| version 1.6, 2004/04/16 01:57:51 |
version 1.47, 2013/02/18 07:18:32 |
|
|
| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.5 2004/03/27 05:58:50 takayama Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.46 2012/09/18 11:41:18 takayama 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 2004 $BG/(B 4 $B7n(B |
@subtitle 2013 $BG/(B 2 $B7n(B |
| |
|
| @author by Risa/Asir comitters |
@author by Risa/Asir committers |
| @page |
@page |
| @vskip 0pt plus 1filll |
@vskip 0pt plus 1filll |
| Copyright @copyright{} Risa/Asir committers |
Copyright @copyright{} Risa/Asir committers |
| 2004. All rights reserved. |
2004--2010. All rights reserved. |
| @end titlepage |
@end titlepage |
| |
|
| @comment --- $B$*$^$8$J$$(B --- |
@comment --- $B$*$^$8$J$$(B --- |
| Line 52 Copyright @copyright{} Risa/Asir committers |
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| Line 52 Copyright @copyright{} Risa/Asir committers |
|
| @comment --- $B$*$^$8$J$$=*$j(B --- |
@comment --- $B$*$^$8$J$$=*$j(B --- |
| |
|
| @comment --- @node $B$O(B GNU info, HTML $BMQ(B --- |
@comment --- @node $B$O(B GNU info, HTML $BMQ(B --- |
| @comment --- @node $B$N0z?t$O(B node-name, next, previous, up --- |
@comment --- @node $B$N0z?t$O(B node-name, next, previous, up --- |
| @node Top,, (dir), (dir) |
@node Top,, (dir), (dir) |
| |
|
| @comment --- @menu $B$O(B GNU info, HTML $BMQ(B --- |
@comment --- @menu $B$O(B GNU info, HTML $BMQ(B --- |
| Line 60 Copyright @copyright{} Risa/Asir committers |
|
| Line 60 Copyright @copyright{} Risa/Asir committers |
|
| @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B. |
@comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B. |
| @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B. |
@comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B. |
| @menu |
@menu |
| * Experimental Functions:: |
* $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B:: |
| |
* $B<B83E*;EMM$N4X?t(B:: |
| * Index:: |
* Index:: |
| @end menu |
@end menu |
| |
|
| @comment --- chapter $B$N3+;O(B --- |
@comment --- chapter $B$N3+;O(B --- |
| @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top --- |
@comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top --- |
| @node $B<B83E*;EMM$N4X?t(B,,, Top |
@node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, Top |
| @chapter $B<B83E*;EMM$N4X?t(B |
@chapter $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B |
| |
|
| @comment --- section $BL>$r@53N$KJB$Y$k(B. --- |
|
| @menu |
|
| * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B:: |
|
| * $B<B83E*;EMM$N4X?t(B:: |
|
| @end menu |
|
| |
|
| @comment --- section ``XYZ$B$K$D$$$F(B'' $B$N3+;O(B --- section XYZ$B$K$D$$$F$N?F$O(B chapter XYZ |
|
| @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, XYZ |
|
| @section $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B |
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| |
|
| @comment --- $B=qBN;XDj$K$D$$$F(B --- |
|
| @comment --- @code{} $B$O%?%$%W%i%$%?BNI=<((B --- |
|
| @comment --- @var{} $B$O<P;zBNI=<((B --- |
|
| @comment --- @b{} $B$O%\!<%k%II=<((B --- |
|
| @comment --- @samp{} $B$O%U%!%$%kL>$J$I$NI=<((B --- |
|
| |
|
| $B$3$N@bL@=q$G$O(B |
$B$3$N@bL@=q$G$O(B |
| @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B. |
@b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B. |
| $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B |
$B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B |
| Line 92 Copyright @copyright{} Risa/Asir committers |
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| Line 77 Copyright @copyright{} Risa/Asir committers |
|
| ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B |
ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B |
| $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B. |
$B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B. |
| |
|
| @comment --- section ``$B<B83E*4X?t(B'' $B$N3+;O(B --- |
@node $B<B83E*;EMM$N4X?t(B,,, Top |
| @node $B<B83E*;EMM$N4X?t(B,,, $B<B83E*;EMM$N4X?t(B |
@chapter $B<B83E*;EMM$N4X?t(B |
| @section $B<B83E*;EMM$N4X?t(B |
|
| |
|
| @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc |
@comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc |
| @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B. |
@comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B. |
| @menu |
@menu |
| * quotetotex:: |
* quotetotex:: |
| Line 116 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| Line 100 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| * dp_initial_term:: |
* dp_initial_term:: |
| * dp_order:: |
* dp_order:: |
| * dp_weyl_gr_main:: |
* dp_weyl_gr_main:: |
| |
* list:: |
| |
* mapat:: |
| |
* set_print_function:: |
| |
* small_jacobi:: |
| |
* flatten_quote:: |
| |
* printf:: |
| |
* fprintf:: |
| |
* sprintf:: |
| |
* quote_to_funargs:: |
| |
* funargs_to_quote:: |
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* get_function_name:: |
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* remove_paren:: |
| |
* set_secure_mode:: |
| |
* set_secure_flag:: |
| |
* initialize_static_variable:: |
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* eval_quote:: |
| |
* nqt_match:: |
| |
* nqt_match_rewrite:: |
| |
* qt_normalize:: |
| |
* qt_set_coef:: |
| |
* qt_set_ord:: |
| |
* qt_set_weight:: |
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* nqt_comp:: |
| |
* qt_is_var:: |
| |
* qt_is_ceof:: |
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* qt_rewrite:: |
| |
* asirgui.hnd:: |
| |
* noro_matrix.rr: |
| |
* f_res:: |
| |
* chdir:: |
| |
* pwd:: |
| |
* dcurrenttime:: |
| |
* nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module):: |
| |
* nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option):: |
| |
* tk_pfn.rkn:: |
| |
* tk_pfn.graph:: |
| |
* tk_rk.runge_kutta_4:: |
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* tk_rk.runge_kutta_4_linear:: |
| |
* tk_rk.zonal:: |
| |
* getpid:: |
| @end menu |
@end menu |
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B |
@node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section $B%/%*!<%H(B |
| |
|
| |
@comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B |
| @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B --- |
@comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B --- |
| @comment --- section $BL>$r@53N$K(B --- |
@comment --- section $BL>$r@53N$K(B --- |
| @node quotetotex quotetotex_env,,, $B<B83E*;EMM$N4X?t(B |
@node quotetotex quotetotex_env,,, $B%/%*!<%H(B |
| @subsection @code{quotetotex}, @code{quotetotex_env} |
@subsection @code{quotetotex}, @code{quotetotex_env} |
| @comment --- $B:w0zMQ%-!<%o!<%I(B |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| @findex quotetotex |
@findex quotetotex |
| Line 129 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| Line 156 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| |
|
| @comment --- $B4X?t$N4JC1$J@bL@(B --- |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| @table @t |
@table @t |
| @item quotetotex(@var{q}) |
@item quotetotex(@var{q}) |
| :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B. |
:: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B. |
| @item quotetotex_env(@var{key},@var{value}) |
@item quotetotex_env(@var{key},@var{value}) |
| :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B. |
:: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B. |
|
|
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B. |
quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B. |
| @item |
@item |
| $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B. |
$B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B. |
| @item |
@item |
| conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B. |
conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B. |
| 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B, |
0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B, |
| 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B, |
1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B, |
| Line 172 symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3 |
|
| Line 199 symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3 |
|
| symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B. |
symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B. |
| alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B |
alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B |
| $BFbB"$:$_(B. |
$BFbB"$:$_(B. |
| @item |
@item |
| dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B |
dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B |
| @tex |
@iftex |
| |
@tex |
| $x_0, x_1, \cdots$ |
$x_0, x_1, \cdots$ |
| @end tex |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
x0, x1, ... |
| |
@end ifinfo |
| $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B |
$B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B |
| x $B$NItJ,$rJQ99$9$k(B. |
x $B$NItJ,$rJQ99$9$k(B. |
| @item |
@item |
| dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B. |
dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B. |
| $B%G%U%)!<%k%H$O(B 0. |
$B%G%U%)!<%k%H$O(B 0. |
| @item |
@item |
| dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B |
dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B |
| latex $B7A<0$KJQ49$9$k(B. |
latex $B7A<0$KJQ49$9$k(B. |
| $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B |
$B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B |
| @tex |
@iftex |
| |
@tex |
| $x_0, x_1, \cdots$ |
$x_0, x_1, \cdots$ |
| @end tex |
@end tex |
| $B$K(B |
$B$K8eH>$NH>J,$r(B |
| $B8eH>$NH>J,$r(B |
@tex |
| @tex |
|
| $\partial_0, \partial_1, \cdots$ |
$\partial_0, \partial_1, \cdots$ |
| @end tex |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ... |
| |
@end ifinfo |
| $B$KJQ49$9$k(B. |
$B$KJQ49$9$k(B. |
| $B4q?t8D$N>l9g$O:G8e$NJQ?t$,F1;~2=JQ?t$H$7$F(B h $B$GI=<($5$l$k(B. |
$B4q?t8D$N>l9g$O:G8e$NJQ?t$,F1;~2=JQ?t$H$7$F(B h $B$GI=<($5$l$k(B. |
| @item |
@item |
| Line 201 $\partial_0, \partial_1, \cdots$ |
|
| Line 237 $\partial_0, \partial_1, \cdots$ |
|
| $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex |
$B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex |
| @item |
@item |
| 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 229 print_tex_form(contrib) |
|
| Line 263 print_tex_form(contrib) |
|
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B |
$B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B |
| knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B. |
knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B. |
| Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B |
Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B |
| $B=PNO7A<0$r2~A1$7$?(B. |
$B=PNO7A<0$r2~A1$7$?(B. |
| OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B. |
OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B. |
| @item |
@item |
| OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8, |
OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8, |
| noro_print_default.rr 1.1--1.3 $B$b;2>H(B. |
noro_print_default.rr 1.1--1.3 $B$b;2>H(B. |
| @item |
@item |
| $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B. |
$BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B. |
| builtin/strobj.c 1.14--1.43, |
builtin/strobj.c 1.14--1.43, |
| include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29, |
include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29, |
| parse/arith.c 1.12, parse/parse.h 1.28--1.29, |
parse/arith.c 1.12, parse/parse.h 1.28--1.29, |
| parse/quote.c 1.7--1.8, 1.12. |
parse/quote.c 1.7--1.8, 1.12. |
| @item |
@item |
| knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B. |
knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B. |
| @item |
@item |
| dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B. |
dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B. |
| @item |
@item |
| Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B). |
Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B). |
|
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| |
|
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B |
@comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B |
| @node objtoquote,,, $B<B83E*;EMM$N4X?t(B |
@node objtoquote,,, $B%/%*!<%H(B |
| @subsection @code{objtoquote} |
@subsection @code{objtoquote} |
| @findex objtoquote |
@findex objtoquote |
| |
|
|
|
| @end itemize |
@end itemize |
| |
|
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B |
@node flatten_quote,,, $B%/%*!<%H(B |
| @node copyright,,, $B<B83E*;EMM$N4X?t(B |
@subsection @code{flatten_quote} |
| |
@findex flatten_quote |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item flatten_quote(@var{q},@var{op}) |
| |
:: quote $B$N3g8L$r$H$j$5$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
Quote |
| |
@item q |
| |
Quote |
| |
@item op |
| |
$B1i;;;R$rI=$9J8;zNs(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B |
| |
( quotetolist $B;2>H(B ). |
| |
@code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op} |
| |
$B$N;R6!%N!<%I$rJ?Ey$K$9$k(B. |
| |
$B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B. |
| |
$B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B. |
| |
@item |
| |
$B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B, |
| |
1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B. |
| |
$B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B. |
| |
@item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B, |
| |
+ $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B. |
| |
