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+\subsection{The {\tt SAP:} module}\label{sect:SAPHYBData}
+
+This component of the lattice code is dedicated to the constitution of the
+reactor database intended to store {\sl all} the nuclear data, produced in
+the lattice code, that is useful
+in reactor calculations including fuel management and space-time kinetics.
+Multigroup lattice calculations are too expensive to be executed dynamically
+from the driver of the global reactor calculation. A more feasible
+approach is to create a reactor database where a finite number of lattice
+calculation results are tabulated against selected {\sl global parameters}
+chosen so as to represent expected operating conditions of the reactor.
+
+\vskip 0.1cm
+
+The \moc{SAP:} operator is used to create and construct a {\sc saphyb} object.
+This object is generally {\sl persistent} and used to collect information gathered
+from many DRAGON {\sl elementary calculations} performed under various conditions.
+The {\sc saphyb} object is based on a specification of the Saphyr code system.\cite{Apollo2}
+
+\vskip 0.1cm
+
+Each elementary calculation is characterized by a tuple of {\sl global parameters}.
+These global parameters are of different types, depending on the nature of the
+study under consideration: type of assembly, power, temperature in a mixture,
+concentration of an isotope, time, burnup or exposure rate in a depletion calculation,
+etc. Each step of a depletion calculation represents an elementary calculation.
+The {\sc saphyb} object is often presented as a {\sl multi-parameter reactor database}.
+
+\vskip 0.1cm
+
+For each elementary calculation, the results are recovered from the output of the
+\moc{EDI:} operator and stored in a set of {\sl homogenized mixture}
+directories. The \moc{EDI:} operator is responsible for performing condensation
+in energy and homogenization in space of the macroscopic and microscopic cross
+sections. All the elementary calculations gathered in a single {\sc saphyb} object are
+characterized by a single output geometry and a unique output energy-group
+structure.
+
+\vskip 0.1cm
+
+The {\sc saphyb} object contains table-of-content information apart from a set of specific
+{\sl elementary calculation} directories. These directories are themself subdivided
+into {\sl homogenized mixture} directories. The localization of an elementary calculation
+is done using a tuple of global parameters. The elementary calculation indices are
+stored in a tree with the number of levels equal to the number of global parameters.
+An example of a tree with three global parameters is shown in \Fig{tree}. Each node
+of this tree is associated with the index of the corresponding global parameter and with the
+reference to the daughter nodes if they exist. The number of leaves is equal to the number
+of nodes for the last (third) parameter and is equal to the number of elementary
+calculations stored in the {\sc saphyb} object. The index of each elementary calculation is
+therefore an attribute of each leaf.
+
+\begin{figure}[h!]
+\begin{center}
+\epsfxsize=12cm
+\centerline{ \epsffile{tree.eps}}
+\parbox{14cm}{\caption{Global parameter tree in a {\sc saphyb} object}\label{fig:tree}}
+\end{center}
+\end{figure}
+
+\vskip 0.1cm
+
+In each homogenized mixture directory, the \moc{SAP:} operator recover
+cross sections for a number of {\sl particularized isotopes} and {\sl macroscopic
+sets}, a collection of isotopic cross sections weighted by isotopic number densities.
+Cross sections for particularized isotopes and macroscopic sets are recovered for
+{\sl selected reactions}. Other information is also recovered: multigroup neutron
+fluxes, isotopic number densities, fission spectrum and a set
+of {\sl local variables}. The local variables are values that characterize each
+homogenized mixture: local power, burnup, exposure rate, etc. Some local variables
+are arrays of values (eg: SPH equivalence factors). Finally, note that cross section
+information written on the {\sc saphyb} is {\sl not} transport corrected and {\sl not}
+SPH corrected.
+
+\vskip 0.1cm
+
+A different specification of the \moc{SAP:} function call is used for
+creation and construction of the {\sc saphyb} object.
+\begin{itemize}
+\item The first specification is used to initialize the {\sc saphyb} data structure
+as a function of the \dds{microlib} used in the reference calculation. Optionnally,
+the homogenized geometry is also provided. The initialization call is also used to
+set the choice of global parameters, local variables, particularized isotopes,
+macroscopic sets and selected reactions.
+\item A modification call to the \moc{SAP:} function is performed after each
+elementary calculation in order to recover output information processed by \moc{EDI:}
+(condensed and homogenized cross sections) and \moc{EVO:} (burnup dependant values).
+Global parameters and local variables can optionnally be recovered from \dds{microlib}
+objects. The \moc{EDI:} calculation is generally performed with option {\tt MICR ALL}.
