
\section{Interfaces} 


\parskip = 0pt

\vspace{3mm} \subsection*{General}

\noindent {\bf Implements}: 

nullexact
\vspace{2mm}

\noindent {\bf Inherits}: 

nullvars

nullgrid

nullnews

nullconstr

nullinterp

nullevolve
\vspace{2mm}
\subsection*{Grid Variables}
\vspace{5mm}\subsubsection{PRIVATE GROUPS}

\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~\\ 
\hline 
realcharfuncs\_e &  & compact & 0 \\ 
 & wcn\_e & description & Error in Evolved Real-valued Characteristic Fields \\ 
 & bcn\_e & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & REAL \\ 
\hline 
realconstr\_e &  & compact & 0 \\ 
 & R01n\_e & description & Error in constraints \\ 
 & R01s\_e & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & REAL \\ 
\hline 
cmplxcharfuncs\_basic\_e\_split &  & compact & 0 \\ 
 & jcnr & description & Error in Evolved complex-valued Characteristic Fields (basic set \\ 
& ~ & description &  real and imag part) \\ 
 & jcni & dimensions & 2 \\ 
 & jcnr\_e & distribution & DEFAULT \\ 
 & jcni\_e & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & REAL \\ 
\hline 
cmplxcharfuncs\_basic\_e\_mask &  & compact & 0 \\ 
 & Mjcn\_e & description & Error in Evolved complex-valued Characteristic Fields (basic set) \\ 
 & Mucn\_e & dimensions & 2 \\ 
 & Meth2jcn\_e & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
cmplxcharfuncs\_basic\_e &  & compact & 0 \\ 
 & jcn\_e & description & Error in Evolved complex-valued Characteristic Fields (basic set) \\ 
 & ucn\_e & dimensions & 2 \\ 
 & qcn\_e & distribution & DEFAULT \\ 
 & eth2jcn\_e & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
cmplxcharfuncs\_aux\_e &  & compact & 0 \\ 
 & nucn\_e & description & Error in Evolved complex-valued Characteristic Fields (auxiliary set) \\ 
 & cbcn\_e & dimensions & 2 \\ 
 & ckcn\_e & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
\end{tabular*} 



\vspace{5mm}
\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~ \\ 
\hline 
realcharfuncs\_e\_south &  & compact & 0 \\ 
 & wcs\_e & description & Error in Evolved Real-valued Characteristic Fields (south) \\ 
 & bcs\_e & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & REAL \\ 
\hline 
cmplxcharfuncs\_basic\_e\_south &  & compact & 0 \\ 
 & jcs\_e & description & Error in Evolved complex-valued Characteristic Fields (basic set \\ 
& ~ & description &  south) \\ 
 & ucs\_e & dimensions & 2 \\ 
 & qcs\_e & distribution & DEFAULT \\ 
 & eth2jcs\_e & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
cmplxcharfuncs\_aux\_e\_south &  & compact & 0 \\ 
 & nucs\_e & description & Error in Evolved complex-valued Characteristic Fields (auxiliary set \\ 
& ~ & description &  south) \\ 
 & cbcs\_e & dimensions & 2 \\ 
 & ckcs\_e & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
newsbr & NewsBr & compact & 0 \\ 
 &  & description & Real part of Bondi News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
newsbi & NewsBi & compact & 0 \\ 
 &  & description & Imaginary part of Bondi News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
hmu &  & compact & 0 \\ 
 & muh & description & real part of omega - 1 \\ 
 & EQmuh & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
\end{tabular*} 



\vspace{5mm}
\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~ \\ 
\hline 
hj\_l &  & compact & 0 \\ 
 & Jh\_l & description & derivative of J \\ 
& ~ & description &  over x \\ 
 & Jh\_l & description &  evolved values \\ 
 & EQJh\_l & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
mu\_err &  & compact & 0 \\ 
 & mu\_e & description & error in real part of omega - 1 \\ 
 & EGmu\_e & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
j\_l\_err &  & compact & 0 \\ 
 & aJ\_l\_e & description & error in J\_l \\ 
 & EGaJ\_l\_e & dimensions & 2 \\ 
 & nJ\_l\_e & distribution & DEFAULT \\ 
 & EGnJ\_l\_e & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
newsr\_e & Newsr\_e & compact & 0 \\ 
 &  & description & error in real part of News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
newsi\_e & Newsi\_e & compact & 0 \\ 
 &  & description & error in imaginary part of News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
newsbr\_e & NewsBr\_e & compact & 0 \\ 
 &  & description & error in real part of Bondi News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
\end{tabular*} 