@item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+"); |
| |
quote(1+2+3+4*(x+3)) |
| |
[1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*"); |
| |
quote(x*y*p*3-x*y*z) |
| |
[1290] quotetolist(quote(1+2+3)); |
| |
[b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{quotetolist}, @ref{print_tex_form}(contrib) |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B |
| |
quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B. |
| |
OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B |
| |
$B1~MQ(B. |
| |
@item |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B |
| |
builtin/strobj.c 1.47, |
| |
parse/eval.c 1.35, |
| |
parse/parse.h 1.31, |
| |
parse/quote.c 1.14--1.16. |
| |
@end itemize |
| |
|
| |
|
| |
@node quote_to_funargs,,, $B%/%*!<%H(B |
| |
@subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren} |
| |
@findex quote_to_funargs |
| |
@findex funargs_to_quote |
| |
@findex remove_paren |
| |
|
| |
@table @t |
| |
@item quote_to_funargs(@var{q}) |
| |
:: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B. |
| |
@item funargs_to_quote(@var{f}) |
| |
:: funarg $B7A<0$r(B quote $B$X(B. |
| |
@item get_function_name(@var{f}) |
| |
:: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B. |
| |
@item remove_paren(@var{q}) |
| |
:: $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo) |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs) |
| |
@item q |
| |
quote |
| |
@item f |
| |
$B%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B |
| |
quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B. |
| |
@code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B |
| |
$B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B. |
| |
@item |
| |
@code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...] |
| |
$B$J$k7A<0$r$7$F$$$k(B. |
| |
$B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B, |
| |
$B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B |
| |
$B$G<h$j$@$;$k(B. |
| |
$B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])} |
| |
$B$O(B "+" $B$rLa$9(B. |
| |
@item |
| |
$BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B. |
| |
@item |
| |
$B2<$NNc$G(B |
| |
quote_to_funargs(FA[2]); |
| |
[34,[b_op,+,[internal,x],[internal,1]]] |
| |
$B$H$J$k(B. |
| |
34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B. |
| |
$B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr} |
| |
$B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B. |
| |
$B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B. |
| |
I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE, |
| |
I_PRESELF, I_POSTSELF, |
| |
I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV, |
| |
I_ANS, I_PVAR, I_ASSPVAR, |
| |
I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST, |
| |
I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN, |
| |
I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS, |
| |
I_NARYOP |
| |
@end itemize |
| |
|
| |
$B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B. |
| |
@example |
| |
[0] ctrl("print_quote",1) $ |
| |
|
| |
[1] Q=quote((x+1)+(x+2)); |
| |
[b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]], |
| |
[u_op,(),[b_op,+,[internal,x],[internal,2]]]] |
| |
|
| |
[2] FA=quote_to_funargs(Q); |
| |
[0,<...quoted...>, |
| |
[u_op,(),[b_op,+,[internal,x],[internal,1]]], |
| |
[u_op,(),[b_op,+,[internal,x],[internal,2]]]] |
| |
|
| |
[3] FA2=quote_to_funargs(FA[2])[1]; |
| |
[b_op,+,[internal,x],[internal,1]] |
| |
|
| |
[4] FA3=quote_to_funargs(FA[3])[1]; |
| |
[b_op,+,[internal,x],[internal,2]] |
| |
|
| |
[5] funargs_to_quote([FA[0],FA[1],FA2,FA3]); |
| |
[b_op,+,[b_op,+,[internal,x],[internal,1]], |
| |
[b_op,+,[internal,x],[internal,2]]] |
| |
@end example |
| |
|
| |
$B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B. |
| |
@example |
| |
[1287] load("noro_simplify.rr"); |
| |
1 |
| |
[1293] noro_simplify.remove_paren(quote( f(1-(x)))); |
| |
quote(f(1-x)) |
| |
@end example |
| |
|
| |
funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B |
| |
$B?7$7$$(B quote $B$r$D$/$j=P$;$k(B. |
| |
@example |
| |
[1184] R=quote_to_funargs(quote(a+(b+c))); |
| |
[0,<...quoted...>,<...quoted...>,<...quoted...>] |
| |
[1185] T=quote_to_funargs(quote(1+2)); |
| |
[0,<...quoted...>,<...quoted...>,<...quoted...>] |
| |
[1186] funargs_to_quote([0,R[1],R[2],T[2]]); |
| |
quote(a+1) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{quotetolist} |
| |
@end table |
| |
|
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B |
| |
$B$N<B83E*4X?t$G$"$k(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B. |
| |
@item |
| |
$B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B. |
| |
@item |
| |
2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B |
| |
$B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B). |
| |
@item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] } |
| |
$B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node eval_quote,,, $B%/%*!<%H(B |
| |
@subsection @code{eval_quote} |
| |
@findex eval_quote |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item eval_quote(@var{Q}); |
| |
:: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%*%V%8%'%/%H(B |
| |
@item Q |
| |
quote$B7?(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B. |
| |
@item $B5U4X?t$O(B @code{objtoquote} |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
A=quote((x-1)^2+(x-1)+3); |
| |
$B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3) |
| |
eval_quote(A); |
| |
$B=PNO(B: x^2-x+3 |
| |
print_input_form(A); /* asir-contrib */ |
| |
$B=PNO(B: quote((x-1)^2+(x-1)+3) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{objtoquote}, @ref{quotetolist}, @ref{eval_string}, |
| |
@ref{quote_to_funargs}, @ref{funargs_to_quote} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node nqt_match,,, $B%/%*!<%H(B |
| |
@subsection @code{nqt_match} |
| |
@findex nqt_match |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}]) |
| |
:: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@item Pattern |
| |
quote$B7?(B |
| |
@item Mode |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B. |
| |
@item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B. |
| |
@item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B. |
| |
@item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B |
| |
fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
A=quote((x-y)*(x+y)); |
| |
nqt_match(A,quote(P*Q)); |
| |
[P,Q] |
| |
$B=PNO(B: [x-y, x+y] |
| |
nqt_match(A,quote(P*Q),1); |
| |
$B%^%C%A$7$J$$(B. |
| |
nqt_match(A,quote(P*Q),2); |
| |
$B%^%C%A$7$J$$(B. |
| |
qt_normalize(A,1); |
| |
$B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x)) |
| |
qt_normalize(A,2); |
| |
$B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y)) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nqt_match_rewrite}, |
| |
@ref{qt_rewrite} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item ----- $B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node nqt_match_rewrite,,, $B%/%*!<%H(B |
| |
@subsection @code{nqt_match_rewrite} |
| |
@findex nqt_match_rewrite |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode}) |
| |
:: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
quote$B7?(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@item Rule |
| |
[@var{Pattern},@var{Action}] $B$+$^$?$O(B |
| |
[@var{Pattern},@var{Condition},@var{Action}]. |
| |
$B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B. |
| |
@item Mode |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B |
| |
@var{Exprt} $B<+BN$rLa$9(B. |
| |
@item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B. |
| |
@end itemize |
| |
|
| |
@comment %%Doc: cfep/tests/2006-03-12-qt.rr |
| |
@example |
| |
ctrl("print_quote",2); |
| |
nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1); |
| |
$B=PNO(B: (x)+((y)*(z)) |
| |
A=`x*x; |
| |
nqt_match_rewrite(A,[`X*Y,`X+Y],1); |
| |
$B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B) |
| |
nqt_match_rewrite(A,[`X*Y,`X+Y],2); |
| |
$B=PNO(B: 2*x |
| |
|
| |
$BE,9g$K$D$$$F$N%b!<%I$N0c$$$rM}2r$9$k$?$a$K<!$NNc$*$h$S(B fnode$BI8=`7A(B(qt_normalize) $B$r;2>H(B. |
| |
quotetolist(qt_normalize(`x*x,0)); |
| |
$B=PNO(B: [b_op,^,[internal,x],[internal,2]] |
| |
quotetolist(qt_normalize(`x*x,1)); |
| |
$B=PNO(B: [b_op,^,[internal,x],[internal,2]] |
| |
quotetolist(qt_normalize(`x*x,2)); |
| |
$B=PNO(B: [n_op,*,[internal,x],[internal,x]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nqt_match}, |
| |
@ref{qt_rewrite}, |
| |
@ref{qt_normalize} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
|
| |
@node qt_normalize,,, $B%/%*!<%H(B |
| |
@subsection @code{qt_normalize} |
| |
@findex qt_normalize |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_normalize(@var{Expr}[,@var{Mode}]) |
| |
:: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
quote$B7?(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@item Mode |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
fnode$B$O(B quote$B7?$N<BBN$G$"$k(B. |
| |
fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B. |
| |
$B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B. |
| |
$B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B. |
| |
|
| |
fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B. |
| |
fnode $B$NI8=`7A$r(B fn $B$H=q$/$H$-(B, $BI8=`7A$N(B BNF$BIwI=8=$G$NDj5A$O0J2<$N$H$*$j(B. |
| |
@example |
| |
fn = formula | functor(nf [,...]) | sum_of_monom |
| |
fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B. |
| |
sum_of_monom = monom [+ ...] |
| |
$B%b%N%_%"%k$NOB(B |
| |
monom = [formula *] nfpow [* ...] |
| |
$B%b%N%_%"%k(B |
| |
nfpow = nf | nf^(nf) |
| |
$BQQ>hItJ,$NI8=`7A(B |
| |
formula = Risa object |
| |
@end example |
| |
|
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B. |
| |
@item $BE83+$O:F5"E*$G$"$k(B. |
| |
@item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator |
| |
(b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B |
| |
$B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B. |
| |
@item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$k$3$H$K$h$j(B, $B%Q%?!<%s%^%C%AMQ$N%Q%?!<%s$N?t$r8:$i$;$k$3$H$,7P83E*$K$o$+$C$F$$$k(B. |
| |
@item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B. |
| |
@item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B |
| |
@item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B. |
| |
@end itemize |
| |
|
| |
@var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B. |
| |
@comment %%cfep/tests/2006-03-12-qt.rr |
| |
@example |
| |
ctrl("print_quote",2); |
| |
A=quote((x-y)*(x+y)); |
| |
$B=PNO(B: ((x)-(y))*((x)+(y)) |
| |
B=qt_normalize(A,0); |
| |
$B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B. |
| |
quotetolist(B); |
| |
$B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]] |
| |
|
| |
B=qt_normalize(A,1); |
| |
$B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x)) |
| |
Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B. |
| |
quotetolist(B); |
| |
$B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]] |
| |
|
| |
qt_normalize(A,2); |
| |
$B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y)) |
| |
Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B. |
| |
quotetolist(B); |
| |
$B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]] |
| |
|
| |
qt_normalize(`x^2,2); |
| |
$B=PNO(B: (x)*(x) |
| |
Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B. |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nqt_match}, |
| |
@ref{nqt_match_rewrite}, |
| |
@ref{quotetolist}, |
| |
@ref{quote_to_funargs} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node qt_set_coef,,, $B%/%*!<%H(B |
| |
@subsection @code{qt_set_coef} |
| |
@findex qt_set_coef |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_set_coef(@var{ParamList}) |
| |
:: $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B |
| |
$BHs2D49B?9`<0$r07$&(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item ParamList |
| |
$B%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B |
| |
$BHs2D49B?9`<0$r07$&(B. |
| |
@item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B. |
| |
@item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_set_coef([a]); |
| |
B=qt_normalize(quote((a*x+a)^2),2); |
| |
$B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2) |
| |
qt_normalize(B+B,2); |
| |
$B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node qt_set_ord,,, $B%/%*!<%H(B |
| |
@subsection @code{qt_set_ord} |
| |
@findex qt_set_ord |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_set_ord(@var{VarList}) |
| |
:: @var{VarList} $B$rJQ?t=g=x$H$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item VarList |
| |
$B%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B. |
| |
@item $B$3$N@k8@$r$7$J$$$H$"$kITDj85$K$D$$$F$N4{Dj$N<-=q<0=g=x(B-----$B$^$@=q$$$F$J$$(B---$B$rMQ$$$F9`$rHf3S$9$k(B. |
| |
@var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B. |
| |
@item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_normalize(quote(x+y),2); |
| |
$B=PNO(B: (x)+(y) |
| |
qt_set_ord([y,x]); |
| |
$B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ] |
| |
qt_normalize(quote(x+y),2); |
| |
$B=PNO(B: (y)+(x) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize}, |
| |
@ref{nqt_comp} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node qt_set_weight,,, $B%/%*!<%H(B |
| |
@subsection @code{qt_set_weight} |
| |
@findex qt_set_weight |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_set_weight(@var{WeightVector}) |
| |
:: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item WeightVector |
