From 90397b713ab17212f9d86107663f10c4431a9259 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 27 May 2010 09:16:21 +0000 Subject: [PATCH] psblas3: updated doc on psb_cdall. --- docs/html/footnode.html | 2 +- docs/html/img100.png | Bin 341 -> 227 bytes docs/html/img101.png | Bin 258 -> 341 bytes docs/html/img102.png | Bin 193 -> 258 bytes docs/html/img103.png | Bin 134 -> 193 bytes docs/html/img104.png | Bin 255 -> 134 bytes docs/html/img105.png | Bin 387 -> 255 bytes docs/html/img106.png | Bin 263 -> 387 bytes docs/html/img107.png | Bin 244 -> 263 bytes docs/html/img108.png | Bin 276 -> 244 bytes docs/html/img109.png | Bin 374 -> 276 bytes docs/html/img110.png | Bin 222 -> 374 bytes docs/html/img111.png | Bin 259 -> 222 bytes docs/html/img112.png | Bin 804 -> 259 bytes docs/html/img113.png | Bin 408 -> 804 bytes docs/html/img114.png | Bin 419 -> 408 bytes docs/html/img115.png | Bin 354 -> 419 bytes docs/html/img116.png | Bin 310 -> 354 bytes docs/html/img117.png | Bin 835 -> 310 bytes docs/html/img118.png | Bin 335 -> 835 bytes docs/html/img119.png | Bin 497 -> 335 bytes docs/html/img120.png | Bin 403 -> 497 bytes docs/html/img121.png | Bin 266 -> 403 bytes docs/html/img122.png | Bin 533 -> 266 bytes docs/html/img123.png | Bin 544 -> 533 bytes docs/html/img124.png | Bin 334 -> 544 bytes docs/html/img125.png | Bin 231 -> 334 bytes docs/html/img126.png | Bin 519 -> 231 bytes docs/html/img127.png | Bin 604 -> 519 bytes docs/html/img128.png | Bin 577 -> 604 bytes docs/html/img129.png | Bin 210 -> 577 bytes docs/html/img130.png | Bin 568 -> 210 bytes docs/html/img131.png | Bin 743 -> 568 bytes docs/html/img132.png | Bin 276 -> 743 bytes docs/html/img133.png | Bin 521 -> 276 bytes docs/html/img134.png | Bin 267 -> 521 bytes docs/html/img135.png | Bin 570 -> 267 bytes docs/html/img136.png | Bin 239 -> 570 bytes docs/html/img137.png | Bin 0 -> 239 bytes docs/html/img139.png | Bin 371 -> 0 bytes docs/html/img140.png | Bin 431 -> 371 bytes docs/html/img141.png | Bin 916 -> 431 bytes docs/html/img142.png | Bin 676 -> 916 bytes docs/html/img143.png | Bin 234 -> 676 bytes docs/html/img144.png | Bin 430 -> 234 bytes docs/html/img145.png | Bin 500 -> 430 bytes docs/html/img146.png | Bin 412 -> 500 bytes docs/html/img147.png | Bin 356 -> 412 bytes docs/html/img148.png | Bin 379 -> 356 bytes docs/html/img149.png | Bin 288 -> 379 bytes docs/html/img91.png | Bin 573 -> 425 bytes docs/html/img92.png | Bin 318 -> 573 bytes docs/html/img93.png | Bin 459 -> 318 bytes docs/html/img94.png | Bin 395 -> 459 bytes docs/html/img95.png | Bin 286 -> 395 bytes docs/html/img96.png | Bin 415 -> 286 bytes docs/html/img97.png | Bin 186 -> 415 bytes docs/html/img98.png | Bin 375 -> 186 bytes docs/html/img99.png | Bin 227 -> 375 bytes docs/html/node104.html | 20 +- docs/html/node106.html | 2 +- docs/html/node43.html | 97 ++- docs/html/node44.html | 4 +- docs/html/node48.html | 2 +- docs/html/node49.html | 2 +- docs/html/node50.html | 8 +- docs/html/node54.html | 4 +- docs/html/node55.html | 6 +- docs/html/node58.html | 4 +- docs/html/node67.html | 12 +- docs/html/node69.html | 26 +- docs/html/node71.html | 4 +- docs/html/node72.html | 6 +- docs/html/node73.html | 2 +- docs/html/node75.html | 6 +- docs/html/node79.html | 2 +- docs/html/node80.html | 2 +- docs/html/node81.html | 2 +- docs/html/node82.html | 2 +- docs/html/node83.html | 2 +- docs/html/node84.html | 2 +- docs/html/node85.html | 12 +- docs/html/node86.html | 12 +- docs/html/node87.html | 4 +- docs/html/node99.html | 6 +- docs/psblas-3.0.pdf | 1816 +++++++++++++++++++-------------------- docs/src/toolsrout.tex | 56 +- 87 files changed, 1066 insertions(+), 1059 deletions(-) diff --git a/docs/html/footnode.html b/docs/html/footnode.html index c056e778..7a25fc58 100644 --- a/docs/html/footnode.html +++ b/docs/html/footnode.html @@ -104,7 +104,7 @@ sample scatter/gather routines. . -
... follows... follows3
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@@ -89,7 +89,7 @@ err = \frac{\|r_i\|}{\|b\|_2} < eps \begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath}
@@ -97,11 +97,11 @@ err = \frac{\|r_i\|}{\|b\|_2} < eps according to the value passed through the istop argument (see later). In the above formulae, $x_i$ is the tentative solution and $r_i=b-Ax_i$ the corresponding residual at the in.
Default: $itmax = 1000$.
Specified as: an integer variable $itmax \ge 1$.

