===================================================================
RCS file: /home/cvs/OpenXM/src/asir-doc/exp/exp-ja.texi,v
retrieving revision 1.48
retrieving revision 1.52
diff -u -p -r1.48 -r1.52
--- OpenXM/src/asir-doc/exp/exp-ja.texi	2014/05/29 13:18:18	1.48
+++ OpenXM/src/asir-doc/exp/exp-ja.texi	2016/05/18 11:52:56	1.52
@@ -1,4 +1,4 @@
-%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.47 2013/02/18 07:18:32 takayama Exp $
+%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.51 2016/05/14 07:55:16 nakayama Exp $
 \input texinfo
 @iftex
 @catcode`@#=6
@@ -38,7 +38,7 @@
 @title $B<B83E*;EMM$N4X?t(B
 @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
 @subtitle 1.0 $BHG(B
-@subtitle 2013 $BG/(B 2 $B7n(B
+@subtitle 2014 $BG/(B 12 $B7n(B
 
 @author  by Risa/Asir committers
 @page
@@ -2729,7 +2729,8 @@ ChangeLog
 @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$$$F$N@)8B2C72$rJV$9!#(B
+:: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, 
+$B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
 @end table
 
 @comment --- $B0z?t$N4JC1$J@bL@(B ---
@@ -2746,28 +2747,29 @@ ChangeLog
 
 @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$$!#(B
-($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
+@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(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
+$B@5$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!"%$%G%"%k(B 
+$B0J2<$O(B, $B%$%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
+$B$H$*$$$?;~(B, D $B2C72(B 
+@tex $M = D / I$ @end tex
+$B$N(B 
+@tex $x$ @end tex
 @end iftex
 @ifinfo
-I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
+I = D . @{ x dx -1, y dy - 1 @} $B$H$*$$$?;~(B, 
+D $B2C72(B M = D / I $B$N(B x
 @end ifinfo
-$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B
+$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
 @example
 [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
 -- generic_bfct_and_gr :0.001sec(0.001629sec)
@@ -2777,8 +2779,22 @@ B_@{S0@} length : 2
 -- fctr(BF) + base :0.000999sec(0.0005109sec)
 [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
 @end example
+$BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B, 
+$B@)8B2C72$N4pDl(B 
+@iftex
+@tex $\partial_x^1, \partial_x^0$ @end tex 
+$B$r0UL#$7(B, 
+$BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B 
+@tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex 
+@end iftex
+@ifinfo
+dx^1, dx^0 
+$B$r0UL#$7(B, 
+$BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B 
+(y dy - 1, 0), (0, ydy-1), (-1,0) 
+@end ifinfo
+$B$G@8@.$5$l$k$3$H$,$o$+$k(B. 
 
-
 @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
@@ -2787,7 +2803,7 @@ B_@{S0@} length : 2
 @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t
 @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
-:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B
+:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9(B. 
 @end table
 
 @comment --- $B0z?t$N4JC1$J@bL@(B ---
@@ -2804,23 +2820,19 @@ B_@{S0@} length : 2
 
 @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$$!#(B
-($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
+@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(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
+$B@5$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!"%$%G%"%k(B
+$B0J2<$O(B, $B%$%G%"%k(B
 @iftex
-@tex 
-$I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ 
-@end tex
+@tex $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ @end tex
 $B$N(B
-@tex
-$x$
-@end tex
+@tex $x$ @end tex
 @end iftex
 @ifinfo
 I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
@@ -2845,7 +2857,7 @@ B_@{S0@} length : 2
 @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$$$F$N@QJ,2C72$rJV$9!#(B
+:: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B. 
 @end table
 
