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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.21 and 1.33

version 1.21, 2005/07/25 12:23:05 version 1.33, 2009/05/16 03:13:07
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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 1.32 2009/02/23 06:10:42 noro Exp $
 \input texinfo  \input texinfo
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
Line 38 
Line 38 
 @title $B<B83E*;EMM$N4X?t(B  @title $B<B83E*;EMM$N4X?t(B
 @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B  @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
 @subtitle 1.0 $BHG(B  @subtitle 1.0 $BHG(B
 @subtitle 2005 $BG/(B 5 $B7n(B  @subtitle 2008 $BG/(B 1 $B7n(B
   
 @author  by Risa/Asir committers  @author  by Risa/Asir committers
 @page  @page
Line 121  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
Line 121  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 * set_print_function::  * set_print_function::
 * small_jacobi::  * small_jacobi::
 * flatten_quote::  * flatten_quote::
   * printf::
   * fprintf::
 * sprintf::  * sprintf::
 * quote_to_funargs::  * quote_to_funargs::
 * funargs_to_quote::  * funargs_to_quote::
Line 128  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
Line 130  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 * remove_paren::  * remove_paren::
 * set_secure_mode::  * set_secure_mode::
 * set_secure_flag::  * set_secure_flag::
 * double_quote::  * initialize_static_variable::
   * eval_quote::
   * nqt_match::
   * nqt_match_rewrite::
   * qt_normalize::
   * qt_set_coef::
   * qt_set_ord::
   * qt_set_weight::
   * nqt_comp::
   * qt_is_var::
   * qt_is_ceof::
   * qt_rewrite::
   * asirgui.hnd::
   * noro_matrix.rr:
   * f_res::
   * chdir::
   * pwd::
   * dcurrenttime::
   * node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
   * node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
   
   
 @end menu  @end menu
   
 @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
Line 216  $\partial_0, \partial_1, \cdots$
Line 239  $\partial_0, \partial_1, \cdots$
   dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.    dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
 @item  @item
 conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.  conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
 @item  
   
 @end itemize  @end itemize
   
 @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---  @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
Line 468  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. 
Line 489  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. 
 @comment  ~taka/this03/misc-2003/A2/dp  @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.  @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  @example
   order         : '[' orderElement { ',' orderElement } ']'    order         : '[' orderElement @{ ',' orderElement @} ']'
   orderElement   :  weightVec | builtinOrder    orderElement   :  weightVec | builtinOrder
   weightVec     : '[' weightElement { ',' weightElement } ']'    weightVec     : '[' weightElement @{ ',' weightElement @} ']'
   builtiniOrder : '[' orderName  ',' setOfVariables ']'    builtiniOrder : '[' orderName  ',' setOfVariables ']'
   weightElement :   NUMBER | setOfVariables ',' NUMBER    weightElement :   NUMBER | setOfVariables ',' NUMBER
   setOfVariables:  V | range(V,V)    setOfVariables:  V | range(V,V)
Line 650  ChangeLog
Line 671  ChangeLog
 @end itemize  @end itemize
   
 @example  @example
 [219]  struct point { x, y, color};  [219]  struct point @{ x, y, color@};
 [220]  P = newstruct(point);  [220]  P = newstruct(point);
 {0,0,0}  @{0,0,0@}
 [221]  P->x = 10$ P->y=5$ P->color="red"$  [221]  P->x = 10$ P->y=5$ P->color="red"$
 [222]  get_element_names(P);  [222]  get_element_names(P);
 [x,y,color]  [x,y,color]
Line 1013  ChangeLog
Line 1034  ChangeLog
 @end itemize  @end itemize
   
 @example  @example
 [219] def my_output(F) {  [219] def my_output(F) @{
            print("Out: ",0); print(rtostr(F));             print("Out: ",0); print(rtostr(F));
       }        @}
 [220] set_print_function("my_output");  [220] set_print_function("my_output");
 Out: 0  Out: 0
 [221]  1+2;  [221]  1+2;
Line 1208  ChangeLog
Line 1229  ChangeLog
   
   
 @node sprintf,,, $B<B83E*;EMM$N4X?t(B  @node sprintf,,, $B<B83E*;EMM$N4X?t(B
 @subsection @code{sprintf}  @subsection @code{printf}, @code{fprintf}, @code{sprintf}
 @findex sprintf  @findex sprintf
   
 @table @t  @table @t
   @item printf(@var{format}[,@var{args}])
   @item fprintf(@var{fd},@var{format}[,@var{args}])
 @item sprintf(@var{format}[,@var{args}])  @item sprintf(@var{format}[,@var{args}])
 :: C $B$K;w$?%W%j%s%H4X?t(B  :: C $B$K;w$?%W%j%s%H4X?t(B
 @end table  @end table
   
