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Salvatore Filippone
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@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<HTML>
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<HEAD>
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<TITLE>Programming model</TITLE>
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<META NAME="description" CONTENT="Programming model">
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<TITLE>User-defined index mappings</TITLE>
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<META NAME="description" CONTENT="User-defined index mappings">
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@@ -19,105 +19,93 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
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<B> Next:</B> <A NAME="tex2html257"
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HREF="node8.html">Data Structures and Classes</A>
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<B> Up:</B> <A NAME="tex2html253"
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HREF="node3.html">General overview</A>
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<B> Previous:</B> <A NAME="tex2html249"
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<B> Next:</B> <A NAME="tex2html260"
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HREF="node8.html">Programming model</A>
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<B> Up:</B> <A NAME="tex2html256"
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HREF="node6.html">Application structure</A>
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<B> <A NAME="tex2html255"
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<B> Previous:</B> <A NAME="tex2html252"
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HREF="node6.html">Application structure</A>
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<B> <A NAME="tex2html258"
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HREF="node1.html">Contents</A></B>
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<BR>
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<BR>
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<!--End of Navigation Panel-->
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<H2><A NAME="SECTION00034000000000000000">
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Programming model</A>
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</H2>
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<H3><A NAME="SECTION00033100000000000000">
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User-defined index mappings</A>
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</H3>
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<P>
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The PSBLAS librarary is based on the Single Program Multiple Data
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(SPMD) programming model: each process participating in the
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computation performs the same actions on a chunk of data. Parallelism
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is thus data-driven.
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PSBLAS supports user-defined global to local index mappings, subject
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to the constraints outlined in sec. <A HREF="node6.html#sec:appstruct">2.3</A>:
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<OL>
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<LI>The set of indices owned locally must be mapped to the set
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<!-- MATH
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$1\dots n_{\hbox{row}_i}$
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-->
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<IMG
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WIDTH="77" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img17.png"
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ALT="$1\dots n_{\hbox{row}_i}$">;
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</LI>
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<LI>The set of halo points must be mapped to the set
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<!-- MATH
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$n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$
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-->
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<IMG
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WIDTH="130" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img18.png"
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ALT="$n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$">;
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</LI>
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</OL>
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but otherwise the mapping is arbitrary. The user application is
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responsible to ensure consistency of this mapping; some errors may be
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catched by the library, but this is not guaranteed.
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The application structure to
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support this usage is as follows:
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<OL>
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<LI>Initialize index space with
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<code>psb_cdall(ictx,desc,info,vl=vl,lidx=lidx)</code> passing the vectors
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<code>vl(:)</code> containing the set of global indices owned by the
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current process and <code>lidx(:)</code> containing the corresponding
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local indices;
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</LI>
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<LI>Add the halo points <code>ja(:)</code> and their associated local
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indices <code>lidx(:)</code> with a(some) call(s) to
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<code>psb_cdins(nz,ja,desc,info,lidx=lidx)</code>;
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</LI>
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<LI>Assemble the descriptor with <code>psb_cdasb</code>;
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</LI>
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<LI>Build the sparse matrices and vectors, optionally making use in
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<code>psb_spins</code> and <code>psb_geins</code> of the <code>local</code> argument
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specifying that the indices in <code>ia</code>, <code>ja</code> and <code>irw</code>,
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respectively, are already local indices.
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</LI>
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</OL>
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<P>
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Because of this structure, many subroutines coordinate their action
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across the various processes, thus providing an implicit
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synchronization point, and therefore <I>must</I> be
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called simultaneously by all processes participating in the
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computation. This is certainly true for the data allocation and
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assembly routines, for all the computational routines and for some of
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the tools routines.
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<P>
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However there are many cases where no synchronization, and indeed no
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communication among processes, is implied; for instance, all the routines in
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sec. <A HREF="#sec:dataquery"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]" SRC="crossref.png"></A> are only acting on the local data structures,
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and thus may be called independently. The most important case is that
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of the coefficient insertion routines: since the number of
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coefficients in the sparse and dense matrices varies among the
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processors, and since the user is free to choose an arbitrary order in
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builiding the matrix entries, these routines cannot imply a
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synchronization.
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<P>
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Throughout this user's guide each subroutine will be clearly indicated
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as:
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<DL>
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<DT><STRONG>Synchronous:</STRONG></DT>
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<DD>must be called simultaneously by all the
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processes in the relevant communication context;
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</DD>
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<DT><STRONG>Asynchronous:</STRONG></DT>
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<DD>may be called in a totally independent manner.
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</DD>
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</DL>
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<P>
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HREF="node3.html">General overview</A>
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