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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.21 and 1.57

-version 1.21, 2005/07/25 12:23:05
+version 1.57, 2018/10/17 00:33:49
 Line 1
 Line 1
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- %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.20 2005/05/04 11:06:55 takayama Exp $
+ %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.56 2018/03/28 07:44:06 takayama Exp $
- \input texinfo
+ \input texinfo-ja
  @iftex
  @catcode`@#=6
  @def@fref#1{@xrefX[#1,,@code{#1},,,]}
 Line 38
 Line 38
 Line 38
  @title $B<B83E*;EMM$N4X?t(B
  @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
  @subtitle 1.0 $BHG(B
- @subtitle 2005 $BG/(B 5 $B7n(B
+ @subtitle 2018 $BG/(B 3 $B7n(B
  @author  by Risa/Asir committers
  @page
  @vskip 0pt plus 1filll
  Copyright @copyright{} Risa/Asir committers
-. All rights reserved.
+--2018. 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::
+ * asir-port.sh asir-install.sh::
- * quotetotex_env::
+ * asirgui.hnd::
- * objtoquote::
+ * chdir pwd::
  * copyright::
- * string_to_tb::
+ * dcurrenttime::
- * tb_to_string::
- * write_to_tb::
  * dp_gr_main::
- * asir-port.sh::
- * asir-install.sh::
- * get_struct_name::
- * get_element_names::
- * get_element_at::
- * put_element_at::
  * dp_initial_term::
  * dp_order::
  * dp_weyl_gr_main::
+ * eval_quote::
+ * f_res::
+ * fj_simplify.simplify::
+ * flatten_quote::
+ * function::
+ * get_struct_name get_element_names get_element_at put_element_at::
+ * getpid::
+ * initialize_static_variable::
  * list::
  * mapat::
+ * 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 (option)::
+ * noro_matrix.rr::
+ * nqt_comp::
+ * nqt_match::
+ * nqt_match_rewrite::
+ * objtoquote::
+ * ot_hgm_ahg.cbase::
+ * ot_hgm_ahg.get_mat2::
+ * ot_hgm_ahg.hgm_ahg_contiguity::
+ * pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round::
+ * printf fprintf sprintf::
+ * qt_is_var qt_is_coef::
+ * qt_normalize::
+ * qt_rewrite::
+ * qt_set_coef::
+ * qt_set_ord::
+ * qt_set_weight::
+ * quote_to_funargs funargs_to_quote remove_paren get_function_name::
+ * quotetotex quotetotex_env::
  * set_print_function::
+ * set_secure_flag set_secure_mode::
  * small_jacobi::
- * flatten_quote::
+ * string_to_tb tb_to_string write_to_tb::
- * sprintf::
+ * tk_fd.abc2ahg::
- * quote_to_funargs::
+ * tk_fd.ahvec_abc::
- * funargs_to_quote::
+ * tk_hgpoly.hgpoly::
- * get_function_name::
+ * tk_hgpoly.optip::
- * remove_paren::
+ * tk_jack.zonal::
- * set_secure_mode::
+ * tk_pfn.graph::
- * set_secure_flag::
+ * tk_pfn.rkn::
- * double_quote::
+ * tk_rk.runge_kutta_4::
+ * tk_rk.runge_kutta_4_linear::
  @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 142  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
+Line 151  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 142  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 151  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 170  quote
+Line 179  quote
 Line 170  quote
 Line 179  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 185  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
+Line 194  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
 Line 185  symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3
 Line 194  symbol_table $B$K$h$kJQ49$r9T$$(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 214  $\partial_0, \partial_1, \cdots$
+Line 232  $\partial_0, \partial_1, \cdots$
 Line 214  $\partial_0, \partial_1, \cdots$
 Line 232  $\partial_0, \partial_1, \cdots$
    $B%G%U%)!<%k%H$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$V(B.
- @item
  @end itemize
  @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
-Line 242  print_tex_form(contrib)
+Line 258  print_tex_form(contrib)
 Line 242  print_tex_form(contrib)
 Line 258  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 267  ChangeLog
+Line 283  ChangeLog
 Line 267  ChangeLog
 Line 283  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 312  ChangeLog
+Line 328  ChangeLog
 Line 312  ChangeLog
 Line 328  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{flatten_quote}
+ @findex flatten_quote
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item flatten_quote(@var{q},@var{op})
+ :: quote $B$N3g8L$r$H$j$5$k(B.
+ @end table
+ @table @var
+ @item return
+ Quote
+ @item q
+ Quote
+ @item op
+ $B1i;;;R$rI=$9J8;zNs(B.
+ @end table
+ @itemize @bullet
+ @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.
+ @item  R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
+   + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
+ @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
+ @end itemize
+ @example
+ [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
+ quote(1+2+3+4*(x+3))
+ [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
+ quote(x*y*p*3-x*y*z)
+ [1290] quotetolist(quote(1+2+3));
+ [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{quotetolist}, @ref{print_tex_form}(contrib)
+ @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 2004-7-7 $B$+$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 quote_to_funargs funargs_to_quote remove_paren get_function_name,,, $B%/%*!<%H(B
+ @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}, @code{get_function_name}
+ @findex quote_to_funargs
+ @findex funargs_to_quote
+ @findex remove_paren
+ @findex get_function_name
+ @table @t
+ @item quote_to_funargs(@var{q})
+ ::  quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
+ @item funargs_to_quote(@var{f})
+ ::  funarg $B7A<0$r(B quote $B$X(B.
+ @item get_function_name(@var{f})
+ ::  funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
+ @item remove_paren(@var{q})
+ ::  $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
+ @end table
+ @table @var
+ @item return
+ quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
+ @item q
+ quote
+ @item f
+ $B%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item
+  @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
+ quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
+ @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
+ $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(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$$$k(B.
+         I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
+         I_PRESELF, I_POSTSELF,
+         I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
+         I_ANS, I_PVAR, I_ASSPVAR,
+         I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
+         I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
+         I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
+         I_NARYOP
+ @end itemize
+ $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
+ @example
+ [0] ctrl("print_quote",1) $
+ [1] Q=quote((x+1)+(x+2));
+ [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
+         [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
+ [2] FA=quote_to_funargs(Q);
+ [0,<...quoted...>,
+   [u_op,(),[b_op,+,[internal,x],[internal,1]]],
+   [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
+ [3] FA2=quote_to_funargs(FA[2])[1];
+ [b_op,+,[internal,x],[internal,1]]
+ [4] FA3=quote_to_funargs(FA[3])[1];
+ [b_op,+,[internal,x],[internal,2]]
+ [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
+ [b_op,+,[b_op,+,[internal,x],[internal,1]],
+         [b_op,+,[internal,x],[internal,2]]]
+ @end example
+ $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
+ @example
+ [1287] load("noro_simplify.rr");
+ [1293] noro_simplify.remove_paren(quote( f(1-(x))));
+ quote(f(1-x))
+ @end example
+ funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
+ $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
+ @example
+ [1184] R=quote_to_funargs(quote(a+(b+c)));
+ [0,<...quoted...>,<...quoted...>,<...quoted...>]
+ [1185] T=quote_to_funargs(quote(1+2));
+ [0,<...quoted...>,<...quoted...>,<...quoted...>]
+ [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
+ quote(a+1)
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{quotetolist}
+ @end table
+ @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$$$mLdBjDs5/(B
+ $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
+ @item parse/quote.c $B$N(B strcut fid_spec fid_spec_tab[]
+ $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
+ @end itemize
+ @node eval_quote,,, $B%/%*!<%H(B
+ @subsection @code{eval_quote}
+ @findex eval_quote
+ @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 eval_quote(@var{Q});
+ :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%*%V%8%'%/%H(B
+ @item Q
+ quote$B7?(B
+ @end table
+ @itemize @bullet
+ @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
+ @item $B5U4X?t$O(B @code{objtoquote}
+ @end itemize
+ @example
+ ctrl("print_quote",2);
+ A=quote((x-1)^2+(x-1)+3);
+      $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
+ eval_quote(A);
+      $B=PNO(B: x^2-x+3
+ print_input_form(A);     /* asir-contrib */
+      $B=PNO(B: quote((x-1)^2+(x-1)+3)
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
+ @ref{quote_to_funargs}, @ref{funargs_to_quote}
+ @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  -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node nqt_match,,, $B%/%*!<%H(B
+ @subsection @code{nqt_match}
+ @findex nqt_match
+ @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 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$$$H(B 0 $B$rLa$9(B.
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @item Expr
+ quote$B7?(B
+ @item Pattern
+ quote$B7?(B
+ @item Mode
+ $B@0?t(B
+ @end table
+ @itemize @bullet
+ @item  @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$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$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
+ @item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B
+ fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
+ @end itemize
+ @example
+ ctrl("print_quote",2);
+ A=quote((x-y)*(x+y));
+ nqt_match(A,quote(P*Q));
+ [P,Q]
+     $B=PNO(B:  [x-y, x+y]
+ nqt_match(A,quote(P*Q),1);
+     $B%^%C%A$7$J$$(B.
+ nqt_match(A,quote(P*Q),2);
+     $B%^%C%A$7$J$$(B.
