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... -explicitly1
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In our prototype implementation we provide -sample scatter/gather routines. - -
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... domain2
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This is - the normal situation when the pattern of the sparse matrix is - symmetric, which is equivalent to say that the interaction between - two variables is reciprocal. If the matrix pattern is non-symmetric - we may have one-way interactions, and these could cause a situation - in which a boundary point is not a halo point for its neighbour. - -
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... prec%build3
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The subroutine style psb_precinit and psb_precbl are still supported for - backward compatibility - -
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... follows4
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The string is case-insensitive - -
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... method5
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Note: - the implementation is for $FCG(1)$. - -
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+\usepackage{ifthen} +\usepackage{graphicx} +\newtheorem{theorem}{Theorem} +\newtheorem{corollary}{Corollary} +\usepackage{listings} - - - -userhtml - - - - +%\newboolean{mtc} +%\setboolean{mtc}{true} - - +\pdfoutput=0 - +\newcounter{subroutine}[subsection] +\newcounter{example}[subroutine] +\makeatletter +\def\subroutine{\@ifstar{\@subroutine}{\clearpage\@subroutine}}% +\def\@subroutine#1#2{% +\stepcounter{subroutine}% + \section*{\flushleft #1---#2 \endflushleft}% + \addcontentsline{toc}{subsection}{#1}% + \markright{#1}}% +\newcommand{\subsubroutine}[2]{% +\stepcounter{subroutine}% + \subsection*{\flushleft #1---#2 \endflushleft}% + \addcontentsline{toc}{subsubsection}{#1}% + \markright{#1}}% +\newcommand{\subsubsubroutine}[2]{% +\stepcounter{subroutine}% + \subsubsection*{\flushleft #1---#2 \endflushleft}% + \addcontentsline{toc}{paragraph}{#1}% + \markright{#1}}% +\newcommand{\examplename}{Example} +\newcommand{\syntaxname}{Syntax} +\def\syntax{\@ifstar{\@ssyntax}{\@syntax}}% +\def\@syntax{\nobreak\section*{\syntaxname}% + \@ssyntax}% +\def\@ssyntax#1#2{% + \nobreak + \setbox\@tempboxa\hbox{#1\ {\em $($#2$)$}}% + \ifdim \wd\@tempboxa >\hsize + \setbox\@tempboxa\hbox{\em $($#2$)$} + \ifdim\wd\@tempboxa >\hsize + \flushright#1\ \em$($#2$)$\endflushright% + \else + \hbox to\hsize{#1\hfil}% + \hbox to\hsize{\hfil\box\@tempboxa}% + \fi + \else + \hbox to\hsize{\hfil\box\@tempboxa\hfil}% + \fi\par\vskip\baselineskip} +\makeatother +\newcommand{\example}{\stepcounter{example}% +\section*{\examplename~\theexample}} - - +\newcommand{\precdata}{\hyperlink{precdata}{{\tt psb\_prec\_type}}} +\newcommand{\descdata}{\hyperlink{descdata}{{\tt psb\_desc\_type}}} +\newcommand{\spdata}{\hyperlink{spdata}{{\tt psb\_Tspmat\_type}}} +\newcommand{\vdata}{\hyperlink{vdata}{{\tt psb\_T\_vect\_type}}} +\newcommand{\spbasedata}{\hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}} +\newcommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}} - +\begin{document} +\lstset{language=Fortran} -
- -next -up -previous - -contents -
- Next: Contents -   Contents -
-
- -language=Fortran - -

-PSBLAS -
-
-User's and Reference - Guide -
A reference guide for the Parallel Sparse BLAS library -
-
-
-
Salvatore Filippone -
-Alfredo Buttari -
-Software version: 3.7.0 -
+{\LARGE\bfseries PSBLAS\\[.8ex] User's and Reference + Guide}\\[\baselineskip] +\emph{\large A reference guide for the Parallel Sparse BLAS library}\\[3ex] +{\bfseries Salvatore Filippone\\ + Alfredo Buttari } \\ +%\\[10ex] +%\today +Software version: 3.7.0\\ +%\today Jan 7th, 2020 +\cleardoublepage +\begingroup + \renewcommand*{\thepage}{toc} + \pagenumbering{roman} % Roman numbering + \setcounter{page}{1} % Abstract start on page ii + \tableofcontents +\endgroup + +\cleardoublepage + +\pagenumbering{arabic} % Arabic numbering +\setcounter{page}{1} % Chapters start on page 1 + +\include{intro} +\include{datastruct} +\include{psbrout} +\include{commrout} +\include{toolsrout} +\include{penv} +\include{error} +\include{util} +\include{precs} +\include{methods} -

- - +\cleardoublepage - - -
+\input{biblio} - - +\end{document} +%%% Local Variables: +%%% mode: latex +%%% TeX-master: 'userguide' +%%% End: diff --git a/docs/html/next.png b/docs/html/next.png deleted file mode 100644 index 1628652a..00000000 Binary files a/docs/html/next.png and /dev/null differ diff --git a/docs/html/next_g.png b/docs/html/next_g.png deleted file mode 100644 index 9d3f5912..00000000 Binary files a/docs/html/next_g.png and /dev/null differ diff --git a/docs/html/node1.html b/docs/html/node1.html deleted file mode 100644 index a7667052..00000000 --- a/docs/html/node1.html +++ /dev/null @@ -1,111 +0,0 @@ - - - - - -Contents - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous -
- Next: Introduction - Up: userhtml - Previous: userhtml -
-
- -
- -

-Contents -

- - - - -

- -

- -

-

- - - diff --git a/docs/html/node10.html b/docs/html/node10.html deleted file mode 100644 index 4ea70e7d..00000000 --- a/docs/html/node10.html +++ /dev/null @@ -1,304 +0,0 @@ - - - - - -Descriptor data structure - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Descriptor Methods - Up: Data Structures and Classes - Previous: Data Structures and Classes -   Contents -
-
- - -

- -
-Descriptor data structure -

-All the general matrix informations and elements to be -exchanged among processes are stored within a data structure of the -type descdatapsb_desc_type. -Every structure of this type is associated with a discretization -pattern and enables data communications and other operations that are -necessary for implementing the various algorithms of interest to us. - -

-The data structure itself psb_desc_type can be treated as an -opaque object handled via the tools routines of -Sec. 6 or the query routines detailed below; -nevertheless we include here a description for the curious -reader. - -

-First we describe the psb_indx_map type. This is a data -structure that keeps track of a certain number of basic issues such -as: - -

-There are many different schemes for storing these data; therefore -there are a number of types extending the base one, and the descriptor -structure holds a polymorphic object whose dynamic type can be any of -the extended types. -The methods associated with this data type answer the following -queries: - - -All methods but the last are purely local; the last method potentially -requires communication among processes, and thus is a synchronous -method. The choice of a specific dynamic type for the index map is -made at the time the descriptor is initially allocated, according to -the mode of initialization (see also 6). - -

-The descriptor contents are as follows: -

-
indxmap
-
A polymorphic variable of a type that is any - extension of the indx_map type described above. -
-
halo_index
-
A list of the halo and boundary elements for -the current process to be exchanged with other processes; for each -processes with which it is necessary to communicate: - -
    -
  1. Process identifier; -
    2. -
  2. Number of points to be received; -
    3. -
  3. Indices of points to be received; -
    4. -
  4. Number of points to be sent; -
    5. -
  5. Indices of points to be sent; -
    6. -
-Specified as: a vector of integer type, see 3.3. -
-
ext_index
-
A list of element indices to be exchanged to - implement the mapping between a base descriptor and a descriptor - with overlap. -
-Specified as: a vector of integer type, see 3.3. -
-
ovrlap_index
-
A list of the overlap elements for the -current process, organized in groups like the previous vector: - -
    -
  1. Process identifier; -
    2. -
  2. Number of points to be received; -
    3. -
  3. Indices of points to be received; -
    4. -
  4. Number of points to be sent; -
    5. -
  5. Indices of points to be sent; -
    6. -
-Specified as: a vector of integer type, see 3.3. -
-
ovr_mst_idx
-
A list to retrieve the value of each - overlap element from the respective master process. -
-Specified as: a vector of integer type, see 3.3. -
-
ovrlap_elem
-
For all overlap points belonging to th -ecurrent process: - -
    -
  1. Overlap point index; -
    2. -
  2. Number of processes sharing that overlap points; -
    3. -
  3. Index of a “master” process: -
    4. -
-Specified as: an allocatable integer array of rank two. -
-
bnd_elem
-
A list of all boundary points, i.e. points - that have a connection with other processes. -
-
-The Fortran 2003 declaration for psb_desc_type structures is -as follows: - -
- - - -
Figure 3: -The PSBLAS defined data type that - contains the communication descriptor.
-
- -
-
 
-type psb_desc_type 
-    class(psb_indx_map), allocatable :: indxmap
-    type(psb_i_vect_type) :: v_halo_index
-    type(psb_i_vect_type) :: v_ext_index
-    type(psb_i_vect_type) :: v_ovrlap_index
-    type(psb_i_vect_type) :: v_ovr_mst_idx 
-    integer, allocatable  :: ovrlap_elem(:,:)
-    integer, allocatable  :: bnd_elem(:)
-end type psb_desc_type
-
-
-
-
-A communication descriptor associated with a sparse matrix has a -state, which can take the following values: -
-
Build:
-
State entered after the first allocation, and before the - first assembly; in this state it is possible to add communication - requirements among different processes. -
-
Assembled:
-
State entered after the assembly; computations using - the associated sparse matrix, such as matrix-vector products, are - only possible in this state. -
-
- -

-

- -Subsections - - - - -
- - -next - -up - -previous - -contents -
- Next: Descriptor Methods - Up: Data Structures and Classes - Previous: Data Structures and Classes -   Contents
- - - - diff --git a/docs/html/node100.html b/docs/html/node100.html deleted file mode 100644 index dac90c99..00000000 --- a/docs/html/node100.html +++ /dev/null @@ -1,125 +0,0 @@ - - - - - -psb_sizeof -- Memory occupation - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Sorting utilities - Up: Data management routines - Previous: psb_sp_getrow Extract -   Contents -
-
- - -

-psb_sizeof -- Memory occupation -

- -

-This function computes the memory occupation of a PSBLAS object. - -

-

-isz = psb_sizeof(a)
-isz = psb_sizeof(desc_a)
-isz = psb_sizeof(prec)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
A sparse matrix -$A$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
desc_a
-
Communication descriptor. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
prec
-
Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a preconditioner data structure precdatapsb_prec_type. -
-
On Return
-
-
-
Function value
-
The memory occupation of the object specified in - the calling sequence, in bytes. -
-Scope: local -
-Returned as: an integer(psb_long_int_k_) number. -
-
- -

-

- - - diff --git a/docs/html/node101.html b/docs/html/node101.html deleted file mode 100644 index 2d6c42e9..00000000 --- a/docs/html/node101.html +++ /dev/null @@ -1,291 +0,0 @@ - - - - - -Sorting utilities -- - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory -   Contents -
-
- - -

-Sorting utilities -- -

- -

-psb_msort -- Sorting by the Merge-sort - algorithm - -

-psb_qsort -- Sorting by the Quicksort - algorithm - -

-psb_hsort -- Sorting by the Heapsort algorithm -

-call psb_msort(x,ix,dir,flag)
-call psb_qsort(x,ix,dir,flag)
-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 -task (see Usage Notes below). -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
The sequence to be sorted. -
-Type:required. -
-Specified as: an integer, real or complex array of rank 1. -
-
ix
-
A vector of indices. -
-Type:optional. -
-Specified as: an integer array of (at least) the same size as $X$. -
-
dir
-
The desired ordering. -
-Type:optional. -
-Specified as: an integer value:
-
Integer and real data:
-
psb_sort_up_, -psb_sort_down_, psb_asort_up_, psb_asort_down_; -default psb_sort_up_. -
-
Complex data:
-
psb_lsort_up_, -psb_lsort_down_, psb_asort_up_, psb_asort_down_; -default psb_lsort_up_. -
-
-
-
flag
-
Whether to keep the original values in $IX$. -
-Type:optional. -
-Specified as: an integer value psb_sort_ovw_idx_ or -psb_sort_keep_idx_; default psb_sort_ovw_idx_. - -

-

-
- -

-

-
On Return
-
-
-
x
-
The sequence of values, in the chosen ordering. -
-Type:required. -
-Specified as: an integer, real or complex array of rank 1. -
-
ix
-
A vector of indices. -
-Type: Optional -
-An integer array of rank 1, whose entries are moved to the same -position as the corresponding entries in $x$. -
-
- -

- -

-Notes - -

    -
  1. For integer or real data the sorting can be performed in the up/down direction, on the - natural or absolute values; -
    2. -
  2. For complex data the sorting can be done in a lexicographic - order (i.e.: sort on the real part with ties broken according to - the imaginary part) or on the absolute values; -
    3. -
  3. The routines return the items in the chosen ordering; the - output difference is the handling of ties (i.e. items with an - equal value) in the original input. With the merge-sort algorithm - ties are preserved in the same relative order as they had in the - original sequence, while this is not guaranteed for quicksort or - heapsort; -
    4. -
  4. If -$flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ - where $n$ is the size of $x$ are initialized to -$ix(i) \leftarrow -i$; thus, upon return from the subroutine, for each - index $i$ we have in $ix(i)$ the position that the item $x(i)$ - occupied in the original data sequence; -
    5. -
  5. If -$flag = psb\_sort\_keep\_idx\_$ the routine will assume that - the entries in $ix(:)$ have already been initialized by the user; -
    6. -
  6. 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: - -
      -
    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; -
      2. -
    2. The worst case running time for merge-sort and heap-sort is - $O(n \log n)$ as the average case; -
      3. -
    3. The merge-sort algorithm is implemented to take advantage of - subsequences that may be already in the desired ordering prior to - the subroutine call; this situation is relatively common when - dealing with groups of indices of sparse matrix entries, thus - merge-sort is the preferred choice when a sorting is needed - by other routines in the library. -
      4. -
    -
    7. -
- -

- -

- -

- - -next - -up - -previous - -contents -
- Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory -   Contents
- - - - diff --git a/docs/html/node102.html b/docs/html/node102.html deleted file mode 100644 index 34f32338..00000000 --- a/docs/html/node102.html +++ /dev/null @@ -1,106 +0,0 @@ - - - - - -Parallel environment routines - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_init Initializes - Up: userhtml - Previous: Sorting utilities -   Contents -
-
- - -

- -
-Parallel environment routines -

- -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node103.html b/docs/html/node103.html deleted file mode 100644 index 14bd2e25..00000000 --- a/docs/html/node103.html +++ /dev/null @@ -1,177 +0,0 @@ - - - - - -psb_init -- Initializes PSBLAS parallel environment - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_info Return - Up: Parallel environment routines - Previous: Parallel environment routines -   Contents -
-
- - -

-psb_init -- Initializes PSBLAS parallel - environment -

- -

-

-call psb_init(icontxt, np, basectxt, ids)
-
- -

-This subroutine initializes the PSBLAS parallel environment, defining -a virtual parallel machine. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
np
-
Number of processes in the PSBLAS virtual parallel machine. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value. Default: use all available processes. -
-
basectxt
-
the initial communication context. The new context - will be defined from the processes participating in the initial one. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value. Default: use MPI_COMM_WORLD. -
-
ids
-
Identities of the processes to use for the new context; the - argument is ignored when np is not specified. This allows the - processes in the new environment to be in an order different from the - original one. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer array. Default: use the indices $(0\dots np-1)$. -
-
- -

-

-
On Return
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. Note that this is always a duplicate of - basectxt, so that library communications are completely - separated from other communication operations. -
-Scope: global. -
-Type: required. -
-Intent: out. -
-Specified as: an integer variable. -
-
- -

-Notes - -

    -
  1. A call to this routine must precede any other PSBLAS call. -
    2. -
  2. It is an error to specify a value for $np$ greater than the - number of processes available in the underlying base parallel - environment. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_info Return - Up: Parallel environment routines - Previous: Parallel environment routines -   Contents
- - - - diff --git a/docs/html/node104.html b/docs/html/node104.html deleted file mode 100644 index 45626fb0..00000000 --- a/docs/html/node104.html +++ /dev/null @@ -1,146 +0,0 @@ - - - - - -psb_info -- Return information about PSBLAS parallel environment - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_exit Exit - Up: Parallel environment routines - Previous: psb_init Initializes -   Contents -
-
- - -

-psb_info -- Return information about PSBLAS parallel - environment -

- -

-

-call psb_info(icontxt, iam, np)
-
- -

-This subroutine returns information about the PSBLAS parallel environment, defining -a virtual parallel machine. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
- -

-

-
On Return
-
-
-
iam
-
Identifier of current process in the PSBLAS virtual parallel machine. -
-Scope: local. -
-Type: required. -
-Intent: out. -
-Specified as: an integer value. -$-1 \le iam \le np-1$
-
np
-
Number of processes in the PSBLAS virtual parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: out. -
-Specified as: an integer variable.
-
- -

-Notes - -

    -
  1. For processes in the virtual parallel machine the identifier - will satisfy -$0 \le iam \le np-1$; -
    2. -
  2. 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. -
    3. -
- -

-

- - - diff --git a/docs/html/node105.html b/docs/html/node105.html deleted file mode 100644 index 8bc07f29..00000000 --- a/docs/html/node105.html +++ /dev/null @@ -1,149 +0,0 @@ - - - - - -psb_exit -- Exit from PSBLAS parallel environment - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_get_mpi_comm Get - Up: Parallel environment routines - Previous: psb_info Return -   Contents -
-
- - -

-psb_exit -- Exit from PSBLAS parallel - environment -

- -

-

-call psb_exit(icontxt)
-call psb_exit(icontxt,close)
-
- -

-This subroutine exits from the PSBLAS parallel virtual machine. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
close
-
Whether to close all data structures related to the - virtual parallel machine, besides those associated with icontxt. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: a logical variable, default value: true. -
-
- -

-Notes - -

    -
  1. 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. -
    2. -
  2. A call to this routine with close=.true. implies a call - to MPI_Finalize, after which no parallel routine may be called. -
    3. -
  3. If the user whishes to use multiple communication contexts in the - same program, or to enter and exit multiple times into the parallel - environment, this routine may be called to - selectively close the contexts with close=.false., while on - the last call it should be called with close=.true. to - shutdown in a clean way the entire parallel environment. -
    4. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_get_mpi_comm Get - Up: Parallel environment routines - Previous: psb_info Return -   Contents
- - - - diff --git a/docs/html/node106.html b/docs/html/node106.html deleted file mode 100644 index 9ba7f06f..00000000 --- a/docs/html/node106.html +++ /dev/null @@ -1,108 +0,0 @@ - - - - - -psb_get_mpi_comm -- Get the MPI communicator - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_get_mpi_rank Get - Up: Parallel environment routines - Previous: psb_exit Exit -   Contents -
-
- - -

-psb_get_mpi_comm -- Get the MPI communicator -

- -

-

-icomm = psb_get_mpi_comm(icontxt)
-
- -

-This function returns the MPI communicator associated with a PSBLAS context -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
- -

-

-
On Return
-
-
-
Function value
-
The MPI communicator associated with the PSBLAS virtual parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: out. -
-
- -

-Notes -The subroutine version psb_get_mpicomm is still available but -is deprecated. - -

-

- - - diff --git a/docs/html/node107.html b/docs/html/node107.html deleted file mode 100644 index 53a692f0..00000000 --- a/docs/html/node107.html +++ /dev/null @@ -1,130 +0,0 @@ - - - - - -psb_get_mpi_rank -- Get the MPI rank - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_wtime Wall - Up: Parallel environment routines - Previous: psb_get_mpi_comm Get -   Contents -
-
- - -

-psb_get_mpi_rank -- Get the MPI rank -

- -

-

-rank = psb_get_mpi_rank(icontxt, id)
-
- -

-This function returns the MPI rank of the PSBLAS process $id$ -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
id
-
Identifier of a process in the PSBLAS virtual parallel machine. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: an integer value. -$0 \le id \le np-1$
-
- -

-

-
On Return
-
-
-
Funciton value
-
The MPI rank associated with the PSBLAS process $id$. -
-Scope: local. -
-Type: required. -
-Intent: out. -
-
- -

-Notes -The subroutine version psb_get_rank is still available but is -deprecated. - -

-

- - - diff --git a/docs/html/node108.html b/docs/html/node108.html deleted file mode 100644 index 64031864..00000000 --- a/docs/html/node108.html +++ /dev/null @@ -1,81 +0,0 @@ - - - - - -psb_wtime -- Wall clock timing - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_barrier Sinchronization - Up: Parallel environment routines - Previous: psb_get_mpi_rank Get -   Contents -
-
- - -

-psb_wtime -- Wall clock timing -

- -

-

-time = psb_wtime()
-
- -

-This function returns a wall clock timer. The resolution of the timer -is dependent on the underlying parallel environment implementation. -

-
Type:
-
Asynchronous. -
-
On Exit
-
-
-
Function value
-
the elapsed time in seconds. -
-Returned as: a real(psb_dpk_) variable. -
-
- -

-

- - - diff --git a/docs/html/node109.html b/docs/html/node109.html deleted file mode 100644 index e9725952..00000000 --- a/docs/html/node109.html +++ /dev/null @@ -1,89 +0,0 @@ - - - - - -psb_barrier -- Sinchronization point parallel environment - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_abort Abort - Up: Parallel environment routines - Previous: psb_wtime Wall -   Contents -
-
- - -

-psb_barrier -- Sinchronization point parallel - environment -

- -

-

-call psb_barrier(icontxt)
-
- -

-This subroutine acts as an explicit synchronization point for the PSBLAS -parallel virtual machine. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
- -

-

- - - diff --git a/docs/html/node11.html b/docs/html/node11.html deleted file mode 100644 index cea13c5c..00000000 --- a/docs/html/node11.html +++ /dev/null @@ -1,59 +0,0 @@ - - - - - -Descriptor Methods - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_local_rows Get - Up: Descriptor data structure - Previous: Descriptor data structure -   Contents -
-
- - -

-Descriptor Methods -

- -

-

- - - diff --git a/docs/html/node110.html b/docs/html/node110.html deleted file mode 100644 index df63b41c..00000000 --- a/docs/html/node110.html +++ /dev/null @@ -1,87 +0,0 @@ - - - - - -psb_abort -- Abort a computation - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_bcast Broadcast - Up: Parallel environment routines - Previous: psb_barrier Sinchronization -   Contents -
-
- - -

-psb_abort -- Abort a computation -

- -

-

-call psb_abort(icontxt)
-
- -

-This subroutine aborts computation on the parallel virtual machine. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
- -

-

- - - diff --git a/docs/html/node111.html b/docs/html/node111.html deleted file mode 100644 index 5c5f03dc..00000000 --- a/docs/html/node111.html +++ /dev/null @@ -1,136 +0,0 @@ - - - - - -psb_bcast -- Broadcast data - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_sum Global - Up: Parallel environment routines - Previous: psb_abort Abort -   Contents -
-
- - -

-psb_bcast -- Broadcast data -

- -

-

-call psb_bcast(icontxt, dat, root)
-
- -

-This subroutine implements a broadcast operation based on the -underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
On the root process, the data to be broadcast. -
-Scope: global. -
-Type: required. -
-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 variable, -which may be a scalar or rank 1 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Root process holding data to be broadcast. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$0<= root <= np-1$, default 0
-
- -

-

-
On Return
-
-
-
dat
-
On processes other than root, the data to be broadcast. -
-Scope: global. -
-Type: required. -
-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, rank and size must agree on all processes. -
-
- -

-

- - - diff --git a/docs/html/node112.html b/docs/html/node112.html deleted file mode 100644 index 030d27d0..00000000 --- a/docs/html/node112.html +++ /dev/null @@ -1,177 +0,0 @@ - - - - - -psb_sum -- Global sum - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast -   Contents -
-
- - -

-psb_sum -- Global sum -

- -

-

-call psb_sum(icontxt, dat, root)
-
- -

-This subroutine implements a sum reduction operation based on the -underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The local contribution to the global sum. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final sum, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1.
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the sum operation. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. -
-Type, kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast -   Contents
- - - - diff --git a/docs/html/node113.html b/docs/html/node113.html deleted file mode 100644 index c1e4df12..00000000 --- a/docs/html/node113.html +++ /dev/null @@ -1,176 +0,0 @@ - - - - - -psb_max -- Global maximum - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global -   Contents -
-
- - -

-psb_max -- Global maximum -

- -

-

-call psb_max(icontxt, dat, root)
-
- -

-This subroutine implements a maximum valuereduction -operation based on the underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The local contribution to the global maximum. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final maximum, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1. -
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the maximum operation. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global -   Contents
- - - - diff --git a/docs/html/node114.html b/docs/html/node114.html deleted file mode 100644 index 6f57ba56..00000000 --- a/docs/html/node114.html +++ /dev/null @@ -1,178 +0,0 @@ - - - - - -psb_min -- Global minimum - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global -   Contents -
-
- - -

-psb_min -- Global minimum -

- -

-

-call psb_min(icontxt, dat, root)
-
- -

-This subroutine implements a minimum value reduction -operation based on the underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The local contribution to the global minimum. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final value, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1. -
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the minimum operation. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. -
-Type, kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global -   Contents
- - - - diff --git a/docs/html/node115.html b/docs/html/node115.html deleted file mode 100644 index adb0bd4e..00000000 --- a/docs/html/node115.html +++ /dev/null @@ -1,176 +0,0 @@ - - - - - -psb_amx -- Global maximum absolute value - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global -   Contents -
-
- - -

-psb_amx -- Global maximum absolute value -

- -

-

-call psb_amx(icontxt, dat, root)
-
- -

-This subroutine implements a maximum absolute value reduction -operation based on the underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The local contribution to the global maximum. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final value, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1. -
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the maximum operation. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global -   Contents
- - - - diff --git a/docs/html/node116.html b/docs/html/node116.html deleted file mode 100644 index 5abef770..00000000 --- a/docs/html/node116.html +++ /dev/null @@ -1,178 +0,0 @@ - - - - - -psb_amn -- Global minimum absolute value - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_nrm2 Global - Up: Parallel environment routines - Previous: psb_amx Global -   Contents -
-
- - -

