| version 1.21, 2005/07/25 12:23:05 |
version 1.33, 2009/05/16 03:13:07 |
|
|
| %% $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 |
|
|
| @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) |
|
|
| @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] |
|
|
| @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; |
|
|
| |
|
| |
|
| @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 |
|
|
| 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; |
|
|
| 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$N7W;;(B |
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@end table |
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|
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@table @var |
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@item gen |
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$B%j%9%H$N%j%9%H(B |
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@item ord |
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@var{[IsPOT,Ord]} $B$J$k%j%9%H(B |
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@item return |
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$B%j%9%H$N%j%9%H(B |
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@end table |
| |
|
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@itemize @bullet |
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@item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B |
| |
$B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B |
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$B85$G$"$k%Y%/%H%k$H$_$J$9(B. |
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@item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B |
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$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, $BB?9`<0(B |
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$B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B. |
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@item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B |
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$B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord} |
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$B$G9T$&(B. |
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@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. |
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@end itemize |
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|
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@example |
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[0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]]; |
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[[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]] |
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[1] nd_gr(Gen,[x,y,z],0,[0,0]); |
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[[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, |
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-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 |
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+(-y^3+z*y^2-z*y)*x+z^4*y^2]] |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@ref{nd_gr}, @ref{nd_gr_trace} |
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@end table |
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|
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@node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{nd_gr}, @code{nd_gr_trace} (option) |
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@findex nd_gr (option) |
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@findex nd_gr_trace (option) |
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@findex nd_weyl_gr (option) |
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@findex nd_weyl_gr_trace (option) |
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|
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@comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B --- |
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|
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@table @t |
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@item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}]) |
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@itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}]) |
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@itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}]) |
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@itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}]) |
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:: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B |
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@end table |
| |
|
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@table @var |
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@item opt |
| |
@var{key=value} $B$J$k%*%W%7%g%s@_Dj(B |
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@item return |
| |
$B%*%W%7%g%s$K$h$j0[$J$k(B |
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@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. |
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@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 |
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@item Homo |
| |
$BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0. |
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@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,...] |
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[1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$ |
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[2] D[0]; |
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[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 |
|
|
| $BJQ99$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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