<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) --> <HTML> <HEAD> <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"> <META NAME="Generator" CONTENT="LaTeX2HTML v2018"> <META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css"> <LINK REL="STYLESHEET" HREF="userhtml.css"> <LINK REL="next" HREF="node68.html"> <LINK REL="previous" HREF="node66.html"> <LINK REL="up" HREF="node66.html"> <LINK REL="next" HREF="node68.html"> </HEAD> <BODY > <DIV CLASS="navigation"><!--Navigation Panel--> <A NAME="tex2html1081" HREF="node68.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <A NAME="tex2html1077" HREF="node66.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A> <A NAME="tex2html1071" HREF="node66.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A> <A NAME="tex2html1079" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html1082" HREF="node68.html">psb_ovrl Overlap</A> <B> Up:</B> <A NAME="tex2html1078" HREF="node66.html">Communication routines</A> <B> Previous:</B> <A NAME="tex2html1072" HREF="node66.html">Communication routines</A> <B> <A NAME="tex2html1080" HREF="node1.html">Contents</A></B> <BR> <BR></DIV> <!--End of Navigation Panel--> <H2><A NAME="SECTION00061000000000000000"> psb_halo -- Halo Data Communication</A> </H2> <P> These subroutines gathers the values of the halo elements: <P> <BR><P></P> <DIV ALIGN="CENTER" CLASS="mathdisplay"> <!-- MATH \begin{displaymath} x \leftarrow x \end{displaymath} --> <IMG WIDTH="43" HEIGHT="24" BORDER="0" SRC="img59.png" ALT="\begin{displaymath}x \leftarrow x \end{displaymath}"> </DIV> <BR CLEAR="ALL"> <P></P> where: <DL> <DT><STRONG><SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN></STRONG></DT> <DD>is a global dense submatrix. </DD> </DL> <P> <BR><P></P> <DIV ALIGN="CENTER"><A NAME="3467"></A> <TABLE> <CAPTION><STRONG>Table 14:</STRONG> Data types</CAPTION> <TR><TD> <DIV ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER"> <TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img22.png" ALT="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN></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_halo</TD> </TR> <TR><TD ALIGN="LEFT">Long Precision Real</TD> <TD ALIGN="LEFT">psb_halo</TD> </TR> <TR><TD ALIGN="LEFT">Short Precision Complex</TD> <TD ALIGN="LEFT">psb_halo</TD> </TR> <TR><TD ALIGN="LEFT">Long Precision Complex</TD> <TD ALIGN="LEFT">psb_halo</TD> </TR> </TABLE> </DIV> </TD></TR> </TABLE> </DIV><P></P> <BR> <P> <BR> <IMG WIDTH="394" HEIGHT="35" ALIGN="BOTTOM" BORDER="0" SRC="img60.png" ALT="\begin{lstlisting} call psb_halo(x, desc_a, info) call psb_halo(x, desc_a, info, work, data) \end{lstlisting}"> <BR> <P> <DL> <DT><STRONG>Type:</STRONG></DT> <DD>Synchronous. </DD> <DT><STRONG><B>On Entry</B></STRONG></DT> <DD> </DD> <DT><STRONG>x</STRONG></DT> <DD>global dense matrix <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN>. <BR> Scope: <B>local</B> <BR> Type: <B>required</B> <BR> Intent: <B>inout</B>. <BR> Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> containing numbers of type specified in Table <A HREF="#tab:f90halo">14</A>. </DD> <DT><STRONG>desc_a</STRONG></DT> <DD>contains data structures for communications. <BR> Scope: <B>local</B> <BR> Type: <B>required</B> <BR> Intent: <B>in</B>. <BR> Specified as: a structured data of type descdata<TT>psb_desc_type</TT>. </DD> <DT><STRONG>work</STRONG></DT> <DD>the work array. <BR> Scope: <B>local</B> <BR> Type: <B>optional</B> <BR> Intent: <B>inout</B>. <BR> Specified as: a rank one array of the same type of <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN>. </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> <DT><STRONG><B>On Return</B></STRONG></DT> <DD> </DD> <DT><STRONG>x</STRONG></DT> <DD>global dense result matrix <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN>. <BR> Scope: <B>local</B> <BR> Type: <B>required</B> <BR> Intent: <B>inout</B>. <BR> Returned as: a rank one or two array containing numbers of type specified in Table <A HREF="#tab:f90halo">14</A>. </DD> <DT><STRONG>info</STRONG></DT> <DD>the local portion of result submatrix <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></SPAN>. <BR> Scope: <B>local</B> <BR> Type: <B>required</B> <BR> Intent: <B>out</B>. <BR> An integer value that contains an error code. </DD> </DL> <DIV ALIGN="CENTER"><A NAME="fig:try8x8"></A><A NAME="3468"></A> <TABLE> <CAPTION ALIGN="BOTTOM"><STRONG>Figure 7:</STRONG> Sample discretization mesh.</CAPTION> <TR><TD> <DIV ALIGN="CENTER"> <IMG WIDTH="357" HEIGHT="313" ALIGN="BOTTOM" BORDER="0" SRC="img61.png" ALT="\includegraphics[scale=0.45]{figures/try8x8.eps}"> <IMG WIDTH="357" HEIGHT="313" ALIGN="BOTTOM" BORDER="0" SRC="img62.png" ALT="\includegraphics[scale=0.45]{figures/try8x8}"> </DIV></TD></TR> </TABLE> </DIV> <P> <BIG CLASS="LARGE"><B>Usage Example</B></BIG> Consider the discretization mesh depicted in fig. <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 <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN> vector, and process 1 assigns a value of 2, then after a 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"> <TR><TD ALIGN="CENTER" COLSPAN=3><SMALL CLASS="SMALL"> <SPAN>Process 0</SPAN></SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="CENTER" COLSPAN=3><SMALL CLASS="SMALL"> <SPAN>Process 1</SPAN></SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> I </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> GLOB(I) </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> X(I) </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> I </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> GLOB(I) </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> X(I) </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 33 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 34 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 3 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 3 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 3 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 35 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 4 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 4 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 4 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 36 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 5 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 5 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 5 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 37 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 6 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 6 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 6 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 38 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 7 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 7 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 7 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 39 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 8 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 8 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 8 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 40 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 9 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 9 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 9 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 41 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 10 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 10 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 10 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 42 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 11 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 