+ qt_normalize(A,1);
+     $B=PNO(B:  ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
+ qt_normalize(A,2);
+     $B=PNO(B:  ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{nqt_match_rewrite},
+ @ref{qt_rewrite}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item  ----- $B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node nqt_match_rewrite,,, $B%/%*!<%H(B
+ @subsection @code{nqt_match_rewrite}
+ @findex nqt_match_rewrite
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
+ :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
+ @end table
+ @table @var
+ @item return
+ quote$B7?(B
+ @item Expr
+ quote$B7?(B
+ @item Rule
+ [@var{Pattern},@var{Action}] $B$+$^$?$O(B
+ [@var{Pattern},@var{Condition},@var{Action}].
+ $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
+ @item Mode
+ $B@0?t(B
+ @end table
+ @itemize @bullet
+ @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
+ @var{Exprt} $B<+BN$rLa$9(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$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
+ @end itemize
+ @comment %%Doc: cfep/tests/2006-03-12-qt.rr
+ @example
+ ctrl("print_quote",2);
+ nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
+    $B=PNO(B: (x)+((y)*(z))
+ A=`x*x;
+ nqt_match_rewrite(A,[`X*Y,`X+Y],1);
+    $B=PNO(B: x^2   ($B%^%C%A$7$F$$$J$$(B)
+ nqt_match_rewrite(A,[`X*Y,`X+Y],2);
+    $B=PNO(B: 2*x
+ $BE,9g$K$D$$$F$N%b!<%I$N0c$$$rM}2r$9$k$?$a$K<!$NNc$*$h$S(B fnode$BI8=`7A(B(qt_normalize) $B$r;2>H(B.
+ quotetolist(qt_normalize(`x*x,0));
+     $B=PNO(B:  [b_op,^,[internal,x],[internal,2]]
+ quotetolist(qt_normalize(`x*x,1));
+     $B=PNO(B:  [b_op,^,[internal,x],[internal,2]]
+ quotetolist(qt_normalize(`x*x,2));
+     $B=PNO(B:  [n_op,*,[internal,x],[internal,x]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{nqt_match},
+ @ref{qt_rewrite},
+ @ref{qt_normalize}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item   -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node qt_normalize,,, $B%/%*!<%H(B
+ @subsection @code{qt_normalize}
+ @findex qt_normalize
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item qt_normalize(@var{Expr}[,@var{Mode}])
+ :: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
+ @end table
+ @table @var
+ @item return
+ quote$B7?(B
+ @item Expr
+ quote$B7?(B
+ @item Mode
+ $B@0?t(B
+ @end table
+ fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
+ fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
+ $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
+ $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
+ fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
+ fnode $B$NI8=`7A$r(B fn $B$H=q$/$H$-(B, $BI8=`7A$N(B BNF$BIwI=8=$G$NDj5A$O0J2<$N$H$*$j(B.
+ @example
+  fn           = formula | functor(nf [,...]) | sum_of_monom
+      fnode $B$NI8=`7A(B.  functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
+  sum_of_monom = monom [+ ...]
+      $B%b%N%_%"%k$NOB(B
+  monom        = [formula *] nfpow [* ...]
+      $B%b%N%_%"%k(B
+  nfpow        = nf | nf^(nf)
+      $BQQ>hItJ,$NI8=`7A(B
+  formula      = Risa object
+ @end example
+ @itemize @bullet
+ @item  @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
+ @item $BE83+$O:F5"E*$G$"$k(B.
+ @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
+ (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
+ $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
+ @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$k$3$H$K$h$j(B, $B%Q%?!<%s%^%C%AMQ$N%Q%?!<%s$N?t$r8:$i$;$k$3$H$,7P83E*$K$o$+$C$F$$$k(B.
+ @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
+ @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
+ @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
+ @end itemize
+ @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
+ @comment %%cfep/tests/2006-03-12-qt.rr
+ @example
+ ctrl("print_quote",2);
+ A=quote((x-y)*(x+y));
+    $B=PNO(B:  ((x)-(y))*((x)+(y))
+ B=qt_normalize(A,0);
+    $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y))  Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
+ quotetolist(B);
+    $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
+ B=qt_normalize(A,1);
+    $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
+            Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
+ quotetolist(B);
+    $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
+ qt_normalize(A,2);
+    $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
+            Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(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]]]
+ qt_normalize(`x^2,2);
+    $B=PNO(B: (x)*(x)
+        Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{nqt_match},
+ @ref{nqt_match_rewrite},
+ @ref{quotetolist},
+ @ref{quote_to_funargs}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node qt_set_coef,,, $B%/%*!<%H(B
+ @subsection @code{qt_set_coef}
+ @findex qt_set_coef
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item qt_set_coef(@var{ParamList})
+ :: $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
+ $BHs2D49B?9`<0$r07$&(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B
+ @item  ParamList
+ $B%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
+ $BHs2D49B?9`<0$r07$&(B.
+ @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
+ @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
+ @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
+ @end itemize
+ @example
+ ctrl("print_quote",2);
+ qt_set_coef([a]);
+ B=qt_normalize(quote((a*x+a)^2),2);
+      $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
+ qt_normalize(B+B,2);
+      $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{qt_normalize}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node qt_set_ord,,, $B%/%*!<%H(B
+ @subsection @code{qt_set_ord}
+ @findex qt_set_ord
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item qt_set_ord(@var{VarList})
+ :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B
+ @item VarList
+ $B%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
+ @item $B$3$N@k8@$r$7$J$$$H$"$kITDj85$K$D$$$F$N4{Dj$N<-=q<0=g=x(B-----$B$^$@=q$$$F$J$$(B---$B$rMQ$$$F9`$rHf3S$9$k(B.
+ @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
+ @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
+ @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
+ @end itemize
+ @example
+ ctrl("print_quote",2);
+ qt_normalize(quote(x+y),2);
+      $B=PNO(B: (x)+(y)
+ qt_set_ord([y,x]);
+      $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
+ qt_normalize(quote(x+y),2);
+      $B=PNO(B: (y)+(x)
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{qt_normalize},
+ @ref{nqt_comp}
+ @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 -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node qt_set_weight,,, $B%/%*!<%H(B
+ @subsection @code{qt_set_weight}
+ @findex qt_set_weight
+ @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 qt_set_weight(@var{WeightVector})
+ :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B
+ @item WeightVector
+ $B%j%9%H(B
+ @end table
+ fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
+ @example
+  f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
+  $B$D$$$F$O$=$NCM(B.
+  f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
+    w(f+g) = max(w(f),w(g))
+    w(f g) = w(f) + w(g)
+    w(f^n) = n w(f)
+    $B4X?t$K$D$$$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$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
+ qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
+ @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
+ @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
+ @end itemize
+ @example
+ ctrl("print_quote",2);
+ qt_set_weight([[x,-1],[y,-1]]);
+      $B7k2L(B: [[x,-1],[y,-1]]
+ qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
+      $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{qt_normalize},
+ @ref{qt_set_ord},
+ @ref{qt_set_weight},
+ @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 -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @node nqt_comp,,, $B%/%*!<%H(B
+ @subsection @code{nqt_comp}
+ @findex nqt_comp
+ @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 nqt_cmp(@var{Expr1},@var{Exprt2})
+ :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @item Expr1, Expr2
+ quote$B7?(B
+ @end table
+ @itemize @bullet
+ @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
+ @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
+ @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
+ @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
+ @end itemize
+ @example
+ ctrl("print_quote",2);
+ qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
+ [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
+      $B=PNO(B: [-1,1,0]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{qt_normalize},
+ @ref{qt_set_ord},
+ @ref{qt_set_weight}
+ @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 $B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @comment ****************************************************************
+ @node qt_is_var qt_is_coef,,, $B%/%*!<%H(B
+ @subsection @code{qt_is_var}, @code{qt_is_coef}
+ @findex qt_is_var
+ @findex qt_is_coef
+ @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 qt_is_var(@var{Expr})
+ :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
+ @item qt_is_coef(@var{Expr})
+ :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B
+ @item Expr
+ quote$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$$$H$-(B 0 $B$rLa$9(B.
+ @end itemize
+ @example
+ [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
+      $B=PNO(B: [1,0]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{qt_rewrite},
+ @ref{nqt_match_rewrite}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item -----$B$^$@=q$$$F$J$$(B.
+ @end itemize
+ @comment ****************************************************************
+ @node qt_rewrite,,, $B%/%*!<%H(B
+ @subsection @code{qt_rewrite}
+ @findex qt_rewrite
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
+ :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
+ @end table
+ @table @var
+ @item return
+ quote$B7?(B
+ @item Expr
+ quote$B7?(B
+ @item Rules
+ $B%j%9%H(B
+ @item Mode
+ $B@0?t(B
+ @end table
+ @itemize @bullet
+ @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
+ @code{import("noro_rewrite.rr")}  $B$7$F$*$/$3$H(B.
+ (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
+ $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
+ @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
+ @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
+  $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
+ @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
+ @var{Pattern} $B$HF1$8=q$-J}(B.
+ $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
+ [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
+ @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
+ $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
+ $B$5$l$F$+$i?k9T$5$l$k(B.