\vspace{5mm}
\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~ \\ 
\hline 
newsbi\_e & NewsBi\_e & compact & 0 \\ 
 &  & description & error in imaginary part of Bondi News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
newsb\_e & NewsB\_e & compact & 0 \\ 
 &  & description & error in Bondi News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
psi4r\_e & Psi4r\_e & compact & 0 \\ 
 &  & description & error in real part of Psi4 \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
psi4i\_e & Psi4i\_e & compact & 0 \\ 
 &  & description & error in imaginary part of Psi4 \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
psi4\_e & Psi4\_e & compact & 0 \\ 
 &  & description & error in Psi4 \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
ubondi\_e & uBondi\_e & compact & 0 \\ 
 &  & description & error in Bondi time associated with the Bondi News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
\end{tabular*} 



\vspace{5mm}
\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~ \\ 
\hline 
ana\_j\_l & ana\_J\_l & compact & 0 \\ 
 &  & description & analytic J\_l \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
num\_j\_l & num\_J\_l & compact & 0 \\ 
 &  & description & derivative of J \\ 
& ~ & description &  over x \\ 
 &  & description &  numeric values \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
ana\_mu & ana\_mu & compact & 0 \\ 
 &  & description & analytic Omega \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
ana\_news & ana\_News & compact & 0 \\ 
 &  & description & analytic complex-valued News (basic set) \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
ana\_psi4 & ana\_Psi4 & compact & 0 \\ 
 &  & description & analytic complex-valued Psi4 (basic set) \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
ana\_j &  & compact & 0 \\ 
 & ana\_jcn & description & Error in Evolved complex-valued Characteristic Fields J \\ 
 & ana\_jcs & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
\end{tabular*} 



\vspace{5mm}
\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~ \\ 
\hline 
ana\_u &  & compact & 0 \\ 
 & ana\_ucn & description & Error in Evolved complex-valued Characteristic Fields U \\ 
 & ana\_ucs & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
ana\_q &  & compact & 0 \\ 
 & ana\_qcn & description & Error in Evolved complex-valued Characteristic Fields Q \\ 
 & ana\_qcs & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & NullGrid::N\_radial\_pts \\ 
 &  & variable type & COMPLEX \\ 
\hline 
dotnews\_mol & dotNews\_MoL & compact & 0 \\ 
 &  & description & real dotNews for MoL - this is the real part of Psi4 \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 2 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
news\_mol & News\_MoL & compact & 0 \\ 
 &  & description & real News for MoL - this is the real part of integral Psi4 \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 2 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
errnews\_mol & errNews\_MoL & compact & 0 \\ 
 &  & description & difference between News from MoL integration of Psi4 and evolved News \\ 
 &  & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & REAL \\ 
\hline 
ylm\_group &  & compact & 0 \\ 
 & Ylm\_2 & description & Ylm\_s by patch \\ 
 & Ylm\_1 & dimensions & 2 \\ 
 & Ylm\_0 & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & vararray\_size & 2 \\ 
 &  & variable type & COMPLEX \\ 
\hline 
\end{tabular*} 



\vspace{5mm}
\vspace{5mm}

\begin{tabular*}{150mm}{|c|c@{\extracolsep{\fill}}|rl|} \hline 
~ {\bf Group Names} ~ & ~ {\bf Variable Names} ~  &{\bf Details} ~ & ~ \\ 
\hline 
wtexact\_mask &  & compact & 0 \\ 
 & WTexact\_maskn & description & Worldtube mask \\ 
 & WTexact\_masks & dimensions & 2 \\ 
 &  & distribution & DEFAULT \\ 
 &  & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
& ~ & ghostsize & NULLGRID::N\_ANG\_GHOST\_PTS \\ 
 &  & group type & ARRAY \\ 
 &  & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
& ~ & size & (NULLGRID::N\_ANG\_PTS\_INSIDE\_EQ+2*(NULLGRID::N\_ANG\_EV\_OUTSIDE\_EQ+NULLGRID::N\_ANG\_STENCIL\_SIZE)) \\ 
 &  & timelevels & 1 \\ 
 &  & variable type & INT \\ 
\hline 
\end{tabular*} 



\vspace{5mm}\parskip = 10pt 
