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psblas3:
base/modules/Makefile base/modules/psb_gen_block_map_mod.f90 base/modules/psb_hash_map_mod.f90 docs/html/footnode.html docs/html/img1.png docs/html/img10.png docs/html/img100.png docs/html/img101.png docs/html/img102.png docs/html/img103.png docs/html/img104.png docs/html/img105.png docs/html/img106.png docs/html/img107.png docs/html/img108.png docs/html/img109.png docs/html/img11.png docs/html/img110.png docs/html/img111.png docs/html/img112.png docs/html/img113.png docs/html/img114.png docs/html/img115.png docs/html/img116.png docs/html/img117.png docs/html/img118.png docs/html/img119.png docs/html/img12.png docs/html/img120.png docs/html/img121.png docs/html/img122.png docs/html/img123.png docs/html/img124.png docs/html/img125.png docs/html/img126.png docs/html/img127.png docs/html/img128.png docs/html/img129.png docs/html/img13.png docs/html/img130.png docs/html/img131.png docs/html/img132.png docs/html/img133.png docs/html/img134.png docs/html/img135.png docs/html/img136.png 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Worked on documentation. 2. Fixed performance problem with gen_block_map: changed to use a hash internally. 3. Changed ppde to implement a convection-diffusion problem with centered differences.
This commit is contained in:
Salvatore Filippone
+95
-203
@@ -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>psb_gedots -- Generalized Dot Product</TITLE>
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<META NAME="description" CONTENT="psb_gedots -- Generalized Dot Product">
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<TITLE>Dense Vector Data Structure</TITLE>
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<META NAME="description" CONTENT="Dense Vector Data Structure">
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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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@@ -18,247 +18,139 @@ 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="next" HREF="node30.html">
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</HEAD>
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<BODY >
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<!--Navigation Panel-->
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<A NAME="tex2html538"
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<A NAME="tex2html559"
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HREF="node30.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="tex2html534"
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HREF="node26.html">
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<A NAME="tex2html555"
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HREF="node8.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="tex2html528"
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<A NAME="tex2html549"
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HREF="node28.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="tex2html536"
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<A NAME="tex2html557"
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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="tex2html539"
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HREF="node30.html">psb_geamax Infinity-Norm</A>
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<B> Up:</B> <A NAME="tex2html535"
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HREF="node26.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html529"
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HREF="node28.html">psb_gedot Dot</A>
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<B> <A NAME="tex2html537"
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<B> Next:</B> <A NAME="tex2html560"
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HREF="node30.html">Methods</A>
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<B> Up:</B> <A NAME="tex2html556"
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HREF="node8.html">Data Structures and Classes</A>
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<B> Previous:</B> <A NAME="tex2html550"
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HREF="node28.html">Named Constants</A>
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<B> <A NAME="tex2html558"
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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="SECTION00053000000000000000">
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psb_gedots -- Generalized Dot Product</A>
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<H2><A NAME="SECTION00044000000000000000"></A>
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<A NAME="sec:spmat"></A>
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<BR>
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Dense Vector Data Structure
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</H2>
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The vdata<TT>psb_vect_type</TT> data structure
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encapsulates the dense vectors in a way similar to sparse matrices.
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The user will not, in general, access the vector components directly,
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but rather via the routines of sec. <A HREF="node55.html#sec:toolsrout">6</A>. Among other
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simple things, we define here an extraction method that can be used to
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get a full copy of the part of the vector stored on the local
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process.
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<P>
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This subroutine computes a series of dot products among the columns of
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two dense matrices <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$"> and <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img28.png"
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ALT="$y$">:
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<BR><P></P>
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<DIV ALIGN="CENTER">
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<!-- MATH
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\begin{displaymath}
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res(i) \leftarrow x(:,i)^T y(:,i)
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\end{displaymath}
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-->
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<IMG
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WIDTH="150" HEIGHT="28" BORDER="0"
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SRC="img34.png"
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ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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If the matrices are complex, then the
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usual convention applies, i.e. the conjugate transpose of <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$"> is
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used. If <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$"> and <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img28.png"
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ALT="$y$"> are of rank one, then <IMG
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WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img35.png"
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ALT="$res$"> is a scalar, else it
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is a rank one array.
