| version 1.22, 2005/07/26 05:31:52 |
version 1.23, 2006/03/12 07:05:41 |
|
|
| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.21 2005/07/25 12:23:05 takayama Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.22 2005/07/26 05:31:52 takayama Exp $ |
| \input texinfo |
\input texinfo |
| @iftex |
@iftex |
| @catcode`@#=6 |
@catcode`@#=6 |
|
|
| @title $B<B83E*;EMM$N4X?t(B |
@title $B<B83E*;EMM$N4X?t(B |
| @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B |
@subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B |
| @subtitle 1.0 $BHG(B |
@subtitle 1.0 $BHG(B |
| @subtitle 2005 $BG/(B 5 $B7n(B |
@subtitle 2006 $BG/(B 3 $B7n(B |
| |
|
| @author by Risa/Asir committers |
@author by Risa/Asir committers |
| @page |
@page |
| Line 129 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| Line 129 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| * set_secure_mode:: |
* set_secure_mode:: |
| * set_secure_flag:: |
* set_secure_flag:: |
| * initialize_static_variable:: |
* initialize_static_variable:: |
| |
* eval_quote:: |
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* nqt_match:: |
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* nqt_match_rewrite:: |
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* qt_normalize:: |
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* qt_set_coef:: |
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* qt_set_ord:: |
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* qt_set_weight:: |
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* nqt_comp:: |
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* qt_is_var:: |
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* qt_is_ceof:: |
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* qt_rewrite:: |
| |
|
| @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 |
|
|
| @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B. |
@item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B. |
| @end itemize |
@end itemize |
| |
|
| |
@node eval_quote,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{eval_quote} |
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@findex eval_quote |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item eval_quote(@var{Q}); |
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:: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B. |
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@end table |
| |
|
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@table @var |
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@item return |
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$B%*%V%8%'%/%H(B |
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@item Q |
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quote$B7?(B |
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@end table |
| |
|
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@itemize @bullet |
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@item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B. |
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@item $B5U4X?t$O(B @code{objtoquote} |
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@end itemize |
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|
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@example |
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ctrl("print_quote",2); |
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A=quote((x-1)^2+(x-1)+3); |
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$B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3) |
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eval_quote(A); |
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$B=PNO(B: x^2-x+3 |
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print_input_form(A); /* asir-contrib */ |
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$B=PNO(B: quote((x-1)^2+(x-1)+3) |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@ref{objtoquote}, @ref{quotetolist}, @ref{eval_string}, |
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@ref{quote_to_funargs}, @ref{funargs_to_quote} |
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@end table |
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|
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item -----$B$^$@=q$$$F$J$$(B. |
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@end itemize |
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|
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|
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@node nqt_match,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{nqt_match} |
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@findex nqt_match |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}]) |
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:: @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$$$H(B 0 $B$rLa$9(B. |
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@end table |
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|
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@table @var |
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@item return |
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$B@0?t(B |
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@item Expr |
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quote$B7?(B |
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@item Pattern |
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quote$B7?(B |
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@item Mode |
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$B@0?t(B |
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@end table |
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|
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@itemize @bullet |
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@item @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B. |
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@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. |
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@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$$$F$O(B @ref{qt_normalize} $B$r8+$h(B. |
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@item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B |
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fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B. |
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@end itemize |
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|
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@example |
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ctrl("print_quote",2); |
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A=quote((x-y)*(x+y)); |
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nqt_match(A,quote(P*Q)); |
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[P,Q] |
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$B=PNO(B: [x-y, x+y] |
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nqt_match(A,quote(P*Q),1); |
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$B%^%C%A$7$J$$(B. |
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nqt_match(A,quote(P*Q),2); |
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$B%^%C%A$7$J$$(B. |