+ @end itemize
+ $BCm0U(B: $B?t3XE*$K$O(B X*Y=Y*X $B$,2D49@-$rM?$($k5,B'$@$,(B, $B$3$l$r$=$N$^$^5,B'$H$7$F(B
+            $BM?$($k$H=q$-49$($,Dd;_$7$J$$(B. $B<!$NNc$G$O(B, $B>e$NNc$N$h$&$K=g=xHf3S$7(B, $B$?$H$($P(B,
+            $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
+ @example
+ import("noro_rewrite.rr");
+ R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
+ qt_rewrite(`(x-y)^2,R,2);
+      $B=PNO(B: quote(x*x+-2*x*y+y*y)
+ @end example
+ $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
+ @example
+ import("noro_rewrite.rr");
+ Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
+                   quote(-Y*X)];
+ Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
+ Rext2=[quote(X*X),quote(0)];
+ Rext=[Rext0,Rext1,Rext2];
+ qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
+      $B=PNO(B: 2*x*y
+ qt_set_coef([a,b,c,d]);
+ qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
+      $B=PNO(B: (d*a-c*b)*x*y
+ @end example
+ $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
+ @example
+ import("noro_rewrite.rr");
+ qt_set_coef([a,b]);
+ Rd1=[`d(X+Y), `d(X)+d(Y)];
+ Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
+ Rd3=[`d(N), `qt_is_coef(N), `0];
+ Rd4=[`d(x),`1];
+ Rd=[Rd1,Rd2,Rd3,Rd4];
+ B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
+      $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
+ fctr(eval_quote(B));
+      $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{nqt_match},
+ @ref{nqt_match_rewrite},
+ @ref{qt_normalize}
+ @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 qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
+ $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$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B.
+ @end itemize
+ @comment ****************************************************************
+ @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $BJ8;zNs=hM}(B
+ @comment --- $B"~"~"~"~(B  $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
+ @node copyright,,, $BJ8;zNs=hM}(B
  @subsection @code{copyright}
  @findex copyright
-Line 354  ChangeLog
+Line 1205  ChangeLog
 Line 354  ChangeLog
 Line 1205  ChangeLog
  @comment --- $B"~"~"~"~(B  $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
  @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
- @node string_to_tb tb_to_string write_to_tb,,, $B<B83E*;EMM$N4X?t(B
+ @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
  @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
  @findex string_to_tb
  @findex tb_to_string
-Line 398  ChangeLog
+Line 1249  ChangeLog
 Line 398  ChangeLog
 Line 1249  ChangeLog
  $B%G!<%?9=B$$G$"$k(B.
  @end itemize
  @example
  [219] T=string_to_tb("");
  [220] write_to_tb("Hello",T);
-Line 414  Hello world!
+Line 1265  Hello world!
 Line 414  Hello world!
 Line 1265  Hello world!
  @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
+ @node set_print_function,,, $BJ8;zNs=hM}(B
+ @subsection @code{set_print_function}
+ @findex set_print_function
- @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
+ @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$$$k(B.
+ @end itemize
+ @example
+ [219] def my_output(F) @{
+            print("Out: ",0); print(rtostr(F));
+       @}
+ [220] set_print_function("my_output");
+ Out: 0
+ [221]  1+2;
+ Out: 3
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{rtostr}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
+ @end itemize
+ @node printf fprintf sprintf,,, $BJ8;zNs=hM}(B
+ @subsection @code{printf}, @code{fprintf}, @code{sprintf}
+ @findex printf
+ @findex fprintf
+ @findex sprintf
+ @table @t
+ @item printf(@var{format}[,@var{args}])
+ @item fprintf(@var{fd},@var{format}[,@var{args}])
+ @item sprintf(@var{format}[,@var{args}])
+ :: C $B$K;w$?%W%j%s%H4X?t(B
+ @end table
+ @table @var
+ @item return
+ $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
+ @item format
+ $BJ8;zNs(B
+ @item fd
+ $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
+ @item args
+ $B%*%V%8%'%/%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(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 $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,,, $B<B83E*;EMM$N4X?t(B
+ @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
  @subsection @code{dp_gr_main}
  @findex dp_gr_main
-Line 463  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
+Line 1441  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 Line 463  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 Line 1441  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
  @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 } ']'
+   order         : '[' orderElement @{ ',' orderElement @} ']'
    orderElement   :  weightVec | builtinOrder
-   weightVec     : '[' weightElement { ',' weightElement } ']'
+   weightVec     : '[' weightElement @{ ',' weightElement @} ']'
    builtiniOrder : '[' orderName  ',' setOfVariables ']'
    weightElement :   NUMBER | setOfVariables ',' NUMBER
    setOfVariables:  V | range(V,V)
-Line 479  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
+Line 1457  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 Line 479  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 Line 1457  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
  $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$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
  @item
-Line 522  Gr\"obner Deformations of Hypergeometric Differential
+Line 1500  Gr\"obner Deformations of Hypergeometric Differential
 Line 522  Gr\"obner Deformations of Hypergeometric Differential
 Line 1500  Gr\"obner Deformations of Hypergeometric Differential
  [ R R R R R ]
  [(47774098944)*<<0,0,0,0,13>>+ ... ]
  [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
  [[v,[x,y]],[order,[[x,5,y,1]]]]
  [1154]  dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
  [ 5 1 ]
-Line 535  Gr\"obner Deformations of Hypergeometric Differential
+Line 1513  Gr\"obner Deformations of Hypergeometric Differential
 Line 535  Gr\"obner Deformations of Hypergeometric Differential
 Line 1513  Gr\"obner Deformations of Hypergeometric Differential
  ChangeLog
  @itemize @bullet
  @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
  @item
   @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
  @item
    $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$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=>$$;XDj$9$k(B.
  @item
    OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
  builtin/gr.c 1.56--1.57,
  builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
-Line 561  parse/parse.h 1.23--1.26
+Line 1539  parse/parse.h 1.23--1.26
 Line 561  parse/parse.h 1.23--1.26
 Line 1539  parse/parse.h 1.23--1.26
    attribute, ring $B9=B$BN(B.
  @end itemize
- @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
+ @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
- @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
+ @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
- @node asir-install.sh,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{asir-port.sh}, @code{asir-install.sh}
- @findex asir-port.sh
- @findex asir-install.sh
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
- @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
- @table @t
- @item asir-install.sh
- @itemx asir-port.sh
- :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(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
-Line 712  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
+Line 1574  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 Line 712  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 Line 1574  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
  @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$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
  @item
   $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
   K[x_1, ..., x_n, d_1, ..., d_n]
  $B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
   d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B.
   $B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B.
  @item
   $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
   K[x_1, ..., x_n, d_1, ..., d_n, h]
  $B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
   d_i x_i = x_i d_i + h^2
  $B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B.
   $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
  @end itemize
-Line 761  dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
+Line 1623  dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
 Line 761  dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
 Line 1623  dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
  ChangeLog
  @itemize @bullet
  @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
  @item
    OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
  builtin/dp-supp.c 1.32--1.33
  builtin/dp.c 1.49--1.50
  @end itemize
  @comment --- $B"~"~"~"~(B  $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
- @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B
+ @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
  @subsection @code{dp_initial_term}
  @findex dp_initial_term
-Line 792  builtin/dp.c 1.49--1.50
+Line 1654  builtin/dp.c 1.49--1.50
 Line 792  builtin/dp.c 1.49--1.50
 Line 1654  builtin/dp.c 1.49--1.50
  @itemize @bullet
  @item
   dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
   $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
   $B$H=q$+$l$F$$$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
-Line 824  builtin/dp.c 1.49--1.50
+Line 1686  builtin/dp.c 1.49--1.50
 Line 824  builtin/dp.c 1.49--1.50
 Line 1686  builtin/dp.c 1.49--1.50
  @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
+ @node dp_order,,, $B%0%l%V%J!<4pDl(B
  @subsection @code{dp_order}
  @findex dp_order
-Line 859  builtin/dp.c 1.49
+Line 1721  builtin/dp.c 1.49
 Line 859  builtin/dp.c 1.49
 Line 1721  builtin/dp.c 1.49
   $B$?$H$($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
-Line 886  builtin/dp.c 1.49
+Line 1748  builtin/dp.c 1.49
 Line 886  builtin/dp.c 1.49
 Line 1748  builtin/dp.c 1.49
  @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 nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
- @node mapat,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
- @subsection @code{mapat}
+ @findex nd_gr (module)
- @findex mapat
+ @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 mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
+ @item  nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
- :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
+ @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%*%V%8%'%/%H(B
+ $B%j%9%H$N%j%9%H(B
- @item pos
- $B@0?t(B
- @item arg0, arg1, arg2, ...
- $B%*%V%8%'%/%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-port.sh 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$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
+ @end table
+ @itemize @bullet
  @item
- @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
+ asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
- $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$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$$ItJ,$r(B
+  ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
+ /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
+ .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
  @item
- @code{mapat(fname,0,A0,A1,...)} $B$O(B
+ asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
- @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
+ asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
+ /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
+ @end itemize
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @noindent
+ ChangeLog
+ @itemize @bullet
  @item
- $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
+  $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B.
+ @item
+   knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$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 $B4D6-JQ?t(B TEMP $B$G;XDj$5$l$?%U%)%k%@$K$3$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
- [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
+ // cl test.c user32.lib
- [2,3]
- [220] mapat(subst,1,x+y+z,[x,y,z],2);
+ #include <windows.h>
- [y+z+2,x+z+2,x+y+2]
+ #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{map}
+ @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
-Line 940  builtin/dp.c 1.49
+Line 1990  builtin/dp.c 1.49
 Line 940  builtin/dp.c 1.49
 Line 1990  builtin/dp.c 1.49
  @noindent
  ChangeLog
  @itemize @bullet
- @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
+ @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
+ @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
- @comment  list
- @node list,,, $B<B83E*;EMM$N4X?t(B
- @subsection @code{list}
- @findex list
+ @comment ****************************************************************
+ @node chdir pwd,,, $B%7%9%F%`(B
+ @subsection @code{chdir}, @code{pwd}
+ @findex chdir
+ @findex pwd
+ @comment --- $B%G%#%l%/%H%jA`:n(B ---
  @table @t
- @item list([@var{arg0}, @var{arg1}, ...])
