You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
198 lines
6.4 KiB
HTML
198 lines
6.4 KiB
HTML
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
|
|
|
|
<!--Converted with LaTeX2HTML 2008 (1.71)
|
|
original version by: Nikos Drakos, CBLU, University of Leeds
|
|
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
|
|
* with significant contributions from:
|
|
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
|
|
<HTML>
|
|
<HEAD>
|
|
<TITLE>Sparse Matrix class</TITLE>
|
|
<META NAME="description" CONTENT="Sparse Matrix class">
|
|
<META NAME="keywords" CONTENT="userhtml">
|
|
<META NAME="resource-type" CONTENT="document">
|
|
<META NAME="distribution" CONTENT="global">
|
|
|
|
<META NAME="Generator" CONTENT="LaTeX2HTML v2008">
|
|
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
|
|
|
|
<LINK REL="STYLESHEET" HREF="userhtml.css">
|
|
|
|
<LINK REL="next" HREF="node29.html">
|
|
<LINK REL="previous" HREF="node15.html">
|
|
<LINK REL="up" HREF="node8.html">
|
|
<LINK REL="next" HREF="node20.html">
|
|
</HEAD>
|
|
|
|
<BODY >
|
|
<!--Navigation Panel-->
|
|
<A NAME="tex2html432"
|
|
HREF="node20.html">
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
<A NAME="tex2html428"
|
|
HREF="node8.html">
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
<A NAME="tex2html422"
|
|
HREF="node18.html">
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
<A NAME="tex2html430"
|
|
HREF="node1.html">
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
<BR>
|
|
<B> Next:</B> <A NAME="tex2html433"
|
|
HREF="node20.html">Methods</A>
|
|
<B> Up:</B> <A NAME="tex2html429"
|
|
HREF="node8.html">Data Structures and Classes</A>
|
|
<B> Previous:</B> <A NAME="tex2html423"
|
|
HREF="node18.html">Named Constants</A>
|
|
<B> <A NAME="tex2html431"
|
|
HREF="node1.html">Contents</A></B>
|
|
<BR>
|
|
<BR>
|
|
<!--End of Navigation Panel-->
|
|
|
|
<H2><A NAME="SECTION00043000000000000000"></A>
|
|
<A NAME="sec:spmat"></A>
|
|
<BR>
|
|
Sparse Matrix class
|
|
</H2>
|
|
The spdata<TT>psb_Tspmat_type</TT> class
|
|
contains all information about the local portion of the sparse matrix and
|
|
its storage mode. Its design is
|
|
based on the STATE design pattern [<A
|
|
HREF="node118.html#DesignPatterns">13</A>] as detailed
|
|
in [<A
|
|
HREF="node118.html#Sparse03">11</A>]; the type declaration is shown in
|
|
figure <A HREF="#fig:spmattype">4</A> where <code>T</code> is a placeholder for the
|
|
data type and precision variants
|
|
<DL>
|
|
<DT><STRONG>S</STRONG></DT>
|
|
<DD>Single precision real;
|
|
</DD>
|
|
<DT><STRONG>D</STRONG></DT>
|
|
<DD>Double precision real;
|
|
</DD>
|
|
<DT><STRONG>C</STRONG></DT>
|
|
<DD>Single precision complex;
|
|
</DD>
|
|
<DT><STRONG>Z</STRONG></DT>
|
|
<DD>Double precision complex.
|
|
</DD>
|
|
</DL>
|
|
The actual data is contained in the polymorphic component <code>a%a</code>
|
|
of type spbasedata<TT>psb_T_base_sparse_mat</TT>; its
|
|
specific layout can be chosen dynamically among the predefined types,
|
|
or an entirely new storage layout can be implemented and passed to the
|
|
library at runtime via the <code>psb_spasb</code> routine.
