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Diff for /OpenXM/src/asir-doc/parts/builtin/num.texi between version 1.4 and 1.7

version 1.4, 2001/03/12 05:01:19 version 1.7, 2002/09/03 01:50:59
Line 1 
Line 1 
 @comment $OpenXM: OpenXM/src/asir-doc/parts/builtin/num.texi,v 1.3 2000/01/13 08:29:57 noro Exp $  @comment $OpenXM: OpenXM/src/asir-doc/parts/builtin/num.texi,v 1.6 2002/08/08 05:24:37 noro Exp $
 \BJP  \BJP
 @node $B?t$N1i;;(B,,, $BAH$_9~$_H!?t(B  @node $B?t$N1i;;(B,,, $BAH$_9~$_H!?t(B
 @section $B?t$N1i;;(B  @section $B?t$N1i;;(B
Line 419  function
Line 419  function
 @findex random  @findex random
   
 @table @t  @table @t
 @item radom([@var{seed}])  @item random([@var{seed}])
 \JP :: $BMp?t$r@8@.$9$k(B.  \JP :: $BMp?t$r@8@.$9$k(B.
 @end table  @end table
   
Line 482  one can trace a single random number sequence arcoss m
Line 482  one can trace a single random number sequence arcoss m
 @findex lrandom  @findex lrandom
   
