\chapter{Predefined Variables}\label{ch:predefined} A few commonly used variables are predefined in \aprepro{}\footnote{The units system described in Chapter~\ref{ch:units} also predefines several variables when it is activated}. These are listed below. The default output format \cmd{\_FORMAT} is specified as a C language format string, see your C language documentation for more information. The default output format (\cmd{\_FORMAT}) and comment (\cmd{\_C\_}) variables are defined with a leading underscore in their name so they can be redefined without generating an error message. \begin{longtable}{lll} \caption{Predefined Variables}\\ Name & Value & Description \\ \hline PI & 3.14159265358979323846 & $\pi$ \\ PI\_2 & 1.57079632679489661923 & $\pi/2$ \\ TAU & 6.28318530717958623200 & $2\pi$ \\ SQRT2 & 1.41421356237309504880 & $\sqrt{2}$ \\ DEG & 57.2957795130823208768 & $180/\pi$ degrees per radian \\ RAD & 0.01745329251994329576 & $\pi/180$ radians per degree \\ E & 2.71828182845904523536 & base of natural logarithm \\ GAMMA & 0.57721566490153286060 & $\gamma$, euler-mascheroni constant \\ PHI & 1.61803398874989484820 & golden ratio $(\sqrt{5}+1)/2$ \\ VERSION & Varies, string value & current version of \aprepro \\ \_FORMAT& \texttt{"}\%.10g\texttt{"} & default output format \\ \_C\_ & \texttt{"}\$\texttt{"} & default comment character \\ \end{longtable} Note that the output format is used to output both integers and floating point numbers. Therefore, it should use the \%g format descriptor which will use either the decimal (\%d), exponential (\%e), or float (\%f) format, whichever is shorter, with insignificant zeros suppressed. The table below illustrates the effect of different format specifications on the output of the variable \textbf{PI} and the value 1.0 . See the documentation of your C compiler for more information. For most cases, the default value is sufficient. \begin{longtable}{lll} \caption{Effect of various output format specifications}\\ Format & PI Output & 1.0 Output \\ \hline \%.10g & 3.141592654 & 1 \\ \%.10e & 3.1415926536e+00 & 1.0000000000e+00 \\ \%.10f & 3.1415926536 & 1.0000000000 \\ \%.10d & 1413754136 & 0000000000 \\ \end{longtable} The comment character should be set to the character that the program which will read the processed file uses as a comment character. The default value of \texttt{"}\$\texttt{"} is the comment character used by the SEACAS codes at Sandia National Laboratories. The \textbf{-c} command line option (described in Chapter~\ref{ch:execution}) changes the value of the comment variable to match the character specified on the command line.