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="fig:spmattype"></A><A NAME="721"></A>
|
|
<TABLE>
|
|
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 4:</STRONG>
|
|
The PSBLAS defined data type that
|
|
contains a sparse matrix.</CAPTION>
|
|
<TR><TD>
|
|
<BR>
|
|
|
|
<DIV ALIGN="CENTER">
|
|
<!-- MATH
|
|
$\fbox{\TheSbox}$
|
|
-->
|
|
<IMG
|
|
WIDTH="535" HEIGHT="218" ALIGN="MIDDLE" BORDER="0"
|
|
SRC="img20.png"
|
|
ALT="\fbox{\TheSbox}">
|
|
</DIV></TD></TR>
|
|
</TABLE>
|
|
</DIV>
|
|
The following very common formats are precompiled in PSBLAS and thus
|
|
are always available:
|
|
<DL>
|
|
<DT><STRONG>psb_T_coo_sparse_mat</STRONG></DT>
|
|
<DD>Coordinate storage;
|
|
</DD>
|
|
<DT><STRONG>psb_T_csr_sparse_mat</STRONG></DT>
|
|
<DD>Compressed storage by rows;
|
|
</DD>
|
|
<DT><STRONG>psb_T_csc_sparse_mat</STRONG></DT>
|
|
<DD>Compressed storage by columns;
|
|
</DD>
|
|
</DL>
|
|
The inner sparse matrix has an associated state, which can take the
|
|
following values:
|
|
<DL>
|
|
<DT><STRONG>Build:</STRONG></DT>
|
|
<DD>State entered after the first allocation, and before the
|
|
first assembly; in this state it is possible to add nonzero entries.
|
|
</DD>
|
|
<DT><STRONG>Assembled:</STRONG></DT>
|
|
<DD>State entered after the assembly; computations using
|
|
the sparse matrix, such as matrix-vector products, are only possible
|
|
in this state;
|
|
</DD>
|
|
<DT><STRONG>Update:</STRONG></DT>
|
|
<DD>State entered after a reinitalization; this is used to
|
|
handle applications in which the same sparsity pattern is used
|
|
multiple times with different coefficients. In this state it is only
|
|
possible to enter coefficients for already existing nonzero entries.
|
|
</DD>
|
|
</DL>
|
|
The only storage variant supporting the build state is COO; all other
|
|
variants are obtained by conversion to/from it.
|
|
|
|
<P>
|
|
<BR><HR>
|
|
<!--Table of Child-Links-->
|
|
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
|
|
|
|
<UL>
|
|
<LI><A NAME="tex2html434"
|
|
HREF="node20.html">Methods</A>
|
|
<LI><A NAME="tex2html435"
|
|
HREF="node21.html">get_nrows -- Get number of rows in a sparse matrix</A>
|
|
<LI><A NAME="tex2html436"
|
|
HREF="node22.html">get_ncols -- Get number of columns in a sparse matrix</A>
|
|
<LI><A NAME="tex2html437"
|
|
HREF="node23.html">get_nnzeros -- Get number of nonzero elements
|
|
in a sparse matrix</A>
|
|
<LI><A NAME="tex2html438"
|
|
HREF="node24.html">get_size -- Get maximum number of nonzero elements
|
|
in a sparse matrix</A>
|
|
<LI><A NAME="tex2html439"
|
|
HREF="node25.html">sizeof -- Get memory occupation in bytes
|
|
of a sparse matrix</A>
|
|
<LI><A NAME="tex2html440"
|
|
HREF="node26.html">get_fmt -- Short description of the dynamic type</A>
|
|
<LI><A NAME="tex2html441"
|
|
HREF="node27.html">is_bld, is_upd, is_asb -- Status check</A>
|
|
<LI><A NAME="tex2html442"
|
|
HREF="node28.html">Named Constants</A>
|
|
</UL>
|
|
<!--End of Table of Child-Links-->
|
|
<HR>
|
|
<!--Navigation Panel-->
|
|
<A NAME="tex2html432"
|
|
HREF="node20.html">
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
<A NAME="tex2html428"
|
|
HREF="node8.html">
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
<A NAME="tex2html422"
|
|
HREF="node18.html">
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
<A NAME="tex2html430"
|
|
HREF="node1.html">
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
<BR>
|
|
<B> Next:</B> <A NAME="tex2html433"
|
|
HREF="node20.html">Methods</A>
|
|
<B> Up:</B> <A NAME="tex2html429"
|
|
HREF="node8.html">Data Structures and Classes</A>
|
|
<B> Previous:</B> <A NAME="tex2html423"
|
|
HREF="node18.html">Named Constants</A>
|
|
<B> <A NAME="tex2html431"
|
|
HREF="node1.html">Contents</A></B>
|
|
<!--End of Navigation Panel-->
|
|
|
|
</BODY>
|
|
</HTML>
|