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This commit is contained in:
Salvatore Filippone
+384
-94
@@ -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>Data management routines</TITLE>
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<META NAME="description" CONTENT="Data management routines">
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<TITLE>psb_spmm -- Sparse Matrix by Dense Matrix Product</TITLE>
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<META NAME="description" CONTENT="psb_spmm -- Sparse Matrix by Dense Matrix Product">
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<META NAME="keywords" CONTENT="userhtml">
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<META NAME="resource-type" CONTENT="document">
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<META NAME="distribution" CONTENT="global">
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@@ -18,119 +18,409 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<LINK REL="STYLESHEET" HREF="userhtml.css">
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<LINK REL="previous" HREF="node57.html">
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<BODY >
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<!--Navigation Panel-->
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<A NAME="tex2html922"
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<A NAME="tex2html943"
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HREF="node59.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
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<A NAME="tex2html918"
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HREF="userhtml.html">
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<A NAME="tex2html939"
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HREF="node46.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
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<A NAME="tex2html912"
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<A NAME="tex2html933"
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HREF="node57.html">
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<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
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<A NAME="tex2html920"
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<A NAME="tex2html941"
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HREF="node1.html">
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html923"
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HREF="node59.html">psb_cdall Allocates</A>
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<B> Up:</B> <A NAME="tex2html919"
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HREF="userhtml.html">userhtml</A>
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<B> Previous:</B> <A NAME="tex2html913"
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HREF="node57.html">psb_scatter Scatter</A>
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<B> <A NAME="tex2html921"
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<B> Next:</B> <A NAME="tex2html944"
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HREF="node59.html">psb_spsm Triangular</A>
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<B> Up:</B> <A NAME="tex2html940"
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HREF="node46.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html934"
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HREF="node57.html">psb_spnrmi Infinity</A>
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<B> <A NAME="tex2html942"
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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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<H1><A NAME="SECTION00070000000000000000"></A>
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<A NAME="sec:toolsrout"></A>
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<BR>
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Data management routines
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</H1>
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<H2><A NAME="SECTION000512000000000000000">
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psb_spmm -- Sparse Matrix by Dense Matrix
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Product</A>
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</H2>
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<P>
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<BR><HR>
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<!--Table of Child-Links-->
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<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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This subroutine computes the Sparse Matrix by Dense Matrix Product:
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<UL>
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<LI><A NAME="tex2html924"
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HREF="node59.html">psb_cdall -- Allocates a communication descriptor</A>
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<LI><A NAME="tex2html925"
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HREF="node60.html">psb_cdins -- Communication descriptor insert
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routine</A>
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<LI><A NAME="tex2html926"
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HREF="node61.html">psb_cdasb -- Communication descriptor assembly
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routine</A>
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<LI><A NAME="tex2html927"
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HREF="node62.html">psb_cdcpy -- Copies a communication descriptor</A>
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<LI><A NAME="tex2html928"
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HREF="node63.html">psb_cdfree -- Frees a communication descriptor</A>
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<LI><A NAME="tex2html929"
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HREF="node64.html">psb_cdbldext -- Build an extended communication
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descriptor</A>
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<LI><A NAME="tex2html930"
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HREF="node65.html">psb_spall -- Allocates a sparse matrix</A>
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<LI><A NAME="tex2html931"
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HREF="node66.html">psb_spins -- Insert a cloud of elements into a sparse
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matrix</A>
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<LI><A NAME="tex2html932"
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HREF="node67.html">psb_spasb -- Sparse matrix assembly routine</A>
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<LI><A NAME="tex2html933"
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HREF="node68.html">psb_spfree -- Frees a sparse matrix</A>
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<LI><A NAME="tex2html934"
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HREF="node69.html">psb_sprn -- Reinit sparse matrix structure for psblas
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routines.</A>
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<LI><A NAME="tex2html935"
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HREF="node70.html">psb_geall -- Allocates a dense matrix</A>
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<LI><A NAME="tex2html936"
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HREF="node71.html">psb_geins -- Dense matrix insertion routine</A>
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<LI><A NAME="tex2html937"
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HREF="node72.html">psb_geasb -- Assembly a dense matrix</A>
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<LI><A NAME="tex2html938"
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HREF="node73.html">psb_gefree -- Frees a dense matrix</A>
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<LI><A NAME="tex2html939"
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HREF="node74.html">psb_gelp -- Applies a left permutation to a dense
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matrix</A>
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<LI><A NAME="tex2html940"
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HREF="node75.html">psb_glob_to_loc -- Global to local indices
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convertion</A>
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<LI><A NAME="tex2html941"
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HREF="node76.html">psb_loc_to_glob -- Local to global indices
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conversion</A>
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<LI><A NAME="tex2html942"
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HREF="node77.html">psb_is_owned -- </A>
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<LI><A NAME="tex2html943"