-psb_amn -- Global minimum absolute value -

- -

-

-call psb_amn(icontxt, dat, root)
-
- -

-This subroutine implements a minimum absolute value reduction -operation based on the underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The local contribution to the global minimum. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final value, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1. -
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the minimum operation. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. -
-Type, kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_nrm2 Global - Up: Parallel environment routines - Previous: psb_amx Global -   Contents
- - - - diff --git a/docs/html/node117.html b/docs/html/node117.html deleted file mode 100644 index d9d35c35..00000000 --- a/docs/html/node117.html +++ /dev/null @@ -1,210 +0,0 @@ - - - - - -psb_nrm2 -- Global 2-norm reduction - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amn Global -   Contents -
-
- - -

-psb_nrm2 -- Global 2-norm reduction -

- -

-

-call psb_nrm2(icontxt, dat, root)
-
- -

-This subroutine implements a 2-norm value reduction -operation based on the underlying communication library. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The local contribution to the global minimum. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: a real variable, which may be a -scalar, or a rank 1 array. Kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final value, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1. -
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the 2-norm reduction. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: a real variable, which may be a -scalar, or a rank 1 array. -
-Kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. This reduction is appropriate to compute the results of multiple - (local) NRM2 operations at the same time. -
    2. -
  2. Denoting by $dat_i$ the value of the variable $dat$ on process - $i$, the output $res$ is equivalent to the computation of -

    -
    - - -\begin{displaymath}res = \sqrt{\sum_i dat_i^2},\end{displaymath} -
    -
    -

    -with care taken to avoid unnecessary overflow. -
    3. -
  3. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    4. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amn Global -   Contents
- - - - diff --git a/docs/html/node118.html b/docs/html/node118.html deleted file mode 100644 index 3fdb13cc..00000000 --- a/docs/html/node118.html +++ /dev/null @@ -1,190 +0,0 @@ - - - - - -psb_snd -- Send data - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_nrm2 Global -   Contents -
-
- - -

-psb_snd -- Send data -

- -

-

-call psb_snd(icontxt, dat, dst, m)
-
- -

-This subroutine sends a packet of data to a destination. -

-
Type:
-
Synchronous: see usage notes. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
The data to be sent. -
-Scope: local. -
-Type: required. -
-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. -
-
dst
-
Destination process. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer value -$0<= dst <= np-1$. -
-
m
-
Number of rows. -
-Scope: global. -
-Type: Optional. -
-Intent: in. -
-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. -
-
- -

-

-
On Return
-
-
-
- -

-Notes - -

    -
  1. This subroutine implies a synchronization, but only between the - calling process and the destination process $dst$. -
    2. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_nrm2 Global -   Contents
- - - - diff --git a/docs/html/node119.html b/docs/html/node119.html deleted file mode 100644 index 56957cf1..00000000 --- a/docs/html/node119.html +++ /dev/null @@ -1,189 +0,0 @@ - - - - - -psb_rcv -- Receive data - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send -   Contents -
-
- - -

-psb_rcv -- Receive data -

- -

-

-call psb_rcv(icontxt, dat, src, m)
-
- -

-This subroutine receives a packet of data to a destination. -

-
Type:
-
Synchronous: see usage notes. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
src
-
Source process. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer value -$0<= src <= np-1$. -
-
m
-
Number of rows. -
-Scope: global. -
-Type: Optional. -
-Intent: in. -
-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. -
-
- -

-

-
On Return
-
-
-
dat
-
The data to be received. -
-Scope: local. -
-Type: required. -
-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. -
-
- -

-Notes - -

    -
  1. This subroutine implies a synchronization, but only between the - calling process and the source process $src$. -
    2. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send -   Contents
- - - - diff --git a/docs/html/node12.html b/docs/html/node12.html deleted file mode 100644 index a802610d..00000000 --- a/docs/html/node12.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - -get_local_rows -- Get number of local rows - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_local_cols Get - Up: Descriptor data structure - Previous: Descriptor Methods -   Contents -
-
- - -

-get_local_rows -- Get number of local rows -

- -

-

-nr = desc%get_local_rows()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of local rows, i.e. the number of - rows owned by the current process; as explained in 1, - it is equal to -$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$. The returned value is - specific to the calling process. -
-
- -

-

- - - diff --git a/docs/html/node120.html b/docs/html/node120.html deleted file mode 100644 index 2f031b89..00000000 --- a/docs/html/node120.html +++ /dev/null @@ -1,342 +0,0 @@ - - - - - -Error handling - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Utilities - Up: userhtml - Previous: psb_rcv Receive -   Contents -
-
- - -

-Error handling -

- -

-The PSBLAS library error handling policy has been completely rewritten -in version 2.0. The idea behind the design of this new error handling -strategy is to keep error messages on a stack allowing the user to -trace back up to the point where the first error message has been -generated. Every routine in the PSBLAS-2.0 library has, as last -non-optional argument, an integer info variable; whenever, -inside the routine, an error is detected, this variable is set to a -value corresponding to a specific error code. Then this error code is -also pushed on the error stack and then either control is returned to -the caller routine or the execution is aborted, depending on the users -choice. At the time when the execution is aborted, an error message is -printed on standard output with a level of verbosity than can be -chosen by the user. If the execution is not aborted, then, the caller -routine checks the value returned in the info variable and, if -not zero, an error condition is raised. This process continues on all the -levels of nested calls until the level where the user decides to abort -the program execution. - -

-Figure 9 shows the layout of a generic psb_foo -routine with respect to the PSBLAS-2.0 error handling policy. It is -possible to see how, whenever an error condition is detected, the -info variable is set to the corresponding error code which is, -then, pushed on top of the stack by means of the -psb_errpush. An error condition may be directly detected inside -a routine or indirectly checking the error code returned returned by a -called routine. Whenever an error is encountered, after it has been -pushed on stack, the program execution skips to a point where the -error condition is handled; the error condition is handled either by -returning control to the caller routine or by calling the -psb\_error routine which prints the content of the error stack -and aborts the program execution, according to the choice made by the -user with psb_set_erraction. The default is to print the error -and terminate the program, but the user may choose to handle the error -explicitly. - -

- -

- - - -
Figure 9: -The layout of a generic psb_foo - routine with respect to PSBLAS-2.0 error handling policy.
-
- -
- -\fbox{\TheSbox} -
-
- -

-Figure 10 reports a sample error message generated by -the PSBLAS-2.0 library. This error has been generated by the fact that -the user has chosen the invalid “FOO” storage format to represent -the sparse matrix. From this error message it is possible to see that -the error has been detected inside the psb_cest subroutine -called by psb_spasb ... by process 0 (i.e. the root process). - -

- -

- - - -
Figure 10: -A sample PSBLAS-2.0 error - message. Process 0 detected an error condition inside the psb_cest subroutine
-
- -
- -\fbox{\TheSbox} -
-
- -

-ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error - stack - -

-
-\begin{lstlisting} -call psb_errpush(err_c, r_name, i_err, a_err) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
err_c
-
the error code -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an integer. -
-
r_name
-
the soutine where the error has been caught. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a string. -
-
i_err
-
addional info for error code -
-Scope: local -
-Type: optional -
-Specified as: an integer array -
-
a_err
-
addional info for error code -
-Scope: local -
-Type: optional -
-Specified as: a string. -
-
- -

-ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts - execution - -

-
-\begin{lstlisting} -call psb_error(icontxt) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context. -
-Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: an integer. -
-
- -

-ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error - messages. - -

-
-\begin{lstlisting} -call psb_set_errverbosity(v) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
v
-
the verbosity level -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: an integer. -
-
- -

-ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be - taken upon error condition. - -

-
-\begin{lstlisting} -call psb_set_erraction(err_act) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
err_act
-
the type of action. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: an integer. Possible values: psb_act_ret, -psb_act_abort. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: Utilities - Up: userhtml - Previous: psb_rcv Receive -   Contents
- - - - diff --git a/docs/html/node121.html b/docs/html/node121.html deleted file mode 100644 index 384e43c7..00000000 --- a/docs/html/node121.html +++ /dev/null @@ -1,91 +0,0 @@ - - - - - -Utilities - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: hb_read Read - Up: userhtml - Previous: Error handling -   Contents -
-
- - -

- -
-Utilities -

- -

-We have some utilities available for input and output of -sparse matrices; the interfaces to these routines are available in the -module psb_util_mod. - -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node122.html b/docs/html/node122.html deleted file mode 100644 index f83ba9c2..00000000 --- a/docs/html/node122.html +++ /dev/null @@ -1,159 +0,0 @@ - - - - - -hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: hb_write Write - Up: Utilities - Previous: Utilities -   Contents -
-
- - -

- hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format -

- -

-
-\begin{lstlisting} -call hb_read(a, iret, iunit, filename, b, mtitle) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
filename
-
The name of the file to be read. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
-
iunit
-
The Fortran file unit number. -
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not -. -
-
- -

-

-
On Return
-
-
-
a
-
the sparse matrix read from file. -
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
b
-
Rigth hand side(s). -
-Type: Optional -
-An array of type real or complex, rank 2 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side, otherwise will be left in the UNALLOCATED state. -
-
mtitle
-
Matrix title. -
-Type: Optional -
-A charachter variable of length 72 holding a copy of the -matrix title as specified by the Harwell-Boeing format and contained -in the input file. -
-
iret
-
Error code. -
-Type: required -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: hb_write Write - Up: Utilities - Previous: Utilities -   Contents
- - - - diff --git a/docs/html/node123.html b/docs/html/node123.html deleted file mode 100644 index 5005685d..00000000 --- a/docs/html/node123.html +++ /dev/null @@ -1,168 +0,0 @@ - - - - - -hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Contents -
-
- - -

-hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format -

- -

-
-\begin{lstlisting} -call hb_write(a, iret, iunit, filename, key, rhs, mtitle) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix to be written. -
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
b
-
Rigth hand side. -
-Type: Optional -
-An array of type real or complex, rank 1 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side. -
-
filename
-
The name of the file to be written to. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output -in Unix jargon) is used. Default: -. -
-
iunit
-
The Fortran file unit number. -
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not -. -
-
key
-
Matrix key. -
-Type: Optional -
-A charachter variable of length 8 holding the -matrix key as specified by the Harwell-Boeing format and to be -written to file. -
-
mtitle
-
Matrix title. -
-Type: Optional -
-A charachter variable of length 72 holding the -matrix title as specified by the Harwell-Boeing format and to be -written to file. -
-
- -

-

-
On Return
-
-
-
iret
-
Error code. -
-Type: required -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Contents
- - - - diff --git a/docs/html/node124.html b/docs/html/node124.html deleted file mode 100644 index 2f0b1b70..00000000 --- a/docs/html/node124.html +++ /dev/null @@ -1,117 +0,0 @@ - - - - - -mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: mm_array_read Read - Up: Utilities - Previous: hb_write Write -   Contents -
-
- - -

-mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format -

- -

-
-\begin{lstlisting} -call mm_mat_read(a, iret, iunit, filename) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
filename
-
The name of the file to be read. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
-
iunit
-
The Fortran file unit number. -
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not -. -
-
- -

-

-
On Return
-
-
-
a
-
the sparse matrix read from file. -
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
iret
-
Error code. -
-Type: required -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node125.html b/docs/html/node125.html deleted file mode 100644 index cf94193e..00000000 --- a/docs/html/node125.html +++ /dev/null @@ -1,119 +0,0 @@ - - - - - -mm_array_read -- Read a dense array from a file in the MatrixMarket format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: mm_mat_write Write - Up: Utilities - Previous: mm_mat_read Read -   Contents -
-
- - -

-mm_array_read -- Read a dense array from a - file in the MatrixMarket format -

- -

-
-\begin{lstlisting} -call mm_array_read(b, iret, iunit, filename) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
filename
-
The name of the file to be read. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
-
iunit
-
The Fortran file unit number. -
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not -. -
-
- -

-

-
On Return
-
-
-
b
-
Rigth hand side(s). -
-Type: required -
-An array of type real or complex, rank 1 or 2 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side, otherwise will be left in the UNALLOCATED state. -
-
iret
-
Error code. -
-Type: required -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node126.html b/docs/html/node126.html deleted file mode 100644 index 696eb19f..00000000 --- a/docs/html/node126.html +++ /dev/null @@ -1,123 +0,0 @@ - - - - - -mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: mm_array_write Write - Up: Utilities - Previous: mm_array_read Read -   Contents -
-
- - -

-mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format -

- -

-
-\begin{lstlisting} -call mm_mat_write(a, mtitle, iret, iunit, filename) -\end{lstlisting} -
-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix to be written. -
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
mtitle
-
Matrix title. -
-Type: required -
-A charachter variable holding a descriptive title for the matrix to be - written to file. -
-
filename
-
The name of the file to be written to. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output -in Unix jargon) is used. Default: -. -
-
iunit
-
The Fortran file unit number. -
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not -. -
-
- -

-

-
On Return
-
-
-
iret
-
Error code. -
-Type: required -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node127.html b/docs/html/node127.html deleted file mode 100644 index 552b3c2f..00000000 --- a/docs/html/node127.html +++ /dev/null @@ -1,115 +0,0 @@ - - - - - -mm_array_write -- Write a dense array from a file in the MatrixMarket format - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Preconditioner routines - Up: Utilities - Previous: mm_mat_write Write -   Contents -
-
- - -

-mm_array_write -- Write a dense array from a - file in the MatrixMarket format -

- -

-
-\begin{lstlisting} -call mm_array_write(b, iret, iunit, filename) -\end{lstlisting} -
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
b
-
Rigth hand side(s). -
-Type: required -
-An array of type real or complex, rank 1 or 2; will be written..
-
filename
-
The name of the file to be written. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
-
iunit
-
The Fortran file unit number. -
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not -. -
-
- -

-

-
On Return
-
-
-
iret
-
Error code. -
-Type: required -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node128.html b/docs/html/node128.html deleted file mode 100644 index 06233ef9..00000000 --- a/docs/html/node128.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - -Preconditioner routines - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: init Initialize - Up: userhtml - Previous: mm_array_write Write -   Contents -
-
- - -

- -
-Preconditioner routines -

- -

-The base PSBLAS library contains the implementation of two simple -preconditioning techniques: - -

-The supporting data type and subroutine interfaces are defined in the -module psb_prec_mod. -The old interfaces psb_precinit and psb_precbld are still supported for -backward compatibility - -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node129.html b/docs/html/node129.html deleted file mode 100644 index f86c6f0c..00000000 --- a/docs/html/node129.html +++ /dev/null @@ -1,150 +0,0 @@ - - - - - -init -- Initialize a preconditioner - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: build Builds - Up: Preconditioner routines - Previous: Preconditioner routines -   Contents -
-
- - -

-init -- Initialize a preconditioner -

- -

-

-call prec%init(icontxt,ptype, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context. -
-Scope:global. -
-Type:required. -
-Intent: in. -
-Specified as: an integer value. -
-
ptype
-
the type of preconditioner. -Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a character string, see usage notes. -
-
On Exit
-

-

-
prec
-
Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a preconditioner data structure precdatapsb_prec_type. -
-
info
-
Scope: global -
-Type: required -
-Intent: out. -
-Error code: if no error, 0 is returned. -
-
-Notes -Legal inputs to this subroutine are interpreted depending on the -$ptype$ string as follows4: -
-
NONE
-
No preconditioning, i.e. the preconditioner is just a copy - operator. -
-
DIAG
-
Diagonal scaling; each entry of the input vector is - multiplied by the reciprocal of the sum of the absolute values of - the coefficients in the corresponding row of matrix $A$; -
-
BJAC
-
Precondition by a factorization of the - block-diagonal of matrix $A$, where block boundaries are determined - by the data allocation boundaries for each process; requires no - communication. Only the incomplete factorization $ILU(0)$ is - currently implemented. -
-
- -

-

- - - diff --git a/docs/html/node13.html b/docs/html/node13.html deleted file mode 100644 index 26d21840..00000000 --- a/docs/html/node13.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - -get_local_cols -- Get number of local cols - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_global_rows Get - Up: Descriptor data structure - Previous: get_local_rows Get -   Contents -
-
- - -

-get_local_cols -- Get number of local cols -

- -

-

-nc = desc%get_local_cols()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of local cols, i.e. the number of - indices used by the current process, including both local and halo - indices; as explained in 1, - it is equal to -$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$. The - returned value is specific to the calling process. -
-
- -

-

- - - diff --git a/docs/html/node130.html b/docs/html/node130.html deleted file mode 100644 index 532b6c53..00000000 --- a/docs/html/node130.html +++ /dev/null @@ -1,194 +0,0 @@ - - - - - -build -- Builds a preconditioner - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: apply Preconditioner - Up: Preconditioner routines - Previous: init Initialize -   Contents -
-
- - -

-build -- Builds a preconditioner -

- -

-

-call prec%build(a, desc_a, info[,amold,vmold,imold])
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
a
-
the system sparse matrix. -Scope: local -
-Type: required -
-Intent: in, target. -
-Specified as: a sparse matrix data structure spdatapsb_Tspmat_type. -
-
prec
-
the preconditioner. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: an already initialized precondtioner data structure precdatapsb_prec_type -
-
desc_a
-
the problem communication descriptor. -Scope: local -
-Type: required -
-Intent: in, target. -
-Specified as: a communication descriptor data structure descdatapsb_desc_type. -
-
amold
-
The desired dynamic type for the internal matrix storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. -
-
vmold
-
The desired dynamic type for the internal vector storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. -
-
imold
-
The desired dynamic type for the internal integer vector storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an object of a class derived from (integer) vbasedatapsb_T_base_vect_type. -
-
- -

-

-
On Return
-
-
-
prec
-
the preconditioner. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a precondtioner data structure precdatapsb_prec_type -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
-The amold, vmold and imold arguments may be -employed to interface with special devices, such as GPUs and other -accelerators. - -

- -

- - -next - -up - -previous - -contents -
- Next: apply Preconditioner - Up: Preconditioner routines - Previous: init Initialize -   Contents
- - - - diff --git a/docs/html/node131.html b/docs/html/node131.html deleted file mode 100644 index 289b69ab..00000000 --- a/docs/html/node131.html +++ /dev/null @@ -1,153 +0,0 @@ - - - - - -apply -- Preconditioner application routine - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: descr Prints - Up: Preconditioner routines - Previous: build Builds -   Contents -
-
- - -

-apply -- Preconditioner application - routine -

- -

-

-call prec%apply(x,y,desc_a,info,trans,work)
-call prec%apply(x,desc_a,info,trans)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
prec
-
the preconditioner. -Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a preconditioner data structure precdatapsb_prec_type. -
-
x
-
the source vector. -Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
-
desc_a
-
the problem communication descriptor. -Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a communication data structure descdatapsb_desc_type. -
-
trans
-
Scope: -
-Type: optional -
-Intent: in. -
-Specified as: a character. -
-
work
-
an optional work space -Scope: local -
-Type: optional -
-Intent: inout. -
-Specified as: a double precision array. -
-
- -

-

-
On Return
-
-
-
y
-
the destination vector. -Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node132.html b/docs/html/node132.html deleted file mode 100644 index c4e00902..00000000 --- a/docs/html/node132.html +++ /dev/null @@ -1,114 +0,0 @@ - - - - - -descr -- Prints a description of current preconditioner - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: clone clone - Up: Preconditioner routines - Previous: apply Preconditioner -   Contents -
-
- - -

-descr -- Prints a description of current - preconditioner -

- -

-

-call prec%descr()
-call prec%descr(iout, root)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
prec
-
the preconditioner. -Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a preconditioner data structure precdatapsb_prec_type. -
-
iout
-
output unit. -Scope: local -
-Type: optional -
-Intent: in. -
-Specified as: an integer number. Default: default output unit. -
-
root
-
Process from which to print -Scope: local -
-Type: optional -
-Intent: in. -
-Specified as: an integer number between 0 and $np-1$, in which case -the specified process will print the description, or $-1$, in which case -all processes will print. Default: 0. -
-
- -

-

- - - diff --git a/docs/html/node133.html b/docs/html/node133.html deleted file mode 100644 index fadd4e4b..00000000 --- a/docs/html/node133.html +++ /dev/null @@ -1,92 +0,0 @@ - - - - - -clone -- clone current preconditioner - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: free Free - Up: Preconditioner routines - Previous: descr Prints -   Contents -
-
- - -

-clone -- clone current - preconditioner -

- -
-call  prec%clone(precout,info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
prec
-
the preconditioner. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
precout
-
A copy of the input object. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node134.html b/docs/html/node134.html deleted file mode 100644 index c98f860c..00000000 --- a/docs/html/node134.html +++ /dev/null @@ -1,107 +0,0 @@ - - - - - -free -- Free a preconditioner - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Iterative Methods - Up: Preconditioner routines - Previous: clone clone -   Contents -
-
- - -

-free -- Free a preconditioner -

- -

-

-call prec%free(info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
prec
-
the preconditioner. -
-Scope: local. -
-Type: required -
-Intent: inout. -
-Specified as: a preconditioner data structure precdatapsb_prec_type. -
-
On Exit
-

-

-
prec
-
Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a preconditioner data structure precdatapsb_prec_type. -
-
info
-
Scope: global -
-Type: required -
-Intent: out. -
-Error code: if no error, 0 is returned. -
-
-Notes -Releases all internal storage. - -

-

- - - diff --git a/docs/html/node135.html b/docs/html/node135.html deleted file mode 100644 index 9dda9479..00000000 --- a/docs/html/node135.html +++ /dev/null @@ -1,76 +0,0 @@ - - - - - -Iterative Methods - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_krylov Krylov - Up: userhtml - Previous: free Free -   Contents -
-
- - -

- -
-Iterative Methods -

- -

-In this chapter we provide routines for preconditioners and iterative -methods. The interfaces for Krylov subspace methods are available in -the module psb_krylov_mod. - -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node136.html b/docs/html/node136.html deleted file mode 100644 index 87bb9d9b..00000000 --- a/docs/html/node136.html +++ /dev/null @@ -1,440 +0,0 @@ - - - - - -psb_krylov -- Krylov Methods Driver Routine - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Contents -
-
- - -

-
-psb_krylov -- Krylov Methods Driver - Routine -

- -

-This subroutine is a driver that provides a general interface for all -the Krylov-Subspace family methods implemented in PSBLAS version 2. - -

-The stopping criterion can take the following values: -

-
1
-
normwise backward error in the infinity -norm; the iteration is stopped when -

-
- - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath} -
-
-

-
-
2
-
Relative residual in the 2-norm; the iteration is stopped -when -

-
- - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath} -
-
-

-
-
3
-
Relative residual reduction in the 2-norm; the iteration is stopped -when -

-
- - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert r_0\Vert _2} < eps \end{displaymath} -
-
-

-
-
-The behaviour is controlled by 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 $i$-th iteration. - -

-
-\begin{lstlisting} -call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& -& itmax,iter,err,itrace,irst,istop,cond) -\end{lstlisting} -
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
method
-
a string that defines the iterative method to be - used. Supported values are: -
-
CG:
-
the Conjugate Gradient method; - -
-
CGS:
-
the Conjugate Gradient Stabilized method; - -

-

-
GCR:
-
the Generalized Conjugate Residual method; - -
-
FCG:
-
the Flexible Conjugate Gradient method5; - -

-

-
BICG:
-
the Bi-Conjugate Gradient method; - -
-
BICGSTAB:
-
the Bi-Conjugate Gradient Stabilized method; - -
-
BICGSTABL:
-
the Bi-Conjugate Gradient Stabilized method with restarting; - -
-
RGMRES:
-
the Generalized Minimal Residual method with restarting. - -
-
-
-
a
-
the local portion of global sparse matrix -$A$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
prec
-
The data structure containing the preconditioner. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type precdatapsb_prec_type. -
-
b
-
The RHS vector. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
-
x
-
The initial guess. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
-
eps
-
The stopping tolerance. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a real number. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
itmax
-
The maximum number of iterations to perform. -
-Scope: global -
-Type: optional -
-Intent: 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. If $=0$ print a message in - case of convergence failure. -
-Scope: global -
-Type: optional -
-Intent: in. -
-Default: $itrace = -1$. -
-
irst
-
An integer specifying the restart parameter. -
-Scope: global -
-Type: optional. -
-Intent: in. -
-Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES -methods, otherwise it is ignored. - -

-

-
istop
-
An integer specifying the stopping criterion. -
-Scope: global -
-Type: optional. -
-Intent: in. -
-Values: 1: use the normwise backward error, 2: use the scaled 2-norm -of the residual, 3: use the residual reduction in the 2-norm. Default: 2. -
-
On Return
-
-
-
x
-
The computed solution. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
-
iter
-
The number of iterations performed. -
-Scope: global -
-Type: optional -
-Intent: out. -
-Returned as: an integer variable. -
-
err
-
The convergence estimate on exit. -
-Scope: global -
-Type: optional -
-Intent: out. -
-Returned as: a real number. -
-
cond
-
An estimate of the condition number of matrix $A$; only - available with the $CG$ method on real data. -
-Scope: global -
-Type: optional -
-Intent: out. -
-Returned as: a real number. A correct result will be greater than or -equal to one; if specified for non-real data, or an error occurred, -zero is returned. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- -

- -

- -

- - -next - -up - -previous - -contents -
- Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Contents
- - - - diff --git a/docs/html/node137.html b/docs/html/node137.html deleted file mode 100644 index 4717ee2d..00000000 --- a/docs/html/node137.html +++ /dev/null @@ -1,180 +0,0 @@ - - - - - -Bibliography - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: About this document ... - Up: userhtml - Previous: psb_krylov Krylov -   Contents -

- - -

-Bibliography -

1 -
- D. Barbieri, V. Cardellini, S. Filippone and D. Rouson -Design Patterns for Scientific Computations on Sparse Matrices, - HPSS 2011, Algorithms and Programming Tools for Next-Generation High-Performance Scientific Software, Bordeaux, Sep. 2011 - -

-

2 -
-G. Bella, S. Filippone, A. De Maio and M. Testa, -A Simulation Model for Forest Fires, -in J. Dongarra, K. Madsen, J. Wasniewski, editors, -Proceedings of PARA 04 Workshop on State of the Art -in Scientific Computing, pp. 546-553, Lecture Notes in Computer Science, -Springer, 2005. -

3 -
A. Buttari, D. di Serafino, P. D'Ambra, S. Filippone,
-2LEV-D2P4: a package of high-performance preconditioners,
-Applicable Algebra in Engineering, Communications and Computing, -Volume 18, Number 3, May, 2007, pp. 223-239 -

4 -
P. D'Ambra, S. Filippone, D. Di Serafino
-On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners -
-Applied Numerical Mathematics, Elsevier Science, -Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196. - -

-

5 -
- Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., -An Extended Set of Fortran Basic Linear Algebra Subprograms, -ACM Trans. Math. Softw. vol. 14, 1-17, 1988. -

6 -
- Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., -A Set of level 3 Basic Linear Algebra Subprograms, -ACM Trans. Math. Softw. vol. 16, 1-17, 1990. -