itrace
If $>0$ print out an informational message about convergence every $itrace$ iterations.
Scope: global @@ -268,7 +268,7 @@ Intent: in.
Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES methods, otherwise it is ignored. @@ -329,7 +329,7 @@ Returned as: a real number. ALT="$A$">; only available with the $CG$ method.
Scope: global diff --git a/docs/html/node106.html b/docs/html/node106.html index 0ab38ea4..b41c0584 100644 --- a/docs/html/node106.html +++ b/docs/html/node106.html @@ -63,7 +63,7 @@ Mathematics Department, Macquarie University, Sydney. The command line arguments were:
latex2html -local_icons -noaddress -dir ../../html userhtml.tex

-The translation was initiated by on 2010-05-26 +The translation was initiated by on 2010-05-27

diff --git a/docs/html/node43.html b/docs/html/node43.html index a94adadf..e4dc76e7 100644 --- a/docs/html/node43.html +++ b/docs/html/node43.html @@ -58,8 +58,8 @@ psb_cdall -- Allocates a communication descriptor 

 call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)
-call psb_cdall(icontxt, desc_a, info,vg=vg,flag=flag)
-call psb_cdall(icontxt, desc_a, info,vl=vl,nl=nl,globalcheck=.true.)
+call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])
+call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.true.])
 call psb_cdall(icontxt, desc_a, info,nl=nl)
 call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
@@ -153,8 +153,11 @@ Type:required. Specified as: a subroutine.
vl
-
Data allocation: the set of global indices belonging to the - calling process. +
Data allocation: the set of global indices + $vl(1:nl)$ belonging to the calling process.
Scope:local.
@@ -283,10 +286,10 @@ An integer value; 0 means no error has been detected. --> $0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple processes, i.e. we have an overlap among the subdomains. @@ -295,60 +298,70 @@ An integer value; 0 means no error has been detected.
vg
In this case the association between an index and a process - is specified via an integer vector; the size of the index space is - equal to the size of vg, and each index $i$ is assigned to - the process vg(1:mg); + each index +$i\in \{1\dots mg\}$ is assigned to process $vg(i)$. The vector vg must be identical on all + ALT="$vg(i)$">. + The vector vg must be identical on all calling processes; its entries may have the ranges $(0\dots np-1)$ or $(1\dots np)$ according to the value of flag. Optionally, - the user may specify mg, in - which case the portion vg(1:mg) is used. + SRC="img95.png" + ALT="$(1\dots np)$"> according to the value of flag. + The size $mg$ may be specified via the optional argument mg; + the default is to use the entire vector vg, thus having + mg=size(vg).
vl
-
In this case we are specifying the list of indices assigned - to the current process; thus, the global problem size In this case we are specifying the list of indices + vl(1:nl) assigned to the current process; thus, the global + problem size $mg$ is given by + SRC="img96.png" + ALT="$mg$"> is given by the range of the aggregate of the individual vectors vl specified - in the calling processes. If globalcheck=.true. - the subroutine will check how many times each entry in the global - index space nl; the default is to use the entire vector vl, thus having + nl=size(vl). + If globalcheck=.true. the subroutine will check how many + times each entry in the global index space $(1\dots mg)$ is specified in the input lists - vl, thus allowing for the presence of overlap in the input, - and checking for ``orphan'' indices. - If globalcheck=.false., the subroutine will not check for - overlap, and may be substantially faster, but - the user is implicitly guaranteeing that there are neither orphan - nor overlap indices. Optionally, the user may specify nl, in - which case the portion vl(1:nl) is used. + SRC="img97.png" + ALT="$(1\dots mg)$"> is + specified in the input lists vl, thus allowing for the + presence of overlap in the input, and checking for ``orphan'' + indices. If globalcheck=.false., the subroutine will not + check for overlap, and may be significantly faster, but the user + is implicitly guaranteeing that there are neither orphan nor + overlap indices.
