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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.33 and 1.47

-version 1.33, 2009/05/16 03:13:07
+version 1.47, 2013/02/18 07:18:32
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- %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.32 2009/02/23 06:10:42 noro Exp $
+ %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.46 2012/09/18 11:41:18 takayama Exp $
  \input texinfo
  @iftex
  @catcode`@#=6
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 Line 38
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  @title $B<B83E*;EMM$N4X?t(B
  @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
  @subtitle 1.0 $BHG(B
- @subtitle 2008 $BG/(B 1 $B7n(B
+ @subtitle 2013 $BG/(B 2 $B7n(B
  @author  by Risa/Asir committers
  @page
  @vskip 0pt plus 1filll
  Copyright @copyright{} Risa/Asir committers
-. All rights reserved.
+--2010. All rights reserved.
  @end titlepage
  @comment --- $B$*$^$8$J$$(B ---
 Line 52  Copyright @copyright{} Risa/Asir committers
 Line 52  Copyright @copyright{} Risa/Asir committers
 Line 52  Copyright @copyright{} Risa/Asir committers
  @comment --- $B$*$^$8$J$$=*$j(B ---
  @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
  @comment --- @node  $B$N0z?t$O(B node-name,  next,  previous,  up ---
  @node Top,, (dir), (dir)
  @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
 Line 60  Copyright @copyright{} Risa/Asir committers
 Line 60  Copyright @copyright{} Risa/Asir committers
 Line 60  Copyright @copyright{} Risa/Asir committers
  @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
  @comment ---  Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
  @menu
- * Experimental Functions::
+ * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
+ * $B<B83E*;EMM$N4X?t(B::
  * Index::
  @end menu
  @comment --- chapter $B$N3+;O(B ---
  @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
- @node $B<B83E*;EMM$N4X?t(B,,, Top
+ @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, Top
- @chapter $B<B83E*;EMM$N4X?t(B
+ @chapter $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
- @comment --- section $BL>$r@53N$KJB$Y$k(B.  ---
- @menu
- * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
- * $B<B83E*;EMM$N4X?t(B::
- @end menu
- @comment --- section ``XYZ$B$K$D$$$F(B'' $B$N3+;O(B ---  section XYZ$B$K$D$$$F$N?F$O(B chapter XYZ
- @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, XYZ
- @section $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
- @comment --- $B=qBN;XDj$K$D$$$F(B ---
- @comment --- @code{} $B$O%?%$%W%i%$%?BNI=<((B ---
- @comment --- @var{} $B$O<P;zBNI=<((B ---
- @comment --- @b{} $B$O%\!<%k%II=<((B ---
- @comment --- @samp{} $B$O%U%!%$%kL>$J$I$NI=<((B ---
  $B$3$N@bL@=q$G$O(B
  @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
  $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
-Line 92  Copyright @copyright{} Risa/Asir committers
+Line 77  Copyright @copyright{} Risa/Asir committers
 Line 92  Copyright @copyright{} Risa/Asir committers
 Line 77  Copyright @copyright{} Risa/Asir committers
  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
  $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
- @comment --- section ``$B<B83E*4X?t(B'' $B$N3+;O(B ---
+ @node $B<B83E*;EMM$N4X?t(B,,, Top
- @node $B<B83E*;EMM$N4X?t(B,,, $B<B83E*;EMM$N4X?t(B
+ @chapter $B<B83E*;EMM$N4X?t(B
- @section $B<B83E*;EMM$N4X?t(B
  @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
  @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
  @menu
  * quotetotex::
-Line 141  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
+Line 125  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 141  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 125  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
  * nqt_comp::
  * qt_is_var::
  * qt_is_ceof::
  * qt_rewrite::
  * asirgui.hnd::
  * noro_matrix.rr:
  * f_res::
  * chdir::
  * pwd::
  * dcurrenttime::
- * node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
+ * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
- * node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
+ * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
+ * tk_pfn.rkn::
+ * tk_pfn.graph::
+ * tk_rk.runge_kutta_4::
+ * tk_rk.runge_kutta_4_linear::
+ * tk_rk.zonal::
+ * getpid::
  @end menu
- @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
+ @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $B%/%*!<%H(B
+ @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
  @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
  @comment --- section $BL>$r@53N$K(B ---
- @node quotetotex quotetotex_env,,, $B<B83E*;EMM$N4X?t(B
+ @node quotetotex quotetotex_env,,, $B%/%*!<%H(B
  @subsection @code{quotetotex}, @code{quotetotex_env}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
  @findex quotetotex
-Line 165  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
+Line 156  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 165  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 156  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
  @item quotetotex(@var{q})
  :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
  @item quotetotex_env(@var{key},@var{value})
  :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
-Line 193  quote
+Line 184  quote
 Line 193  quote
 Line 184  quote
  @itemize @bullet
  @item
  quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
  @item
  $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
  @item
  conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
 $B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
 $B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
-Line 208  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
+Line 199  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
 Line 208  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
 Line 199  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
  symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
  alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
  $BFbB"$:$_(B.
  @item
    dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
-   @tex
+   @iftex
+   @tex
    $x_0, x_1, \cdots$
    @end tex
+   @end iftex
+   @ifinfo
+   x0, x1, ...
+   @end ifinfo
    $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
    x $B$NItJ,$rJQ99$9$k(B.
  @item
    dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
    $B%G%U%)!<%k%H$O(B 0.
  @item
  dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
  latex $B7A<0$KJQ49$9$k(B.
  $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
- @tex
+ @iftex
+ @tex
  $x_0, x_1, \cdots$
  @end tex
- $B$K(B
+ $B$K8eH>$NH>J,$r(B
- $B8eH>$NH>J,$r(B
+ @tex
- @tex
  $\partial_0, \partial_1, \cdots$
  @end tex
+ @end iftex
+ @ifinfo
+ x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ...
+ @end ifinfo
  $B$KJQ49$9$k(B.
  $B4q?t8D$N>l9g$O:G8e$NJQ?t$,F1;~2=JQ?t$H$7$F(B h $B$GI=<($5$l$k(B.
  @item
 Line 237  $\partial_0, \partial_1, \cdots$
 Line 237  $\partial_0, \partial_1, \cdots$
 Line 237  $\partial_0, \partial_1, \cdots$
    $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
  @item
    dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
  @item
  conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
  @end itemize
 Line 263  print_tex_form(contrib)
 Line 263  print_tex_form(contrib)
 Line 263  print_tex_form(contrib)
  @noindent
  ChangeLog
  @itemize @bullet
  @item
   $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
   knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
   Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
   $B=PNO7A<0$r2~A1$7$?(B.
   OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
  @item
   OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
   noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
  @item
   $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
    builtin/strobj.c 1.14--1.43,
    include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
    parse/arith.c 1.12, parse/parse.h 1.28--1.29,
    parse/quote.c 1.7--1.8, 1.12.
  @item
    knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
  @item
    dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
  @item
    Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
 Line 288  ChangeLog
 Line 288  ChangeLog
 Line 288  ChangeLog
  @comment --- $B"~"~"~"~(B  $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
- @node objtoquote,,, $B<B83E*;EMM$N4X?t(B
+ @node objtoquote,,, $B%/%*!<%H(B
  @subsection @code{objtoquote}
  @findex objtoquote
 Line 333  ChangeLog
 Line 333  ChangeLog
 Line 333  ChangeLog
  @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
+ @node flatten_quote,,, $B%/%*!<%H(B
- @node copyright,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{copyright}
- @findex copyright
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @table @t
- @item copyright()
- :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
- @end table
- @table @var
- @item return
- $BJ8;zNs(B
- @end table
- @itemize @bullet
- @item
- Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
- @end itemize
- @example
- [1150] copyright();
- This is Risa/Asir, Version 20040312 (Kobe Distribution).
- Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
- Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
- GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
- PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
-    H. Cohen and M. Olivier.
- @end example
- @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
- @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
-       parse/glob.c 1.47.
- @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
- @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
- @node string_to_tb tb_to_string write_to_tb,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
- @findex string_to_tb
- @findex tb_to_string
- @findex write_to_tb
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item string_to_tb(@var{s})
- @itemx tb_to_string(@var{tb})
- @itemx write_to_tb(@var{s},@var{tb})
- :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
- @end table
- @table @var
- @item return
- $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
- @item s
- $BJ8;zNs(B
- @item tb
- $BJ8;zNs2DJQD9G[Ns7?(B
- @end table
- @itemize @bullet
- @item
- @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
- $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
- @item
- @code{tb_to_string_(@var{tb})} $B$O(B,
- $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
- @item
- @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
- $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
- @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
- @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
- $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
- $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
- $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
- $B%G!<%?9=B$$G$"$k(B.
- @end itemize
- @example
- [219] T=string_to_tb("");
- [220] write_to_tb("Hello",T);
- [221] write_to_tb(" world!",T);
- [222] tb_to_string(T);
- Hello world!
- @end example
- @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item
-  $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
- @item
-  OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
- io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
- engine/str.c 1.5, parse/quote.c 1.9.
- @item
-  rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
-  asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
- @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
- @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
- @node dp_gr_main,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{dp_gr_main}
- @findex dp_gr_main
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
- :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
- @end table
- @table @var
- @item return
- $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
- @item f
- $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
- @item vv
- $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
- @item oo
- $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
- @item n
-$B$+(B1 (homogenization $B$r$9$k$+(B)
- @item m
- $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
- @item b
- ???
- @item sw
- Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
- @end table
- @itemize @bullet
- @item
-  @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
-  $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
-  $B7OE}$@$C$F$$$J$+$C$?(B.
-  dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
- @comment  ~taka/this03/misc-2003/A2/dp
- @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B.  @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
- @example
-   order         : '[' orderElement @{ ',' orderElement @} ']'
-   orderElement   :  weightVec | builtinOrder
-   weightVec     : '[' weightElement @{ ',' weightElement @} ']'
-   builtiniOrder : '[' orderName  ',' setOfVariables ']'
-   weightElement :   NUMBER | setOfVariables ',' NUMBER
-   setOfVariables:  V | range(V,V)
-   orderName    : @@grlex | @@glex | @@lex
- @end example
- $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
- $BNc(B1:  @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
- $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
- $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
- graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
- $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
- M.Saito, B.Sturmfels, N.Takayama:
- Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
- @item
-   $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
-  (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
-  (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
-  (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
-  $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
-  $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
-  $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
-  $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
- @item
-   order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
- @item
-   $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
-   order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
- @item
-   $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
-   $B2<$NNc$r;2>H(B.