+ @item chdir(@var{directory})
- :: list $B$r@8@.$9$k(B.
+ @item  pwd()
+ :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
  @end table
  @table @var
  @item return
- $B%j%9%H(B
+ $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
- @item arg0, arg1, arg2, ...
+ @item dirctory
- $B%*%V%8%'%/%H(B
+ $BJ8;zNs(B
  @end table
  @itemize @bullet
  @item
- @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
+ @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
+ @item
+ @code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B.  $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B.
  @end itemize
  @example
- [219] list(1,2,3);
+ [0] S=pwd();
- [1,2,3]
+ /home/ohara
- [220] list(1,2,[3,4]);
+ [1] chdir(".../taka");
- [1,2,[3,4]]
+ -1
+ [2] chdir("/usr/bin");
  @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.
+ @item
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
+ $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 set_print_function,,, $B<B83E*;EMM$N4X?t(B
+ @node dcurrenttime,,, $B%7%9%F%`(B
- @subsection @code{set_print_function}
+ @subsection @code{dcurrenttime}
- @findex set_print_function
+ @findex dcurrenttime
- @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- $B8=:_;~9o$r<hF@(B ---
  @table @t
- @item set_print_function([@var{fname}])
+ @item  dcurrenttime()
- :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
+ :: $B8=:_;~9o$r<hF@(B.
  @end table
  @table @var
  @item return
- $B@0?t(B
+ $BIbF0>.?tE@?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.
+ $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(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$$$k(B.
  @end itemize
  @example
- [219] def my_output(F) {
+ [0] ctrl("real_digit", 16);
-            print("Out: ",0); print(rtostr(F));
-       }
+ [1] dcurrenttime();
- [220] set_print_function("my_output");
+ 1226390851.34476
- Out: 0
+ [2] currenttime();
- [221]  1+2;
+ 1226390854
- Out: 3
  @end example
  @table @t
  @item $B;2>H(B
- @ref{rtostr}
+ @ref{currenttime}
  @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
  @noindent
  ChangeLog
  @itemize @bullet
- @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
+ @item
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
+ $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
+ $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
  @end itemize
- @node small_jacobi,,, $B<B83E*;EMM$N4X?t(B
+ @node getpid,,, $B%7%9%F%`(B
- @subsection @code{small_jacobi}
+ @subsection @code{getpid}
- @findex small_jacobi
+ @findex getpid
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item small_jacobi(@var{a},@var{m})
+ @item getpid()
- :: Jacobi $B5-9f$N7W;;(B
  @end table
  @table @var
  @item return
  $B@0?t(B
- @item arg1, arg2
- $B@0?t(B
  @end table
  @itemize @bullet
- @item
+ @item asir $B$N%W%m%;%9HV9f$rLa$9(B.
-  @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
+ @item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U$G$"$k(B.
-  x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$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);
+ [219] getpid();
- -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
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
  @noindent
  ChangeLog
  @itemize @bullet
- @item $B$3$N4X?t$NM3Mh$OITL@(B.
+ @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$$$k(B.
+ src/asir-contrib/packages/src/misc/rr 1.3,
+ asir2000/builtin/file.c 1.28, rat.c 1.5,
+ asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
  @end itemize
- @node flatten_quote,,, $B<B83E*;EMM$N4X?t(B
+ @node loadpath,,, $B%7%9%F%`(B
- @subsection @code{flatten_quote}
+ @subsection @code{loadpath}
- @findex flatten_quote
+ @findex loadpath
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
  @table @t
- @item flatten_quote(@var{q},@var{op})
+ @item ctrl(``loadpath''[,list])
- :: quote $B$N3g8L$r$H$j$5$k(B.
  @end table
  @table @var
+ @item list
+ $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B
  @item return
- Quote
+ $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B, $B$^$?$O?t(B(list$B$,M?$($i$l$?$H$-(B)
- @item q
- Quote
- @item op
- $B1i;;;R$rI=$9J8;zNs(B.
  @end table
  @itemize @bullet
- @item
+ @item asir $B$NAH$_9~$_4X?t(B ctrl $B$N%9%$%C%A$N$R$H$D$G$"$k(B.
- Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
+ @item asir $B$N%m!<%I%Q%9$N=PNO$^$?$O@_Dj$r9T$&(B.
- ( quotetolist $B;2>H(B ).
- @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
- $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
- $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
- $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&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.
- @item  R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
-   + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
- @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
  @end itemize
  @example
- [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
+ [0] L=ctrl("loadpath");
- quote(1+2+3+4*(x+3))
+ [/home/you/OpenXM/lib/asir-contrib,/home/you/OpenXM/lib/asir,.]
- [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
+ [1] ctrl("loadpath", cons(getenv("HOME")+"/lib",L));
- quote(x*y*p*3-x*y*z)
- [1290] quotetolist(quote(1+2+3));
- [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
  @end example
- @table @t
- @item $B;2>H(B
- @ref{quotetolist}, @ref{print_tex_form}(contrib)
- @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
+ @item $B$3$N4X?t$O(B 2014-5-12 $B$K%3%_%C%H$5$l$?(B.
-  $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
+ $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.41) $B$G$"$k(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
+ @node sysinfo,,, $B%7%9%F%`(B
+ @subsection @code{sysinfo}
+ @findex sysinfo
  @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 assoc(@var{a},@var{b})
+ @item sysinfo()
- :: $BO"A[%j%9%H$r$D$/$k(B
  @end table
  @table @var
  @item return
- List
+ $BJ8;zNs$N%j%9%H(B
- @item a
- List
- @item b
- List
  @end table
  @itemize @bullet
- @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
+ @item asir $B$NF0:n$7$F$$$k%*%Z%l!<%F%#%s%0%7%9%F%`$N>pJs$rJV$9(B.
- [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
+ @item $B%j%9%H$N3F@.J,$O(B, OS$B%?%$%W(B, $B%+!<%M%kL>(B, OS$BL>(B, CPU$B%?%$%W(B, OS$B%P!<%8%g%s(B, $B40A4$J>pJs(B, $B%m%1!<%k$G$"$k(B.
- $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
+ @item OS$B%?%$%W$O(B unix, macosx, windows $B$N$$$:$l$+$G$"$k(B.
+ @item unix $B$*$h$S(B macosx $B$K$*$$$F$O(B, $B%7%9%F%`%3!<%k$*$h$S(B uname $B%3%^%s%I$K$h$j>pJs$r<hF@$7$F$$$k(B.
+ windows $B$G$O(B, GetVersionEx() $B$J$I$N(B Win32 API $B$,MQ$$$i$l$F$$$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"];
+ [0] sysinfo();
- [dog,cat,snake]
+ [windows,WindowsNT,Windows7,x86_64,6.1.7601,WindowsNT 6.1.7601 Windows7 Service Pack 1 x86_64,ja]
- [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
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
  @noindent
  ChangeLog
  @itemize @bullet
- @item
+ @item $B$3$N4X?t$O(B 2014-5-14 $B$K%3%_%C%H$5$l$?(B.
-  $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
+ $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.42) $B$G$"$k(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
+ @comment ****************************************************************
- @subsection @code{sprintf}
- @findex sprintf
+ @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
+ @section $B8@8l(B
+ @node get_struct_name get_element_names get_element_at put_element_at,,, $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 sprintf(@var{format}[,@var{args}])
+ @item get_struct_name(@var{s})
- :: C $B$K;w$?%W%j%s%H4X?t(B
+ @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 format
+ @item obj
- $BJ8;zNs(B
- @item args
  $B%*%V%8%'%/%H(B
  @end table
  @itemize @bullet
  @item
- $B%U%)!<%^%C%HJ8;zNs(B @var{format } $B$K$7$?$,$$(B @var{args} $B$rJ8;zNs$KJQ49$9$k(B.
+  @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
  @item
- $B%U%)!<%^%C%HJ8;zNs$NCf$K(B @code{%a} (any) $B$,MxMQ2DG=(B.
+  @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
- @var{args} $B$N8D?t$O%U%)!<%^%C%HJ8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(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
- [0] sprintf("%a: rat = %a",10,x^2-1);
+ [219]  struct point @{ x, y, color@};
-: rat = x^2-1
+ [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{rtostr}
+ @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
-Line 1248  ChangeLog
+Line 2279  ChangeLog
 Line 1248  ChangeLog
 Line 2279  ChangeLog
  @noindent
  ChangeLog
  @itemize @bullet
- @item
+ @item  $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
-  $B$3$N4X?t$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
+        asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
+ @item  OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
- @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
+ @comment  mapat
- @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
+ @node mapat,,, $B8@8l(B
- @findex quote_to_funargs
+ @subsection @code{mapat}
- @findex funargs_to_quote
+ @findex mapat
- @findex remove_paren
  @table @t
- @item quote_to_funargs(@var{q})
+ @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
- ::  quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
+ :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
- @item funargs_to_quote(@var{f})
- ::  funarg $B7A<0$r(B quote $B$X(B.
- @item get_function_name(@var{f})
- ::  funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
- @item remove_paren(@var{q})
- ::  $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
  @end table
  @table @var
  @item return
- quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
+ $B%*%V%8%'%/%H(B
- @item q
+ @item pos
- quote
+ $B@0?t(B
- @item f
+ @item arg0, arg1, arg2, ...