+\end{itemize}
+
+The calling specifications are:
+
+\vskip -0.5cm
+
+\begin{DataStructure}{Structure \dstr{SAP:}}
+$\{$~~\dusa{SAPNAM} \moc{:=} \moc{SAP:} $[$ \dusa{SAPNAM} $]~[$~\dusa{HMIC} $]$ \moc{::} \dstr{saphyb\_data1} \\
+~~~$|$~~~\dusa{SAPNAM} \moc{:=} \moc{SAP:} \dusa{SAPNAM}~\dusa{EDINAM}~$[$ \dusa{BRNNAM} $]~[$ \dusa{HMIC1}~$[$~\dusa{HMIC2} $]~]~[$ \dusa{FLUNAM} $]$\\
+~~~~~~~~~~ \moc{::} \dstr{saphyb\_data2} \\
+~~~$|$~~~\dusa{SAPNAM} \moc{:=} \moc{SAP:} \dusa{SAPNAM} $[[$ \dusa{SAPRHS} $]]$ \moc{::} \dstr{saphyb\_data3} $\}$ \\
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmmm}
+
+\item[\dusa{SAPNAM}] {\tt character*12} name of the {\sc lcm} object containing the
+{\sl master} {\sc saphyb} data structure.
+
+\item[\dusa{HMIC}] {\tt character*12} name of the reference \dds{microlib} (type {\tt
+L\_LIBRARY}) containing the microscopic cross sections.
+
+\item[\dusa{EDINAM}] {\tt character*12} name of the {\sc lcm} object (type {\tt
+L\_EDIT}) containing the {\sc edition} data structure corresponding to an elementary
+calculation. The {\sc edition} data produced by the last call to the {\tt EDI:} module
+is used.
+
+\item[\dusa{BRNNAM}] {\tt character*12} name of the {\sc lcm} object (type {\tt
+L\_BURNUP}) containing the {\sc burnup} data structure. This object is compulsory if one
+of the following parameters is used: \moc{IRRA}, \moc{FLUB} and/or \moc{TIME}.
+
+\item[\dusa{HMIC1}] {\tt character*12} name of a \dds{microlib} (type {\tt
+L\_LIBRARY}) containing global parameter information.
+
+\item[\dusa{HMIC2}] {\tt character*12} name of a \dds{microlib} (type {\tt
+L\_LIBRARY}) containing global parameter information.
+
+\item[\dusa{FLUNAM}] {\tt character*12} name of the reference \dds{flux} (type {\tt
+L\_FLUX}). By default, the reference flux is not recovered and not written on the {\sc saphyb}.
+
+\item[\dusa{SAPRHS}] {\tt character*12} name of the {\sl read-only} {\sc saphyb} data structure. This
+data structure is concatenated to \dusa{SAPNAM} using the \dusa{saphyb\_data3} data structure,
+as presented in \Sect{descsap3}. \dusa{SAPRHS} must be defined with the same number of energy
+groups and the same number of homogeneous regions as \dusa{SAPNAM}. Moreover, all the
+global and local parameters of \dusa{SAPRHS} must be defined in \dusa{SAPNAM}. \dusa{SAPNAM}
+may be defined with {\sl global} parameters not defined in \dusa{SAPRHS}.
+
+\item[\dusa{saphyb\_data1}] input data structure containing initialization information (see \Sect{descsap1}).
+
+\item[\dusa{saphyb\_data2}] input data structure containing information related to the recovery of an
+elementary calculation (see \Sect{descsap2}).
+
+\item[\dusa{saphyb\_data3}] input data structure containing information related to the catenation of one or many
+{\sl read-only} {\sc saphyb} (see \Sect{descsap3}).