| |
$B%j%9%H(B |
| |
@end table |
| |
|
| |
fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B. |
| |
@example |
| |
f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B |
| |
$B$D$$$F$O$=$NCM(B. |
| |
|
| |
f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B. |
| |
w(f+g) = max(w(f),w(g)) |
| |
w(f g) = w(f) + w(g) |
| |
w(f^n) = n w(f) |
| |
$B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B. |
| |
@end example |
| |
|
| |
@itemize @bullet |
| |
@item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B. |
| |
@var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B. |
| |
@item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B. |
| |
@item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_set_weight([[x,-1],[y,-1]]); |
| |
$B7k2L(B: [[x,-1],[y,-1]] |
| |
qt_normalize(quote( 1+(x+y)+(x+y)^2),1); |
| |
$B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y)) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize}, |
| |
@ref{qt_set_ord}, |
| |
@ref{qt_set_weight}, |
| |
@ref{dp_gr_main} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node nqt_comp,,, $B%/%*!<%H(B |
| |
@subsection @code{nqt_comp} |
| |
@findex nqt_comp |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item nqt_cmp(@var{Expr1},@var{Exprt2}) |
| |
:: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item Expr1, Expr2 |
| |
quote$B7?(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B. |
| |
@item @var{Expr1} > @var{Exprt2} $B$J$i(B 1. |
| |
@item @var{Expr1} < @var{Exprt2} $B$J$i(B -1. |
| |
@item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]); |
| |
[nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)]; |
| |
$B=PNO(B: [-1,1,0] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize}, |
| |
@ref{qt_set_ord}, |
| |
@ref{qt_set_weight} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
@comment **************************************************************** |
| |
|
| |
@node qt_is_var,,, $B%/%*!<%H(B |
| |
@subsection @code{qt_is_var}, @code{qt_is_coef} |
| |
@findex qt_is_var |
| |
@findex qt_is_coef |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_is_var(@var{Expr}) |
| |
:: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B. |
| |
@item qt_is_coef(@var{Expr}) |
| |
:: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B. |
| |
$B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[qt_is_var(quote(x)), qt_is_var(quote(3/2))]; |
| |
$B=PNO(B: [1,0] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_rewrite}, |
| |
@ref{nqt_match_rewrite} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
@comment **************************************************************** |
| |
|
| |
@node qt_rewrite,,, $B%/%*!<%H(B |
| |
@subsection @code{qt_rewrite} |
| |
@findex qt_rewrite |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_rewrite(@var{Expr},@var{Rules},@var{Mode}) |
| |
:: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
quote$B7?(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@item Rules |
| |
$B%j%9%H(B |
| |
@item Mode |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B. |
| |
@code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B. |
| |
(noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B |
| |
$B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B) |
| |
@item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B. |
| |
@item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B. |
| |
$B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B. |
| |
@item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B |
| |
@var{Pattern} $B$HF1$8=q$-J}(B. |
| |
$B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B |
| |
[$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B]. |
| |
@item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B. |
| |
$B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()} |
| |
$B$5$l$F$+$i?k9T$5$l$k(B. |
| |
@end itemize |
| |
|
| |
$BCm0U(B: $B?t3XE*$K$O(B X*Y=Y*X $B$,2D49@-$rM?$($k5,B'$@$,(B, $B$3$l$r$=$N$^$^5,B'$H$7$F(B |
| |
$BM?$($k$H=q$-49$($,Dd;_$7$J$$(B. $B<!$NNc$G$O(B, $B>e$NNc$N$h$&$K=g=xHf3S$7(B, $B$?$H$($P(B, |
| |
$B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B. |
| |
@example |
| |
import("noro_rewrite.rr"); |
| |
R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]]; |
| |
qt_rewrite(`(x-y)^2,R,2); |
| |
$B=PNO(B: quote(x*x+-2*x*y+y*y) |
| |
@end example |
| |
|
| |
$B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B). |
| |
@example |
| |
import("noro_rewrite.rr"); |
| |
Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0), |
| |
quote(-Y*X)]; |
| |
Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)]; |
| |
Rext2=[quote(X*X),quote(0)]; |
| |
Rext=[Rext0,Rext1,Rext2]; |
| |
qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1); |
| |
$B=PNO(B: 2*x*y |
| |
|
| |
qt_set_coef([a,b,c,d]); |
| |
qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1); |
| |
$B=PNO(B: (d*a-c*b)*x*y |
| |
|
| |
@end example |
| |
|
| |
$BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B). |
| |
@example |
| |
import("noro_rewrite.rr"); |
| |
qt_set_coef([a,b]); |
| |
Rd1=[`d(X+Y), `d(X)+d(Y)]; |
| |
Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)]; |
| |
Rd3=[`d(N), `qt_is_coef(N), `0]; |
| |
Rd4=[`d(x),`1]; |
| |
Rd=[Rd1,Rd2,Rd3,Rd4]; |
| |
B=qt_rewrite( `d( (a*x+b)^3),Rd,2); |
| |
$B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a) |
| |
fctr(eval_quote(B)); |
| |
$B=PNO(B: [[3,1],[a,1],[a*x+b,2]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nqt_match}, |
| |
@ref{nqt_match_rewrite}, |
| |
@ref{qt_normalize} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B. |
| |
$B$3$N%f!<%68@8l$K$h$k3+H/$,(B 2005$BG/$N=U$^$G9T$o$l(B, $B$=$N$"$HAH$_9~$_4X?t<gBN$N(B |
| |
qt $B7O$N4X?t$,3+H/$5$l$?(B. |
| |
@item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B: |
| |
OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B |
| |
OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B). |
| |
@item Todo: qt $B7O$N4X?t$rMQ$$$?$*$b$7$m$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B. |
| |
@end itemize |
| |
|
| |
@comment **************************************************************** |
| |
|
| |
@node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section $BJ8;zNs=hM}(B |
| |
|
| |
@comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B |
| |
@node copyright,,, $BJ8;zNs=hM}(B |
| @subsection @code{copyright} |
@subsection @code{copyright} |
| @findex copyright |
@findex copyright |
| |
|
|
|
| |
|
| |
|
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B |
@comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B |
| @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
@comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
| @node string_to_tb tb_to_string write_to_tb,,, $B<B83E*;EMM$N4X?t(B |
@node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B |
| @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb} |
@subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb} |
| @findex string_to_tb |
@findex string_to_tb |
| @findex tb_to_string |
@findex tb_to_string |
|
|
| $B%G!<%?9=B$$G$"$k(B. |
$B%G!<%?9=B$$G$"$k(B. |
| @end itemize |
@end itemize |
| |
|
| @example |
@example |
| [219] T=string_to_tb(""); |
[219] T=string_to_tb(""); |
| |
|
| [220] write_to_tb("Hello",T); |
[220] write_to_tb("Hello",T); |
|
|
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B. |
$B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B. |
| @item |
@item |
| OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B. |
OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B. |
| io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16, |
io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16, |
| engine/str.c 1.5, parse/quote.c 1.9. |
engine/str.c 1.5, parse/quote.c 1.9. |
| @item |
@item |
| rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B |
rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B |
| asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32. |
asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32. |
| @end itemize |
@end itemize |
| |
|
| |
|
| |
@node set_print_function,,, $BJ8;zNs=hM}(B |
| |
@subsection @code{set_print_function} |
| |
@findex set_print_function |
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item set_print_function([@var{fname}]) |
| |
:: $B2hLLI=<(MQ$N4X?t$rEPO?(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item fname |
| |
$BJ8;zNs(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B. |
| |
@code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B. |
| |
@code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[219] def my_output(F) @{ |
| |
print("Out: ",0); print(rtostr(F)); |
| |
@} |
| |
[220] set_print_function("my_output"); |
| |
Out: 0 |
| |
[221] 1+2; |
| |
Out: 3 |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{rtostr} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node sprintf,,, $BJ8;zNs=hM}(B |
| |
@subsection @code{printf}, @code{fprintf}, @code{sprintf} |
| |
@findex sprintf |
| |
|
| |
@table @t |
| |
@item printf(@var{format}[,@var{args}]) |
| |
@item fprintf(@var{fd},@var{format}[,@var{args}]) |
| |
@item sprintf(@var{format}[,@var{args}]) |
| |
:: C $B$K;w$?%W%j%s%H4X?t(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf) |
| |
@item format |
| |
$BJ8;zNs(B |
| |
@item fd |
| |
$BHsIi@0?t(B($B%U%!%$%k5-=R;R(B) |
| |
@item args |
| |
$B%*%V%8%'%/%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B. |
| |
@item |
| |
@code{fprintf} $B$O7k2L$r(B, $B%U%!%$%k5-=R;R(B @var{fd} $B$N;X$9%U%!%$%k$K=q$-=P$9(B. |
| |
@item |
| |
@code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B. |
| |
@item |
| |
$B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B. |
| |
@var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B. |
| |
@item |
| |
$B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[0] printf("%a: rat = %a\n",10,x^2-1)$ |
| |
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 |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{rtostr},@ref{open_file},@ref{close_file} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B. |
| |
@item |
| |
$B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B. |
| |
@item |
| |
$B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B. |
| |
@item |
| |
@code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section $B%0%l%V%J!<4pDl(B |
| |
|
| |
@comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B |
| @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
@comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
| @node dp_gr_main,,, $B<B83E*;EMM$N4X?t(B |
@node dp_gr_main,,, $B%0%l%V%J!<4pDl(B |
| @subsection @code{dp_gr_main} |
@subsection @code{dp_gr_main} |
| @findex dp_gr_main |
@findex dp_gr_main |
| |
|
| Line 450 Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. |
|
| Line 1443 Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. |
|
| @item |
@item |
| @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. |
@code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. |
| $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B |
$B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B |
| $B7OE}$@$C$F$$$J$+$C$?(B. |
$B7OE}$@$C$F$$$J$+$C$?(B. |
| dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. |
dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. |
| @comment ~taka/this03/misc-2003/A2/dp |
@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. |
| @verbatim |
@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) |
| orderName : @grlex | @glex | @lex |
orderName : @@grlex | @@glex | @@lex |
| @end verbatim |
@end example |
| $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B. |
$B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B. |
| $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]} |
$BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]} |
| $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B |
$B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B |
| $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B |
$B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B |
| graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B. |
graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B. |
| $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995). |
$B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995). |
| M.Saito, B.Sturmfels, N.Takayama: |
M.Saito, B.Sturmfels, N.Takayama: |
| Gr\"obner Deformations of Hypergeometric Differential Equations (2000). |
Gr\"obner Deformations of Hypergeometric Differential Equations (2000). |
| @item |
@item |
| $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B |
$B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B |
| (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B |
(1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B |
| (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B |
(2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B |
| (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B |
(3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B |
| $B$N;0DL$j$N4pACE*J}K!$,$"$k(B. |
$B$N;0DL$j$N4pACE*J}K!$,$"$k(B. |
| $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B |
$B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B |
| $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B |
$B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B |
| $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B. |
$B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B. |
| @item |
@item |
| order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B. |