nl
-
In this case we are implying a generalized row-block - distribution in which each process If this argument is specified alone (i.e. without vl) + the result is a generalized row-block distribution in which each + process $I$ gets assigned a consecutive - chunk of $N_I=nl$ global indices. + ALT="$I$"> gets assigned a consecutive chunk of $N_I=nl$ global + indices.
repl
-
In this case we are asking to replicate all indices on +
This arguments specifies to replicate all indices on all processes. This is a special purpose data allocation that is useful in the construction of some multilevel preconditioners.
diff --git a/docs/html/node44.html b/docs/html/node44.html index f601b82c..2fefbd64 100644 --- a/docs/html/node44.html +++ b/docs/html/node44.html @@ -96,7 +96,7 @@ Intent: in.
Specified as: an integer array of length $nz$.
ja
@@ -110,7 +110,7 @@ Intent: in.
Specified as: an integer array of length $nz$. diff --git a/docs/html/node48.html b/docs/html/node48.html index 833b3d18..387cffd2 100644 --- a/docs/html/node48.html +++ b/docs/html/node48.html @@ -104,7 +104,7 @@ Intent: in.
Specified as: an integer value $nl\ge 0$.
extype
diff --git a/docs/html/node49.html b/docs/html/node49.html index a545ac96..9362c43b 100644 --- a/docs/html/node49.html +++ b/docs/html/node49.html @@ -131,7 +131,7 @@ An integer value; 0 means no error has been detected.
  • Providing a good estimate for the number of nonzeroes $nnz$ in the assembled matrix may substantially improve performance in the matrix build phase, as it will reduce or eliminate the need for diff --git a/docs/html/node50.html b/docs/html/node50.html index 63c12826..20f00c01 100644 --- a/docs/html/node50.html +++ b/docs/html/node50.html @@ -91,7 +91,7 @@ Intent: in.
    Specified as: an integer array of size $nz$.
    ja
    @@ -105,7 +105,7 @@ Intent: in.
    Specified as: an integer array of size $nz$.
    val
    @@ -119,11 +119,11 @@ Intent: in.
    Specified as: an array of size $nz$. Must be of the same type and kind of the aspk component of the sparse matrix $a$.
    desc_a
    diff --git a/docs/html/node54.html b/docs/html/node54.html index bbde845c..503591e6 100644 --- a/docs/html/node54.html +++ b/docs/html/node54.html @@ -90,7 +90,7 @@ Intent: in.
    Specified as: Integer scalar, default $1$. It is not a valid argument if in.
    Specified as: Integer scalar, default $1$. It is not a valid argument if m
    Number of rows in $val$ to be inserted.
    Scope:local. @@ -89,11 +89,11 @@ Specified as: an integer value. ALT="$i$"> of $val$ will be inserted into the local row corresponding to the global row index $irw(i)$. Scope:local.
    diff --git a/docs/html/node58.html b/docs/html/node58.html index 77dd7eae..adeac532 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -75,7 +75,7 @@ call psb_gelp(trans, iperm, x, info) SRC="img1.png" ALT="$A$"> or $A^T$.
    Scope: local @@ -89,7 +89,7 @@ Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$.
    iperm
    diff --git a/docs/html/node67.html b/docs/html/node67.html index f930e3a1..ba0da8dc 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -80,7 +80,7 @@ Intent: in.
    Specified as: an integer $>0$.
    a
    @@ -116,7 +116,7 @@ Intent: in.
    Specified as: an integer $>0$. When append is true, specifies how many entries in the output vectors are already filled. @@ -131,10 +131,10 @@ Intent: in.
    Specified as: an integer $>0$, default: $row$.