+
+\end{ListeDeDescription}
+
+\newpage
+
+\subsubsection{Initialization data input for module {\tt SAP:}}\label{sect:descsap1}
+
+\begin{DataStructure}{Structure \dstr{saphyb\_data1}}
+$[$~\moc{EDIT} \dusa{iprint}~$]$ \\
+$[$~\moc{NOML}~\dusa{nomlib}~$]$ \\
+$[$~\moc{COMM}~$[[$~\dusa{comment}~$]]$~\moc{ENDC}~$]$ \\
+$[[$~\moc{PARA}~\dusa{parnam}~\dusa{parkey} \\
+~~~\{~\moc{TEMP}~\dusa{micnam}~\dusa{imix}~$|$~\moc{CONC}~\dusa{isonam1}~\dusa{micnam}~\dusa{imix}~$|$~\moc{IRRA}~$|$~\moc{FLUB}~$|$ \\
+~~~~~~\moc{PUIS}~$|$~\moc{MASL}~$|$~\moc{FLUX}~$|$~\moc{TIME}~$|$~\moc{VALE}~\{~\moc{FLOT}~$|$~\moc{CHAI}~$|$~\moc{ENTI}~\}~\} \\
+$]]$ \\
+$[[$~\moc{LOCA}~\dusa{parnam}~\dusa{parkey} \\
+~~~\{~\moc{TEMP}~$|$~\moc{CONC}~\dusa{isonam2}~$|$~\moc{IRRA}~$|$~\moc{FLUB}~$|$~~\moc{FLUG}~$|$~\moc{PUIS}~$|$~\moc{MASL}~$|$~\moc{FLUX}~$|$~\moc{EQUI}~\} \\
+$]]$ \\
+$[$~\moc{ISOT}~\{~\moc{TOUT}~$|$ \moc{MILI}~\dusa{imil}~$|~[$~\moc{FISS}~$]~[$~\moc{PF}~$]~[$~(\dusa{HNAISO}(i),~i=1,$N_{\rm iso}$) $]$~\}~$]$ \\
+$[[$~\moc{MACR}~\dusa{HNAMAC}~\{~\moc{TOUT}~$|$~\moc{REST}~\}~$]]$ \\
+$[$~\moc{REAC}~(\dusa{HNAREA}(i),~i=1,$N_{\rm reac}$) $]$ \\
+$[$ \moc{NAME} (\dusa{HNAMIX}(i),~i=1,$N_m$) $]$ \\
+{\tt ;}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\moc{EDIT}] key word used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+SAP:}. =0 for no print; =1 for minimum printing (default value).
+
+\item[\moc{NOML}] key word used to input a user--defined name for the {\sc saphyb}. This information is mandatory
+if the Saphyb is to be read by the Lisaph module of Cronos.
+
+\item[\dusa{nomlib}] {\tt character*80} user-defined name.
+
+\item[\moc{COMM}] key word used to input a general comment for the {\sc saphyb}.
+
+\item[\dusa{comment}] {\tt character*80} user-defined comment.
+
+\item[\moc{ENDC}] end--of--comment key word.
+
+\item[\moc{PARA}] keyword used to define a single global parameter.
+
+\item[\moc{LOCA}] keyword used to define a single local variable (a local variable
+may be a single value or an array of values).
+
+\item[\dusa{parnam}] {\tt character*80} user-defined name of a global parameter or
+local variable.
+
+\item[\dusa{parkey}] {\tt character*4} user-defined keyword associated to a global
+parameter or local variable.
+
+\item[\dusa{micnam}] {\tt character*12} name of the \dds{microlib} (type {\tt
+L\_LIBRARY}) associated to a global parameter. The corresponding \dds{microlib} will be required on
+RHS of the \moc{SAP:} call described in Sect.~\ref{sect:descsap2}.
+
+\item[\dusa{imix}] index of the mixture associated to a global parameter. This mixture is
+located in \dds{microlib} named \dusa{micnam}.
+
+\item[\dusa{isonam1}] {\tt character*8} alias name of the isotope associated to a global
+parameter. This isotope is located in \dds{microlib} data structure named \dusa{micnam}.
+
+\item[\dusa{isonam2}] {\tt character*8} alias name of the isotope associated to a local
+variable. This isotope is located in the \dds{microlib} directory of the {\sc edition}
+data structure named \dusa{EDINAM}.
+
+\item[\moc{TEMP}] keyword used to define a temperature (in $^{\rm o}$C) as global parameter or
+local variable.
+
+\item[\moc{CONC}] keyword used to define a number density as global parameter or
+local variable.
+
+\item[\moc{IRRA}] keyword used to define a burnup (in MWday/Tonne) as global
+parameter or local variable.
+
+\item[\moc{FLUB}] keyword used to define a {\sl fuel-only} exposure rate (in n/kb) as global
+parameter or local variable. The exposure rate is recovered from the \dusa{BRNNAM}
+LCM object.
+
+\item[\moc{FLUG}] keyword used to define an exposure rate in global homogenized mixtures (in n/kb) as
+local variable. The exposure rate is recovered from the \dusa{BRNNAM}
+LCM object.
+
+\item[\moc{PUIS}] keyword used to define the power as global parameter or
+local variable.
+
+\item[\moc{MASL}] keyword used to define the mass density of heavy isotopes as
+global parameter or local variable.