order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B. |
| @item |
@item |
| $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B. |
$BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B. |
| order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B. |
order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B. |
| @item |
@item |
| Line 509 Gr\"obner Deformations of Hypergeometric Differential |
|
| Line 1502 Gr\"obner Deformations of Hypergeometric Differential |
|
| [ R R R R R ] |
[ R R R R R ] |
| [(47774098944)*<<0,0,0,0,13>>+ ... ] |
[(47774098944)*<<0,0,0,0,13>>+ ... ] |
| |
|
| [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]]; |
[1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]]; |
| [[v,[x,y]],[order,[[x,5,y,1]]]] |
[[v,[x,y]],[order,[[x,5,y,1]]]] |
| [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt); |
[1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt); |
| [ 5 1 ] |
[ 5 1 ] |
| Line 517 Gr\"obner Deformations of Hypergeometric Differential |
|
| Line 1510 Gr\"obner Deformations of Hypergeometric Differential |
|
| [-y^4+y^2-1,x+y^3-y] |
[-y^4+y^2-1,x+y^3-y] |
| @end example |
@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 --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B. |
@item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B. |
| @item |
@item |
| @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B. |
@code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B. |
| @item |
@item |
| $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B |
$B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B |
| $B7OE}$@$C$F$$$J$+$C$?(B. |
$B7OE}$@$C$F$$$J$+$C$?(B. |
| dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. |
dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. |
| @item |
@item |
| OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
| builtin/gr.c 1.56--1.57, |
builtin/gr.c 1.56--1.57, |
| builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec), |
builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec), |
| Line 553 parse/parse.h 1.23--1.26 |
|
| Line 1541 parse/parse.h 1.23--1.26 |
|
| attribute, ring $B9=B$BN(B. |
attribute, ring $B9=B$BN(B. |
| @end itemize |
@end itemize |
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B |
@comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B |
| |
@node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B |
| |
@subsection @code{dp_weyl_gr_main} |
| |
@findex dp_weyl_gr_main |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw}) |
| |
:: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B) |
| |
@item f |
| |
$B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B) |
| |
@item vv |
| |
$B%j%9%H(B ($BJQ?t$N%j%9%H(B) |
| |
@item oo |
| |
$B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) |
| |
@item n |
| |
0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B] |
| |
@item m |
| |
$B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B] |
| |
@item b |
| |
??? |
| |
@item sw |
| |
Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B] |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. |
| |
$B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B |
| |
$B7OE}$@$C$F$$$J$+$C$?(B. |
| |
dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. |
| |
$B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B. |
| |
@item |
| |
$BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B |
| |
K[x_1, ..., x_n, d_1, ..., d_n] |
| |
$B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B |
| |
d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B. |
| |
$B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B. |
| |
@item |
| |
$BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B |
| |
K[x_1, ..., x_n, d_1, ..., d_n, h] |
| |
$B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B |
| |
d_i x_i = x_i d_i + h^2 |
| |
$B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B. |
| |
$B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/ |
| |
[[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]] |
| |
[1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$ |
| |
[1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]); |
| |
... |
| |
[1238] FF=map(dp_ptod,F[0],V); |
| |
[(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,0,0,0,0] |
| |
|
| |
[1244] FF=map(dp_ptod,F[0],V); |
| |
[(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,0,0,0,0,1,1,0>>+(-1)*<<0,0,0,0,1,0,0,1>>,(1)*<<0,0,0,0,1,0,2,0>>+(-1)*<<0,0,0,0,0,2,0,1>>,(-1)*<<0,0,0,0,0,3,0,0>>+(1)*<<0,0,0,0,2,0,1,0>>,(1)*<<0,0,0,0,0,0,3,0>>+(-1)*<<0,0,0,0,0,1,0,2>>] |
| |
|
| |
dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]); |
| |
|
| |
[1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]); |
| |
[ 0 0 0 0 1 1 1 1 ] |
| |
[ R R R R R R R R ] |
| |
... |
| |
|
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{dp_gr_main} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B. |
| |
@item |
| |
OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
| |
builtin/dp-supp.c 1.32--1.33 |
| |
builtin/dp.c 1.49--1.50 |
| |
@end itemize |
| |
|
| |
@comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B |
| |
@node dp_initial_term,,, $B%0%l%V%J!<4pDl(B |
| |
@subsection @code{dp_initial_term} |
| |
@findex dp_initial_term |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo}) |
| |
:: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B. |
| |
@item f |
| |
$BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B. |
| |
@item vv |
| |
$B%j%9%H(B ($BJQ?t$N%j%9%H(B) |
| |
@item oo |
| |
$B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B. |
| |
$B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex |
| |
$B$H=q$+$l$F$$$k(B. |
| |
@item |
| |
$B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B. |
| |
$B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B. |
| |
$B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B. |
| |
@item |
| |
$B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>; |
| |
(1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>> |
| |
[1220] dp_initial_term(F | order=[[1,1,1]]); |
| |
[ 1 1 1 ] |
| |
[ R R R ] |
| |
(1)*<<2,0,0>>+(1)*<<1,1,0>> |
| |
[1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]); |
| |
[ 1 0 0 ] |
| |
[ R R R ] |
| |
(1)*<<2,0,0>> |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
| |
builtin/dp-supp.c 1.32 |
| |
builtin/dp.c 1.49 |
| |
@end itemize |
| |
|
| |
@comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B |
| |
@node dp_order,,, $B%0%l%V%J!<4pDl(B |
| |
@subsection @code{dp_order} |
| |
@findex dp_order |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item dp_order(@var{f} | v=@var{vv}, order=@var{oo}) |
| |
:: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B?t$+?t$N%j%9%H(B |
| |
@item f |
| |
$BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B. |
| |
@item vv |
| |
$B%j%9%H(B ($BJQ?t$N%j%9%H(B) |
| |
@item oo |
| |
$B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
$B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B. |
| |
$B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B. |
| |
$B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B. |
| |
@item |
| |
dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B. |
| |
$B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex |
| |
$B$H=q$/O@J8$d652J=q$b$"$k(B. |
| |
@item |
| |
$B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>; |
| |
(1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>> |
| |
[1222] dp_order(F | order=[[1,1,1]]); |
| |
[ 1 1 1 ] |
| |
[ R R R ] |
| |
2 |
| |
[1223] dp_order(F | v=[x,y,z], order=[[x,1]]); |
| |
[ 1 0 0 ] |
| |
[ R R R ] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
| |
builtin/dp-supp.c 1.32 |
| |
builtin/dp.c 1.49 |
| |
@end itemize |
| |
|
| |
|
| |
@node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B |
| |
@subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B) |
| |
@findex nd_gr (module) |
| |
@findex nd_gr_trace (module) |
| |
@findex nd_weyl_gr (module) |
| |
@findex nd_weyl_gr_trace (module) |
| |
|
| |
@comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B --- |
| |
@table @t |
| |
@item nd_gr(@var{gen},@var{vars},@var{char},@var{ord}) |
| |
@itemx nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord}) |
| |
@item nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord}) |
| |
@itemx nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord}) |
| |
:: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item gen |
| |
$B%j%9%H$N%j%9%H(B |
| |
@item ord |
| |
@var{[IsPOT,Ord]} $B$J$k%j%9%H(B |
| |
@item return |
| |
$B%j%9%H$N%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B |
| |
$B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B |
| |
$B85$G$"$k%Y%/%H%k$H$_$J$9(B. |
| |
@item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B |
| |
$B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$r<B9T$9$k(B. $B$3$N>l9g(B, @var{gen} $B$O(B, $BB?9`<0(B |
| |
$B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B. |
| |
@item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B |
| |
$B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord} |
| |
$B$G9T$&(B. |
| |
@item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]]; |
| |
[[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]] |
| |
[1] nd_gr(Gen,[x,y,z],0,[0,0]); |
| |
[[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3, |
| |
-x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2 |
| |
+(-y^3+z*y^2-z*y)*x+z^4*y^2]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nd_gr}, @ref{nd_gr_trace} |
| |
@end table |
| |
|
| |
@node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B |
| |
@subsection @code{nd_gr}, @code{nd_gr_trace} (option) |
| |
@findex nd_gr (option) |
| |
@findex nd_gr_trace (option) |
| |
@findex nd_weyl_gr (option) |
| |
@findex nd_weyl_gr_trace (option) |
| |
|
| |
@comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B --- |
| |
|
| |
@table @t |
| |
@item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}]) |
| |
@itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}]) |
| |
@itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}]) |
| |
@itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}]) |
| |
:: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item opt |
| |
@var{key=value} $B$J$k%*%W%7%g%s@_Dj(B |
| |
@item return |
| |
$B%*%W%7%g%s$K$h$j0[$J$k(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B. |
| |
@item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B. |
| |
|
| |
@table @var |
| |
@item gentrace |
| |
@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B. |
| |
@item gensyz |
| |
@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B. |
| |
@item nora |
| |
@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B. |
| |
@end table |
| |
|
| |
@item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B, |
| |
@var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B |
| |
$B<!$NDL$j$G$"$k(B. |
| |
@table @var |
| |
@item GB |
| |
$B%0%l%V%J!<4pDl(B |
| |
@item Homo |
| |
$BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0. |
| |
@item Trace |
| |
$BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B |
| |
@item IntRed |
| |
$BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B |
| |
@item Ind |
| |
$B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B |
| |
@item InputRed |
| |
$B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B |
| |
(@var{gensyz} $B$,;XDj$5$l$?>l9g(B) |
| |
@item SpairTrace |
| |
$B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B |
| |
(syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B) |
| |
@end table |
| |
@item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B |
| |
$B4X?t$N9`$G@bL@$9$kM=Dj(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...] |
| |
[1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$ |
| |
[2] D[0]; |
| |
[c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...] |
| |
[3] D[2]; |
| |
[[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...] |
| |
[4] D[6]; |
| |
[[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nd_gr}, @ref{nd_gr_trace} |
| |
@end table |
| |
|
| |
|
| |
@node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section $B%7%9%F%`(B |
| |
|
| |
@comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B |
| @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
@comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
| @node asir-install.sh,,, $B<B83E*;EMM$N4X?t(B |
@node asir-install.sh,,, $B%7%9%F%`(B |
| @subsection @code{asir-port.sh}, @code{asir-install.sh} |
@subsection @code{asir-port.sh}, @code{asir-install.sh} |
| @findex asir-port.sh |
@findex asir-port.sh |
| @findex asir-install.sh |
@findex asir-install.sh |
| Line 572 parse/parse.h 1.23--1.26 |
|
| Line 1910 parse/parse.h 1.23--1.26 |
|
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B. |
asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B. |
| $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FFL $B$GG[I[$G$-$J$$ItJ,$r(B |
$B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B |
| ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B |
ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B |
| /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B. |
/home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B. |
| .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B. |
.asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B. |
| Line 587 asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B |
|
