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(* Title: "ProgLang/scrtools.sml"
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tests on tools for scripts
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Author: Walther Neuper 060605
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(c) due to copyright terms
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*)
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"-----------------------------------------------------------------";
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"table of contents -----------------------------------------------";
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"-----------------------------------------------------------------";
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"-------- test the same called by interSteps norm_Poly -----------";
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"-------- test the same called by interSteps norm_Rational -------";
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"-------- check auto-gen.script for Rewrite_Set_Inst -------------";
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"-------- distinguish input to Model -----------------------------------------";
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"-------- fun subpbl, fun pblterm --------------------------------------------";
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"-------- fun stacpbls, fun subst_stacexpr -----------------------------------";
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"-------- fun is_calc, fun op_of_calc ----------------------------------------";
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"-------- fun rule2stac, fun rule2stac_inst ----------------------------------";
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"-------- fun op #> ----------------------------------------------------------";
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"-------- fun get_fun_id -----------------------------------------------------";
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"-------- fun rules2scr_Rls --------------------------------------------------";
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"-----------------------------------------------------------------------------";
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"-----------------------------------------------------------------------------";
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"-----------------------------------------------------------------------------";
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"-------- test the same called by interSteps norm_Poly -----------";
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"-------- test the same called by interSteps norm_Poly -----------";
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"-------- test the same called by interSteps norm_Poly -----------";
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val Seq {scr = Prog auto_script,...} = assoc_rls "norm_Poly";
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writeln(term2str auto_script);
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(*Program Stepwise t_t =
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(Try (Rewrite_Set discard_minus) #>
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Try (Rewrite_Set expand_poly_) #>
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Try (Repeat (Calculate TIMES)) #>
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Try (Rewrite_Set order_mult_rls_) #>
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Try (Rewrite_Set simplify_power_) #>
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Try (Rewrite_Set calc_add_mult_pow_) #>
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Try (Rewrite_Set reduce_012_mult_) #>
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Try (Rewrite_Set order_add_rls_) #>
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Try (Rewrite_Set collect_numerals_) #>
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Try (Rewrite_Set reduce_012_) #>
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Try (Rewrite_Set discard_parentheses1))
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??.empty ..WORKS, NEVERTHELESS *)
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atomty auto_script;
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reset_states (); (*<-- evaluate, if ML-blocks are edited below*)
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CalcTree
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[(["Term (b + a - b)", "normalform N"],
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("Poly",["polynomial","simplification"],
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["simplification","for_polynomials"]))];
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Iterator 1;
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moveActiveRoot 1;
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autoCalculate 1 CompleteCalc;
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val ((pt,p),_) = get_calc 1;
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show_pt pt;
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(* isabisac17 = 15 [
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(([], Frm), Simplify (b + a - b)),
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(([1], Frm), b + a - b),
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(([1], Res), a),
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(([], Res), a)] *)
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interSteps 1 ([], Res);
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val ((pt,p),_) = get_calc 1; show_pt pt;
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show_pt pt;
