=================================================================== RCS file: /home/cvs/OpenXM/src/asir-doc/exp/exp-ja.texi,v retrieving revision 1.33 retrieving revision 1.34 diff -u -p -r1.33 -r1.34 --- OpenXM/src/asir-doc/exp/exp-ja.texi 2009/05/16 03:13:07 1.33 +++ OpenXM/src/asir-doc/exp/exp-ja.texi 2009/05/16 04:56:32 1.34 @@ -1,4 +1,4 @@ -%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.32 2009/02/23 06:10:42 noro Exp $ +%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.33 2009/05/16 03:13:07 ohara Exp $ \input texinfo @iftex @catcode`@#=6 @@ -52,7 +52,7 @@ Copyright @copyright{} Risa/Asir committers @comment --- $B$*$^$8$J$$=*$j(B --- @comment --- @node $B$O(B GNU info, HTML $BMQ(B --- -@comment --- @node $B$N0z?t$O(B node-name, next, previous, up --- +@comment --- @node $B$N0z?t$O(B node-name, next, previous, up --- @node Top,, (dir), (dir) @comment --- @menu $B$O(B GNU info, HTML $BMQ(B --- @@ -60,31 +60,16 @@ Copyright @copyright{} Risa/Asir committers @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B. @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B. @menu -* Experimental Functions:: +* $B$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top --- -@node $B$r@53N$KJB$Y$k(B. --- -@menu -* $B$J$I$NI=<((B --- - $B$3$N@bL@=q$G$O(B @b{Asir} $B$KF3F~$5$l$?pJs$,=q$+$l$F$$$k(B. -@comment --- section ``$B$r@53N$K(B --- -@node quotetotex quotetotex_env,,, $BJ,$r(B -@tex +$B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B +@iftex +@tex $x_0, x_1, \cdots$ -@end tex -$B$K(B -$B8eH>$NH>J,$r(B -@tex +@end tex +$B$K8eH>$NH>J,$r(B +@tex $\partial_0, \partial_1, \cdots$ -@end tex +@end tex +@end iftex +@ifinfo +x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ... +@end ifinfo $B$KJQ49$9$k(B. $B4q?t8D$N>l9g$O:G8e$NJQ?t$,F1;~2=JQ?t$H$7$F(B h $B$GI=<($5$l$k(B. @item @@ -237,7 +231,7 @@ $\partial_0, \partial_1, \cdots$ $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex @item dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B. -@item +@item conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B. @end itemize @@ -263,24 +257,24 @@ print_tex_form(contrib) @noindent ChangeLog @itemize @bullet -@item - $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B - knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B. +@item + $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B + knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B. Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B $B=PNO7A<0$r2~A1$7$?(B. OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B. -@item - OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8, +@item + OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8, noro_print_default.rr 1.1--1.3 $B$b;2>H(B. -@item +@item $BJQ99$rl9g$K;H$&(B --- -@table @t -@item string_to_tb(@var{s}) -@itemx tb_to_string(@var{tb}) -@itemx write_to_tb(@var{s},@var{tb}) -:: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B -@end table - -@table @var -@item return -$BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string) -@item s -$BJ8;zNs(B -@item tb -$BJ8;zNs2DJQD9G[Ns7?(B -@end table - -@itemize @bullet -@item -@code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B -$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B. -@item -@code{tb_to_string_(@var{tb})} $B$O(B, -$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B. -@item -@code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B -$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B. -@item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B, -@var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B, -$BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B. -$BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B. -$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B -$B%G!<%?9=B$$G$"$k(B. -@end itemize - -@example -[219] T=string_to_tb(""); - -[220] write_to_tb("Hello",T); -0 -[221] write_to_tb(" world!",T); -0 -[222] tb_to_string(T); -Hello world! -@end example - - -@comment --- ChangeLog $B$r=q$/(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 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B. -@item - OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B. -io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16, -engine/str.c 1.5, parse/quote.c 1.9. -@item - rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B - asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32. -@end itemize - - - -@comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B -@comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- -@node dp_gr_main,,, $Bl9g$K;H$&(B --- -@table @t -@item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw}) -:: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. -@end table - -@table @var -@item return -$B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B) -@item f -$B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B) -@item vv -$B%j%9%H(B ($BJQ?t$N%j%9%H(B) -@item oo -$B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B) -@item n -0 $B$+(B1 (homogenization $B$r$9$k$+(B) -@item m -$B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). -@item b -??? -@item sw -Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. -@end table - -@itemize @bullet -@item - @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. - $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B - $B7OE}$@$C$F$$$J$+$C$?