper@37906
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val (mI,m) =
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neuper@37906
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("Subproblem", tac2tac_ pt []
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neuper@37906
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(Subproblem (("Reals",["univar","equation","test"],
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neuper@37906
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(""(*"ANDERN !!!!!!!*),"no_met")),
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neuper@37906
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["a//#2=r*sin alpha","a"])));
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neuper@37906
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"------- same_tacpbl + eval_to -------";
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neuper@37906
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125 |
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neuper@37906
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126 |
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neuper@37906
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"------- eq_tacIDs + eq_consts + eval_args -------";
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neuper@37906
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val eq_ids = eq_tacIDs [] sc (mI,m) [];
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neuper@37906
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val eq_cons = filter (eq_consts m) eq_ids;
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neuper@37906
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val Ready (l,(_,m)::_,_) = eval_args sc (mI,m) [(1,ags)] eq_cons;
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neuper@37906
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131 |
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neuper@37906
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neuper@37906
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"------- locate -------";
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neuper@37906
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134 |
-------------------------------------------------------*)
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neuper@37906
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(* use"ME/script.sml";
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neuper@37906
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use"test-script.sml";
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neuper@37906
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137 |
*)
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neuper@37906
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138 |
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neuper@37906
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139 |
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neuper@37906
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140 |
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neuper@37906
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"############## Make_fun_by_explicit ############## 6.5.03";
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neuper@37906
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142 |
"############## Make_fun_by_explicit ############## 6.5.03";
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neuper@37906
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143 |
"############## Make_fun_by_explicit ############## 6.5.03";
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neuper@37906
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144 |
val c = (the o (parse DiffApp.thy))
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wneuper@59585
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145 |
"Program Make_fun_by_explicit (f_::real) (v_::real) \
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neuper@37906
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146 |
\ (eqs_::bool list) = \
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neuper@37906
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147 |
\ (let h_ = (hd o (filterVar f_)) eqs_; \
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neuper@37906
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148 |
\ e_1 = hd (dropWhile (ident h_) eqs_); \
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neuper@37906
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149 |
\ vs_ = dropWhile (ident f_) (Vars h_); \
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neuper@37981
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150 |
\ v_1 = hd (dropWhile (ident v_v) vs_); \
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wneuper@59476
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151 |
\ (s_1::bool list)=(SubProblem(Reals_s,[univar,equation],[no_met])\
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neuper@37984
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152 |
\ [BOOL e_1, REAL v_1])\
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neuper@37906
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153 |
\ in Substitute [(v_1 = (rhs o hd) s_1)] h_)";
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neuper@37906