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qt_normalize(A,1); |
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$B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x)) |
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qt_normalize(A,2); |
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$B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y)) |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@ref{nqt_match_rewrite}, |
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@ref{qt_rewrite} |
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@end table |
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|
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item ----- $B$^$@=q$$$F$J$$(B. |
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@end itemize |
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|
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|
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@node nqt_match_rewrite,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{nqt_match_rewrite} |
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@findex nqt_match_rewrite |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode}) |
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:: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. |
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@end table |
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|
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@table @var |
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@item return |
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quote$B7?(B |
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@item Expr |
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quote$B7?(B |
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@item Rule |
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[@var{Pattern},@var{Action}] $B$+$^$?$O(B |
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[@var{Pattern},@var{Condition},@var{Action}]. |
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$B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B. |
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@item Mode |
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$B@0?t(B |
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@end table |
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|
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@itemize @bullet |
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@item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B |
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@var{Exprt} $B<+BN$rLa$9(B. |
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@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$$$F$O(B @ref{qt_normalize} $B$r8+$h(B. |
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@end itemize |
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|
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@comment %%Doc: cfep/tests/2006-03-12-qt.rr |
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@example |
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ctrl("print_quote",2); |
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nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1); |
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$B=PNO(B: (x)+((y)*(z)) |
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A=`x*x; |
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nqt_match_rewrite(A,[`X*Y,`X+Y],1); |
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$B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B) |
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nqt_match_rewrite(A,[`X*Y,`X+Y],2); |
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$B=PNO(B: 2*x |
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|
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$BE,9g$K$D$$$F$N%b!<%I$N0c$$$rM}2r$9$k$?$a$K<!$NNc$*$h$S(B fnode$BI8=`7A(B(qt_normalize) $B$r;2>H(B. |
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quotetolist(qt_normalize(`x*x,0)); |
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$B=PNO(B: [b_op,^,[internal,x],[internal,2]] |
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quotetolist(qt_normalize(`x*x,1)); |
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$B=PNO(B: [b_op,^,[internal,x],[internal,2]] |
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quotetolist(qt_normalize(`x*x,2)); |
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$B=PNO(B: [n_op,*,[internal,x],[internal,x]] |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@ref{nqt_match}, |
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@ref{qt_rewrite}, |
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@ref{qt_normalize} |
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@end table |
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|
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item -----$B$^$@=q$$$F$J$$(B. |
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@end itemize |
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|
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|
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|
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@node qt_normalize,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{qt_normalize} |
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@findex qt_normalize |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item qt_normalize(@var{Expr}[,@var{Mode}]) |
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:: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B. |
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@end table |
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|
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@table @var |
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@item return |
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quote$B7?(B |
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@item Expr |
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quote$B7?(B |
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@item Mode |
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$B@0?t(B |
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@end table |
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|
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fnode$B$O(B quote$B7?$N<BBN$G$"$k(B. |
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fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B. |
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$B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B. |
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$B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B. |
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|
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fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B. |
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fnode $B$NI8=`7A$r(B fn $B$H=q$/$H$-(B, $BI8=`7A$N(B BNF$BIwI=8=$G$NDj5A$O0J2<$N$H$*$j(B. |
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@example |
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fn = formula | functor(nf [,...]) | sum_of_monom |