(B. - dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. -@comment ~taka/this03/misc-2003/A2/dp -@item $B=g=x(B order $B$Oe$N7+$jJV$7$r0UL#$9$k(B. -@example - order : '[' orderElement @{ ',' orderElement @} ']' - orderElement : weightVec | builtinOrder - weightVec : '[' weightElement @{ ',' weightElement @} ']' - builtiniOrder : '[' orderName ',' setOfVariables ']' - weightElement : NUMBER | setOfVariables ',' NUMBER - setOfVariables: V | range(V,V) - orderName : @@grlex | @@glex | @@lex -@end example -$B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B. -$BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]} -$B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B -$B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B -graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B. -$B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995). -M.Saito, B.Sturmfels, N.Takayama: -Gr\"obner Deformations of Hypergeometric Differential Equations (2000). -@item - $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B - (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B - (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B - (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B - $B$N;0DL$j$N4pACE*J}K!$,$"$k(B. - $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B - $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B - $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B. -@item - order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B. -@item - $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B. - order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B. -@item - $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B. - $B2<$NNc$r;2>H(B. -@end itemize - -@example -[218] load("cyclic"); -[219] V=vars(cyclic(4)); -[c0,c1,c2,c3] -[220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]); -[ 10 1 0 0 ] -[ 0 0 5 0 ] -[ R R R R ] -[(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3, - (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2, - c0+c1+c2+c3] - -[1151] F=map(dp_ptod,katsura(4), vars(katsura(4))); -[(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ] -[1152] dp_gr_main(F | order=[[range(x0,x3),1]]); -[ 1 1 1 1 0 ] -[ R R R R R ] -[(47774098944)*<<0,0,0,0,13>>+ ... ] - -[1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]]; -[[v,[x,y]],[order,[[x,5,y,1]]]] -[1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt); -[ 5 1 ] -[ R R ] -[-y^4+y^2-1,x+y^3-y] -@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 -@noindent -ChangeLog -@itemize @bullet -@item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B. -@item - @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B. -@item - $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B - $B7OE}$@$C$F$$$J$+$C$?(B. - dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. -@item - OpenXM_contrib2/asir2000 $B$N2<$Nl9g$K;H$&(B --- -@table @t -@item asir-install.sh -@itemx asir-port.sh -:: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$Dl9g$K;H$&(B --- -@table @t -@item get_struct_name(@var{s}) -@itemx get_element_names(@var{s}) -@itemx get_element_at(@var{s},@var{key}) -@itemx put_element_at(@var{s},@var{key},@var{obj}) -:: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B -@end table - -@table @var -@item return -$BJ8;zNs(B (get_struct_name), -$BJ8;zNs$N%j%9%H(B (get_element_names), -$B%*%V%8%'%/%H(B (get_element_at), -$B%*%V%8%'%/%H(B (put_element_at) -@item s -$B9=B$BN(B -@item key -$BJ8;zNs(B -@item obj -$B%*%V%8%'%/%H(B -@end table - -@itemize @bullet -@item - @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B. -@item - @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B. -@item - @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B. -@item - @code{put_element_at(s,key,obj)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$r(B obj $B$K@_Dj$9$k(B. -@end itemize - -@example -[219] struct point @{ x, y, color@}; -[220] P = newstruct(point); -@{0,0,0@} -[221] P->x = 10$ P->y=5$ P->color="red"$ -[222] get_element_names(P); -[x,y,color] -[223] put_element_at(P,"color","blue"); -blue -[224] P->color; -bule -@end example - -@table @t -@item $B;2>H(B -@ref{newstruct}, @ref{struct} -@end table - -@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B -@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. -@noindent -ChangeLog -@itemize @bullet -@item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B. - asir-contrib $B$N(B noro_print.rr $B$r8+$h(B. -@item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8. -@end itemize - -@comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B -@node dp_weyl_gr_main,,, $Bl9g$K;H$&(B --- -@table @t -@item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw}) -:: dp_weyl_gr_main $B$N?7$7$$%$%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$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$&(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$$(B. -@end itemize - -@example -[1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>; -(1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>> -[1220] dp_initial_term(F | order=[[1,1,1]]); -[ 1 1 1 ] -[ R R R ] -(1)*<<2,0,0>>+(1)*<<1,1,0>> -[1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]); -[ 1 0 0 ] -[ R R R ] -(1)*<<2,0,0>> -@end example - -@table @t -@item $B;2>H(B -@ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm} -@end table - -@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B -@noindent -ChangeLog -@itemize @bullet -@item - OpenXM_contrib2/asir2000 $B$N2<$N$&(B. - $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>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$9$kl9g3FMWAG$N>+<<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<$NH(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,,, $BH(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 set_print_function,,, $Bo$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$$$k(B. -@end itemize - -@example -[219] def my_output(F) @{ - print("Out: ",0); print(rtostr(F)); - @} -[220] set_print_function("my_output"); -Out: 0 -[221] 1+2; -Out: 3 -@end example - -@table @t -@item $B;2>H(B -@ref{rtostr} -@end table - -@noindent -ChangeLog -@itemize @bullet -@item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B. - $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B. -@end itemize - - -@node small_jacobi,,, $BH(B). -@item - $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B. -@end itemize - -@example -[1286] small_jacobi(2,3); --1 -[1287] small_jacobi(2,7); -1 -@end example - -@table @t -@item $B;2>H(B -http://members.jcom.home.ne.jp/yokolabo/asirlib/ -$B$b8+$F$M(B. -@end table - -@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B -@noindent -ChangeLog -@itemize @bullet -@item $B$3$N4X?t$NM3Mh$OITL@(B. -@end itemize - - -@node flatten_quote,,, $BH(B ). -@code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op} +@code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op} $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B. $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B. $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B. -@item +@item $B8=:_$NA0$,(B, -@code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B. -@code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B. - -@example -[1192] A=["dog","cat","snake"]; -[dog,cat,snake] -[1193] B=[4,4,0]; -[4,4,0] -[1194] assoc(A,B); -[[dog,4],[cat,4],[snake,0]] -@end example - -@table @t -@item $B;2>H(B -@ref{cons}, @ref{append} -@end table - -@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B -@noindent -ChangeLog -@itemize @bullet -@item - $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B. - $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B - builtin/list.c 1.9 - parse/eval.c 1.35, - parse/parse.h 1.31, - parse/quote.c 1.14--1.16. -@end itemize - - -@node sprintf,,, $BH(B -@ref{rtostr},@ref{open_file},@ref{close_file} -@end table - -@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B -@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. -@noindent -ChangeLog -@itemize @bullet -@item - $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B. - $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B. -@item - $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B. - $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B. -@item - $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B. - $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B. -@item - @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B. -@end itemize - - -@node quote_to_funargs,,, $BpJs$rA0$G$"$j(B, $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B $B$GA0(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. +$B$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$$$k(B. I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE, I_PRESELF, I_POSTSELF, I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV, - I_ANS, I_PVAR, I_ASSPVAR, + I_ANS, I_PVAR, I_ASSPVAR, I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST, I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN, I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS, @@ -1417,174 +508,21 @@ quote(a+1) @noindent ChangeLog @itemize @bullet -@item +@item $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B $B$NH(B). @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] } $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B. @end itemize -@node set_secure_flag,,, $Bl9g$K;H$&(B --- -@table @t -@item set_secure_flag(@var{fname},@var{m}) -@itemx set_secure_mode(@var{m}) -:: $B4X?t$Nl9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B -$B4X?t$7$+H(B -@ref{timer} -@end table - -@noindent -ChangeLog -@itemize @bullet -@item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B -web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B. -sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B. -$B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B. -@code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B -$B4X?t$7$+H$N$3$H(B. -@end itemize - - -@example -if (1) @{ - module abc; - static A; - A=1; - endmodule; -@} else @{ @}; - -end$ -$B$r(B t.rr $B$H$9$k$H$-(B, - -[6] load("./t.rr"); -1 -internal error (SEGV) -$B$H$J$k(B. - -t.rr $B$r(B -if (1) @{ - module abc; - static A; - localf initA; - localf foo; - def initA() @{ - A=1; - @} - initA(); - def foo() @{ - return A; - @} - endmodule; -@} else @{ @}; - -end$ -$B$H$9$k$H@5$7$/=i4|2=$5$l$k(B. -@end example - -@comment --- ChangeLog -@noindent -ChangeLog -@itemize @bullet -@item oxasir-win.rr $B$Ne(B. 2005.07.25. -@item oxasir-win.rr $B$Nl9g$K;H$&(B --- @table @t @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}]) -:: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B. +:: @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$$$H(B 0 $B$rLa$9(B. @end table @table @var @@ -1655,10 +593,10 @@ quote$B7?