 @table @var  @table @var
 @item return  @item return
 $BJ8;zNs(B  $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
 @item format  @item format
 $BJ8;zNs(B  $BJ8;zNs(B
   @item fd
   $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
 @item args  @item args
 $B%*%V%8%'%/%H(B  $B%*%V%8%'%/%H(B
 @end table  @end table
   
 @itemize @bullet  @itemize @bullet
 @item  @item
 $B%U%)!<%^%C%HJ8;zNs(B @var{format } $B$K$7$?$,$$(B @var{args} $B$rJ8;zNs$KJQ49$9$k(B.  @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
 @item  @item
 $B%U%)!<%^%C%HJ8;zNs$NCf$K(B @code{%a} (any) $B$,MxMQ2DG=(B.  @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.
 @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{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  @end itemize
   
 @example  @example
 [0] sprintf("%a: rat = %a",10,x^2-1);  [0] printf("%a: rat = %a\n",10,x^2-1)$
   10: rat = x^2-1  10: rat = x^2-1
   [1] S=sprintf("%a: rat = %a",20,x^2-1)$
   [2] S;
   20: rat = x^2-1
   [3] Fd=open_file("hoge.txt","w");
   0
   [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  @end example
   
 @table @t  @table @t
 @item $B;2>H(B  @item $B;2>H(B
 @ref{rtostr}  @ref{rtostr},@ref{open_file},@ref{close_file}
 @end table  @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 --- 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 1249  ChangeLog
Line 1291  ChangeLog
 ChangeLog  ChangeLog
 @itemize @bullet  @itemize @bullet
 @item  @item
  $B$3$N4X?t$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.   $B4X?t(B sprintf$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.   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
 @item  @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.   @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
 @end itemize  @end itemize
   
Line 1474  cgi-asir.sh $B$G$O(B
Line 1522  cgi-asir.sh $B$G$O(B
   1.33      OpenXM_contrib2/asir2000/parse/parse.h    1.33      OpenXM_contrib2/asir2000/parse/parse.h
 @end itemize  @end itemize
   
 @node double_quote,,, $B<B83E*;EMM$N4X?t(B  @node initialize_static_variable,,, $B<B83E*;EMM$N4X?t(B
 @subsection @code{double_quote}  @subsection @code{initialize_static_variable}
 @findex double_quote  @findex initialize_static_variable
   
   
 @comment --- $B@bL@(B ---  @comment --- $B@bL@(B ---
 @table @t  @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  @end table
   
   
 @itemize @bullet  @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.  @item static $BJQ?t$N<h07(B.
 $B2<$NNc$r;2>H$N$3$H(B.  $B2<$NNc$r;2>H$N$3$H(B.
 @end itemize  @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  
 0  
   
 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  
 0  
 S="" $B$,$J$/$F$b(B if (1) $B$@$H%(%i!<$N$h$&$@(B.  
   
 [1213] ox_launch(0,"ox_asir");  
 0  
 [1214] ox_execute_string(0,S);  
 0   $B$7$+$7$3$A$i$O@5$7$/F0:n(B.  
   
 @end example  
   
 @example  @example
 if (1) @{  if (1) @{
  module abc;   module abc;
Line 1573  end$
Line 1580  end$
 ChangeLog  ChangeLog
 @itemize @bullet  @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$GLdBjE@$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.  @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
 @end itemize  @end itemize
   
   @node eval_quote,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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 ****************************************************************  @comment ****************************************************************
   
   @node qt_is_var,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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 ****************************************************************
   
   
   @comment ****************************************************************
   @node asirgui.hnd,,, $B<B83E*;EMM$N4X?t(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
   
   
   @itemize @bullet
   @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
   @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main winodw $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
   @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.
   @end itemize
   
   @example
   // cl test.c user32.lib
   
   #include <windows.h>
   #include <stdlib.h>
   #include <stdio.h>
   #include <process.h>
   
   int main()
   @{
   
           HWND hnd;
           FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
           fscanf(fp,"%d",&hnd);
           fclose(fp);
           while (1) @{
                   int c;
                   c = getchar();
                   if ( c == '#' ) break;
                   PostMessage(hnd,WM_CHAR,c,1);
           @}
           return 0;
   @}
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{xyz_abc}
   @end table
   
   @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
   @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
   @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp}  1.15, 1.1.6
   @end itemize
   @comment ****************************************************************
   