| Line 1925 asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B |
|
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B. |
$B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B. |
| @item |
@item |
| knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B. |
knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B. |
| @item |
@item |
| OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B |
OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B |
| 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.) |
2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.) |
| OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B. |
OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B. |
|
|
| @end itemize |
@end itemize |
| |
|
| |
|
| @node get_struct_name,,, $B<B83E*;EMM$N4X?t(B |
@node asirgui.hnd,,, $B%7%9%F%`(B |
| |
@subsection @code{asirgui.hnd} |
| |
@findex asirgui.hnd |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item asirguid.hnd |
| |
:: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B |
| |
@end table |
| |
|
| |
@comment **************************************************************** |
| |
|
| |
@itemize @bullet |
| |
@item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B. |
| |
@item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B. |
| |
@item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B. |
| |
@item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$k(B. winfep $B$G$O$"$i$+$8$a%U%!%$%k$KF~NO%9%/%j%W%H$r=q$$$F$*$$$F(B, asirgui $B$G0l9T$E$D<B9T$5$;$k$3$H$,$G$-$k(B. winfep $B$O%W%l%<%s%F!<%7%g%sMQ$N%=%U%H%&%(%"$G$"$k(B. $B$3$l$O(B asirgui.hnd $B$rMxMQ$7$F$$$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
// cl test.c user32.lib |
| |
|
| |
#include <windows.h> |
| |
#include <stdlib.h> |
| |
#include <stdio.h> |
| |
#include <process.h> |
| |
|
| |
int main() |
| |
@{ |
| |
|
| |
HWND hnd; |
| |
FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r"); |
| |
fscanf(fp,"%d",&hnd); |
| |
fclose(fp); |
| |
while (1) @{ |
| |
int c; |
| |
c = getchar(); |
| |
if ( c == '#' ) break; |
| |
PostMessage(hnd,WM_CHAR,c,1); |
| |
@} |
| |
return 0; |
| |
@} |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{xyz_abc} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$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 |
| |
@item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B. |
| |
@item @code{OpenXM_contrib2/windows/winfep} 1.1 |
| |
@end itemize |
| |
|
| |
|
| |
@comment **************************************************************** |
| |
|
| |
@node chdir,,, $B%7%9%F%`(B |
| |
@subsection @code{chdir}, @code{pwd} |
| |
@findex chdir |
| |
@findex pwd |
| |
|
| |
@comment --- $B%G%#%l%/%H%jA`:n(B --- |
| |
@table @t |
| |
@item 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%7%9%F%`(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 getpid,,, $B%7%9%F%`(B |
| |
@subsection @code{getpid} |
| |
@findex getpid |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item getpid() |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item asir $B$N%W%m%;%9HV9f$rLa$9(B. |
| |
@item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U=P$"$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[219] getpid() |
| |
3214 |
| |
@end example |
| |
|
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B ox_work_dir() $B4X?t$,0l0U$J:n6H%U%!%$%kL>$rF@$k$?$a$K;H$o$l$F$$$k(B. |
| |
src/asir-contrib/packages/src/misc/rr 1.3, |
| |
asir2000/builtin/file.c 1.28, rat.c 1.5, |
| |
asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18). |
| |
@end itemize |
| |
|
| |
|
| |
@comment **************************************************************** |
| |
|
| |
|
| |
@node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section $B8@8l(B |
| |
|
| |
@node get_struct_name,,, $B8@8l(B |
| @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at} |
@subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at} |
| @findex get_struct_name |
@findex get_struct_name |
| @findex get_element_names |
@findex get_element_names |
|
|
| @item |
@item |
| @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B. |
@code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B. |
| @item |
@item |
| @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B. |
@code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B. |
| @item |
@item |
| @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B. |
@code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B. |
| @item |
@item |
|
|
| @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] |
|
|
| @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8. |
@item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8. |
| @end itemize |
@end itemize |
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B |
|
| @node dp_weyl_gr_main,,, $B<B83E*;EMM$N4X?t(B |
|
| @subsection @code{dp_weyl_gr_main} |
|
| @findex dp_weyl_gr_main |
|
| |
|
| |
@comment mapat |
| |
@node mapat,,, $B8@8l(B |
| |
@subsection @code{mapat} |
| |
@findex mapat |
| |
|
| |
@table @t |
| |
@item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...]) |
| |
:: @var{pos} $B$KBP$9$k(B map $B4X?t(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%*%V%8%'%/%H(B |
| |
@item pos |
| |
$B@0?t(B |
| |
@item arg0, arg1, arg2, ... |
| |
$B%*%V%8%'%/%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat} |
| |
$B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B. |
| |
@item |
| |
@code{mapat(fname,0,A0,A1,...)} $B$O(B |
| |
@code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B. |
| |
@item |
| |
$B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[219] mapat(deg,1,x^2+y^3+x+y,[x,y]); |
| |
[2,3] |
| |
[220] mapat(subst,1,x+y+z,[x,y,z],2); |
| |
[y+z+2,x+z+2,x+y+2] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{map} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B. |
| |
@end itemize |
| |
|
| |
@comment list |
| |
@node list,,, $B8@8l(B |
| |
@subsection @code{list} |
| |
@findex list |
| |
|
| |
@table @t |
| |
@item list([@var{arg0}, @var{arg1}, ...]) |
| |
:: list $B$r@8@.$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item arg0, arg1, arg2, ... |
| |
$B%*%V%8%'%/%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[219] list(1,2,3); |
| |
[1,2,3] |
| |
[220] list(1,2,[3,4]); |
| |
[1,2,[3,4]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{cons} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node assoc,,, $B8@8l(B |
| |
@subsection @code{assoc} |
| |
@findex assoc |
| |
|
| @comment --- $B4X?t$N4JC1$J@bL@(B --- |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item assoc(@var{a},@var{b}) |
| |
:: $BO"A[%j%9%H$r$D$/$k(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
List |
| |
@item a |
| |
List |
| |
@item b |
| |
List |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B |
| |
[[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...] |
| |
$B$J$k?7$7$$%j%9%H$r@8@.$9$k(B. |
| |
@end itemize |
| |
|
| |
$B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B, |
| |
@code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B. |
| |
@code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B. |
| |
|
| |
@example |
| |
[1192] A=["dog","cat","snake"]; |
| |
[dog,cat,snake] |
| |
[1193] B=[4,4,0]; |
| |
[4,4,0] |
| |
[1194] assoc(A,B); |
| |
[[dog,4],[cat,4],[snake,0]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{cons}, @ref{append} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B. |
| |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B |
| |
builtin/list.c 1.9 |
| |
parse/eval.c 1.35, |
| |
parse/parse.h 1.31, |
| |
parse/quote.c 1.14--1.16. |
| |
@end itemize |
| |
|
| |
|
| |
@node set_secure_flag,,, $B8@8l(B |
| |
@subsection @code{set_secure_flag}, @code{set_secure_mode} |
| |
@findex set_secure_flag |
| |
@findex set_secure_mode |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| @table @t |
@table @t |
| @item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw}) |
@item set_secure_flag(@var{fname},@var{m}) |
| :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B. |
@itemx set_secure_mode(@var{m}) |
| |
:: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B) |
| @end table |
@end table |
| |
|
| @table @var |
@table @var |
| @item return |
@item return |
| $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B) |
$B@0?t(B |
| @item f |
@item fname |
| $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B) |
$BJ8;zNs(B |
| @item vv |
|
| $B%j%9%H(B ($BJQ?t$N%j%9%H(B) |
|
| @item oo |
|
| $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) |
|
| @item n |
|
| 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B] |
|
| @item m |
@item m |
| $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B] |
$B@0?t(B |
| @item b |
|
| ??? |
|
| @item sw |
|
| Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B] |
|
| @end table |
@end table |
| |
|
| @itemize @bullet |
@itemize @bullet |
| |
@item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B |
| |
asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B. |
| |
@code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B. |
| |
@code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B |
| |
$B4X?t$7$+<B9T$G$-$J$$(B. |
| |
$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B, |
| |
$BG$0U$N4X?t$r<B9T$G$-$k(B. |
| |
$B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B. |
| |
$B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B. |
| |
$B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B, |
| |
security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B. |
| @item |
@item |
| @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. |
@code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m} |
| $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B |
$B$K$9$k(B. |
| $B7OE}$@$C$F$$$J$+$C$?(B. |
$B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B. |
| dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. |
@item |
| $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B. |
@var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B, |
| @item |
$B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B. |
| $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B |
quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B. |
| K[x_1, ..., x_n, d_1, ..., d_n] |
@item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B |
| $B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B |
$B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B. |
| d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B. |
$B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B. |
| $B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B. |
|
| @item |
|
| $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B |
|
| K[x_1, ..., x_n, d_1, ..., d_n, h] |
|
| $B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B |
|
| d_i x_i = x_i d_i + h^2 |
|
| $B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B. |
|
| $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B. |
|
| @end itemize |
@end itemize |
| |
|
| @example |
@example |
| [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/ |
[1194] set_secure_flag("print_input_form_",1); |
| [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]] |
1 |
| [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$ |
[1195] set_secure_flag("fctr",1); |
| [1222] dp_weyl_gr_main(F | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]); |
1 |
| |
[220] set_secure_mode(1); |
| [ 0 0 0 0 1 1 1 1 ] |
1 |
| [ R R R R R R R R ] |
[1197] fctr((x-1)^3); |
| internal error (SEGV) |
[[1,1],[x-1,3]] |
| |
[1198] fctr(shell("ls")); |
| |
evalf : shell not permitted |
| return to toplevel |
return to toplevel |
| |
@end example |
| |
|
| [1238] FF=map(dp_ptod,F[0],V); |
@table @t |
| [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,0,0,0,0] |
@item $B;2>H(B |
| |
@ref{timer} |
| |
@end table |
| |
|
| [1244] FF=map(dp_ptod,F[0],V); |
@noindent |
| [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,0,0,0,0,1,1,0>>+(-1)*<<0,0,0,0,1,0,0,1>>,(1)*<<0,0,0,0,1,0,2,0>>+(-1)*<<0,0,0,0,0,2,0,1>>,(-1)*<<0,0,0,0,0,3,0,0>>+(1)*<<0,0,0,0,2,0,1,0>>,(1)*<<0,0,0,0,0,0,3,0>>+(-1)*<<0,0,0,0,0,1,0,2>>] |
ChangeLog |
| |
@itemize @bullet |
| |
@item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B |
| |
web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B. |
| |
sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B. |
| |
$B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B. |
| |
@code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B |
| |
$B4X?t$7$+<B9T$G$-$J$$(B. |
| |
v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B, |
| |
$BG$0U$N4X?t$r<B9T$G$-$k(B. |
| |
@item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B. |
| |
@item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B |
| |
$BMxMQ$9$k(B. |
| |
cgi-asir.sh $B$G$O(B |
| |
@code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B. |
| |
@item |
| |
1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c |
| |
@item |
| |
1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c |
| |
@item |
| |
1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c |
| |
@item |
| |
1.33 OpenXM_contrib2/asir2000/parse/parse.h |
| |
@end itemize |
| |
|
| dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]); |
@node initialize_static_variable,,, $B8@8l(B |
| |
@subsection @code{initialize_static_variable} |
| |
@findex initialize_static_variable |
| |
|
| [1246] dp_weyl_gr_main(F | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]); |
|
| [ 0 0 0 0 1 1 1 1 ] |
@comment --- $B@bL@(B --- |