    @@ -209,12 +209,12 @@ An integer value; 0 means no error has been detected.

    1. The output $nz$ is always the size of the output generated by the current call; thus, if append=.true., the total output size will be $nzin+nz$, with the newly extracted coefficients stored in entries nzin+1:nzin+nz of the array arguments;
      2. diff --git a/docs/html/node69.html b/docs/html/node69.html index 73980b76..81b1ebff 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -73,7 +73,7 @@ call psb_hsort(x,ix,dir,flag)

      These serial routines sort a sequence $X$ into ascending or descending order. The argument meaning is identical for the three calls; the only difference is the algorithm used to accomplish the @@ -99,7 +99,7 @@ Type:optional.
      Specified as: an integer array of (at least) the same size as $X$.

      dir
      @@ -123,7 +123,7 @@ default psb_lsort_up_.
      flag
      Whether to keep the original values in $IX$.
      Type:optional. @@ -185,10 +185,10 @@ position as the corresponding entries in $flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ where $ix(i) \leftarrow i$; thus, upon return from the subroutine, for each index ; thus, upon return from the subroutine, for each SRC="img4.png" ALT="$i$"> we have in $ix(i)$ the position that the item $x(i)$ occupied in the original data sequence; @@ -222,16 +222,16 @@ i$">; thus, upon return from the subroutine, for each --> $flag = psb\_sort\_keep\_idx\_$ the routine will assume that the entries in $ix(:)$ have already been initialized by the user;
    2. The three sorting algorithms have a similar $O(n \log n)$ expected running time; in the average case quicksort will be the fastest and merge-sort the slowest. However note that: @@ -239,7 +239,7 @@ i$">; thus, upon return from the subroutine, for each
      1. The worst case running time for quicksort is $O(n^2)$; the algorithm implemented here follows the well-known median-of-three heuristics, but the worst case may still apply; @@ -247,7 +247,7 @@ i$">; thus, upon return from the subroutine, for each
      2. The worst case running time for merge-sort and heap-sort is $O(n \log n)$ as the average case;
      3. The merge-sort algorithm is implemented to take advantage of diff --git a/docs/html/node71.html b/docs/html/node71.html index f0640c2f..64c91d6c 100644 --- a/docs/html/node71.html +++ b/docs/html/node71.html @@ -107,7 +107,7 @@ Intent: in.
        Specified as: an integer array. Default: use the indices $(0\dots np-1)$.
      3. @@ -141,7 +141,7 @@ Specified as: an integer variable.
    3. It is an error to specify a value for $np$ greater than the number of processes available in the underlying base parallel environment. diff --git a/docs/html/node72.html b/docs/html/node72.html index fc493c83..b2e0154f 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -104,7 +104,7 @@ Specified as: an integer value. $-1 \le iam \le np-1$
      np
      Number of processes in the PSBLAS virtual parallel machine. @@ -128,14 +128,14 @@ Specified as: an integer variable.
      --> $0 \le iam \le np-1$;
    4. If the user has requested on psb_init a number of processes less than the total available in the parallel execution environment, the remaining processes will have on return $iam=-1$; the only call involving icontxt that any such process may execute is to psb_exit. diff --git a/docs/html/node73.html b/docs/html/node73.html index 905ff576..6ba12fe5 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -103,7 +103,7 @@ Specified as: a logical variable, default value: true.
    5. This routine may be called even if a previous call to psb_info has returned with $iam=-1$; indeed, it it is the only routine that may be called with argument icontxt in this situation. diff --git a/docs/html/node75.html b/docs/html/node75.html index e93495ea..50d97fa9 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -63,7 +63,7 @@ call psb_get_rank(rank, icontxt, id)