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HREF="node78.html">psb_owned_index -- </A>
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<LI><A NAME="tex2html944"
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HREF="node79.html">psb_is_local -- </A>
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<LI><A NAME="tex2html945"
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HREF="node80.html">psb_local_index -- </A>
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<LI><A NAME="tex2html946"
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HREF="node81.html">psb_get_boundary -- Extract list of boundary
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elements</A>
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<LI><A NAME="tex2html947"
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HREF="node82.html">psb_get_overlap -- Extract list of overlap
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elements</A>
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<LI><A NAME="tex2html948"
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HREF="node83.html">psb_sp_getrow -- Extract row(s) from a sparse
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matrix</A>
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<LI><A NAME="tex2html949"
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HREF="node84.html">psb_sizeof -- Memory occupation</A>
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<LI><A NAME="tex2html950"
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HREF="node85.html">Sorting utilities -- </A>
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</UL>
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<!--End of Table of Child-Links-->
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<BR><HR>
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<P>
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<BR>
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<DIV ALIGN="RIGHT">
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha A x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG
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WIDTH="102" HEIGHT="27" BORDER="0"
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SRC="img44.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha A x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(1)</TD></TR>
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</TABLE>
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<BR CLEAR="ALL"></DIV><P></P>
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<BR>
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<DIV ALIGN="RIGHT">
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha A^T x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
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WIDTH="112" HEIGHT="27" BORDER="0"
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SRC="img45.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha A^T x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(2)</TD></TR>
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</TABLE>
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<BR CLEAR="ALL"></DIV><P></P>
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<BR>
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<DIV ALIGN="RIGHT">
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha A^H x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG
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WIDTH="114" HEIGHT="27" BORDER="0"
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SRC="img46.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha A^H x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(3)</TD></TR>
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</TABLE>
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<BR CLEAR="ALL"></DIV><P></P>
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<P>
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where:
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<DL>
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<DT><STRONG><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"></STRONG></DT>
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<DD>is the global dense matrix <IMG
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WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img47.png"
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ALT="$x_{:, :}$">
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</DD>
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<DT><STRONG><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></STRONG></DT>
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<DD>is the global dense matrix <IMG
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WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img48.png"
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ALT="$y_{:, :}$">
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</DD>
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<DT><STRONG><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$"></STRONG></DT>
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<DD>is the global sparse matrix <IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">
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</DD>
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</DL>
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<P>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="1803"></A>
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<TABLE>
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<CAPTION><STRONG>Table 12:</STRONG>
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Data types</CAPTION>
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<TR><TD>
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<DIV ALIGN="CENTER">
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<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
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<TR><TD ALIGN="LEFT"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">, <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$">, <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">, <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img22.png"
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ALT="$\alpha$">, <IMG
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WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img23.png"
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ALT="$\beta$"></TD>
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<TD ALIGN="LEFT"><B>Subroutine</B></TD>
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</TR>
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<TR><TD ALIGN="LEFT">Short Precision Real</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Long Precision Real</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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</TR>
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</TABLE>
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</DIV>
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</TD></TR>
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</TABLE>
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</DIV><P></P>
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<BR>
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<P>
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<PRE>
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call psb_spmm(alpha, a, x, beta, y, desc_a, info)
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call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
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& trans, work)
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</PRE>
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<P>
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<DL>
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<DT><STRONG>Type:</STRONG></DT>
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<DD>Synchronous.
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</DD>
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<DT><STRONG><B>On Entry</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>alpha</STRONG></DT>
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<DD>the scalar <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img22.png"
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ALT="$\alpha$">.
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<BR>
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Scope: <B>global</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a number of the data type indicated in
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Table <A HREF="#tab:f90spmm">12</A>.
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</DD>
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<DT><STRONG>a</STRONG></DT>
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<DD>the local portion of the sparse matrix
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<IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">.