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fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B. |
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sum_of_monom = monom [+ ...] |
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$B%b%N%_%"%k$NOB(B |
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monom = [formula *] nfpow [* ...] |
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$B%b%N%_%"%k(B |
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nfpow = nf | nf^(nf) |
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$BQQ>hItJ,$NI8=`7A(B |
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formula = Risa object |
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@end example |
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|
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|
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@itemize @bullet |
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@item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B. |
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@item $BE83+$O:F5"E*$G$"$k(B. |
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@item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator |
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(b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B |
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$B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B. |
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@item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$k$3$H$K$h$j(B, $B%Q%?!<%s%^%C%AMQ$N%Q%?!<%s$N?t$r8:$i$;$k$3$H$,7P83E*$K$o$+$C$F$$$k(B. |
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@item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B. |
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@item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B |
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@item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B. |
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@end itemize |
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|
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@var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B. |
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@comment %%cfep/tests/2006-03-12-qt.rr |
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@example |
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ctrl("print_quote",2); |
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A=quote((x-y)*(x+y)); |
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$B=PNO(B: ((x)-(y))*((x)+(y)) |
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B=qt_normalize(A,0); |
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$B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B. |
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quotetolist(B); |
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$B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]] |
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|
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B=qt_normalize(A,1); |
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$B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x)) |
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Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B. |
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quotetolist(B); |
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$B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]] |
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|
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qt_normalize(A,2); |
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$B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y)) |
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Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B. |
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quotetolist(B); |
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$B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]] |
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|
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qt_normalize(`x^2,2); |
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$B=PNO(B: (x)*(x) |
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Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B. |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@ref{nqt_match}, |
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@ref{nqt_match_rewrite}, |
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@ref{quotetolist}, |
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@ref{quote_to_funargs} |
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@end table |
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|
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item |
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@end itemize |
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|
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|
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@node qt_set_coef,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{qt_set_coef} |
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@findex qt_set_coef |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item qt_set_coef(@var{ParamList}) |
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:: $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B |
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$BHs2D49B?9`<0$r07$&(B. |
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@end table |
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|
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@table @var |
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@item return |
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$B%j%9%H(B |
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@item ParamList |
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$B%j%9%H(B |
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@end table |
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|
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@itemize @bullet |
| |
@item $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B |
| |
$BHs2D49B?9`<0$r07$&(B. |
| |
@item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B. |
| |
@item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_set_coef([a]); |
| |
B=qt_normalize(quote((a*x+a)^2),2); |
| |
$B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2) |
| |
qt_normalize(B+B,2); |
| |
$B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node qt_set_ord,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{qt_set_ord} |
| |
@findex qt_set_ord |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_set_ord(@var{VarList}) |
| |
:: @var{VarList} $B$rJQ?t=g=x$H$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item VarList |
| |
$B%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B. |
| |
@item $B$3$N@k8@$r$7$J$$$H$"$kITDj85$K$D$$$F$N4{Dj$N<-=q<0=g=x(B-----$B$^$@=q$$$F$J$$(B---$B$rMQ$$$F9`$rHf3S$9$k(B. |
| |
@var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B. |
| |
