Updated description of DOT and friends to account for optional GLOBAL

var.
This commit is contained in:
Salvatore Filippone
2018-04-20 15:57:26 +01:00
parent eaaa701c2e
commit 4a6c0857f1
281 changed files with 15338 additions and 14268 deletions
+63 -23
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@@ -23,26 +23,26 @@
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@@ -73,7 +73,7 @@ nrm2 \leftarrow \sqrt{x^T x}
<IMG
WIDTH="106" HEIGHT="24" BORDER="0"
SRC="img38.png"
SRC="img41.png"
ALT="\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
@@ -92,7 +92,7 @@ nrm2 \leftarrow \sqrt{x^H x}
<IMG
WIDTH="108" HEIGHT="24" BORDER="0"
SRC="img39.png"
SRC="img42.png"
ALT="\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
@@ -100,7 +100,7 @@ nrm2 \leftarrow \sqrt{x^H x}
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1984"></A>
<DIV ALIGN="CENTER"><A NAME="2016"></A>
<TABLE>
<CAPTION><STRONG>Table 8:</STRONG>
Data types</CAPTION>
@@ -109,7 +109,7 @@ Data types</CAPTION>
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img40.png"
SRC="img43.png"
ALT="$nrm2$"></SPAN></TD>
<TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
@@ -142,8 +142,8 @@ Data types</CAPTION>
<P>
<PRE>
psb_genrm2(x, desc_a, info)
psb_norm2(x, desc_a, info)
psb_genrm2(x, desc_a, info [,global])
psb_norm2(x, desc_a, info [,global])
</PRE>
<P>
@@ -182,6 +182,20 @@ Type: <B>required</B>
Intent: <B>in</B>.
<BR>
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>global</STRONG></DT>
<DD>Specifies whether the computation should include the
global reduction across all processes.
<BR>
Scope: <B>global</B>
<BR>
Type: <B>optional</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a logical scalar.
Default: <code>global=.true.</code>
<BR>
<P>
</DD>
@@ -194,7 +208,8 @@ Specified as: an object of type descdata<TT>psb_desc_type</TT>.
SRC="img20.png"
ALT="$x$"></SPAN>.
<BR>
Scope: <B>global</B>
Scope: <B>global</B> unless the optional variable
<code>global=.false.</code> as been specified
<BR>
Type: <B>required</B>
<BR>
@@ -213,30 +228,55 @@ An integer value; 0 means no error has been detected.
</DD>
</DL>
<P>
<BIG CLASS="LARGE"><B>Notes</B></BIG>
<OL>
<LI>The computation of a global result requires a global
communication, which entails a significant overhead. It may be
necessary and/or advisable to compute multiple norms at the same
time; in this case, it is possible to improve the runtime efficiency
by using the following scheme:
<BR>
<IMG
WIDTH="481" HEIGHT="73" ALIGN="BOTTOM" BORDER="0"
SRC="img44.png"
ALT="\begin{lstlisting}
vres(1) = psb_genrm2(x1,desc_a,info,global=.false.)
vres(2)...
...x3,desc_a,info,global=.false.)
call psb_nrm2(ictxt,vres(1:3))
\end{lstlisting}">
<BR>
In this way the global communication, which for small sizes is a
latency-bound operation, is invoked only once.
</LI>
</OL>
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