7 -
-J. J. Dongarra and R. C. Whaley, -A User's Guide to the BLACS v. 1.1, -Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of -Tennessee, March 1995 (updated May 1997). -

8 -
-I. Duff, M. Marrone, G. Radicati and C. Vittoli, -Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: -a User Level Interface, -ACM Transactions on Mathematical Software, 23(3), pp. 379-401, 1997. -

9 -
-I. Duff, M. Heroux and R. Pozo, -An Overview of the Sparse Basic Linear -Algebra Subprograms: the New Standard from the BLAS Technical Forum, -ACM Transactions on Mathematical Software, 28(2), pp. 239-267, 2002. -

10 -
-S. Filippone and M. Colajanni, -PSBLAS: A Library for Parallel Linear Algebra -Computation on Sparse Matrices, -
-ACM Transactions on Mathematical Software, 26(4), pp. 527-550, 2000. -

11 -
-S. Filippone and A. Buttari, -Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003, -
-ACM Transactions on Mathematical Software, 38(4), 2012. -

12 -
-S. Filippone, P. D'Ambra, M. Colajanni, -Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics -Applications Code on Linux Clusters, -in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, -Parallel Computing - Advances & Current Issues, -pp. 441-448, Imperial College Press, 2002. -

13 -
- Gamma, E., Helm, R., Johnson, R., and Vlissides, - J. 1995. - Design Patterns: Elements of Reusable Object-Oriented Software. - Addison-Wesley. - -

-

14 -
-Karypis, G. and Kumar, V., -METIS: Unstructured Graph Partitioning and Sparse Matrix - Ordering System. -Minneapolis, MN 55455: University of Minnesota, Department of - Computer Science, 1995. -Internet Address: http://www.cs.umn.edu/~karypis. -

15 -
-Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., - Basic Linear Algebra Subprograms for Fortran usage, -ACM Trans. Math. Softw. vol. 5, 38-329, 1979. - -

-

16 -
-Machiels, L. and Deville, M. -Fortran 90: An entry to object-oriented programming for the solution - of partial differential equations. -ACM Trans. Math. Softw. vol. 23, 32-49. -

17 -
-Metcalf, M., Reid, J. and Cohen, M. -Fortran 95/2003 explained. -Oxford University Press, 2004. -

18 -
-Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The - Object-Oriented Way. Cambridge University Press (2011) - -

-

19 -
-M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, -MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, -MIT Press, 1998. -
- -

-

- - - diff --git a/docs/html/node138.html b/docs/html/node138.html deleted file mode 100644 index c57092be..00000000 --- a/docs/html/node138.html +++ /dev/null @@ -1,67 +0,0 @@ - - - - - -About this document ... - - - - - - - - - - - - - - - - -
-next - -up - -previous - -contents -
- Up: userhtml - Previous: Bibliography -   Contents -
-
- - -

-About this document ... -

-

-This document was generated using the -LaTeX2HTML translator Version 2018 (Released Feb 1, 2018) -

-Copyright © 1993, 1994, 1995, 1996, -Nikos Drakos, -Computer Based Learning Unit, University of Leeds. -
-Copyright © 1997, 1998, 1999, -Ross Moore, -Mathematics Department, Macquarie University, Sydney. -

-The command line arguments were:
- latex2html -local_icons -noaddress -dir ../../html userhtml.tex -

-The translation was initiated on 2019-12-12 -

- - - diff --git a/docs/html/node14.html b/docs/html/node14.html deleted file mode 100644 index 479dc5bd..00000000 --- a/docs/html/node14.html +++ /dev/null @@ -1,90 +0,0 @@ - - - - - -get_global_rows -- Get number of global rows - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_global_cols Get - Up: Descriptor data structure - Previous: get_local_cols Get -   Contents -
-
- - -

-get_global_rows -- Get number of global rows -

- -

-

-nr = desc%get_global_rows()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of global rows, i.e. the size of the - global index space. -
-
- -

-

- - - diff --git a/docs/html/node15.html b/docs/html/node15.html deleted file mode 100644 index 04fda03d..00000000 --- a/docs/html/node15.html +++ /dev/null @@ -1,90 +0,0 @@ - - - - - -get_global_cols -- Get number of global cols - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_global_indices Get - Up: Descriptor data structure - Previous: get_global_rows Get -   Contents -
-
- - -

-get_global_cols -- Get number of global cols -

- -

-

-nr = desc%get_global_cols()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of global cols; usually this is equal - to the number of global rows. -
-
- -

-

- - - diff --git a/docs/html/node16.html b/docs/html/node16.html deleted file mode 100644 index ddfd63b5..00000000 --- a/docs/html/node16.html +++ /dev/null @@ -1,99 +0,0 @@ - - - - - -get_global_indices -- Get vector of global indices - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_context Get - Up: Descriptor data structure - Previous: get_global_cols Get -   Contents -
-
- - -

-get_global_indices -- Get vector of global indices -

- -

-

-myidx = desc%get_global_indices([owned])
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-Type: required. -
-
owned
-
Choose if you only want owned indices - (owned=.true.) or also halo indices (owned=.false.). -Scope: local. -
-Type: optional; default: .true.. -
-
- -

-

-
On Return
-
-
-
Function value
-
The global indices, returned as an allocatable - integer array of kind psb_lpk_ and rank 1. -
-
- -

-

- - - diff --git a/docs/html/node17.html b/docs/html/node17.html deleted file mode 100644 index d8fd42a4..00000000 --- a/docs/html/node17.html +++ /dev/null @@ -1,89 +0,0 @@ - - - - - -get_context -- Get communication context - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Clone clone - Up: Descriptor data structure - Previous: get_global_indices Get -   Contents -
-
- - -

-get_context -- Get communication context -

- -

-

-ictxt = desc%get_context()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
Function value
-
The communication context. -
-
- -

-

- - - diff --git a/docs/html/node18.html b/docs/html/node18.html deleted file mode 100644 index b1188118..00000000 --- a/docs/html/node18.html +++ /dev/null @@ -1,92 +0,0 @@ - - - - - -Clone -- clone current object - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: CNV convert - Up: Descriptor data structure - Previous: get_context Get -   Contents -
-
- - -

-Clone -- clone current object -

- -

-

-call  desc%clone(descout,info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
descout
-
A copy of the input object. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node19.html b/docs/html/node19.html deleted file mode 100644 index 947813c1..00000000 --- a/docs/html/node19.html +++ /dev/null @@ -1,89 +0,0 @@ - - - - - -CNV -- convert internal storage format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cd_get_large_threshold Get - Up: Descriptor data structure - Previous: Clone clone -   Contents -
-
- - -

-CNV -- convert internal storage format -

- -

-

-call  desc%cnv(mold)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope: local. -
-
mold
-
the desired integer storage format. -
-Scope: local. -
-Specified as: a object of type derived from (integer) vbasedatapsb_T_base_vect_type. -
-
-The mold arguments may be -employed to interface with special devices, such as GPUs and other -accelerators. - -

-

- - - diff --git a/docs/html/node2.html b/docs/html/node2.html deleted file mode 100644 index a0033b2b..00000000 --- a/docs/html/node2.html +++ /dev/null @@ -1,169 +0,0 @@ - - - - - -Introduction - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: General overview - Up: userhtml - Previous: Contents -   Contents -
-
- - -

-
-Introduction -

- -

-The PSBLAS library, developed with the aim to facilitate the -parallelization of computationally intensive scientific applications, -is designed to address parallel implementation of iterative solvers -for sparse linear systems through the distributed memory paradigm. It -includes routines for multiplying sparse matrices by dense matrices, -solving block diagonal systems with triangular diagonal entries, -preprocessing sparse matrices, and contains additional routines for -dense matrix operations. The current implementation of PSBLAS -addresses a distributed memory execution model operating with message -passing. - -

-The PSBLAS library version 3 is implemented in - the Fortran 2003 [17] programming language, with reuse and/or - adaptation of existing Fortran 77 and Fortran 95 software, plus a - handful of C routines. - -

-The use of Fortran 2003 offers a number of advantages over Fortran 95, -mostly in the handling of requirements for evolution and adaptation of -the library to new computing architectures and integration of -new algorithms. -For a detailed discussion of our design see [11]; other -works discussing advanced programming in Fortran 2003 -include [1,18]; sufficient support for -Fortran 2003 is now available from many compilers, including the GNU -Fortran compiler from the Free Software Foundation (as of version 4.8). - -

-Previous approaches have been based on mixing Fortran 95, with its -support for object-based design, with other languages; these have -been advocated by a number of authors, -e.g. [16]. Moreover, the Fortran 95 facilities for dynamic -memory management and interface overloading greatly enhance the -usability of the PSBLAS -subroutines. In this way, the library can take care of runtime memory -requirements that are quite difficult or even impossible to predict at -implementation or compilation time. - -

-The presentation of the -PSBLAS library follows the general structure of the proposal for -serial Sparse BLAS [8,9], which in its turn is based on the -proposal for BLAS on dense matrices [15,5,6]. - -

-The applicability of sparse iterative solvers to many different areas -causes some terminology problems because the same concept may be -denoted through different names depending on the application area. The -PSBLAS features presented in this document will be discussed referring -to a finite difference discretization of a Partial Differential -Equation (PDE). However, the scope of the library is wider than -that: for example, it can be applied to finite element discretizations -of PDEs, and even to different classes of problems such as nonlinear -optimization, for example in optimal control problems. - -

-The design of a solver for sparse linear systems is driven by many -conflicting objectives, such as limiting occupation of storage -resources, exploiting regularities in the input data, exploiting -hardware characteristics of the parallel platform. To achieve an -optimal communication to computation ratio on distributed memory -machines it is essential to keep the data locality as high as -possible; this can be done through an appropriate data allocation -strategy. The choice of the preconditioner is another very important -factor that affects efficiency of the implemented application. Optimal -data distribution requirements for a given preconditioner may conflict -with distribution requirements of the rest of the solver. Finding the -optimal trade-off may be very difficult because it is application -dependent. Possible solutions to these problems and other important -inputs to the development of the PSBLAS software package have come from -an established experience in applying the PSBLAS solvers to -computational fluid dynamics applications. - -

- -

- - -next - -up - -previous - -contents -
- Next: General overview - Up: userhtml - Previous: Contents -   Contents
- - - - diff --git a/docs/html/node20.html b/docs/html/node20.html deleted file mode 100644 index 48a86616..00000000 --- a/docs/html/node20.html +++ /dev/null @@ -1,80 +0,0 @@ - - - - - -psb_cd_get_large_threshold -- Get threshold for index mapping switch - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cd_set_large_threshold Set - Up: Descriptor data structure - Previous: CNV convert -   Contents -
-
- - -

-psb_cd_get_large_threshold -- Get threshold for - index mapping switch -

- -

-

-ith = psb_cd_get_large_threshold()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Return
-
-
-
Function value
-
The current value for the size threshold. - -

-

-
- -

-

- - - diff --git a/docs/html/node21.html b/docs/html/node21.html deleted file mode 100644 index 8f273111..00000000 --- a/docs/html/node21.html +++ /dev/null @@ -1,91 +0,0 @@ - - - - - -psb_cd_set_large_threshold -- Set threshold for index mapping switch - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_p_adjcncy Get - Up: Descriptor data structure - Previous: psb_cd_get_large_threshold Get -   Contents -
-
- - -

-psb_cd_set_large_threshold -- Set threshold for - index mapping switch -

- -

-

-call psb_cd_set_large_threshold(ith)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
ith
-
the new threshold for communication descriptors. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer value greater than zero. -
-
-Note: the threshold value is only queried by the library at the time a -call to psb_cdall is executed, therefore changing the threshold -has no effect on communication descriptors that have already been -initialized. Moreover the threshold must have the same value on all -processes. - -

-

- - - diff --git a/docs/html/node22.html b/docs/html/node22.html deleted file mode 100644 index a414b686..00000000 --- a/docs/html/node22.html +++ /dev/null @@ -1,81 +0,0 @@ - - - - - -get_p_adjcncy -- Get process adjacency list - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: set_p_adjcncy Set - Up: Descriptor data structure - Previous: psb_cd_set_large_threshold Set -   Contents -
-
- - -

-get_p_adjcncy -- Get process adjacency list -

- -

-

-list =  desc%get_p_adjcncy()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Return
-
-
-
Function value
-
The current list of adjacent processes, - i.e. processes with which the current one has to exchange halo - data. - -

-

-
- -

-

- - - diff --git a/docs/html/node23.html b/docs/html/node23.html deleted file mode 100644 index 1c75d9a6..00000000 --- a/docs/html/node23.html +++ /dev/null @@ -1,90 +0,0 @@ - - - - - -set_p_adjcncy -- Set process adjacency list - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: fnd_owner Find - Up: Descriptor data structure - Previous: get_p_adjcncy Get -   Contents -
-
- - -

-set_p_adjcncy -- Set process adjacency list -

- -

-

-call desc%set_p_adjcncy(list)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
list
-
the list of adjacent processes. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: a one-dimensional array of integers of kind psb_ipk_. -
-
-Note: this method can be called after a call to psb_cdall and -before a call to psb_cdasb. The user is specifying here some -knowledge about which processes are topological neighbours of the -current process. The availability of this information may speed up the -execution of the assembly call psb_cdasb. - -

-

- - - diff --git a/docs/html/node24.html b/docs/html/node24.html deleted file mode 100644 index e75d71da..00000000 --- a/docs/html/node24.html +++ /dev/null @@ -1,103 +0,0 @@ - - - - - -fnd_owner -- Find the owner process of a set of indices - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Named Constants - Up: Descriptor data structure - Previous: set_p_adjcncy Set -   Contents -
-
- - -

-fnd_owner -- Find the owner process of a set of indices -

- -

-

-call desc%fnd_owner(idx,iprc,info)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
idx
-
the list of global indices for which we need the owning processes. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: a one-dimensional array of integers of kind psb_lpk_. -
-
On Return
-
-
-
iprc
-
the list of processes owning the indices in idx. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: an allocatable one-dimensional array of integers of kind psb_ipk_. -
-
-Note: this method may or may not actually require communications, depending on -the exact internal data storage; given that the choice of storage may -be altered by runtime parameters, it is necessary for safety that this -method is called by all processes. - -

-

- - - diff --git a/docs/html/node25.html b/docs/html/node25.html deleted file mode 100644 index 753d77c4..00000000 --- a/docs/html/node25.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - -Named Constants - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Sparse Matrix class - Up: Descriptor data structure - Previous: fnd_owner Find -   Contents -
-
- - -

- -
-Named Constants -

-
-
psb_none_
-
Generic no-op; -
-
psb_root_
-
Default root process for broadcast and scatter operations; -
-
psb_nohalo_
-
Do not fetch halo elements; -
-
psb_halo_
-
Fetch halo elements from neighbouring processes; -
-
psb_sum_
-
Sum overlapped elements -
-
psb_avg_
-
Average overlapped elements -
-
psb_comm_halo_
-
Exchange data based on the halo_index - list; -
-
psb_comm_ext_
-
Exchange data based on the ext_index - list; -
-
psb_comm_ovr_
-
Exchange data based on the ovrlap_index - list; -
-
psb_comm_mov_
-
Exchange data based on the ovr_mst_idx - list; - -

-

-
- -

-

- - - diff --git a/docs/html/node26.html b/docs/html/node26.html deleted file mode 100644 index d72ee999..00000000 --- a/docs/html/node26.html +++ /dev/null @@ -1,216 +0,0 @@ - - - - - -Sparse Matrix class - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Sparse Matrix Methods - Up: Data Structures and Classes - Previous: Named Constants -   Contents -
-
- - -

- -
-Sparse Matrix class -

-The spdatapsb_Tspmat_type 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 [13] as detailed -in [11]; the type declaration is shown in -figure 4 where T is a placeholder for the -data type and precision variants -
-
S
-
Single precision real; -
-
D
-
Double precision real; -
-
C
-
Single precision complex; -
-
Z
-
Double precision complex. -
-
-The actual data is contained in the polymorphic component a%a -of type spbasedatapsb_T_base_sparse_mat; 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 psb_spasb routine. - -
- - - -
Figure 4: - The PSBLAS defined data type that - contains a sparse matrix.
-
- -
-
-  type :: psb_Tspmat_type
-    class(psb_T_base_sparse_mat), allocatable  :: a 
-  end type  psb_Tspmat_type
-
-
-
-
-The following very common formats are precompiled in PSBLAS and thus -are always available: -
-
psb_T_coo_sparse_mat
-
Coordinate storage; -
-
psb_T_csr_sparse_mat
-
Compressed storage by rows; -
-
psb_T_csc_sparse_mat
-
Compressed storage by columns; -
-
-The inner sparse matrix has an associated state, which can take the -following values: -
-
Build:
-
State entered after the first allocation, and before the - first assembly; in this state it is possible to add nonzero entries. -
-
Assembled:
-
State entered after the assembly; computations using - the sparse matrix, such as matrix-vector products, are only possible - in this state; -
-
Update:
-
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. -
-
-The only storage variant supporting the build state is COO; all other -variants are obtained by conversion to/from it. - -

-

- -Subsections - - - - -
- - -next - -up - -previous - -contents -
- Next: Sparse Matrix Methods - Up: Data Structures and Classes - Previous: Named Constants -   Contents
- - - - diff --git a/docs/html/node27.html b/docs/html/node27.html deleted file mode 100644 index a706ee85..00000000 --- a/docs/html/node27.html +++ /dev/null @@ -1,59 +0,0 @@ - - - - - -Sparse Matrix Methods - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_nrows Get - Up: Sparse Matrix class - Previous: Sparse Matrix class -   Contents -
-
- - -

-Sparse Matrix Methods -

- -

-

- - - diff --git a/docs/html/node28.html b/docs/html/node28.html deleted file mode 100644 index 50a33bc8..00000000 --- a/docs/html/node28.html +++ /dev/null @@ -1,89 +0,0 @@ - - - - - -get_nrows -- Get number of rows in a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_ncols Get - Up: Sparse Matrix class - Previous: Sparse Matrix Methods -   Contents -
-
- - -

-get_nrows -- Get number of rows in a sparse matrix -

- -

-

-nr = a%get_nrows()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of rows of sparse matrix a. -
-
- -

-

- - - diff --git a/docs/html/node29.html b/docs/html/node29.html deleted file mode 100644 index 6b49dadc..00000000 --- a/docs/html/node29.html +++ /dev/null @@ -1,90 +0,0 @@ - - - - - -get_ncols -- Get number of columns in a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_nnzeros Get - Up: Sparse Matrix class - Previous: get_nrows Get -   Contents -
-
- - -

-get_ncols -- Get number of columns in a sparse - matrix -

- -

-

-nc = a%get_ncols()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of columns of sparse matrix a. -
-
- -

-

- - - diff --git a/docs/html/node3.html b/docs/html/node3.html deleted file mode 100644 index 0014c0b7..00000000 --- a/docs/html/node3.html +++ /dev/null @@ -1,196 +0,0 @@ - - - - - -General overview - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Basic Nomenclature - Up: userhtml - Previous: Introduction -   Contents -
-
- - -

- -
-General overview -

-The PSBLAS library is designed to handle the implementation of -iterative solvers for sparse linear systems on distributed memory -parallel computers. The system coefficient matrix $A$ must be square; -it may be real or complex, nonsymmetric, and its sparsity pattern -needs not to be symmetric. The serial computation parts are based on -the serial sparse BLAS, so that any extension made to the data -structures of the serial kernels is available to the parallel -version. The overall design and parallelization strategy have been -influenced by the structure of the ScaLAPACK parallel -library. The layered structure of the PSBLAS library -is shown in figure 1; lower layers of the library -indicate an encapsulation relationship with upper layers. The ongoing -discussion focuses on the Fortran 2003 layer immediately below the -application layer. -The serial parts of the computation on each process are executed through -calls to the serial sparse BLAS subroutines. -In a similar way, the inter-process message exchanges are encapsulated -in an applicaiton layer that has been strongly inspired by the Basic -Linear Algebra Communication Subroutines (BLACS) library [7]. -Usually there is no need to deal directly with MPI; however, in some -cases, MPI routines are used directly to improve efficiency. For -further details on our communication layer see Sec. 7. - -

- -

- - - -
Figure 1: -PSBLAS library components hierarchy.
-
-\includegraphics[scale=0.65]{figures/psblas.eps} - -\includegraphics[scale=0.65]{figures/psblas} - -
-
- -

-The type of linear system matrices that we address typically arise in the -numerical solution of PDEs; in such a context, -it is necessary to pay special attention to the -structure of the problem from which the application originates. -The nonzero pattern of a matrix arising from the -discretization of a PDE is influenced by various factors, such as the -shape of the domain, the discretization strategy, and -the equation/unknown ordering. The matrix itself can be interpreted as -the adjacency matrix of the graph associated with the discretization -mesh. - -

-The distribution of the coefficient matrix for the linear system is -based on the “owner computes” rule: -the variable associated to each mesh point is assigned to a process -that will own the corresponding row in the coefficient matrix and -will carry out all related computations. This allocation strategy -is equivalent to a partition of the discretization mesh into sub-domains. -Our library supports any distribution that keeps together -the coefficients of each matrix row; there are no other constraints on -the variable assignment. -This choice is consistent with simple data distributions -such as CYCLIC(N) and BLOCK, -as well as completely arbitrary assignments of -equation indices to processes. -In particular it is consistent with the -usage of graph partitioning tools commonly available in the -literature, e.g. METIS [14]. -Dense vectors conform to sparse -matrices, that is, the entries of a vector follow the same distribution -of the matrix rows. - -

-We assume that the sparse matrix is built in parallel, where each -process generates its own portion. We never require that the entire -matrix be available on a single node. However, it is possible -to hold the entire matrix in one process and distribute it -explicitly1, even though the resulting memory -bottleneck would make this option unattractive in most cases. - -

-

- -Subsections - - - - -
- - -next - -up - -previous - -contents -
- Next: Basic Nomenclature - Up: userhtml - Previous: Introduction -   Contents
- - - - diff --git a/docs/html/node30.html b/docs/html/node30.html deleted file mode 100644 index 1a01acaf..00000000 --- a/docs/html/node30.html +++ /dev/null @@ -1,100 +0,0 @@ - - - - - -get_nnzeros -- Get number of nonzero elements in a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_size Get - Up: Sparse Matrix class - Previous: get_ncols Get -   Contents -
-
- - -

-get_nnzeros -- Get number of nonzero elements - in a sparse matrix -

- -

-

-nz = a%get_nnzeros()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of nonzero elements stored in sparse matrix a. -
-
- -

-Notes - -

    -
  1. The function value is specific to the storage format of matrix - a; some storage formats employ padding, thus the returned - value for the same matrix may be different for different storage choices. -
    2. -
- -

-

- - - diff --git a/docs/html/node31.html b/docs/html/node31.html deleted file mode 100644 index 68c59182..00000000 --- a/docs/html/node31.html +++ /dev/null @@ -1,91 +0,0 @@ - - - - - -get_size -- Get maximum number of nonzero elements in a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: sizeof Get - Up: Sparse Matrix class - Previous: get_nnzeros Get -   Contents -
-
- - -

-get_size -- Get maximum number of nonzero elements - in a sparse matrix -

- -

-

-maxnz = a%get_size()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The maximum number of nonzero elements that can - be stored in sparse matrix a using its current memory allocation. -
-
- -

-

- - - diff --git a/docs/html/node32.html b/docs/html/node32.html deleted file mode 100644 index aeae7bf5..00000000 --- a/docs/html/node32.html +++ /dev/null @@ -1,92 +0,0 @@ - - - - - -sizeof -- Get memory occupation in bytes -of a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_fmt Short - Up: Sparse Matrix class - Previous: get_size Get -   Contents -
-
- - -

-sizeof -- Get memory occupation in bytes -of a sparse matrix -

- -

-

-memory_size = a%sizeof()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The memory occupation in bytes. -
-
- -

-

- - - diff --git a/docs/html/node33.html b/docs/html/node33.html deleted file mode 100644 index 5647db1b..00000000 --- a/docs/html/node33.html +++ /dev/null @@ -1,91 +0,0 @@ - - - - - -get_fmt -- Short description of the dynamic type - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: is_bld, is_upd, is_asb - Up: Sparse Matrix class - Previous: sizeof Get -   Contents -
-
- - -

-get_fmt -- Short description of the dynamic type -

- -

-

-write(*,*) a%get_fmt()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
A short string describing the dynamic type of - the matrix. Predefined values include NULL, COO, - CSR and CSC. -
-
- -

-

- - - diff --git a/docs/html/node34.html b/docs/html/node34.html deleted file mode 100644 index f3f44ce6..00000000 --- a/docs/html/node34.html +++ /dev/null @@ -1,92 +0,0 @@ - - - - - -is_bld, is_upd, is_asb -- Status check - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: is_lower, is_upper, is_triangle, is_unit - Up: Sparse Matrix class - Previous: get_fmt Short -   Contents -
-
- - -

-is_bld, is_upd, is_asb -- Status check -

- -

-

-if (a%is_bld()) then 
-if (a%is_upd()) then 
-if (a%is_asb()) then 
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
A logical value indicating whether the - matrix is in the Build, Update or Assembled state, respectively. -
-
- -

-

- - - diff --git a/docs/html/node35.html b/docs/html/node35.html deleted file mode 100644 index 40c4238a..00000000 --- a/docs/html/node35.html +++ /dev/null @@ -1,96 +0,0 @@ - - - - - -is_lower, is_upper, is_triangle, is_unit -- Format check - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: cscnv Convert - Up: Sparse Matrix class - Previous: is_bld, is_upd, is_asb -   Contents -
-
- - -

-is_lower, is_upper, is_triangle, is_unit -- - Format check -

- -

-

-if (a%is_triangle()) then 
-if (a%is_upper()) then 
-if (a%is_lower()) then 
-if (a%is_unit()) then 
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
A logical value indicating whether the - matrix is triangular; if is_triangle() returns .true. - check also if it is lower, upper and with a unit (i.e. assumed) - diagonal. -
-
- -

-

- - - diff --git a/docs/html/node36.html b/docs/html/node36.html deleted file mode 100644 index dc187317..00000000 --- a/docs/html/node36.html +++ /dev/null @@ -1,114 +0,0 @@ - - - - - -cscnv -- Convert to a different storage format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: csclip Reduce - Up: Sparse Matrix class - Previous: is_lower, is_upper, is_triangle, is_unit -   Contents -
-
- - -