(B @end table @itemize @bullet -@item @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B. +@item @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 +@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 @@ -1680,8 +618,8 @@ qt_normalize(A,2); @table @t @item $B;2>H(B -@ref{nqt_match_rewrite}, -@ref{qt_rewrite} +@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 @@ -1693,7 +631,7 @@ ChangeLog @end itemize -@node nqt_match_rewrite,,, $Br7o(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%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 @@ -2213,145 +1151,850 @@ ChangeLog $B$3$N%f!<%68@8l$K$h$k3+H/$,(B 2005$BG/$N=U$^$G9T$o$l(B, $B$=$N$"$HAH$_9~$_4X?t$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). + 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,,, $Bl9g$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 +@item string_to_tb(@var{s}) +@itemx tb_to_string(@var{tb}) +@itemx write_to_tb(@var{s},@var{tb}) +:: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B @end table +@table @var +@item return +$BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string) +@item s +$BJ8;zNs(B +@item tb +$BJ8;zNs2DJQD9G[Ns7?(B +@end table @itemize @bullet -@item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B. -@item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main winodw $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B. -@item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B. +@item +@code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B +$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B. +@item +@code{tb_to_string_(@var{tb})} $B$O(B, +$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B. +@item +@code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B +$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B. +@item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B, +@var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B, +$BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B. +$BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B. +$BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B +$B%G!<%?9=B$$G$"$k(B. @end itemize @example -// cl test.c user32.lib +[219] T=string_to_tb(""); -#include -#include -#include -#include +[220] write_to_tb("Hello",T); +0 +[221] write_to_tb(" world!",T); +0 +[222] tb_to_string(T); +Hello world! +@end example -int main() -@{ - HWND hnd; - FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r"); - fscanf(fp,"%d",&hnd); - fclose(fp); - while (1) @{ - int c; - c = getchar(); - if ( c == '#' ) break; - PostMessage(hnd,WM_CHAR,c,1); - @} - return 0; -@} +@comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@noindent +ChangeLog +@itemize @bullet +@item + $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B. +@item + OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B. +io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16, +engine/str.c 1.5, parse/quote.c 1.9. +@item + rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B + asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32. +@end itemize + + +@node set_print_function,,, $BJ8;zNs=hM}(B +@subsection @code{set_print_function} +@findex set_print_function + +@comment --- $B4X?t$N4JC1$J@bL@(B --- +@table @t +@item set_print_function([@var{fname}]) +:: $B2hLLI=<(MQ$N4X?t$rEPO?(B +@end table + +@table @var +@item return +$B@0?t(B +@item fname +$BJ8;zNs(B +@end table + +@itemize @bullet +@item +@code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B. +@code $B0z?t$,$J$$>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{xyz_abc} +@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$$$FF@$k$3$H(B. +@end itemize + +@example +[0] printf("%a: rat = %a\n",10,x^2-1)$ +10: rat = x^2-1 +[1] S=sprintf("%a: rat = %a",20,x^2-1)$ +[2] S; +20: rat = x^2-1 +[3] Fd=open_file("hoge.txt","w"); +0 +[4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$ +[5] close_file(Fd)$ +[6] quit; + +$ cat hoge.txt +Poly=x^3-3*x^2+3*x-1 +@end example + +@table @t +@item $B;2>H(B +@ref{rtostr},@ref{open_file},@ref{close_file} +@end table + @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. @noindent ChangeLog @itemize @bullet -@item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B. -@item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11 -@item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6 +@item + $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B. + $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B. +@item + $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B. + $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B. +@item + $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B. + $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B. +@item + @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B. @end itemize -@comment **************************************************************** -@node noro_matrix.rr,,, $Bl9g$K;H$&(B --- @table @t -@item linalg.unit_mat(@var{arg1}) -@item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3}) -@item linalg.minipoly_mat(@var{arg1}) -@item linalg.compute_kernel(@var{arg1}) -@item linalg.compute_image(@var{arg1}) -@item linalg.jordan_canonical_form(@var{arg1}) +@item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw}) +:: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. @end table +@table @var +@item return +$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$+(B) +@item m +$B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). +@item b +??? +@item sw +Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. +@end table @itemize @bullet -@item $B4JC1$J2r@b$*$h$SH(B. +@item + @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. + $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B + $B7OE}$@$C$F$$$J$+$C$?