- @end itemize
- @example
- [218] load("cyclic");
- [219] V=vars(cyclic(4));
- [c0,c1,c2,c3]
- [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
- [ 10 1 0 0 ]
- [ 0 0 5 0 ]
- [ R R R R ]
- [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
-  (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2,
-  c0+c1+c2+c3]
- [1151]  F=map(dp_ptod,katsura(4), vars(katsura(4)));
- [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
- [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
- [ 1 1 1 1 0 ]
- [ R R R R R ]
- [(47774098944)*<<0,0,0,0,13>>+ ... ]
- [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
- [[v,[x,y]],[order,[[x,5,y,1]]]]
- [1154]  dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
- [ 5 1 ]
- [ R R ]
- [-y^4+y^2-1,x+y^3-y]
- @end example
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
- @item
-  @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
- @item
-   $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
-   $B7OE}$@$C$F$$$J$+$C$?(B.
-   dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
- @item
-   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
- builtin/gr.c 1.56--1.57,
- builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
- builtin/dp.c 1.46--1.48 (parse_gr_option),
- engine/Fgfs.c 1.20,
- engine/dist.c 1.27--1.28
- engine/nd.c 1.89,
- include/ca.h 1.42--1.43,
- io/pexpr.c 1.28,
- io/sexpr.c 1.26,
- parse/arith.c 1.11,
- parse/glob.c 1.44-1.45,
- parse/lex.c 1.29,
- parse/parse.h 1.23--1.26
- @item
-  Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
-   attribute, ring $B9=B$BN(B.
- @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
- @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
- @node asir-install.sh,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{asir-port.sh}, @code{asir-install.sh}
- @findex asir-port.sh
- @findex asir-install.sh
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item asir-install.sh
- @itemx asir-port.sh
- :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
- @end table
- @itemize @bullet
- @item
- asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
- $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
-  ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
- /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
- .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
- @item
- asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
- asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
- /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
- @end itemize
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item
-  $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B.
- @item
-   knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
- @item
-   OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
--3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
-   OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
-   Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
- @end itemize
- @node get_struct_name,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
- @findex get_struct_name
- @findex get_element_names
- @findex get_element_at
- @findex put_element_at
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item get_struct_name(@var{s})
- @itemx get_element_names(@var{s})
- @itemx get_element_at(@var{s},@var{key})
- @itemx put_element_at(@var{s},@var{key},@var{obj})
- :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
- @end table
- @table @var
- @item return
- $BJ8;zNs(B (get_struct_name),
- $BJ8;zNs$N%j%9%H(B (get_element_names),
- $B%*%V%8%'%/%H(B (get_element_at),
- $B%*%V%8%'%/%H(B (put_element_at)
- @item s
- $B9=B$BN(B
- @item key
- $BJ8;zNs(B
- @item obj
- $B%*%V%8%'%/%H(B
- @end table
- @itemize @bullet
- @item
-  @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
- @item
-  @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
- @item
-  @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
- @item
-  @code{put_element_at(s,key,obj)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$r(B obj $B$K@_Dj$9$k(B.
- @end itemize
- @example
- [219]  struct point @{ x, y, color@};
- [220]  P = newstruct(point);
- @{0,0,0@}
- [221]  P->x = 10$ P->y=5$ P->color="red"$
- [222]  get_element_names(P);
- [x,y,color]
- [223] put_element_at(P,"color","blue");
- blue
- [224] P->color;
- bule
- @end example
- @table @t
- @item $B;2>H(B
- @ref{newstruct}, @ref{struct}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
- @noindent
- ChangeLog
- @itemize @bullet
- @item  $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
-        asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
- @item  OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
- @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
- @node dp_weyl_gr_main,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{dp_weyl_gr_main}
- @findex dp_weyl_gr_main
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
- :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.  dp_gr_main $B$HF1$87A<0$G$"$k(B.
- @end table
- @table @var
- @item return
- $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
- @item f
- $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
- @item vv
- $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
- @item oo
- $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
- @item n
-$B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
- @item m
- $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
- @item b
- ???
- @item sw
- Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
- @end table
- @itemize @bullet
- @item
-  @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
-  $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
-  $B7OE}$@$C$F$$$J$+$C$?(B.
-  dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
-  $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
- @item
-  $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
-  K[x_1, ..., x_n, d_1, ..., d_n]
- $B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
-  d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B.
-  $B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B.
- @item
-  $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
-  K[x_1, ..., x_n, d_1, ..., d_n, h]
- $B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
-  d_i x_i = x_i d_i + h^2
- $B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B.
-  $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
- @end itemize
- @example
- [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]);  /* Command in asir-contrib*/
- [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
- [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
- [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
- ...
- [1238] FF=map(dp_ptod,F[0],V);
- [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,0,0,0,0]
- [1244] FF=map(dp_ptod,F[0],V);
- [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,0,0,0,0,1,1,0>>+(-1)*<<0,0,0,0,1,0,0,1>>,(1)*<<0,0,0,0,1,0,2,0>>+(-1)*<<0,0,0,0,0,2,0,1>>,(-1)*<<0,0,0,0,0,3,0,0>>+(1)*<<0,0,0,0,2,0,1,0>>,(1)*<<0,0,0,0,0,0,3,0>>+(-1)*<<0,0,0,0,0,1,0,2>>]
- dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
- [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
- [ 0 0 0 0 1 1 1 1 ]
- [ R R R R R R R R ]
-  ...
- @end example
- @table @t
- @item $B;2>H(B
- @ref{dp_gr_main}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
- @item
-   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
- builtin/dp-supp.c 1.32--1.33
- builtin/dp.c 1.49--1.50
- @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
- @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{dp_initial_term}
- @findex dp_initial_term
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @table @t
- @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
- :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
- @end table
- @table @var
- @item return
- $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
- @item f
- $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
- @item vv
- $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
- @item oo
- $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
- @end table
- @itemize @bullet
- @item
-  dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
-  $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
-  $B$H=q$+$l$F$$$k(B.
- @item
-  $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
-  $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
-  $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
- @item
-  $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
- @end itemize
- @example
- [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
- (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
- [1220] dp_initial_term(F | order=[[1,1,1]]);
- [ 1 1 1 ]
- [ R R R ]
- (1)*<<2,0,0>>+(1)*<<1,1,0>>
- [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
- [ 1 0 0 ]
- [ R R R ]
- (1)*<<2,0,0>>
- @end example
- @table @t
- @item $B;2>H(B
- @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item
-   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
- builtin/dp-supp.c 1.32
- builtin/dp.c 1.49
- @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
- @node dp_order,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{dp_order}
- @findex dp_order
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @table @t
- @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
- :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
- @end table
- @table @var
- @item return
- $B?t$+?t$N%j%9%H(B
- @item f
- $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
- @item vv
- $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
- @item oo
- $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
- @end table
- @itemize @bullet
- @item
-  $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
-  $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
-  $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
- @item
-  dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
-  $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
-  $B$H=q$/O@J8$d652J=q$b$"$k(B.
- @item
-  $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
- @end itemize
- @example
- [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
- (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
- [1222] dp_order(F | order=[[1,1,1]]);
- [ 1 1 1 ]
- [ R R R ]
- [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
- [ 1 0 0 ]
- [ R R R ]
- @end example
- @table @t
- @item $B;2>H(B
- @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item
-   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
- builtin/dp-supp.c 1.32
- builtin/dp.c 1.49
- @end itemize
- @comment  mapat
- @node mapat,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{mapat}
- @findex mapat
- @table @t
- @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
- :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
- @end table
- @table @var
- @item return
- $B%*%V%8%'%/%H(B
- @item pos
- $B@0?t(B
- @item arg0, arg1, arg2, ...
- $B%*%V%8%'%/%H(B
- @end table
- @itemize @bullet
- @item
- @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
- $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
- @item
- @code{mapat(fname,0,A0,A1,...)} $B$O(B
- @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
- @item
- $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
- @end itemize
- @example
- [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
- [2,3]
- [220] mapat(subst,1,x+y+z,[x,y,z],2);
- [y+z+2,x+z+2,x+y+2]
- @end example
- @table @t
- @item $B;2>H(B
- @ref{map}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
- @noindent
- ChangeLog
- @itemize @bullet
- @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
- @end itemize
- @comment  list
- @node list,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{list}
- @findex list
- @table @t
- @item list([@var{arg0}, @var{arg1}, ...])
- :: list $B$r@8@.$9$k(B.
- @end table
- @table @var
- @item return
- $B%j%9%H(B
- @item arg0, arg1, arg2, ...
- $B%*%V%8%'%/%H(B
- @end table
- @itemize @bullet
- @item
- @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
- @end itemize
- @example
- [219] list(1,2,3);
- [1,2,3]
- [220] list(1,2,[3,4]);
- [1,2,[3,4]]
- @end example
- @table @t
- @item $B;2>H(B
- @ref{cons}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
- @noindent
- ChangeLog
- @itemize @bullet
- @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
- @end itemize
- @node set_print_function,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{set_print_function}
- @findex set_print_function
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @table @t
- @item set_print_function([@var{fname}])
- :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
- @end table
- @table @var
- @item return
- $B@0?t(B
- @item fname
- $BJ8;zNs(B
- @end table
- @itemize @bullet
- @item
- @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
- @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
- @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
- @end itemize
- @example
- [219] def my_output(F) @{
-            print("Out: ",0); print(rtostr(F));
-       @}
- [220] set_print_function("my_output");
- Out: 0
- [221]  1+2;
- Out: 3
- @end example
- @table @t
- @item $B;2>H(B
- @ref{rtostr}
- @end table
- @noindent
- ChangeLog
- @itemize @bullet
- @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
- @end itemize
- @node small_jacobi,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{small_jacobi}
- @findex small_jacobi
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @table @t
- @item small_jacobi(@var{a},@var{m})
- :: Jacobi $B5-9f$N7W;;(B
- @end table
- @table @var
- @item return
- $B@0?t(B
- @item arg1, arg2
- $B@0?t(B
- @end table
- @itemize @bullet
- @item
-  @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
-  x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
- @item
- Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
- @item
-  $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
- @end itemize
- @example
- [1286] small_jacobi(2,3);
- -1
- [1287] small_jacobi(2,7);
- @end example
- @table @t
- @item $B;2>H(B
- http://members.jcom.home.ne.jp/yokolabo/asirlib/
- $B$b8+$F$M(B.
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item $B$3$N4X?t$NM3Mh$OITL@(B.
- @end itemize
- @node flatten_quote,,, $B<B83E*;EMM$N4X?t(B
  @subsection @code{flatten_quote}
  @findex flatten_quote
-Line 1127  Quote
+Line 356  Quote
 Line 1127  Quote
 Line 356  Quote
  @item
  Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
  ( quotetolist $B;2>H(B ).