- $B%j%9%H(B
+ $B%*%V%8%'%/%H(B
  @end table
  @itemize @bullet
  @item
-  @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
+ @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
- quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
+ $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$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$$(B.
  @item
-  @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
+ @code{mapat(fname,0,A0,A1,...)} $B$O(B
- $B$J$k7A<0$r$7$F$$$k(B.
+ @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$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$$$F?M4V$,FI$a$k7A<0(B
- $B$G<h$j$@$;$k(B.
- $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
- $B$O(B "+" $B$rLa$9(B.
- @item
-  $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
  @item
-  $B2<$NNc$G(B
+ $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
-  quote_to_funargs(FA[2]);
- [34,[b_op,+,[internal,x],[internal,1]]]
- $B$H$J$k(B.
-$B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
- $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
- $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
- $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$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,
-         I_NARYOP
  @end itemize
- $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
  @example
- [0] ctrl("print_quote",1) $
+ [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
+ [2,3]
+ [220] mapat(subst,1,x+y+z,[x,y,z],2);
+ [y+z+2,x+z+2,x+y+2]
+ @end example
- [1] Q=quote((x+1)+(x+2));
+ @table @t
- [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
+ @item $B;2>H(B
-         [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
+ @ref{map}
+ @end table
- [2] FA=quote_to_funargs(Q);
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
- [0,<...quoted...>,
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
-   [u_op,(),[b_op,+,[internal,x],[internal,1]]],
+ @noindent
-   [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
+ @end itemize
- [3] FA2=quote_to_funargs(FA[2])[1];
+ @comment  list
- [b_op,+,[internal,x],[internal,1]]
+ @node list,,, $B8@8l(B
+ @subsection @code{list}
+ @findex list
- [4] FA3=quote_to_funargs(FA[3])[1];
+ @table @t
- [b_op,+,[internal,x],[internal,2]]
+ @item list([@var{arg0}, @var{arg1}, ...])
+ :: list $B$r@8@.$9$k(B.
+ @end table
- [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
+ @table @var
- [b_op,+,[b_op,+,[internal,x],[internal,1]],
+ @item return
-         [b_op,+,[internal,x],[internal,2]]]
+ $B%j%9%H(B
- @end example
+ @item arg0, arg1, arg2, ...
+ $B%*%V%8%'%/%H(B
+ @end table
- $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
+ @itemize @bullet
+ @item
+ @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
+ @end itemize
  @example
- [1287] load("noro_simplify.rr");
+ [219] list(1,2,3);
+ [1,2,3]
- [1293] noro_simplify.remove_paren(quote( f(1-(x))));
+ [220] list(1,2,[3,4]);
- quote(f(1-x))
+ [1,2,[3,4]]
  @end example
- funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
+ @table @t
- $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
+ @item $B;2>H(B
+ @ref{cons}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
+ @end itemize
+ @node assoc,,, $B8@8l(B
+ @subsection @code{assoc}
+ @findex assoc
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item assoc(@var{a},@var{b})
+ :: $BO"A[%j%9%H$r$D$/$k(B
+ @end table
+ @table @var
+ @item return
+ List
+ @item a
+ List
+ @item b
+ List
+ @end table
+ @itemize @bullet
+ @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
+ [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
+ $B$J$k?7$7$$%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$$$k(B.
+ @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
  @example
- [1184] R=quote_to_funargs(quote(a+(b+c)));
+ [1192]  A=["dog","cat","snake"];
- [0,<...quoted...>,<...quoted...>,<...quoted...>]
+ [dog,cat,snake]
- [1185] T=quote_to_funargs(quote(1+2));
+ [1193] B=[4,4,0];
- [0,<...quoted...>,<...quoted...>,<...quoted...>]
+ [4,4,0]
- [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
+ [1194] assoc(A,B);
- quote(a+1)
+ [[dog,4],[cat,4],[snake,0]]
  @end example
  @table @t
  @item $B;2>H(B
- @ref{quotetolist}
+ @ref{cons}, @ref{append}
  @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
  @noindent
  ChangeLog
  @itemize @bullet
  @item
-  $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
+  $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
-  $B$N<B83E*4X?t$G$"$k(B.
+  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
-  $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
+  builtin/list.c 1.9
- @item
+  parse/eval.c 1.35,
-  $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
+  parse/parse.h 1.31,
- @item
+  parse/quote.c 1.14--1.16.
--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$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
  @end itemize
- @node set_secure_flag,,, $B<B83E*;EMM$N4X?t(B
+ @node set_secure_flag set_secure_mode,,, $B8@8l(B
  @subsection @code{set_secure_flag}, @code{set_secure_mode}
  @findex set_secure_flag
  @findex set_secure_mode
-Line 1405  ChangeLog
+Line 2460  ChangeLog
 Line 1405  ChangeLog
 Line 2460  ChangeLog
  @end table
  @itemize @bullet
  @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
  asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
  @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
  @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
  $B4X?t$7$+<B9T$G$-$J$$(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
-Line 1451  return to toplevel
+Line 2506  return to toplevel
 Line 1451  return to toplevel
 Line 2506  return to toplevel
  @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$$(B.
-Line 1464  v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B
+Line 2519  v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B
 Line 1464  v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B
 Line 2519  v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B
  $BMxMQ$9$k(B.
  cgi-asir.sh $B$G$O(B
  @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
- @item
-.24--1.25      OpenXM_contrib2/asir2000/builtin/miscf.c
  @item
-.36--1.38      OpenXM_contrib2/asir2000/parse/eval.c
+.24--1.25      OpenXM_contrib2/asir2000/builtin/miscf.c
  @item
-.6--1.7       OpenXM_contrib2/asir2000/parse/function.c
+.36--1.38      OpenXM_contrib2/asir2000/parse/eval.c
  @item
+.6--1.7       OpenXM_contrib2/asir2000/parse/function.c
+ @item
 .33      OpenXM_contrib2/asir2000/parse/parse.h
  @end itemize
- @node double_quote,,, $B<B83E*;EMM$N4X?t(B
+ @node initialize_static_variable,,, $B8@8l(B
- @subsection @code{double_quote}
+ @subsection @code{initialize_static_variable}
- @findex double_quote
+ @findex initialize_static_variable
  @comment --- $B@bL@(B ---
  @table @t
- @item double_quote,  double quote $B$N<h07$d(B static $BJQ?t$N=i4|2=$NLdBjE@(B.
+ @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
  @end table
  @itemize @bullet
- @item double quote $B$N<h07(B.  $B2<$N$h$&$J%W%m%0%i%`$G(B parse error $B$,@8$8$k(B.
- $BLnO$[)$/(B: "TeXmacs $BMQ$K(B, $BE:;z$N<+F0JQ49$J$I$r$d$C$F$$$k$H$-$K(B, ox_asir $B$,<u$1<h$C$?(B
- $BJ8;zNs$N%P%C%/%9%i%C%7%e$,(B1 $B8D$N>l9g$K(B 2 $B8D$KA}$d$9$H$$$&4X?t$,DI2C(B
- $B$5$l$F$$$^$9(B. $B;n$7$K$3$l$r30$9$H(B OK $B$N$h$&$G$9(B. $B$G$b$-$C$HB>$G$*$+$7$J(B
- $B$3$H$,5/$-$k$G$7$g$&$M(B.
- $B;W$$=P$7$F$-$^$7$?(B. TeX $B$rAw$k$H$-$K(B, $B%P%C%/%9%i%C%7%e$@$i$1$K(B
- $B$J$k$N$rHr$1$k$?$a$@$C$?$h$&$J(B... "
  @item static $BJQ?t$N<h07(B.
  $B2<$NNc$r;2>H$N$3$H(B.
  @end itemize
- @example
- if (1) @{
-   S="\"hoge\"";
-   print(S);
- @}else@{ @};
- $B$r(B $B%U%!%$%k(B t.rr $B$K3JG<(B.
- [1207] S=util_read_file_as_a_string("/home/nobuki/t.rr");
- if (1) @{
-   S="\"hoge\"";
-   print(S);
- @}else@{ @};
- [1208] eval_str(S);
- exprparse : parse error
- t.rr $B$r(B
- if (1) @{
-   S=" "+asciitostr([34])+"hoge"+asciitostr([34])+" ";
-   print(S);
- @}else@{ @};
- $B$HJQ99(B.  S $B$KFI$_9~$`(B.
- [1212] eval_str(S);
- exprparse : parse error
- S="" $B$,$J$/$F$b(B if (1) $B$@$H%(%i!<$N$h$&$@(B.
- [1213] ox_launch(0,"ox_asir");
- [1214] ox_execute_string(0,S);
-  $B$7$+$7$3$A$i$O@5$7$/F0:n(B.
- @end example
  @example
  if (1) @{
   module abc;
-Line 1541  if (1) @{
+Line 2555  if (1) @{
 Line 1541  if (1) @{
 Line 2555  if (1) @{
  @} else @{ @};
  end$
  $B$r(B t.rr $B$H$9$k$H$-(B,
  [6] load("./t.rr");
-Line 1568  end$
+Line 2582  end$
 Line 1568  end$
 Line 2582  end$
  $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
  @end example
  @comment --- ChangeLog
  @noindent
  ChangeLog
  @itemize @bullet
  @item  oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B.  2005.07.25.