 @comment --- $B0z?t$N4JC1$J@bL@(B ---
@@ -2865,28 +2877,27 @@ B_@{S0@} length : 2
 @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$$!#(B
-($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
+@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(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
+$B@5$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!"%$%G%"%k(B
+$B0J2<$O(B, $B%$%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
+@tex $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\}$ @end tex
+$B$H$*$$$?;~(B, D $B2C72(B 
+@tex $M = D / I$ @end tex 
+$B$N(B 
+@tex $t$ @end tex
 @end iftex
 @ifinfo
-I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
+I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} 
+$B$H$*$$$?;~(B, D $B2C72(B M = D / I $B$N(B t
 @end ifinfo
-$B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
+$B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
 @example
 [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
 [dt,dx],[1,0]);
@@ -2897,6 +2908,25 @@ B_@{S0@} length : 2
 -- fctr(BF) + base :0.001sec(0.0006731sec)
 [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
 @end example
+$BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B, 
+$B@QJ,2C72$N4pDl(B 
+@iftex
+@tex $t^1, t^0$ @end tex 
+@end iftex
+@ifinfo
+t^1, t^0
+@end ifinfo
+$B$r0UL#$7(B, 
+$BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B 
+@iftex
+@tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x), 
+(0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex 
+@end iftex
+@ifinfo
+(4 x dx^2 + 6 dx, 0), (0, -4 x dx^2 - 6 dx), 
+(0, -2 x dx), (0, 2 dx)
+@end ifinfo
+$B$G@8@.$5$l$k$3$H$,$o$+$k(B. 
 
 @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
 @subsection @code{nk_restriction.integration_ideal}
@@ -2906,7 +2936,7 @@ B_@{S0@} length : 2
 @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$$$F$N@QJ,%$%G%"%k$rJV$9!#(B
+:: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9(B. 
 @end table
 
 @comment --- $B0z?t$N4JC1$J@bL@(B ---
@@ -2926,28 +2956,26 @@ B_@{S0@} length : 2
 @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$$!#(B
-($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
+@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(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
+$B@5$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!"%$%G%"%k(B
+$B0J2<$O(B, $B%$%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
+@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$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
+$B$K$D$$$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]);
@@ -2958,7 +2986,6 @@ 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
@@ -3317,7 +3344,152 @@ B_{S0} length : 1
 [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
 @end example
 
+@subsection @code{nk_restriction.module_restriction}
+@comment --- $B:w0zMQ%-!<%o!<%I(B
+@findex nk_restriction.module_restriction
 
+@comment --- $B4X?t$N4JC1$J@bL@(B ---
+@table @t
+@item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W})
+:: D $B2C72(B D^r/@var{M} (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B. 
+@end table
+
+@comment --- $B0z?t$N4JC1$J@bL@(B ---
+@table @var
+@item M
+D $B<+M32C72(B D^r $B$NItJ,2C72(B
+@item VL
+$BJQ?t$N%j%9%H(B
+@item DVL
+$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+@item W
+$B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+@end table
+
+@itemize @bullet