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(* isabisac17 = 15 [
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(([], Frm), Simplify (b + a - b)),
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(([1], Frm), b + a - b),
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(([1], Res), a),
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(([], Res), a)] *)
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interSteps 1 ([1], Res);(*<SYSERROR><CALCID>1</CALCID><ERROR>error in kernel 8</ERROR></SYSERROR>*)
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"~~~~~ fun interSteps, args:"; val (cI, ip) = (1, ([1], Res));
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val ((pt, p), tacis) = get_calc cI;
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(*if*) (not o is_interpos) ip = false;
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val ip' = lev_pred' pt ip;
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(*Math_Engine.detailstep pt ip ..ERROR interSteps>..>init_istate: "norm_Poly" has EmptyScr*)
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val ("donesteps", ctree_BEFORE_step_into, pos'_BEFORE_step_into) = Math_Engine.detailstep pt ip;
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"~~~~~ fun detailstep, args:"; val (pt, (pos as (p, _))) = (pt, ip);
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val nd = Ctree.get_nd pt p
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val cn = Ctree.children nd;
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(*if*) null cn = false;
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"~~~~~ to detailrls return val:";
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(*else*)
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val return_val = ("donesteps", pt, (p @ [length (Ctree.children (Ctree.get_nd pt p))], Ctree.Res));
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if p @ [length (Ctree.children (Ctree.get_nd pt p))] = [1, 4]
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then () else error "detailrls: auto-generated norm_Poly doesnt work";
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val ((pt,p),_) = get_calc 1; show_pt pt;
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show_pt pt; (*[
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(([], Frm), Simplify (b + a - b)),
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(([1], Frm), b + a - b),
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(([1,1], Frm), b + a - b),
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(([1,1], Res), b + a + -1 * b),
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(([1,2], Res), a + b + -1 * b),
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(([1,3], Res), a + 0 * b),
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(([1,4], Res), a),
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(([1], Res), a),
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(([], Res), a)] *)
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if existpt' ([1,4], Res) pt then ()
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else error "auto-generated norm_Poly doesnt work";
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"-------- test the same called by interSteps norm_Rational -------";
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"-------- test the same called by interSteps norm_Rational -------";
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"-------- test the same called by interSteps norm_Rational -------";
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val Seq {scr = Prog auto_script,...} = assoc_rls "norm_Rational";
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writeln(term2str auto_script);
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atomty auto_script;
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(***
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*** Const (Program.Stepwise, 'z => 'z => 'z)
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*** . Free (t_t, 'z)
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*** . Const (Program.Seq, ('a => 'a) => ('a => 'a) => 'a => 'a)
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*** . . Const (Program.Try, ('a => 'a) => 'a => 'a)
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*** . . . Const (Program.Rewrite'_Set, ID => bool => 'a => 'a)
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*** . . . . Free (discard_minus, ID)
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*** . . Const (Program.Seq, ('a => 'a) => ('a => 'a) => 'a => 'a)
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*** . . . Const (Program.Try, ('a => 'a) => 'a => 'a)
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*** . . . . Const (Program.Rewrite'_Set, ID => bool => 'a => 'a)
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*** . . . . . Free (rat_mult_poly, ID)
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*** . . . Const (Program.Seq, ('a => 'a) => ('a => 'a) => 'a => 'a)
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*** . . . . Const (Program.Try, ('a => 'a) => 'a => 'a)
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*** . . . . . Const (Program.Rewrite'_Set, ID => bool => 'a => 'a)
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*** . . . . . . Free (make_rat_poly_with_parentheses, ID)
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*** . . . . Const (Program.Seq, ('a => 'a) => ('a => 'a) => 'a => 'a)
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*** . . . . . Const (Program.Try, ('a => 'a) => 'a => 'a)
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*** . . . . . . Const (Program.Rewrite'_Set, ID => bool => 'a => 'a)
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*** . . . . . . . Free (cancel_p_rls, ID)