+ @item  oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$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 function,,, $B8@8l(B
+ @subsection @code{function}
+ @findex function
+ @table @t
+ @item function $B@k8@$9$k$3$H$K$h$jH!?t7A<0$NITDj85$r@8@.$G$-$k(B.
+ @end table
+ @comment --- $B@bL@(B ---
+ @table @t
+ @item function $B@k8@$9$k$3$H$K$h$jH!?t7A<0$NITDj85$r@8@.$G$-$k(B.
+ @item $BHyJ,H!?t(B diff $B$O$3$NH!?t7A<0$NITDj85$NHyJ,$r$d$O$jH!?t7A<0$NITDj85$H$7$F@8@.$9$k(B.
+ $B$?$H$($P(B f@{1,2@}(x,y) $B$O(B f $B$r(B x $B$K$D$$$F0l3,JPHyJ,(B, y $B$K$D$$$F(B 2$B3,JPHyJ,$7$?$b$N(B.
+ @item diff $B$O9g@.4X?t$H$7$F$N=hM}$b9T$&(B.
+ @end table
+ @example
+ [1915] function f(x,y);
+ [1916] F=f(f(x,y),y)$
+ [1917] diff(F,y);
+ f@{1,0@}(f(x,y),y)*f@{0,1@}(x,y)+f@{0,1@}(f(x,y),y)
+ [1918] vtype(f(p,q));
+ [1919] deg(diff(F,y),f@{0,1@}(x,y));
+ @end example
+ @xref{vtype}
+ @xref{diff}
+ @comment --- ChangeLog
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item  $B$$$D$N(B commit $B$GF3F~$5$l$?$+ITL@(B.
+ @end itemize
  @comment ****************************************************************
- @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
+ @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})
+ :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B,
+ $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item Id
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+ ($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(B, $B%$%G%"%k(B
+ @iftex
+ @tex
+ $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
+ @end tex
+ $B$H$*$$$?;~(B, D $B2C72(B
+ @tex $M = D / I$ @end tex
+ $B$N(B
+ @tex $x$ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{ x dx -1, y dy - 1 @} $B$H$*$$$?;~(B,
+ D $B2C72(B M = D / I $B$N(B x
+ @end ifinfo
+ $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
+ @example
+ [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
+ -- generic_bfct_and_gr :0.001sec(0.001629sec)
+ generic bfct : [[1,1],[s-1,1]]
+ S0 : 1
+ B_@{S0@} length : 2
+ -- fctr(BF) + base :0.000999sec(0.0005109sec)
+ [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
+ @end example
+ $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
+ $B@)8B2C72$N4pDl(B
+ @iftex
+ @tex $\partial_x^1, \partial_x^0$ @end tex
+ $B$r0UL#$7(B,
+ $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
+ @tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex
+ @end iftex
+ @ifinfo
+ dx^1, dx^0
+ $B$r0UL#$7(B,
+ $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
+ (y dy - 1, 0), (0, ydy-1), (-1,0)
+ @end ifinfo
+ $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
+ @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
+ @subsection @code{nk_restriction.restriction_ideal}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.restriction_ideal
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
+ :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9(B.
+ @end table
+ @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
+ @end table
+ @itemize @bullet
+ @item
+ @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+ ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
+ @item
+ $B@5$N=E$_$r;}$DJQ?t$K$D$$$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$$$F@)8B$r9T$&(B.
+ @end itemize
+ $B0J2<$O(B, $B%$%G%"%k(B
+ @iftex
+ @tex $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ @end tex
+ $B$N(B
+ @tex $x$ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
+ @end ifinfo
+ $B$K$D$$$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]);
+ -- generic_bfct_and_gr :0.002sec(0.001652sec)
+ generic bfct : [[1,1],[s-1,1]]
+ S0 : 1
+ B_@{S0@} length : 2
+ -- fctr(BF) + base :0sec(0.000566sec)
+ -- restriction_ideal_internal :0.001sec(0.0007441sec)
+ [-1]
+ @end example
+ @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})
+ :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item Id
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item
+ @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+ ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
+ @item
+ $B@5$N=E$_$r;}$DJQ?t$K$D$$$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$$$F@QJ,$r9T$&(B.
+ @end itemize
+ $B0J2<$O(B, $B%$%G%"%k(B
+ @iftex
+ @tex $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\}$ @end tex
+ $B$H$*$$$?;~(B, D $B2C72(B
+ @tex $M = D / I$ @end tex
+ $B$N(B
+ @tex $t$ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @}
+ $B$H$*$$$?;~(B, D $B2C72(B M = D / I $B$N(B t
+ @end ifinfo
+ $B$K$D$$$F$N@QJ,2C72$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],
+ [dt,dx],[1,0]);
+ -- generic_bfct_and_gr :0.001sec(0.001796sec)
+ generic bfct : [[1,1],[s,1],[s-1,1]]
+ S0 : 1
+ B_@{S0@} length : 2
+ -- fctr(BF) + base :0.001sec(0.0006731sec)
+ [[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
+ $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
+ $B@QJ,2C72$N4pDl(B
+ @iftex
+ @tex $t^1, t^0$ @end tex
+ @end iftex
+ @ifinfo
+ t^1, t^0
+ @end ifinfo
+ $B$r0UL#$7(B,
+ $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B
+ @iftex
+ @tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x),
+ (0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex
+ @end iftex
+ @ifinfo
+ (4 x dx^2 + 6 dx, 0), (0, -4 x dx^2 - 6 dx),
+ (0, -2 x dx), (0, 2 dx)
+ @end ifinfo
+ $B$G@8@.$5$l$k$3$H$,$o$+$k(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$$$F$N@QJ,%$%G%"%k$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item Id
+ $B%$%G%"%k$N@8@.85$N%j%9%H(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item
+ @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+ ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
+ @item
+ $B@5$N=E$_$r;}$DJQ?t$K$D$$$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$$$F@QJ,$r9T$&(B.
+ @end itemize
+ $B0J2<$O(B, $B%$%G%"%k(B
+ @iftex
+ @tex
+ $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
+ @end tex
+ $B$N(B
+ @tex $t$ @end tex
+ @end iftex
+ @ifinfo
+ I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
+ @end ifinfo
+ $B$K$D$$$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],
+ [dt,dx],[1,0]);
+ -- generic_bfct_and_gr :0.002999sec(0.002623sec)
+ generic bfct : [[1,1],[s,1],[s-1,1]]
+ S0 : 1
+ B_@{S0@} length : 2
+ -- fctr(BF) + base :0.001sec(0.001091sec)
+ -- integration_ideal_internal :0.002sec(0.001879sec)
+ [2*x*dx+1]
+ @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
+ @node nk_restriction.module_restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
+ @subsection @code{nk_restriction.module_restriction}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.module_restriction
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W})
+ :: D $B2C72(B D^r/@var{M} (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item M
+ D $B<+M32C72(B D^r $B$NItJ,2C72(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+ @comment{($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)}
+ $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
+ @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
+ @item
+ $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
+ $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
+ x $B$K$D$$$F@)8B$r9T$&(B.
+ @end itemize
+ $B0J2<$O(B, D $B<+M32C72(B
+ @iftex
+ @tex $D^2$ @end tex
+ $B$NItJ,2C72(B
+ @tex
+ $M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$
+ @end tex
+ $B$r$H$j(B, D $B2C72(B
+ @tex $D^2 / M$ @end tex
+ $B$N(B
+ @tex $x$ @end tex
+ @end iftex
+ @ifinfo
+ D^2 $B$NItJ,2C72(B M = D . @{ (dx, dy), (dy, dx), (x, y) @}
+ $B$r$H$j(B, D $B2C72(B D^2 / M $B$N(B x
+ @end ifinfo
+ $B$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
+ @example
+ [2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]);
+ ....
+ bfunction :
+ s
+ [[1,1],[s,1]]
+ integer roots :
+ [0,0]
+ Generators:
+ [e1,e2]
+ Relations:
+ [-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1]
+ [[0,-1],[-dy^2,0],[y*dy-1,0]]
+ @end example
+ $B@)8B2C72$O(B
+ @iftex
+ @tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex
+ @end iftex
+ @ifinfo
+ (0, -1), (-dy^2, 0), (y, dy-1, 0)
+ @end ifinfo
+ $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
+ @node nk_restriction.module_integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
+ @subsection @code{nk_restriction.module_integration}
+ @comment --- $B:w0zMQ%-!<%o!<%I(B
+ @findex nk_restriction.module_integration
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @table @t
+ @item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W})
+ :: D $B2C72(B D^r/M (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
+ @end table
+ @comment --- $B0z?t$N4JC1$J@bL@(B ---
+ @table @var
+ @item M
+ D $B<+M32C72(B D^r $B$NItJ,2C72(B
+ @item VL
+ $BJQ?t$N%j%9%H(B
+ @item DVL
+ $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+ @item W
+ $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item
+ @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+ @comment{($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)}
+ $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
+ @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
+ @item
+ $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
+ $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
+ x $B$K$D$$$F@QJ,$r9T$&(B.
+ @end itemize
+ $B0J2<$O(B, D $B<+M32C72(B
+ @iftex
+ @tex $D^2$ @end tex
+ $B$NItJ,2C72(B
+ @tex $M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ @end tex
+ $B$r$H$j(B, D $B2C72(B
+ @tex $D^2/M$ @end tex
+ $B$N(B
+ @tex $x$ @end tex
+ @end iftex
+ @ifinfo
+ D^2 $B$NItJ,2C72(B M = D . @{ (x, y), (y, x), (dx, dy) @} $B$r$H$j(B,
+ D $B2C72(B D^2 / M $B$N(B x
+ @end ifinfo
+ $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B.