  @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
  $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
  $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
  $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
  @item
   $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
 +2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
   $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
-Line 1158  quote(x*y*p*3-x*y*z)
+Line 387  quote(x*y*p*3-x*y*z)
 Line 1158  quote(x*y*p*3-x*y*z)
 Line 387  quote(x*y*p*3-x*y*z)
  @noindent
  ChangeLog
  @itemize @bullet
  @item
   $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
   quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
   OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B
   $B1~MQ(B.
  @item
   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
   builtin/strobj.c 1.47,
   parse/eval.c 1.35,
   parse/parse.h 1.31,
   parse/quote.c 1.14--1.16.
  @end itemize
- @node assoc,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{assoc}
- @findex assoc
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @node quote_to_funargs,,, $B%/%*!<%H(B
- @table @t
- @item assoc(@var{a},@var{b})
- :: $BO"A[%j%9%H$r$D$/$k(B
- @end table
- @table @var
- @item return
- List
- @item a
- List
- @item b
- List
- @end table
- @itemize @bullet
- @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
- [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
- $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
- @end itemize
- $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
- @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
- @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
- @example
- [1192]  A=["dog","cat","snake"];
- [dog,cat,snake]
- [1193] B=[4,4,0];
- [4,4,0]
- [1194] assoc(A,B);
- [[dog,4],[cat,4],[snake,0]]
- @end example
- @table @t
- @item $B;2>H(B
- @ref{cons}, @ref{append}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @noindent
- ChangeLog
- @itemize @bullet
- @item
-  $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
-  builtin/list.c 1.9
-  parse/eval.c 1.35,
-  parse/parse.h 1.31,
-  parse/quote.c 1.14--1.16.
- @end itemize
- @node sprintf,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{printf}, @code{fprintf}, @code{sprintf}
- @findex sprintf
- @table @t
- @item printf(@var{format}[,@var{args}])
- @item fprintf(@var{fd},@var{format}[,@var{args}])
- @item sprintf(@var{format}[,@var{args}])
- :: C $B$K;w$?%W%j%s%H4X?t(B
- @end table
- @table @var
- @item return
- $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
- @item format
- $BJ8;zNs(B
- @item fd
- $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
- @item args
- $B%*%V%8%'%/%H(B
- @end table
- @itemize @bullet
- @item
- @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
- @item
- @code{fprintf} $B$O7k2L$r(B, $B%U%!%$%k5-=R;R(B @var{fd} $B$N;X$9%U%!%$%k$K=q$-=P$9(B.
- @item
- @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
- @item
- $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
- @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
- @item
- $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
- @end itemize
- @example
- [0] printf("%a: rat = %a\n",10,x^2-1)$
-: rat = x^2-1
- [1] S=sprintf("%a: rat = %a",20,x^2-1)$
- [2] S;
-: rat = x^2-1
- [3] Fd=open_file("hoge.txt","w");
- [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
- [5] close_file(Fd)$
- [6] quit;
- $ cat hoge.txt
- Poly=x^3-3*x^2+3*x-1
- @end example
- @table @t
- @item $B;2>H(B
- @ref{rtostr},@ref{open_file},@ref{close_file}
- @end table
- @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
- @noindent
- ChangeLog
- @itemize @bullet
- @item
-  $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
- @item
-  $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
- @item
-  $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
- @item
-  @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
- @end itemize
- @node quote_to_funargs,,, $B<B83E*;EMM$N4X?t(B
  @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
  @findex quote_to_funargs
  @findex funargs_to_quote
-Line 1327  quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9
+Line 424  quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9
 Line 1327  quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9
 Line 424  quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9
  @item q
  quote
  @item f
  $B%j%9%H(B
  @end table
  @itemize @bullet
-Line 1337  quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
+Line 434  quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
 Line 1337  quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
 Line 434  quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
  @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
  $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
  @item
   @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
  $B$J$k7A<0$r$7$F$$$k(B.
  $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
  $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
  $B$G<h$j$@$;$k(B.
  $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
  $B$O(B "+" $B$rLa$9(B.
  @item
   $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
  @item
   $B2<$NNc$G(B
   quote_to_funargs(FA[2]);
  [34,[b_op,+,[internal,x],[internal,1]]]
  $B$H$J$k(B.
 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
  $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
  $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
  $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
          I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
          I_PRESELF, I_POSTSELF,
          I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
          I_ANS, I_PVAR, I_ASSPVAR,
          I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
          I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
          I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
-Line 1417  quote(a+1)
+Line 514  quote(a+1)
 Line 1417  quote(a+1)
 Line 514  quote(a+1)
  @noindent
  ChangeLog
  @itemize @bullet
  @item
   $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
   $B$N<B83E*4X?t$G$"$k(B.
   $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
  @item
   $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
  @item
 -6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
  $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
  @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
  $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
  @end itemize
- @node set_secure_flag,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{set_secure_flag}, @code{set_secure_mode}
- @findex set_secure_flag
- @findex set_secure_mode
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @node eval_quote,,, $B%/%*!<%H(B
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item set_secure_flag(@var{fname},@var{m})
- @itemx set_secure_mode(@var{m})
- :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B.  (web $B%5!<%S%9MQ(B)
- @end table
- @table @var
- @item return
- $B@0?t(B
- @item fname
- $BJ8;zNs(B
- @item m
- $B@0?t(B
- @end table
- @itemize @bullet
- @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
- asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
- @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
- @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
- $B4X?t$7$+<B9T$G$-$J$$(B.
- $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
- $BG$0U$N4X?t$r<B9T$G$-$k(B.
- $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
- $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
- $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
- security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
- @item
- @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
- $B$K$9$k(B.
- $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
- @item
- @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
- $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
- quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
- @item  @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
- $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
- $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
- @end itemize
- @example
- [1194] set_secure_flag("print_input_form_",1);
- [1195] set_secure_flag("fctr",1);
- [220] set_secure_mode(1);
- [1197] fctr((x-1)^3);
- [[1,1],[x-1,3]]
- [1198] fctr(shell("ls"));
- evalf : shell not permitted
- return to toplevel
- @end example
- @table @t
- @item $B;2>H(B
- @ref{timer}
- @end table
- @noindent
- ChangeLog
- @itemize @bullet
- @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
- web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
- sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
- $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
- @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
- $B4X?t$7$+<B9T$G$-$J$$(B.
- v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
- $BG$0U$N4X?t$r<B9T$G$-$k(B.
- @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
- @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
- $BMxMQ$9$k(B.
- cgi-asir.sh $B$G$O(B
- @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
- @item
-.24--1.25      OpenXM_contrib2/asir2000/builtin/miscf.c
- @item
-.36--1.38      OpenXM_contrib2/asir2000/parse/eval.c
- @item
-.6--1.7       OpenXM_contrib2/asir2000/parse/function.c
- @item
-.33      OpenXM_contrib2/asir2000/parse/parse.h
- @end itemize
- @node initialize_static_variable,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{initialize_static_variable}
- @findex initialize_static_variable
- @comment --- $B@bL@(B ---
- @table @t
- @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
- @end table
- @itemize @bullet
- @item static $BJQ?t$N<h07(B.
- $B2<$NNc$r;2>H$N$3$H(B.
- @end itemize
- @example
- if (1) @{
-  module abc;
-  static A;
-  A=1;
-  endmodule;
- @} else @{ @};
- end$
- $B$r(B t.rr $B$H$9$k$H$-(B,
- [6] load("./t.rr");
- internal error (SEGV)
- $B$H$J$k(B.
- t.rr $B$r(B
- if (1) @{
-  module abc;
-  static A;
-  localf initA;
-  localf foo;
-  def initA() @{
-    A=1;
-  @}
-  initA();
-  def foo() @{
-    return A;
-  @}
-  endmodule;
- @} else @{ @};
- end$
- $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
- @end example
- @comment --- ChangeLog
- @noindent
- ChangeLog
- @itemize @bullet
- @item  oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B.  2005.07.25.
- @item  oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
- @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
- @end itemize
- @node eval_quote,,, $B<B83E*;EMM$N4X?t(B
  @subsection @code{eval_quote}
  @findex eval_quote
-Line 1632  ChangeLog
+Line 576  ChangeLog
 Line 1632  ChangeLog
 Line 576  ChangeLog
  @end itemize
- @node nqt_match,,, $B<B83E*;EMM$N4X?t(B
+ @node nqt_match,,, $B%/%*!<%H(B
  @subsection @code{nqt_match}
  @findex nqt_match
-Line 1640  ChangeLog
+Line 584  ChangeLog
 Line 1640  ChangeLog
 Line 584  ChangeLog
  @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
  @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
  :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
  @end table
  @table @var
-Line 1655  quote$B7?(B
+Line 599  quote$B7?(B
 Line 1655  quote$B7?(B
 Line 599  quote$B7?(B
  @end table
  @itemize @bullet
  @item  @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
  @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
  @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B.  fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
  @item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B
  fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
  @end itemize
-Line 1680  qt_normalize(A,2);
+Line 624  qt_normalize(A,2);
 Line 1680  qt_normalize(A,2);
 Line 624  qt_normalize(A,2);
  @table @t
  @item $B;2>H(B
  @ref{nqt_match_rewrite},
  @ref{qt_rewrite}
  @end table
  @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
-Line 1693  ChangeLog
+Line 637  ChangeLog
 Line 1693  ChangeLog
 Line 637  ChangeLog
  @end itemize
- @node nqt_match_rewrite,,, $B<B83E*;EMM$N4X?t(B
+ @node nqt_match_rewrite,,, $B%/%*!<%H(B
  @subsection @code{nqt_match_rewrite}
  @findex nqt_match_rewrite
-Line 1760  ChangeLog
+Line 704  ChangeLog
 Line 1760  ChangeLog
 Line 704  ChangeLog
- @node qt_normalize,,, $B<B83E*;EMM$N4X?t(B
+ @node qt_normalize,,, $B%/%*!<%H(B
  @subsection @code{qt_normalize}
  @findex qt_normalize
-Line 1825  quotetolist(B);
+Line 769  quotetolist(B);
 Line 1825  quotetolist(B);
 Line 769  quotetolist(B);
  B=qt_normalize(A,1);
     $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
             Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
  quotetolist(B);
     $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
-Line 1857  ChangeLog
+Line 801  ChangeLog
 Line 1857  ChangeLog
 Line 801  ChangeLog
  @end itemize
- @node qt_set_coef,,, $B<B83E*;EMM$N4X?t(B
+ @node qt_set_coef,,, $B%/%*!<%H(B
  @subsection @code{qt_set_coef}
  @findex qt_set_coef
-Line 1907  ChangeLog
+Line 851  ChangeLog
 Line 1907  ChangeLog
 Line 851  ChangeLog
  @end itemize
- @node qt_set_ord,,, $B<B83E*;EMM$N4X?t(B
+ @node qt_set_ord,,, $B%/%*!<%H(B
  @subsection @code{qt_set_ord}
  @findex qt_set_ord
-Line 1958  ChangeLog
+Line 902  ChangeLog
 Line 1958  ChangeLog
 Line 902  ChangeLog
  @end itemize
- @node qt_set_weight,,, $B<B83E*;EMM$N4X?t(B
+ @node qt_set_weight,,, $B%/%*!<%H(B
  @subsection @code{qt_set_weight}
  @findex qt_set_weight
-Line 1988  fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
+Line 932  fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
 Line 1988  fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
 Line 932  fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
     $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
  @end example
  @itemize @bullet
  @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
  @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
  @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
-Line 2022  ChangeLog
+Line 966  ChangeLog
 Line 2022  ChangeLog
 Line 966  ChangeLog
  @end itemize
- @node nqt_comp,,, $B<B83E*;EMM$N4X?t(B
+ @node nqt_comp,,, $B%/%*!<%H(B
  @subsection @code{nqt_comp}
  @findex nqt_comp
-Line 2070  ChangeLog
+Line 1014  ChangeLog
 Line 2070  ChangeLog
 Line 1014  ChangeLog
  @end itemize
  @comment ****************************************************************
- @node qt_is_var,,, $B<B83E*;EMM$N4X?t(B
+ @node qt_is_var,,, $B%/%*!<%H(B
  @subsection @code{qt_is_var}, @code{qt_is_coef}
  @findex qt_is_var
  @findex qt_is_coef
-Line 2092  quote$B7?(B
+Line 1036  quote$B7?(B
 Line 2092  quote$B7?(B
 Line 1036  quote$B7?(B
  @end table
  @itemize @bullet
  @item  @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
  $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
  @end itemize
-Line 2116  ChangeLog
+Line 1060  ChangeLog
 Line 2116  ChangeLog
 Line 1060  ChangeLog
  @end itemize
  @comment ****************************************************************
- @node qt_rewrite,,, $B<B83E*;EMM$N4X?t(B
+ @node qt_rewrite,,, $B%/%*!<%H(B
  @subsection @code{qt_rewrite}
  @findex qt_rewrite
-Line 2146  quote$B7?(B
+Line 1090  quote$B7?(B
 Line 2146  quote$B7?(B
 Line 1090  quote$B7?(B
  @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
  @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
   $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
  @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
  @var{Pattern} $B$HF1$8=q$-J}(B.