(B. + dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. +@comment ~taka/this03/misc-2003/A2/dp +@item $B=g=x(B order $B$Oe$N7+$jJV$7$r0UL#$9$k(B. +@example + order : '[' orderElement @{ ',' orderElement @} ']' + orderElement : weightVec | builtinOrder + weightVec : '[' weightElement @{ ',' weightElement @} ']' + builtiniOrder : '[' orderName ',' setOfVariables ']' + weightElement : NUMBER | setOfVariables ',' NUMBER + setOfVariables: V | range(V,V) + orderName : @@grlex | @@glex | @@lex +@end example +$B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B. +$BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]} +$B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B +$B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B +graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B. +$B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995). +M.Saito, B.Sturmfels, N.Takayama: +Gr\"obner Deformations of Hypergeometric Differential Equations (2000). +@item + $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B + (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B + (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B + (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B + $B$N;0DL$j$N4pACE*J}K!$,$"$k(B. + $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B + $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B + $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B. +@item + order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B. +@item + $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B. + order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B. +@item + $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B. + $B2<$NNc$r;2>H(B. @end itemize @example -load("noro_matrix.rr"); -A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]); -B=linalg.jordan_canonical_form(A); +[218] load("cyclic"); +[219] V=vars(cyclic(4)); +[c0,c1,c2,c3] +[220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]); +[ 10 1 0 0 ] +[ 0 0 5 0 ] +[ R R R R ] +[(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3, + (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2, + c0+c1+c2+c3] + +[1151] F=map(dp_ptod,katsura(4), vars(katsura(4))); +[(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ] +[1152] dp_gr_main(F | order=[[range(x0,x3),1]]); +[ 1 1 1 1 0 ] +[ R R R R R ] +[(47774098944)*<<0,0,0,0,13>>+ ... ] + +[1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]]; +[[v,[x,y]],[order,[[x,5,y,1]]]] +[1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt); +[ 5 1 ] +[ R R ] +[-y^4+y^2-1,x+y^3-y] @end example +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@noindent +ChangeLog +@itemize @bullet +@item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B. +@item + @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B. +@item + $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B + $B7OE}$@$C$F$$$J$+$C$?(B. + dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B. +@item + OpenXM_contrib2/asir2000 $B$N2<$Nl9g$K;H$&(B --- @table @t +@item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw}) +:: dp_weyl_gr_main $B$N?7$7$$%$%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$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{invmat} +@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$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 +@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$&(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$$(B. +@end itemize + +@example +[1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>; +(1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>> +[1220] dp_initial_term(F | order=[[1,1,1]]); +[ 1 1 1 ] +[ R R R ] +(1)*<<2,0,0>>+(1)*<<1,1,0>> +[1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]); +[ 1 0 0 ] +[ R R R ] +(1)*<<2,0,0>> +@end example + +@table @t +@item $B;2>H(B +@ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm} +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@noindent +ChangeLog +@itemize @bullet +@item + OpenXM_contrib2/asir2000 $B$N2<$N$&(B. + $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>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$9$kl9g3FMWAG$N>+<<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{} +@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<$Ne$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$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B +$B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$rl9g(B, @var{gen} $B$O(B, $BB?9`<0(B +$B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B. +@item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B +$B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord} +$B$G9T$&(B. +@item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B. +@end itemize + +@example +[0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]]; +[[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]] +[1] nd_gr(Gen,[x,y,z],0,[0,0]); +[[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3, +-x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2 ++(-y^3+z*y^2-z*y)*x+z^4*y^2]] +@end example + +@table @t +@item $B;2>H(B +@ref{nd_gr}, @ref{nd_gr_trace} +@end table + +@node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B +@subsection @code{nd_gr}, @code{nd_gr_trace} (option) +@findex nd_gr (option) +@findex nd_gr_trace (option) +@findex nd_weyl_gr (option) +@findex nd_weyl_gr_trace (option) + +@comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B --- + +@table @t +@item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}]) +@itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}]) +@itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}]) +@itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}]) +:: $B%0%l%V%J!