+ @example
+ [2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]);
+ ...
+ bfunction :
+ s
+ [[1,1],[s,1]]
+ integer roots :
+ [0,0]
+ Generators:
+ [e1,e2]
+ Relations:
+ [-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1]
+ [[0,-1],[y*dy+2,0],[-y^2,0]]
+ @end example
+ $B@QJ,2C72$O(B
+ @iftex
+ @tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex
+ @end iftex
+ @ifinfo
+ (0, -1), (y dy + 2, 0), (-y^2, 0)
+ @end ifinfo
+ $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
+ @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$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
+ @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B.
+ @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B
+ $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
+ @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
+ @item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(B.
+ @end itemize
+ @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
+ @section $B$=$NB>(B($BL$J,N`(B)
+ @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_pfn.rkn}
+ @findex tk_pfn.rkn
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
+ :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B  $BFHN)JQ?t$H2r$NAH(B
+ @item F, X, Y, Xs, Ys, Ht, H
+ @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
+ @var{X} $B$OFHN)JQ?t%j%9%H(B.
+ @var{Y} $B$O=>B0JQ?t%j%9%H(B.
+ @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
+ @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
+ @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
+ @var{H} $B$OHy>/?t(B.
+ @end table
+ @itemize @bullet
+ @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
+ @item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B.
+ @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$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B.
+ @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
+ @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$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 $B2<$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.
+ @item $B;29M(B. taka_runge_kutta.rr, yang.rr
+ @end itemize
+ @example
+ [1355] import("tk_pfn.rr");
+ [1590]  tk_pfn.test1();
+ Value at (3,0.1)[8.99,6,-0.2]
+ Value at (1,3)[-8,2,-6]
+ [[[1,3],-8,2,-6],
+  [[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 tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
+ :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B  $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
+ [x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B
+ y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
+ @item Pf, Dom, Iv, Step
+ @var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.  $BFHN)JQ?t$O(B x, y $B$G8GDj(B.
+ @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
+ @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
+ @var{Step} $B9o$_I}(B.
+ @end table
+ @itemize @bullet
+ @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
+ @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$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 tk_rk.runge_kutta_4(@var{Eq},@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
+ @end table
+ @table @var
+ @item return
+ $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 taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$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 return
+ $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 P, X, Y, Step
+ @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{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$$(B.
+ @var{Step} $B9o$_I}(B.
+ @item X0, Y0, Terminal
+ @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
+ @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
+ @var{Terminal} @var{X} $B$N=*CeE@(B.
+ @end table
+ @itemize @bullet
+ @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
+ @end itemize
+ @example
+ [1355] import("taka_runge_kutta.rr");
+ [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
+ [1591] taka_plot_auto(A);
+ $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
+ taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
+ @end example
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
+ @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
+ @end itemize
+ @node fj_simplify.simplify,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{fj_simplify.simplify}
+ @findex fj_simplify.simplify
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item fj_simplify.simplify(@var{arg1})
+ :: arg1 $B$r4JC12=$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
+ @item arg1
+ $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
+ @end table
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B
+ Joel S. Cohen, Computer Algebra and Symbolic Computation,
+ http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
+ $B$K5-=R$5$l$F$$$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
+ import("fj_simplify.rr");
+ [1434] fj_simplify.simplify((x^(1/2))^3);
+ ((x)^(3/2))
+ [1435] fj_simplify.simplify((2^(1/2))^2);
+ [1436] fj_simplify.simplify((2+2^(1/2))^3);
+*((2)^(1/2))+20
+ [1437] fj_simplify.simplify(exp(x)*exp(-x+y));
+ ((@@e)^(y))
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{quote}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @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$$$?$b$N(B.
+ @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
+ @end itemize
+ @node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{ot_hgm_ahg.cbase}
+ @findex ot_hgm_ahg.cbase
+ @table @t
+ @item cbase(@var{A})
+ ::  @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B.
+ @end table
+ @table @var
+ @item return
+ Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B
+ @item A
+ $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item A-$BD64v2?%$%G%"%k$N(B Q(x)[dx] $B$K$*$1$kI8=`4pDl$O(B Pfaffian $B$N4pDl$H$J$k$,(B, $B5U$O$+$J$i$:$7$b??$G$O$J$$(B.  $B8D?t$O$b$A$m$sF1$8$G$"$k(B.
+ @item
+ $B%"%k%4%j%:%`$O(B
+ T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103
+ $B$K$h$k(B.
+ $B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B.
+ @end itemize
+ @example
+ [2190] import("ot_hgm_ahg.rr");
+ [2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]);
+ We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2]
+ [dx3,dx4,1]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{get_mat2}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B 2012  $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
+ @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog  ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
+ @end itemize
+ @node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{ot_hgm_ahg.get_mat2}
+ @findex ot_hgm_ahg.get_mat2
+ @comment get_mat2
+ @table @t
+ @item get_mat2(@var{A},@var{W},@var{Std},@var{Mset})
+ ::  @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B
+ @item A
+ $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+ @item W
+ $B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector.
+ $BB?J,$J$s$G$b$$$$$O$:(B.
+ @item Std
+ $B%j%9%H(B. Pfaffian $B$N4pDl(B.  cbase(A) $B$N=PNO$rMQ$$$k(B.
+ @item Mset
+ Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
+ @end table
+ @itemize @bullet
+ @item $B=PNO$r(B @var{P} $B$KBeF~$9$k$H(B,
+ @var{P}[0]*@var{P}[2] - @var{P}[1]*@var{Std} $B$,(B modulo  H_A $B$G(B 0 $B$H$J$k(B.
+ @var{P}[0] $B$H(B @var{P}[2] $B$r7k9g$7$?9TNs$,(B, sylvester $B9TNs(B ($BO@J8$N5-9f$G$N(B F').
+ @var{P}[2], @var{Std} $B$,(B index $B%b%N%_%"%k$G$"$k(B.
+ $BO@J8$G$N5-9f$G$O(B @var{P}[2] $B$O(B M_t,  @var{Std} $B$O(B S.
+ @item
+ $B%"%k%4%j%:%`$O(B
+ K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
+ $B$K$h$k(B.  $BO@J8$N9TNs(B F'.
+ @end itemize
+ @example
+ [2190] import("ot_hgm_ahg.rr");
+ [2191] A=[[1,1,1,1],[0,1,2,3]]$
+ Std=ot_hgm_ahg.cbase(A)$
+ W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$
+ Mset=[1,dx1,dx2,dx3,dx4]$
+ [2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset);
+ $B>JN,(B
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{cbase}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B 2012  $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
+ @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog  ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
+ @item
+ $B%=!<%9(B ot_hgm_ahg.rr $B$N(B test3(), test3b(), test4(), test5(), test6(), test6c() $BEy$KMxMQNc$,$"$k(B.
+ @item
+ test3b() $B$G(B @var{Mset} $B$r0l<!<0A4It$K$7$?$b$N$,(B, $BO@J8$NNc(B.
+ @end itemize
+ @comment -------------------
+ @comment  hgm_ahg_contiguity
+ @comment -------------------
+ @node ot_hgm_ahg.hgm_ahg_contiguity,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{ot_hgm_ahg.hgm_ahg_contiguity}
+ @findex ot_hgm_ahg.hgm_ahg_contiguity
+ @table @t
+ @item hgm_ahg_contiguity(@var{A},@var{StdMon},@var{Line},@var{X0},@var{InitVal},@var{Start},@var{End})
+ ::  @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(Bcontiguity relation
+ $B$r(B Sylvester matrix $B$rMQ$$$F7W;;$7(B, $B$=$l$rMQ$$$FD64v2?4X?t$NCM$r5a$a$k(B.
+ @end table
+ @table @var
+ @item return
+ $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$NCM(B F(End;X0) ??
+ @item A
+ $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B.
+ @item StdMon
+ $B%j%9%H(B.  Pfaffian $B$N4pDl$rM?$($kHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
+ @item Line
+ $B%j%9%H(B  [ContiDir,Beta,Z].
+ @item X0
+ $B%j%9%H(B. x $BJQ?t$NCM(B.
+ @item InitVal
+ $B%j%9%H(B. $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$N=i4|CM(B F(Start;X0)
+ @item Start
+ $B%j%9%H(B.   Z $B%Q%i%a!<%?$N=i4|CM(B??
+ @item End
+ $B%j%9%H(B.   Z $B%Q%i%a!<%?$N=*C<CM(B??
+ @end table
+ @itemize @bullet
+ @item Todo, $B$3$N4X?t$N%$%s%?%U%'!<%9$OJQ99$5$l$kM=Dj(B.
+ @item  X0 $B$OM-M}?t$N%j%9%H(B.
+ @item ContiDir $B$O(B End-Start $B$HF1$8J}8~(B.
+ @item Beta.  A$BD64v2?4X?t$N(B B $B%Q%i%a!<%?$N=i4|CM(B ??
+ @item Z.  ContiDir $B$G$N0l<!85(B contiguity $B$rI=8=$9$k$?$a$NITDj85$NL>A0(B.
+ @item $B%=!<%9Cf$NMxMQNc(B. test_fd_conti(), test_c111_conti()
+ @item
+ $B%"%k%4%j%:%`$*$h$SMxE@$O(B
+ K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
+ $B;2>H(B.
