% *======================================================================*
%  Cactus Thorn template for ThornGuide documentation
%  Author: Ian Kelley
%  Date: Sun Jun 02, 2002
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% If you are using CVS use this line to give version information
% $Header$

\documentclass{article}

% Use the Cactus ThornGuide style file
% (Automatically used from Cactus distribution, if you have a
%  thorn without the Cactus Flesh download this from the Cactus
%  homepage at www.cactuscode.org)
\usepackage{../../../../doc/latex/cactus}

\begin{document}

% The author of the documentation
\author{Yaakoub Y El Khamra \textless yye00@cct.lsu.edu\textgreater}

% The title of the document (not necessarily the name of the Thorn)
\title{}

% the date your document was last changed, if your document is in CVS,
% please use:
%    \date{$ $Date$ $}
\date{May 26 2004}

\maketitle

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% START CACTUS THORNGUIDE

% Add all definitions used in this documentation here
%   \def\mydef etc

% Add an abstract for this thorn's documentation
\begin{abstract}
Implement reduction operations using the new reduction API.
\end{abstract}

% The following sections are suggestive only.
% Remove them or add your own.

\section{Introduction}
A local reduction operation can be defined as an operation 
on arrays (tuples) of variables resulting in a single number.
Typical reduction operations are sum, minimum/maximum value, and boolean
operations.  A typical application is, for example,
finding the minimum value in an n-dimensional array.

This implementation of local reduction implements reduction and registers
functions using the new local reduction API as discussed on the developers
mailing lists.
\section{Physical System}

\section{Numerical Implementation}
The new local reduce thorn has several new features including index strides and offsets
for array indexing and full complex number support. Pending request, weight support
can be enabled (there are some issues that a mask is essentially a weight with 1 or 0 value). 

Modifying or extending this thorn is quite a simple matter. The heart of all the reduction
operations is the large iterator macro in local\_reductions.h. This iterator supports n-dimensional
arrays with offsets and strides. The iterator is used in all local reduction operators in this thorn.
To add a reduction operator, or change an existing one, all that needs to be done is to change the
actual reduction operation definition which is called from within the iterator to perform the reduction.

To use a custom local reduction operator from the new global reduction implementation, some values
must be returned to the global reduction implementation, such as the type of MPI reduction operation that 
needs to be performed (MPI\_SUM, MPI\_MIN, MPI\_MAX) and if the final result should include a division by the 
total number of points used in the reduction. These are set in the parameter table with keys: mpi\_operation and perform\_division.

\section{Using This Thorn}
Please refer to the TestLocalReduce thorn in the CactusTest arrangement.
\subsection{Obtaining This Thorn}

\subsection{Basic Usage}

\subsection{Special Behaviour}

\subsection{Interaction With Other Thorns}

\subsection{Examples}

\subsection{Support and Feedback}

\section{History}

\subsection{Thorn Source Code}

\subsection{Thorn Documentation}

\subsection{Acknowledgements}


\begin{thebibliography}{9}

\end{thebibliography}

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\end{document}