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*** . . . . . Const (Program.Seq, ('a => 'a) => ('a => 'a) => 'a => 'a)
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*** . . . . . . Const (Program.Try, ('a => 'a) => 'a => 'a)
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*** . . . . . . . Const (Program.Rewrite'_Set, ID => bool => 'a => 'a)
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*** . . . . . . . . Free (norm_Rational_rls, ID)
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*** . . . . . . Const (Program.Try, ('a => 'a) => 'a => 'a)
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*** . . . . . . . Const (Program.Rewrite'_Set, ID => bool => 'a => 'a)
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*** . . . . . . . . Free (discard_parentheses1, ID)
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*** . . Const (empty, 'a)
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***)
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reset_states ();
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CalcTree
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[(["Term (b + a - b)", "normalform N"],
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("Poly",["polynomial","simplification"],
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["simplification","of_rationals"]))];
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Iterator 1;
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moveActiveRoot 1;
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autoCalculate 1 CompleteCalc;
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interSteps 1 ([], Res);
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val ((pt,p),_) = get_calc 1; show_pt pt;
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interSteps 1 ([1], Res);
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val ((pt,p),_) = get_calc 1; show_pt pt;
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(*with "Program SimplifyScript (t_::real) = \
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\ ((Rewrite_Set norm_Rational) t_)"
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val (Form form, SOME tac, asm) = pt_extract (pt, ([1], Res));
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*)
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val (Form form, SOME tac, asm) = pt_extract (pt, ([2], Res));
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case (term2str form, tac, terms2strs asm) of
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("a", Check_Postcond ["polynomial", "simplification"], []) => ()
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| _ => error "scrtools.sml: auto-generated norm_Rational doesnt work";
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"-------- check auto-gen.script for Rewrite_Set_Inst -------------";
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"-------- check auto-gen.script for Rewrite_Set_Inst -------------";
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"-------- check auto-gen.script for Rewrite_Set_Inst -------------";
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val rls = assoc_rls "integration";
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val Seq {scr = Prog auto_script,...} = rls;
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writeln(term2str auto_script);
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if contain_bdv (get_rules rls) then ()
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else error "scrtools.sml: contain_bdv doesnt work for 'integration'";
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if terms2str (formal_args auto_script) = "[\"t_t\",\"v\"]"
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then () else error "formal_args of auto-gen.script changed";
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init_istate (Rewrite_Set_Inst (["(''bdv'', x)"], "integration_rules"))
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(str2term "someTermWithBdv");
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"-------- fun stacpbls, fun subst_stacexpr -----------------------------------";
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"-------- fun stacpbls, fun subst_stacexpr -----------------------------------";
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"-------- fun stacpbls, fun subst_stacexpr -----------------------------------";
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val {scr, ...} = get_met ["Test","sqrt-equ-test"]; val Prog sc = scr; val ts = stacpbls sc;
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case stacpbls sc of
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[Const ("Prog_Tac.Rewrite", _) $ square_equation_left,
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Const ("Prog_Tac.Rewrite'_Set", _) $ Test_simplify,
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Const ("Prog_Tac.Rewrite'_Set", _) $ rearrange_assoc,
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Const ("Prog_Tac.Rewrite'_Set", _) $ isolate_root,
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Const ("Prog_Tac.Rewrite'_Set", _) $ norm_equation,
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Const ("Prog_Tac.Rewrite'_Set'_Inst", _) $
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(Const ("List.list.Cons", _) $ (Const ("Product_Type.Pair", _) $ bdv $ Free ("v_v", _)) $
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Const ("List.list.Nil", _))] =>
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if HOLogic.dest_string square_equation_left = "square_equation_left" andalso
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HOLogic.dest_string Test_simplify = "Test_simplify" andalso