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154 |
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neuper@37906
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155 |
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neuper@37906
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156 |
(*#####################################################--------11.5.02
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neuper@37906
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157 |
"################ Solve_root_equation #################";
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neuper@37906
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158 |
(*#####################################################*)
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wneuper@59188
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159 |
val sc = (Thm.term_of o the o (parse Test.thy))
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wneuper@59585
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160 |
"Program Solve_root_equation (eq_::bool) (v_::real) (err_::bool) =\
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neuper@37981
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161 |
\ (let e_e = Rewrite square_equation_left True eq_; \
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neuper@37981
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162 |
\ e_e = Rewrite_Set Test_simplify False e_; \
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neuper@37981
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163 |
\ e_e = Rewrite_Set rearrange_assoc False e_; \
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neuper@37981
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164 |
\ e_e = Rewrite_Set isolate_root False e_; \
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neuper@37981
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165 |
\ e_e = Rewrite_Set Test_simplify False e_; \
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neuper@37906
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166 |
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neuper@37981
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167 |
\ e_e = Rewrite square_equation_left True e_; \
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neuper@37981
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168 |
\ e_e = Rewrite_Set Test_simplify False e_; \
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neuper@37906
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169 |
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neuper@37981
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170 |
\ e_e = Rewrite_Set norm_equation False e_; \
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neuper@37981
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171 |
\ e_e = Rewrite_Set Test_simplify False e_; \
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wneuper@59497
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172 |
\ e_e = Rewrite_Set_Inst [(''bdv'',v_)] isolate_bdv False e_;\
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neuper@37981
|
173 |
\ e_e = Rewrite_Set Test_simplify False e_e \
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neuper@37906
|
174 |
\ in [e_::bool])";
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wneuper@59188
|
175 |
val ags = map (Thm.term_of o the o (parse Test.thy))
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neuper@37906
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176 |
["sqrt(#9+#4*x)=sqrt x + sqrt(#5+x)", "x::real","#0"];
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neuper@37906
|
177 |
val fmz =
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neuper@37906
|
178 |
["equality (sqrt(#9+#4*x)=sqrt x + sqrt(#5+x))",
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neuper@37906
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179 |
"solveFor x","errorBound (eps = #0)","solutions v_i_"];
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neuper@37906
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180 |
----------------------------------------------------------------11.5.02...*)
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neuper@37906
|
181 |
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neuper@37906
|
182 |
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walther@59814
|
183 |
(*################################# me raises exception with not-locatable
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neuper@37906
|
184 |
"--------------------- Notlocatable: Free_Solve ---------------------";
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neuper@37906
|
185 |
"--------------------- Notlocatable: Free_Solve ---------------------";
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neuper@37906
|
186 |
"--------------------- Notlocatable: Free_Solve ---------------------";
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neuper@37906
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187 |
val fmz = [];
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neuper@37906
|
188 |
val (dI',pI',mI') =
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neuper@38058
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189 |
("Test",["sqroot-test","univariate","equation","test"],