| [ R R R R R R R R ] |
@table @t |
| |
@item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B. |
| |
@end table |
| |
|
| |
|
| |
@itemize @bullet |
| |
@item static $BJQ?t$N<h07(B. |
| |
$B2<$NNc$r;2>H$N$3$H(B. |
| |
@end itemize |
| |
|
| |
|
| |
@example |
| |
if (1) @{ |
| |
module abc; |
| |
static A; |
| |
A=1; |
| |
endmodule; |
| |
@} else @{ @}; |
| |
|
| |
end$ |
| |
$B$r(B t.rr $B$H$9$k$H$-(B, |
| |
|
| |
[6] load("./t.rr"); |
| |
1 |
| internal error (SEGV) |
internal error (SEGV) |
| return to toplevel |
$B$H$J$k(B. |
| |
|
| |
t.rr $B$r(B |
| |
if (1) @{ |
| |
module abc; |
| |
static A; |
| |
localf initA; |
| |
localf foo; |
| |
def initA() @{ |
| |
A=1; |
| |
@} |
| |
initA(); |
| |
def foo() @{ |
| |
return A; |
| |
@} |
| |
endmodule; |
| |
@} else @{ @}; |
| |
|
| |
end$ |
| |
$B$H$9$k$H@5$7$/=i4|2=$5$l$k(B. |
| @end example |
@end example |
| |
|
| |
@comment --- ChangeLog |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25. |
| |
@item oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B. |
| |
@item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B. |
| |
@end itemize |
| |
|
| |
@comment **************************************************************** |
| |
|
| |
@node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section $B?tO@!&Be?t(B |
| |
|
| |
|
| |
@node small_jacobi,,, $B?tO@!&Be?t(B |
| |
@subsection @code{small_jacobi} |
| |
@findex small_jacobi |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| @table @t |
@table @t |
| |
@item small_jacobi(@var{a},@var{m}) |
| |
:: Jacobi $B5-9f$N7W;;(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item arg1, arg2 |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B, |
| |
x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B. |
| |
@item |
| |
Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B). |
| |
@item |
| |
$B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1286] small_jacobi(2,3); |
| |
-1 |
| |
[1287] small_jacobi(2,7); |
| |
1 |
| |
@end example |
| |
|
| |
@table @t |
| @item $B;2>H(B |
@item $B;2>H(B |
| @ref{dp_gr_main} |
http://members.jcom.home.ne.jp/yokolabo/asirlib/ |
| |
$B$b8+$F$M(B. |
| @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 |
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B. |
@item $B$3$N4X?t$NM3Mh$OITL@(B. |
| @item |
|
| OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
|
| builtin/dp-supp.c 1.32--1.33 |
|
| builtin/dp.c 1.49--1.50 |
|
| @end itemize |
@end itemize |
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B |
|
| @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B |
|
| @subsection @code{dp_initial_term} |
|
| @findex dp_initial_term |
|
| |
|
| |
@node noro_matrix.rr,,, $B?tO@!&Be?t(B |
| |
@subsection @code{noro_matrix.rr} |
| |
@findex noro_matrix.rr |
| |
|
| @comment --- $B4X?t$N4JC1$J@bL@(B --- |
@comment --- $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 |
@table @t |
| @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo}) |
@item linalg.unit_mat(@var{arg1}) |
| :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B. |
@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 |
@end table |
| |
|
| |
|
| |
@itemize @bullet |
| |
@item $B4JC1$J2r@b$*$h$S<BNc$O(B http://www.math.kobe-u.ac.jp/HOME/taka/2007/knx/noro_matrix-ja.txt $B$r;2>H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
load("noro_matrix.rr"); |
| |
A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]); |
| |
B=linalg.jordan_canonical_form(A); |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{invmat} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B. |
| |
@item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr |
| |
@end itemize |
| |
|
| |
|
| |
@node f_res,,, $B?tO@!&Be?t(B |
| |
@subsection @code{f_res} |
| |
@findex f_res |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item f_res |
| |
@end table |
| |
|
| |
|
| |
@itemize @bullet |
| |
@item f_res $B$O3F<o$N=*7k<0$r7W;;$9$k%b%8%e!<%k$G$"$k(B. ox_grep("f_res"); $B$G(B online manual $B$r1\Mw2DG=$G$"$k(B. |
| |
@end itemize |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B. |
| |
@item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr |
| |
@end itemize |
| |
|
| |
|
| |
@node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B |
| |
@section D $B2C72$N@)8B$K4X$9$k4X?t(B |
| |
|
| |
|
| |
@node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
| |
@subsection @code{nk_restriction.restriction} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.restriction |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W}) |
| |
:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| @table @var |
@table @var |
| @item return |
@item Id |
| $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B. |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| @item f |
@item VL |
| $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B. |
$BJQ?t$N%j%9%H(B |
| @item vv |
@item DVL |
| $B%j%9%H(B ($BJQ?t$N%j%9%H(B) |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
| @item oo |
@item W |
| $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) |
$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
| @end table |
@end table |
| |
|
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B. |
@var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B |
| $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex |
($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) |
| $B$H=q$+$l$F$$$k(B. |
|
| @item |
@item |
| $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B. |
$B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B |
| $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B. |
$BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B |
| $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B. |
x,y $B$K$D$$$F@)8B$r9T$&!#(B |
| @item |
|
| $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B. |
|
| @end itemize |
@end itemize |
| |
|
| |
$B0J2<$O!"%$%G%"%k(B |
| |
@iftex |
| |
@tex |
| |
$I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ |
| |
@end tex |
| |
$B$N(B |
| |
@tex |
| |
$x$ |
| |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
I = D . @{ x dx -1, y dy - 1 @} $B$N(B x |
| |
@end ifinfo |
| |
$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B |
| @example |
@example |
| [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>; |
[1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]); |
| (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>> |
-- generic_bfct_and_gr :0.001sec(0.001629sec) |
| [1220] dp_initial_term(F | order=[[1,1,1]]); |
generic bfct : [[1,1],[s-1,1]] |
| [ 1 1 1 ] |
S0 : 1 |
| [ R R R ] |
B_@{S0@} length : 2 |
| (1)*<<2,0,0>>+(1)*<<1,1,0>> |
-- fctr(BF) + base :0.000999sec(0.0005109sec) |
| [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]); |
[[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]] |
| [ 1 0 0 ] |
|
| [ R R R ] |
|
| (1)*<<2,0,0>> |
|
| @end example |
@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 |
@table @t |
| @item $B;2>H(B |
@item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}) |
| @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm} |
:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B |
| @end table |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item Id |
| |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| |
@item VL |
| |
$BJQ?t$N%j%9%H(B |
| |
@item DVL |
| |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
| |
@item W |
| |
$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(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 |
| |
@iftex |
| |
@tex |
| |
$I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ |
| |
@end tex |
| |
$B$N(B |
| |
@tex |
| |
$x$ |
| |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
I = D . @{ x dx -1, y dy - 1 @} $B$N(B x |
| |
@end ifinfo |
| |
$B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B |
| |
@example |
| |
[1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]); |
| |
-- generic_bfct_and_gr :0.002sec(0.001652sec) |
| |
generic bfct : [[1,1],[s-1,1]] |
| |
S0 : 1 |
| |
B_@{S0@} length : 2 |
| |
-- fctr(BF) + base :0sec(0.000566sec) |
| |
-- restriction_ideal_internal :0.001sec(0.0007441sec) |
| |
[-1] |
| |
@end example |
| |
|
| |
@node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
| |
@subsection @code{nk_restriction.integration} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.integration |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W}) |
| |
:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$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 |
| |
@iftex |
| |
@tex |
| |
$I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $ |
| |
@end tex |
| |
$B$N(B |
| |
@tex |
| |
$t$ |
| |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t |
| |
@end ifinfo |
| |
$B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6]) |
| |
@example |
| |
[1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x], |
| |
[dt,dx],[1,0]); |
| |
-- generic_bfct_and_gr :0.001sec(0.001796sec) |
| |
generic bfct : [[1,1],[s,1],[s-1,1]] |
| |
S0 : 1 |
| |
B_@{S0@} length : 2 |
| |
-- fctr(BF) + base :0.001sec(0.0006731sec) |
| |
[[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]] |
| |
@end example |
| |
|
| |
@node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
| |
@subsection @code{nk_restriction.integration_ideal} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.integration_ideal |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}) |
| |
:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item Id |
| |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| |
@item VL |
| |
$BJQ?t$N%j%9%H(B |
| |
@item DVL |
| |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
| |
@item W |
| |
$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| |
@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
| |
@comment --- @bullet $B$O9uE@IU$-(B --- |
| |
@itemize @bullet |
| |
@item |
| |
@var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(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 |
| |
@iftex |
| |
@tex |
| |
$I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $ |
| |
@end tex |
| |
$B$N(B |
| |
@tex |
| |
$t$ |
| |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t |
| |
@end ifinfo |
| |
$B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6]) |
| |
@example |
| |
[1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x], |
| |
[dt,dx],[1,0]); |
| |
-- generic_bfct_and_gr :0.002999sec(0.002623sec) |
| |
generic bfct : [[1,1],[s,1],[s-1,1]] |
| |
S0 : 1 |
| |
B_@{S0@} length : 2 |
| |
-- fctr(BF) + base :0.001sec(0.001091sec) |
| |
-- integration_ideal_internal :0.002sec(0.001879sec) |
| |
[2*x*dx+1] |
| |
[1432] |
| |
@end example |
| |
|
| |
@node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
| |
@subsection @code{nk_restriction.ann_mul} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.ann_mul |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL}) |
| |
:: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I}, |
| |
@var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B, |
| |
@var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B. |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item I |
| |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| |
@item J |
| |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| |
@item VL |
| |
$BJQ?t$N%j%9%H(B |
| |
@item DVL |
| |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
| |
@end table |
| |
|
| |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| |
@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
| |
@comment --- @bullet $B$O9uE@IU$-(B --- |
| |
@itemize @bullet |
| |
@item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option) |
| |
@subsection @code{nk_restriction (option)} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction (option) |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
| |
@item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord}) |
| |
@item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
| |
@item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord}) |
| |
:: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item @var{n} |
| |
0 $B$^$?$O(B 1 |
| |
@item @var{p} |
| |
$B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B) |
| |
@item @var{m} |
| |
$B@0?t(B |
| |
@item @var{b} |
| |
0, 1, 2, 3 $B$N$$$:$l$+(B |
| |
@item @var{ord} |
| |
$B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B |
| |
@end table |
| |
|
| |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| |
@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
| |
@comment --- @bullet $B$O9uE@IU$-(B --- |
| |
@itemize @bullet |
| |
@item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B. |
| |
|
| |
restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B |
| |
@code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B |
| |
|
| |
@iftex |
| |
@tex |
| |
{\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I} |
| |
@end tex |
| |
@end iftex |
| |
@ifinfo |
| |
J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I |
| |
@end ifinfo |
| |
|
| |
$B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B. |
| |
$B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B |
| |
$B%3%a%s%H$r;2>H(B. |
| |
|
| |
restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B |
| |
restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B, |
| |
$B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B. |
| |
|
| |
@item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B. |
| |