-cscnv -- Convert to a different storage format -

- -

-

-call  a%cscnv(b,info [, type, mold, dupl])
-call  a%cscnv(info [, type, mold, dupl])
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
type
-
a string requesting a new format. -
-Type: optional. -
-
mold
-
a variable of class(psb_T_base_sparse_mat) requesting a new format. -
-Type: optional. -
-
dupl
-
an integer value specifing how to handle duplicates (see - Named Constants below) -
-
- -

-

-
On Return
-
-
-
b,a
-
A copy of a with a new storage format. -
-A variable of type psb_Tspmat_type. -
-
info
-
Return code. -
-
-The mold arguments may be -employed to interface with special devices, such as GPUs and other -accelerators. - -

-

- - - diff --git a/docs/html/node37.html b/docs/html/node37.html deleted file mode 100644 index 7e485ab7..00000000 --- a/docs/html/node37.html +++ /dev/null @@ -1,106 +0,0 @@ - - - - - -csclip -- Reduce to a submatrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: clean_zeros Eliminate - Up: Sparse Matrix class - Previous: cscnv Convert -   Contents -
-
- - -

-csclip -- Reduce to a submatrix -

- -
-    call a%csclip(b,info[,&
-       & imin,imax,jmin,jmax,rscale,cscale])
-
- -

-Returns the submatrix A(imin:imax,jmin:jmax), optionally -rescaling row/col indices to the range -1:imax-imin+1,1:jmax-jmin+1. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
imin,imax,jmin,jmax
-
Minimum and maximum row and column indices. -
-Type: optional. -
-
rscale,cscale
-
Whether to rescale row/column indices. -Type: optional. -
-
-
-
On Return
-
-
-
b
-
A copy of a submatrix of a. -
-A variable of type psb_Tspmat_type. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node38.html b/docs/html/node38.html deleted file mode 100644 index dd031c3b..00000000 --- a/docs/html/node38.html +++ /dev/null @@ -1,98 +0,0 @@ - - - - - -clean_zeros -- Eliminate zero coefficients - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_diag Get - Up: Sparse Matrix class - Previous: csclip Reduce -   Contents -
-
- - -

-clean_zeros -- Eliminate zero coefficients -

- -
-    call a%clean_zeros(info)
-
- -

-Eliminates zero coefficients in the input matrix. Note that depending -on the internal storage format, there may still be some amount of -zero padding in the output. - -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
-
-
On Return
-
-
-
a
-
The matrix a without zero coefficients. -
-A variable of type psb_Tspmat_type. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node39.html b/docs/html/node39.html deleted file mode 100644 index e9e7e818..00000000 --- a/docs/html/node39.html +++ /dev/null @@ -1,94 +0,0 @@ - - - - - -get_diag -- Get main diagonal - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: clip_diag Cut - Up: Sparse Matrix class - Previous: clean_zeros Eliminate -   Contents -
-
- - -

-get_diag -- Get main diagonal -

- -
-    call a%get_diag(d,info)
-
- -

-Returns a copy of the main diagonal. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
-
-
On Return
-
-
-
d
-
A copy of the main diagonal. -
-A one-dimensional array of the appropriate type. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node4.html b/docs/html/node4.html deleted file mode 100644 index 6cd9bef9..00000000 --- a/docs/html/node4.html +++ /dev/null @@ -1,222 +0,0 @@ - - - - - -Basic Nomenclature - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Library contents - Up: General overview - Previous: General overview -   Contents -
-
- - -

-Basic Nomenclature -

- -

-Our computational model implies that the data allocation on the -parallel distributed memory machine is guided by the structure of the -physical model, and specifically by the discretization mesh of the -PDE. - -

-Each point of the discretization mesh will have (at least) one -associated equation/variable, and therefore one index. We say that -point $i$ depends on point $j$ if the equation for a -variable associated with $i$ contains a term in $j$, or equivalently -if $a_{ij} \ne0$. -After the partition of the discretization mesh into sub-domains -assigned to the parallel processes, -we classify the points of a given sub-domain as following. -

-
Internal.
-
An internal point of - a given domain depends only on points of the -same domain. -If all points of a domain are assigned to one -process, then a computational step (e.g., a -matrix-vector product) of the -equations associated with the internal points requires no data -items from other domains and no communications. - -

-

-
Boundary.
-
A point of -a given domain is a boundary point if it depends on points -belonging to other domains. - -

-

-
Halo.
-
A halo point for a given domain is a point belonging to -another domain such that there is a boundary point which depends -on it. Whenever performing a computational step, such as a -matrix-vector product, the values associated with halo points are -requested from other domains. A boundary point of a given -domain is usually a halo point for some other domain2; therefore -the cardinality of the boundary points set denotes the amount of data - sent to other domains. -
-
Overlap.
-
An overlap point is a boundary point assigned to -multiple domains. Any operation that involves an overlap point -has to be replicated for each assignment. -
-
-Overlap points do not usually exist in the basic data -distributions; however they are a feature of Domain Decomposition -Schwarz preconditioners which are the subject of related research -work [4,3]. - -

-We denote the sets of internal, boundary and halo points for a given -subdomain by $\cal I$, $\cal B$ and $\cal H$. -Each subdomain is assigned to one process; each process usually -owns one subdomain, although the user may choose to assign more than -one subdomain to a process. If each process $i$ owns one -subdomain, the number of rows in the local sparse matrix is - -$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$, and the number of local columns -(i.e. those for which there exists at least one non-zero entry in the -local rows) is -$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$. - -

- -

- - - -
Figure 2: -Point classfication.
-
-\includegraphics[scale=0.65]{figures/points.eps} - -\rotatebox{-90}{\includegraphics[scale=0.65]{figures/points}} - -
-
- -

-This classification of mesh points guides the naming scheme that we -adopted in the library internals and in the data structures. We -explicitly note that “Halo” points are also often called “ghost” -points in the literature. - -

- -

- - -next - -up - -previous - -contents -
- Next: Library contents - Up: General overview - Previous: General overview -   Contents
- - - - diff --git a/docs/html/node40.html b/docs/html/node40.html deleted file mode 100644 index 8d7538d9..00000000 --- a/docs/html/node40.html +++ /dev/null @@ -1,94 +0,0 @@ - - - - - -clip_diag -- Cut out main diagonal - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: tril Return - Up: Sparse Matrix class - Previous: get_diag Get -   Contents -
-
- - -

-clip_diag -- Cut out main diagonal -

- -
-    call a%clip_diag(b,info)
-
- -

-Returns a copy of a without the main diagonal. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
-
-
On Return
-
-
-
b
-
A copy of a without the main diagonal. -
-A variable of type psb_Tspmat_type. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node41.html b/docs/html/node41.html deleted file mode 100644 index 29c451e2..00000000 --- a/docs/html/node41.html +++ /dev/null @@ -1,117 +0,0 @@ - - - - - -tril -- Return the lower triangle - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: triu Return - Up: Sparse Matrix class - Previous: clip_diag Cut -   Contents -
-
- - -

-tril -- Return the lower triangle -

- -
-    call a%tril(l,info[,&
-       & diag,imin,imax,jmin,jmax,rscale,cscale,u])
-
- -

-Returns the lower triangular part of submatrix -A(imin:imax,jmin:jmax), optionally rescaling row/col indices to -the range 1:imax-imin+1,1:jmax-jmin+1 and returing the -complementary upper triangle. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
diag
-
Include diagonals up to this one; diag=1 means the - first superdiagonal, diag=-1 means the first subdiagonal. -Default 0. -
-
imin,imax,jmin,jmax
-
Minimum and maximum row and column indices. -
-Type: optional. -
-
rscale,cscale
-
Whether to rescale row/column indices. -Type: optional. -
-
-
-
On Return
-
-
-
l
-
A copy of the lower triangle of a. -
-A variable of type psb_Tspmat_type. -
-
u
-
(optional) A copy of the upper triangle of a. -
-A variable of type psb_Tspmat_type. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node42.html b/docs/html/node42.html deleted file mode 100644 index 7accc9e2..00000000 --- a/docs/html/node42.html +++ /dev/null @@ -1,117 +0,0 @@ - - - - - -triu -- Return the upper triangle - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_set_mat_default Set - Up: Sparse Matrix class - Previous: tril Return -   Contents -
-
- - -

-triu -- Return the upper triangle -

- -
-    call a%triu(u,info[,&
-       & diag,imin,imax,jmin,jmax,rscale,cscale,l])
-
- -

-Returns the upper triangular part of submatrix -A(imin:imax,jmin:jmax), optionally rescaling row/col indices to -the range 1:imax-imin+1,1:jmax-jmin+1, and returing the -complementary lower triangle. -

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-A variable of type psb_Tspmat_type. -
-Scope: local. -
-
diag
-
Include diagonals up to this one; diag=1 means the - first superdiagonal, diag=-1 means the first subdiagonal. -Default 0. -
-
imin,imax,jmin,jmax
-
Minimum and maximum row and column indices. -
-Type: optional. -
-
rscale,cscale
-
Whether to rescale row/column indices. -Type: optional. -
-
-
-
On Return
-
-
-
u
-
A copy of the upper triangle of a. -
-A variable of type psb_Tspmat_type. -
-
l
-
(optional) A copy of the lower triangle of a. -
-A variable of type psb_Tspmat_type. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node43.html b/docs/html/node43.html deleted file mode 100644 index b12bc4ee..00000000 --- a/docs/html/node43.html +++ /dev/null @@ -1,80 +0,0 @@ - - - - - -psb_set_mat_default -- Set default storage format - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: clone Clone - Up: Sparse Matrix class - Previous: triu Return -   Contents -
-
- - -

-psb_set_mat_default -- Set default storage format -

- -

-

-call  psb_set_mat_default(a)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
a variable of class(psb_T_base_sparse_mat) requesting - a new default storage format. -
-Type: required. -
-
- -

-

- - - diff --git a/docs/html/node44.html b/docs/html/node44.html deleted file mode 100644 index 81c52bfd..00000000 --- a/docs/html/node44.html +++ /dev/null @@ -1,92 +0,0 @@ - - - - - -clone -- Clone current object - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Named Constants - Up: Sparse Matrix class - Previous: psb_set_mat_default Set -   Contents -
-
- - -

-clone -- Clone current object -

- -

-

-call  a%clone(b,info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
a
-
the sparse matrix. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
b
-
A copy of the input object. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node45.html b/docs/html/node45.html deleted file mode 100644 index fd97dac2..00000000 --- a/docs/html/node45.html +++ /dev/null @@ -1,82 +0,0 @@ - - - - - -Named Constants - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Dense Vector Data Structure - Up: Sparse Matrix class - Previous: clone Clone -   Contents -
-
- - -

- -
-Named Constants -

-
-
psb_dupl_ovwrt_
-
Duplicate coefficients should be overwritten - (i.e. ignore duplications) -
-
psb_dupl_add_
-
Duplicate coefficients should be added; -
-
psb_dupl_err_
-
Duplicate coefficients should trigger an error conditino -
-
psb_upd_dflt_
-
Default update strategy for matrix coefficients; -
-
psb_upd_srch_
-
Update strategy based on search into the data structure; -
-
psb_upd_perm_
-
Update strategy based on additional - permutation data (see tools routine description). -
-
- -

-

- - - diff --git a/docs/html/node46.html b/docs/html/node46.html deleted file mode 100644 index 565f1284..00000000 --- a/docs/html/node46.html +++ /dev/null @@ -1,164 +0,0 @@ - - - - - -Dense Vector Data Structure - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Vector Methods - Up: Data Structures and Classes - Previous: Named Constants -   Contents -
-
- - -

- -
-Dense Vector Data Structure -

-The vdatapsb_T_vect_type data structure -encapsulates the dense vectors in a way similar to sparse matrices, -i.e. including a base type vbasedata psb_T_base_vect_type. -The user will not, in general, access the vector components directly, -but rather via the routines of sec. 6. Among other -simple things, we define here an extraction method that can be used to -get a full copy of the part of the vector stored on the local -process. - -

-The type declaration is shown in -figure 5 where T is a placeholder for the -data type and precision variants -

-
I
-
Integer; -
-
S
-
Single precision real; -
-
D
-
Double precision real; -
-
C
-
Single precision complex; -
-
Z
-
Double precision complex. -
-
-The actual data is contained in the polymorphic component v%v; -the separation between the application and the actual data is -essential for cases where it is necessary to link to data storage made -available elsewhere outside the direct control of the -compiler/application, e.g. data stored in a graphics accelerator's -private memory. - -
- - - -
Figure 5: - The PSBLAS defined data type that - contains a dense vector.
-
- -
-
-  type psb_T_base_vect_type
-    TYPE(KIND_), allocatable :: v(:)
-  end type psb_T_base_vect_type
-
-  type psb_T_vect_type
-    class(psb_T_base_vect_type), allocatable :: v 
-  end type  psb_T_vect_type
-
-
-
-
- -

-

- -Subsections - - - - -
- - -next - -up - -previous - -contents -
- Next: Vector Methods - Up: Data Structures and Classes - Previous: Named Constants -   Contents
- - - - diff --git a/docs/html/node47.html b/docs/html/node47.html deleted file mode 100644 index aa1b2082..00000000 --- a/docs/html/node47.html +++ /dev/null @@ -1,57 +0,0 @@ - - - - - -Vector Methods - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_nrows Get - Up: Dense Vector Data Structure - Previous: Dense Vector Data Structure -   Contents -
-
- - -

-Vector Methods -

-
- - - diff --git a/docs/html/node48.html b/docs/html/node48.html deleted file mode 100644 index 295122e4..00000000 --- a/docs/html/node48.html +++ /dev/null @@ -1,89 +0,0 @@ - - - - - -get_nrows -- Get number of rows in a dense vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: sizeof Get - Up: Dense Vector Data Structure - Previous: Vector Methods -   Contents -
-
- - -

-get_nrows -- Get number of rows in a dense vector -

- -

-

-nr = v%get_nrows()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
v
-
the dense vector -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The number of rows of dense vector v. -
-
- -

-

- - - diff --git a/docs/html/node49.html b/docs/html/node49.html deleted file mode 100644 index 683f5a4a..00000000 --- a/docs/html/node49.html +++ /dev/null @@ -1,92 +0,0 @@ - - - - - -sizeof -- Get memory occupation in bytes -of a dense vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: set Set - Up: Dense Vector Data Structure - Previous: get_nrows Get -   Contents -
-
- - -

-sizeof -- Get memory occupation in bytes -of a dense vector -

- -

-

-memory_size = v%sizeof()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
v
-
the dense vector -
-Scope: local -
-
- -

-

-
On Return
-
-
-
Function value
-
The memory occupation in bytes. -
-
- -

-

- - - diff --git a/docs/html/node5.html b/docs/html/node5.html deleted file mode 100644 index 839ff848..00000000 --- a/docs/html/node5.html +++ /dev/null @@ -1,194 +0,0 @@ - - - - - -Library contents - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Application structure - Up: General overview - Previous: Basic Nomenclature -   Contents -
-
- - -

-Library contents -

- -

-The PSBLAS library consists of various classes of subroutines: -

-
Computational routines
-
comprising: - - -
-
Communication routines
-
handling halo and overlap - communications; -
-
Data management and auxiliary routines
-
including: - - -
-
Preconditioner routines
-
-
-
Iterative methods
-
a subset of Krylov subspace iterative - methods -
-
-The following naming scheme has been adopted for all the symbols -internally defined in the PSBLAS software package: - - -In the description of the subroutines, arguments or argument entries -are classified as: -
-
global
-
For input arguments, the value must be the same on all processes - participating in the subroutine call; for output arguments the value - is guaranteed to be the same. -
-
local
-
Each process has its own value(s) independently. -
-
-To finish our general description, we define a version string with the -constant -

-
- - -\begin{displaymath}\verb\vert psb_version_string_\vert\end{displaymath} -
-
-

-whose current value is 3.4.0 - -

- -

- - -next - -up - -previous - -contents -
- Next: Application structure - Up: General overview - Previous: Basic Nomenclature -   Contents
- - - - diff --git a/docs/html/node50.html b/docs/html/node50.html deleted file mode 100644 index faa0f674..00000000 --- a/docs/html/node50.html +++ /dev/null @@ -1,134 +0,0 @@ - - - - - -set -- Set contents of the vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: get_vect Get - Up: Dense Vector Data Structure - Previous: sizeof Get -   Contents -
-
- - -

-set -- Set contents of the vector -

- -

-

- call  v%set(alpha[,first,last])
- call  v%set(vect[,first,last])
- call  v%zero()
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
v
-
the dense vector -
-Scope: local -
-
alpha
-
A scalar value. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a number of the data -type indicated in Table 1. - -

-

-
first,last
-
Boundaries for setting in the vector. -
-Scope: local -
-Type: optional -
-Intent: in. -
-Specified - as: integers. -
-
vect
-
An array -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a number of the data -type indicated in Table 1. -
-
-Note that a call to v%zero() is provided as a shorthand, but -is equivalent to a call to v%set(zero) with the zero -constant having the appropriate type and kind. - -

-

-
On Return
-
-
-
v
-
the dense vector, with updated entries -
-Scope: local -
-
- -

-

- - - diff --git a/docs/html/node51.html b/docs/html/node51.html deleted file mode 100644 index 4e51dd47..00000000 --- a/docs/html/node51.html +++ /dev/null @@ -1,111 +0,0 @@ - - - - - -get_vect -- Get a copy of the vector contents - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: clone Clone - Up: Dense Vector Data Structure - Previous: set Set -   Contents -
-
- - -

-get_vect -- Get a copy of the vector contents -

- -

-

-extv = v%get_vect([n])
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
v
-
the dense vector -
-Scope: local -
-
n
-
Size to be returned -
-Scope: local. -
-Type: optional; default: entire vector. -
-

-

-
- -

-

-
On Return
-
-
-
Function value
-
An allocatable array holding a copy of the dense - vector contents. If the argument $n$ is specified, the size of the - returned array equals the minimum between $n$ and the internal size - of the vector, or 0 if $n$ is negative; otherwise, the size of the - array is the same as the internal size of the vector. -
-
- -

-

- - - diff --git a/docs/html/node52.html b/docs/html/node52.html deleted file mode 100644 index 7518ff29..00000000 --- a/docs/html/node52.html +++ /dev/null @@ -1,90 +0,0 @@ - - - - - -clone -- Clone current object - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Preconditioner data structure - Up: Dense Vector Data Structure - Previous: get_vect Get -   Contents -
-
- - -

-clone -- Clone current object -

- -
-call  x%clone(y,info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
the dense vector. -
-Scope: local. -
-
- -

-

-
On Return
-
-
-
y
-
A copy of the input object. -
-
info
-
Return code. -
-
- -

-

- - - diff --git a/docs/html/node53.html b/docs/html/node53.html deleted file mode 100644 index ae31e94e..00000000 --- a/docs/html/node53.html +++ /dev/null @@ -1,88 +0,0 @@ - - - - - -Preconditioner data structure - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Heap data structure - Up: Data Structures and Classes - Previous: clone Clone -   Contents -
-
- - -

- -
-Preconditioner data structure -

-Our base library offers support for simple well known preconditioners -like Diagonal Scaling or Block Jacobi with incomplete -factorization ILU(0). - -

-A preconditioner is held in the precdata psb_prec_type data structure reported in -figure 6. The psb_prec_type -data type may contain a simple preconditioning matrix with the -associated communication descriptor.The internal preconditioner is allocated appropriately with the -dynamic type corresponding to the desired preconditioner. - -

- - - -
Figure 6: -The PSBLAS defined data type that contains a preconditioner.
-
- -
-
-  type psb_Tprec_type
-    class(psb_T_base_prec_type), allocatable :: prec
-  end type psb_Tprec_type
-
-
-
- -

-

- - - diff --git a/docs/html/node54.html b/docs/html/node54.html deleted file mode 100644 index 540178d7..00000000 --- a/docs/html/node54.html +++ /dev/null @@ -1,97 +0,0 @@ - - - - - -Heap data structure - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Computational routines - Up: Data Structures and Classes - Previous: Preconditioner data structure -   Contents -
-
- - -

-Heap data structure -

- -

-Among the tools routines of sec. 6, we have a number -of sorting utilities; the heap sort is implemented in terms of heaps -having the following signatures: -

-
psb_T_heap
-
: a heap containing elements of type T, where T - can be i,s,c,d,z for integer, real and complex data; -
-
psb_T_idx_heap
-
: a heap containing elements of type T, as - above, together with an integer index. -
-
-Given a heap object, the following methods are defined on it: -
-
init
-
Initialize memory; also choose ascending or descending - order; -
-
howmany
-
Current heap occupancy; -
-
insert
-
Add an item (or an item and its index); -
-
get_first
-
Remove and return the first element; -
-
dump
-
Print on file; -
-
free
-
Release memory. -
-
-These objects are used in MLD2P4 to implement the factorization -algorithms. - -

-

- - - diff --git a/docs/html/node55.html b/docs/html/node55.html deleted file mode 100644 index 98b96864..00000000 --- a/docs/html/node55.html +++ /dev/null @@ -1,93 +0,0 @@ - - - - - -Computational routines - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_geaxpby General - Up: userhtml - Previous: Heap data structure -   Contents -
-
- - -

-Computational routines -

- -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node56.html b/docs/html/node56.html deleted file mode 100644 index b38e6ce8..00000000 --- a/docs/html/node56.html +++ /dev/null @@ -1,280 +0,0 @@ - - - - - -psb_geaxpby -- General Dense Matrix Sum - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_gedot Dot - Up: Computational routines - Previous: Computational routines -   Contents -
-
- - -

-psb_geaxpby -- General Dense Matrix Sum -

- -

-This subroutine is an interface to the computational kernel for -dense matrix sum: -

-
- - -\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath} -
-
-

- -

-

-call psb_geaxpby(alpha, x, beta, y, desc_a, info)
-
- -

-

-
- - - -
Table 1: -Data types
-
- - - - - - - - - - - - - - - - -
$x$, $y$, $\alpha$, $\beta$Subroutine
Short Precision Realpsb_geaxpby
Long Precision Realpsb_geaxpby
Short Precision Complexpsb_geaxpby
Long Precision Complexpsb_geaxpby
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
alpha
-
the scalar $\alpha$. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a number of the data -type indicated in Table 1. -
-
x
-
the local portion of global dense matrix -$x$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type -specified in Table 1. The rank of $x$ must be the same of $y$. -
-
beta
-
the scalar $\beta$. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a number of the data type indicated in Table 1. -
-
y
-
the local portion of the global dense matrix -$y$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of the type -indicated in Table 1. The rank of $y$ must be the same of $x$. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. - -

-

-
- -

-

-
On Return
-
-
-
y
-
the local portion of result submatrix $y$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of the type -indicated in Table 1. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_gedot Dot - Up: Computational routines - Previous: Computational routines -   Contents
- - - - diff --git a/docs/html/node57.html b/docs/html/node57.html deleted file mode 100644 index 47905789..00000000 --- a/docs/html/node57.html +++ /dev/null @@ -1,317 +0,0 @@ - - - - - -psb_gedot -- Dot Product - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_gedots Generalized - Up: Computational routines - Previous: psb_geaxpby General -   Contents -
-
- - -

-psb_gedot -- Dot Product -

- -

-This function computes dot product between two vectors $x$ and -$y$. -
-If $x$ and $y$ are real vectors -it computes dot-product as: -

-
- - -\begin{displaymath}dot \leftarrow x^T y\end{displaymath} -
-
-

-Else if $x$ and $y$ are complex vectors then it computes dot-product as: -

-
- - -\begin{displaymath}dot \leftarrow x^H y\end{displaymath} -
-
-

- -

-

-psb_gedot(x, y, desc_a, info [,global])
-
-

-
- - - -
Table 2: -Data types
-
- - - - - - - - - - - - - - - - -
$dot$, $x$, $y$Function
Short Precision Realpsb_gedot
Long Precision Realpsb_gedot
Short Precision Complexpsb_gedot
Long Precision Complexpsb_gedot
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 2. The rank of $x$ must be the same of $y$. -
-
y
-
the local portion of global dense matrix -$y$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 2. The rank of $y$ must be the same of $x$. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
global
-
Specifies whether the computation should include the - global reduction across all processes. -
-Scope: global -
-Type: optional. -
-Intent: in. -
-Specified as: a logical scalar. -Default: global=.true. -
-

-

-
On Return
-
-
-
Function value
-
is the dot product of vectors $x$ and $y$. -
-Scope: global unless the optional variable -global=.false. has been specified -
-Specified as: a number of the data type indicated in Table 2. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. The computation of a global result requires a global - communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple dot products at the same - time; in this case, it is possible to improve the runtime efficiency - by using the following scheme: -
    -\begin{lstlisting} -vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) -vres(... -...,y3,desc_a,info,global=.false.) -call psb_sum(ictxt,vres(1:3)) -\end{lstlisting} -
    -In this way the global communication, which for small sizes is a - latency-bound operation, is invoked only once. -
    2. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_gedots Generalized - Up: Computational routines - Previous: psb_geaxpby General -   Contents
- - - - diff --git a/docs/html/node58.html b/docs/html/node58.html deleted file mode 100644 index e70ce025..00000000 --- a/docs/html/node58.html +++ /dev/null @@ -1,264 +0,0 @@ - - - - - -psb_gedots -- Generalized Dot Product - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_normi Infinity-Norm - Up: Computational routines - Previous: psb_gedot Dot -   Contents -
-
- - -

-psb_gedots -- Generalized Dot Product -

- -

-This subroutine computes a series of dot products among the columns of -two dense matrices $x$ and $y$: -

-
- - -\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath} -
-
-

-If the matrices are complex, then the -usual convention applies, i.e. the conjugate transpose of $x$ is -used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it -is a rank one array. - -

-

-call psb_gedots(res, x, y, desc_a, info)
-
-

-
- - - -
Table 3: -Data types
-
- - - - - - - - - - - - - - - - -
$res$, $x$, $y$Subroutine
Short Precision Realpsb_gedots
Long Precision Realpsb_gedots
Short Precision Complexpsb_gedots
Long Precision Complexpsb_gedots
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 3. The rank of $x$ must be the same of $y$. -
-
y
-
the local portion of global dense matrix -$y$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 3. The rank of $y$ must be the same of $x$. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
On Return
-
-
-
res
-
is the dot product of vectors $x$ and $y$. -
-Scope: global -
-Intent: out. -
-Specified as: a number or a rank-one array of the data type indicated -in Table 2. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_normi Infinity-Norm - Up: Computational routines - Previous: psb_gedot Dot -   Contents
- - - - diff --git a/docs/html/node59.html b/docs/html/node59.html deleted file mode 100644 index 52131857..00000000 --- a/docs/html/node59.html +++ /dev/null @@ -1,283 +0,0 @@ - - - - - -psb_normi -- Infinity-Norm of Vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_geamaxs Generalized - Up: Computational routines - Previous: psb_gedots Generalized -   Contents -
-
- - -