  $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
  [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
  @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
  $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
  $B$5$l$F$+$i?k9T$5$l$k(B.
  @end itemize
-Line 2213  ChangeLog
+Line 1157  ChangeLog
 Line 2213  ChangeLog
 Line 1157  ChangeLog
  $B$3$N%f!<%68@8l$K$h$k3+H/$,(B 2005$BG/$N=U$^$G9T$o$l(B, $B$=$N$"$HAH$_9~$_4X?t<gBN$N(B
  qt $B7O$N4X?t$,3+H/$5$l$?(B.
  @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
    OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
    OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
  @item Todo: qt $B7O$N4X?t$rMQ$$$?$*$b$7$m$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B.
  @end itemize
  @comment ****************************************************************
+ @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $BJ8;zNs=hM}(B
- @comment ****************************************************************
+ @comment --- $B"~"~"~"~(B  $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
- @node asirgui.hnd,,, $B<B83E*;EMM$N4X?t(B
+ @node copyright,,, $BJ8;zNs=hM}(B
- @subsection @code{asirgui.hnd}
+ @subsection @code{copyright}
- @findex asirgui.hnd
+ @findex copyright
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item copyright()
+ :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
+ @end table
+ @table @var
+ @item return
+ $BJ8;zNs(B
+ @end table
+ @itemize @bullet
+ @item
+ Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
+ @end itemize
+ @example
+ [1150] copyright();
+ This is Risa/Asir, Version 20040312 (Kobe Distribution).
+ Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
+ Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
+ GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
+ PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
+    H. Cohen and M. Olivier.
+ @end example
+ @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
+ @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
+       parse/glob.c 1.47.
+ @end itemize
+ @comment --- $B"~"~"~"~(B  $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
+ @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
+ @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
+ @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
+ @findex string_to_tb
+ @findex tb_to_string
+ @findex write_to_tb
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item asirguid.hnd
+ @item string_to_tb(@var{s})
- :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
+ @itemx tb_to_string(@var{tb})
+ @itemx write_to_tb(@var{s},@var{tb})
+ :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
  @end table
+ @table @var
+ @item return
+ $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
+ @item s
+ $BJ8;zNs(B
+ @item tb
+ $BJ8;zNs2DJQD9G[Ns7?(B
+ @end table
  @itemize @bullet
- @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
+ @item
- @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main winodw $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
+ @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
- @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B.
+ $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
+ @item
+ @code{tb_to_string_(@var{tb})} $B$O(B,
+ $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
+ @item
+ @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
+ $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
+ @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
+ @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
+ $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
+ $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
+ $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
+ $B%G!<%?9=B$$G$"$k(B.
  @end itemize
  @example
- // cl test.c user32.lib
+ [219] T=string_to_tb("");
- #include <windows.h>
+ [220] write_to_tb("Hello",T);
- #include <stdlib.h>
- #include <stdio.h>
+ [221] write_to_tb(" world!",T);
- #include <process.h>
+ [222] tb_to_string(T);
+ Hello world!
+ @end example
- int main()
- @{
-         HWND hnd;
+ @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
-         FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
+ @noindent
-         fscanf(fp,"%d",&hnd);
+ ChangeLog
-         fclose(fp);
+ @itemize @bullet
-         while (1) @{
+ @item
-                 int c;
+  $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
-                 c = getchar();
+ @item
-                 if ( c == '#' ) break;
+  OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
-                 PostMessage(hnd,WM_CHAR,c,1);
+ io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
-         @}
+ engine/str.c 1.5, parse/quote.c 1.9.
-         return 0;
+ @item
- @}
+  rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
+  asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
+ @end itemize
+ @node set_print_function,,, $BJ8;zNs=hM}(B
+ @subsection @code{set_print_function}
+ @findex set_print_function
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item set_print_function([@var{fname}])
+ :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @item fname
+ $BJ8;zNs(B
+ @end table
+ @itemize @bullet
+ @item
+ @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
+ @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
+ @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
+ @end itemize
+ @example
+ [219] def my_output(F) @{
+            print("Out: ",0); print(rtostr(F));
+       @}
+ [220] set_print_function("my_output");
+ Out: 0
+ [221]  1+2;
+ Out: 3
  @end example
  @table @t
  @item $B;2>H(B
- @ref{xyz_abc}
+ @ref{rtostr}
  @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
+ @end itemize
+ @node sprintf,,, $BJ8;zNs=hM}(B
+ @subsection @code{printf}, @code{fprintf}, @code{sprintf}
+ @findex sprintf
+ @table @t
+ @item printf(@var{format}[,@var{args}])
+ @item fprintf(@var{fd},@var{format}[,@var{args}])
+ @item sprintf(@var{format}[,@var{args}])
+ :: C $B$K;w$?%W%j%s%H4X?t(B
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
+ @item format
+ $BJ8;zNs(B
+ @item fd
+ $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
+ @item args
+ $B%*%V%8%'%/%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
+ @item
+ @code{fprintf} $B$O7k2L$r(B, $B%U%!%$%k5-=R;R(B @var{fd} $B$N;X$9%U%!%$%k$K=q$-=P$9(B.
+ @item
+ @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
+ @item
+ $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
+ @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
+ @item
+ $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
+ @end itemize
+ @example
+ [0] printf("%a: rat = %a\n",10,x^2-1)$
+: rat = x^2-1
+ [1] S=sprintf("%a: rat = %a",20,x^2-1)$
+ [2] S;
+: rat = x^2-1
+ [3] Fd=open_file("hoge.txt","w");
+ [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
+ [5] close_file(Fd)$
+ [6] quit;
+ $ cat hoge.txt
+ Poly=x^3-3*x^2+3*x-1
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{rtostr},@ref{open_file},@ref{close_file}
+ @end table
  @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
  @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
  @noindent
  ChangeLog
  @itemize @bullet
- @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
+ @item
- @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
+  $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
- @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp}  1.15, 1.1.6
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
+ @item
+  $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
+ @item
+  $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
+ @item
+  @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
  @end itemize
- @comment ****************************************************************
- @node noro_matrix.rr,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{noro_matrix.rr}
- @findex noro_matrix.rr
+ @node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $B%0%l%V%J!<4pDl(B
+ @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
+ @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
+ @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
+ @subsection @code{dp_gr_main}
+ @findex dp_gr_main
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item linalg.unit_mat(@var{arg1})
+ @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
- @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
+ :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
- @item linalg.minipoly_mat(@var{arg1})
- @item linalg.compute_kernel(@var{arg1})
- @item linalg.compute_image(@var{arg1})
- @item linalg.jordan_canonical_form(@var{arg1})
  @end table
+ @table @var
+ @item return
+ $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
+ @item f
+ $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
+ @item vv
+ $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
+ @item oo
+ $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
+ @item n
+$B$+(B1 (homogenization $B$r$9$k$+(B)
+ @item m
+ $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
+ @item b
+ ???
+ @item sw
+ Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
+ @end table
  @itemize @bullet
- @item $B4JC1$J2r@b$*$h$S<BNc$O(B http://www.math.kobe-u.ac.jp/HOME/taka/2007/knx/noro_matrix-ja.txt $B$r;2>H(B.
+ @item
+  @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
+  $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
+  $B7OE}$@$C$F$$$J$+$C$?(B.
+  dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
+ @comment  ~taka/this03/misc-2003/A2/dp
+ @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B.  @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
+ @example
+   order         : '[' orderElement @{ ',' orderElement @} ']'
+   orderElement   :  weightVec | builtinOrder
+   weightVec     : '[' weightElement @{ ',' weightElement @} ']'
+   builtiniOrder : '[' orderName  ',' setOfVariables ']'
+   weightElement :   NUMBER | setOfVariables ',' NUMBER
+   setOfVariables:  V | range(V,V)
+   orderName    : @@grlex | @@glex | @@lex
+ @end example
+ $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
+ $BNc(B1:  @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
+ $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
+ $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
+ graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
+ $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
+ M.Saito, B.Sturmfels, N.Takayama:
+ Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
+ @item
+   $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
+  (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
+  (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
+  (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
+  $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
+  $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
+  $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
+  $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
+ @item
+   order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
+ @item
+   $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
+   order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
+ @item
+   $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
+   $B2<$NNc$r;2>H(B.