+@item
+@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+@comment{($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)}
+$B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B, 
+@var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B. 
+@item
+$B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B. 
+$BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
+x $B$K$D$$$F@)8B$r9T$&(B. 
+@end itemize
+
+$B0J2<$O(B, D $B<+M32C72(B 
+@iftex
+@tex $D^2$ @end tex
+$B$NItJ,2C72(B 
+@tex 
+$M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$ 
+@end tex
+$B$r$H$j(B, D $B2C72(B 
+@tex $D^2 / M$ @end tex
+$B$N(B 
+@tex $x$ @end tex
+@end iftex
+@ifinfo
+D^2 $B$NItJ,2C72(B M = D . @{ (dx, dy), (dy, dx), (x, y) @} 
+$B$r$H$j(B, D $B2C72(B D^2 / M $B$N(B x
+@end ifinfo
+$B$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B. 
+@example
+[2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]);
+....
+bfunction : 
+s
+[[1,1],[s,1]]
+integer roots :
+[0,0]
+Generators: 
+[e1,e2]
+Relations: 
+[-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1]
+[[0,-1],[-dy^2,0],[y*dy-1,0]]
+@end example
+$B@)8B2C72$O(B 
+@iftex
+@tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex 
+@end iftex
+@ifinfo
+(0, -1), (-dy^2, 0), (y, dy-1, 0)
+@end ifinfo
+$B$G@8@.$5$l$k$3$H$,$o$+$k(B. 
+
+@subsection @code{nk_restriction.module_integration}
+@comment --- $B:w0zMQ%-!<%o!<%I(B
+@findex nk_restriction.module_integration
+
+@comment --- $B4X?t$N4JC1$J@bL@(B ---
+@table @t
+@item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W})
+:: D $B2C72(B D^r/M (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B. 
+@end table
+
+@comment --- $B0z?t$N4JC1$J@bL@(B ---
+@table @var
+@item M
+D $B<+M32C72(B D^r $B$NItJ,2C72(B 
+@item VL
+$BJQ?t$N%j%9%H(B
+@item DVL
+$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+@item W
+$B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+@end table
+
+@itemize @bullet
+@item
+@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
+@comment{($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)}
+$B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B, 
+@var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B. 
+@item
+$B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B. 
+$BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
+x $B$K$D$$$F@QJ,$r9T$&(B. 
+@end itemize
+
+$B0J2<$O(B, D $B<+M32C72(B 
+@iftex
+@tex $D^2$ @end tex
+$B$NItJ,2C72(B 
+@tex $M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ @end tex
+$B$r$H$j(B, D $B2C72(B 
+@tex $D^2/M$ @end tex 
+$B$N(B
+@tex $x$ @end tex
+@end iftex
+@ifinfo
+D^2 $B$NItJ,2C72(B M = D . @{ (x, y), (y, x), (dx, dy) @} $B$r$H$j(B, 
+D $B2C72(B D^2 / M $B$N(B x 
+@end ifinfo
+$B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B. 
+@example
+[2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]);
+...
+bfunction : 
+s
+[[1,1],[s,1]]
+integer roots :
+[0,0]
+Generators: 
+[e1,e2]
+Relations: 
+[-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1]
+[[0,-1],[y*dy+2,0],[-y^2,0]]
+@end example
+$B@QJ,2C72$O(B 
+@iftex
+@tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex 
+@end iftex
+@ifinfo
+(0, -1), (y dy + 2, 0), (-y^2, 0)
+@end ifinfo
+$B$G@8@.$5$l$k$3$H$,$o$+$k(B. 
+
 @noindent
 ChangeLog
 @itemize @bullet
@@ -3326,6 +3498,7 @@ ChangeLog
 @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.
+@item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(B. 
 @end itemize
 
