base/modules/psb_desc_mod.F90
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 util/psb_d_genpde_impl.f90
 util/psb_s_genpde_impl.f90

Defined new get_global_indices() method for DESC.
Use it in GENPDE.
Update docs
This commit is contained in:
Salvatore Filippone
2015-07-16 10:02:47 +00:00
parent da035aae38
commit 410a52745f
260 changed files with 15581 additions and 15426 deletions
+148 -276
View File
@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<TITLE>psb_ovrl -- Overlap Update</TITLE>
<META NAME="description" CONTENT="psb_ovrl -- Overlap Update">
<TITLE>psb_halo -- Halo Data Communication</TITLE>
<META NAME="description" CONTENT="psb_halo -- Halo Data Communication">
<META NAME="keywords" CONTENT="userhtml">
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
@@ -20,112 +20,103 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<LINK REL="next" HREF="node64.html">
<LINK REL="previous" HREF="node62.html">
<LINK REL="up" HREF="node61.html">
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<BODY >
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&nbsp; <B> <A NAME="tex2html1013"
<B> Next:</B> <A NAME="tex2html1018"
HREF="node64.html">psb_ovrl Overlap</A>
<B> Up:</B> <A NAME="tex2html1014"
HREF="node62.html">Communication routines</A>
<B> Previous:</B> <A NAME="tex2html1008"
HREF="node62.html">Communication routines</A>
&nbsp; <B> <A NAME="tex2html1016"
HREF="node1.html">Contents</A></B>
<BR>
<BR>
<!--End of Navigation Panel-->
<H2><A NAME="SECTION00062000000000000000">
psb_ovrl -- Overlap Update</A>
<H2><A NAME="SECTION00061000000000000000">
psb_halo -- Halo Data Communication</A>
</H2>
<P>
These subroutines applies an overlap operator to the input vector:
These subroutines gathers the values of the halo
elements:
<P>
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
x \leftarrow Q x
x \leftarrow x
\end{displaymath}
-->
<IMG
WIDTH="55" HEIGHT="27" BORDER="0"
SRC="img60.png"
ALT="\begin{displaymath}x \leftarrow Q x \end{displaymath}">
WIDTH="43" HEIGHT="24" BORDER="0"
SRC="img55.png"
ALT="\begin{displaymath}x \leftarrow x \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
where:
<DL>
<DT><STRONG><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></STRONG></DT>
<DD>is the global dense submatrix <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">
</DD>
<DT><STRONG><IMG
WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img61.png"
ALT="$Q$"></STRONG></DT>
<DD>is the overlap operator; it is the composition of two
operators <IMG
WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img62.png"
ALT="$ P_a$"> and <IMG
WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img63.png"
ALT="$ P^{T}$">.
<DD>is a global dense submatrix.
</DD>
</DL>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="3208"></A>
<DIV ALIGN="CENTER"><A NAME="3234"></A>
<TABLE>
<CAPTION><STRONG>Table 15:</STRONG>
<CAPTION><STRONG>Table 14:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$">, <IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Integer</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
</TABLE>
</DIV>
@@ -137,13 +128,13 @@ Data types</CAPTION>
<P>
<BR>
<IMG
WIDTH="576" HEIGHT="35" ALIGN="BOTTOM" BORDER="0"
SRC="img64.png"
WIDTH="394" HEIGHT="35" ALIGN="BOTTOM" BORDER="0"
SRC="img56.png"
ALT="\begin{lstlisting}
call psb_ovrl(x, desc_a, info)
call psb_ovrl(x, desc_a, info, update=update_type, work=work)
call psb_halo(x, desc_a, info)
call psb_halo(x, desc_a, info, work, data)
\end{lstlisting}">
<BR>
<BR>
<P>
<DL>
@@ -155,7 +146,7 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>global dense matrix <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
@@ -167,7 +158,7 @@ Intent: <B>inout</B>.
<BR>
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90ovrl">15</A>.
