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<H2><A NAME="SECTION00078000000000000000">
psb_spins -- Insert a set of coefficients into a sparse
  matrix</A>
</H2>

<P>
<PRE>
call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local])
</PRE>

<P>
<DL>
<DT><STRONG>Type:</STRONG></DT>
<DD>Asynchronous.
</DD>
<DT><STRONG><B>On Entry</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>nz</STRONG></DT>
<DD>the number of coefficients to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer scalar.
</DD>
<DT><STRONG>nr</STRONG></DT>
<DD>the number of rows to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer scalar.
</DD>
<DT><STRONG>irw</STRONG></DT>
<DD>the first  row to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer scalar.
</DD>
<DT><STRONG>ia</STRONG></DT>
<DD>the row indices of the coefficients to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer array of size <SPAN CLASS="MATH"><IMG
 WIDTH="22" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img105.png"
 ALT="$nz$"></SPAN>.
</DD>
<DT><STRONG>irp</STRONG></DT>
<DD>the row pointers of the coefficients to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer array of size <SPAN CLASS="MATH"></SPAN>.
</DD>
<DT><STRONG>ja</STRONG></DT>
<DD>the column indices of the coefficients to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer array of size <SPAN CLASS="MATH"><IMG
 WIDTH="22" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img105.png"
 ALT="$nz$"></SPAN>.
</DD>
<DT><STRONG>val</STRONG></DT>
<DD>the coefficients to be inserted.
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>required</B>.
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an array of size <SPAN CLASS="MATH"><IMG
 WIDTH="22" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img105.png"
 ALT="$nz$"></SPAN>. Must be of the same type and kind
of the coefficients  of the sparse matrix <SPAN CLASS="MATH"><IMG
 WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img109.png"
 ALT="$a$"></SPAN>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>The communication descriptor.
<BR>
Scope: <B>local</B>. 
<BR>
Type: <B>required</B>.
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a variable of type descdata<TT>psb_desc_type</TT>.
<BR></DD>
<DT><STRONG>local</STRONG></DT>
<DD>Whether the entries in the indices vectors <code>ia</code>,
  <code>ja</code> are already in local  numbering. 
<BR>
Scope:<B>local</B>.
<BR>
Type:<B>optional</B>.
<BR>
Specified as: a logical value; default: <code>.false.</code>.

<P>
</DD>
</DL>

<P>
<DL>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>a</STRONG></DT>
<DD>the matrix into which coefficients will be inserted.
<BR>
Scope:<B>local</B>
<BR>
Type:<B>required</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a structured data of type spdata<TT>psb_Tspmat_type</TT>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>The communication descriptor.
<BR>
Scope: <B>local</B>. 
<BR>
Type: <B>required</B>.
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a variable of type descdata<TT>psb_desc_type</TT>.
<BR></DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B> 
<BR>
Intent: <B>out</B>.
<BR>
An integer value; 0 means no error has been detected. 
</DD>
</DL>

<P>
<BIG CLASS="LARGE"><B>Notes</B></BIG>

<OL>
<LI>On entry to this routine the descriptor may be in either the
  build or assembled state.
</LI>
<LI>On entry to this routine the sparse matrix may be in either the
  build or update state. 
</LI>
<LI>If the descriptor is in the build state, then the sparse matrix
  must also be in the build state; the action of the routine is to
  (implicitly) call <code>psb_cdins</code> to add entries to the sparsity
  pattern; each sparse matrix entry implicitly defines a graph edge,
  that is passed to the descriptor routine for the appropriate
  processing;
</LI>
<LI>The input data can be passed in either COO or CSR formats;
</LI>
<LI>In COO format the coefficients to be inserted are represented by
  the ordered   triples <!-- MATH
 $ia(i),ja(i),val(i)$
 -->
<SPAN CLASS="MATH"><IMG
 WIDTH="124" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="img110.png"
 ALT="$ia(i),ja(i),val(i)$"></SPAN>, for <SPAN CLASS="MATH"><IMG
 WIDTH="91" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="img111.png"
 ALT="$i=1,\dots,nz$"></SPAN>;
  these triples  should belong to the current process, i.e. <SPAN CLASS="MATH"><IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="img103.png"
 ALT="$ia(i)$"></SPAN>
  should be one of  the local indices, but are otherwise arbitrary;
</LI>
<LI>In CSR format the coefficients to be inserted for each input row <SPAN CLASS="MATH"></SPAN>
  are represented by the ordered triples <!-- MATH
 $(i+irw-1),ja(j),val(j)$
 -->
<SPAN CLASS="MATH"></SPAN>, for
  <!-- MATH
 $j=irp(i),\dots,irp(i+1)-1$
 -->
<SPAN CLASS="MATH"></SPAN>; 
  these triples  should belong to the current process, i.e. <SPAN CLASS="MATH"></SPAN>
  should be one of  the local indices, but are otherwise arbitrary;  
</LI>
<LI>There is no   requirement that a given row must be passed in its
  entirety to a   single call to this routine: the buildup of a row
  may be split into   as many calls as desired (even in the CSR format); 
</LI>
<LI>Coefficients from different rows may also be mixed up freely
  in a single call, according to the application needs; 
</LI>
<LI>Any coefficients from matrix rows not owned by the calling
  process are silently ignored;
</LI>
<LI>If the descriptor is in the assembled state, then any entries in
  the sparse matrix that would generate additional communication
  requirements are  ignored; 
</LI>
<LI>If the matrix is in the update state, any entries in positions
  that were not present in the original matrix are ignored. 
</LI>
</OL>

<P>

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