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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.19 and 1.23

version 1.19, 2005/05/04 00:08:38 version 1.23, 2006/03/12 07:05:41
Line 1 
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.18 2004/11/24 23:00:23 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
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 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 128  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
Line 128  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 * remove_paren::  * remove_paren::
 * set_secure_mode::  * set_secure_mode::
 * set_secure_flag::  * set_secure_flag::
   * initialize_static_variable::
   * eval_quote::
   * nqt_match::
   * nqt_match_rewrite::
   * qt_normalize::
   * qt_set_coef::
   * qt_set_ord::
   * qt_set_weight::
   * nqt_comp::
   * qt_is_var::
   * qt_is_ceof::
   * 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
Line 1082  ChangeLog
Line 1095  ChangeLog
 @end itemize  @end itemize
   
   
 @node quote_flatten,,, $B<B83E*;EMM$N4X?t(B  @node flatten_quote,,, $B<B83E*;EMM$N4X?t(B
 @subsection @code{quote_flatten}  @subsection @code{flatten_quote}
 @findex quote_flatten  @findex flatten_quote
   
 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t  @table @t
 @item quote_flatten(@var{q},@var{op})  @item flatten_quote(@var{q},@var{op})
 :: quote $B$N3g8L$r$H$j$5$k(B.  :: quote $B$N3g8L$r$H$j$5$k(B.
 @end table  @end table
   
Line 1111  Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
Line 1124  Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
 $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.  $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
 @item  @item
  $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,   $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
  1+2+3 $B$O<B$O(B (1+2)+3 $B$HI=8=$5$l$F$$$k(B.   1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
  $B$D$^$j(B + $B1i;;;R$O:87k9gE*$G$"$k(B.   $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
   @item  R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
     + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
   @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
 @end itemize  @end itemize
   
 @example  @example
Line 1470  cgi-asir.sh $B$G$O(B
Line 1486  cgi-asir.sh $B$G$O(B
   1.33      OpenXM_contrib2/asir2000/parse/parse.h    1.33      OpenXM_contrib2/asir2000/parse/parse.h
 @end itemize  @end itemize
   
   @node initialize_static_variable,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{initialize_static_variable}
   @findex initialize_static_variable
   
   
   @comment --- $B@bL@(B ---
   @table @t
   @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
   @end table
   
   
   @itemize @bullet
   @item static $BJQ?t$N<h07(B.
   $B2<$NNc$r;2>H$N$3$H(B.
   @end itemize
   
   
   @example
   if (1) @{
    module abc;
    static A;
    A=1;
    endmodule;
   @} else @{ @};
   
   end$
   $B$r(B t.rr $B$H$9$k$H$-(B,
   
   [6] load("./t.rr");
   1
   internal error (SEGV)
   $B$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 $B$N<h07$GLdBjE@$H$7$FIb>e(B.  2005.07.25.
   @item  oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
   @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
   @end itemize
   
   @node eval_quote,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{eval_quote}
   @findex eval_quote
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
   @table @t
   @item eval_quote(@var{Q});
   :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
   @end table
   
   @table @var
   @item return
   $B%*%V%8%'%/%H(B
   @item Q
   quote$B7?(B
   @end table
   
   @itemize @bullet
   @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
   @item $B5U4X?t$O(B @code{objtoquote}
   @end itemize
   
   @example
   ctrl("print_quote",2);
   A=quote((x-1)^2+(x-1)+3);
        $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
   eval_quote(A);
        $B=PNO(B: x^2-x+3
   print_input_form(A);     /* asir-contrib */
        $B=PNO(B: quote((x-1)^2+(x-1)+3)
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
   @ref{quote_to_funargs}, @ref{funargs_to_quote}
   @end table
   
   @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item  -----$B$^$@=q$$$F$J$$(B.
   @end itemize
   
   
   @node nqt_match,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{nqt_match}
   @findex nqt_match
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
   @table @t
   @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
   :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
   @end table
   
   @table @var
   @item return
   $B@0?t(B
   @item Expr
   quote$B7?(B
   @item Pattern
   quote$B7?(B
   @item Mode
   $B@0?t(B
   @end table
   
   @itemize @bullet
   @item  @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
   @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
   @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B.  fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
   @item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B
   fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
   @end itemize
   
   @example
   ctrl("print_quote",2);
   A=quote((x-y)*(x+y));
   nqt_match(A,quote(P*Q));
   [P,Q]
       $B=PNO(B:  [x-y, x+y]
   nqt_match(A,quote(P*Q),1);
       $B%^%C%A$7$J$$(B.
   nqt_match(A,quote(P*Q),2);
       $B%^%C%A$7$J$$(B.
   qt_normalize(A,1);
       $B=PNO(B:  ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
   qt_normalize(A,2);
       $B=PNO(B:  ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{nqt_match_rewrite},
   @ref{qt_rewrite}
   @end table
   
   @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item  ----- $B$^$@=q$$$F$J$$(B.
   @end itemize
   
   
   @node nqt_match_rewrite,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{nqt_match_rewrite}
   @findex nqt_match_rewrite
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
   @table @t
   @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
   :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
   @end table
   