11 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 11 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 43 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 12 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 12 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 12 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 44 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 13 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 13 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 13 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 45 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 14 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 14 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 14 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 46 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 15 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 15 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 15 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 47 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 16 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 16 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 16 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 48 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 17 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 17 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 17 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 49 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 18 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 18 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 18 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 50 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 19 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 19 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 19 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 51 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 20 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 20 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 20 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 52 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 21 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 21 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 21 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 53 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 22 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 22 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 22 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 54 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 23 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 23 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 23 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 55 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 24 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 24 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 24 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 56 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 25 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 25 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 25 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 57 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 26 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 26 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 26 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 58 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 27 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 27 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 27 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 59 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 28 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 28 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 28 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 60 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 29 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 29 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 29 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 61 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 30 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 30 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 30 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 62 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 31 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 31 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 31 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 63 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 32 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 32 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 32 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 64 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 33 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 33 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 33 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 25 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 34 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 34 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 34 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 26 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 35 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 35 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 35 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 27 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 36 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 36 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 36 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 28 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 37 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 37 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 37 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 29 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 38 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 38 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 38 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 30 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 39 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 39 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 39 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 31 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> <TR><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 40 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 40 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 2.0 </SMALL></TD> <TD ALIGN="LEFT"> </TD><TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 40 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 32 </SMALL></TD> <TD ALIGN="RIGHT"><SMALL CLASS="SMALL"> 1.0 </SMALL></TD> </TR> </TABLE></DIV> <BR> <P> <DIV CLASS="navigation"><HR> <!--Navigation Panel--> <A NAME="tex2html1081" HREF="node68.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <A NAME="tex2html1077" HREF="node66.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A> <A NAME="tex2html1071" HREF="node66.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A> <A NAME="tex2html1079" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html1082" HREF="node68.html">psb_ovrl Overlap</A> <B> Up:</B> <A NAME="tex2html1078" HREF="node66.html">Communication routines</A> <B> Previous:</B> <A NAME="tex2html1072" HREF="node66.html">Communication routines</A> 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