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original version by: Nikos Drakos, CBLU, University of Leeds
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<B> <A NAME="tex2html849"
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HREF="node1.html">Contents</A></B>
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<!--End of Navigation Panel-->
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<H2><A NAME="SECTION00062000000000000000">
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psb_ovrl -- Overlap Update</A>
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</H2>
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<P>
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These subroutines applies an overlap operator to the input vector:
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<P>
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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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x \leftarrow Q x
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\end{displaymath}
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-->
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<IMG
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WIDTH="55" HEIGHT="27" BORDER="0"
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SRC="img64.png"
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ALT="\begin{displaymath}x \leftarrow Q x \end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></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="img25.png"
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ALT="$x$"></STRONG></DT>
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<DD>is the global dense submatrix <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">
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</DD>
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<DT><STRONG><IMG
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WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img65.png"
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ALT="$Q$"></STRONG></DT>
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<DD>is the overlap operator; it is the composition of two
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operators <IMG
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WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img66.png"
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ALT="$ P_a$"> and <IMG
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WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img67.png"
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ALT="$ P^{T}$">.
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</DD>
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</DL>
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<P>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="2765"></A>
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<TABLE>
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<CAPTION><STRONG>Table 14:</STRONG>
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Data types</CAPTION>
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<TR><TD>
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<DIV ALIGN="CENTER">
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<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
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<TR><TD ALIGN="LEFT"><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"></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_ovrl</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_ovrl</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_ovrl</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_ovrl</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_ovrl(x, desc_a, info)
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call psb_ovrl(x, desc_a, info, update=update_type, work=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>x</STRONG></DT>
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<DD>global dense matrix <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.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>inout</B>.
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<BR>
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Specified as: a rank one or two array
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containing numbers of type specified in
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Table <A HREF="#tab:f90ovrl">14</A>.
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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>update</STRONG></DT>
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<DD>Update operator.
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<BR><DL>
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<DT><STRONG>update = psb_none_</STRONG></DT>
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<DD>Do nothing;
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</DD>
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<DT><STRONG>update = psb_add_</STRONG></DT>
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<DD>Sum overlap entries, i.e. apply <IMG
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WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img68.png"
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ALT="$P^T$">;
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</DD>
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<DT><STRONG>update = psb_avg_</STRONG></DT>
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<DD>Average overlap entries, i.e. apply <IMG
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WIDTH="45" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
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SRC="img69.png"
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ALT="$P_aP^T$">;
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</DD>
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</DL>
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Scope: <B>global</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Default: <!-- MATH
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$update\_type = psb\_avg\_$
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-->
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<IMG
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WIDTH="166" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img70.png"
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ALT="$update\_type = psb\_avg\_ $">
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<BR>
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Scope: <B>global</B>
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<BR>
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Specified as: a integer variable.
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</DD>
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<DT><STRONG>work</STRONG></DT>
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<DD>the work array.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>optional</B>
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<BR>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a one dimensional array of the same type of <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">.
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<P>
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</DD>
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<DT><STRONG><B>On Return</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>global dense result matrix <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$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>inout</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:f90ovrl">14</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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</DD>
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</DL>
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<P>
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<FONT SIZE="+1"><B>Notes</B></FONT>
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<OL>
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<LI>If there is no overlap in the data distribution associated with
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the descriptor, no operations are performed;
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</LI>
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<LI>The operator <IMG
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WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img67.png"
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ALT="$ P^{T}$"> performs the reduction sum of overlap
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elements; it is a ``prolongation'' operator <IMG
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WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img68.png"
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ALT="$P^T$"> that
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replicates overlap elements, accounting for the physical replication
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of data;
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</LI>
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<LI>The operator <IMG
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WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img66.png"
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ALT="$ P_a$"> performs a scaling on the overlap elements by
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the amount of replication; thus, when combined with the reduction
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operator, it implements the average of replicated elements over all of
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their instances.