   @table @var
   @item return
   quote$B7?(B
   @item Expr
   quote$B7?(B
   @item Rule
   [@var{Pattern},@var{Action}] $B$+$^$?$O(B
   [@var{Pattern},@var{Condition},@var{Action}].
   $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
   @item Mode
   $B@0?t(B
   @end table
   
   @itemize @bullet
   @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
   @var{Exprt} $B<+BN$rLa$9(B.
   @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B.  fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
   @end itemize
   
   @comment %%Doc: cfep/tests/2006-03-12-qt.rr
   @example
   ctrl("print_quote",2);
   nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
      $B=PNO(B: (x)+((y)*(z))
   A=`x*x;
   nqt_match_rewrite(A,[`X*Y,`X+Y],1);
      $B=PNO(B: x^2   ($B%^%C%A$7$F$$$J$$(B)
   nqt_match_rewrite(A,[`X*Y,`X+Y],2);
      $B=PNO(B: 2*x
   
   $BE,9g$K$D$$$F$N%b!<%I$N0c$$$rM}2r$9$k$?$a$K<!$NNc$*$h$S(B fnode$BI8=`7A(B(qt_normalize) $B$r;2>H(B.
   quotetolist(qt_normalize(`x*x,0));
       $B=PNO(B:  [b_op,^,[internal,x],[internal,2]]
   quotetolist(qt_normalize(`x*x,1));
       $B=PNO(B:  [b_op,^,[internal,x],[internal,2]]
   quotetolist(qt_normalize(`x*x,2));
       $B=PNO(B:  [n_op,*,[internal,x],[internal,x]]
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{nqt_match},
   @ref{qt_rewrite},
   @ref{qt_normalize}
   @end table
   
   @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item   -----$B$^$@=q$$$F$J$$(B.
   @end itemize
   
   
   
   @node qt_normalize,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{qt_normalize}
   @findex qt_normalize
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
   @table @t
   @item qt_normalize(@var{Expr}[,@var{Mode}])
   :: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
   @end table
   
   @table @var
   @item return
   quote$B7?(B
   @item Expr
   quote$B7?(B
   @item Mode
   $B@0?t(B
   @end table
   
   fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
   fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
   $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
   $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
   
   fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
   fnode $B$NI8=`7A$r(B fn $B$H=q$/$H$-(B, $BI8=`7A$N(B BNF$BIwI=8=$G$NDj5A$O0J2<$N$H$*$j(B.
   @example
    fn           = formula | functor(nf [,...]) | sum_of_monom
        fnode $B$NI8=`7A(B.  functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
    sum_of_monom = monom [+ ...]
        $B%b%N%_%"%k$NOB(B
    monom        = [formula *] nfpow [* ...]
        $B%b%N%_%"%k(B
    nfpow        = nf | nf^(nf)
        $BQQ>hItJ,$NI8=`7A(B
    formula      = Risa object
   @end example
   
   
   @itemize @bullet
   @item  @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
   @item $BE83+$O:F5"E*$G$"$k(B.
   @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
   (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
   $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
   @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$k$3$H$K$h$j(B, $B%Q%?!<%s%^%C%AMQ$N%Q%?!<%s$N?t$r8:$i$;$k$3$H$,7P83E*$K$o$+$C$F$$$k(B.
   @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
   @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
   @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
   @end itemize
   
   @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
   @comment %%cfep/tests/2006-03-12-qt.rr
   @example
   ctrl("print_quote",2);
   A=quote((x-y)*(x+y));
      $B=PNO(B:  ((x)-(y))*((x)+(y))
   B=qt_normalize(A,0);
      $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y))  Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
   quotetolist(B);
      $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
   
   B=qt_normalize(A,1);
      $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
              Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
   quotetolist(B);
      $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
   
   qt_normalize(A,2);
      $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
              Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
   quotetolist(B);
      $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
   
   qt_normalize(`x^2,2);
      $B=PNO(B: (x)*(x)
          Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{nqt_match},
   @ref{nqt_match_rewrite},
   @ref{quotetolist},
   @ref{quote_to_funargs}
   @end table
   
   @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item
   @end itemize
   
   
   @node qt_set_coef,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{qt_set_coef}
   @findex qt_set_coef
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
   @table @t
   @item qt_set_coef(@var{ParamList})
   :: $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
   $BHs2D49B?9`<0$r07$&(B.
   @end table
   
   @table @var
   @item return
   $B%j%9%H(B
   @item  ParamList
   $B%j%9%H(B
   @end table
   
   @itemize @bullet
   @item $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
   $BHs2D49B?9`<0$r07$&(B.
   @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
   @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
   @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
   @end itemize
   
   @example
   ctrl("print_quote",2);
   qt_set_coef([a]);
   B=qt_normalize(quote((a*x+a)^2),2);
        $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
   qt_normalize(B+B,2);
        $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{qt_normalize}
   @end table
   
   @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item -----$B$^$@=q$$$F$J$$(B.
   @end itemize
   
   
   @node qt_set_ord,,, $B<B83E*;EMM$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 ****************************************************************
   
   @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.
 @comment ****************************************************************  @comment ****************************************************************
 @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
 @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.

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