 @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
@@ -3680,7 +3853,452 @@ holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7
 @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
 @end itemize
 
-@comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.  template
+@node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{ot_hgm_ahg.cbase}
+@findex ot_hgm_ahg.cbase
+
+@table @t
+@item cbase(@var{A})
+::  @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B. 
+@end table
+
+@table @var
+@item return
+Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B
+@item A
+$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+@end table
+
+@itemize @bullet
+@item A-$BD64v2?%$%G%"%k$N(B Q(x)[dx] $B$K$*$1$kI8=`4pDl$O(B Pfaffian $B$N4pDl$H$J$k$,(B, $B5U$O$+$J$i$:$7$b??$G$O$J$$(B.  $B8D?t$O$b$A$m$sF1$8$G$"$k(B. 
+@item
+$B%"%k%4%j%:%`$O(B
+T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103 
+$B$K$h$k(B.
+$B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B.
+@end itemize
+
+@example
+[2190] import("ot_hgm_ahg.rr");
+1
+[2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]);
+We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2]
+
+[dx3,dx4,1]
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{get_mat2}
+@end table
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B 2012  $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
+@item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog  ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
+@end itemize
+
+@node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{ot_hgm_ahg.get_mat2}
+@findex ot_hgm_ahg.get_mat2
+@comment get_mat2
+@table @t
+@item get_mat2(@var{A},@var{W},@var{Std},@var{Mset})
+::  @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B.
+@end table
+
+@table @var
+@item return
+$B%j%9%H(B
+@item A
+$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+@item W
+$B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector.
+$BB?J,$J$s$G$b$$$$$O$:(B.
+@item Std
+$B%j%9%H(B. Pfaffian $B$N4pDl(B.  cbase(A) $B$N=PNO$rMQ$$$k(B.
+@item Mset
+Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
+@end table
+
+@itemize @bullet
+@item $B=PNO$r(B @var{P} $B$KBeF~$9$k$H(B,
+@var{P}[0]*@var{P}[2] - @var{P}[1]*@var{Std} $B$,(B modulo  H_A $B$G(B 0 $B$H$J$k(B.
+@var{P}[0] $B$H(B @var{P}[2] $B$r7k9g$7$?9TNs$,(B, sylvester $B9TNs(B ($BO@J8$N5-9f$G$N(B F').
+@var{P}[2], @var{Std} $B$,(B index $B%b%N%_%"%k$G$"$k(B. 
+$BO@J8$G$N5-9f$G$O(B @var{P}[2] $B$O(B M_t,  @var{Std} $B$O(B S.
+@item
+$B%"%k%4%j%:%`$O(B
+K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
+$B$K$h$k(B.  $BO@J8$N9TNs(B F'.
+@end itemize
+
+@example
+[2190] import("ot_hgm_ahg.rr");
+1
+[2191] A=[[1,1,1,1],[0,1,2,3]]$
+Std=ot_hgm_ahg.cbase(A)$
+W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$
+Mset=[1,dx1,dx2,dx3,dx4]$
+[2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset);
+
+$B>JN,(B
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{cbase}
+@end table
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B 2012  $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
+@item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog  ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
+@item
+$B%=!<%9(B ot_hgm_ahg.rr $B$N(B test3(), test3b(), test4(), test5(), test6(), test6c() $BEy$KMxMQNc$,$"$k(B.
+@item
+test3b() $B$G(B @var{Mset} $B$r0l<!<0A4It$K$7$?$b$N$,(B, $BO@J8$NNc(B.
+@end itemize
+
+@comment -------------------
+@comment  hgm_ahg_contiguity
+@comment -------------------
+@node ot_hgm_ahg.hgm_ahg_contiguity,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{ot_hgm_ahg.hgm_ahg_contiguity}
+@findex ot_hgm_ahg.hgm_ahg_contiguity
+
+@table @t
+@item hgm_ahg_contiguity(@var{A},@var{StdMon},@var{Line},@var{X0},@var{InitVal},@var{Start},@var{End})
+::  @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(Bcontiguity relation
+$B$r(B Sylvester matrix $B$rMQ$$$F7W;;$7(B, $B$=$l$rMQ$$$FD64v2?4X?t$NCM$r5a$a$k(B.
+@end table
+
+@table @var
+@item return
+$B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$NCM(B F(End;X0) ??
+@item A
+$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B.