-psb_normi -- Infinity-Norm of Vector -

- -

-This function computes - the infinity-norm of a vector $x$. -
-If $x$ is a real vector -it computes infinity norm as: -

-
- - -\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath} -
-
-

-else if $x$ is a complex vector then it computes the infinity-norm as: -

-
- - -\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath} -
-
-

- -

-

-psb_geamax(x, desc_a, info [,global])
-psb_normi(x, desc_a, info [,global])
-
- -

-

-
- - - -
Table 4: -Data types
-
- - - - - - - - - - - - - - - - - - - - - -
$amax$$x$Function
Short Precision RealShort Precision Realpsb_geamax
Long Precision RealLong Precision Realpsb_geamax
Short Precision RealShort Precision Complexpsb_geamax
Long Precision RealLong Precision Complexpsb_geamax
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. - -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 4. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
global
-
Specifies whether the computation should include the - global reduction across all processes. -
-Scope: global -
-Type: optional. -
-Intent: in. -
-Specified as: a logical scalar. -Default: global=.true. -
- -

-

-
On Return
-
-
-
Function value
-
is the infinity norm of vector $x$. -
-Scope: global unless the optional variable -global=.false. has been specified -
-Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. The computation of a global result requires a global - communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple norms at the same - time; in this case, it is possible to improve the runtime efficiency - by using the following scheme: -
    -\begin{lstlisting} -vres(1) = psb_geamax(x1,desc_a,info,global=.false.) -vres(2)... -...(x3,desc_a,info,global=.false.) -call psb_amx(ictxt,vres(1:3)) -\end{lstlisting} -
    -In this way the global communication, which for small sizes is a - latency-bound operation, is invoked only once. -
    2. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_geamaxs Generalized - Up: Computational routines - Previous: psb_gedots Generalized -   Contents
- - - - diff --git a/docs/html/node6.html b/docs/html/node6.html deleted file mode 100644 index 7f378769..00000000 --- a/docs/html/node6.html +++ /dev/null @@ -1,281 +0,0 @@ - - - - - -Application structure - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: User-defined index mappings - Up: General overview - Previous: Library contents -   Contents -
-
- - -

- -
-Application structure -

- -

-The main underlying principle of the PSBLAS library is that the -library objects are created and exist with reference to a discretized -space to which there corresponds an index space and a matrix sparsity -pattern. As an example, consider a cell-centered finite-volume -discretization of the Navier-Stokes equations on a simulation domain; -the index space $1\dots n$ is isomorphic to the set of cell centers, -whereas the pattern of the associated linear system matrix is -isomorphic to the adjacency graph imposed on the discretization mesh -by the discretization stencil. - -

-Thus the first order of business is to establish an index space, and -this is done with a call to psb_cdall in which we specify the -size of the index space $n$ and the allocation of the elements of the -index space to the various processes making up the MPI (virtual) -parallel machine. - -

-The index space is partitioned among processes, and this creates a -mapping from the “global” numbering $1\dots n$ to a numbering -“local” to each process; each process $i$ will own a certain subset - -$1\dots n_{\hbox{row}_i}$, each element of which corresponds to a certain -element of $1\dots n$. The user does not set explicitly this mapping; -when the application needs to indicate to which element of the index -space a certain item is related, such as the row and column index of a -matrix coefficient, it does so in the “global” numbering, and the -library will translate into the appropriate “local” numbering. - -

-For a given index space $1\dots n$ there are many possible associated -topologies, i.e. many different discretization stencils; thus the -description of the index space is not completed until the user has -defined a sparsity pattern, either explicitly through psb_cdins -or implicitly through psb_spins. The descriptor is finalized -with a call to psb_cdasb and a sparse matrix with a call to -psb_spasb. After psb_cdasb each process $i$ will have -defined a set of “halo” (or “ghost”) indices - -$n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$, denoting elements of the index -space that are not assigned to process $i$; however the -variables associated with them are needed to complete computations -associated with the sparse matrix $A$, and thus they have to be -fetched from (neighbouring) processes. The descriptor of the index -space is built exactly for the purpose of properly sequencing the -communication steps required to achieve this objective. - -

-A simple application structure will walk through the index space -allocation, matrix/vector creation and linear system solution as -follows: - -

    -
  1. Initialize parallel environment with psb_init -
    2. -
  2. Initialize index space with psb_cdall -
    3. -
  3. Allocate sparse matrix and dense vectors with psb_spall - and psb_geall -
    4. -
  4. Loop over all local rows, generate matrix and vector entries, - and insert them with psb_spins and psb_geins -
    5. -
  5. Assemble the various entities: - -
      -
    1. psb_cdasb -
      2. -
    2. psb_spasb -
      3. -
    3. psb_geasb -
      4. -
    -
    6. -
  6. Choose the preconditioner to be used with prec%init and - build it with prec%build3. -
    7. -
  7. Call the iterative method of choice, e.g. psb_bicgstab -
    8. -
-This is the structure of the sample programs in the directory -test/pargen/. - -

-For a simulation in which the same discretization mesh is used over -multiple time steps, the following structure may be more appropriate: - -

    -
  1. Initialize parallel environment with psb_init -
    2. -
  2. Initialize index space with psb_cdall -
    3. -
  3. Loop over the topology of the discretization mesh and build the - descriptor with psb_cdins -
    4. -
  4. Assemble the descriptor with psb_cdasb -
    5. -
  5. Allocate the sparse matrices and dense vectors with - psb_spall and psb_geall -
    6. -
  6. Loop over the time steps: - -
      -
    1. If after first time step, - reinitialize the sparse matrix with psb_sprn; also zero out - the dense vectors; -
      2. -
    2. Loop over the mesh, generate the coefficients and insert/update - them with psb_spins and psb_geins -
      3. -
    3. Assemble with psb_spasb and psb_geasb -
      4. -
    4. Choose and build preconditioner with prec%init and - prec%build -
      5. -
    5. Call the iterative method of choice, e.g. psb_bicgstab - -
      6. -
    -
    7. -
-The insertion routines will be called as many times as needed; -they only need to be called on the data that is actually -allocated to the current process, i.e. each process generates its own -data. - -

-In principle there is no specific order in the calls to -psb_spins, nor is there a requirement to build a matrix row in -its entirety before calling the routine; this allows the application -programmer to walk through the discretization mesh element by element, -generating the main part of a given matrix row but also contributions -to the rows corresponding to neighbouring elements. - -

-From a functional point of view it is even possible to execute one -call for each nonzero coefficient; however this would have a -substantial computational overhead. It is therefore advisable to pack -a certain amount of data into each call to the insertion routine, say -touching on a few tens of rows; the best performng value would depend -on both the architecture of the computer being used and on the problem -structure. -At the opposite extreme, it would be possible to generate the entire -part of a coefficient matrix residing on a process and pass it in a -single call to psb_spins; this, however, would entail a -doubling of memory occupation, and thus would be almost always far -from optimal. - -

-

- -Subsections - - - - -
- - -next - -up - -previous - -contents -
- Next: User-defined index mappings - Up: General overview - Previous: Library contents -   Contents
- - - - diff --git a/docs/html/node60.html b/docs/html/node60.html deleted file mode 100644 index 58ea5ca8..00000000 --- a/docs/html/node60.html +++ /dev/null @@ -1,216 +0,0 @@ - - - - - -psb_geamaxs -- Generalized Infinity Norm - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_normi Infinity-Norm -   Contents -
-
- - -

-psb_geamaxs -- Generalized Infinity Norm -

- -

-This subroutine computes a series of infinity norms on the columns of -a dense matrix $x$: -

-
- - -\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath} -
-
-

- -

-

-call psb_geamaxs(res, x, desc_a, info)
-
- -

-

-
- - - -
Table 5: -Data types
-
- - - - - - - - - - - - - - - - - - - - - -
$res$$x$Subroutine
Short Precision RealShort Precision Realpsb_geamaxs
Long Precision RealLong Precision Realpsb_geamaxs
Short Precision RealShort Precision Complexpsb_geamaxs
Long Precision RealLong Precision Complexpsb_geamaxs
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 5. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
On Return
-
-
-
res
-
is the infinity norm of the columns of $x$. -
-Scope: global -
-Intent: out. -
-Specified as: a number or a rank-one array of long precision real numbers. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_normi Infinity-Norm -   Contents
- - - - diff --git a/docs/html/node61.html b/docs/html/node61.html deleted file mode 100644 index 8826fa66..00000000 --- a/docs/html/node61.html +++ /dev/null @@ -1,281 +0,0 @@ - - - - - -psb_norm1 -- 1-Norm of Vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_geasums Generalized - Up: Computational routines - Previous: psb_geamaxs Generalized -   Contents -
-
- - -

-psb_norm1 -- 1-Norm of Vector -

- -

-This function computes the 1-norm of a vector $x$. -
-If $x$ is a real vector -it computes 1-norm as: -

-
- - -\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath} -
-
-

-else if $x$ is a complex vector then it computes 1-norm as: -

-
- - -\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} -
-
-

- -

-

-psb_geasum(x, desc_a, info [,global])
-psb_norm1(x, desc_a, info [,global])
-
- -

-

-
- - - -
Table 6: -Data types
-
- - - - - - - - - - - - - - - - - - - - - -
$asum$$x$Function
Short Precision RealShort Precision Realpsb_geasum
Long Precision RealLong Precision Realpsb_geasum
Short Precision RealShort Precision Complexpsb_geasum
Long Precision RealLong Precision Complexpsb_geasum
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. - -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 6. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
global
-
Specifies whether the computation should include the - global reduction across all processes. -
-Scope: global -
-Type: optional. -
-Intent: in. -
-Specified as: a logical scalar. -Default: global=.true. -
-

-

-
On Return
-
-
-
Function value
-
is the 1-norm of vector $x$. -
-Scope: global unless the optional variable -global=.false. has been specified -
-Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. The computation of a global result requires a global - communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple norms at the same - time; in this case, it is possible to improve the runtime efficiency - by using the following scheme: -
    -\begin{lstlisting} -vres(1) = psb_geasum(x1,desc_a,info,global=.false.) -vres(2)... -...(x3,desc_a,info,global=.false.) -call psb_sum(ictxt,vres(1:3)) -\end{lstlisting} -
    -In this way the global communication, which for small sizes is a - latency-bound operation, is invoked only once. -
    2. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_geasums Generalized - Up: Computational routines - Previous: psb_geamaxs Generalized -   Contents
- - - - diff --git a/docs/html/node62.html b/docs/html/node62.html deleted file mode 100644 index de5b337d..00000000 --- a/docs/html/node62.html +++ /dev/null @@ -1,264 +0,0 @@ - - - - - -psb_geasums -- Generalized 1-Norm of Vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_norm2 2-Norm - Up: Computational routines - Previous: psb_norm1 1-Norm -   Contents -
-
- - -

-psb_geasums -- Generalized 1-Norm of Vector -

- -

-This subroutine computes a series of 1-norms on the columns of -a dense matrix $x$: -

-
- - -\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath} -
-
-

-This function computes the 1-norm of a vector $x$. -
-If $x$ is a real vector -it computes 1-norm as: -

-
- - -\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath} -
-
-

-else if $x$ is a complex vector then it computes 1-norm as: -

-
- - -\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} -
-
-

- -

-

-call psb_geasums(res, x, desc_a, info)
-
- -

-

-
- - - -
Table 7: -Data types
-
- - - - - - - - - - - - - - - - - - - - - -
$res$$x$Subroutine
Short Precision RealShort Precision Realpsb_geasums
Long Precision RealLong Precision Realpsb_geasums
Short Precision RealShort Precision Complexpsb_geasums
Long Precision RealLong Precision Complexpsb_geasums
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. - -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 7. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. - -

-

-
On Return
-
-
-
res
-
contains the 1-norm of (the columns of) $x$. -
-Scope: global -
-Intent: out. -
-Short as: a long precision real number. -Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_norm2 2-Norm - Up: Computational routines - Previous: psb_norm1 1-Norm -   Contents
- - - - diff --git a/docs/html/node63.html b/docs/html/node63.html deleted file mode 100644 index da6e561c..00000000 --- a/docs/html/node63.html +++ /dev/null @@ -1,283 +0,0 @@ - - - - - -psb_norm2 -- 2-Norm of Vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_genrm2s Generalized - Up: Computational routines - Previous: psb_geasums Generalized -   Contents -
-
- - -

-psb_norm2 -- 2-Norm of Vector -

- -

-This function computes the 2-norm of a vector $x$. -
-If $x$ is a real vector -it computes 2-norm as: -

-
- - -\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath} -
-
-

-else if $x$ is a complex vector then it computes 2-norm as: -

-
- - -\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath} -
-
-

- -

-

-
- - - -
Table 8: -Data types
-
- - - - - - - - - - - - - - - - - - - - - -
$nrm2$$x$Function
Short Precision RealShort Precision Realpsb_genrm2
Long Precision RealLong Precision Realpsb_genrm2
Short Precision RealShort Precision Complexpsb_genrm2
Long Precision RealLong Precision Complexpsb_genrm2
-
-
-

-
- -

-

-psb_genrm2(x, desc_a, info [,global])
-psb_norm2(x, desc_a, info [,global])
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 8. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
global
-
Specifies whether the computation should include the - global reduction across all processes. -
-Scope: global -
-Type: optional. -
-Intent: in. -
-Specified as: a logical scalar. -Default: global=.true. -
- -

-

-
On Return
-
-
-
Function Value
-
is the 2-norm of vector $x$. -
-Scope: global unless the optional variable -global=.false. has been specified -
-Type: required -
-Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. The computation of a global result requires a global - communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple norms at the same - time; in this case, it is possible to improve the runtime efficiency - by using the following scheme: -
    -\begin{lstlisting} -vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) -vres(2)... -...x3,desc_a,info,global=.false.) -call psb_nrm2(ictxt,vres(1:3)) -\end{lstlisting} -
    -In this way the global communication, which for small sizes is a - latency-bound operation, is invoked only once. -
    2. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_genrm2s Generalized - Up: Computational routines - Previous: psb_geasums Generalized -   Contents
- - - - diff --git a/docs/html/node64.html b/docs/html/node64.html deleted file mode 100644 index 6e453cb4..00000000 --- a/docs/html/node64.html +++ /dev/null @@ -1,219 +0,0 @@ - - - - - -psb_genrm2s -- Generalized 2-Norm of Vector - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_norm2 2-Norm -   Contents -
-
- - -

-psb_genrm2s -- Generalized 2-Norm of Vector -

- -

-This subroutine computes a series of 2-norms on the columns of -a dense matrix $x$: -

-
- - -\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath} -
-
-

- -

-

-call psb_genrm2s(res, x, desc_a, info)
-
- -

-

-
- - - -
Table 9: -Data types
-
- - - - - - - - - - - - - - - - - - - - - -
$res$$x$Subroutine
Short Precision RealShort Precision Realpsb_genrm2s
Long Precision RealLong Precision Realpsb_genrm2s
Short Precision RealShort Precision Complexpsb_genrm2s
Long Precision RealLong Precision Complexpsb_genrm2s
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
the local portion of global dense matrix -$x$. - -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 9. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. - -

-

-
On Return
-
-
-
res
-
contains the 1-norm of (the columns of) $x$. -
-Scope: global -
-Intent: out. -
-Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_norm2 2-Norm -   Contents
- - - - diff --git a/docs/html/node65.html b/docs/html/node65.html deleted file mode 100644 index aa3be29d..00000000 --- a/docs/html/node65.html +++ /dev/null @@ -1,194 +0,0 @@ - - - - - -psb_norm1 -- 1-Norm of Sparse Matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_normi Infinity - Up: Computational routines - Previous: psb_genrm2s Generalized -   Contents -
-
- - -

-psb_norm1 -- 1-Norm of Sparse Matrix -

- -

-This function computes the 1-norm of a matrix $A$: -
-

-

-
- - -\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath} -
-
-

-where: -
-
$A$
-
represents the global matrix $A$ -
-
- -

-

-
- - - -
Table 10: -Data types
-
- - - - - - - - - - - - - - - - -
$A$Function
Short Precision Realpsb_spnrm1
Long Precision Realpsb_spnrm1
Short Precision Complexpsb_spnrm1
Long Precision Complexpsb_spnrm1
-
-
-

-
- -

-

-psb_spnrm1(A, desc_a, info)
-psb_norm1(A, desc_a, info)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
a
-
the local portion of the global sparse matrix -$A$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type spdatapsb_Tspmat_type. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
On Return
-
-
-
Function value
-
is the 1-norm of sparse submatrix $A$. -
-Scope: global -
-Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node66.html b/docs/html/node66.html deleted file mode 100644 index e4f3a5ac..00000000 --- a/docs/html/node66.html +++ /dev/null @@ -1,194 +0,0 @@ - - - - - -psb_normi -- Infinity Norm of Sparse Matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_spmm Sparse - Up: Computational routines - Previous: psb_norm1 1-Norm -   Contents -
-
- - -

-psb_normi -- Infinity Norm of Sparse Matrix -

- -

-This function computes the infinity-norm of a matrix $A$: -
-

-

-
- - -\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath} -
-
-

-where: -
-
$A$
-
represents the global matrix $A$ -
-
- -

-

-
- - - -
Table 11: -Data types
-
- - - - - - - - - - - - - - - - -
$A$Function
Short Precision Realpsb_spnrmi
Long Precision Realpsb_spnrmi
Short Precision Complexpsb_spnrmi
Long Precision Complexpsb_spnrmi
-
-
-

-
- -

-

-psb_spnrmi(A, desc_a, info)
-psb_normi(A, desc_a, info)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
a
-
the local portion of the global sparse matrix -$A$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type spdatapsb_Tspmat_type. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
On Return
-
-
-
Function value
-
is the infinity-norm of sparse submatrix $A$. -
-Scope: global -
-Specified as: a long precision real number. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node67.html b/docs/html/node67.html deleted file mode 100644 index 91be606e..00000000 --- a/docs/html/node67.html +++ /dev/null @@ -1,427 +0,0 @@ - - - - - -psb_spmm -- Sparse Matrix by Dense Matrix Product - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_spsm Triangular - Up: Computational routines - Previous: psb_normi Infinity -   Contents -
-
- - -

-psb_spmm -- Sparse Matrix by Dense Matrix - Product -

- -

-This subroutine computes the Sparse Matrix by Dense Matrix Product: - -

-
-

- - - - - - -
\begin{displaymath} -y \leftarrow \alpha A x + \beta y -\end{displaymath} -(1)
-

-
-
- - - - - - -
\begin{displaymath} -y \leftarrow \alpha A^T x + \beta y -\end{displaymath} -(2)
-

-
-
- - - - - - -
\begin{displaymath} -y \leftarrow \alpha A^H x + \beta y -\end{displaymath} -(3)
-

- -

-where: -

-
$x$
-
is the global dense matrix $x_{:, :}$ -
-
$y$
-
is the global dense matrix $y_{:, :}$ -
-
$A$
-
is the global sparse matrix $A$ -
-
- -

-

-
- - - -
Table 12: -Data types
-
- - - - - - - - - - - - - - - - -
$A$, $x$, $y$, $\alpha$, $\beta$Subroutine
Short Precision Realpsb_spmm
Long Precision Realpsb_spmm
Short Precision Complexpsb_spmm
Long Precision Complexpsb_spmm
-
-
-

-
- -

-

-call psb_spmm(alpha, a, x, beta, y, desc_a, info)
-call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
-             & trans, work)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
alpha
-
the scalar $\alpha$. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a number of the data type indicated in -Table 12. -
-
a
-
the local portion of the sparse matrix -$A$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type spdatapsb_Tspmat_type. -
-
x
-
the local portion of global dense matrix -$x$. - -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 12. The rank of $x$ must be the same of $y$. -
-
beta
-
the scalar $\beta$. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a number of the data type indicated in Table 12. -
-
y
-
the local portion of global dense matrix -$y$. - -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 12. The rank of $y$ must be the same of $x$. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
trans
-
indicates what kind of operation to perform. -
-
trans = N
-
the operation is specified by equation 1 -
-
trans = T
-
the operation is specified by equation -2 -
-
trans = C
-
the operation is specified by equation -3 -
-
-Scope: global -
-Type: optional -
-Intent: in. -
-Default: $trans = N$ -
-Specified as: a character variable. - -

-

-
work
-
work array. -
-Scope: local -
-Type: optional -
-Intent: inout. -
-Specified as: a rank one array of the same type of $x$ and $y$ with -the TARGET attribute. - -

-

-
On Return
-
-
-
y
-
the local portion of result matrix $y$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: an array of rank one or two -containing numbers of type specified in -Table 12. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_spsm Triangular - Up: Computational routines - Previous: psb_normi Infinity -   Contents
- - - - diff --git a/docs/html/node68.html b/docs/html/node68.html deleted file mode 100644 index 83cac738..00000000 --- a/docs/html/node68.html +++ /dev/null @@ -1,469 +0,0 @@ - - - - - -psb_spsm -- Triangular System Solve - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Communication routines - Up: Computational routines - Previous: psb_spmm Sparse -   Contents -
-
- - -

-psb_spsm -- Triangular System Solve -

- -

-This subroutine computes the Triangular System Solve: - -

-

-
- -\begin{eqnarray*} -y &\leftarrow& \alpha T^{-1} x + \beta y\\ -y &\leftarrow& \al... -...-H} x + \beta y\\ -y &\leftarrow& \alpha T^{-H} D x + \beta y\\ -\end{eqnarray*}
-

-

- -

-where: -

-
$x$
-
is the global dense matrix $x_{:, :}$ -
-
$y$
-
is the global dense matrix $y_{:, :}$ -
-
$T$
-
is the global sparse block triangular submatrix $T$ -
-
$D$
-
is the scaling diagonal matrix. -
-
- -

-

-call psb_spsm(alpha, t, x, beta, y, desc_a, info)
-call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
-             & trans, unit, choice, diag, work)
-
- -

-

-
- - - -
Table 13: -Data types
-
- - - - - - - - - - - - - - - - -
$T$, $x$, $y$, $D$, $\alpha$, $\beta$Subroutine
Short Precision Realpsb_spsm
Long Precision Realpsb_spsm
Short Precision Complexpsb_spsm
Long Precision Complexpsb_spsm
-
-
-

-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
alpha
-
the scalar $\alpha$. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a number of the data type indicated in -Table 13. -
-
t
-
the global portion of the sparse matrix -$T$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object type specified in -§ 3. -
-
x
-
the local portion of global dense matrix -$x$. - -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 13. The rank of $x$ must be the same of $y$. -
-
beta
-
the scalar $\beta$. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a number of the data type indicated in Table 13. -
-
y
-
the local portion of global dense matrix -$y$. - -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 13. The rank of $y$ must be the same of $x$. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an object of type descdatapsb_desc_type. -
-
trans
-
specify with unitd the operation to perform. -
-
trans = 'N'
-
the operation is with no transposed matrix -
-
trans = 'T'
-
the operation is with transposed matrix. -
-
trans = 'C'
-
the operation is with conjugate transposed matrix. -
-
-Scope: global -
-Type: optional -
-Intent: in. -
-Default: $trans = N$ -
-Specified as: a character variable. -
-
unitd
-
specify with trans the operation to perform. -
-
unitd = 'U'
-
the operation is with no scaling -
-
unitd = 'L'
-
the operation is with left scaling -
-
unitd = 'R'
-
the operation is with right scaling. -
-
-Scope: global -
-Type: optional -
-Intent: in. -
-Default: $unitd = U$ -
-Specified as: a character variable. -
-
choice
-
specifies the update of overlap elements to be performed - on exit: -
-
-
psb_none_ -
-
-
psb_sum_ -
-
-
psb_avg_ -
-
-
psb_square_root_ -
-
-Scope: global -
-Type: optional -
-Intent: in. -
-Default: psb_avg_ -
-Specified as: an integer variable. -
-
diag
-
the diagonal scaling matrix. -
-Scope: local -
-Type: optional -
-Intent: in. -
-Default: -$diag(1) = 1 (no scaling)$ -
-Specified as: a rank one array containing numbers of the type -indicated in Table 13. -
-
work
-
a work array. -
-Scope: local -
-Type: optional -
-Intent: inout. -
-Specified as: a rank one array of the same type of $x$ with the -TARGET attribute. - -

-

-
On Return
-
-
-
y
-
the local portion of global dense matrix -$y$. - -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: an array of rank one or two -containing numbers of type specified in -Table 13. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: Communication routines - Up: Computational routines - Previous: psb_spmm Sparse -   Contents
- - - - diff --git a/docs/html/node69.html b/docs/html/node69.html deleted file mode 100644 index 8bb3f83f..00000000 --- a/docs/html/node69.html +++ /dev/null @@ -1,77 +0,0 @@ - - - - - -Communication routines - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_halo Halo - Up: userhtml - Previous: psb_spsm Triangular -   Contents -
-
- - -

-Communication routines -

-The routines in this chapter implement various global communication operators -on vectors associated with a discretization mesh. For auxiliary communication -routines not tied to a discretization space see 6. - -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node7.html b/docs/html/node7.html deleted file mode 100644 index ce4703e6..00000000 --- a/docs/html/node7.html +++ /dev/null @@ -1,108 +0,0 @@ - - - - - -User-defined index mappings - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Programming model - Up: Application structure - Previous: Application structure -   Contents -
-
- - -

- -
-User-defined index mappings -

-PSBLAS supports user-defined global to local index mappings, subject -to the constraints outlined in sec. 2.3: - -
    -
  1. The set of indices owned locally must be mapped to the set - -$1\dots n_{\hbox{row}_i}$; -
    2. -
  2. The set of halo points must be mapped to the set - -$n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$; -
    3. -
-but otherwise the mapping is arbitrary. The user application is -responsible to ensure consistency of this mapping; some errors may be -caught by the library, but this is not guaranteed. -The application structure to -support this usage is as follows: - -
    -
  1. Initialize index space with - psb_cdall(ictx,desc,info,vl=vl,lidx=lidx) passing the vectors - vl(:) containing the set of global indices owned by the - current process and lidx(:) containing the corresponding - local indices; -
    2. -
  2. Add the halo points ja(:) and their associated local - indices lidx(:) with a(some) call(s) to - psb_cdins(nz,ja,desc,info,lidx=lidx); -
    3. -
  3. Assemble the descriptor with psb_cdasb; -
    4. -
  4. Build the sparse matrices and vectors, optionally making use in - psb_spins and psb_geins of the local argument - specifying that the indices in ia, ja and irw, - respectively, are already local indices. -
    5. -
- -

