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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.23 and 1.32

version 1.23, 2006/03/12 07:05:41 version 1.32, 2009/02/23 06:10:42
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.22 2005/07/26 05:31:52 takayama Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.31 2009/02/23 05:51:23 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 2006 $BG/(B 3 $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 140  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
 * qt_is_var::  * qt_is_var::
 * qt_is_ceof::  * qt_is_ceof::
 * qt_rewrite::  * 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 1220  ChangeLog
Line 1231  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 1261  ChangeLog
Line 1293  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 2183  qt $B7O$N4X?t$,3+H/$5$l$?(B.
Line 2221  qt $B7O$N4X?t$,3+H/$5$l$?(B.
 @end itemize  @end itemize
 @comment ****************************************************************  @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
   // Visual C++ $BMQ$N%F%9%H%W%m%0%i%`(B. $BI8=`F~NO$r(B asirgui $B$XAw$j9~$`(B.
   // test.cpp : $B%3%s%=!<%k(B $B%"%W%j%1!<%7%g%sMQ$N%(%s%H%j(B $B%]%$%s%H$NDj5A(B
   //
   
   #include "stdafx.h"
   #include "test.h"
   #include <windows.h>
   #include <stdlib.h>
   #include <stdio.h>
   #include <fcntl.h>
   #include <process.h>
   
   #ifdef _DEBUG
   #define new DEBUG_NEW
   #undef THIS_FILE
   static char THIS_FILE[] = __FILE__;
   #endif
   
   /////////////////////////////////////////////////////////////////////////////
   // $BM#0l$N%"%W%j%1!<%7%g%s(B $B%*%V%8%'%/%H(B
   
   CWinApp theApp;
   
   using namespace std;
   
   int _tmain(int argc, TCHAR* argv[], TCHAR* envp[])
   {
           int nRetCode = 0;
   
           // MFC $B$N=i4|2=$*$h$S=i4|2=<:GT;~$N%(%i!<$N=PNO(B
           if (!AfxWinInit(::GetModuleHandle(NULL), NULL, ::GetCommandLine(), 0))
           {
                   // TODO: $BI,MW$K1~$8$F%(%i!<(B $B%3!<%I$rJQ99$7$F$/$@$5$$!#(B
                   cerr << _T("Fatal Error: MFC initialization failed") << endl;
                   nRetCode = 1;
           }
           else
           {
                   // TODO: $B$3$N0LCV$K%"%W%j%1!<%7%g%s$NF0:n$r5-=R$7$F$/$@$5$$!#(B
                   CString strHello;
                   strHello.LoadString(IDS_HELLO);
                   cout << (LPCTSTR)strHello << endl;
           }
           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 nRetCode;
   }
   @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 -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.
 @comment ****************************************************************  @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
Line 2246  ChangeLog
Line 2890  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.1.32

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