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</LI>
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</OL>
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig:try8x8_ov"></A><A NAME="2767"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8:</STRONG>
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Sample discretization mesh.</CAPTION>
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<TR><TD>
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<DIV ALIGN="CENTER">
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<IMG
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WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
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SRC="img72.png"
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ALT="\includegraphics[scale=0.65]{figures/try8x8_ov.eps}">
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<!-- MATH
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$\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}$
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-->
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<IMG
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WIDTH="76" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
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SRC="img71.png"
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ALT="\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}">
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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<FONT SIZE="+1"><B>Example of use</B></FONT>
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Consider the discretization mesh depicted in fig. <A HREF="#fig:try8x8_ov">8</A>,
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partitioned among two processes as shown by the dashed lines, with an
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overlap of 1 extra layer with respect to the partition of
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fig. <A HREF="node51.html#fig:try8x8">7</A>; the data
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distribution is such that each process will own 40 entries in the
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index space, with an overlap of 16 entries placed at local indices 25
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through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries
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in the <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"> vector, and process 1 assigns a value of 2, then after a
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call to <code>psb_ovrl</code> with <code>psb_avg_</code> and a call to
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<code>psb_halo_</code> the contents of the local vectors will be the
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following (showing a transition among the two subdomains)
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<P>
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<BR>
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<DIV ALIGN="CENTER">
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<TABLE CELLPADDING=3 ALIGN="CENTER">
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<TR><TD ALIGN="CENTER" COLSPAN=3><FONT SIZE="-1">
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Process 0</FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="CENTER" COLSPAN=3><FONT SIZE="-1">
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Process 1</FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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I </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> GLOB(I) </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> X(I) </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> I </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> GLOB(I) </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> X(I) </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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1 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 1 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 33 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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2 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 2 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 34 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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3 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 3 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 3 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 35 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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4 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 4 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 4 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 36 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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5 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 5 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 5 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 37 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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6 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 6 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 6 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 38 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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7 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 7 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 7 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 39 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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8 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 8 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 8 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 40 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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9 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 9 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 9 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 41 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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10 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 10 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 10 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 42 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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11 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 11 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 11 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 43 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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12 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 12 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 12 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 44 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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13 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 13 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 13 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 45 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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14 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 14 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 14 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 46 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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15 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 15 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 15 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 47 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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16 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 16 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 16 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 48 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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17 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 17 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 17 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 49 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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18 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 18 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 18 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 50 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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19 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 19 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 19 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 51 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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20 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 20 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 20 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 52 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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21 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 21 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 21 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 53 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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22 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 22 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 22 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 54 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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23 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 23 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 23 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 55 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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24 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 24 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 24 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 56 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
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25 </FONT></TD>
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 25 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 25 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 57 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
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26 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 26 </FONT></TD>
|
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|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
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|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 26 </FONT></TD>
|
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|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 58 </FONT></TD>
|
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|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
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|
|
</TR>
|
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|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
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|
27 </FONT></TD>
|
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|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 27 </FONT></TD>
|
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|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
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|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 27 </FONT></TD>
|
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|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 59 </FONT></TD>
|
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|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
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|
</TR>
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<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
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28 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 28 </FONT></TD>
|
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|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
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<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 28 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 60 </FONT></TD>
|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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|
</TR>
|
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|
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|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
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29 </FONT></TD>
|
|
|
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|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 29 </FONT></TD>
|
|
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|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 29 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 61 </FONT></TD>
|
|
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|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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|
|
|
|
</TR>
|
|
|
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|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
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|
30 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 30 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 30 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 62 </FONT></TD>
|
|
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|
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<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
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|
31 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 31 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 31 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 63 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
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|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
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|
32 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 32 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 32 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 64 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
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|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
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|
33 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 33 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 33 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 25 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
34 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 34 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 34 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 26 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
35 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 35 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 35 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 27 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
36 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 36 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 36 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 28 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
37 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 37 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 37 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 29 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
38 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 38 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 38 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 30 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
39 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 39 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 39 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 31 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
40 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 40 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 40 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 32 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
41 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 41 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 41 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 17 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
42 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 42 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 42 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 18 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
43 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 43 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 43 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 19 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
44 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 44 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 44 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 20 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
45 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 45 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 45 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 21 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
46 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 46 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 46 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 22 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
47 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 47 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 47 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 23 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
|
|
|
|
|
48 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 48 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
|
|
|
|
|
<TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 48 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 24 </FONT></TD>
|
|
|
|
|
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
</TABLE></DIV>
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<BR>
|
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<P>
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<HR>
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<B> Next:</B> <A NAME="tex2html851"
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HREF="node53.html">psb_gather Gather</A>
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<B> Up:</B> <A NAME="tex2html847"
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HREF="node50.html">Communication routines</A>
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<B> Previous:</B> <A NAME="tex2html841"
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HREF="node51.html">psb_halo Halo</A>
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<B> <A NAME="tex2html849"
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HREF="node1.html">Contents</A></B>
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