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neuper@37906
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190 |
["Test","sqrt-equ-test"]);
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neuper@37906
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191 |
(*val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
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neuper@37906
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192 |
val (p,_,f,nxt,_,pt) = me (mI,m) e_pos'[1] EmptyPtree;*)
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neuper@37906
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193 |
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neuper@37906
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194 |
val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
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neuper@37906
|
195 |
val nxt = ("Model_Problem",
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neuper@37906
|
196 |
Model_Problem ["sqroot-test","univariate","equation","test"]);
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neuper@37906
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197 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
198 |
val nxt =
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neuper@37906
|
199 |
("Add_Given",
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neuper@37906
|
200 |
Add_Given "equality (sqrt (9 + 4 * x) = sqrt x + sqrt (5 + x))");
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neuper@37906
|
201 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
202 |
val nxt = ("Add_Given",Add_Given "solveFor x");
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neuper@37906
|
203 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
204 |
val nxt = ("Add_Given",Add_Given "errorBound (eps = 0)");
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neuper@37906
|
205 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
206 |
val nxt = ("Add_Find",Add_Find "solutions v_i_");
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neuper@37906
|
207 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@38058
|
208 |
val nxt = ("Specify_Theory",Specify_Theory "Test");
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neuper@37906
|
209 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
210 |
val nxt =
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neuper@37906
|
211 |
("Specify_Problem",Specify_Problem ["sqroot-test","univariate","equation","test"]);
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neuper@37906
|
212 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
213 |
val nxt = ("Specify_Method",Specify_Method ["Test","sqrt-equ-test"]);
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neuper@37906
|
214 |
val (p,_,f,nxt,_,pt) = me nxt p [1] pt;
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neuper@37906
|
215 |
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neuper@37906
|
216 |
"--- -1 ---";
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neuper@37906
|
217 |
val nxt = ("Free_Solve",Free_Solve);
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neuper@37906
|
218 |
val (p,_,f,nxt,_,pt) = me nxt p [] pt;
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neuper@37906
|
219 |
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neuper@37906
|
220 |
"--- 0 ---";
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neuper@37906
|
221 |
val nxt = ("Take",Take "sqrt(9+4*x)=sqrt x + sqrt(5+x)");
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neuper@37906
|
222 |
val (p,_,f,nxt,_,pt) = me nxt p [] pt;
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neuper@37906
|
223 |
(*me ("Begin_Trans" ////*)
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neuper@37906
|
224 |
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neuper@37906
|
225 |
"--- 1 ---";
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neuper@37906
|
226 |
val nxt = ("Rewrite_Asm",Rewrite_Asm ("square_equation_left",""));
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neuper@37906
|
227 |
val (p,_,f,nxt,_,pt) = me nxt p [] pt;
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neuper@37906
|
228 |
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neuper@37906
|
229 |
"--- 2 ---";
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neuper@37906
|
230 |
val nxt = ("Rewrite_Set",Rewrite_Set "Test_simplify");
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neuper@37906
|
231 |
val (p,_,f,nxt,_,pt) = me nxt p [] pt;
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neuper@37906
|
232 |
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neuper@37906
|
233 |
"--- 3 ---";
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neuper@37906
|
234 |
val nxt = ("Rewrite_Set",Rewrite_Set "rearrange_assoc");
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neuper@37906
|
235 |
val (p,_,f,nxt,_,pt) = me nxt p [] pt;
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neuper@37906
|
236 |
if f = Form'
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neuper@37906
|
237 |
(FormKF
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neuper@37906
|
238 |
(~1,EdUndef,1,Nundef,
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neuper@37906
|
239 |
"9 + 4 * x = 5 + 2 * x + 2 * sqrt (x ^^^ 2 + 5 * x)"))
