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-\subsection{The \texttt{FPSPH:} module}
-
-The {\tt FPSPH:} module performs a single fixed-point (aka. Picard) or Newton SPH iteration. This module is intended to be used in
-a {\tt REPEAT UNTIL} loop, implemented in CLE-2000 macro-language, where the macro calculation is explicitely called, as depicted
-in Figs.~\ref{fig:fig_fpsph} and~\ref{fig:fig_fnewton}.
-
-\vskip 0.2cm
-
-\begin{figure}[h!]
-\begin{center}
-\includegraphics[scale=0.85]{Figures/fpsph.eps} 
-\caption{Fixed point SPH iterations.}\label{fig:fig_fpsph}
-\end{center}
-\end{figure}
-
-\begin{figure}[h!]
-\begin{center}
-\includegraphics[scale=0.85]{Figures/flow_newton.eps} 
-\caption{Newton SPH iterations.}\label{fig:fig_fnewton}
-\end{center}
-\end{figure}
-
-\clearpage
-
-The calling specifications are:
-
-\begin{DataStructure}{Structure \moc{FPSPH:}}
-\dusa{OPTIM} \moc{:=} \moc{FPSPH:} $[$ \dusa{OPTIM} $]$ \dusa{MACROLIB} \dusa{MACROREF} \moc{::} \dstr{fpsph\_data}
-\end{DataStructure}
-
-\noindent where
-
-\begin{ListeDeDescription}{mmmmmmmm}
-
-\item[\dusa{OPTIM}] \texttt{character*12} name of the \dds{optimize} object ({\tt L\_OPTIMIZE} signature) containing the
-SPH factors. At the first call, object \dusa{OPTIM} must appear on LHS to receive its initial values. On subsequent calls, object
-\dusa{OPTIM} must appear on both LHS and RHS to be able to update the previous values.
-
-\item[\dusa{MACROLIB}] \texttt{character*12} name of the read-only extended \dds{macrolib} object ({\tt L\_MACROLIB} signature) containing the
-macroscopic cross sections used by the macro-calculation and fluxes produced by the macro-calculation.
-
-\item[\dusa{MACROREF}] \texttt{character*12} name of the read-only extended \dds{macrolib} object ({\tt L\_MACROLIB} signature) containing the
-reference macroscopic cross sections and fluxes.
-
-\item[\dstr{fpsph\_data}] structure containing the data to the module \texttt{FPSPH:} (see Sect.~\ref{sect:lnsr_data}).
-
-\end{ListeDeDescription}
-\vskip 0.2cm
-
-\subsubsection{Data input for module \texttt{FPSPH:}}\label{sect:lnsr_data}
-
-\begin{DataStructure}{Structure \moc{fpsph\_data}}
-$[$ \moc{EDIT} \dusa{iprint} $]$ \\
-$[~$\moc{SPH} $\{$ \moc{PN} $|$ \moc{SN} $\}~]$ \\
-$[$ \moc{GRPMIN} \dusa{ngr1} $]~[$ \moc{GRPMAX} \dusa{ngr2} $]$\\
-$[$ \moc{OUT-STEP-EPS} \dusa{$\epsilon_{ext}$} \\
-$[$ \moc{VAR-VAL-MIN} \dusa{varmin} $]~[$ \moc{VAR-VAL-MAX} \dusa{varmax} $]$ \\
-$[$ \moc{OUT-CONV-TST} {\tt >>} \dusa{$l_{conv}$} {\tt <<} $[$ {\tt >>} \dusa{$rms_{conv}$} {\tt <<} $]~]$ \\
-;
-\end{DataStructure}
-
-\noindent where
-\begin{ListeDeDescription}{mmmmmmmm}
-
-\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
-
-\item[\dusa{iprint}] index used to control the printing in module.
-
-\item[\moc{PN}] keyword to activate a calculation of heterogeneous SPH factors of diffusion, PN or SPN type.
-
-\item[\moc{SN}] keyword to activate a calculation of heterogeneous SPH factors of PIJ, IC, SN or MOC type.
-This is the default option.
-
-\item[\moc{GRPMIN}] keyword used to set the first energy group where SPH correction is applied. By default,
-the first energy group index is used.
-
-\item[\dusa{ngr1}] minimum energy group index where SPH correction is applied.
-
-\item[\moc{GRPMAX}] keyword used to set the last energy group where SPH correction is applied. By default,
-the total number of energy groups in \dusa{MACROLIB} is used.
-
-\item[\dusa{ngr2}] maximum energy group index where SPH correction is applied.
-
-\item[\moc{OUT-STEP-EPS}] keyword used to set the tolerance of SPH iteration convergence inside module {\tt FPSPH:} (default value
-is $1.0 \times 10^{-4}$).
-
-\item[\dusa{$\epsilon_{ext}$}] tolerance value (real or double precision).
-
-\item[\moc{VAR-VAL-MIN}] keyword to specify the minimum values of the SPH factors. These values can also be set in a previous call
-to module {\tt GRAD:}.
-
-\item[\dusa{varmin}] single real value used for all SPH factors.
-
-\item[\moc{VAR-VAL-MAX}] keyword to specify the maximum values of the SPH factors. These values can also be set in a previous call
-to module {\tt GRAD:}.
-
-\item[\dusa{varmax}] single real value used for all SPH factors.
-
-\item[\moc{OUT-CONV-TST}] keyword used to determine if the SPH convergence has been reached.
-
-\item[\dusa{$l_{conv}$}] $=1$ means that SPH convergence has been reached; $=0$ otherwise.
-
-\item[\dusa{$rms_{conv}$}] RMS error of the converged SPH factors.
-
-\end{ListeDeDescription}
-\clearpage