+@item StdMon
+$B%j%9%H(B.  Pfaffian $B$N4pDl$rM?$($kHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
+@item Line
+$B%j%9%H(B  [ContiDir,Beta,Z].
+@item X0
+$B%j%9%H(B. x $BJQ?t$NCM(B. 
+@item InitVal
+$B%j%9%H(B. $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$N=i4|CM(B F(Start;X0)
+@item Start
+$B%j%9%H(B.   Z $B%Q%i%a!<%?$N=i4|CM(B??
+@item End
+$B%j%9%H(B.   Z $B%Q%i%a!<%?$N=*C<CM(B??
+@end table
+
+@itemize @bullet
+@item Todo, $B$3$N4X?t$N%$%s%?%U%'!<%9$OJQ99$5$l$kM=Dj(B.
+@item  X0 $B$OM-M}?t$N%j%9%H(B.
+@item ContiDir $B$O(B End-Start $B$HF1$8J}8~(B.
+@item Beta.  A$BD64v2?4X?t$N(B B $B%Q%i%a!<%?$N=i4|CM(B ??
+@item Z.  ContiDir $B$G$N0l<!85(B contiguity $B$rI=8=$9$k$?$a$NITDj85$NL>A0(B.
+@item $B%=!<%9Cf$NMxMQNc(B. test_fd_conti(), test_c111_conti() 
+@item
+$B%"%k%4%j%:%`$*$h$SMxE@$O(B
+K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
+$B;2>H(B.
+@end itemize
+
+@example
+[2190] import("ot_hgm_ahg.rr");
+1
+[2191] ot_hgm_ahg.test_fd_conti();
+(Todo, $B0z?t$,$I$&$J$k$+$NNc$r2C$($k(B.)
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{get_mat2}
+@ref{hgm_ahg_expected_value_contiguity}
+@ref{hgm_ahg}
+@end table
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B 2014-07-11 $B$K:G=i$NHG$,(B 1.10$BHG(B ot_hgm_ahg.rr $B$K(B commit $B$5$l$?(B. 
+@item $B%$%s%?%U%'!<%9$,99?7$5$l$?HG$O(B, 1.??$BHG(B.
+@end itemize
+
+@comment -------------------
+@comment  tk_hgpoly.optip
+@comment -------------------
+@node tk_hgpoly.optip,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{tk_hgpoly.optip}
+@findex tk_hgpoly.optip
+
+@table @t
+@item hgpoly.optip(@var{A},@var{B},@var{W})
+::  $B@0?t7W2hLdBj$r%0%l%V%J!<4pDl$rMQ$$$F2r$/(B.
+@end table
+
+@table @var
+@item return
+$B%j%9%H(B.  
+@item A
+$BHsIi@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+@item B
+$BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
+@item W 
+$BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
+@end table
+
+@itemize @bullet
+@item  @var{A} U = @var{B} $B$rK~$?$9HsIi$N@0?t%Y%/%H%k(B U $B$NCf$G(B,
+$BFb@Q(B @var{W} U $B$r:G>.2=$9$k(B U $B$rLa$9(B.
+@end itemize
+
+@example
+[0] import("tk_hgpoly.rr");
+[2191] tk_hgpoly.optip([[1,1,1,1],[0,1,2,3]],[20,40],[1,1,1,0]);
+[6,1,0,13]
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{feasible}
+@end table
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B   2014-12-12 $B$K(B commit $B$5$l$?(B.
+$B85HG$O(B h-mle/A-hg/Prog
+@end itemize
+
+@comment -------------------
+@comment  tk_hgpoly.hgpoly
+@comment -------------------
+@node tk_hgpoly.hgpoly,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{tk_hgpoly.hgpoly}
+@findex tk_hgpoly.hgpoly
+@table @t
+@item hgpoly.hgpoly(@var{A},@var{B})
+::  @var{A}, @var{B} $B$GDj5A$5$l$kD64v2?B?9`<0$r7W;;$9$k(B.
+@end table
+
+@table @var
+@item return
+$B%j%9%H(B.  
+@item A
+$BHsIi@0?t(B(todo, $B:FEY3NG'(B)$B$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
+@item B
+$BHsIi@0?t$r@.J,$H$9$k%j%9%H(B.
+@end table
+
+@itemize @bullet
+@item  $BLa$jCM$r(B F $B$H$9$k$H$-(B, F[0] $B$,D64v2?B?9`<0(B. $BJQ?t$O(B x_1, x_2, ...
+F[1] $B$O(B F[0] $B$NJ,;6I=8=B?9`<0(B.
+@end itemize
+
+@example
+[0] import("tk_hgpoly.rr");
+[2191] tk_hgpoly.hgpoly([[1,1,1,1],[0,1,2,3]],[2,2]);
+[x_3*x_1+1/2*x_2^2,(1/2)*<<0,2,0,0>>+(1)*<<1,0,1,0>>]
+@end example
+
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B   2014-12-12 $B$K(B commit $B$5$l$?(B.
+@end itemize
+
+@comment -------------------
+@comment  tk_fd.abc2ahg
+@comment -------------------
+@node tk_fd.abc2ahg,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{tk_fd.abc2ahg}
+@findex tk_fd.abc2ahg
+@table @t
+@item tk_fd.abc2ahg(@var{A},@var{B},@var{C})
+::  F_D(@var{A}, @var{B},@var{C}) $B$r2r$K$b$D(B A-$BD64v2?J}Dx<07O$r5a$a$k(B.
+@end table
+
+@table @var
+@item return
+$B%j%9%H(B. 
+@item A
+$B?t(B
+@item B
+$B?t$N%j%9%H(B
+@item C
+$B?t(B
+@end table
+
+@itemize @bullet
+@item $BLa$jCM%j%9%H$NBh#0@.J,$O(B A-$BD64v2?J}Dx<07O$rDj5A$9$k9TNs(B.
+$BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B.
+@end itemize
+
+@example
+[2191] tk_fd.abc2ahg(-3,[-4,-5],3);
+
+[[[0,0,0,1,1,1],[1,0,0,1,0,0],[0,1,0,0,1,0],[0,0,1,0,0,1]],[11,5,4,5]]