  @end itemize
  @example
- load("noro_matrix.rr");
+ [218] load("cyclic");
- A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
+ [219] V=vars(cyclic(4));
- B=linalg.jordan_canonical_form(A);
+ [c0,c1,c2,c3]
+ [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
+ [ 10 1 0 0 ]
+ [ 0 0 5 0 ]
+ [ R R R R ]
+ [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
+  (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2,
+  c0+c1+c2+c3]
+ [1151]  F=map(dp_ptod,katsura(4), vars(katsura(4)));
+ [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
+ [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
+ [ 1 1 1 1 0 ]
+ [ R R R R R ]
+ [(47774098944)*<<0,0,0,0,13>>+ ... ]
+ [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
+ [[v,[x,y]],[order,[[x,5,y,1]]]]
+ [1154]  dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
+ [ 5 1 ]
+ [ R R ]
+ [-y^4+y^2-1,x+y^3-y]
  @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
+ @item
+  @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
+ @item
+   $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
+   $B7OE}$@$C$F$$$J$+$C$?(B.
+   dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
+ @item
+   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
+ builtin/gr.c 1.56--1.57,
+ builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
+ builtin/dp.c 1.46--1.48 (parse_gr_option),
+ engine/Fgfs.c 1.20,
+ engine/dist.c 1.27--1.28
+ engine/nd.c 1.89,
+ include/ca.h 1.42--1.43,
+ io/pexpr.c 1.28,
+ io/sexpr.c 1.26,
+ parse/arith.c 1.11,
+ parse/glob.c 1.44-1.45,
+ parse/lex.c 1.29,
+ parse/parse.h 1.23--1.26
+ @item
+  Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
+   attribute, ring $B9=B$BN(B.
+ @end itemize
+ @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
+ @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
+ @subsection @code{dp_weyl_gr_main}
+ @findex dp_weyl_gr_main
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
+ @item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
+ :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.  dp_gr_main $B$HF1$87A<0$G$"$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
+ @item f
+ $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
+ @item vv
+ $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
+ @item oo
+ $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
+ @item n
+$B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
+ @item m
+ $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
+ @item b
+ ???
+ @item sw
+ Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
+ @end table
+ @itemize @bullet
+ @item
+  @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
+  $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
+  $B7OE}$@$C$F$$$J$+$C$?(B.
+  dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
+  $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
+ @item
+  $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
+  K[x_1, ..., x_n, d_1, ..., d_n]
+ $B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
+  d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B.
+  $B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B.
+ @item
+  $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
+  K[x_1, ..., x_n, d_1, ..., d_n, h]
+ $B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
+  d_i x_i = x_i d_i + h^2
+ $B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B.
+  $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
+ @end itemize
+ @example
+ [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]);  /* Command in asir-contrib*/
+ [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
+ [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
+ [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
+ ...
+ [1238] FF=map(dp_ptod,F[0],V);
+ [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,0,0,0,0]
+ [1244] FF=map(dp_ptod,F[0],V);
+ [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,0,0,0,0,1,1,0>>+(-1)*<<0,0,0,0,1,0,0,1>>,(1)*<<0,0,0,0,1,0,2,0>>+(-1)*<<0,0,0,0,0,2,0,1>>,(-1)*<<0,0,0,0,0,3,0,0>>+(1)*<<0,0,0,0,2,0,1,0>>,(1)*<<0,0,0,0,0,0,3,0>>+(-1)*<<0,0,0,0,0,1,0,2>>]
+ dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
+ [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
+ [ 0 0 0 0 1 1 1 1 ]
+ [ R R R R R R R R ]
+  ...
+ @end example
+ @table @t
  @item $B;2>H(B
- @ref{invmat}
+ @ref{dp_gr_main}
  @end table
  @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
  @noindent
  ChangeLog
  @itemize @bullet
- @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
+ @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
- @item $B%=!<%9(B:  OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
+ @item
+   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
+ builtin/dp-supp.c 1.32--1.33
+ builtin/dp.c 1.49--1.50
  @end itemize
+ @comment --- $B"~"~"~"~(B  $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
+ @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
+ @subsection @code{dp_initial_term}
+ @findex dp_initial_term
- @node f_res,,, $B<B83E*;EMM$N4X?t(B
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @subsection @code{f_res}
+ @table @t
- @findex f_res
+ @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
+ :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
+ @end table
+ @table @var
+ @item return
+ $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
+ @item f
+ $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
+ @item vv
+ $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
+ @item oo
+ $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
+ @end table
+ @itemize @bullet
+ @item
+  dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
+  $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
+  $B$H=q$+$l$F$$$k(B.
+ @item
+  $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
+  $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
+  $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
+ @item
+  $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
+ @end itemize
+ @example
+ [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
+ (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
+ [1220] dp_initial_term(F | order=[[1,1,1]]);
+ [ 1 1 1 ]
+ [ R R R ]
+ (1)*<<2,0,0>>+(1)*<<1,1,0>>
+ [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
+ [ 1 0 0 ]
+ [ R R R ]
+ (1)*<<2,0,0>>
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
+ builtin/dp-supp.c 1.32
+ builtin/dp.c 1.49
+ @end itemize
+ @comment --- $B"~"~"~"~(B  $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
+ @node dp_order,,, $B%0%l%V%J!<4pDl(B
+ @subsection @code{dp_order}
+ @findex dp_order
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
- @item f_res
+ @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
+ :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
  @end table
+ @table @var
+ @item return
+ $B?t$+?t$N%j%9%H(B
+ @item f
+ $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
+ @item vv
+ $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
+ @item oo
+ $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
+ @end table
  @itemize @bullet
- @item f_res $B$O3F<o$N=*7k<0$r7W;;$9$k%b%8%e!<%k$G$"$k(B. ox_grep("f_res"); $B$G(B online manual $B$r1\Mw2DG=$G$"$k(B.
+ @item
+  $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
+  $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
+  $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
+ @item
+  dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
+  $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
+  $B$H=q$/O@J8$d652J=q$b$"$k(B.
+ @item
+  $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
  @end itemize
+ @example
+ [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
+ (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
+ [1222] dp_order(F | order=[[1,1,1]]);
+ [ 1 1 1 ]
+ [ R R R ]
+ [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
+ [ 1 0 0 ]
+ [ R R R ]
+ @end example
  @table @t
  @item $B;2>H(B
- @ref{}
+ @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
  @end table
  @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
+ builtin/dp-supp.c 1.32
+ builtin/dp.c 1.49
+ @end itemize
+ @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
+ @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
+ @findex nd_gr (module)
+ @findex nd_gr_trace (module)
+ @findex nd_weyl_gr (module)
+ @findex nd_weyl_gr_trace (module)
+ @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
+ @table @t
+ @item  nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
+ @itemx  nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
+ @item  nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
+ @itemx  nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
+ :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
+ @end table
+ @table @var
+ @item gen
+ $B%j%9%H$N%j%9%H(B
+ @item ord
+ @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
+ @item return
+ $B%j%9%H$N%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
+ $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
+ $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
+ @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
+ $B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$r<B9T$9$k(B. $B$3$N>l9g(B, @var{gen} $B$O(B, $BB?9`<0(B
+ $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
+ @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
+ $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
+ $B$G9T$&(B.
+ @item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B.
+ @end itemize
+ @example
+ [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
+ [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
+ [1]  nd_gr(Gen,[x,y,z],0,[0,0]);
+ [[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3,
+ -x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2
+ +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{nd_gr}, @ref{nd_gr_trace}
+ @end table
+ @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B
+ @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
+ @findex nd_gr (option)
+ @findex nd_gr_trace (option)
+ @findex nd_weyl_gr (option)
+ @findex nd_weyl_gr_trace (option)
+ @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
+ @table @t
+ @item  nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
+ @itemx  nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
+ @itemx  nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
+ @itemx  nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
+ :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
+ @end table
+ @table @var
+ @item opt
+ @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
+ @item return
+ $B%*%W%7%g%s$K$h$j0[$J$k(B
+ @end table
+ @itemize @bullet
+ @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
+ @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
+ @table @var
+ @item gentrace
+ @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
+ @item gensyz
+ @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
+ @item nora
+ @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
+ @end table
+ @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
+ @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
+ $B<!$NDL$j$G$"$k(B.
+ @table @var
+ @item GB
+ $B%0%l%V%J!<4pDl(B
+ @item Homo
+ $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
+ @item Trace
+ $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
+ @item IntRed
+ $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
+ @item Ind
+ $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
+ @item InputRed
+ $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
+ (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
+ @item SpairTrace
+ $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
+ (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
+ @end table
+ @item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B
+ $B4X?t$N9`$G@bL@$9$kM=Dj(B.
+ @end itemize
+ @example
+ [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
+ [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
+ [2] D[0];
+ [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
+ [3] D[2];
+ [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
+ [4] D[6];
+ [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{nd_gr}, @ref{nd_gr_trace}
+ @end table
+ @node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $B%7%9%F%`(B
+ @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
+ @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
+ @node asir-install.sh,,, $B%7%9%F%`(B
+ @subsection @code{asir-port.sh}, @code{asir-install.sh}
+ @findex asir-port.sh
+ @findex asir-install.sh
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item asir-install.sh
+ @itemx asir-port.sh
+ :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
+ @end table
+ @itemize @bullet
+ @item
+ asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
+ $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
+  ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
+ /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
+ .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
+ @item
+ asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
+ asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
+ /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
+ @end itemize
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+  $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B.
+ @item
+   knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
+ @item
+   OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
+-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
+   OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
+   Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
+ @end itemize
+ @node asirgui.hnd,,, $B%7%9%F%`(B
+ @subsection @code{asirgui.hnd}
+ @findex asirgui.hnd
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item asirguid.hnd
+ :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
+ @end table
+ @comment ****************************************************************
+ @itemize @bullet
+ @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
+ @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
+ @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B.
+ @item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$k(B. winfep $B$G$O$"$i$+$8$a%U%!%$%k$KF~NO%9%/%j%W%H$r=q$$$F$*$$$F(B, asirgui $B$G0l9T$E$D<B9T$5$;$k$3$H$,$G$-$k(B. winfep $B$O%W%l%<%s%F!<%7%g%sMQ$N%=%U%H%&%(%"$G$"$k(B. $B$3$l$O(B asirgui.hnd $B$rMxMQ$7$F$$$k(B.
+ @end itemize
+ @example
+ // cl test.c user32.lib
+ #include <windows.h>
+ #include <stdlib.h>
+ #include <stdio.h>
+ #include <process.h>
+ int main()
+ @{
+         HWND hnd;
+         FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
+         fscanf(fp,"%d",&hnd);
+         fclose(fp);
+         while (1) @{
+                 int c;
+                 c = getchar();
+                 if ( c == '#' ) break;
+                 PostMessage(hnd,WM_CHAR,c,1);
+         @}
+         return 0;
+ @}
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{xyz_abc}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
  @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
  @noindent
  ChangeLog
  @itemize @bullet
- @item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B.