-

- - - diff --git a/docs/html/node70.html b/docs/html/node70.html deleted file mode 100644 index 410a7457..00000000 --- a/docs/html/node70.html +++ /dev/null @@ -1,633 +0,0 @@ - - - - - -psb_halo -- Halo Data Communication - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines -   Contents -
-
- - -

-psb_halo -- Halo Data Communication -

- -

-These subroutines gathers the values of the halo -elements: - -

-

-
- - -\begin{displaymath}x \leftarrow x \end{displaymath} -
-
-

-where: -
-
$x$
-
is a global dense submatrix. -
-
- -

-

-
- - - -
Table 14: -Data types
-
- - - - - - - - - - - - - - - - - - - -
$\alpha$, $x$Subroutine
Integerpsb_halo
Short Precision Realpsb_halo
Long Precision Realpsb_halo
Short Precision Complexpsb_halo
Long Precision Complexpsb_halo
-
-
-

-
- -

-
-\begin{lstlisting} -call psb_halo(x, desc_a, info) -call psb_halo(x, desc_a, info, work, data) -\end{lstlisting} -
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
global dense matrix $x$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 14. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
work
-
the work array. -
-Scope: local -
-Type: optional -
-Intent: inout. -
-Specified as: a rank one array of the same type of $x$. -
-
data
-
index list selector. -
-Scope: global -
-Type: optional -
-Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_, -psb_comm_ext_, default: psb_comm_halo_. Chooses the -index list on which to base the data exchange. - -

-

-
On Return
-
-
-
x
-
global dense result matrix $x$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Returned as: a rank one or two array -containing numbers of type specified in -Table 14. -
-
info
-
the local portion of result submatrix $y$. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value that contains an error code. -
-
- -
- - - -
Figure 7: -Sample discretization mesh.
-
-\includegraphics[scale=0.45]{figures/try8x8.eps} - -\includegraphics[scale=0.45]{figures/try8x8} - -
-
- -

-Usage Example -Consider the discretization mesh depicted in fig. 7, -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 $x$ vector, and process 1 assigns a value of 2, then after a -call to psb_halo the contents of the local vectors will be the -following: -
-

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-Process 0  -Process 1
- I GLOB(I) X(I)   I GLOB(I) X(I)
- 1 1 1.0   1 33 2.0
- 2 2 1.0   2 34 2.0
- 3 3 1.0   3 35 2.0
- 4 4 1.0   4 36 2.0
- 5 5 1.0   5 37 2.0
- 6 6 1.0   6 38 2.0
- 7 7 1.0   7 39 2.0
- 8 8 1.0   8 40 2.0
- 9 9 1.0   9 41 2.0
- 10 10 1.0   10 42 2.0
- 11 11 1.0   11 43 2.0
- 12 12 1.0   12 44 2.0
- 13 13 1.0   13 45 2.0
- 14 14 1.0   14 46 2.0
- 15 15 1.0   15 47 2.0
- 16 16 1.0   16 48 2.0
- 17 17 1.0   17 49 2.0
- 18 18 1.0   18 50 2.0
- 19 19 1.0   19 51 2.0
- 20 20 1.0   20 52 2.0
-21 21 1.0   21 53 2.0
-22 22 1.0   22 54 2.0
-23 23 1.0   23 55 2.0
-24 24 1.0   24 56 2.0
-25 25 1.0   25 57 2.0
-26 26 1.0   26 58 2.0
-27 27 1.0   27 59 2.0
-28 28 1.0   28 60 2.0
-29 29 1.0   29 61 2.0
-30 30 1.0   30 62 2.0
-31 31 1.0   31 63 2.0
-32 32 1.0   32 64 2.0
-33 33 2.0   33 25 1.0
-34 34 2.0   34 26 1.0
-35 35 2.0   35 27 1.0
-36 36 2.0   36 28 1.0
-37 37 2.0   37 29 1.0
-38 38 2.0   38 30 1.0
-39 39 2.0   39 31 1.0
-40 40 2.0   40 32 1.0
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines -   Contents
- - - - diff --git a/docs/html/node71.html b/docs/html/node71.html deleted file mode 100644 index 841d9ef3..00000000 --- a/docs/html/node71.html +++ /dev/null @@ -1,761 +0,0 @@ - - - - - -psb_ovrl -- Overlap Update - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo -   Contents -
-
- - -

-psb_ovrl -- Overlap Update -

- -

-These subroutines applies an overlap operator to the input vector: - -

-

-
- - -\begin{displaymath}x \leftarrow Q x \end{displaymath} -
-
-

-where: -
-
$x$
-
is the global dense submatrix $x$ -
-
$Q$
-
is the overlap operator; it is the composition of two -operators $P_a$ and $P^{T}$. -
-
- -

-

-
- - - -
Table 15: -Data types
-
- - - - - - - - - - - - - - - - -
$x$Subroutine
Short Precision Realpsb_ovrl
Long Precision Realpsb_ovrl
Short Precision Complexpsb_ovrl
Long Precision Complexpsb_ovrl
-
-
-

-
- -

-
-\begin{lstlisting} -call psb_ovrl(x, desc_a, info) -call psb_ovrl(x, desc_a, info, update=update_type, work=work) -\end{lstlisting} -
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
global dense matrix $x$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 15. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
update
-
Update operator. -
-
update = psb_none_
-
Do nothing; -
-
update = psb_add_
-
Sum overlap entries, i.e. apply $P^T$; -
-
update = psb_avg_
-
Average overlap entries, i.e. apply $P_aP^T$; -
-
-Scope: global -
-Intent: in. -
-Default: -$update\_type = psb\_avg\_ $ -
-Scope: global -
-Specified as: a integer variable. -
-
work
-
the work array. -
-Scope: local -
-Type: optional -
-Intent: inout. -
-Specified as: a one dimensional array of the same type of $x$. - -

-

-
On Return
-
-
-
x
-
global dense result matrix $x$. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: an array of rank one or two -containing numbers of type specified in -Table 15. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. If there is no overlap in the data distribution associated with - the descriptor, no operations are performed; -
    2. -
  2. The operator $P^{T}$ performs the reduction sum of overlap -elements; it is a “prolongation” operator $P^T$ that -replicates overlap elements, accounting for the physical replication -of data; -
    3. -
  3. The operator $P_a$ performs a scaling on the overlap elements by -the amount of replication; thus, when combined with the reduction -operator, it implements the average of replicated elements over all of -their instances. -
    4. -
- -

- -

- - - -
Figure 8: -Sample discretization mesh.
-
-\includegraphics[scale=0.65]{figures/try8x8_ov.eps} - -\includegraphics[scale=0.65]{figures/try8x8_ov} - -
-
- -Example of use -Consider the discretization mesh depicted in fig. 8, -partitioned among two processes as shown by the dashed lines, with an -overlap of 1 extra layer with respect to the partition of -fig. 7; the data -distribution is such that each process will own 40 entries in the -index space, with an overlap of 16 entries placed at local indices 25 -through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries -in the $x$ vector, and process 1 assigns a value of 2, then after a -call to psb_ovrl with psb_avg_ and a call to -psb_halo_ the contents of the local vectors will be the -following (showing a transition among the two subdomains) - -

-
-

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-Process 0  -Process 1
- I GLOB(I) X(I)   I GLOB(I) X(I)
- 1 1 1.0   1 33 1.5
- 2 2 1.0   2 34 1.5
- 3 3 1.0   3 35 1.5
- 4 4 1.0   4 36 1.5
- 5 5 1.0   5 37 1.5
- 6 6 1.0   6 38 1.5
- 7 7 1.0   7 39 1.5
- 8 8 1.0   8 40 1.5
- 9 9 1.0   9 41 2.0
- 10 10 1.0   10 42 2.0
- 11 11 1.0   11 43 2.0
- 12 12 1.0   12 44 2.0
- 13 13 1.0   13 45 2.0
- 14 14 1.0   14 46 2.0
- 15 15 1.0   15 47 2.0
- 16 16 1.0   16 48 2.0
- 17 17 1.0   17 49 2.0
- 18 18 1.0   18 50 2.0
- 19 19 1.0   19 51 2.0
- 20 20 1.0   20 52 2.0
- 21 21 1.0   21 53 2.0
- 22 22 1.0   22 54 2.0
- 23 23 1.0   23 55 2.0
- 24 24 1.0   24 56 2.0
- 25 25 1.5   25 57 2.0
- 26 26 1.5   26 58 2.0
- 27 27 1.5   27 59 2.0
- 28 28 1.5   28 60 2.0
- 29 29 1.5   29 61 2.0
- 30 30 1.5   30 62 2.0
- 31 31 1.5   31 63 2.0
- 32 32 1.5   32 64 2.0
- 33 33 1.5   33 25 1.5
- 34 34 1.5   34 26 1.5
- 35 35 1.5   35 27 1.5
- 36 36 1.5   36 28 1.5
- 37 37 1.5   37 29 1.5
- 38 38 1.5   38 30 1.5
- 39 39 1.5   39 31 1.5
- 40 40 1.5   40 32 1.5
- 41 41 2.0   41 17 1.0
- 42 42 2.0   42 18 1.0
- 43 43 2.0   43 19 1.0
- 44 44 2.0   44 20 1.0
- 45 45 2.0   45 21 1.0
- 46 46 2.0   46 22 1.0
- 47 47 2.0   47 23 1.0
- 48 48 2.0   48 24 1.0
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo -   Contents
- - - - diff --git a/docs/html/node72.html b/docs/html/node72.html deleted file mode 100644 index 15648616..00000000 --- a/docs/html/node72.html +++ /dev/null @@ -1,270 +0,0 @@ - - - - - -psb_gather -- Gather Global Dense Matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap -   Contents -
-
- - -

-psb_gather -- Gather Global Dense Matrix -

- -

-These subroutines collect the portions of global dense matrix -distributed over all process into one single array stored on one -process. - -

-

-
- - -\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath} -
-
-

-where: -
-
$glob\_x$
-
is the global submatrix -$glob\_x_{1:m,1:n}$ -
-
$loc\_x_i$
-
is the local portion of global dense matrix on -process $i$. -
-
$collect$
-
is the collect function. -
-
- -

-

-
- - - -
Table 16: -Data types
-
- - - - - - - - - - - - - - - - - - - -
$x_i, y$Subroutine
Integerpsb_gather
Short Precision Realpsb_gather
Long Precision Realpsb_gather
Short Precision Complexpsb_gather
Long Precision Complexpsb_gather
-
-
-

-
- -

-
-\begin{lstlisting} -call psb_gather(glob_x, loc_x, desc_a, info, root) -call psb_gather(glob_x, loc_x, desc_a, info, root) -\end{lstlisting} -
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
loc_x
-
the local portion of global dense matrix -$glob\_x$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -indicated in Table 16. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
root
-
The process that holds the global copy. If $root=-1$ all - the processes will have a copy of the global vector. -
-Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: an integer variable -$-1\le root\le np-1$, default $-1$. -
-
On Return
-
-
-
glob_x
-
The array where the local parts must be gathered. -
-Scope: global -
-Type: required -
-Intent: out. -
-Specified as: a rank one or two array with the ALLOCATABLE attribute. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap -   Contents
- - - - diff --git a/docs/html/node73.html b/docs/html/node73.html deleted file mode 100644 index a0bd345f..00000000 --- a/docs/html/node73.html +++ /dev/null @@ -1,277 +0,0 @@ - - - - - -psb_scatter -- Scatter Global Dense Matrix - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather -   Contents -
-
- - -

-psb_scatter -- Scatter Global Dense Matrix -

- -

-These subroutines scatters the portions of global dense matrix owned -by a process to all the processes in the processes grid. - -

-

-
- - -\begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath} -
-
-

-where: -
-
$glob\_x$
-
is the global matrix -$glob\_x_{1:m,1:n}$ -
-
$loc\_x_i$
-
is the local portion of global dense matrix on -process $i$. -
-
$scatter$
-
is the scatter function. -
-
- -

-

-
- - - -
Table 17: -Data types
-
- - - - - - - - - - - - - - - - - - - -
$x_i, y$Subroutine
Integerpsb_scatter
Short Precision Realpsb_scatter
Long Precision Realpsb_scatter
Short Precision Complexpsb_scatter
Long Precision Complexpsb_scatter
-
-
-

-
- -

-
-\begin{lstlisting} -call psb_scatter(glob_x, loc_x, desc_a, info, root, mold) -\end{lstlisting} -
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
glob_x
-
The array that must be scattered into local pieces. -
-Scope: global -
-Type: required -
-Intent: in. -
-Specified as: a rank one or two array. -
-
desc_a
-
contains data structures for communications. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
root
-
The process that holds the global copy. If $root=-1$ all - the processes have a copy of the global vector. -
-Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: an integer variable -$-1\le root\le np-1$, default -psb_root_, i.e. process 0. -
-
mold
-
The desired dynamic type for the internal vector storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is -only allowed when loc_x is of type vdatapsb_T_vect_type. -
-
On Return
-
-
-
loc_x
-
the local portion of global dense matrix -$glob\_x$. -
-Scope: local -
-Type: required -
-Intent: out. -
-Specified as: a rank one or two ALLOCATABLE array or an object of type vdatapsb_T_vect_type containing numbers of the type -indicated in Table 17. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather -   Contents
- - - - diff --git a/docs/html/node74.html b/docs/html/node74.html deleted file mode 100644 index 4d97a7eb..00000000 --- a/docs/html/node74.html +++ /dev/null @@ -1,133 +0,0 @@ - - - - - -Data management routines - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cdall Allocates - Up: userhtml - Previous: psb_scatter Scatter -   Contents -
-
- - -

- -
-Data management routines -

- -

-

- -Subsections - - - -
- - - diff --git a/docs/html/node75.html b/docs/html/node75.html deleted file mode 100644 index ac095940..00000000 --- a/docs/html/node75.html +++ /dev/null @@ -1,450 +0,0 @@ - - - - - -psb_cdall -- Allocates a communication descriptor - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines -   Contents -
-
- - -

-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,[mg=mg,flag=flag])
-call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx])
-call psb_cdall(icontxt, desc_a, info,nl=nl)
-call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
-
- -

-This subroutine initializes the communication descriptor associated -with an index space. One of the optional arguments -parts, vg, vl, nl or repl -must be specified, thereby choosing -the specific initialization strategy. -

-
On Entry
-
-
-
Type:
-
Synchronous. -
-
icontxt
-
the communication context. -
-Scope:global. -
-Type:required. -
-Intent: in. -
-Specified as: an integer value. -
-
vg
-
Data allocation: each index -$i\in \{1\dots mg\}$ is allocated - to process $vg(i)$. -
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer array. -
-
flag
-
Specifies whether entries in $vg$ are zero- or one-based. -
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer value $0,1$, default $0$. - -

-

-
mg
-
the (global) number of rows of the problem. -
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer value. It is required if parts or -repl is specified, it is optional if vg is specified. -
-
parts
-
the subroutine that defines the partitioning scheme. -
-Scope:global. -
-Type:required. -
-Specified as: a subroutine. -
-
vl
-
Data allocation: the set of global indices - $vl(1:nl)$ belonging to the calling process. -
-Scope:local. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer array. -
-
nl
-
Data allocation: in a generalized block-row distribution the - number of indices belonging to the current process. -
-Scope:local. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer value. May be specified together with -vl. -
-
repl
-
Data allocation: build a replicated index space - (i.e. all processes own all indices). -
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: the logical value .true. -
-
globalcheck
-
Data allocation: do global checks on the local - index lists vl -
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: a logical value, default: .false. -
-
lidx
-
Data allocation: the set of local indices - $lidx(1:nl)$ to be assigned to the global indices $vl$. -
-Scope:local. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer array. -
-
- -

-

-
On Return
-
-
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: out. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. One of the optional arguments parts, vg, - vl, nl or repl must be specified, thereby choosing the - initialization strategy as follows: -
    -
    parts
    -
    In this case we have a subroutine specifying the mapping - between global indices and process/local index pairs. If this - optional argument is specified, then it is mandatory to - specify the argument mg as well. - The subroutine must conform to the following interface: -
    -  interface 
-     subroutine psb_parts(glob_index,mg,np,pv,nv)
-       integer, intent (in)  :: glob_index,np,mg
-       integer, intent (out) :: nv, pv(*)
-     end subroutine psb_parts
-  end interface
-
    - The input arguments are: -
    -
    glob_index
    -
    The global index to be mapped; - -
    -
    np
    -
    The number of processes in the mapping; - -
    -
    mg
    -
    The total number of global rows in the mapping; - -
    -
    - The output arguments are: -
    -
    nv
    -
    The number of entries in pv; - -
    -
    pv
    -
    A vector containing the indices of the processes to - which the global index should be assigend; each entry must satisfy - -$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple - processes, i.e. we have an overlap among the subdomains. - -
    -
    -
    -
    vg
    -
    In this case the association between an index and a process - is specified via an integer vector vg(1:mg); - each index -$i\in \{1\dots mg\}$ is assigned to process $vg(i)$. - 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. - 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 - 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 vl specified - in the calling processes. The size may be specified via the optional - argument 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 significantly faster, but the user - is implicitly guaranteeing that there are neither orphan nor - overlap indices. -
    -
    lidx
    -
    The optional argument lidx is available for - those cases in which the user has already established a - global-to-local mapping; if it is specified, each index in - vl(i) will be mapped to the corresponding local index - lidx(i). When specifying the argument lidx the user - would also likely employ lidx in calls to psb_cdins - and local in calls to psb_spins and psb_geins; - see also sec. 2.3.1. -
    -
    nl
    -
    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. -
    -
    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. -
    -
    -
    2. -
  2. On exit from this routine the descriptor is in the build - state. -
    3. -
  3. Calling the routine with vg or parts implies that - every process will scan the entire index space to figure out the - local indices. -
    4. -
  4. Overlapped indices are possible with both parts and - vl invocations. -
    5. -
  5. When the subroutine is invoked with vl in - conjunction with globalcheck=.true., it will perform a scan - of the index space to search for overlap or orphan indices. -
    6. -
  6. When the subroutine is invoked with vl in - conjunction with globalcheck=.false., no index space scan - will take place. Thus it is the responsibility of the user to make - sure that the indices specified in vl have neither orphans nor - overlaps; if this assumption fails, results will be - unpredictable. -
    7. -
  7. Orphan and overlap indices are - impossible by construction when the subroutine is invoked with - nl (alone), or vg. -
    8. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines -   Contents
- - - - diff --git a/docs/html/node76.html b/docs/html/node76.html deleted file mode 100644 index 52f857fa..00000000 --- a/docs/html/node76.html +++ /dev/null @@ -1,259 +0,0 @@ - - - - - -psb_cdins -- Communication descriptor insert routine - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates -   Contents -
-
- - -

-psb_cdins -- Communication descriptor insert - routine -

- -

-

-call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla])
-call psb_cdins(nz,ja,desc,info[,jla,mask,lidx])
-
- -

-This subroutine examines the edges of the graph associated with the -discretization mesh (and isomorphic to the sparsity pattern of a -linear system coefficient matrix), storing them as necessary into the -communication descriptor. In the first form the edges are specified as -pairs of indices $ia(i),ja(i)$; the starting index $ia(i)$ should -belong to the current process. -In the second form only the remote indices $ja(i)$ are specified. - -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
nz
-
the number of points being inserted. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: an integer value. -
-
ia
-
the indices of the starting vertex of the edges being inserted. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: an integer array of length $nz$. -
-
ja
-
the indices of the end vertex of the edges being inserted. -
-Scope: local. -
-Type: required. -
-Intent: in. -
-Specified as: an integer array of length $nz$. -
-
mask
-
Mask entries in ja, they are inserted only when the - corresponding mask entries are .true. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: a logical array of length $nz$, default .true.. -
-
lidx
-
User defined local indices for ja. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer array of length $nz$. -
-
- -

-

-
On Return
-
-
-
desc_a
-
the updated communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
ila
-
the local indices of the starting vertex of the edges being inserted. -
-Scope: local. -
-Type: optional. -
-Intent: out. -
-Specified as: an integer array of length $nz$. -
-
jla
-
the local indices of the end vertex of the edges being inserted. -
-Scope: local. -
-Type: optional. -
-Intent: out. -
-Specified as: an integer array of length $nz$. - -

-

-
-Notes - -
    -
  1. This routine may only be called if the descriptor is in the - build state; -
    2. -
  2. This routine automatically ignores edges that do not -insist on the current process, i.e. edges for which neither the starting -nor the end vertex belong to the current process. -
    3. -
  3. The second form of this routine will be useful when dealing with - user-specified index mappings; see also 2.3.1. -
    4. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates -   Contents
- - - - diff --git a/docs/html/node77.html b/docs/html/node77.html deleted file mode 100644 index d47877a3..00000000 --- a/docs/html/node77.html +++ /dev/null @@ -1,166 +0,0 @@ - - - - - -psb_cdasb -- Communication descriptor assembly routine - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cdcpy Copies - Up: Data management routines - Previous: psb_cdins Communication -   Contents -
-
- - -

-psb_cdasb -- Communication descriptor assembly - routine -

- -

-

-call psb_cdasb(desc_a, info [, mold])
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
mold
-
The desired dynamic type for the internal index storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: a object of type derived from (integer) vbasedatapsb_T_base_vect_type. -
-
- -

-

-
On Return
-
-
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
-Notes - -
    -
  1. On exit from this routine the descriptor is in the assembled - state. -
    2. -
-This call will set up all the necessary information for the halo data -exchanges. In doing so, the library will need to identify the set of -processes owning the halo indices through the use of the -desc%fnd_owner() method; the owning processes are the -topological neighbours of the calling process. If the user has some -background information on the processes that are neighbours of the -current one, it is possible to specify explicitly the list of adjacent -processes with a call to desc%set_p_adjcncy(list); this will -speed up the subsequent call to psb_cdasb. - -

- -

- - -next - -up - -previous - -contents -
- Next: psb_cdcpy Copies - Up: Data management routines - Previous: psb_cdins Communication -   Contents
- - - - diff --git a/docs/html/node78.html b/docs/html/node78.html deleted file mode 100644 index 4319c067..00000000 --- a/docs/html/node78.html +++ /dev/null @@ -1,116 +0,0 @@ - - - - - -psb_cdcpy -- Copies a communication descriptor - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cdfree Frees - Up: Data management routines - Previous: psb_cdasb Communication -   Contents -
-
- - -

-psb_cdcpy -- Copies a communication descriptor -

- -

-

-call psb_cdcpy(desc_in, desc_out, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc_in
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. - -

-

-
- -

-

-
On Return
-
-
-
desc_out
-
the communication descriptor copy. -
-Scope:local. -
-Type:required. -
-Intent: out. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node79.html b/docs/html/node79.html deleted file mode 100644 index 17081ee5..00000000 --- a/docs/html/node79.html +++ /dev/null @@ -1,103 +0,0 @@ - - - - - -psb_cdfree -- Frees a communication descriptor - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_cdbldext Build - Up: Data management routines - Previous: psb_cdcpy Copies -   Contents -
-
- - -

-psb_cdfree -- Frees a communication descriptor -

- -

-

-call psb_cdfree(desc_a, info)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
desc_a
-
the communication descriptor to be freed. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node8.html b/docs/html/node8.html deleted file mode 100644 index 16380a12..00000000 --- a/docs/html/node8.html +++ /dev/null @@ -1,121 +0,0 @@ - - - - - -Programming model - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Data Structures and Classes - Up: General overview - Previous: User-defined index mappings -   Contents -
-
- - -

-Programming model -

- -

-The PSBLAS librarary is based on the Single Program Multiple Data -(SPMD) programming model: each process participating in the -computation performs the same actions on a chunk of data. Parallelism -is thus data-driven. - -

-Because of this structure, many subroutines coordinate their action -across the various processes, thus providing an implicit -synchronization point, and therefore must be -called simultaneously by all processes participating in the -computation. This is certainly true for the data allocation and -assembly routines, for all the computational routines and for some of -the tools routines. - -

-However there are many cases where no synchronization, and indeed no -communication among processes, is implied; for instance, all the routines in -sec. 3 are only acting on the local data structures, -and thus may be called independently. The most important case is that -of the coefficient insertion routines: since the number of -coefficients in the sparse and dense matrices varies among the -processors, and since the user is free to choose an arbitrary order in -builiding the matrix entries, these routines cannot imply a -synchronization. - -

-Throughout this user's guide each subroutine will be clearly indicated -as: -

-
Synchronous:
-
must be called simultaneously by all the - processes in the relevant communication context; -
-
Asynchronous:
-
may be called in a totally independent manner. -
-
- -

- -

- - -next - -up - -previous - -contents -
- Next: Data Structures and Classes - Up: General overview - Previous: User-defined index mappings -   Contents
- - - - diff --git a/docs/html/node80.html b/docs/html/node80.html deleted file mode 100644 index 5d079885..00000000 --- a/docs/html/node80.html +++ /dev/null @@ -1,198 +0,0 @@ - - - - - -psb_cdbldext -- Build an extended communication descriptor - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees -   Contents -
-
- - -

-psb_cdbldext -- Build an extended communication - descriptor -

- -

-

-call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)
-
- -

-This subroutine builds an extended communication descriptor, based on -the input descriptor desc_a and on the stencil specified -through the input sparse matrix a. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
a
-
A sparse matrix -Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data type. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
nl
-
the number of additional layers desired. -
-Scope:global. -
-Type:required. -
-Intent: in. -
-Specified as: an integer value $nl\ge 0$. -
-
extype
-
the kind of estension required. -
-Scope:global. -
-Type:optional . -
-Intent: in. -
-Specified as: an integer value -psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_ - -

-

-
- -

-

-
On Return
-
-
-
desc_out
-
the extended communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. Specifying psb_ovt_xhal_ for the extype argument - the user will obtain a descriptor for a domain partition in which - the additional layers are fetched as part of an (extended) halo; - however the index-to-process mapping is identical to that of the - base descriptor; -
    2. -
  2. Specifying psb_ovt_asov_ for the extype argument - the user will obtain a descriptor with an overlapped decomposition: - the additional layer is aggregated to the local subdomain (and thus - is an overlap), and a new halo extending beyond the last additional - layer is formed. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees -   Contents
- - - - diff --git a/docs/html/node81.html b/docs/html/node81.html deleted file mode 100644 index e0a85c1b..00000000 --- a/docs/html/node81.html +++ /dev/null @@ -1,143 +0,0 @@ - - - - - -psb_spall -- Allocates a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_spins Insert - Up: Data management routines - Previous: psb_cdbldext Build -   Contents -
-
- - -