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{abc2marginal}
+@ref{marginal2abc}
+@end table
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B   2014-12-13 $B$K(B tk_fd.rr $B$KDI2C$5$l$?(B.
+@end itemize
+
+@comment -------------------
+@comment  tk_fd.ahvec_abc
+@comment -------------------
+@node tk_fd.ahvec_abc,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{tk_fd.ahvec_abc}
+@findex tk_fd.ahvec_abc
+@table @t
+@item tk_fd.ahvec_abc(@var{A},@var{B},@var{C},@var{Y} | all=1)
+::   abc2marginal(@var{A}, @var{B},@var{C})  $B$r<~JUOB$K$b$D(B (2,m+1) $BJ,3dI=A4BN$K$D$$$F$N@55,2=Dj?t(B Z, $B$*$h$S(B Z $B$NJQ?t(B Y[1][0], ..., Y[1][m]
+(2$BHVL\$N9T(B)$B$K$D$$$F$NJPHyJ,$r7W;;$9$k(B.
+@end table
+
+@table @var
+@item return
+$B%j%9%H(B @var{Ans}
+@item A
+$B?t(B
+@item B
+$B?t$N%j%9%H(B. $BD9$5$O(B m.
+@item C
+$B?t(B
+@item Y
+(2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B. 
+@end table
+
+@itemize @bullet
+@item 
+@var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B.
+@var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B.
+@item 
+@var{Ans}[2]*@var{Ans}[1] $B$,(B Z.
+@var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$F$NJPHyJ,(B.
+@item
+$BO@J8(B
+1.Y.Goto, Contiguity relations of Lauricella's F_D revisited,  arxiv:1412.3256
+$B$GF3=P$5$l$F$$$k(B
+contiguity relation $B$rMQ$$$F7W;;$9$k(B.
+@end itemize
+
+@example
+[2449] marginal2abc([3,12],[6,3,3,3]);
+[-3,[-3,-3,-3],4]
+
+[2450] tk_fd.ahvec_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
+[[ 24041/1152 143551/11520 16973/1280 78827/5760 ],1/7776]
+
+[2451] expectation_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
+[721230/173593,430653/173593,458271/173593,67566/24799]
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{expectation_abc}
+@end table
+
+@noindent
+ChangeLog
+@itemize @bullet
+@item 
+$B$3$N4X?t$O(B   2014-$B2F$K3+H/$5$l$?(B.
+@end itemize
+
+
+@node pari,,, $B<B83E*;EMM$N4X?t(B
+@subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
+@findex pari
+@findex setbprec
+@findex setround
+@findex todouble
+@findex mpfr_gamma
+@findex mpfr_floor
+@findex mpfr_round
+
+@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 pari(@var{arg1},@var{arg2},...)
+::  MPFR $B$G(B pari $B$N4X?t$r(B emulate $B$9$k$+(B ox_pari $B%5!<%P!<$r8F$S=P$9(B.
+@itemx setbprec(@var{arg1})
+@itemx setround(@var{arg1})
+   $B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B.
+@itemx todouble(@var{arg1})
+:: bigfloat $B7?$r(B double $B$KJQ49$9$k(B.
+@itemx mpfr_gamma(@var{arg1})
+:: gamma $B4X?t$N7W;;(B.
+@itemx mpfr_floor(@var{arg1})
+::  floor $B$N7W;;(B.
+@itemx mpfr_round(@var{arg1})
+:: $B4]$a$N7W;;(B.
+@end table
+
+@table @var
+@item return
+$B8e=R(B.
+@item arg1, arg2
+$B8e=R(B.
+@end table
+
+@itemize @bullet
+@item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B.
+Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B.
+$B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B.
+@item
+pari(floor,@var{arg1}), 
+pari(round,@var{arg1}), 
+pari(gamma,@var{arg1})
+$B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B.
+$BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B.
+pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B, 
+$B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B. 
+Todo, ox_pari  $B$r;XDj$7$F8F$S=P$9J}K!(B.
+@end itemize
+
+@example
+[219] ctrl("bigfloat",1)$
+[220] setprec(100)$
+[221] pari(floor,1111111111111.1+1/10);
+1111111111111
+@end example
+
+@table @t
+@item $B;2>H(B
+@ref{pari}
+@end table
+
+@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
+@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+@noindent
+ChangeLog
+@itemize @bullet
+@item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B.
+$B$^$@:n6HCf(B.  Todo, asirgui $B$X$NBP1~(B. debug, ...
+@item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c, 
+asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B.
+@end itemize
+
 @comment ****************************************************************
 @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$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.