<4pDl7W;;$K4X$9$ku$G$OpJs$r=PNO$9$k(B. +@item gentsyz +@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B. +@item nora +@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B. +@end table + +@item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B, +@var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B +$Bl9g(B 1, $B$=$&$G$J$$>l9g(B 0. +@item Trace +$BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B +@item IntRed +$BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B +@item Ind +$B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B +@item InputRed +$B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B +(@var{gensyz} $B$,;XDj$5$l$?>l9g(B) +@item SpairTrace +$B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B +(syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B) +@end table +@item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B +$B4X?t$N9`$G@bL@$9$kM=Dj(B. +@end itemize + +@example +[0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...] +[1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$ +[2] D[0]; +[c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...] +[3] D[2]; +[[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...] +[4] D[6]; +[[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...] +@end example + +@table @t +@item $B;2>H(B +@ref{nd_gr}, @ref{nd_gr_trace} +@end table + + +@node $B%7%9%F%`(B,,, $Bl9g$K;H$&(B --- +@table @t +@item asir-install.sh +@itemx asir-port.sh +:: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$Dl9g$K;H$&(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$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B. +@item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main winodw $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B. +@item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B. +@end itemize + +@example +// cl test.c user32.lib + +#include +#include +#include +#include + +int main() +@{ + + HWND hnd; + FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r"); + fscanf(fp,"%d",&hnd); + fclose(fp); + while (1) @{ + int c; + c = getchar(); + if ( c == '#' ) break; + PostMessage(hnd,WM_CHAR,c,1); + @} + return 0; +@} +@end example + +@table @t +@item $B;2>H(B +@ref{xyz_abc} +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. @noindent ChangeLog @itemize @bullet -@item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B. -@item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr +@item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B. +@item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11 +@item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6 @end itemize -@node chdir,,, $Bl9g$K;H$&(B --- +@table @t +@item get_struct_name(@var{s}) +@itemx get_element_names(@var{s}) +@itemx get_element_at(@var{s},@var{key}) +@itemx put_element_at(@var{s},@var{key},@var{obj}) +:: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B +@end table + +@table @var +@item return +$BJ8;zNs(B (get_struct_name), +$BJ8;zNs$N%j%9%H(B (get_element_names), +$B%*%V%8%'%/%H(B (get_element_at), +$B%*%V%8%'%/%H(B (put_element_at) +@item s +$B9=B$BN(B +@item key +$BJ8;zNs(B +@item obj +$B%*%V%8%'%/%H(B +@end table + +@itemize @bullet +@item + @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B. +@item + @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B. +@item + @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B. +@item + @code{put_element_at(s,key,obj)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$r(B obj $B$K@_Dj$9$k(B. +@end itemize + +@example +[219] struct point @{ x, y, color@}; +[220] P = newstruct(point); +@{0,0,0@} +[221] P->x = 10$ P->y=5$ P->color="red"$ +[222] get_element_names(P); +[x,y,color] +[223] put_element_at(P,"color","blue"); +blue +[224] P->color; +bule +@end example + +@table @t +@item $B;2>H(B +@ref{newstruct}, @ref{struct} +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. +@noindent +ChangeLog +@itemize @bullet +@item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B. + asir-contrib $B$N(B noro_print.rr $B$r8+$h(B. +@item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8. +@end itemize + + +@comment 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$$$,(B, @code{mapat} +$B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$rH(B +@ref{map} +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. +@noindent +ChangeLog +@itemize @bullet +@item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B. + $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B. +@end itemize + +@comment list +@node list,,, $B8@8l(B +@subsection @code{list} +@findex list + +@table @t +@item list([@var{arg0}, @var{arg1}, ...]) +:: list $B$r@8@.