@item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_normalize(quote(x+y),2); |
| |
$B=PNO(B: (x)+(y) |
| |
qt_set_ord([y,x]); |
| |
$B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ] |
| |
qt_normalize(quote(x+y),2); |
| |
$B=PNO(B: (y)+(x) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize}, |
| |
@ref{nqt_comp} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
|
| |
|
| |
@node qt_set_weight,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{qt_set_weight} |
| |
@findex qt_set_weight |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_set_weight(@var{WeightVector}) |
| |
:: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item WeightVector |
| |
$B%j%9%H(B |
| |
@end table |
| |
|
| |
fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B. |
| |
@example |
| |
f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B |
| |
$B$D$$$F$O$=$NCM(B. |
| |
|
| |
f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B. |
| |
w(f+g) = max(w(f),w(g)) |
| |
w(f g) = w(f) + w(g) |
| |
w(f^n) = n w(f) |
| |
$B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B. |
| |
@end example |
| |
|
| |
@itemize @bullet |
| |
@item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B. |
| |
@var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B. |
| |
@item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B. |
| |
@item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B. |
| |
@item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_set_weight([[x,-1],[y,-1]]); |
| |
$B7k2L(B: [[x,-1],[y,-1]] |
| |
qt_normalize(quote( 1+(x+y)+(x+y)^2),1); |
| |
$B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y)) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize}, |
| |
@ref{qt_set_ord}, |
| |
@ref{qt_set_weight}, |
| |
@ref{dp_gr_main} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
@end itemize |
| |
|
| |
|
| |
@node nqt_comp,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{nqt_comp} |
| |
@findex nqt_comp |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item nqt_cmp(@var{Expr1},@var{Exprt2}) |
| |
:: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item Expr1, Expr2 |
| |
quote$B7?(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B. |
| |
@item @var{Expr1} > @var{Exprt2} $B$J$i(B 1. |
| |
@item @var{Expr1} < @var{Exprt2} $B$J$i(B -1. |
| |
@item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0. |
| |
@end itemize |
| |
|
| |
@example |
| |
ctrl("print_quote",2); |
| |
qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]); |
| |
[nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)]; |
| |
$B=PNO(B: [-1,1,0] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_normalize}, |
| |
@ref{qt_set_ord}, |
| |
@ref{qt_set_weight} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
@comment **************************************************************** |
| |
|
| |
@node qt_is_var,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{qt_is_var}, @code{qt_is_coef} |
| |
@findex qt_is_var |
| |
@findex qt_is_coef |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_is_var(@var{Expr}) |
| |
:: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B. |
| |
@item qt_is_coef(@var{Expr}) |
| |
:: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B@0?t(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B. |
| |
$B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[qt_is_var(quote(x)), qt_is_var(quote(3/2))]; |
| |
$B=PNO(B: [1,0] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{qt_rewrite}, |
| |
@ref{nqt_match_rewrite} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item -----$B$^$@=q$$$F$J$$(B. |
| |
@end itemize |
| |
@comment **************************************************************** |
| |
|
| |
@node qt_rewrite,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{qt_rewrite} |
| |
@findex qt_rewrite |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item qt_rewrite(@var{Expr},@var{Rules},@var{Mode}) |
| |
:: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
quote$B7?(B |
| |
@item Expr |
| |
quote$B7?(B |
| |
@item Rules |
| |
$B%j%9%H(B |
| |
@item Mode |
| |
$B@0?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B. |
| |
@code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B. |
| |
(noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B |
| |
$B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B) |
| |
@item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B. |
| |
@item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B. |
| |
$B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B. |
| |
@item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B |
| |
@var{Pattern} $B$HF1$8=q$-J}(B. |
| |
$B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B |
| |
[$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B]. |
| |
@item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B. |
| |
$B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()} |
| |
$B$5$l$F$+$i?k9T$5$l$k(B. |
| |
@end itemize |
| |
|
| |
$BCm0U(B: $B?t3XE*$K$O(B X*Y=Y*X $B$,2D49@-$rM?$($k5,B'$@$,(B, $B$3$l$r$=$N$^$^5,B'$H$7$F(B |
| |
$BM?$($k$H=q$-49$($,Dd;_$7$J$$(B. $B<!$NNc$G$O(B, $B>e$NNc$N$h$&$K=g=xHf3S$7(B, $B$?$H$($P(B, |
| |
$B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B. |
| |
@example |
| |
import("noro_rewrite.rr"); |
| |
R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]]; |
| |
qt_rewrite(`(x-y)^2,R,2); |
| |
$B=PNO(B: quote(x*x+-2*x*y+y*y) |
| |
@end example |
| |
|
| |
$B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B). |
| |
@example |
| |
import("noro_rewrite.rr"); |
| |
Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0), |
| |
quote(-Y*X)]; |
| |
Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)]; |
| |
Rext2=[quote(X*X),quote(0)]; |
| |
Rext=[Rext0,Rext1,Rext2]; |
| |
qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1); |
| |
$B=PNO(B: 2*x*y |
| |
|
| |
qt_set_coef([a,b,c,d]); |
| |
qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1); |
| |
$B=PNO(B: (d*a-c*b)*x*y |
| |
|
| |
@end example |
| |
|
| |
$BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B). |
| |
@example |
| |
import("noro_rewrite.rr"); |
| |
qt_set_coef([a,b]); |
| |
Rd1=[`d(X+Y), `d(X)+d(Y)]; |
| |
Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)]; |
| |
Rd3=[`d(N), `qt_is_coef(N), `0]; |
| |
Rd4=[`d(x),`1]; |
| |
Rd=[Rd1,Rd2,Rd3,Rd4]; |
| |
B=qt_rewrite( `d( (a*x+b)^3),Rd,2); |
| |
$B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a) |
| |
fctr(eval_quote(B)); |
| |
$B=PNO(B: [[3,1],[a,1],[a*x+b,2]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{nqt_match}, |
| |
@ref{nqt_match_rewrite}, |
| |
@ref{qt_normalize} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B. |
| |
$B$3$N%f!<%68@8l$K$h$k3+H/$,(B 2005$BG/$N=U$^$G9T$o$l(B, $B$=$N$"$HAH$_9~$_4X?t<gBN$N(B |
| |
qt $B7O$N4X?t$,3+H/$5$l$?(B. |
| |
@item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B: |
| |
OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B |
| |
OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B). |
| |
@item Todo: qt $B7O$N4X?t$rMQ$$$?$*$b$7$m$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B. |
| |
@end itemize |
| |
@comment **************************************************************** |
| |
|
| |
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