+ @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
- @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
+ @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
+ @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp}  1.15, 1.1.6
+ @item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B.
+ @item @code{OpenXM_contrib2/windows/winfep}  1.1
  @end itemize
- @node chdir,,, $B<B83E*;EMM$N4X?t(B
+ @comment ****************************************************************
- @subsection @code{chdir}, @code{pwd}
+ @node chdir,,, $B%7%9%F%`(B
+ @subsection @code{chdir}, @code{pwd}
  @findex chdir
  @findex pwd
-Line 2392  ChangeLog
+Line 2044  ChangeLog
 Line 2392  ChangeLog
 Line 2044  ChangeLog
  @noindent
  ChangeLog
  @itemize @bullet
  @item
  $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
  @end itemize
- @node dcurrenttime,,, $B<B83E*;EMM$N4X?t(B
+ @node dcurrenttime,,, $B%7%9%F%`(B
  @subsection @code{dcurrenttime}
  @findex dcurrenttime
  @comment --- $B8=:_;~9o$r<hF@(B ---
-Line 2437  ChangeLog
+Line 2089  ChangeLog
 Line 2437  ChangeLog
 Line 2089  ChangeLog
  @noindent
  ChangeLog
  @itemize @bullet
  @item
  $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
  @end itemize
- @node nk_restriction.restriction,,, $B<B83E*;EMM$N4X?t(B
+ @node getpid,,, $B%7%9%F%`(B
+ @subsection @code{getpid}
+ @findex getpid
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item getpid()
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @end table
+ @itemize @bullet
+ @item asir $B$N%W%m%;%9HV9f$rLa$9(B.
+ @item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U=P$"$k(B.
+ @end itemize
+ @example
+ [219] getpid()
+ @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B ox_work_dir() $B4X?t$,0l0U$J:n6H%U%!%$%kL>$rF@$k$?$a$K;H$o$l$F$$$k(B.
+ src/asir-contrib/packages/src/misc/rr 1.3,
+ asir2000/builtin/file.c 1.28, rat.c 1.5,
+ asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
+ @end itemize
+ @comment ****************************************************************
+ @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $B8@8l(B
+ @node get_struct_name,,, $B8@8l(B
+ @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
+ @findex get_struct_name
+ @findex get_element_names
+ @findex get_element_at
+ @findex put_element_at
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item get_struct_name(@var{s})
+ @itemx get_element_names(@var{s})
+ @itemx get_element_at(@var{s},@var{key})
+ @itemx put_element_at(@var{s},@var{key},@var{obj})
+ :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
+ @end table
+ @table @var
+ @item return
+ $BJ8;zNs(B (get_struct_name),
+ $BJ8;zNs$N%j%9%H(B (get_element_names),
+ $B%*%V%8%'%/%H(B (get_element_at),
+ $B%*%V%8%'%/%H(B (put_element_at)
+ @item s
+ $B9=B$BN(B
+ @item key
+ $BJ8;zNs(B
+ @item obj
+ $B%*%V%8%'%/%H(B
+ @end table
+ @itemize @bullet
+ @item
+  @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
+ @item
+  @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
+ @item
+  @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
+ @item
+  @code{put_element_at(s,key,obj)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$r(B obj $B$K@_Dj$9$k(B.
+ @end itemize
+ @example
+ [219]  struct point @{ x, y, color@};
+ [220]  P = newstruct(point);
+ @{0,0,0@}
+ [221]  P->x = 10$ P->y=5$ P->color="red"$
+ [222]  get_element_names(P);
+ [x,y,color]
+ [223] put_element_at(P,"color","blue");
+ blue
+ [224] P->color;
+ bule
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{newstruct}, @ref{struct}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item  $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
+        asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
+ @item  OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
+ @end itemize
+ @comment  mapat
+ @node mapat,,, $B8@8l(B
+ @subsection @code{mapat}
+ @findex mapat
+ @table @t
+ @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
+ :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
+ @end table
+ @table @var
+ @item return
+ $B%*%V%8%'%/%H(B
+ @item pos
+ $B@0?t(B
+ @item arg0, arg1, arg2, ...
+ $B%*%V%8%'%/%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
+ $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
+ @item
+ @code{mapat(fname,0,A0,A1,...)} $B$O(B
+ @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
+ @item
+ $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @example
+ [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
+ [2,3]
+ [220] mapat(subst,1,x+y+z,[x,y,z],2);
+ [y+z+2,x+z+2,x+y+2]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{map}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
+ @end itemize
+ @comment  list
+ @node list,,, $B8@8l(B
+ @subsection @code{list}
+ @findex list
+ @table @t
+ @item list([@var{arg0}, @var{arg1}, ...])
+ :: list $B$r@8@.$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B
+ @item arg0, arg1, arg2, ...
+ $B%*%V%8%'%/%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
+ @end itemize
+ @example
+ [219] list(1,2,3);
+ [1,2,3]
+ [220] list(1,2,[3,4]);
+ [1,2,[3,4]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{cons}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
+ @end itemize
+ @node assoc,,, $B8@8l(B
+ @subsection @code{assoc}
+ @findex assoc
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item assoc(@var{a},@var{b})
+ :: $BO"A[%j%9%H$r$D$/$k(B
+ @end table
+ @table @var
+ @item return
+ List
+ @item a
+ List
+ @item b
+ List
+ @end table
+ @itemize @bullet
+ @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
+ [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
+ $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
+ @end itemize
+ $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
+ @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
+ @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
+ @example
+ [1192]  A=["dog","cat","snake"];
+ [dog,cat,snake]
+ [1193] B=[4,4,0];
+ [4,4,0]
+ [1194] assoc(A,B);
+ [[dog,4],[cat,4],[snake,0]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{cons}, @ref{append}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+  $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
+  builtin/list.c 1.9
+  parse/eval.c 1.35,
+  parse/parse.h 1.31,
+  parse/quote.c 1.14--1.16.
+ @end itemize
+ @node set_secure_flag,,, $B8@8l(B
+ @subsection @code{set_secure_flag}, @code{set_secure_mode}
+ @findex set_secure_flag
+ @findex set_secure_mode
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item set_secure_flag(@var{fname},@var{m})
+ @itemx set_secure_mode(@var{m})
+ :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B.  (web $B%5!<%S%9MQ(B)
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @item fname
+ $BJ8;zNs(B
+ @item m
+ $B@0?t(B
+ @end table
+ @itemize @bullet
+ @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
+ asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
+ @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
+ @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
+ $B4X?t$7$+<B9T$G$-$J$$(B.
+ $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
+ $BG$0U$N4X?t$r<B9T$G$-$k(B.
+ $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
+ $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
+ $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
+ security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
+ @item
+ @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
+ $B$K$9$k(B.
+ $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
+ @item
+ @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
+ $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
+ quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
+ @item  @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
+ $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
+ $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
+ @end itemize
+ @example
+ [1194] set_secure_flag("print_input_form_",1);
+ [1195] set_secure_flag("fctr",1);
+ [220] set_secure_mode(1);
+ [1197] fctr((x-1)^3);
+ [[1,1],[x-1,3]]
+ [1198] fctr(shell("ls"));
+ evalf : shell not permitted
+ return to toplevel
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{timer}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
+ web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
+ sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
+ $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
+ @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
+ $B4X?t$7$+<B9T$G$-$J$$(B.
+ v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
+ $BG$0U$N4X?t$r<B9T$G$-$k(B.
+ @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
+ @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
+ $BMxMQ$9$k(B.
+ cgi-asir.sh $B$G$O(B
+ @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
+ @item
+.24--1.25      OpenXM_contrib2/asir2000/builtin/miscf.c
+ @item
+.36--1.38      OpenXM_contrib2/asir2000/parse/eval.c
+ @item
+.6--1.7       OpenXM_contrib2/asir2000/parse/function.c
+ @item
+.33      OpenXM_contrib2/asir2000/parse/parse.h
+ @end itemize
+ @node initialize_static_variable,,, $B8@8l(B
+ @subsection @code{initialize_static_variable}
+ @findex initialize_static_variable
+ @comment --- $B@bL@(B ---
+ @table @t
+ @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
+ @end table
+ @itemize @bullet
+ @item static $BJQ?t$N<h07(B.
+ $B2<$NNc$r;2>H$N$3$H(B.
+ @end itemize
+ @example
+ if (1) @{
+  module abc;
+  static A;
+  A=1;
+  endmodule;
+ @} else @{ @};
+ end$
+ $B$r(B t.rr $B$H$9$k$H$-(B,
+ [6] load("./t.rr");
+ internal error (SEGV)
+ $B$H$J$k(B.
+ t.rr $B$r(B
+ if (1) @{
+  module abc;
+  static A;
+  localf initA;
+  localf foo;
+  def initA() @{
+    A=1;
+  @}
+  initA();
+  def foo() @{
+    return A;
+  @}
+  endmodule;
+ @} else @{ @};
+ end$
+ $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
+ @end example
+ @comment --- ChangeLog
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item  oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B.  2005.07.25.
+ @item  oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
+ @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
+ @end itemize
+ @comment ****************************************************************
+ @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $B?tO@!&Be?t(B
+ @node small_jacobi,,, $B?tO@!&Be?t(B
+ @subsection @code{small_jacobi}
+ @findex small_jacobi
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item small_jacobi(@var{a},@var{m})
+ :: Jacobi $B5-9f$N7W;;(B
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @item arg1, arg2
+ $B@0?t(B
+ @end table
+ @itemize @bullet
+ @item
+  @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
+  x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
+ @item
+ Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
+ @item
+  $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
+ @end itemize
+ @example
+ [1286] small_jacobi(2,3);
+ -1
+ [1287] small_jacobi(2,7);
+ @end example
+ @table @t
+ @item $B;2>H(B
+ http://members.jcom.home.ne.jp/yokolabo/asirlib/
+ $B$b8+$F$M(B.
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$NM3Mh$OITL@(B.
+ @end itemize
+ @node noro_matrix.rr,,, $B?tO@!&Be?t(B
+ @subsection @code{noro_matrix.rr}
+ @findex noro_matrix.rr
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item linalg.unit_mat(@var{arg1})
+ @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
+ @item linalg.minipoly_mat(@var{arg1})
+ @item linalg.compute_kernel(@var{arg1})
+ @item linalg.compute_image(@var{arg1})
+ @item linalg.jordan_canonical_form(@var{arg1})
+ @end table
+ @itemize @bullet
+ @item $B4JC1$J2r@b$*$h$S<BNc$O(B http://www.math.kobe-u.ac.jp/HOME/taka/2007/knx/noro_matrix-ja.txt $B$r;2>H(B.