$B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B. |
| |
$B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B, |
| |
$B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B. |
| |
|
| |
@item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B |
| |
$B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B. |
| |
@var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B |
| |
$BMxMQ$G$-$k(B. |
| |
|
| |
@item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B |
| |
$B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B. |
| |
|
| |
@item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B |
| |
$B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B. |
| |
$B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B. |
| |
|
| |
0: $B@F<!2=$J$7(B, trace $B$J$7(B |
| |
|
| |
1: $B@F<!2=$J$7(B, trace $B$"$j(B |
| |
|
| |
2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B) |
| |
|
| |
3: $B@F<!2=$"$j(B, trace $B$"$j(B |
| |
|
| |
@item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B |
| |
$B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker |
| |
$B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B. |
| |
$B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B. |
| |
|
| |
$B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.) |
| |
@end itemize |
| |
|
| |
$B0J2<$O(B, |
| |
@iftex |
| |
@tex |
| |
$ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $ |
| |
@end tex |
| |
$B$N(B annihilator |
| |
@tex |
| |
$I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1) |
| |
\partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1, |
| |
(xt-1) \partial_x+at \}$ |
| |
@end tex |
| |
$B$N(B |
| |
@tex |
| |
$t$ |
| |
@end tex |
| |
$B$K$D$$$F$N@QJ,%$%G%"%k(B |
| |
@tex |
| |
$J$ |
| |
@end tex |
| |
$B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3]) |
| |
@end iftex |
| |
@ifinfo |
| |
t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} |
| |
$B$N(B annihilator |
| |
I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab, |
| |
(1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @} |
| |
$B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J |
| |
$B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3]) |
| |
@end ifinfo |
| |
@example |
| |
[1555] A=ndbf.ann_n([t,1-t,1-x*t])$ |
| |
[1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a); |
| |
[(x^2-x)*dx^2+((t-1)*dt+(a+b+1)*x-c+1)*dx+b*a,(-t+1)*x*dx+(t^2-t)*dt+(-c+2)*t+b-1,(t*x-1)*dx+a*t] |
| |
[1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]); |
| |
-- nd_weyl_gr :0sec(0.001875sec) |
| |
-- weyl_minipoly_by_elim :0.008001sec(0.006133sec) |
| |
-- generic_bfct_and_gr :0.008001sec(0.006181sec) |
| |
generic bfct : [[-1,1],[s,1],[s-a+c-1,1]] |
| |
S0 : 0 |
| |
B_{S0} length : 1 |
| |
-- fctr(BF) + base :0sec(0.003848sec) |
| |
-- integration_ideal_internal :0sec(0.07707sec) |
| |
[[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]] |
| |
@end example |
| |
@iftex |
| |
$B$3$N=PNO$O(B |
| |
@tex |
| |
$\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \} |
| |
- 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$ |
| |
@end tex |
| |
$B$G$"$k$3$H$r0UL#$9$k(B. |
| |
@end iftex |
| |
@ifinfo |
| |
$B$3$N=PNO$O(B |
| |
@{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I |
| |
$B$G$"$k$3$H$r0UL#$9$k(B. |
| |
@end ifinfo |
| |
|
| |
@node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B |
| |
@subsection @code{nk_restriction.trans_inhomo} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.trans_inhomo |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W}) |
| |
:: D $B2C72$N@)8B%$%G%"%k(B, $B@QJ,%$%G%"%k$N@8@.85$KBP$9$kHs@F<!ItJ,$N>pJs$+$i(B, $BG$0U$N85$KBP$9$kHs@F<!ItJ,$r7W;;$9$k4X?t(B |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item P |
| |
$B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B |
| |
@item INT |
| |
nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B |
| |
|
| |
nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B |
| |
@item VL |
| |
$BJQ?t$N%j%9%H(B |
| |
@item DVL |
| |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
| |
@item W |
| |
$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| |
@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
| |
@comment --- @bullet $B$O9uE@IU$-(B --- |
| |
@itemize @bullet |
| |
@item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B. |
| |
@item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B. |
| |
@end itemize |
| |
|
| |
@node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B |
| |
@subsection @code{nk_restriction.ost_integration_ideal} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.ost_integration_ideal |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
$B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B |
| |
$B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003). |
| |
@table @t |
| |
@item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB}) |
| |
:: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B. |
| |
@item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB}) |
| |
:: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B. |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item Id |
| |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| |
@item VL |
| |
$BJQ?t$N%j%9%H(B |
| |
@item DVL |
| |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
| |
@item W |
| |
$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
| |
@item LB |
| |
$B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B |
| |
@item UB |
| |
$B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| |
@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
| |
@comment --- @bullet $B$O9uE@IU$-(B --- |
| |
@itemize @bullet |
| |
@item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B. |
| |
@end itemize |
| |
|
| |
$B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B. |
| |
@iftex |
| |
@tex |
| |
$ \int_0^\infty \exp((-t^3+t)x) dt $ |
| |
@end tex |
| |
$B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
| |
@tex |
| |
$ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $ |
| |
@end tex |
| |
$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B. |
| |
@end iftex |
| |
@ifinfo |
| |
\int_0^$B!g(B exp((-t^3+t)x) dt |
| |
$B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
| |
I = < dt +(3t^2-1)x, dx+t^3-t > |
| |
$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B. |
| |
@end ifinfo |
| |
@example |
| |
[1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$ |
| |
[1872] VL=[t,x]$ |
| |
[1873] DVL=[dt,dx]$ |
| |
[1874] W=[1,0]$ |
| |
[1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]); |
| |
-- nd_weyl_gr :0.008sec(0.006768sec) |
| |
-- weyl_minipoly :0.004001sec(0.003029sec) |
| |
-- generic_bfct_and_gr :0.012sec(0.0129sec) |
| |
generic bfct : [[1,1],[s,1],[s-2,1]] |
| |
S0 : 2 |
| |
B_{S0} length : 3 |
| |
-- fctr(BF) + base :0.008sec(0.007395sec) |
| |
-- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec) |
| |
[-27*x^3*dx^3-54*x^2*dx^2+(4*x^3+3*x)*dx+4*x^2-3,27*x^2*dx^4+135*x*dx^3+(-4*x^2+105)*dx^2-16*x*dx-8] |
| |
|
| |
|
| |
[1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]); |
| |
($BN,(B) |
| |
[27*x^3*dx^3+54*x^2*dx^2+(-4*x^3-3*x)*dx-4*x^2+3,-27*x^2*dx^4-135*x*dx^3+(4*x^2-105)*dx^2+16*x*dx+8] |
| |
@end example |
| |
$B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B. |
| |
|
| |
@node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B |
| |
@subsection @code{nk_restriction.ost_sum} |
| |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| |
@findex nk_restriction.ost_sum |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@table @t |
| |
@item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W}) |
| |
:: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B. |
| |
@end table |
| |
|
| |
@comment --- $B0z?t$N4JC1$J@bL@(B --- |
| |
@table @var |
| |
@item Id |
| |
$B%$%G%"%k$N@8@.85$N%j%9%H(B |
| |
@item VL |
| |
$BJQ?t$N%j%9%H(B |
| |
@item DVL |
| |
$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B) |
| |
@item W |
| |
$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| |
@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
| |
@comment --- @bullet $B$O9uE@IU$-(B --- |
| |
@itemize @bullet |
| |
@item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B. |
| |
@item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B. |
| |
@end itemize |
| |
|
| |
$B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B. |
| |
@iftex |
| |
@tex |
| |
$ \sum_{k=a}^b {n \choose k} $ |
| |
@end tex |
| |
$B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
| |
@tex |
| |
$ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $ |
| |
@end tex |
| |
$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B. |
| |
@end iftex |
| |
@ifinfo |
| |
\sum_{k=a}^b n_C_k |
| |
$B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
| |
I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) > |
| |
$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B. |
| |
@end ifinfo |
| |
@example |
| |
[1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$ |
| |
[1872] VL=[k,n]$ |
| |
[1873] DVL=[ek,en]$ |
| |
[1874] W=[1,0]$ |
| |
[1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1); |
| |
-- nd_weyl_gr :0.006667sec(0.004057sec) |
| |
-- weyl_minipoly :0sec(0.001163sec) |
| |
-- generic_bfct_and_gr :0.01sec(0.007085sec) |
| |
generic bfct : [[1,1],[s,1]] |
| |
S0 : 0 |
| |
B_{S0} length : 1 |
| |
-- fctr(BF) + base :0.003333sec(0.001785sec) |
| |
-- restriction_ideal_internal :0sec(0.002336sec) |
| |
[[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]] |
| |
@end example |
| |
|
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B. |
| |
@item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B. |
| |
@item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B |
| |
$B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B. |
| |
@item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B. |
| |
@end itemize |
| |
|
| |
@node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B |
| |
@section $B$=$NB>(B($BL$J,N`(B) |
| |
|
| |
@node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_pfn.rkn} |
| |
@findex tk_pfn.rkn |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H}) |
| |
:: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B |
| |
@item F, X, Y, Xs, Ys, Ht, H |
| |
@var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. |
| |
@var{X} $B$OFHN)JQ?t%j%9%H(B. |
| |
@var{Y} $B$O=>B0JQ?t%j%9%H(B. |
| |
@var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B. |
| |
@var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B. |
| |
@var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B. |
| |
@var{H} $B$OHy>/?t(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B. |
| |
@item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B. |
| |
@item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$k$3$H$,2r$,B8:_$9$kI,MW==J,>r7o$G$"$k(B. $B$3$N>r7o$,@.N)$7$J$$$H$-$K$3$N4X?t$rMQ$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B. |
| |
@item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B. |
| |
@item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B. |
| |
@item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B. |
| |
@item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B. |
| |
@item $B;29M(B. taka_runge_kutta.rr, yang.rr |
| |
@end itemize |
| |
|
| |
@example |
| |
[1355] import("tk_pfn.rr"); |
| |
[1590] tk_pfn.test1(); |
| |
Value at (3,0.1)[8.99,6,-0.2] |
| |
Value at (1,3)[-8,2,-6] |
| |
[[[1,3],-8,2,-6], |
| |
[[1,2.9],-7.41,2,-5.8], |
| |
--- snip --- |
| |
[[3,0.1],8.99,6,-0.2]] |
| |
@end example |
| |
|
| |
|
| @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
@comment --- 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 |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item |
@item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B. |
| OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
@item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2 |
| builtin/dp-supp.c 1.32 |
@item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B. |
| builtin/dp.c 1.49 |
|
| @end itemize |
@end itemize |
| |
|
| @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B |
|
| @node dp_order,,, $B<B83E*;EMM$N4X?t(B |
|
| @subsection @code{dp_order} |
|
| @findex dp_order |
|
| |
|
| |
@node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_pfn.graph} |
| |
@findex tk_pfn.graph |
| |
|
| @comment --- $B4X?t$N4JC1$J@bL@(B --- |
@comment --- $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 |
@table @t |
| @item dp_order(@var{f} | v=@var{vv}, order=@var{oo}) |
@item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step}) |
| :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B. |
:: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B. |
| @end table |
@end table |
| |
|
| @table @var |
@table @var |
| @item return |
@item return |
| $B?t$+?t$N%j%9%H(B |
$B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...]. |
| @item f |
[x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B |
| $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B. |
y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B. |
| @item vv |
@item Pf, Dom, Iv, Step |
| $B%j%9%H(B ($BJQ?t$N%j%9%H(B) |
@var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. $BFHN)JQ?t$O(B x, y $B$G8GDj(B. |
| @item oo |
@var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B. |
| $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) |
@var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B. |
| |
@var{Step} $B9o$_I}(B. |
| @end table |