      This subroutine returns the MPI rank of the PSBLAS process $id$

      Type:
      @@ -98,7 +98,7 @@ Specified as: an integer value. $0 \le id \le np-1$
      @@ -110,7 +110,7 @@ Specified as: an integer value. $0<= root <= np-1$, default 0 diff --git a/docs/html/node80.html b/docs/html/node80.html index 48c84234..3a0bc1ef 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -112,7 +112,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1. diff --git a/docs/html/node81.html b/docs/html/node81.html index 165c57b0..b27fbfa8 100644 --- a/docs/html/node81.html +++ b/docs/html/node81.html @@ -112,7 +112,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
      diff --git a/docs/html/node82.html b/docs/html/node82.html index 1a196f0d..0a134222 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -112,7 +112,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
      diff --git a/docs/html/node83.html b/docs/html/node83.html index aa8add23..e86f419b 100644 --- a/docs/html/node83.html +++ b/docs/html/node83.html @@ -112,7 +112,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
      diff --git a/docs/html/node84.html b/docs/html/node84.html index 5969e226..4b682e50 100644 --- a/docs/html/node84.html +++ b/docs/html/node84.html @@ -112,7 +112,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
      diff --git a/docs/html/node85.html b/docs/html/node85.html index 91b83702..3696d1ee 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -93,7 +93,7 @@ Intent: in. Specified as: an integer, real or complex variable, which may be a scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is not specified, size must agree as well. @@ -111,7 +111,7 @@ Specified as: an integer value $0<= dst <= np-1$.
      m
      @@ -128,16 +128,16 @@ Specified as: an integer value $0<= m <= size(dat,1)$.
      When $dat$ is a rank 2 array, specifies the number of rows to be sent independently of the leading dimension $size(dat,1)$; must have the same value on sending and receiving processes. @@ -157,7 +157,7 @@ same value on sending and receiving processes.
    6. This subroutine implies a synchronization, but only between the calling process and the destination process $dst$.
    diff --git a/docs/html/node86.html b/docs/html/node86.html index ef14fc22..0450a2d4 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -94,7 +94,7 @@ Specified as: an integer value $0<= src <= np-1$.
    m
    @@ -111,16 +111,16 @@ Specified as: an integer value $0<= m <= size(dat,1)$.
    When $dat$ is a rank 2 array, specifies the number of rows to be sent independently of the leading dimension $size(dat,1)$; must have the same value on sending and receiving processes. @@ -143,7 +143,7 @@ Intent: inout. Specified as: an integer, real or complex variable, which may be a scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is not specified, size must agree as well. @@ -156,7 +156,7 @@ not specified, size must agree as well.
  • This subroutine implies a synchronization, but only between the calling process and the source process $src$.
    • diff --git a/docs/html/node87.html b/docs/html/node87.html index 21925c06..f26ee02e 100644 --- a/docs/html/node87.html +++ b/docs/html/node87.html @@ -94,7 +94,7 @@ explicitly.

    -

    +
    Figure 8: The layout of a generic psb_foo @@ -124,7 +124,7 @@ called by psb_spasb ... by process 0 (i.e. the root process).