   @node noro_matrix.rr,,, $B<B83E*;EMM$N4X?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,,, $B<B83E*;EMM$N4X?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 chdir,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{chdir}, @code{pwd}
   @findex chdir
   @findex pwd
   
   @comment --- $B%G%#%l%/%H%jA`:n(B ---
   @table @t
   @item chdir(@var{directory})
   @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
   $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
   @item dirctory
   $BJ8;zNs(B
   @end table
   
   @itemize @bullet
   @item
   @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.
   @item
   $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B.
   @end itemize
   
   @example
   [0] S=pwd();
   /home/ohara
   [1] chdir(".../taka");
   -1
   [2] chdir("/usr/bin");
   0
   @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$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
   @end itemize
   
   
   @node dcurrenttime,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{dcurrenttime}
   @findex dcurrenttime
   
   @comment --- $B8=:_;~9o$r<hF@(B ---
   @table @t
   @item  dcurrenttime()
   :: $B8=:_;~9o$r<hF@(B.
   @end table
   
   @table @var
   @item return
   $BIbF0>.?tE@?t(B
   @end table
   
   @itemize @bullet
   @item
   $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
   @end itemize
   
   @example
   [0] ctrl("real_digit", 16);
   16
   [1] dcurrenttime();
   1226390851.34476
   [2] currenttime();
   1226390854
   @end example
   
   @table @t
   @item $B;2>H(B
   @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 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
   @end itemize
   
   @node nk_restriction.restriction,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{nk_restriction.restriction}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @findex nk_restriction.restriction
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
   :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B
   @end table
   
   @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!"(B0 $BHVL\$NMWAG$+$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!"%$%G%"%k(B
   @tex
   $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
   @end tex
   $B$N(B
   @tex $x$ @end tex
   $B$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]]]
   [1433]
   @end example
   
   @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
   @subsection @code{nk_restriction.restriction_ideal}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @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!"(B0 $BHVL\$NMWAG$+$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!"%$%G%"%k(B
   @tex
   $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
   @end tex
   $B$N(B
   @tex $x$ @end tex
   $B$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]
   [1347]
   @end example
   
   @node nk_restriction.integration,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{nk_restriction.integration}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @findex nk_restriction.integration
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
   :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B
   @end table
   
   @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$$@bL@(B ---
   @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
   @comment --- @bullet $B$O9uE@IU$-(B ---
   @itemize @bullet
   @item
   @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(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!"%$%G%"%k(B
   @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
   $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
   @example
   [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
   [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
   
   @node nk_restriction.integration_ideal,,, $B<B83E*;EMM$N4X?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$$@bL@(B ---
   @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
   @comment --- @bullet $B$O9uE@IU$-(B ---
   @itemize @bullet
   @item
   @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(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!"%$%G%"%k(B
   @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
   $B$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]
   [1432]
   @end example
   
   @noindent
   ChangeLog
   @itemize @bullet
   @item  $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
   @end itemize
   
   @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
   @findex nd_gr (module)
   @findex nd_gr_trace (module)
   @findex nd_weyl_gr (module)
   @findex nd_weyl_gr_trace (module)
   
   @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
   @table @t
   @item  nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
   @itemx  nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
   @item  nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
   @itemx  nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
   :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
   @end table
   
   @table @var
   @item gen
   $B%j%9%H$N%j%9%H(B
   @item ord
   @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
   @item return
   $B%j%9%H$N%j%9%H(B
   @end table
   
   @itemize @bullet
   @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
   $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
   $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
   @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
   $B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$r<B9T$9$k(B. $B$3$N>l9g(B, @var{gen} $B$O(B, $BB?9`<0(B
   $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
   @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
   $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
   $B$G9T$&(B.
   @item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B.
   @end itemize
   
   @example
   [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
   [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
   [1]  nd_gr(Gen,[x,y,z],0,[0,0]);
   [[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3,
   -x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2
   +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{nd_gr}, @ref{nd_gr_trace}
   @end table
   
   @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B<B83E*;EMM$N4X?t(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$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
   @item gentsyz
   @var{value} $B$,(B 0 $B$G$J$$$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
   
   @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.
   @comment ****************************************************************
 @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
 @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.  @comment $B?7$7$$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 --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
Line 1639  ChangeLog
Line 2855  ChangeLog
  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.   $BJQ99$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.  @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  @end itemize
 @comment ****************************************************************  
   
 @comment --- $B$*$^$8$J$$(B ---  @comment --- $B$*$^$8$J$$(B ---
 @node Index,,, Top  @node Index,,, Top

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  Added in v.1.33

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