+ @end itemize
+ @example
+ load("noro_matrix.rr");
+ A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
+ B=linalg.jordan_canonical_form(A);
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{invmat}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
+ @item $B%=!<%9(B:  OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
+ @end itemize
+ @node f_res,,, $B?tO@!&Be?t(B
+ @subsection @code{f_res}
+ @findex f_res
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item f_res
+ @end table
+ @itemize @bullet
+ @item f_res $B$O3F<o$N=*7k<0$r7W;;$9$k%b%8%e!<%k$G$"$k(B. ox_grep("f_res"); $B$G(B online manual $B$r1\Mw2DG=$G$"$k(B.
+ @end itemize
+ @table @t
+ @item $B;2>H(B
+ @ref{}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B.
+ @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
+ @end itemize
+ @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
+ @section D $B2C72$N@)8B$K4X$9$k4X?t(B
+ @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
  @subsection @code{nk_restriction.restriction}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
  @findex nk_restriction.restriction
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
  @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
  :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B
  @end table
-Line 2471  ChangeLog
+Line 2673  ChangeLog
 Line 2471  ChangeLog
 Line 2673  ChangeLog
  ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
  @item
  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
  $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
  x,y $B$K$D$$$F@)8B$r9T$&!#(B
  @end itemize
  $B0J2<$O!"%$%G%"%k(B
+ @iftex
  @tex
  $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
  @end tex
  $B$N(B
- @tex $x$ @end tex
+ @tex
+ $x$
+ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
+ @end ifinfo
  $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B
  @example
  [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
-Line 2490  S0 : 1
+Line 2699  S0 : 1
 Line 2490  S0 : 1
 Line 2699  S0 : 1
  B_@{S0@} length : 2
  -- fctr(BF) + base :0.000999sec(0.0005109sec)
  [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
- [1433]
  @end example
  @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
  @subsection @code{nk_restriction.restriction_ideal}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
-Line 2500  B_@{S0@} length : 2
+Line 2709  B_@{S0@} length : 2
 Line 2500  B_@{S0@} length : 2
 Line 2709  B_@{S0@} length : 2
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
  @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
  :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B
  @end table
-Line 2522  B_@{S0@} length : 2
+Line 2731  B_@{S0@} length : 2
 Line 2522  B_@{S0@} length : 2
 Line 2731  B_@{S0@} length : 2
  ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
  @item
  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
  $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
  x,y $B$K$D$$$F@)8B$r9T$&!#(B
  @end itemize
  $B0J2<$O!"%$%G%"%k(B
+ @iftex
  @tex
  $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
  @end tex
  $B$N(B
- @tex $x$ @end tex
+ @tex
+ $x$
+ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
+ @end ifinfo
  $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
  @example
  [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
-Line 2542  B_@{S0@} length : 2
+Line 2758  B_@{S0@} length : 2
 Line 2542  B_@{S0@} length : 2
 Line 2758  B_@{S0@} length : 2
  -- fctr(BF) + base :0sec(0.000566sec)
  -- restriction_ideal_internal :0.001sec(0.0007441sec)
  [-1]
- [1347]
  @end example
- @node nk_restriction.integration,,, $B<B83E*;EMM$N4X?t(B
+ @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
  @subsection @code{nk_restriction.integration}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
  @findex nk_restriction.integration
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
  @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
  :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B
  @end table
-Line 2577  B_@{S0@} length : 2
+Line 2792  B_@{S0@} length : 2
 Line 2577  B_@{S0@} length : 2
 Line 2792  B_@{S0@} length : 2
  ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
  @item
  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
  $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
  x,y $B$K$D$$$F@QJ,$r9T$&!#(B
  @end itemize
  $B0J2<$O!"%$%G%"%k(B
- @tex
+ @iftex
+ @tex
  $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
  @end tex
  $B$N(B
- @tex $t$ @end tex
+ @tex
+ $t$
+ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
+ @end ifinfo
  $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
  @example
  [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
-Line 2599  B_@{S0@} length : 2
+Line 2821  B_@{S0@} length : 2
 Line 2599  B_@{S0@} length : 2
 Line 2821  B_@{S0@} length : 2
  [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
  @end example
- @node nk_restriction.integration_ideal,,, $B<B83E*;EMM$N4X?t(B
+ @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
  @subsection @code{nk_restriction.integration_ideal}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
  @findex nk_restriction.integration_ideal
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
  @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
  :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B
  @end table
-Line 2631  B_@{S0@} length : 2
+Line 2853  B_@{S0@} length : 2
 Line 2631  B_@{S0@} length : 2
 Line 2853  B_@{S0@} length : 2
  ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
  @item
  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
  $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
  x,y $B$K$D$$$F@QJ,$r9T$&!#(B
  @end itemize
  $B0J2<$O!"%$%G%"%k(B
- @tex
+ @iftex
+ @tex
  $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
  @end tex
  $B$N(B
- @tex $t$
+ @tex
- @end tex
+ $t$
+ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
+ @end ifinfo
  $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
  @example
  [1431]  nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
-Line 2656  B_@{S0@} length : 2
+Line 2884  B_@{S0@} length : 2
 Line 2656  B_@{S0@} length : 2
 Line 2884  B_@{S0@} length : 2
  [1432]
  @end example
+ @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
+ @subsection @code{nk_restriction.ann_mul}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.ann_mul
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
+ :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
+ @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
+ @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item I
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item J
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
+ @end itemize
+ @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
+ @subsection @code{nk_restriction (option)}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction (option)
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
+ @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
+ @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
+ @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
+ :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item @var{n}
+$B$^$?$O(B 1
+ @item @var{p}
+ $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
+ @item @var{m}
+ $B@0?t(B
+ @item @var{b}
+, 1, 2, 3 $B$N$$$:$l$+(B
+ @item @var{ord}
+ $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
+ restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
+ @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
+ @iftex
+ @tex
+ {\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I}
+ @end tex
+ @end iftex
+ @ifinfo
+ J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I
+ @end ifinfo
+ $B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B.
+ $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
+ $B%3%a%s%H$r;2>H(B.
+ restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
+ restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
+ $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
+ @item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B.
+ $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
+ $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
+ $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
+ @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
+ $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
+ @var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B
+ $BMxMQ$G$-$k(B.
+ @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
+ $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
+ @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
+ $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
+ $B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B.
+: $B@F<!2=$J$7(B, trace $B$J$7(B
+: $B@F<!2=$J$7(B, trace $B$"$j(B
+: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
+: $B@F<!2=$"$j(B, trace $B$"$j(B
+ @item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B
+ $B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker
+ $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
+ $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
+ $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
+ @end itemize
+ $B0J2<$O(B,
+ @iftex
+ @tex
+ $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
+ @end tex
+ $B$N(B annihilator
+ @tex
+ $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
+  \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
+  (xt-1) \partial_x+at \}$
+ @end tex
+ $B$N(B
+ @tex
+ $t$
+ @end tex
+ $B$K$D$$$F$N@QJ,%$%G%"%k(B
+ @tex
+ $J$
+ @end tex
+ $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
+ @end iftex
+ @ifinfo
+ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
+ $B$N(B annihilator
+ I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
+  (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
+ $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
+ $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
+ @end ifinfo
+ @example
+ [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
+ [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
+ [(x^2-x)*dx^2+((t-1)*dt+(a+b+1)*x-c+1)*dx+b*a,(-t+1)*x*dx+(t^2-t)*dt+(-c+2)*t+b-1,(t*x-1)*dx+a*t]
+ [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
+ -- nd_weyl_gr :0sec(0.001875sec)
+ -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
+ -- generic_bfct_and_gr :0.008001sec(0.006181sec)
+ generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
+ S0 : 0
+ B_{S0} length : 1
+ -- fctr(BF) + base :0sec(0.003848sec)
+ -- integration_ideal_internal :0sec(0.07707sec)
+ [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
+ @end example
+ @iftex
+ $B$3$N=PNO$O(B
+ @tex
+ $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
+ - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
+ @end tex
+ $B$G$"$k$3$H$r0UL#$9$k(B.
+ @end iftex
+ @ifinfo
+ $B$3$N=PNO$O(B
+ @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
+ $B$G$"$k$3$H$r0UL#$9$k(B.
+ @end ifinfo
+ @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
+ @subsection @code{nk_restriction.trans_inhomo}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.trans_inhomo
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
+ :: D $B2C72$N@)8B%$%G%"%k(B, $B@QJ,%$%G%"%k$N@8@.85$KBP$9$kHs@F<!ItJ,$N>pJs$+$i(B, $BG$0U$N85$KBP$9$kHs@F<!ItJ,$r7W;;$9$k4X?t(B
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item P
+ $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
+ @item INT
+ nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
+ nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B.
+ @item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
+ @end itemize
+ @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
+ @subsection @code{nk_restriction.ost_integration_ideal}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.ost_integration_ideal
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
+ $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
+ @table @t
+ @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
+ :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
+ @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
+ :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item Id
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @item LB
+ $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
+ @item UB
+ $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B  "inf", "+inf", "-inf" $B$rMQ$$$k(B.