    -

    +
    Figure 9: A sample PSBLAS-2.0 error diff --git a/docs/html/node99.html b/docs/html/node99.html index 1a4e4cd6..c70a7268 100644 --- a/docs/html/node99.html +++ b/docs/html/node99.html @@ -104,9 +104,9 @@ Error code: if no error, 0 is returned. Legal inputs to this subroutine are interpreted depending on the $ptype$ string as follows3: + HREF="footnode.html#foot6741">3:
    NONE
    No preconditioning, i.e. the preconditioner is just a copy @@ -129,7 +129,7 @@ Legal inputs to this subroutine are interpreted depending on the by the data allocation boundaries for each process; requires no communication. Only the incomplete factorization $ILU(0)$ is currently implemented.
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<9FAB69E1E9042E6478EB33FEF9A388C2>] >> startxref -915557 +916722 %%EOF diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex index c011a520..bc1de958 100644 --- a/docs/src/toolsrout.tex +++ b/docs/src/toolsrout.tex @@ -10,8 +10,8 @@ \begin{verbatim} call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts) -call psb_cdall(icontxt, desc_a, info,vg=vg,flag=flag) -call psb_cdall(icontxt, desc_a, info,vl=vl,nl=nl,globalcheck=.true.) +call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag]) +call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.true.]) call psb_cdall(icontxt, desc_a, info,nl=nl) call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.) \end{verbatim} @@ -51,8 +51,8 @@ Specified as: an integer value. It is required if \verb|parts| or Scope:{\bf global}.\\ Type:{\bf required}.\\ Specified as: a subroutine. -\item[vl] Data allocation: the set of global indices belonging to the - calling process. \\ +\item[vl] Data allocation: the set of global indices + $vl(1:nl)$ belonging to the calling process. \\ Scope:{\bf local}.\\ Type:{\bf optional}.\\ Intent: {\bf in}.\\ @@ -126,30 +126,34 @@ An integer value; 0 means no error has been detected. processes, i.e. we have an overlap among the subdomains. \end{description} \item[vg] In this case the association between an index and a process - is specified via an integer vector; the size of the index space is - equal to the size of \verb|vg|, and each index $i$ is assigned to - the process $vg(i)$. The vector \verb|vg| must be identical on all + is specified via an integer vector \verb|vg(1:mg)|; + each index $i \in \{1\dots mg\}$ is assigned to process $vg(i)$. + The vector \verb|vg| must be identical on all calling processes; its entries may have the ranges $(0\dots np-1)$ - or $(1\dots np)$ according to the value of \verb|flag|. Optionally, - the user may specify \verb|mg|, in - which case the portion \verb|vg(1:mg)| is used. -\item[vl] In this case we are specifying the list of indices assigned - to the current process; thus, the global problem size $mg$ is given by + or $(1\dots np)$ according to the value of \verb|flag|. + The size $mg$ may be specified via the optional argument \verb|mg|; + the default is to use the entire vector \verb|vg|, thus having + \verb|mg=size(vg)|. +\item[vl] In this case we are specifying the list of indices + \verb|vl(1:nl)| assigned to the current process; thus, the global + problem size $mg$ is given by the range of the aggregate of the individual vectors \verb|vl| specified - in the calling processes. If \verb|globalcheck=.true.| - the subroutine will check how many times each entry in the global - index space $(1\dots mg)$ is specified in the input lists - \verb|vl|, thus allowing for the presence of overlap in the input, - and checking for ``orphan'' indices. - If \verb|globalcheck=.false.|, the subroutine will not check for - overlap, and may be substantially faster, but - the user is implicitly guaranteeing that there are neither orphan - nor overlap indices. Optionally, the user may specify \verb|nl|, in - which case the portion \verb|vl(1:nl)| is used. -\item[nl] In this case we are implying a generalized row-block - distribution in which each process $I$ gets assigned a consecutive - chunk of $N_I=nl$ global indices. -\item[repl] In this case we are asking to replicate all indices on + in the calling processes. The size may be specified via the optional + argument \verb|nl|; the default is to use the entire vector \verb|vl|, thus having + \verb|nl=size(vl)|. + If \verb|globalcheck=.true.| the subroutine will check how many + times each entry in the global index space $(1\dots mg)$ is + specified in the input lists \verb|vl|, thus allowing for the + presence of overlap in the input, and checking for ``orphan'' + indices. If \verb|globalcheck=.false.|, the subroutine will not + check for overlap, and may be significantly faster, but the user + is implicitly guaranteeing that there are neither orphan nor + overlap indices. +\item[nl] If this argument is specified alone (i.e. without \verb|vl|) + the result is a generalized row-block distribution in which each + process $I$ gets assigned a consecutive chunk of $N_I=nl$ global + indices. +\item[repl] This arguments specifies to replicate all indices on all processes. This is a special purpose data allocation that is useful in the construction of some multilevel preconditioners. \end{description}