Table&nbsp;<A HREF="#tab:f90halo">14</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -180,41 +171,6 @@ Intent: <B>in</B>.
<BR>
Specified as: a structured data of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>update</STRONG></DT>
<DD>Update operator.
<BR><DL>
<DT><STRONG>update = psb_none_</STRONG></DT>
<DD>Do nothing;
</DD>
<DT><STRONG>update = psb_add_</STRONG></DT>
<DD>Sum overlap entries, i.e. apply <IMG
WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img65.png"
ALT="$P^T$">;
</DD>
<DT><STRONG>update = psb_avg_</STRONG></DT>
<DD>Average overlap entries, i.e. apply <IMG
WIDTH="44" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
SRC="img66.png"
ALT="$P_aP^T$">;
</DD>
</DL>
Scope: <B>global</B>
<BR>
Intent: <B>in</B>.
<BR>
Default: <!-- MATH
$update\_type = psb\_avg\_$
-->
<IMG
WIDTH="166" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img67.png"
ALT="$update\_type = psb\_avg\_ $">
<BR>
Scope: <B>global</B>
<BR>
Specified as: a integer variable.
</DD>
<DT><STRONG>work</STRONG></DT>
<DD>the work array.
<BR>
@@ -224,10 +180,21 @@ Type: <B>optional</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a one dimensional array of the same type of <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
Specified as: a rank one array of the same type of <IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
ALT="$x$">.
</DD>
<DT><STRONG>data</STRONG></DT>
<DD>index list selector.
<BR>
Scope: <B>global</B>
<BR>
Type: <B>optional</B>
<BR>
Specified as: an integer. Values:<code>psb_comm_halo_</code>,<code>psb_comm_mov_</code>,
<code>psb_comm_ext_</code>, default: <code>psb_comm_halo_</code>. Chooses the
index list on which to base the data exchange.
<P>
</DD>
@@ -236,7 +203,7 @@ Specified as: a one dimensional array of the same type of <IMG
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>global dense result matrix <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
@@ -246,12 +213,15 @@ Type: <B>required</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: an array of rank one or two
Returned as: a rank one or two array
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90ovrl">15</A>.
Table&nbsp;<A HREF="#tab:f90halo">14</A>.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
<DD>the local portion of result submatrix <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$">.
<BR>
Scope: <B>local</B>
<BR>
@@ -259,80 +229,46 @@ Type: <B>required</B>
<BR>
Intent: <B>out</B>.
<BR>
An integer value; 0 means no error has been detected.
An integer value that contains an error code.
</DD>
</DL>
<P>
<FONT SIZE="+1"><B>Notes</B></FONT>
<OL>
<LI>If there is no overlap in the data distribution associated with
the descriptor, no operations are performed;
</LI>
<LI>The operator <IMG
WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img63.png"
ALT="$ P^{T}$"> performs the reduction sum of overlap
elements; it is a ``prolongation'' operator <IMG
WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img65.png"
ALT="$P^T$"> that
replicates overlap elements, accounting for the physical replication
of data;
</LI>
<LI>The operator <IMG
WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img62.png"
ALT="$ P_a$"> performs a scaling on the overlap elements by
the amount of replication; thus, when combined with the reduction
operator, it implements the average of replicated elements over all of
their instances.