 @table @t  @table @t
 @item lradom(@var{bit})  @item lrandom(@var{bit})
 \JP :: $BB?G\D9Mp?t$r@8@.$9$k(B.  \JP :: $BB?G\D9Mp?t$r@8@.$9$k(B.
 \EG :: Generates a long random number.  \EG :: Generates a long random number.
 @end table  @end table
Line 727  These functions works also for polynomials with comple
Line 727  These functions works also for polynomials with comple
 @code{deval} $B$OG\@:EYIbF0>.?t$r7k2L$H$7$F(B  @code{deval} $B$OG\@:EYIbF0>.?t$r7k2L$H$7$F(B
 @code{eval} $B$N>l9g(B, $BM-M}?t$O$=$N$^$^;D$k(B.  @code{eval} $B$N>l9g(B, $BM-M}?t$O$=$N$^$^;D$k(B.
 @item  @item
 @code{eval} $B$K$*$$$F$O(B, $B7W;;$O(B @b{PARI} (@xref{pari}) $B$,9T$&(B.  @code{eval} $B$K$*$$$F$O(B, $B7W;;$O(B @b{PARI} (@ref{pari}) $B$,9T$&(B.
 @code{deval} $B$K$*$$$F$O(B, $B7W;;$O(B C $B?t3X%i%$%V%i%j$N4X?t$rMQ$$$F9T$&(B.  @code{deval} $B$K$*$$$F$O(B, $B7W;;$O(B C $B?t3X%i%$%V%i%j$N4X?t$rMQ$$$F9T$&(B.
 @item  @item
 @code{deval} $B$OJ#AG?t$O07$($J$$(B.  @code{deval} $B$OJ#AG?t$O07$($J$$(B.
Line 735  These functions works also for polynomials with comple
Line 735  These functions works also for polynomials with comple
 @code{eval} $B$K$*$$$F$O(B,  @code{eval} $B$K$*$$$F$O(B,
 @var{prec} $B$r;XDj$7$?>l9g(B, $B7W;;$O(B, 10 $B?J(B @var{prec} $B7eDxEY$G9T$o$l$k(B.  @var{prec} $B$r;XDj$7$?>l9g(B, $B7W;;$O(B, 10 $B?J(B @var{prec} $B7eDxEY$G9T$o$l$k(B.
 @var{prec} $B$N;XDj$,$J$$>l9g(B, $B8=:_@_Dj$5$l$F$$$k@:EY$G9T$o$l$k(B.  @var{prec} $B$N;XDj$,$J$$>l9g(B, $B8=:_@_Dj$5$l$F$$$k@:EY$G9T$o$l$k(B.
 (@xref{setprec})  (@xref{setprec}.)
 @item  @item
 @table @t  @table @t
 @item $B07$($kH!?t$O(B, $B<!$NDL$j(B.  @item $B07$($kH!?t$O(B, $B<!$NDL$j(B.
Line 770  possible.
Line 770  possible.
 double float. Rational numbers remain unchanged in results from @code{eval}.  double float. Rational numbers remain unchanged in results from @code{eval}.
 @item  @item
 In @code{eval} the computation is done  In @code{eval} the computation is done
 by @b{PARI} (@xref{pari}). In @code{deval} the computation is  by @b{PARI}. (@xref{pari}.) In @code{deval} the computation is
 done by the C math library.  done by the C math library.
 @item  @item
 @code{deval} cannot handle complex numbers.  @code{deval} cannot handle complex numbers.
Line 778  done by the C math library.
Line 778  done by the C math library.
 When @var{prec} is specified, computation will be performed with a  When @var{prec} is specified, computation will be performed with a
 precision of about @var{prec}-digits.  precision of about @var{prec}-digits.
 If @var{prec} is not specified, computation is performed with the  If @var{prec} is not specified, computation is performed with the
 precision set currently. (@xref{setprec})  precision set currently. (@xref{setprec}.)
 @item  @item
 Currently available numerical functions are listed below.  Currently available numerical functions are listed below.
 Note they are only a small part of whole @b{PARI} functions.  Note they are only a small part of whole @b{PARI} functions.
Line 983  For details of individual functions, refer to the @b{P
Line 983  For details of individual functions, refer to the @b{P
 @code{lngamma},  @code{lngamma},
 @code{logagm},  @code{logagm},
 @code{mat},  @code{mat},
 @code{matinvr},  
 @code{matrixqz2},  @code{matrixqz2},
 @code{matrixqz3},  @code{matrixqz3},
 @code{matsize},  @code{matsize},
Line 1098  We will improve @b{Asir} so that it can provide more f
Line 1097  We will improve @b{Asir} so that it can provide more f
 $B0z?t$,$"$k>l9g(B, @b{bigfloat} $B$N7e?t$r(B @var{n} $B7e$K@_Dj$9$k(B.  $B0z?t$,$"$k>l9g(B, @b{bigfloat} $B$N7e?t$r(B @var{n} $B7e$K@_Dj$9$k(B.
 $B0z?t$N$"$k$J$7$K$+$+$o$i$:(B, $B0JA0$K@_Dj$5$l$F$$$?CM$rJV$9(B.  $B0z?t$N$"$k$J$7$K$+$+$o$i$:(B, $B0JA0$K@_Dj$5$l$F$$$?CM$rJV$9(B.
 @item  @item
 @b{bigfloat} $B$N7W;;$O(B @b{PARI} (@xref{pari}) $B$K$h$C$F9T$o$l$k(B.  @b{bigfloat} $B$N7W;;$O(B @b{PARI} (@ref{pari}) $B$K$h$C$F9T$o$l$k(B.
 @item  @item
 @b{bigfloat} $B$G$N7W;;$KBP$7M-8z$G$"$k(B.  @b{bigfloat} $B$G$N7W;;$KBP$7M-8z$G$"$k(B.
 @b{bigfloat} $B$N(B flag $B$r(B on $B$K$9$kJ}K!$O(B, @code{ctrl} $B$r;2>H(B.  @b{bigfloat} $B$N(B flag $B$r(B on $B$K$9$kJ}K!$O(B, @code{ctrl} $B$r;2>H(B.
Line 1114  The return value is always the previous precision in d
Line 1113  The return value is always the previous precision in d
 the existence of an argument.  the existence of an argument.
   
 @item  @item
 @b{Bigfloat} operations are done by @b{PARI}. (@xref{pari})  @b{Bigfloat} operations are done by @b{PARI}. (@xref{pari}.)
 @item  @item
 This is effective for computations in @b{bigfloat}.  This is effective for computations in @b{bigfloat}.
 Refer to @code{ctrl()} for turning on the `@b{bigfloat} flag.'  Refer to @code{ctrl()} for turning on the `@b{bigfloat} flag.'

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