+
+\item[\moc{FLUX}] keyword used to define the volume-averaged, energy-integrated flux as
+global parameter or local variable.
+
+\item[\moc{TIME}] keyword used to define the time (in seconds) as global parameter.
+
+\item[\moc{EQUI}] keyword used to define the SPH equivalence factors as
+local variable. A set of SPH factors can be defined as local
+variables. Note that the cross sections and fluxes stored in the {\sc saphyb} are
+{\sl not} SPH corrected.
+
+\item[\moc{VALE}] keyword used to define a user-defined quantity as global parameter.
+This keyword must be followed by the type of parameter.
+
+\item[\moc{FLOT}] keyword used to indicate that the user-defined global parameter
+is a floating point value.
+
+\item[\moc{CHAI}] keyword used to indicate that the user-defined global parameter
+is a {\tt character*12} value.
+
+\item[\moc{ENTI}] keyword used to indicate that the user-defined global parameter
+is an integer value.
+
+\item[\moc{ISOT}] keyword used to select the set of particularized isotopes.
+
+\item[\moc{TOUT}] keyword used to select all the available isotopes in the reference
+\dds{microlib} named \dusa{HMIC} as particularized isotopes.
+
+\item[\moc{MILI}] keyword used to select the isotopes in the reference
+\dds{microlib} named \dusa{HMIC} from a specific mixture as particularized isotopes.
+
+\item[\dusa{imil}] index of the mixture where the particularized isotopes are recovered.
+
+\item[\moc{FISS}] keyword used to select all the available fissile isotopes in the reference
+\dds{microlib} named \dusa{HMIC} as particularized isotopes.
+
+\item[\moc{PF}] keyword used to select all the available fission products in the reference
+\dds{microlib} named \dusa{HMIC} as particularized isotopes.
+
+\item[\dusa{HNAISO}(i)] {\tt character*12} user-defined isotope name. $N_{\rm iso}$ is the
+total number of explicitely--selected particularized isotopes.
+
+\item[\moc{MACR}] keyword used to select a type of macroscopic set. A maximum of two macroscopic sets is allowed.
+
+\item[\dusa{HNAMAC}] {\tt character*8} user-defined name of the macroscopic set.
+
+\item[\moc{TOUT}] keyword used to select all the available isotopes in the macroscopic set.
+
+\item[\moc{REST}] keyword used to remove all the particularized isotope contributions
+from the macroscopic set.
+
+\item[\moc{REAC}] keyword used to select the set of nuclear reactions.
+
+\item[\dusa{HNAREA}(i)] {\tt character*4} name of a user-selected reaction. $N_{\rm reac}$
+is the total number of selected reactions. \dusa{HNAREA}(i)
+is chosen among the following values:
+
+\begin{tabular}{p{1.0cm} p{16cm}|}
+\moc{TOTA} & Total cross sections \\
+\moc{TOP1} & Total $P_1$-weighted cross sections \\
+\moc{ABSO} & Absorption cross sections \\
+\moc{SNNN} & Excess cross section due to (n,$x$n) reactions \\
+\moc{FISS} & Fission cross section \\
+\moc{CHI} & Steady-state fission spectrum \\
+\moc{NUFI} & $\nu\Sigma_{\rm f}$ cross sections \\
+\moc{ENER} & Energy production cross section, taking into account all energy production reactions \\
+\moc{EFIS} & Energy production cross section for (n,f) reaction only \\
+\moc{EGAM} & Energy production cross section for (n,$\gamma$) reaction only \\
+\moc{FUIT} & $B^2$ times the leakage coefficient \\
+\moc{SELF} & within-group $P_0$ scattering cross section \\
+\moc{DIFF} & scattering cross section for each available Legendre order. These cross sections
+are \\
+& {\sl not} multiply by the $2\ell+1$ factor.\\
+\moc{PROF} & profile of the transfer cross section matrices (i.e. position of the non--zero element in \\
+& the transfer cross section matrices) \\
+\moc{TRAN} & transfer cross section matrices for each available Legendre order. These cross sections \\
+& are multiply by the $2\ell+1$ factor.\\
+\moc{CORR} & transport correction. Note that the cross sections stored in the {\sc saphyb} are {\sl not} \\
+& transport corrected.\\
+\moc{STRD} & STRD cross sections used to compute the diffusion coefficients \\
+\moc{NP} & (n,p) production cross sections \\
+\moc{NT} & (n,t) production cross sections \\
+\moc{NA} & (n,$\alpha$) production cross sections \\
+\end{tabular}
+
+\item[\moc{NAME}] key word used to define mixture names. By default, mixtures
+names are of the form \dusa{HNAMIX}(i), where
+\begin{verbatim}
+WRITE(HNAMIX(I),'(3HMIX,I5.5)') I
+\end{verbatim}
+
+\item[\dusa{HNAMIX}(i)] Character*20 user-defined mixture name. $N_m$ is the number of mixtures.