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<BR>
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Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
|
||||
</DD>
|
||||
<DT><STRONG>x</STRONG></DT>
|
||||
<DD>the local portion of global dense matrix
|
||||
<IMG
|
||||
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$">.
|
||||
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
|
||||
containing numbers of type specified in
|
||||
Table <A HREF="#tab:f90spmm">12</A>. The rank of <IMG
|
||||
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"> must be the same of <IMG
|
||||
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img21.png"
|
||||
ALT="$y$">.
|
||||
</DD>
|
||||
<DT><STRONG>beta</STRONG></DT>
|
||||
<DD>the scalar <IMG
|
||||
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img23.png"
|
||||
ALT="$\beta$">.
|
||||
<BR>
|
||||
Scope: <B>global</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Specified as: a number of the data type indicated in Table <A HREF="#tab:f90spmm">12</A>.
|
||||
</DD>
|
||||
<DT><STRONG>y</STRONG></DT>
|
||||
<DD>the local portion of global dense matrix
|
||||
<IMG
|
||||
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img21.png"
|
||||
ALT="$y$">.
|
||||
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>inout</B>.
|
||||
<BR>
|
||||
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
|
||||
containing numbers of type specified in
|
||||
Table <A HREF="#tab:f90spmm">12</A>. The rank of <IMG
|
||||
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img21.png"
|
||||
ALT="$y$"> must be the same of <IMG
|
||||
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$">.
|
||||
</DD>
|
||||
<DT><STRONG>desc_a</STRONG></DT>
|
||||
<DD>contains data structures for communications.
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
|
||||
</DD>
|
||||
<DT><STRONG>trans</STRONG></DT>
|
||||
<DD>indicates what kind of operation to perform.
|
||||
<DL>
|
||||
<DT><STRONG>trans = N</STRONG></DT>
|
||||
<DD>the operation is specified by equation <A HREF="#eq:f90spmm_no_tra">1</A>
|
||||
</DD>
|
||||
<DT><STRONG>trans = T</STRONG></DT>
|
||||
<DD>the operation is specified by equation
|
||||
<A HREF="#eq:f90spmm_tra">2</A>
|
||||
</DD>
|
||||
<DT><STRONG>trans = C</STRONG></DT>
|
||||
<DD>the operation is specified by equation
|
||||
<A HREF="#eq:f90spmm_con">3</A>
|
||||
</DD>
|
||||
</DL>
|
||||
Scope: <B>global</B>
|
||||
<BR>
|
||||
Type: <B>optional</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Default: <IMG
|
||||
WIDTH="79" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img49.png"
|
||||
ALT="$trans = N$">
|
||||
<BR>
|
||||
Specified as: a character variable.
|
||||
|
||||
<P>
|
||||
</DD>
|
||||
<DT><STRONG>work</STRONG></DT>
|
||||
<DD>work array.
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>optional</B>
|
||||
<BR>
|
||||
Intent: <B>inout</B>.
|
||||
<BR>
|
||||
Specified as: a rank one array of the same type of <IMG
|
||||
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"> and <IMG
|
||||
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img21.png"
|
||||
ALT="$y$"> with
|
||||
the TARGET attribute.
|
||||
|
||||
<P>
|
||||
</DD>
|
||||
<DT><STRONG><B>On Return</B></STRONG></DT>
|
||||
<DD>
|
||||
</DD>
|
||||
<DT><STRONG>y</STRONG></DT>
|
||||
<DD>the local portion of result matrix <IMG
|
||||
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img21.png"
|
||||
ALT="$y$">.
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>inout</B>.
|
||||
<BR>
|
||||
Specified as: an array of rank one or two
|
||||
containing numbers of type specified in
|
||||
Table <A HREF="#tab:f90spmm">12</A>.
|
||||
</DD>
|
||||
<DT><STRONG>info</STRONG></DT>
|
||||
<DD>Error code.
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>out</B>.
|
||||
<BR>
|
||||
An integer value; 0 means no error has been detected.
|
||||
</DD>
|
||||
</DL>
|
||||
|
||||
<P>
|
||||
<HR>
|
||||
<!--Navigation Panel-->
|
||||
<A NAME="tex2html943"
|
||||
HREF="node59.html">
|
||||
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
||||
<A NAME="tex2html939"
|
||||
HREF="node46.html">
|
||||
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
||||
<A NAME="tex2html933"
|
||||
HREF="node57.html">
|
||||
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
||||
<A NAME="tex2html941"
|
||||
HREF="node1.html">
|
||||
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
||||
<BR>
|
||||
<B> Next:</B> <A NAME="tex2html944"
|
||||
HREF="node59.html">psb_spsm Triangular</A>
|
||||
<B> Up:</B> <A NAME="tex2html940"
|
||||
HREF="node46.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html934"
|
||||
HREF="node57.html">psb_spnrmi Infinity</A>
|
||||
<B> <A NAME="tex2html942"
|
||||
HREF="node1.html">Contents</A></B>
|
||||
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|
||||
|
||||
</BODY>
|
||||
</HTML>
|
||||
|
||||
Reference in New Issue
Block a user