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HOLogic.dest_string rearrange_assoc = "rearrange_assoc" andalso
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HOLogic.dest_string isolate_root = "isolate_root" andalso
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HOLogic.dest_string norm_equation = "norm_equation" andalso
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HOLogic.dest_string bdv = "bdv" andalso
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HOLogic.dest_string isolate_bdv = "isolate_bdv"
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then () else error "stacpbls (Test.Solve_root_equation) changed 2"
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| _ => error "stacpbls (Test.Solve_root_equation) changed 1";
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(* inappropriate input is skipped *)
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val t = @{term "(a::real) = (rhs (NTH 1 sol_a))"};
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case stacpbls t of [] => () | _ => error "stacpbls rhs (NTH 1 sol_a) changed";
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@{term "(SubProblem (BiegelinieX,[vonBelastungZu,Biegelinien], [Biegelinien,ausBelastung]) [REAL q__q, REAL v_v])"};
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case stacpbls t of [] => () | _ => error "stacpbls (SubProblem ...) changed";
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(* --- fun subst_stacexpr *)
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case subst_stacexpr [] NONE e_term sc of
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(NONE, Expr (Const ("HOL.eq", _) $
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(Const ("Test.solve_root_equ", _) $ Free ("e_e", _) $ Free ("v_v", _)) $
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(Const ("HOL.Let", _) $
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(Const ("Tactical.Seq", _) $
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(Const ("Tactical.While", _) $ _ $
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_ ) $
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(_) $
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Free ("e_e", _)) $
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Abs ("e_e", _, Const ("List.list.Cons", _) $ Free ("e_e", _) $ Const ("List.list.Nil", _)) )
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)) => ()
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| _ => error "subst_stacexpr [] NONE e_term";
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"-------- fun is_calc, fun op_of_calc ----------------------------------------";
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walther@59603
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"-------- fun is_calc, fun op_of_calc ----------------------------------------";
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walther@59603
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"-------- fun is_calc, fun op_of_calc ----------------------------------------";
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val rls = prep_rls @{theory} Test_simplify; (* adds the Program *)
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val Prog sc = (#scr o rep_rls) rls;
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val stacs = stacpbls sc;
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val calcs = filter is_calc stacs;
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val ids = map op_of_calc calcs;
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case ids of
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["PLUS", "TIMES", "DIVIDE", "POWER"] => ()
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| _ => error "op_of_calc";
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val calcs = ((assoc_calc' @{theory} |> map) o (map LTool.op_of_calc) o
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(filter LTool.is_calc) o LTool.stacpbls) sc;
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case calcs of
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[("PLUS", ("Groups.plus_class.plus", _)), ("TIMES", ("Groups.times_class.times", _)),
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("DIVIDE", ("Rings.divide_class.divide", _)), ("POWER", ("Prog_Expr.pow", _))] => ()
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| _ => error "get_calcs changed"
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"-------- fun rule2stac, fun rule2stac_inst ----------------------------------";
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walther@59603
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"-------- fun rule2stac, fun rule2stac_inst ----------------------------------";
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walther@59603
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"-------- fun rule2stac, fun rule2stac_inst ----------------------------------";
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val t = rule2stac @{theory} (Thm ("real_diff_minus", num_str @{thm real_diff_minus}));
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if term2str t = "Try (Repeat (Rewrite ''real_diff_minus''))" then ()
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else error "rule2stac Thm.. changed";
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walther@59603
|
249 |
val t = rule2stac @{theory} (Calc ("Groups.plus_class.plus", eval_binop "#add_"));
|
walther@59603
|
250 |
if term2str t = "Try (Repeat (Calculate ''PLUS''))" then ()
|
walther@59603
|
251 |
else error "rule2stac Calc.. changed";
|
walther@59603
|
252 |
|
walther@59603
|
253 |
val t = rule2stac @{theory} (Rls_ rearrange_assoc);
|
walther@59635
|
254 |
if term2str t = "Try (Rewrite_Set ''rearrange_assoc'')" then ()
|
walther@59603
|
255 |
