File: double.tex

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\subsection{double}
\label{labdouble}
\noindent Names: \textbf{double}, \textbf{D}\\
\phantom{aaa}rounding to the nearest IEEE 754 double (binary64).\\[0.2cm]
\noindent Library names:\\
\verb|   sollya_obj_t sollya_lib_double(sollya_obj_t)|\\
\verb|   sollya_obj_t sollya_lib_double_obj()|\\
\verb|   int sollya_lib_is_double_obj(sollya_obj_t)|\\
\verb|   sollya_obj_t sollya_lib_build_function_double(sollya_obj_t)|\\
\verb|   #define SOLLYA_D(x) sollya_lib_build_function_double(x)|\\[0.2cm]
\noindent Description: \begin{itemize}

\item \textbf{double} is both a function and a constant.

\item As a function, it rounds its argument to the nearest IEEE 754 double precision (i.e. IEEE754-2008 binary64) number.
   Subnormal numbers are supported as well as standard numbers: it is the real
   rounding described in the standard.

\item As a constant, it symbolizes the double precision format. It is used in 
   contexts when a precision format is necessary, e.g. in the commands 
   \textbf{round}, \textbf{roundcoefficients} and \textbf{implementpoly}.
   See the corresponding help pages for examples.
\end{itemize}
\noindent Example 1: 
\begin{center}\begin{minipage}{15cm}\begin{Verbatim}[frame=single]
> display=binary!;
> D(0.1);
1.100110011001100110011001100110011001100110011001101_2 * 2^(-4)
> D(4.17);
1.000010101110000101000111101011100001010001111010111_2 * 2^(2)
> D(1.011_2 * 2^(-1073));
1.1_2 * 2^(-1073)
\end{Verbatim}
\end{minipage}\end{center}
See also: \textbf{halfprecision} (\ref{labhalfprecision}), \textbf{single} (\ref{labsingle}), \textbf{doubleextended} (\ref{labdoubleextended}), \textbf{doubledouble} (\ref{labdoubledouble}), \textbf{quad} (\ref{labquad}), \textbf{tripledouble} (\ref{labtripledouble}), \textbf{roundcoefficients} (\ref{labroundcoefficients}), \textbf{implementpoly} (\ref{labimplementpoly}), \textbf{round} (\ref{labround}), \textbf{printdouble} (\ref{labprintdouble})