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<P>
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<PRE>
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call psb_gedots(res, x, y, desc_a, info)
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</PRE>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="1440"></A>
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<TABLE>
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<CAPTION><STRONG>Table 3:</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="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img35.png"
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ALT="$res$">, <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.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="img28.png"
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ALT="$y$"></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_gedots</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_gedots</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_gedots</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_gedots</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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The type declaration is shown in
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figure <A HREF="#fig:vectype">5</A> where <code>T</code> is a placeholder for the
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data type and precision variants
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<DL>
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<DT><STRONG>Type:</STRONG></DT>
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<DD>Synchronous.
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<DT><STRONG>I</STRONG></DT>
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<DD>Integer;
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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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<DT><STRONG>S</STRONG></DT>
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<DD>Single precision real;
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>the local portion of global dense matrix
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<IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$">.
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<BR>
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Scope: <B>local</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: an array of rank one or two
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containing numbers of type specified in
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Table <A HREF="#tab:f90mdot">3</A>. The rank of <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$"> must be the same of <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img28.png"
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ALT="$y$">.
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<DT><STRONG>D</STRONG></DT>
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<DD>Double precision real;
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</DD>
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<DT><STRONG>y</STRONG></DT>
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<DD>the local portion of global dense matrix
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<IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img28.png"
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ALT="$y$">.
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<BR>
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Scope: <B>local</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: an array of rank one or two
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containing numbers of type specified in
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Table <A HREF="#tab:f90mdot">3</A>. The rank of <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img28.png"
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ALT="$y$"> must be the same of <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$">.
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<DT><STRONG>C</STRONG></DT>
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<DD>Single precision complex;
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</DD>
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<DT><STRONG>desc_a</STRONG></DT>
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<DD>contains data structures for communications.
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<BR>
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Scope: <B>local</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 structured data of type descdata<TT>psb_desc_type</TT>.
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</DD>
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<DT><STRONG><B>On Return</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>res</STRONG></DT>
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<DD>is the dot product of subvectors <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$x$"> and <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img28.png"
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ALT="$y$">.
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<BR>
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Scope: <B>global</B>
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<BR>
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Intent: <B>out</B>.
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<BR>
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Specified as: a number or a rank-one array of the data type indicated
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in Table <A HREF="#tab:f90dot">2</A>.
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</DD>
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<DT><STRONG>info</STRONG></DT>
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<DD>Error code.
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<BR>
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Scope: <B>local</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>out</B>.
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<BR>
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An integer value; 0 means no error has been detected.
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<DT><STRONG>Z</STRONG></DT>
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<DD>Double precision complex.
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</DD>
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</DL>
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The actual data is contained in the polymorphic component <code>a%a</code>; its
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specific layout can be chosen dynamically among the predefined types,
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or an entirely new storage layout can be implemented and passed to the
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library at runtime via the <code>psb_spasb</code> routine.
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<DIV ALIGN="CENTER"><A NAME="fig:vectype"></A><A NAME="708"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 5:</STRONG>
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The PSBLAS defined data type that
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contains a dense vector..</CAPTION>
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<TR><TD>
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<BR>
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<DIV ALIGN="CENTER">
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<!-- MATH
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$\fbox{\TheSbox}$
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-->
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<IMG
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WIDTH="535" HEIGHT="218" ALIGN="MIDDLE" BORDER="0"
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SRC="img20.png"
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ALT="\fbox{\TheSbox}">
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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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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<UL>
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<LI><A NAME="tex2html561"
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HREF="node30.html">Methods</A>
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<LI><A NAME="tex2html562"
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HREF="node31.html">get_nrows -- Get number of rows in a dense vector</A>
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<LI><A NAME="tex2html563"
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HREF="node32.html">get_ncols -- Get number of columns in a sparse matrix</A>
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<LI><A NAME="tex2html564"
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HREF="node33.html">sizeof -- Get memory occupation in bytes
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of a dense vector matrix</A>
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<LI><A NAME="tex2html565"
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HREF="node34.html">get_vect -- Get a copy of the vector contents</A>
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</UL>
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Reference in New Issue
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