$9$k(B. +@end table + +@table @var +@item return +$B%j%9%H(B +@item arg0, arg1, arg2, ... +$B%*%V%8%'%/%H(B +@end table + +@itemize @bullet +@item +@var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B. +@end itemize + +@example +[219] list(1,2,3); +[1,2,3] +[220] list(1,2,[3,4]); +[1,2,[3,4]] +@end example + +@table @t +@item $B;2>H(B +@ref{cons} +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. +@noindent +ChangeLog +@itemize @bullet +@item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B. + $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B. +@end itemize + + +@node assoc,,, $B8@8l(B +@subsection @code{assoc} +@findex assoc + +@comment --- $B4X?t$N4JC1$J@bL@(B --- +@table @t +@item assoc(@var{a},@var{b}) +:: $BO"A[%j%9%H$r$D$/$k(B +@end table + +@table @var +@item return +List +@item a +List +@item b +List +@end table + +@itemize @bullet +@item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B +[[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...] +$B$J$k?7$7$$%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$$$k(B. +@code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B. + +@example +[1192] A=["dog","cat","snake"]; +[dog,cat,snake] +[1193] B=[4,4,0]; +[4,4,0] +[1194] assoc(A,B); +[[dog,4],[cat,4],[snake,0]] +@end example + +@table @t +@item $B;2>H(B +@ref{cons}, @ref{append} +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@noindent +ChangeLog +@itemize @bullet +@item + $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B. + $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B + builtin/list.c 1.9 + parse/eval.c 1.35, + parse/parse.h 1.31, + parse/quote.c 1.14--1.16. +@end itemize + + +@node set_secure_flag,,, $B8@8l(B +@subsection @code{set_secure_flag}, @code{set_secure_mode} +@findex set_secure_flag +@findex set_secure_mode + +@comment --- $B4X?t$N4JC1$J@bL@(B --- +@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- +@table @t +@item set_secure_flag(@var{fname},@var{m}) +@itemx set_secure_mode(@var{m}) +:: $B4X?t$Nl9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B +$B4X?t$7$+H(B +@ref{timer} +@end table + +@noindent +ChangeLog +@itemize @bullet +@item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B +web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B. +sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B. +$B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B. +@code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B +$B4X?t$7$+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) +$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 + +@comment --- ChangeLog +@noindent +ChangeLog +@itemize @bullet +@item oxasir-win.rr $B$Ne(B. 2005.07.25. +@item oxasir-win.rr $B$NH(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 +http://members.jcom.home.ne.jp/yokolabo/asirlib/ +$B$b8+$F$M(B. +@end table + +@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B +@noindent +ChangeLog +@itemize @bullet +@item $B$3$N4X?t$NM3Mh$OITL@(B. +@end itemize + + +@node noro_matrix.rr,,, $B?tO@!&Be?t(B +@subsection @code{noro_matrix.rr} +@findex noro_matrix.rr + +@comment --- $B4X?t$N4JC1$J@bL@(B --- +@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- +@table @t +@item linalg.unit_mat(@var{arg1}) +@item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3}) +@item linalg.minipoly_mat(@var{arg1}) +@item linalg.compute_kernel(@var{arg1}) +@item linalg.compute_image(@var{arg1}) +@item linalg.jordan_canonical_form(@var{arg1}) +@end table + + +@itemize @bullet +@item $B4JC1$J2r@b$*$h$SH(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$O3FH(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(B,,, $B(B -@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;;$rl9g(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),,, $Bu$G$OpJs$r=PNO$9$k(B. -@item gentsyz -@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B. -@item nora -@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B. -@end table - -@item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B, -@var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B -$Bl9g(B 1, $B$=$&$G$J$$>l9g(B 0. -@item Trace -$BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B -@item IntRed -$BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B -@item Ind -$B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B -@item InputRed -$B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B -(@var{gensyz} $B$,;XDj$5$l$?>l9g(B) -@item SpairTrace -$B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B -(syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B) -@end table -@item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B -$B4X?t$N9`$G@bL@$9$kM=Dj(B. -@end itemize - -@example -[0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...] -[1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$ -[2] D[0]; -[c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...] -[3] D[2]; -[[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...] -[4] D[6]; -[[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...] -@end example - -@table @t -@item $B;2>H(B -@ref{nd_gr}, @ref{nd_gr_trace} -@end table - @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. @comment **************************************************************** -@comment --- $B"~"~"~"~(B $B0J2$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B +@comment --- $B"~"~"~"~(B $B0J2$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B. -@comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B +@comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B --- @node xyz_pqr,,, $B