+ @end itemize
+ $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
+ @iftex
+ @tex
+ $ \int_0^\infty \exp((-t^3+t)x) dt $
+ @end tex
+ $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
+ @tex
+ $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
+ @end tex
+ $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
+ @end iftex
+ @ifinfo
+ \int_0^$B!g(B exp((-t^3+t)x) dt
+ $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
+ I = < dt +(3t^2-1)x, dx+t^3-t >
+ $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
+ @end ifinfo
+ @example
+ [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
+ [1872] VL=[t,x]$
+ [1873] DVL=[dt,dx]$
+ [1874] W=[1,0]$
+ [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
+ -- nd_weyl_gr :0.008sec(0.006768sec)
+ -- weyl_minipoly :0.004001sec(0.003029sec)
+ -- generic_bfct_and_gr :0.012sec(0.0129sec)
+ generic bfct : [[1,1],[s,1],[s-2,1]]
+ S0 : 2
+ B_{S0} length : 3
+ -- fctr(BF) + base :0.008sec(0.007395sec)
+ -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
+ [-27*x^3*dx^3-54*x^2*dx^2+(4*x^3+3*x)*dx+4*x^2-3,27*x^2*dx^4+135*x*dx^3+(-4*x^2+105)*dx^2-16*x*dx-8]
+ [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
+ ($BN,(B)
+ [27*x^3*dx^3+54*x^2*dx^2+(-4*x^3-3*x)*dx-4*x^2+3,-27*x^2*dx^4-135*x*dx^3+(4*x^2-105)*dx^2+16*x*dx+8]
+ @end example
+ $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
+ @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
+ @subsection @code{nk_restriction.ost_sum}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.ost_sum
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
+ :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item Id
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
+ @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
+ @end itemize
+ $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
+ @iftex
+ @tex
+ $ \sum_{k=a}^b {n \choose k} $
+ @end tex
+ $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
+ @tex
+ $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
+ @end tex
+ $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
+ @end iftex
+ @ifinfo
+ \sum_{k=a}^b n_C_k
+ $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
+ I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
+ $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
+ @end ifinfo
+ @example
+ [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
+ [1872] VL=[k,n]$
+ [1873] DVL=[ek,en]$
+ [1874] W=[1,0]$
+ [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
+ -- nd_weyl_gr :0.006667sec(0.004057sec)
+ -- weyl_minipoly :0sec(0.001163sec)
+ -- generic_bfct_and_gr :0.01sec(0.007085sec)
+ generic bfct : [[1,1],[s,1]]
+ S0 : 0
+ B_{S0} length : 1
+ -- fctr(BF) + base :0.003333sec(0.001785sec)
+ -- restriction_ideal_internal :0sec(0.002336sec)
+ [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
+ @end example
  @noindent
  ChangeLog
  @itemize @bullet
  @item  $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
+ @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B.
+ @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B
+ $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
+ @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
  @end itemize
- @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B<B83E*;EMM$N4X?t(B
+ @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
+ @section $B$=$NB>(B($BL$J,N`(B)
- @findex nd_gr (module)
- @findex nd_gr_trace (module)
- @findex nd_weyl_gr (module)
- @findex nd_weyl_gr_trace (module)
- @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
+ @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_pfn.rkn}
+ @findex tk_pfn.rkn
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item  nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
+ @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
- @itemx  nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
+ :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
- @item  nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
- @itemx  nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
- :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
  @end table
  @table @var
- @item gen
- $B%j%9%H$N%j%9%H(B
- @item ord
- @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
  @item return
- $B%j%9%H$N%j%9%H(B
+ $B%j%9%H(B  $BFHN)JQ?t$H2r$NAH(B
+ @item F, X, Y, Xs, Ys, Ht, H
+ @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
+ @var{X} $B$OFHN)JQ?t%j%9%H(B.
+ @var{Y} $B$O=>B0JQ?t%j%9%H(B.
+ @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
+ @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
+ @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
+ @var{H} $B$OHy>/?t(B.
  @end table
  @itemize @bullet
- @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
+ @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
- $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
+ @item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B.
- $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
+ @item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$k$3$H$,2r$,B8:_$9$kI,MW==J,>r7o$G$"$k(B. $B$3$N>r7o$,@.N)$7$J$$$H$-$K$3$N4X?t$rMQ$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B.
- @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
+ @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
- $B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$r<B9T$9$k(B. $B$3$N>l9g(B, @var{gen} $B$O(B, $BB?9`<0(B
+ @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
- $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
+ @item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B.
- @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
+ @item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B.
- $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
+ @item $B;29M(B. taka_runge_kutta.rr, yang.rr
- $B$G9T$&(B.
- @item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B.
  @end itemize
  @example
- [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
+ [1355] import("tk_pfn.rr");
- [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
+ [1590]  tk_pfn.test1();
- [1]  nd_gr(Gen,[x,y,z],0,[0,0]);
+ Value at (3,0.1)[8.99,6,-0.2]
- [[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3,
+ Value at (1,3)[-8,2,-6]
- -x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2
+ [[[1,3],-8,2,-6],
- +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
+  [[1,2.9],-7.41,2,-5.8],
+  --- snip ---
+  [[3,0.1],8.99,6,-0.2]]
  @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
+ @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
+ @item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B.
+ @end itemize
+ @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_pfn.graph}
+ @findex tk_pfn.graph
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item $B;2>H(B
+ @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
- @ref{nd_gr}, @ref{nd_gr_trace}
+ :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
  @end table
- @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B<B83E*;EMM$N4X?t(B
+ @table @var
- @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
+ @item return
- @findex nd_gr (option)
+ $B%j%9%H(B  $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
- @findex nd_gr_trace (option)
+ [x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B
- @findex nd_weyl_gr (option)
+ y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
- @findex nd_weyl_gr_trace (option)
+ @item Pf, Dom, Iv, Step
+ @var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.  $BFHN)JQ?t$O(B x, y $B$G8GDj(B.
+ @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
+ @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
+ @var{Step} $B9o$_I}(B.
+ @end table
- @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
+ @itemize @bullet
+ @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
+ @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B.
+ @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
+ @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.testgraph1()}, @code{tk_pfn.testgraph2()} $B$r;2>H(B.
+ @item option $B$H$7$F$O(B fit=1 $B$,$"$k(B. Z$B<4$rE,59D4@0$9$k(B.
+ @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
+ @end itemize
+ @example
+ [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
+ [1590] tk_pfn.testgraph1();
+ $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
+ def testgraph1() {
+   /* tk_bess2.bess2pf(1/2); */
+   Pf=  [[[ 0, (1)/(x), 0 ],
+          [ -x, (2*x^2+1)/(x), -2*x ],
+          [ -y, 0, 0 ]],
+         [[ 0, 0, (1)/(y) ],
+          [ -x, 0, 0 ],
+          [ -x, (1/2)/(x), (-1/2)/(y) ]]];
+   /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
+   Iv = [0.105994,-0.651603,-0.760628];
+   Dom=[[0.5,1.5],[1.5,9]];
+   Step = 0.5;
+   return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
+ }
+ @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
+ @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
+ @end itemize
+ @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_rk.runge_kutta_4}
+ @findex tk_rk.runge_kutta_4
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item  nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
+ @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
- @itemx  nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
+ :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
- @itemx  nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
- @itemx  nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
- :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
  @end table
  @table @var
- @item opt
- @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
  @item return
- $B%*%W%7%g%s$K$h$j0[$J$k(B
+ $B%j%9%H(B  $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
+  @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
+ @item Eq, X, Y, Step
+ @var{Eq} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$G$"$k(B.
+ @var{X} $BFHN)JQ?tL>(B.
+ @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
+ @var{Step} $B9o$_I}(B.
+ @item X0, Y0, Terminal
+ @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
+ @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
+ @var{Terminal} @var{X} $B$N=*CeE@(B.
  @end table
  @itemize @bullet
- @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
+ @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
- @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
+ @item $B$3$N4X?t$OO"N)>oHyJ,J}Dx<0(B Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$r?tCME*$K2r$/(B.
+ @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
+ @code{tk_rk.test4()} $B$r;2>H(B.
+ @end itemize
+ @example
+ [1355] import("taka_runge_kutta.rr");
+ [1590] tk_rk.test4();
+ $B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x)
+ taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
+ def test4() {
+   A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
+   taka_plot_auto(A);
+   return(A);
+ }
+ @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2000 $BG/Be$NA0H>$K:G=i$NHG$,=q$+$l$?(B. 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:FEY@0Hw(B
+ @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
+ @end itemize
+ @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_rk.runge_kutta_4_linear}
+ @findex tk_rk.runge_kutta_4_linear
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
+ :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
+ @end table
  @table @var
- @item gentrace
+ @item return
- @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
+ $B%j%9%H(B  $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
- @item gentsyz
+  @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
- @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
+ @item P, X, Y, Step
- @item nora
+ @var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B.
- @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
+ @var{X} $BFHN)JQ?tL>(B.
+ @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B.
+ @var{Step} $B9o$_I}(B.
+ @item X0, Y0, Terminal
+ @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
+ @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
+ @var{Terminal} @var{X} $B$N=*CeE@(B.
  @end table
- @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
+ @itemize @bullet
- @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
+ @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
- $B<!$NDL$j$G$"$k(B.
+ @end itemize
+ @example
+ [1355] import("taka_runge_kutta.rr");
+ [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
+ [1591] taka_plot_auto(A);
+ $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
+ taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
+ @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
+ @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
+ @end itemize
+ @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{fj_simp.simplify}
+ @findex fj_simp.simplify
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item fj_simp.simplify(@var{arg1})
+ :: arg1 $B$r4JC12=$9$k(B.
+ @end table
  @table @var
- @item GB
+ @item return
- $B%0%l%V%J!<4pDl(B
+ $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
- @item Homo
+ @item arg1
- $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
+ $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
- @item Trace
- $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
- @item IntRed
- $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
- @item Ind
- $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
- @item InputRed
- $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
- (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
- @item SpairTrace
- $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
- (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
  @end table
- @item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B
- $B4X?t$N9`$G@bL@$9$kM=Dj(B.
+ @itemize @bullet
+ @item
+ $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.
+ @item
+ $B$3$N4X?t$O(B
+ Joel S. Cohen, Computer Algebra and Symbolic Computation,
+ http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
+ $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
+ B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
+ $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
+ @item
+ $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
+ $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
  @end itemize
  @example
- [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
+ load("fj_simplify.rr");
- [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
+ [1434] simplify((x^(1/2))^3);
- [2] D[0];
+ ((x)^(3/2))
- [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
+ [1435] simplify((2^(1/2))^2);
- [3] D[2];
- [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
+ [1436] simplify((2+2^(1/2))^3);
- [4] D[6];
+*((2)^(1/2))+20
- [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
+ [1437] simplify(exp(x)*exp(-x+y));
+ ((@@e)^(y))
  @end example
  @table @t
  @item $B;2>H(B
- @ref{nd_gr}, @ref{nd_gr_trace}
+ @ref{quote}
  @end table
- @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.
+ poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.
+ @item
+ Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
+ @item
+ $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
+ OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
+ @end itemize
+ @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_jack.zonal}
+ @findex tk_jack.zonal
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item tk_jack.zonel(@var{p},@var{n})
+ :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
+ @item p
+ $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
+ @item n
+ $B<+A3?t(B
+ @end table
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B
+ Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
+ $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
+ $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
+ @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
+ @end itemize
+ @example
+ load("tk_jack.rr");
+ [1434] tk_jack.zonal([3,2,1],3);
+ (112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1
+ [1435] tk_jack.zonal([1,1],3);
+ (2*x_2+2*x_3)*x_1+2*x_3*x_2
+ [1436]  tk_jack.jack([1,1],3,2);
+ (2*x_2+2*x_3)*x_1+2*x_3*x_2
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
+ holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
+ $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
+ @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
+ @end itemize
+ @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.  template
  @comment ****************************************************************
  @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
  @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
  @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
  @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
  @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
  @subsection @code{xyz_pqr}, @code{syz_stu}

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