@end table |
| |
|
| @itemize @bullet |
@itemize @bullet |
| |
@item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B. |
| |
@item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B. |
| |
@item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B. |
| |
@item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.testgraph1()}, @code{tk_pfn.testgraph2()} $B$r;2>H(B. |
| |
@item option $B$H$7$F$O(B fit=1 $B$,$"$k(B. Z$B<4$rE,59D4@0$9$k(B. |
| |
@item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr"); |
| |
[1590] tk_pfn.testgraph1(); |
| |
|
| |
$B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B. |
| |
def testgraph1() { |
| |
/* tk_bess2.bess2pf(1/2); */ |
| |
Pf= [[[ 0, (1)/(x), 0 ], |
| |
[ -x, (2*x^2+1)/(x), -2*x ], |
| |
[ -y, 0, 0 ]], |
| |
[[ 0, 0, (1)/(y) ], |
| |
[ -x, 0, 0 ], |
| |
[ -x, (1/2)/(x), (-1/2)/(y) ]]]; |
| |
/* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */ |
| |
Iv = [0.105994,-0.651603,-0.760628]; |
| |
Dom=[[0.5,1.5],[1.5,9]]; |
| |
Step = 0.5; |
| |
return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1); |
| |
} |
| |
|
| |
|
| |
@end example |
| |
|
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B. |
| |
@item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8 |
| |
@end itemize |
| |
|
| |
@node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_rk.runge_kutta_4} |
| |
@findex tk_rk.runge_kutta_4 |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step}) |
| |
:: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...]. |
| |
@var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B. |
| |
@item Eq, X, Y, Step |
| |
@var{Eq} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$G$"$k(B. |
| |
@var{X} $BFHN)JQ?tL>(B. |
| |
@var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. |
| |
@var{Step} $B9o$_I}(B. |
| |
@item X0, Y0, Terminal |
| |
@var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B. |
| |
@var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B. |
| |
@var{Terminal} @var{X} $B$N=*CeE@(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B. |
| |
@item $B$3$N4X?t$OO"N)>oHyJ,J}Dx<0(B Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$r?tCME*$K2r$/(B. |
| |
@item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B |
| |
@code{tk_rk.test4()} $B$r;2>H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[1355] import("taka_runge_kutta.rr"); |
| |
[1590] tk_rk.test4(); |
| |
|
| |
$B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) |
| |
taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B. |
| |
|
| |
def test4() { |
| |
A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1); |
| |
taka_plot_auto(A); |
| |
return(A); |
| |
} |
| |
|
| |
@end example |
| |
|
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2000 $BG/Be$NA0H>$K:G=i$NHG$,=q$+$l$?(B. 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:FEY@0Hw(B |
| |
@item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17 |
| |
@end itemize |
| |
|
| |
@node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_rk.runge_kutta_4_linear} |
| |
@findex tk_rk.runge_kutta_4_linear |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step}) |
| |
:: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...]. |
| |
@var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B. |
| |
@item P, X, Y, Step |
| |
@var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B. |
| |
@var{X} $BFHN)JQ?tL>(B. |
| |
@var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B. |
| |
@var{Step} $B9o$_I}(B. |
| |
@item X0, Y0, Terminal |
| |
@var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B. |
| |
@var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B. |
| |
@var{Terminal} @var{X} $B$N=*CeE@(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B. |
| |
@end itemize |
| |
|
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@example |
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[1355] import("taka_runge_kutta.rr"); |
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[1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1); |
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[1591] taka_plot_auto(A); |
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$B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B. |
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taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B. |
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@end example |
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@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 |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B. |
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@item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17 |
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@end itemize |
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@node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{fj_simp.simplify} |
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@findex fj_simp.simplify |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item fj_simp.simplify(@var{arg1}) |
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:: arg1 $B$r4JC12=$9$k(B. |
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@end table |
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@table @var |
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@item return |
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$BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote |
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@item arg1 |
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$BB?9`<0(B $B$^$?$O(B $BM-M}<0(B |
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@end table |
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@itemize @bullet |
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@item |
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$B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B. |
| @item |
@item |
| $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B. |
$B$3$N4X?t$O(B |
| $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B. |
Joel S. Cohen, Computer Algebra and Symbolic Computation, |
| $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B. |
http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm |
| @item |
$B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B |
| dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B. |
B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976) |
| $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex |
$B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B. |
| $B$H=q$/O@J8$d652J=q$b$"$k(B. |
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| @item |
@item |
| $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B. |
$BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B |
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$BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B) |
| @end itemize |
@end itemize |
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| @example |
@example |
| [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>; |
load("fj_simplify.rr"); |
| (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>> |
[1434] simplify((x^(1/2))^3); |
| [1222] dp_order(F | order=[[1,1,1]]); |
((x)^(3/2)) |
| [ 1 1 1 ] |
[1435] simplify((2^(1/2))^2); |
| [ R R R ] |
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| 2 |
2 |
| [1223] dp_order(F | v=[x,y,z], order=[[x,1]]); |
[1436] simplify((2+2^(1/2))^3); |
| [ 1 0 0 ] |
14*((2)^(1/2))+20 |
| [ R R R ] |
[1437] simplify(exp(x)*exp(-x+y)); |
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((@@e)^(y)) |
| @end example |
@end example |
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| @table @t |
@table @t |
| @item $B;2>H(B |
@item $B;2>H(B |
| @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm} |
@ref{quote} |
| @end table |
@end table |
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| @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 |
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| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item |
@item |
| OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B. |
$B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B. |
| builtin/dp-supp.c 1.32 |
poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B. |
| builtin/dp.c 1.49 |
@item |
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Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B. |
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@item |
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$B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B. |
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OpenXM/src/asir-contrib/packages/src/fj_simplify.rr |
| @end itemize |
@end itemize |
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@node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{tk_jack.zonal} |
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@findex tk_jack.zonal |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item tk_jack.zonel(@var{p},@var{n}) |
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:: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B. |
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@end table |
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@table @var |
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@item return |
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$BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B. |
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@item p |
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$B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0. |
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@item n |
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$B<+A3?t(B |
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@end table |
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@itemize @bullet |
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@item |
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$B$3$N4X?t$O(B |
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Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B |
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$B%"%k%4%j%:%`$N<BAu$G$"$k(B. |
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$B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B. |
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@item zonal(P,N) = jack(P,N,2) $B$G$"$k(B. |
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@end itemize |
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|
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@example |
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load("tk_jack.rr"); |
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[1434] tk_jack.zonal([3,2,1],3); |
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(112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1 |
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[1435] tk_jack.zonal([1,1],3); |
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(2*x_2+2*x_3)*x_1+2*x_3*x_2 |
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[1436] tk_jack.jack([1,1],3,2); |
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(2*x_2+2*x_3)*x_1+2*x_3*x_2 |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@end table |
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|
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item |
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$B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B |
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holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B |
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$BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B. |
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@item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B. |
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@end itemize |
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@comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. template |
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@comment **************************************************************** |
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@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$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B. |
| @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B |
@comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B |
| @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
@comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- |
| @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B |
@node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B |
| @subsection @code{xyz_pqr}, @code{syz_stu} |
@subsection @code{xyz_pqr}, @code{syz_stu} |
|
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| $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B. |
$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B. |
| @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B. |
@item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B. |
| @end itemize |
@end itemize |
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| @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B |
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| @comment --- $B$*$^$8$J$$(B --- |
@comment --- $B$*$^$8$J$$(B --- |
| @node Index,,, Top |
@node Index,,, Top |
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