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Started playing around with type extensions and typebound
procedures. Merged performance fixes from trunk.
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+10
-10
@@ -67,7 +67,7 @@ pattern. As an example, consider a cell-centered finite-volume
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discretization of the Navier-Stokes equations on a simulation domain;
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the index space <IMG
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WIDTH="45" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img12.png"
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SRC="img14.png"
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ALT="$1\dots n$"> is isomorphic to the set of cell centers,
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whereas the pattern of the associated linear system matrix is
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isomorphic to the adjacency graph imposed on the discretization mesh
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@@ -78,7 +78,7 @@ Thus the first order of business is to establish an index space, and
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this is done with a call to <code>psb_cdall</code> in which we specify the
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size of the index space <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img13.png"
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SRC="img15.png"
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ALT="$n$"> and the allocation of the elements of the
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index space to the various processes making up the MPI (virtual)
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parallel machine.
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@@ -87,22 +87,22 @@ parallel machine.
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The index space is partitioned among processes, and this creates a
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mapping from the ``global'' numbering <IMG
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WIDTH="45" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img12.png"
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SRC="img14.png"
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ALT="$1\dots n$"> to a numbering
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``local'' to each process; each process <IMG
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WIDTH="10" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
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SRC="img3.png"
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SRC="img4.png"
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ALT="$i$"> will own a certain subset
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<!-- MATH
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$1\dots n_{\hbox{row}_i}$
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-->
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<IMG
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WIDTH="76" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img14.png"
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SRC="img16.png"
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ALT="$1\dots n_{\hbox{row}_i}$">, each element of which corresponds to a certain
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element of <IMG
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WIDTH="45" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img12.png"
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SRC="img14.png"
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ALT="$1\dots n$">. The user does not set explicitly this mapping;
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when the application needs to indicate to which element of the index
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space a certain item is related, such as the row and column index of a
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@@ -112,7 +112,7 @@ library will translate into the appropriate ``local'' numbering.
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<P>
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For a given index space <IMG
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WIDTH="45" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img12.png"
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SRC="img14.png"
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ALT="$1\dots n$"> there are many possible associated
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topologies, i.e. many different discretization stencils; thus the
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description of the index space is not completed until the user has
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@@ -121,7 +121,7 @@ or implicitly through <code>psb_spins</code>. The descriptor is finalized
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with a call to <code>psb_cdasb</code> and a sparse matrix with a call to
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<code>psb_spasb</code>. After <code>psb_cdasb</code> each process <IMG
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WIDTH="10" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
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SRC="img3.png"
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SRC="img4.png"
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ALT="$i$"> will have
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defined a set of ``halo'' (or ``ghost'') indices
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<!-- MATH
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@@ -129,11 +129,11 @@ defined a set of ``halo'' (or ``ghost'') indices
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-->
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<IMG
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WIDTH="131" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img15.png"
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SRC="img17.png"
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ALT="$n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$">, denoting elements of the index
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space that are <I>not</I> assigned to process <IMG
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WIDTH="10" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
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SRC="img3.png"
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SRC="img4.png"
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ALT="$i$">; however the
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variables associated with them are needed to complete computations
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associated with the sparse matrix <IMG
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