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neuper@38031
|
240 |
then () else error "behaviour in root-expl. Free_Solve changed";
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wneuper@59279
|
241 |
writeln (pr_ctree pr_short pt);
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walther@59814
|
242 |
---------------------------------me raises exception with not-locatable*)
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neuper@37906
|
243 |
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neuper@37906
|
244 |
|
walther@59852
|
245 |
val d = Rule_Set.empty;
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neuper@37906
|
246 |
|
neuper@37906
|
247 |
" --- test100: nxt_tac order------------------------------------ ";
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neuper@37906
|
248 |
" --- test100: nxt_tac order------------------------------------ ";
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neuper@37906
|
249 |
|
neuper@48790
|
250 |
val scr as (Prog sc) = Prog (((inst_abs Test.thy)
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wneuper@59188
|
251 |
o Thm.term_of o the o (parse thy))
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wneuper@59585
|
252 |
"Program Testeq (e_e::bool) = \
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neuper@37981
|
253 |
\(While (contains_root e_e) Do \
|
walther@59637
|
254 |
\((Try (Repeat (Rewrite rroot_square_inv))) #> \
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walther@59637
|
255 |
\ (Try (Repeat (Rewrite square_equation_left))) #> \
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walther@59635
|
256 |
\ (Try (Repeat (Rewrite radd_0)))))\
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neuper@37981
|
257 |
\ e_e ");
|
neuper@37906
|
258 |
atomty sc;
|
neuper@38058
|
259 |
val (dI',pI',mI') = ("Test",["sqroot-test","univariate","equation","test"],
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neuper@37906
|
260 |
["Test","sqrt-equ-test"]);
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neuper@37906
|
261 |
val p = e_pos'; val c = [];
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neuper@37906
|
262 |
val (mI,m) = ("Init_Proof",Init_Proof ([], (dI',pI',mI')));
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neuper@37906
|
263 |
val (p,_,_,_,_,pt) = me (mI,m) p c EmptyPtree;
|
neuper@38058
|
264 |
val nxt = ("Specify_Theory",Specify_Theory "Test");
|
neuper@37906
|
265 |
val (p,_,_,_,_,pt) = me nxt p c pt;
|
neuper@37906
|
266 |
val nxt = ("Specify_Method",Specify_Method ["Test","sqrt-equ-test"]); (*for asm in square_equation_left*)
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neuper@37906
|
267 |
val (p,_,_,_,_,pt) = me nxt p c pt;
|
neuper@37906
|
268 |
val p = ([1],Res):pos';
|
wneuper@59188
|
269 |
val eq_ = (Thm.term_of o the o (parse thy))"e_::bool";
|
neuper@37906
|
270 |
|
neuper@37906
|
271 |
val ct = "0+(sqrt(sqrt(sqrt a))^^^2)^^^2=0";
|
wneuper@59188
|
272 |
val ve0_= (Thm.term_of o the o (parse thy)) ct;
|
wneuper@59585
|
273 |
val ets0=[([],(Tac_(Program.thy,"BS","",""),[(eq_,ve0_)],[(eq_,ve0_)],
|
walther@59861
|
274 |
TermC.empty,TermC.empty,Safe)),
|
walther@59861
|
275 |
([],(User', [], [], TermC.empty, TermC.empty,Sundef))]:ets;
|
neuper@37906
|
276 |
val l0 = [];
|
neuper@37906
|
277 |
" --------------- 1. ---------------------------------------------";
|
walther@59861
|
278 |
val (pt,_) = cappend_atomic pt[1]Istate.empty TermC.empty(Rewrite("test",""))(str2term ct,[])Complete;
|
neuper@37906
|
279 |
(*12.10.03:*** Unknown theorem(s) "rroot_square_inv"
|
neuper@37906
|
280 |
val Appl m'=applicable_in p pt (Rewrite("rroot_square_inv",""));
|
neuper@37906
|
281 |
*)
|
neuper@37906
|
282 |
|
neuper@37906
|
283 |
|
neuper@48790
|
284 |
val scr as (Prog sc) =
|
wneuper@59188
|
285 |
Prog (((inst_abs Test.thy) o Thm.term_of o the o (parse thy))
|
wneuper@59585
|
286 |
"Program Testterm (g_::real) = (Calculate cancel g_)");
|
neuper@37906
|
287 |
(*
|
neuper@48790
|
288 |
val scr as (Prog sc) =
|
wneuper@59188
|
289 |
Prog (((inst_abs Test.thy) o Thm.term_of o the o (parse thy))
|
wneuper@59585
|
290 |
"Program Testterm (g_::real) = (Calculate power g_)");
|
neuper@48790
|
291 |
val scr as (Prog sc) =
|
wneuper@59188
|
292 |
Prog (((inst_abs Test.thy) o Thm.term_of o the o (parse thy))
|
wneuper@59585
|
293 |
"Program Testterm (g_::real) = (Calculate pow g_)");
|
neuper@37906
|
294 |
..............................................................*)
|
neuper@37906
|
295 |
writeln
|
neuper@37906
|
296 |
"%%%%%%%%%%TODO 7.9.00---vvvvvv--- conflicts with Isa-types \n\
|
neuper@37906
|
297 |
\ (Repeat (Calculate cancel g_)) Or \n\
|
neuper@37906
|
298 |
\ (Repeat (Calculate power g_)) Or \n\
|
neuper@37906
|
299 |
\%%%%%%%%%%%%%%%%%%%%%---^^^^^^--- conflicts with Isa-types \n\
|
neuper@37906
|
300 |
\%%%%%%%%%%%%%%%%%%%%%TODO before Detail Rewrite_Set";
|
neuper@37906
|
301 |
|
neuper@37906
|
302 |
|
walther@59823
|
303 |
"--------- from_prog ---------------------------------------------";
|
walther@59823
|
304 |
"--------- from_prog ---------------------------------------------";
|
walther@59823
|
305 |
"--------- from_prog ---------------------------------------------";
|
neuper@42438
|
306 |
(* mv test/../script.sml: -----> *)
|
walther@59823
|
307 |
"----------- fun from_prog ---------------------------------------"
|
neuper@37906
|
308 |
|