[BACK]Return to exp-ja.texi CVS log [TXT][DIR] Up to [local] / OpenXM / src / asir-doc / exp

Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.3 and 1.7

version 1.3, 2004/03/18 05:45:08 version 1.7, 2004/04/16 02:28:40
Line 1 
Line 1 
 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.2 2004/03/17 09:25:02 takayama Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.6 2004/04/16 01:57:51 takayama Exp $
 \input texinfo  \input texinfo
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
Line 38 
Line 38 
 @title $B<B83E*;EMM$N4X?t(B  @title $B<B83E*;EMM$N4X?t(B
 @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B  @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
 @subtitle 1.0 $BHG(B  @subtitle 1.0 $BHG(B
 @subtitle 2004 $BG/(B 3 $B7n(B  @subtitle 2004 $BG/(B 4 $B7n(B
   
 @author  by Risa/Asir comitters  @author  by Risa/Asir comitters
 @page  @page
Line 107  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
Line 107  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 * tb_to_string::  * tb_to_string::
 * write_to_tb::  * write_to_tb::
 * dp_gr_main::  * dp_gr_main::
   * asir-port.sh::
   * asir-install.sh::
   * get_struct_name::
   * get_element_names::
   * get_element_at::
   * put_element_at::
   * dp_initial_term::
   * dp_order::
   * dp_weyl_gr_main::
 @end menu  @end menu
   
 @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
Line 164  symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
Line 173  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    @tex
 $x_0, x_1, \cdots$    $x_0, x_1, \cdots$
 @end tex    @end tex
 $B$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
     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.
 @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.
Line 184  $\partial_0, \partial_1, \cdots$
Line 196  $\partial_0, \partial_1, \cdots$
 @end tex  @end tex
 $B$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
     dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
     $B%G%U%)!<%k%H$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.  conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
 @item  @item
Line 212  print_tex_form(contrib)
Line 229  print_tex_form(contrib)
 @noindent  @noindent
 ChangeLog  ChangeLog
 @itemize @bullet  @itemize @bullet
 @item $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B  @item
 knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.   $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
 Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B   knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
 $B=PNO7A<0$r2~A1$7$?(B.   Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
 OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.   $B=PNO7A<0$r2~A1$7$?(B.
 @item OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,   OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$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.   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
    $BJQ99$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
     dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
   @item
     Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
 @end itemize  @end itemize
   
   
Line 377  Hello world!
Line 401  Hello world!
 @noindent  @noindent
 ChangeLog  ChangeLog
 @itemize @bullet  @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
 @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(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
    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
    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  @end itemize
   
   
Line 414  engine/str.c 1.5, parse/quote.c 1.9.
Line 443  engine/str.c 1.5, parse/quote.c 1.9.
 @item b  @item b
 ???  ???
 @item sw  @item sw
 Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
 @end table  @end table
   
 @itemize @bullet  @itemize @bullet
Line 427  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
Line 456  Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector.
 @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  @verbatim
   order         : '[' orderElement { ',' orderElement } ']'    order         : '[' orderElement { ',' orderElement } ']'
   orderElemnt   :  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)
   ornderName    : @grlex | @glex | @lex    orderName    : @grlex | @glex | @lex
 @end verbatim  @end verbatim
 $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: SST, S, $BEy(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  @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
     $B%*%W%7%g%s$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  @end itemize
   
 @example  @example
Line 465  graded reverse lexicographic order $B$r(B tie-breake
Line 508  graded reverse lexicographic order $B$r(B tie-breake
 [ 1 1 1 1 0 ]  [ 1 1 1 1 0 ]
 [ 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]]]];
   [[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  @end example
   
 @table @t  @table @t
Line 498  parse/arith.c 1.11,
Line 548  parse/arith.c 1.11,
 parse/glob.c 1.44-1.45,  parse/glob.c 1.44-1.45,
 parse/lex.c 1.29,  parse/lex.c 1.29,
 parse/parse.h 1.23--1.26  parse/parse.h 1.23--1.26
   @item
    Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(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 syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
Line 545  ChangeLog
Line 598  ChangeLog
   Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.    Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
 @end itemize  @end itemize
   
   
   @node get_struct_name,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
   @findex get_struct_name
   @findex get_element_names
   @findex get_element_at
   @findex put_element_at
   
   @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 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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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,,, $B<B83E*;EMM$N4X?t(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
   
 @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 --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
   @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{xyz_pqr}, @code{syz_stu}
   @findex xyz_pqr
   @findex xyz_stu
   
 @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 ---  @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
 @table @t  @table @t
Line 598  ChangeLog
Line 944  ChangeLog
  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
 @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.  @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
 @end itemize  @end itemize
   
   
   
 @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
   
Legend:
Removed from v.1.3  
changed lines
  Added in v.1.7
FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>