-psb_spall -- Allocates a sparse matrix -

- -

-

-call psb_spall(a, desc_a, info, nnz)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
nnz
-
An estimate of the number of nonzeroes in the local - part of the assembled matrix. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value. -
-
- -

-

-
On Return
-
-
-
a
-
the matrix to be allocated. -
-Scope:local -
-Type:required -
-Intent: out. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
-Notes - -
    -
  1. On exit from this routine the sparse matrix is in the build - state. -
    2. -
  2. The descriptor may be in either the build or assembled state. -
    3. -
  3. 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 - (potentially multiple) data reallocations. -
    4. -
- -

-

- - - diff --git a/docs/html/node82.html b/docs/html/node82.html deleted file mode 100644 index 08f33487..00000000 --- a/docs/html/node82.html +++ /dev/null @@ -1,335 +0,0 @@ - - - - - -psb_spins -- Insert a set of coefficients into a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates -   Contents -
-
- - -

-psb_spins -- Insert a set of coefficients into a sparse - matrix -

- -

-

-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])
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
nz
-
the number of coefficients to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer scalar. -
-
nr
-
the number of rows to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer scalar. -
-
irw
-
the first row to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer scalar. -
-
ia
-
the row indices of the coefficients to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer array of size $nz$. -
-
irp
-
the row pointers of the coefficients to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer array of size $nr+1$. -
-
ja
-
the column indices of the coefficients to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer array of size $nz$. -
-
val
-
the coefficients to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an array of size $nz$. Must be of the same type and kind -of the coefficients of the sparse matrix $a$. -
-
desc_a
-
The communication descriptor. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: a variable of type descdatapsb_desc_type. -
-
local
-
Whether the entries in the indices vectors ia, - ja are already in local numbering. -
-Scope:local. -
-Type:optional. -
-Specified as: a logical value; default: .false.. - -

-

-
- -

-

-
On Return
-
-
-
a
-
the matrix into which coefficients will be inserted. -
-Scope:local -
-Type:required -
-Intent: inout. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
desc_a
-
The communication descriptor. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: a variable of type descdatapsb_desc_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. On entry to this routine the descriptor may be in either the - build or assembled state. -
    2. -
  2. On entry to this routine the sparse matrix may be in either the - build or update state. -
    3. -
  3. 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 psb_cdins 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; -
    4. -
  4. The input data can be passed in either COO or CSR formats; -
    5. -
  5. In COO format the coefficients to be inserted are represented by - the ordered triples -$ia(i),ja(i),val(i)$, for $i=1,\dots,nz$; - these triples should belong to the current process, i.e. $ia(i)$ - should be one of the local indices, but are otherwise arbitrary; -
    6. -
  6. In CSR format the coefficients to be inserted for each input row $i=1,nr$ - are represented by the ordered triples -$(i+irw-1),ja(j),val(j)$, for - -$j=irp(i),\dots,irp(i+1)-1$; - these triples should belong to the current process, i.e. $i+irw-1$ - should be one of the local indices, but are otherwise arbitrary; -
    7. -
  7. 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); -
    8. -
  8. Coefficients from different rows may also be mixed up freely - in a single call, according to the application needs; -
    9. -
  9. Any coefficients from matrix rows not owned by the calling - process are silently ignored; -
    10. -
  10. If the descriptor is in the assembled state, then any entries in - the sparse matrix that would generate additional communication - requirements are ignored; -
    11. -
  11. If the matrix is in the update state, any entries in positions - that were not present in the original matrix are ignored. -
    12. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates -   Contents
- - - - diff --git a/docs/html/node83.html b/docs/html/node83.html deleted file mode 100644 index b44e3675..00000000 --- a/docs/html/node83.html +++ /dev/null @@ -1,209 +0,0 @@ - - - - - -psb_spasb -- Sparse matrix assembly routine - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert -   Contents -
-
- - -

-psb_spasb -- Sparse matrix assembly routine -

- -

-

-call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
afmt
-
the storage format for the sparse matrix. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an array of characters. Defalt: 'CSR'. -
-
upd
-
Provide for updates to the matrix coefficients. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_ -
-
dupl
-
How to handle duplicate coefficients. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: integer, possible values: psb_dupl_ovwrt_, -psb_dupl_add_, psb_dupl_err_. -
-
mold
-
The desired dynamic type for the internal matrix storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. -
-
- -

-

-
On Return
-
-
-
a
-
the matrix to be assembled. -
-Scope:local -
-Type:required -
-Intent: inout. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. On entry to this routine the descriptor must be in the - assembled state, i.e. psb_cdasb must already have been called. -
    2. -
  2. The sparse matrix may be in either the build or update state; -
    3. -
  3. Duplicate entries are detected and handled in both build and - update state, with the exception of the error action that is only - taken in the build state, i.e. on the first assembly; -
    4. -
  4. If the update choice is psb_upd_perm_, then subsequent - calls to psb_spins to update the matrix must be arranged in - such a way as to produce exactly the same sequence of coefficient - values as encountered at the first assembly; -
    5. -
  5. The output storage format need not be the same on all - processes; -
    6. -
  6. On exit from this routine the matrix is in the assembled state, - and thus is suitable for the computational routines. -
    7. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert -   Contents
- - - - diff --git a/docs/html/node84.html b/docs/html/node84.html deleted file mode 100644 index 2ae76326..00000000 --- a/docs/html/node84.html +++ /dev/null @@ -1,114 +0,0 @@ - - - - - -psb_spfree -- Frees a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_sprn Reinit - Up: Data management routines - Previous: psb_spasb Sparse -   Contents -
-
- - -

-psb_spfree -- Frees a sparse matrix -

- -

-

-call psb_spfree(a, desc_a, info)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
a
-
the matrix to be freed. -
-Scope:local -
-Type:required -
-Intent: inout. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node85.html b/docs/html/node85.html deleted file mode 100644 index 199f1af9..00000000 --- a/docs/html/node85.html +++ /dev/null @@ -1,133 +0,0 @@ - - - - - -psb_sprn -- Reinit sparse matrix structure for psblas routines. - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_geall Allocates - Up: Data management routines - Previous: psb_spfree Frees -   Contents -
-
- - -

-psb_sprn -- Reinit sparse matrix structure for psblas - routines. -

- -

-

-call psb_sprn(a, decsc_a, info, clear)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
a
-
the matrix to be reinitialized. -
-Scope:local -
-Type:required -
-Intent: inout. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
clear
-
Choose whether to zero out matrix coefficients -
-Scope:local. -
-Type:optional. -
-Intent: in. -
-Default: true. -
-
- -

-

-
On Return
-
-
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
-Notes - -
    -
  1. On exit from this routine the sparse matrix is in the update - state. -
    2. -
- -

-

- - - diff --git a/docs/html/node86.html b/docs/html/node86.html deleted file mode 100644 index e3b8457f..00000000 --- a/docs/html/node86.html +++ /dev/null @@ -1,151 +0,0 @@ - - - - - -psb_geall -- Allocates a dense matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_geins Dense - Up: Data management routines - Previous: psb_sprn Reinit -   Contents -
-
- - -

-psb_geall -- Allocates a dense matrix -

- -

-

-call psb_geall(x, desc_a, info, n, lb)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
desc_a
-
The communication descriptor. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a variable of type descdatapsb_desc_type. -
-
n
-
The number of columns of the dense matrix to be allocated. -
-Scope: local -
-Type: optional -
-Intent: in. -
-Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a -rank-1 array. -
-
lb
-
The lower bound for the column index range of the dense matrix to be allocated. -
-Scope: local -
-Type: optional -
-Intent: in. -
-Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a -rank-1 array. -
-
- -

-

-
On Return
-
-
-
x
-
The dense matrix to be allocated. -
-Scope: local -
-Type: required -
-Intent: out. -
-Specified as: a rank one or two array with the ALLOCATABLE attribute -or an object of type vdatapsb_T_vect_type, of type real, complex or integer. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node87.html b/docs/html/node87.html deleted file mode 100644 index 6703e027..00000000 --- a/docs/html/node87.html +++ /dev/null @@ -1,221 +0,0 @@ - - - - - -psb_geins -- Dense matrix insertion routine - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates -   Contents -
-
- - -

-psb_geins -- Dense matrix insertion routine -

- -

-

-call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
m
-
Number of rows in $val$ to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer value. -
-
irw
-
Indices of the rows to be inserted. Specifically, row $i$ - of $val$ will be inserted into the local row corresponding to the - global row index $irw(i)$. -Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer array. -
-
val
-
the dense submatrix to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a rank 1 or 2 array. -Specified as: an integer value. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
dupl
-
How to handle duplicate coefficients. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: integer, possible values: psb_dupl_ovwrt_, -psb_dupl_add_. -
-
local
-
Whether the entries in the index vector irw, - are already in local numbering. -
-Scope:local. -
-Type:optional. -
-Specified as: a logical value; default: .false.. - -

-

-
- -

-

-
On Return
-
-
-
x
-
the output dense matrix. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type, of -type real, complex or integer. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. Dense vectors/matrices do not have an associated state; -
    2. -
  2. Duplicate entries are either overwritten or added, there is no - provision for raising an error condition. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates -   Contents
- - - - diff --git a/docs/html/node88.html b/docs/html/node88.html deleted file mode 100644 index 705998d9..00000000 --- a/docs/html/node88.html +++ /dev/null @@ -1,128 +0,0 @@ - - - - - -psb_geasb -- Assembly a dense matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_gefree Frees - Up: Data management routines - Previous: psb_geins Dense -   Contents -
-
- - -

-psb_geasb -- Assembly a dense matrix -

- -

-

-call psb_geasb(x, desc_a, info, mold)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
desc_a
-
The communication descriptor. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a variable of type descdatapsb_desc_type. -
-
mold
-
The desired dynamic type for the internal vector storage. -
-Scope: local. -
-Type: optional. -
-Intent: in. -
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is -only allowed when $x$ is of type vdatapsb_T_vect_type. -
-
- -

-

-
On Return
-
-
-
x
-
The dense matrix to be assembled. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array with the ALLOCATABLE or an -object of type vdatapsb_T_vect_type, of type real, complex or integer. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
-
- - - diff --git a/docs/html/node89.html b/docs/html/node89.html deleted file mode 100644 index 48f987c1..00000000 --- a/docs/html/node89.html +++ /dev/null @@ -1,118 +0,0 @@ - - - - - -psb_gefree -- Frees a dense matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_gelp Applies - Up: Data management routines - Previous: psb_geasb Assembly -   Contents -
-
- - -

-psb_gefree -- Frees a dense matrix -

- -

-

-call psb_gefree(x, desc_a, info)
-
- -

-

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
x
-
The dense matrix to - be freed. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a rank one or two array with the ALLOCATABLE or an -object of type vdatapsb_T_vect_type, of type real, complex or integer. -
-

-

-
desc_a
-
The communication descriptor. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a variable of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node9.html b/docs/html/node9.html deleted file mode 100644 index 61c08a08..00000000 --- a/docs/html/node9.html +++ /dev/null @@ -1,253 +0,0 @@ - - - - - -Data Structures and Classes - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: Descriptor data structure - Up: userhtml - Previous: Programming model -   Contents -
-
- - -

- -
-Data Structures and Classes -

- -

-In this chapter we illustrate the data structures used for definition of -routines interfaces. They include data structures for sparse matrices, -communication descriptors and preconditioners. -

-All the data types and the basic subroutine interfaces related to -descriptors and sparse matrices are defined in -the module psb_base_mod; this will have to be included by every -user subroutine that makes use of the library. The preconditioners are -defined in the module psb_prec_mod - -

-Integer, real and complex data types are parametrized with a kind type -defined in the library as follows: -

-
psb_spk_
-
Kind parameter for short precision real and complex - data; corresponds to a REAL declaration and is - normally 4 bytes; -
-
psb_dpk_
-
Kind parameter for long precision real and complex - data; corresponds to a DOUBLE PRECISION declaration and is - normally 8 bytes; -
-
psb_mpk_
-
Kind parameter for 4-bytes integer data, as is - always used by MPI; -
-
psb_epk_
-
Kind parameter for 8-bytes integer data, as is - always used by the sizeof methods; -
-
psb_ipk_
-
Kind parameter for “local” integer indices and data; - with default build options this is a 4 bytes integer; -
-
psb_lpk_
-
Kind parameter for “global” integer indices and data; - with default build options this is an 8 bytes integer; -
-
-The integer kinds for local and global indices can be chosen at -configure time to hold 4 or 8 bytes, with the global indices at least -as large as the local ones. -Together with the classes attributes we also discuss their -methods. Most methods detailed here only act on the local variable, -i.e. their action is purely local and asynchronous unless otherwise -stated. -The list of methods here is not completely exhaustive; many methods, -especially those that alter the contents of the various objects, are -usually not needed by the end-user, and therefore are described in the -developer's documentation. - -

-

- -Subsections - - - - -
- - -next - -up - -previous - -contents -
- Next: Descriptor data structure - Up: userhtml - Previous: Programming model -   Contents
- - - - diff --git a/docs/html/node90.html b/docs/html/node90.html deleted file mode 100644 index dd9a836e..00000000 --- a/docs/html/node90.html +++ /dev/null @@ -1,138 +0,0 @@ - - - - - -psb_gelp -- Applies a left permutation to a dense matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_glob_to_loc Global - Up: Data management routines - Previous: psb_gefree Frees -   Contents -
-
- - -

-psb_gelp -- Applies a left permutation to a dense - matrix -

- -

-

-call psb_gelp(trans, iperm, x, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
trans
-
A character that specifies whether to permute $A$ or $A^T$. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$. -
-
iperm
-
An integer array containing permutation information. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: an integer one-dimensional array. -
-
x
-
The dense matrix to be permuted. -
-Scope: local -
-Type: required -
-Intent: inout. -
-Specified as: a one or two dimensional array. -
-
- -

-

-
On Return
-
-
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node91.html b/docs/html/node91.html deleted file mode 100644 index 05365418..00000000 --- a/docs/html/node91.html +++ /dev/null @@ -1,213 +0,0 @@ - - - - - -psb_glob_to_loc -- Global to local indices convertion - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies -   Contents -
-
- - -

-psb_glob_to_loc -- Global to local indices - convertion -

- -

-

-call psb_glob_to_loc(x, y, desc_a, info, iact,owned)
-call psb_glob_to_loc(x, desc_a, info, iact,owned)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
An integer vector of indices to be converted. -
-Scope: local -
-Type: required -
-Intent: in, inout. -
-Specified as: a rank one integer array. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
iact
-
specifies action to be taken in case of range errors. -Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -
-
owned
-
Specfies valid range of input -Scope: global -
-Type: optional -
-Intent: in. -
-If true, then only indices strictly owned by the current process are -considered valid, if false then halo indices are also -accepted. Default: false. -
-
- -

-

-
On Return
-
-
-
x
-
If $y$ is not present, - then $x$ is overwritten with the translated integer indices. -Scope: global -
-Type: required -
-Intent: inout. -
-Specified as: a rank one integer array. -
-
y
-
If $y$ is present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. -Scope: global -
-Type: optional -
-Intent: out. -
-Specified as: a rank one integer array. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. If an input index is out of range, then the corresponding output - index is set to a negative number; -
    2. -
  2. The default Ignore means that the negative output is the - only action taken on an out-of-range input. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies -   Contents
- - - - diff --git a/docs/html/node92.html b/docs/html/node92.html deleted file mode 100644 index 666b0bf5..00000000 --- a/docs/html/node92.html +++ /dev/null @@ -1,165 +0,0 @@ - - - - - -psb_loc_to_glob -- Local to global indices conversion - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_is_owned - Up: Data management routines - Previous: psb_glob_to_loc Global -   Contents -
-
- - -

-psb_loc_to_glob -- Local to global indices - conversion -

- -

-

-call psb_loc_to_glob(x, y, desc_a, info, iact)
-call psb_loc_to_glob(x, desc_a, info, iact)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
An integer vector of indices to be converted. -
-Scope: local -
-Type: required -
-Intent: in, inout. -
-Specified as: a rank one integer array. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
iact
-
specifies action to be taken in case of range errors. -Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -
-
- -

-

-
On Return
-
-
-
x
-
If $y$ is not present, - then $x$ is overwritten with the translated integer indices. -Scope: global -
-Type: required -
-Intent: inout. -
-Specified as: a rank one integer array. -
-
y
-
If $y$ is not present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. -Scope: global -
-Type: optional -
-Intent: out. -
-Specified as: a rank one integer array. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-

- - - diff --git a/docs/html/node93.html b/docs/html/node93.html deleted file mode 100644 index 133899aa..00000000 --- a/docs/html/node93.html +++ /dev/null @@ -1,125 +0,0 @@ - - - - - -psb_is_owned -- - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_owned_index - Up: Data management routines - Previous: psb_loc_to_glob Local -   Contents -
-
- - -

-psb_is_owned -- -

- -

-

-call psb_is_owned(x, desc_a)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
Integer index. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a scalar integer. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
Function value
-
A logical mask which is true if - $x$ is owned by the current process -Scope: local -
-Type: required -
-Intent: out. -
-
- -

-Notes - -

    -
  1. This routine returns a .true. value for an index - that is strictly owned by the current process, excluding the halo - indices -
    2. -
- -

-

- - - diff --git a/docs/html/node94.html b/docs/html/node94.html deleted file mode 100644 index 56bfb76f..00000000 --- a/docs/html/node94.html +++ /dev/null @@ -1,149 +0,0 @@ - - - - - -psb_owned_index -- - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_is_local - Up: Data management routines - Previous: psb_is_owned -   Contents -
-
- - -

-psb_owned_index -- -

- -

-

-call psb_owned_index(y, x, desc_a, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
Integer indices. -
-Scope: local -
-Type: required -
-Intent: in, inout. -
-Specified as: a scalar or a rank one integer array. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
iact
-
specifies action to be taken in case of range errors. -Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -
-
- -

-

-
On Return
-
-
-
y
-
A logical mask which is true for all corresponding entries of - $x$ that are owned by the current process -Scope: local -
-Type: required -
-Intent: out. -
-Specified as: a scalar or rank one logical array. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. This routine returns a .true. value for those indices - that are strictly owned by the current process, excluding the halo - indices -
    2. -
- -

-

- - - diff --git a/docs/html/node95.html b/docs/html/node95.html deleted file mode 100644 index 79dba935..00000000 --- a/docs/html/node95.html +++ /dev/null @@ -1,125 +0,0 @@ - - - - - -psb_is_local -- - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_local_index - Up: Data management routines - Previous: psb_owned_index -   Contents -
-
- - -

-psb_is_local -- -

- -

-

-call psb_is_local(x, desc_a)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
Integer index. -
-Scope: local -
-Type: required -
-Intent: in. -
-Specified as: a scalar integer. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
Function value
-
A logical mask which is true if - $x$ is local to the current process -Scope: local -
-Type: required -
-Intent: out. -
-
- -

-Notes - -

    -
  1. This routine returns a .true. value for an index - that is local to the current process, including the halo - indices -
    2. -
- -

-

- - - diff --git a/docs/html/node96.html b/docs/html/node96.html deleted file mode 100644 index d7e2ac97..00000000 --- a/docs/html/node96.html +++ /dev/null @@ -1,149 +0,0 @@ - - - - - -psb_local_index -- - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_get_boundary Extract - Up: Data management routines - Previous: psb_is_local -   Contents -
-
- - -

-psb_local_index -- -

- -

-

-call psb_local_index(y, x, desc_a, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
x
-
Integer indices. -
-Scope: local -
-Type: required -
-Intent: in, inout. -
-Specified as: a scalar or a rank one integer array. -
-
desc_a
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
iact
-
specifies action to be taken in case of range errors. -Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -
-
- -

-

-
On Return
-
-
-
y
-
A logical mask which is true for all corresponding entries of - $x$ that are local to the current process -Scope: local -
-Type: required -
-Intent: out. -
-Specified as: a scalar or rank one logical array. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. This routine returns a .true. value for those indices - that are local to the current process, including the halo - indices. -
    2. -
- -

-

- - - diff --git a/docs/html/node97.html b/docs/html/node97.html deleted file mode 100644 index 184f952e..00000000 --- a/docs/html/node97.html +++ /dev/null @@ -1,130 +0,0 @@ - - - - - -psb_get_boundary -- Extract list of boundary elements - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_get_overlap Extract - Up: Data management routines - Previous: psb_local_index -   Contents -
-
- - -

-psb_get_boundary -- Extract list of boundary - elements -

- -

-

-call psb_get_boundary(bndel, desc, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
bndel
-
The list of boundary elements on the calling process, in - local numbering. -
-Scope: local -
-Type: required -
-Intent: out. -
-Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. If there are no boundary elements (i.e., if the local part of - the connectivity graph is self-contained) the output vector is set - to the “not allocated” state. -
    2. -
  2. Otherwise the size of bndel will be exactly equal to the - number of boundary elements. -
    3. -
- -

-

- - - diff --git a/docs/html/node98.html b/docs/html/node98.html deleted file mode 100644 index 4f8e6938..00000000 --- a/docs/html/node98.html +++ /dev/null @@ -1,129 +0,0 @@ - - - - - -psb_get_overlap -- Extract list of overlap elements - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_sp_getrow Extract - Up: Data management routines - Previous: psb_get_boundary Extract -   Contents -
-
- - -

-psb_get_overlap -- Extract list of overlap - elements -

- -

-

-call psb_get_overlap(ovrel, desc, info)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
desc
-
the communication descriptor. -
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: a structured data of type descdatapsb_desc_type. -
-
- -

-

-
On Return
-
-
-
ovrel
-
The list of overlap elements on the calling process, in - local numbering. -
-Scope: local -
-Type: required -
-Intent: out. -
-Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  1. If there are no overlap elements the output vector is set - to the “not allocated” state. -
    2. -
  2. Otherwise the size of ovrel will be exactly equal to the - number of overlap elements. -
    3. -
- -

-

- - - diff --git a/docs/html/node99.html b/docs/html/node99.html deleted file mode 100644 index 08c2ad51..00000000 --- a/docs/html/node99.html +++ /dev/null @@ -1,256 +0,0 @@ - - - - - -psb_sp_getrow -- Extract row(s) from a sparse matrix - - - - - - - - - - - - - - - - - - -
- -next - -up - -previous - -contents -
- Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract -   Contents -
-
- - -

-psb_sp_getrow -- Extract row(s) from a sparse - matrix -

- -

-

-call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
-              & append, nzin, lrw)
-
- -

-

-
Type:
-
Asynchronous. -
-
On Entry
-
-
-
row
-
The (first) row to be extracted. -
-Scope:local -
-Type:required -
-Intent: in. -
-Specified as: an integer $>0$. -
-
a
-
the matrix from which to get rows. -
-Scope:local -
-Type:required -
-Intent: in. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-
append
-
Whether to append or overwrite existing output. -
-Scope:local -
-Type:optional -
-Intent: in. -
-Specified as: a logical value default: false (overwrite). -
-
nzin
-
Input size to be appended to. -
-Scope:local -
-Type:optional -
-Intent: in. -
-Specified as: an integer $>0$. When append is true, specifies how many -entries in the output vectors are already filled. -
-
lrw
-
The last row to be extracted. -
-Scope:local -
-Type:optional -
-Intent: in. -
-Specified as: an integer $>0$, default: $row$. - -

-

-
- -

-

-
On Return
-
-
-
nz
-
the number of elements returned by this call. -
-Scope:local. -
-Type:required. -
-Intent: out. -
-Returned as: an integer scalar. -
-
ia
-
the row indices. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: an integer array with the ALLOCATABLE attribute. -
-
ja
-
the column indices of the elements to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: an integer array with the ALLOCATABLE attribute. -
-
val
-
the elements to be inserted. -
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a real array with the ALLOCATABLE attribute. -
-
info
-
Error code. -
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
- -

-Notes - -

    -
  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. -
  2. When append=.true. the output arrays are reallocated as - necessary; -
    3. -
  3. The row and column indices are returned in the local numbering - scheme; if the global numbering is desired, the user may employ the - psb_loc_to_glob routine on the output. -
    4. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract -   Contents
- - - - diff --git a/docs/html/prev.png b/docs/html/prev.png deleted file mode 100644 index e60b8b40..00000000 Binary files a/docs/html/prev.png and /dev/null differ diff --git a/docs/html/prev_g.png b/docs/html/prev_g.png deleted file mode 100644 index 476d9568..00000000 Binary files a/docs/html/prev_g.png and /dev/null differ diff --git a/docs/html/up.png b/docs/html/up.png deleted file mode 100644 index 3937e168..00000000 Binary files a/docs/html/up.png and /dev/null differ diff --git a/docs/html/up_g.png b/docs/html/up_g.png deleted file mode 100644 index 54ceb683..00000000 Binary files a/docs/html/up_g.png and /dev/null differ diff --git a/docs/html/userhtml.css b/docs/html/userhtml.css index d1824aff..201b1c23 100644 --- a/docs/html/userhtml.css +++ b/docs/html/userhtml.css @@ -1,30 +1,157 @@ -/* Century Schoolbook font is very similar to Computer Modern Math: cmmi */ -.MATH { font-family: "Century Schoolbook", serif; } -.MATH I { font-family: "Century Schoolbook", serif; font-style: italic } -.BOLDMATH { font-family: "Century Schoolbook", serif; 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PSBLAS
User’s and Reference Guide
A reference guide for the Parallel Sparse BLAS library
Salvatore Filippone
Alfredo Buttari
Software version: 3.7.0
Jan 7th, 2020 + - - - -userhtml - - - - + + - - + +