</LI>
</OL>
<P>
<DIV ALIGN="CENTER"><A NAME="fig:try8x8_ov"></A><A NAME="3210"></A>
<DIV ALIGN="CENTER"><A NAME="fig:try8x8"></A><A NAME="3236"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8:</STRONG>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 7:</STRONG>
Sample discretization mesh.</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<IMG
WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
SRC="img69.png"
ALT="\includegraphics[scale=0.65]{figures/try8x8_ov.eps}">
WIDTH="357" HEIGHT="313" ALIGN="BOTTOM" BORDER="0"
SRC="img58.png"
ALT="\includegraphics[scale=0.45]{figures/try8x8.eps}">
<!-- MATH
$\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}$
$\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}$
-->
<IMG
WIDTH="76" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
SRC="img68.png"
ALT="\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}">
WIDTH="1" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
SRC="img57.png"
ALT="\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}">
</DIV></TD></TR>
</TABLE>
</DIV>
<FONT SIZE="+1"><B>Example of use</B></FONT>
Consider the discretization mesh depicted in fig.&nbsp;<A HREF="#fig:try8x8_ov">8</A>,
partitioned among two processes as shown by the dashed lines, with an
overlap of 1 extra layer with respect to the partition of
fig.&nbsp;<A HREF="node62.html#fig:try8x8">7</A>; the data
distribution is such that each process will own 40 entries in the
index space, with an overlap of 16 entries placed at local indices 25
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
<P>
<FONT SIZE="+1"><B>Usage Example</B></FONT>
Consider the discretization mesh depicted in fig.&nbsp;<A HREF="#fig:try8x8">7</A>,
partitioned among two processes as shown by the dashed line; the data
distribution is such that each process will own 32 entries in the
index space, with a halo made of 8 entries placed at local indices 33
through 40. If process 0 assigns an initial value of 1 to its entries
in the <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> vector, and process 1 assigns a value of 2, then after a
call to <code>psb_ovrl</code> with <code>psb_avg_</code> and a call to
<code>psb_halo_</code> the contents of the local vectors will be the
following (showing a transition among the two subdomains)
<P>
call to <code>psb_halo</code> the contents of the local vectors will be the
following:
<BR>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 ALIGN="CENTER">
@@ -355,7 +291,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 1 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 33 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
2 </FONT></TD>
@@ -363,7 +299,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 2 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 34 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
3 </FONT></TD>
@@ -371,7 +307,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 3 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 35 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
4 </FONT></TD>
@@ -379,7 +315,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 4 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 36 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
5 </FONT></TD>
@@ -387,7 +323,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 37 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
6 </FONT></TD>
@@ -395,7 +331,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 6 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 38 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
7 </FONT></TD>
@@ -403,7 +339,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 7 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 39 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
8 </FONT></TD>
@@ -411,7 +347,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 8 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 40 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
9 </FONT></TD>
@@ -510,7 +446,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
21 </FONT></TD>
21 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 21 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 21 </FONT></TD>
@@ -518,7 +454,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
22 </FONT></TD>
22 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 22 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 22 </FONT></TD>
@@ -526,7 +462,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
23 </FONT></TD>
23 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 23 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 23 </FONT></TD>
@@ -534,7 +470,7 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
24 </FONT></TD>
24 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 24 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 24 </FONT></TD>
@@ -542,195 +478,131 @@ Process 1</FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
25 </FONT></TD>
25 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 25 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 25 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 57 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
26 </FONT></TD>
26 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 26 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 26 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 58 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
27 </FONT></TD>
27 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 27 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 27 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 59 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
28 </FONT></TD>
28 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 28 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 28 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 60 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
29 </FONT></TD>
29 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 29 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 29 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 61 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
30 </FONT></TD>
30 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 30 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1"> 30 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 62 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
31 </FONT></TD>
31 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 31 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
32 </FONT></TD>
32 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 32 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
33 </FONT></TD>
33 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 33 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
34 </FONT></TD>
34 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 34 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
35 </FONT></TD>
35 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 35 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
36 </FONT></TD>
36 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 36 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
37 </FONT></TD>
37 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 37 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
38 </FONT></TD>
38 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 38 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
39 </FONT></TD>
39 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 39 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">
40 </FONT></TD>
40 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 40 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 1.5 </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> 2.0 </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</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">&nbsp;</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">&nbsp;</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">&nbsp;</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">&nbsp;</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">&nbsp;</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">&nbsp;</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">&nbsp;</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">&nbsp;</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>
@@ -739,26 +611,26 @@ Process 1</FONT></TD>
<P>
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