else error "rule2stac Rls_.. changed";
|
walther@59603
|
256 |
|
walther@59603
|
257 |
val t = rule2stac_inst @{theory} (Thm ("risolate_bdv_add", num_str @{thm risolate_bdv_add}));
|
walther@59635
|
258 |
if term2str t = "Try (Repeat (Rewrite_Inst [(''bdv'', v)] ''risolate_bdv_add''))" then ()
|
walther@59603
|
259 |
else error "rule2stac_inst Thm.. changed";
|
walther@59603
|
260 |
case t of
|
walther@59603
|
261 |
(Const ("Tactical.Try", _) $
|
walther@59603
|
262 |
(Const ("Tactical.Repeat", _) $
|
walther@59603
|
263 |
(Const ("Prog_Tac.Rewrite'_Inst", _) $
|
walther@59603
|
264 |
(Const ("List.list.Cons", _) $
|
walther@59603
|
265 |
(Const ("Product_Type.Pair", _) $
|
walther@59603
|
266 |
bdv $
|
walther@59603
|
267 |
Free ("v", _)) $
|
walther@59603
|
268 |
Const ("List.list.Nil", _)) $
|
walther@59635
|
269 |
risolate_bdv_add))) =>
|
walther@59603
|
270 |
(if HOLogic.dest_string bdv = "bdv" andalso
|
walther@59603
|
271 |
HOLogic.dest_string risolate_bdv_add = "risolate_bdv_add" then ()
|
walther@59603
|
272 |
else error "rule2stac_inst changed 1")
|
walther@59603
|
273 |
| _ => error "rule2stac_inst changed 2"
|
walther@59603
|
274 |
|
walther@59637
|
275 |
"-------- fun op #> ----------------------------------------------------------";
|
walther@59637
|
276 |
"-------- fun op #> ----------------------------------------------------------";
|
walther@59637
|
277 |
"-------- fun op #> ----------------------------------------------------------";
|
walther@59603
|
278 |
val rules = (#rules o rep_rls) isolate_root;
|
walther@59603
|
279 |
val rs = map (rule2stac @{theory}) rules;
|
walther@59637
|
280 |
val t = #> rs;
|
walther@59637
|
281 |
if term2str t = "Try (Repeat (Rewrite ''rroot_to_lhs'')) #>\n" ^
|
walther@59637
|
282 |
"Try (Repeat (Rewrite ''rroot_to_lhs_mult'')) #>\n" ^
|
walther@59637
|
283 |
"Try (Repeat (Rewrite ''rroot_to_lhs_add_mult'')) #>\n" ^
|
walther@59637
|
284 |
"Try (Repeat (Rewrite ''risolate_root_add'')) #>\n" ^
|
walther@59637
|
285 |
"Try (Repeat (Rewrite ''risolate_root_mult'')) #>\n" ^
|
walther@59635
|
286 |
"Try (Repeat (Rewrite ''risolate_root_div''))"
|
walther@59637
|
287 |
then () else error "fun #> changed"
|
walther@59603
|
288 |
|
walther@59603
|
289 |
"-------- fun get_fun_id -----------------------------------------------------";
|
walther@59603
|
290 |
"-------- fun get_fun_id -----------------------------------------------------";
|
walther@59603
|
291 |
"-------- fun get_fun_id -----------------------------------------------------";
|
walther@59603
|
292 |
(* fun_id is nested into arguments, compare ... *)
|
walther@59603
|
293 |
val Const ("HOL.Trueprop", _) $ (Const ("HOL.eq", _) $
|
walther@59603
|
294 |
(((((((Const (const_id, const_typ) $ _) $ _) $ _) $ _) $ _) $ _) $ _) $ _) =
|
walther@59603
|
295 |
Thm.prop_of @{thm biegelinie.simps};
|
walther@59603
|
296 |
(* ... to: *)
|
walther@59603
|
297 |
val Const ("HOL.Trueprop", _) $ (Const ("HOL.eq", _) $
|
walther@59603
|
298 |
(Const (const_id, const_typ) $ _) $ _) =
|
walther@59603
|
299 |
Thm.prop_of @{thm simplify.simps};
|
walther@59603
|
300 |
|
walther@59603
|
301 |
(* get fun_id out of nesting *)
|
walther@59603
|
302 |
val Const ("HOL.Trueprop", _) $ (Const ("HOL.eq", _) $
|
walther@59603
|
303 |
nested $ _) =
|
walther@59603
|
304 |
Thm.prop_of @{thm biegelinie.simps};
|
walther@59603
|
305 |
val (Const ("Biegelinie.biegelinie", _) $
|
walther@59603
|
306 |
Var (("l", 0), _) $
|
walther@59603
|
307 |
Var (("q", 0), _) $
|
walther@59603
|
308 |
Var (("v", 0), _) $
|
walther@59603
|
309 |
Var (("b", 0), _) $
|
walther@59603
|
310 |
Var (("s", 0), _) $
|
walther@59603
|
311 |
Var (("vs", 0), _) $
|
walther@59603
|
312 |
Var (("id_abl", 0), _)) = nested;
|
walther@59603
|
313 |
strip_comb nested;
|
walther@59603
|
314 |
(*val it =
|
walther@59603
|
315 |
(Const ("Biegelinie.biegelinie", "real \<Rightarrow> real \<Rightarrow> real \<Rightarrow> (real \<Rightarrow> real) \<Rightarrow> bool list \<Rightarrow> bool")
|
walther@59603
|
316 |
,
|
walther@59603
|
317 |
[Var (("l", 0), "real"), Var (("q", 0), "real"), Var (("v", 0), "real"),
|
walther@59603
|
318 |
Var (("b", 0), "real \<Rightarrow> real"), Var (("s", 0), "bool list")]):
|
walther@59603
|
319 |
term * term list*)
|
walther@59603
|
320 |
|
walther@59603
|
321 |
case get_fun_id (prep_program @{thm biegelinie.simps}) of
|
walther@59603
|
322 |
("Biegelinie.biegelinie", _) => ()
|
walther@59603
|
323 |
| _ => error "get_fun_id changed";
|
walther@59603
|
324 |
case get_fun_id (prep_program @{thm simplify.simps}) of
|
walther@59603
|
325 |
("PolyMinus.simplify", _) => ()
|
walther@59603
|
326 |
| _ => error "get_fun_id changed";
|
walther@59603
|
327 |
|
walther@59603
|
328 |
"-------- fun rules2scr_Rls --------------------------------------------------";
|
walther@59603
|
329 |
"-------- fun rules2scr_Rls --------------------------------------------------";
|
walther@59603
|
330 |
"-------- fun rules2scr_Rls --------------------------------------------------";
|
walther@59603
|
331 |
(*compare Prog_Expr.*)
|
walther@59603
|
332 |
val prog = LTool.rules2scr_Rls @{theory} [Rule.Thm ("thm111", @{thm thm111}), Rule.Thm ("refl", @{thm refl})]
|
walther@59603
|
333 |
;
|
walther@59603
|
334 |
writeln (t2str @{theory} prog);
|
walther@59603
|
335 |
(*auto_generated t_t =
|
walther@59603
|
336 |
Repeat
|
walther@59637
|
337 |
((Try (Repeat (Rewrite ''thm111'')) #>
|
walther@59635
|
338 |
Try (Repeat (Rewrite ''refl'')))
|
walther@59603
|
339 |
??.empty)*)
|
walther@59603
|
340 |
;
|
walther@59603
|
341 |
if t2str @{theory} prog =
|
walther@59637
|
342 |
"auto_generated t_t =\nRepeat\n ((Try (Repeat (Rewrite ''thm111'')) #>\n Try (Repeat (Rewrite ''refl'')))\n ??.empty)"
|
walther@59603
|
343 |
then () else error "rules2scr_Rls auto_generated changed"
|