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diff --git a/doc/IGE344/SectGRAD.tex b/doc/IGE344/SectGRAD.tex new file mode 100644 index 0000000..7ebcafd --- /dev/null +++ b/doc/IGE344/SectGRAD.tex @@ -0,0 +1,118 @@ +\subsection{The \texttt{GRAD:} module} + +The {\tt GRAD:} module is designed to perform the following tasks: +\begin{itemize} +\item compute the gradients of the {\sl system characteristics} (i.e., objective function and constraints) using +solutions of direct or adjoint fixed source eigenvalue problems. Here, we assume an optimization problem with \dusa{nvar} +control variables and with \dusa{ncst} constraints. The total number of system characteristics is therefore equal to +\dusa{ncst}$+1$. + +\item define options and parameters related to the optimization problem. +\end{itemize} + +\vskip 0.08cm + +The calling specifications are: + +\begin{DataStructure}{Structure \moc{GRAD:}} +\dusa{OPTIM} \moc{:=} \moc{GRAD:} $[$ \dusa{OPTIM} $]$ \dusa{DFLUX} \dusa{GPT} \moc{::} \dstr{grad\_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 +optimization informations. Object \dusa{OPTIM} must appear on the RHS to be able to updated the previous values. + +\item[\dusa{DFLUX}] \texttt{character*12} name of the \dds{flux} object ({\tt L\_FLUX} signature) containing a set of +solutions of fixed-source eigenvalue problems. + +\item[\dusa{GPT}] \texttt{character*12} name of the \dds{source} object ({\tt L\_SOURCE} signature) containing a set of +direct or adjoint sources. + +\item[\dstr{grad\_data}] structure containing the data to the module \texttt{GRAD:} (see Sect.~\ref{sect:grad_data}). + +\end{ListeDeDescription} +\vskip 0.2cm + +\subsubsection{Data input for module \texttt{GRAD:}}\label{sect:grad_data} + +\begin{DataStructure}{Structure \moc{grad\_data}} +$[$ \moc{EDIT} \dusa{iprint} $]$ \\ +$[~\{$ \moc{MAXIMIZE} $|$ \moc{MINIMIZE} $\}~]$ \\ +$[$ \moc{OUT-STEP-LIM} \dusa{sr} $]$ \\ +$[$ \moc{VAR-VALUE} ( \dusa{control}(i), i=1,\dusa{nvar} ) $]~[$ \moc{VAR-WEIGHT} ( \dusa{weight}(i), i=1,\dusa{nvar} ) $]$ \\ +$[$ \moc{VAR-VAL-MIN} $\{$ ( \dusa{vecmin}(i), i=1,\dusa{nvar} ) $|$ \moc{ALL} \dusa{varmin} $]$ \\ +$[$ \moc{VAR-VAL-MAX} $\{$ ( \dusa{vecmax}(i), i=1,\dusa{nvar} ) $|$ \moc{ALL} \dusa{varmax} $]$ \\ +$[$ \moc{FOBJ-CST-VAL} ( \dusa{funct}(i), i=1,\dusa{ncst}$+1$ ) $]$ \\ +$[$ \moc{CST-TYPE} ( \dusa{type}(i), i=1,\dusa{ncst} ) $]~[$ \moc{CST-OBJ} $\{$ ( \dusa{cstval}(i), i=1,\dusa{ncst} ) $|$ \moc{KEEP} $\}~]$ \\ +$[$ \moc{CST-WEIGHT} ( \dusa{cstw}(i), i=1,\dusa{ncst} ) $]$ \\ +; +\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{MAXIMIZE}] keyword used to specify that the optimization problem will be a maximization. + +\item[\moc{MINIMIZE}] keyword used to specify that the optimization problem will be a minimization (default). + +\item[\moc{OUT-STEP-LIM}] keyword used to set or reset the maximum steplength along the gradient (default value is \dusa{sr} $=1.0$ or the value +recovered from \dusa{OPTIM}). + +\item[\dusa{sr}] maximum steplength value (real). + +\item[\moc{VAR-VALUE}] keyword to specify the values of the control variables. These values can also be set in a previous call +to module {\tt GRAD:} or set in another module. + +\item[\dusa{control}] array containing \dusa{nvar} real values. + +\item[\moc{VAR-WEIGHT}] keyword to specify the values of the control variable weights in the quadratic constraint. All weights +are set to 1.0 by default. + +\item[\dusa{weight}] array containing \dusa{nvar} real values. + +\item[\moc{VAR-VAL-MIN}] keyword to specify the minimum values of the control variables. These values can also be set in a previous call +to module {\tt GRAD:}. + +\item[\dusa{vecmin}] array containing \dusa{nvar} real values. + +\item[\dusa{varmin}] single real value used for all control variables. + +\item[\moc{VAR-VAL-MAX}] keyword to specify the maximum values of the control variables. These values can also be set in a previous call +to module {\tt GRAD:}. + +\item[\dusa{vecmax}] array containing \dusa{nvar} real values. + +\item[\dusa{varmax}] single real value used for all control variables. + +\item[\moc{FOBJ-CST-VAL}] keyword to specify the value of the objective function followed by the actual values of the constraints. These values can also be set in a previous call +to module {\tt GRAD:} or set in another module. + +\item[\dusa{funct}] array containing \dusa{ncst}$+1$ real values. + +\item[\moc{CST-TYPE}] keyword to specify the relation types of the constraints. These values can also be set in a previous call +to module {\tt GRAD:}. + +\item[\dusa{type}] array containing \dusa{ncst} integer values. These values are: $=-1$ for $\ge$, $=0$ for equalily and $=1$ +for $\le$. + +\item[\moc{CST-OBJ}] keyword to specify the RHS values of the constraints. These values can also be set in a previous call +to module {\tt GRAD:}. + +\item[\dusa{cstval}] array containing \dusa{ncst} real values. + +\item[\moc{KEEP}] keyword to specify that the RHS values of the constraints are identical to the values of the previous iteration. + +\item[\moc{CST-WEIGHT}] keyword to specify the weights (or penalties) of the constraints. These weights are not used with +Lemke or MAP methods. These values can also be set in a previous call to module {\tt GRAD:}. + +\item[\dusa{cstw}] array containing \dusa{ncst} real values. + +\end{ListeDeDescription} +\clearpage |