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version 1.13, 2005/03/04 03:49:47

version 1.14, 2015/08/18 02:54:05

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%% $OpenXM: OpenXM/doc/OpenXM-specs/cmo-basic1.tex,v 1.12 2002/01/20 09:26:21 takayama Exp $

%% $OpenXM: OpenXM/doc/OpenXM-specs/cmo-basic1.tex,v 1.13 2005/03/04 03:49:47 takayama Exp $

//&jp \section{ 数, 多項式の CMO 表現 }

//&eg \section{ CMOexpressions for numbers and polynomials }

\label{sec:basic1}

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#define CMO_RING_BY_NAME 26

#define CMO_DISTRIBUTED_POLYNOMIAL 31

#define CMO_RATIONAL 34

#define CMO_COMPLEX 35

#define CMO_INDETERMINATE 60

Line 72 ZZ, QQ, Zero, Rational, Indeterminate $\in$ CMObject/B

Line 73 ZZ, QQ, Zero, Rational, Indeterminate $\in$ CMObject/B

& & \mbox{ --- 有理数 $a/b$ を表す. } \\

\mbox{Rational} &:& ({\tt CMO\_RATIONAL}, {\sl CMObject}\, {\rm a}, {\sl CMObject}\, {\rm b}) \\

& & \mbox{ --- $a/b$ を表す. } \\

\mbox{Bigfloat} &:& ({\tt CMO\_BIGFLOAT},

{\sl int32}\, {\rm sign}, {\sl int32}\, {\rm prec}, {\sl int64}\, {\rm exp},

{\sl int32}\, \mbox{a[1]}, \ldots , {\sl int32}\, \mbox{a[$\lfloor \frac{{\rm prec}+31}{32} \rfloor$]} ) \\

&:& \mbox{ --- bigfloat をあらわす. a[i] についてはあとで説明}\\

\mbox{Complex} &:& ({\tt CMO\_COMPLEX}, {\sl CMObject}\, {\rm re}, {\sl CMObject}\, {\rm im}) \\

& & \mbox{ --- $a+b\sqrt{-1}$ を表す. } \\

\mbox{Indeterminate} &:& ({\tt CMO\_INDETERMINATE}, {\sl Cstring}\, {\rm v}) \\

& & \mbox{ --- 変数名 $v$ . } \\

\end{eqnarray*}

Line 96 ZZ, QQ, Zero, Rational, Indeterminate $\in$ CMObject/B

Line 103 ZZ, QQ, Zero, Rational, Indeterminate $\in$ CMObject/B

& & \mbox{ --- Rational number $a/b$. } \\

\mbox{Rational} &:& ({\tt CMO\_RATIONAL}, {\sl CMObject}\, {\rm a}, {\sl CMObject}\, {\rm b}) \\

& & \mbox{ --- Rational expression $a/b$. } \\

\mbox{Bigfloat} &:& ({\tt CMO\_BIGFLOAT},

{\sl int32}\, {\rm sign}, {\sl int32}\, {\rm prec}, {\sl int64}\, {\rm exp},

{\sl int32}\, \mbox{a[1]}, \ldots , {\sl int32}\, \mbox{a[$\lfloor \frac{{\rm prec}+31}{32} \rfloor$]} ) \\

&:& \mbox{ --- bignfloat. The meaning of a[i] will be explained later.}\\

\mbox{Complex} &:& ({\tt CMO\_COMPLEX}, {\sl CMObject}\, {\rm re}, {\sl CMObject}\, {\rm im}) \\

& & \mbox{ --- Complex number $a+b\sqrt{-1}$. } \\

\mbox{Indeterminate} &:& ({\tt CMO\_INDETERMINATE}, {\sl Cstring}\, {\rm v}) \\

& & \mbox{ --- Variable name $v$ . } \\

\end{eqnarray*}