+
+\end{ListeDeDescription}
+
+\subsubsection{Modification data input for module {\tt SAP:}}\label{sect:descsap2}
+
+\begin{DataStructure}{Structure \dstr{saphyb\_data2}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{CRON} $]$ \\
+$[[$ \dusa{parkey} \dusa{value} $]]$ \\
+$[$ \moc{ORIG} \dusa{orig} $]$ \\
+$[$ \moc{SET} \dusa{xtr} $\{$ \moc{S} $|$ \moc{DAY} $|$ \moc{YEAR} $\}$ $]$ \\
+$[$ \moc{ICAL} {\tt >>} \dusa{ical} {\tt <<} $]$ \\
+{\tt ;}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\moc{EDIT}] key word used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+SAP:}. =0 for no print; =1 for minimum printing (default value).
+
+\item[\moc{CRON}] key word used to force the kinetics data to be placed into the {\tt divers} directory. By default,
+the kinetics data is placed in the {\tt cinetique} directory of each mixture subdirectory. The \moc{CRON} option can
+only be used if the Saphyb contains a unique mixture. This option is mandatory if the Saphyb is to be read by the Lisaph
+module of Cronos.
+
+\item[\dusa{parkey}] {\tt character*4} keyword associated to a user-defined global
+parameter.
+
+\item[\dusa{value}] floating-point, integer or {\tt character*12} value of a user-defined
+global parameter.
+
+\item[\moc{ORIG}] key word used to define the father node in the global parameter tree. By
+default, the index of the previous elementary calculation is used.
+
+\item[\dusa{orig}] index of the elementary calculation associated to the father node in the
+global parameter tree.
+
+\item[\moc{SET}] keyword used to recover the flux normalization factor already
+stored on \dusa{BRNNAM} from a sub-directory corresponding to a specific time.
+
+\item[\dusa{xtr}] time associated with the current flux calculation. The
+name of the sub-directory where this information is stored will be given by
+`{\tt DEPL-DAT}'//{\tt CNN} where {\tt CNN} is a {\tt character*4} variable
+defined by {\tt WRITE(CNN,'(I4)') INN} where {\tt INN} is an index associated
+with the time \dusa{xtr}.
+
+\item[\moc{S}] keyword to specify that the time is given in seconds.
+
+\item[\moc{DAY}] keyword to specify that the time is given in days.
+
+\item[\moc{YEAR}] keyword to specify that the time is given in years.
+
+\item[\moc{ICAL}] keyword used to recover the last calculation index.
+
+\item[\dusa{ical}] \texttt{character*12} CLE-2000 variable name in which the last calculation index will be placed.
+
+\end{ListeDeDescription}
+
+\subsubsection{Modification (catenate) data input for module {\tt SAP:}}\label{sect:descsap3}
+
+\vskip -0.5cm
+
+\begin{DataStructure}{Structure \dstr{saphyb\_data3}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{ORIG} \dusa{orig} $]$ \\
+$[[$ \dusa{parkey} \dusa{value} $]]$ \\
+$[$ \moc{WARNING-ONLY} $]$ \\
+{\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 {\tt
+SAP:}. =0 for no print; =1 for minimum printing (default value).
+
+\item[\dusa{parkey}] {\tt character*4} .keyword associated to a
+global parameter that is specific to \dusa{SAPNAM} (not defined in \dusa{SAPRHS}).
+
+\item[\dusa{value}] floating-point, integer or {\tt character*12} value of a user-defined
+global parameter.
+
+\item[\moc{ORIG}] keyword used to define the father node in the parameter tree. By
+default, the index of the previous elementary calculation is used.
+
+\item[\dusa{orig}] index of the elementary calculation associated to the father node in the
+parameter tree.
+
+\item[\moc{WARNING-ONLY}] This option is useful if an elementary calculation in \dusa{SAPRHS}
+is already present in \dusa{SAPNAM}. If this keyword is set, a warning is send and the \dusa{SAPNAM} values
+are kept, otherwise the run is aborted (default).
+
+\end{ListeDeDescription}
+
+\clearpage