+ @end itemize
+ @example
+ [2190] import("ot_hgm_ahg.rr");
+ [2191] ot_hgm_ahg.test_fd_conti();
+ (Todo, $B0z?t$,$I$&$J$k$+$NNc$r2C$($k(B.)
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{get_mat2}
+ @ref{hgm_ahg_expected_value_contiguity}
+ @ref{hgm_ahg}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B 2014-07-11 $B$K:G=i$NHG$,(B 1.10$BHG(B ot_hgm_ahg.rr $B$K(B commit $B$5$l$?(B.
+ @item $B%$%s%?%U%'!<%9$,99?7$5$l$?HG$O(B, 1.??$BHG(B.
+ @end itemize
+ @comment -------------------
+ @comment  tk_hgpoly.optip
+ @comment -------------------
+ @node tk_hgpoly.optip,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_hgpoly.optip}
+ @findex tk_hgpoly.optip
+ @table @t
+ @item hgpoly.optip(@var{A},@var{B},@var{W})
+ ::  $B@0?t7W2hLdBj$r%0%l%V%J!<4pDl$rMQ$$$F2r$/(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B.
+ @item A
+ $BHsIi@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+ @item B
+ $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
+ @item W
+ $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
+ @end table
+ @itemize @bullet
+ @item  @var{A} U = @var{B} $B$rK~$?$9HsIi$N@0?t%Y%/%H%k(B U $B$NCf$G(B,
+ $BFb@Q(B @var{W} U $B$r:G>.2=$9$k(B U $B$rLa$9(B.
+ @end itemize
+ @example
+ [0] import("tk_hgpoly.rr");
+ [2191] tk_hgpoly.optip([[1,1,1,1],[0,1,2,3]],[20,40],[1,1,1,0]);
+ [6,1,0,13]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{feasible}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B   2014-12-12 $B$K(B commit $B$5$l$?(B.
+ $B85HG$O(B h-mle/A-hg/Prog
+ @end itemize
+ @comment -------------------
+ @comment  tk_hgpoly.hgpoly
+ @comment -------------------
+ @node tk_hgpoly.hgpoly,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_hgpoly.hgpoly}
+ @findex tk_hgpoly.hgpoly
+ @table @t
+ @item hgpoly.hgpoly(@var{A},@var{B})
+ ::  @var{A}, @var{B} $B$GDj5A$5$l$kD64v2?B?9`<0$r7W;;$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B.
+ @item A
+ $BHsIi@0?t(B(todo, $B:FEY3NG'(B)$B$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+ @item B
+ $BHsIi@0?t$r@.J,$H$9$k%j%9%H(B.
+ @end table
+ @itemize @bullet
+ @item  $BLa$jCM$r(B F $B$H$9$k$H$-(B, F[0] $B$,D64v2?B?9`<0(B. $BJQ?t$O(B x_1, x_2, ...
+ F[1] $B$O(B F[0] $B$NJ,;6I=8=B?9`<0(B.
+ @end itemize
+ @example
+ [0] import("tk_hgpoly.rr");
+ [2191] tk_hgpoly.hgpoly([[1,1,1,1],[0,1,2,3]],[2,2]);
+ [x_3*x_1+1/2*x_2^2,(1/2)*<<0,2,0,0>>+(1)*<<1,0,1,0>>]
+ @end example
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B   2014-12-12 $B$K(B commit $B$5$l$?(B.
+ @end itemize
+ @comment -------------------
+ @comment  tk_fd.abc2ahg
+ @comment -------------------
+ @node tk_fd.abc2ahg,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_fd.abc2ahg}
+ @findex tk_fd.abc2ahg
+ @table @t
+ @item tk_fd.abc2ahg(@var{A},@var{B},@var{C})
+ ::  F_D(@var{A}, @var{B},@var{C}) $B$r2r$K$b$D(B A-$BD64v2?J}Dx<07O$r5a$a$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B.
+ @item A
+ $B?t(B
+ @item B
+ $B?t$N%j%9%H(B
+ @item C
+ $B?t(B
+ @end table
+ @itemize @bullet
+ @item $BLa$jCM%j%9%H$NBh#0@.J,$O(B A-$BD64v2?J}Dx<07O$rDj5A$9$k9TNs(B.
+ $BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B.
+ @end itemize
+ @example
+ [2191] tk_fd.abc2ahg(-3,[-4,-5],3);
+ [[[0,0,0,1,1,1],[1,0,0,1,0,0],[0,1,0,0,1,0],[0,0,1,0,0,1]],[11,5,4,5]]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{abc2marginal}
+ @ref{marginal2abc}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B   2014-12-13 $B$K(B tk_fd.rr $B$KDI2C$5$l$?(B.
+ @end itemize
+ @comment -------------------
+ @comment  tk_fd.ahvec_abc
+ @comment -------------------
+ @node tk_fd.ahvec_abc,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_fd.ahvec_abc}
+ @findex tk_fd.ahvec_abc
+ @table @t
+ @item tk_fd.ahvec_abc(@var{A},@var{B},@var{C},@var{Y} | all=1)
+ ::   abc2marginal(@var{A}, @var{B},@var{C})  $B$r<~JUOB$K$b$D(B (2,m+1) $BJ,3dI=A4BN$K$D$$$F$N@55,2=Dj?t(B Z, $B$*$h$S(B Z $B$NJQ?t(B Y[1][0], ..., Y[1][m]
+ (2$BHVL\$N9T(B)$B$K$D$$$F$NJPHyJ,$r7W;;$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $B%j%9%H(B @var{Ans}
+ @item A
+ $B?t(B
+ @item B
+ $B?t$N%j%9%H(B. $BD9$5$O(B m.
+ @item C
+ $B?t(B
+ @item Y
+ (2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B.
+ @end table
+ @itemize @bullet
+ @item
+ @var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B.
+ @var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B.
+ @item
+ @var{Ans}[2]*@var{Ans}[1] $B$,(B Z.
+ @var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$F$NJPHyJ,(B.
+ @item
+ $BO@J8(B
+.Y.Goto, Contiguity relations of Lauricella's F_D revisited,  arxiv:1412.3256
+ $B$GF3=P$5$l$F$$$k(B
+ contiguity relation $B$rMQ$$$F7W;;$9$k(B.
+ @end itemize
+ @example
+ [2449] marginal2abc([3,12],[6,3,3,3]);
+ [-3,[-3,-3,-3],4]
+ [2450] tk_fd.ahvec_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
+ [[ 24041/1152 143551/11520 16973/1280 78827/5760 ],1/7776]
+ [2451] expectation_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
+ [721230/173593,430653/173593,458271/173593,67566/24799]
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{expectation_abc}
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B   2014-$B2F$K3+H/$5$l$?(B.
+ @end itemize
+ @node pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
+ @findex pari
+ @findex setbprec
+ @findex setround
+ @findex todouble
+ @findex mpfr_gamma
+ @findex mpfr_floor
+ @findex mpfr_round
+ @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 pari(@var{arg1},@var{arg2},...)
+ ::  MPFR $B$G(B pari $B$N4X?t$r(B emulate $B$9$k$+(B ox_pari $B%5!<%P!<$r8F$S=P$9(B.
+ @itemx setbprec(@var{arg1})
+ @itemx setround(@var{arg1})
+    $B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B.
+ @itemx todouble(@var{arg1})
+ :: bigfloat $B7?$r(B double $B$KJQ49$9$k(B.
+ @itemx mpfr_gamma(@var{arg1})
+ :: gamma $B4X?t$N7W;;(B.
+ @itemx mpfr_floor(@var{arg1})
+ ::  floor $B$N7W;;(B.
+ @itemx mpfr_round(@var{arg1})
+ :: $B4]$a$N7W;;(B.
+ @end table
+ @table @var
+ @item return
+ $B8e=R(B.
+ @item arg1, arg2
+ $B8e=R(B.
+ @end table
+ @itemize @bullet
+ @item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B.
+ Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B.
+ $B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B.
+ @item
+ pari(floor,@var{arg1}),
+ pari(round,@var{arg1}),
+ pari(gamma,@var{arg1})
+ $B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B.
+ $BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B.
+ pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B,
+ $B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B.
+ Todo, ox_pari  $B$r;XDj$7$F8F$S=P$9J}K!(B.
+ @end itemize
+ @example
+ [219] ctrl("bigfloat",1)$
+ [220] setprec(100)$
+ [221] pari(floor,1111111111111.1+1/10);
+ 1111111111111
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @ref{pari}
+ @end table
+ @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+ @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B.
+ $B$^$@:n6HCf(B.  Todo, asirgui $B$X$NBP1~(B. debug, ...
+ @item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c,
+ asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B.
+ @end itemize
+ @comment ****************************************************************
+ @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
  @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
  @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
  @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
- @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
+ @node xyz_pqr syz_stu,,, $B<B83E*;EMM$N4X?t(B
+ @comment @menu $B$K$b(B * syz_pqr syz_stu::  $B$HB3$1$F=q$/;v(B. $BJ,$1$F$O$$$1$J$$(B.
  @subsection @code{xyz_pqr}, @code{syz_stu}
  @findex xyz_pqr
  @findex xyz_stu
-Line 1639  ChangeLog
+Line 4397  ChangeLog
 Line 1639  ChangeLog
 Line 4397  ChangeLog
   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
  @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
  @end itemize
- @comment ****************************************************************
  @comment --- $B$*$^$8$J$$(B ---
  @node Index,,, Top

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