+ Contents +
1 Introduction +
2 General overview +
 2.1 Basic Nomenclature +
 2.2 Library contents +
 2.3 Application structure +
 2.4 Programming model +
3 Data Structures and Classes +
 3.1 Descriptor data structure +
 3.2 Sparse Matrix class +
 3.3 Dense Vector Data Structure +
 3.4 Preconditioner data structure +
 3.5 Heap data structure +
4 Computational routines +
 4.1 psb_geaxpby — General Dense Matrix Sum +
 4.2 psb_gedot — Dot Product +
 4.3 psb_gedots — Generalized Dot Product +
 4.4 psb_normi — Infinity-Norm of Vector +
 4.5 psb_geamaxs — Generalized Infinity Norm +
 4.6 psb_norm1 — 1-Norm of Vector +
 4.7 psb_geasums — Generalized 1-Norm of Vector +
 4.8 psb_norm2 — 2-Norm of Vector +
 4.9 psb_genrm2s — Generalized 2-Norm of Vector +
 4.10 psb_norm1 — 1-Norm of Sparse Matrix +
 4.11 psb_normi — Infinity Norm of Sparse Matrix +
 4.12 psb_spmm — Sparse Matrix by Dense Matrix Product +
 4.13 psb_spsm — Triangular System Solve +
 4.14 psb_gemlt — Entrywise Product +
 4.15 psb_gediv — Entrywise Division +
 4.16 psb_geinv — Entrywise Inversion +
5 Communication routines +
 5.1 psb_halo — Halo Data Communication +
 5.2 psb_ovrl — Overlap Update +
 5.3 psb_gather — Gather Global Dense Matrix +
 5.4 psb_scatter — Scatter Global Dense Matrix +
6 Data management routines +
 6.1 psb_cdall — Allocates a communication descriptor +
 6.2 psb_cdins — Communication descriptor insert routine +
 6.3 psb_cdasb — Communication descriptor assembly routine +
 6.4 psb_cdcpy — Copies a communication descriptor +
 6.5 psb_cdfree — Frees a communication descriptor +
 6.6 psb_cdbldext — Build an extended communication descriptor +
 6.7 psb_spall — Allocates a sparse matrix +
 6.8 psb_spins — Insert a set of coefficients into a sparse matrix +
 6.9 psb_spasb — Sparse matrix assembly routine +
 6.10 psb_spfree — Frees a sparse matrix +
 6.11 psb_sprn — Reinit sparse matrix structure for psblas routines. +
 6.12 psb_geall — Allocates a dense matrix + - + +
 6.13 psb_geins — Dense matrix insertion routine +
 6.14 psb_geasb — Assembly a dense matrix +
 6.15 psb_gefree — Frees a dense matrix +
 6.16 psb_gelp — Applies a left permutation to a dense matrix +
 6.17 psb_glob_to_loc — Global to local indices convertion +
 6.18 psb_loc_to_glob — Local to global indices conversion +
 6.19 psb_is_owned — +
 6.20 psb_owned_index — +
 6.21 psb_is_local — +
 6.22 psb_local_index — +
 6.23 psb_get_boundary — Extract list of boundary elements +
 6.24 psb_get_overlap — Extract list of overlap elements +
 6.25 psb_sp_getrow — Extract row(s) from a sparse matrix +
 6.26 psb_sizeof — Memory occupation +
 6.27 Sorting utilities — +
7 Parallel environment routines +
 7.1 psb_init — Initializes PSBLAS parallel environment +
 7.2 psb_info — Return information about PSBLAS parallel environment +
 7.3 psb_exit — Exit from PSBLAS parallel environment +
 7.4 psb_get_mpi_comm — Get the MPI communicator +
 7.5 psb_get_mpi_rank — Get the MPI rank +
 7.6 psb_wtime — Wall clock timing +
 7.7 psb_barrier — Sinchronization point parallel environment +
 7.8 psb_abort — Abort a computation +
 7.9 psb_bcast — Broadcast data +
 7.10 psb_sum — Global sum +
 7.11 psb_max — Global maximum +
 7.12 psb_min — Global minimum +
 7.13 psb_amx — Global maximum absolute value +
 7.14 psb_amn — Global minimum absolute value +
 7.15 psb_nrm2 — Global 2-norm reduction +
 7.16 psb_snd — Send data +
 7.17 psb_rcv — Receive data +
8 Error handling +
 8.1 psb_errpush +
 8.2 psb_error +
 8.3 psb_set_errverbosity +
 8.4 psb_set_erraction +
9 Utilities +
 9.1 hb_read — Read a sparse matrix from a file in the Harwell–Boeing format +
 9.2 hb_write — Write a sparse matrix to a file in the Harwell–Boeing format +
 9.3 mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format +
 9.4 mm_array_read — Read a dense array from a file in the MatrixMarket format +
 9.5 mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format +
 9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format +
10 Preconditioner routines +
 10.1 init — Initialize a preconditioner +
 10.2 build — Builds a preconditioner +
 10.3 apply — Preconditioner application routine +
 10.4 descr — Prints a description of current preconditioner + - - + +
 10.5 clone — clone current preconditioner +
 10.6 free — Free a preconditioner +
11 Iterative Methods +
 11.1 psb_krylov — Krylov Methods Driver Routine +
References +
- -
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- Next: Contents -   Contents -
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- -language=Fortran -

-PSBLAS -
-
-User's and Reference - Guide -
A reference guide for the Parallel Sparse BLAS library -
-
-
-
Salvatore Filippone -
-Alfredo Buttari -
-Software version: 3.7.0 -
-Jan 7th, 2020 -

- - - - -
- - + + + + + + + + + + + diff --git a/docs/html/userhtml0x.png b/docs/html/userhtml0x.png new file mode 100644 index 00000000..236023f4 Binary files /dev/null and b/docs/html/userhtml0x.png differ diff --git a/docs/html/userhtml10.html b/docs/html/userhtml10.html new file mode 100644 index 00000000..5d4c39b0 --- /dev/null +++ b/docs/html/userhtml10.html @@ -0,0 +1,25 @@ + + + + + + + + + + +
+

3The subroutine style psb_precinit and psb_precbl are still supported for backward + compatibility

+ diff --git a/docs/html/userhtml100.html b/docs/html/userhtml100.html new file mode 100644 index 00000000..c38b723d --- /dev/null +++ b/docs/html/userhtml100.html @@ -0,0 +1,18 @@ + + + + + + + + + + +
+

4The string is case-insensitive

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+

5Note: the implementation is for FCG(1).

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+

1In our prototype implementation we provide sample scatter/gather routines.

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+

2This is the normal situation when the pattern of the sparse matrix is symmetric, which is + equivalent to say that the interaction between two variables is reciprocal. If the matrix pattern is + non-symmetric we may have one-way interactions, and these could cause a situation in which a + boundary point is not a halo point for its neighbour.

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+

Contents

+
+ 1 Introduction +
2 General overview +
 2.1 Basic Nomenclature +
 2.2 Library contents +
 2.3 Application structure +
  2.3.1 User-defined index mappings +
 2.4 Programming model +
3 Data Structures and Classes +
 3.1 Descriptor data structure +
  3.1.1 Descriptor Methods +
  3.1.2 get_local_rows — Get number of local rows +
  3.1.3 get_local_cols — Get number of local cols +
  3.1.4 get_global_rows — Get number of global rows +
  3.1.5 get_global_cols — Get number of global cols +
  3.1.6 get_global_indices — Get vector of global indices +
  3.1.7 get_context — Get communication context +
  3.1.8 Clone — clone current object +
  3.1.9 CNV — convert internal storage format +
  3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping switch +
  3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping switch +
  3.1.12 get_p_adjcncy — Get process adjacency list +
  3.1.13 set_p_adjcncy — Set process adjacency list +
  3.1.14 fnd_owner — Find the owner process of a set of indices +
  3.1.15 Named Constants +
 3.2 Sparse Matrix class +
  3.2.1 Sparse Matrix Methods +
  3.2.2 get_nrows — Get number of rows in a sparse matrix +
  3.2.3 get_ncols — Get number of columns in a sparse matrix +
  3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix +
  3.2.5 get_size — Get maximum number of nonzero elements in a sparse matrix +
  3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix +
  3.2.7 get_fmt — Short description of the dynamic type +
  3.2.8 is_bld, is_upd, is_asb — Status check +
  3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check +
  3.2.10 cscnv — Convert to a different storage format +
  3.2.11 csclip — Reduce to a submatrix +
  3.2.12 clean_zeros — Eliminate zero coefficients +
  3.2.13 get_diag — Get main diagonal +
  3.2.14 clip_diag — Cut out main diagonal + + + +
  3.2.15 tril — Return the lower triangle +
  3.2.16 triu — Return the upper triangle +
  3.2.17 psb_set_mat_default — Set default storage format +
  3.2.18 clone — Clone current object +
  3.2.19 Named Constants +
 3.3 Dense Vector Data Structure +
  3.3.1 Vector Methods +
  3.3.2 get_nrows — Get number of rows in a dense vector +
  3.3.3 sizeof — Get memory occupation in bytes of a dense vector +
  3.3.4 set — Set contents of the vector +
  3.3.5 get_vect — Get a copy of the vector contents +
  3.3.6 clone — Clone current object +
 3.4 Preconditioner data structure +
 3.5 Heap data structure +
4 Computational routines +
 4.1 psb_geaxpby — General Dense Matrix Sum +
 4.2 psb_gedot — Dot Product +
 4.3 psb_gedots — Generalized Dot Product +
 4.4 psb_normi — Infinity-Norm of Vector +
 4.5 psb_geamaxs — Generalized Infinity Norm +
 4.6 psb_norm1 — 1-Norm of Vector +
 4.7 psb_geasums — Generalized 1-Norm of Vector +
 4.8 psb_norm2 — 2-Norm of Vector +
 4.9 psb_genrm2s — Generalized 2-Norm of Vector +
 4.10 psb_norm1 — 1-Norm of Sparse Matrix +
 4.11 psb_normi — Infinity Norm of Sparse Matrix +
 4.12 psb_spmm — Sparse Matrix by Dense Matrix Product +
 4.13 psb_spsm — Triangular System Solve +
 4.14 psb_gemlt — Entrywise Product +
 4.15 psb_gediv — Entrywise Division +
 4.16 psb_geinv — Entrywise Inversion +
5 Communication routines +
 5.1 psb_halo — Halo Data Communication +
 5.2 psb_ovrl — Overlap Update +
 5.3 psb_gather — Gather Global Dense Matrix +
 5.4 psb_scatter — Scatter Global Dense Matrix +
6 Data management routines +
 6.1 psb_cdall — Allocates a communication descriptor +
 6.2 psb_cdins — Communication descriptor insert routine +
 6.3 psb_cdasb — Communication descriptor assembly routine +
 6.4 psb_cdcpy — Copies a communication descriptor +
 6.5 psb_cdfree — Frees a communication descriptor +
 6.6 psb_cdbldext — Build an extended communication descriptor +
 6.7 psb_spall — Allocates a sparse matrix +
 6.8 psb_spins — Insert a set of coefficients into a sparse matrix +
 6.9 psb_spasb — Sparse matrix assembly routine +
 6.10 psb_spfree — Frees a sparse matrix +
 6.11 psb_sprn — Reinit sparse matrix structure for psblas routines. +
 6.12 psb_geall — Allocates a dense matrix +
 6.13 psb_geins — Dense matrix insertion routine + + + +
 6.14 psb_geasb — Assembly a dense matrix +
 6.15 psb_gefree — Frees a dense matrix +
 6.16 psb_gelp — Applies a left permutation to a dense matrix +
 6.17 psb_glob_to_loc — Global to local indices convertion +
 6.18 psb_loc_to_glob — Local to global indices conversion +
 6.19 psb_is_owned — +
 6.20 psb_owned_index — +
 6.21 psb_is_local — +
 6.22 psb_local_index — +
 6.23 psb_get_boundary — Extract list of boundary elements +
 6.24 psb_get_overlap — Extract list of overlap elements +
 6.25 psb_sp_getrow — Extract row(s) from a sparse matrix +
 6.26 psb_sizeof — Memory occupation +
 6.27 Sorting utilities — +
7 Parallel environment routines +
 7.1 psb_init — Initializes PSBLAS parallel environment +
 7.2 psb_info — Return information about PSBLAS parallel environment +
 7.3 psb_exit — Exit from PSBLAS parallel environment +
 7.4 psb_get_mpi_comm — Get the MPI communicator +
 7.5 psb_get_mpi_rank — Get the MPI rank +
 7.6 psb_wtime — Wall clock timing +
 7.7 psb_barrier — Sinchronization point parallel environment +
 7.8 psb_abort — Abort a computation +
 7.9 psb_bcast — Broadcast data +
 7.10 psb_sum — Global sum +
 7.11 psb_max — Global maximum +
 7.12 psb_min — Global minimum +
 7.13 psb_amx — Global maximum absolute value +
 7.14 psb_amn — Global minimum absolute value +
 7.15 psb_nrm2 — Global 2-norm reduction +
 7.16 psb_snd — Send data +
 7.17 psb_rcv — Receive data +
8 Error handling +
 8.1 psb_errpush +
 8.2 psb_error +
 8.3 psb_set_errverbosity +
 8.4 psb_set_erraction +
9 Utilities +
 9.1 hb_read — Read a sparse matrix from a file in the Harwell–Boeing format +
 9.2 hb_write — Write a sparse matrix to a file in the Harwell–Boeing format +
 9.3 mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format +
 9.4 mm_array_read — Read a dense array from a file in the MatrixMarket format +
 9.5 mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format +
 9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format +
10 Preconditioner routines +
 10.1 init — Initialize a preconditioner +
 10.2 build — Builds a preconditioner +
 10.3 apply — Preconditioner application routine +
 10.4 descr — Prints a description of current preconditioner +
 10.5 clone — clone current preconditioner + + + +
 10.6 free — Free a preconditioner +
11 Iterative Methods +
 11.1 psb_krylov — Krylov Methods Driver Routine +
+ + + + + + + + + +

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+

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+

References

+

+

+

+ [1]    + D. Barbieri, V. Cardellini, S. Filippone and D. Rouson Design Patterns + for Scientific Computations on Sparse Matrices, HPSS 2011, Algorithms + and Programming Tools for Next-Generation High-Performance Scientific + Software, Bordeaux, Sep. 2011 +

+

+ [2]   G. Bella, S. Filippone, A. De Maio and M. Testa, A Simulation Model + for Forest Fires, in J. Dongarra, K. Madsen, J. Wasniewski, editors, + Proceedings of PARA 04 Workshop on State of the Art in Scientific + Computing, pp. 546–553, Lecture Notes in Computer Science, Springer, + 2005. +

+

+ [3]   A. Buttari, D. di Serafino, P. D’Ambra, S. Filippone, 2LEV-D2P4: + a package of high-performance preconditioners, Applicable Algebra in + Engineering, Communications and Computing, Volume 18, Number 3, May, + 2007, pp. 223-239 +

+

+ [4]   P. D’Ambra, S. Filippone, D. Di Serafino On the Development + of PSBLAS-based Parallel Two-level Schwarz Preconditioners Applied + Numerical Mathematics, Elsevier Science, Volume 57, Issues 11-12, + November-December 2007, Pages 1181-1196. +

+

+ [5]   Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., An + Extended Set of Fortran Basic Linear Algebra Subprograms, ACM Trans. + Math. Softw. vol. 14, 1–17, 1988. +

+

+ [6]   Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., A Set of level + 3 Basic Linear Algebra Subprograms, ACM Trans. Math. Softw. vol. 16, + 1–17, 1990. + + + +

+

+ [7]   J. J. Dongarra and R. C. Whaley, A User’s Guide to the BLACS + v. 1.1, Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of + Tennessee, March 1995 (updated May 1997). +

+

+ [8]   I. Duff, M. Marrone, G. Radicati and C. Vittoli, Level 3 Basic Linear + Algebra Subprograms for Sparse Matrices: a User Level Interface, ACM + Transactions on Mathematical Software, 23(3), pp. 379–401, 1997. +

+

+ [9]   I. Duff, M. Heroux and R. Pozo, An Overview of the Sparse Basic + Linear Algebra Subprograms: the New Standard from the BLAS Technical + Forum, ACM Transactions on Mathematical Software, 28(2), pp. 239–267, + 2002. +

+

+ [10]   S. Filippone and M. Colajanni, PSBLAS: A Library for Parallel + Linear Algebra Computation on Sparse Matrices, ACM Transactions on + Mathematical Software, 26(4), pp. 527–550, 2000. +

+

+ [11]   S. Filippone and A. Buttari, Object-Oriented Techniques for Sparse + Matrix Computations in Fortran 2003, ACM Transactions on Mathematical + Software, 38(4), 2012. +

+

+ [12]   S. Filippone, P. D’Ambra, M. Colajanni, Using a Parallel Library + of Sparse Linear Algebra in a Fluid Dynamics Applications Code on + Linux Clusters, in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, + Parallel Computing - Advances & Current Issues, pp. 441–448, Imperial + College Press, 2002. +

+

+ [13]    Gamma, E., Helm, R., Johnson, R., and Vlissides, J. 1995. Design + Patterns: Elements of Reusable Object-Oriented Software. Addison-Wesley. +

+

+ [14]   Karypis, G. and Kumar, V., METIS: Unstructured Graph Partitioning + and Sparse Matrix Ordering System. Minneapolis, MN 55455: University + of Minnesota, Department of Computer Science, 1995. Internet Address: + http://www.cs.umn.edu/~karypis. + + + +

+

+ [15]   Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., Basic Linear + Algebra Subprograms for Fortran usage, ACM Trans. Math. Softw. vol. 5, + 38–329, 1979. +

+

+ [16]   Machiels, L. and Deville, M. Fortran 90: An entry to object-oriented + programming for the solution of partial differential equations. ACM Trans. + Math. Softw. vol. 23, 32–49. +

+

+ [17]   Metcalf, M., Reid, J. and Cohen, M. Fortran 95/2003 explained. Oxford + University Press, 2004. +

+

+ [18]   Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The + Object-Oriented Way. Cambridge University Press (2011) +

+

+ [19]   M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, + MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, + MIT Press, 1998.

+ + + +

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+

1 Introduction

+

The PSBLAS library, developed with the aim to facilitate the parallelization of +computationally intensive scientific applications, is designed to address parallel +implementation of iterative solvers for sparse linear systems through the distributed +memory paradigm. It includes routines for multiplying sparse matrices by dense +matrices, solving block diagonal systems with triangular diagonal entries, +preprocessing sparse matrices, and contains additional routines for dense matrix +operations. The current implementation of PSBLAS addresses a distributed memory +execution model operating with message passing. +

The PSBLAS library version 3 is implemented in the Fortran 2003 [17] +programming language, with reuse and/or adaptation of existing Fortran 77 and +Fortran 95 software, plus a handful of C routines. +

The use of Fortran 2003 offers a number of advantages over Fortran 95, mostly in +the handling of requirements for evolution and adaptation of the library to new +computing architectures and integration of new algorithms. For a detailed discussion +of our design see [11]; other works discussing advanced programming in Fortran 2003 +include [1, 18]; sufficient support for Fortran 2003 is now available from many +compilers, including the GNU Fortran compiler from the Free Software Foundation +(as of version 4.8). +

Previous approaches have been based on mixing Fortran 95, with its support for +object-based design, with other languages; these have been advocated by a number of +authors, e.g. [16]. Moreover, the Fortran 95 facilities for dynamic memory +management and interface overloading greatly enhance the usability of the PSBLAS +subroutines. In this way, the library can take care of runtime memory requirements +that are quite difficult or even impossible to predict at implementation or +compilation time. +

The presentation of the PSBLAS library follows the general structure of the +proposal for serial Sparse BLAS [8, 9], which in its turn is based on the proposal for +BLAS on dense matrices [15, 5, 6]. +

The applicability of sparse iterative solvers to many different areas causes some +terminology problems because the same concept may be denoted through different +names depending on the application area. The PSBLAS features presented in this +document will be discussed referring to a finite difference discretization of a Partial +Differential Equation (PDE). However, the scope of the library is wider than that: for +example, it can be applied to finite element discretizations of PDEs, and even to +different classes of problems such as nonlinear optimization, for example in optimal +control problems. +

The design of a solver for sparse linear systems is driven by many conflicting +objectives, such as limiting occupation of storage resources, exploiting regularities in +the input data, exploiting hardware characteristics of the parallel platform. To +achieve an optimal communication to computation ratio on distributed memory +machines it is essential to keep the data locality as high as possible; this can be +done through an appropriate data allocation strategy. The choice of the + + + +preconditioner is another very important factor that affects efficiency of the +implemented application. Optimal data distribution requirements for a given +preconditioner may conflict with distribution requirements of the rest of the solver. +Finding the optimal trade-off may be very difficult because it is application +dependent. Possible solutions to these problems and other important inputs to the +development of the PSBLAS software package have come from an established +experience in applying the PSBLAS solvers to computational fluid dynamics +applications. + + + +

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+

10 Preconditioner routines

+

The base PSBLAS library contains the implementation of two simple preconditioning +techniques: +

+

The supporting data type and subroutine interfaces are defined in the module +psb_prec_mod. The old interfaces psb_precinit and psb_precbld are still +supported for backward compatibility + + + +

+  10.1 init — Initialize a preconditioner +
 10.2 build — Builds a preconditioner +
 10.3 apply — Preconditioner application routine +
 10.4 descr — Prints a description of current preconditioner +
 10.5 clone — clone current preconditioner +
 10.6 free — Free a preconditioner +
+ + + + + + + + +

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+

11 Iterative Methods

+

In this chapter we provide routines for preconditioners and iterative methods. +The interfaces for Krylov subspace methods are available in the module +psb_krylov_mod. + + + +

+  11.1 psb_krylov — Krylov Methods Driver Routine +
+ + + +

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+

2 General overview

+

The PSBLAS library is designed to handle the implementation of iterative solvers for +sparse linear systems on distributed memory parallel computers. The system +coefficient matrix A must be square; it may be real or complex, nonsymmetric, and +its sparsity pattern needs not to be symmetric. The serial computation parts are +based on the serial sparse BLAS, so that any extension made to the data structures +of the serial kernels is available to the parallel version. The overall design and +parallelization strategy have been influenced by the structure of the ScaLAPACK +parallel library. The layered structure of the PSBLAS library is shown in figure 1; +lower layers of the library indicate an encapsulation relationship with upper +layers. The ongoing discussion focuses on the Fortran 2003 layer immediately +below the application layer. The serial parts of the computation on each +process are executed through calls to the serial sparse BLAS subroutines. In a +similar way, the inter-process message exchanges are encapsulated in an +applicaiton layer that has been strongly inspired by the Basic Linear Algebra +Communication Subroutines (BLACS) library [7]. Usually there is no need to deal +directly with MPI; however, in some cases, MPI routines are used directly +to improve efficiency. For further details on our communication layer see +Sec. 7. +

+ + + + + + + +
+

+

PIC

+
Figure 1: PSBLAS library components hierarchy.
+ + + +

+

The type of linear system matrices that we address typically arise in +the numerical solution of PDEs; in such a context, it is necessary to pay +special attention to the structure of the problem from which the application +originates. The nonzero pattern of a matrix arising from the discretization of a +PDE is influenced by various factors, such as the shape of the domain, the +discretization strategy, and the equation/unknown ordering. The matrix itself can be +interpreted as the adjacency matrix of the graph associated with the discretization +mesh. +

The distribution of the coefficient matrix for the linear system is based on the +“owner computes” rule: the variable associated to each mesh point is assigned to a +process that will own the corresponding row in the coefficient matrix and will +carry out all related computations. This allocation strategy is equivalent to a +partition of the discretization mesh into sub-domains. Our library supports any +distribution that keeps together the coefficients of each matrix row; there are no +other constraints on the variable assignment. This choice is consistent with +simple data distributions such as CYCLIC(N) and BLOCK, as well as completely +arbitrary assignments of equation indices to processes. In particular it is +consistent with the usage of graph partitioning tools commonly available in +the literature, e.g. METIS [14]. Dense vectors conform to sparse matrices, +that is, the entries of a vector follow the same distribution of the matrix +rows. +

We assume that the sparse matrix is built in parallel, where each process generates +its own portion. We never require that the entire matrix be available on a single +node. However, it is possible to hold the entire matrix in one process and distribute it +explicitly1 , +even though the resulting memory bottleneck would make this option unattractive in +most cases. +

+  2.1 Basic Nomenclature +
 2.2 Library contents +
 2.3 Application structure +
  2.3.1 User-defined index mappings +
 2.4 Programming model +
+ + + + + + +

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+

3 Data Structures and Classes

+

In this chapter we illustrate the data structures used for definition of routines +interfaces. They include data structures for sparse matrices, communication +descriptors and preconditioners. +

All the data types and the basic subroutine interfaces related to descriptors and +sparse matrices are defined in the module psb_base_mod; this will have to be +included by every user subroutine that makes use of the library. The preconditioners +are defined in the module psb_prec_mod +

Integer, real and complex data types are parametrized with a kind type defined in +the library as follows: +

+psb_spk_
Kind parameter for short precision real and complex data; + corresponds to a REAL declaration and is normally 4 bytes; +
+psb_dpk_
Kind parameter for long precision real and complex data; + corresponds to a DOUBLE PRECISION declaration and is normally 8 bytes; +
+psb_mpk_
Kind parameter for 4-bytes integer data, as is always used by MPI; +
+psb_epk_
Kind parameter for 8-bytes integer data, as is always used by the + sizeof methods; +
+psb_ipk_
Kind parameter for “local” integer indices and data; with default + build options this is a 4 bytes integer; +
+psb_lpk_
Kind parameter for “global” integer indices and data; with default + build options this is an 8 bytes integer;
+

The integer kinds for local and global indices can be chosen at configure time to hold 4 +or 8 bytes, with the global indices at least as large as the local ones. Together with +the classes attributes we also discuss their methods. Most methods detailed here only +act on the local variable, i.e. their action is purely local and asynchronous unless +otherwise stated. The list of methods here is not completely exhaustive; many +methods, especially those that alter the contents of the various objects, are usually +not needed by the end-user, and therefore are described in the developer’s +documentation. + + + +

+

+  3.1 Descriptor data structure +
  3.1.1 Descriptor Methods +
  3.1.2 get_local_rows — Get number of local rows +
  3.1.3 get_local_cols — Get number of local cols +
  3.1.4 get_global_rows — Get number of global rows +
  3.1.5 get_global_cols — Get number of global cols +
  3.1.6 get_global_indices — Get vector of global indices +
  3.1.7 get_context — Get communication context +
  3.1.8 Clone — clone current object +
  3.1.9 CNV — convert internal storage format +
  3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping switch +
  3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping switch +
  3.1.12 get_p_adjcncy — Get process adjacency list +
  3.1.13 set_p_adjcncy — Set process adjacency list +
  3.1.14 fnd_owner — Find the owner process of a set of indices +
  3.1.15 Named Constants +
 3.2 Sparse Matrix class +
  3.2.1 Sparse Matrix Methods +
  3.2.2 get_nrows — Get number of rows in a sparse matrix +
  3.2.3 get_ncols — Get number of columns in a sparse matrix +
  3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix +
  3.2.5 get_size — Get maximum number of nonzero elements in a sparse matrix +
  3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix +
  3.2.7 get_fmt — Short description of the dynamic type +
  3.2.8 is_bld, is_upd, is_asb — Status check +
  3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check +
  3.2.10 cscnv — Convert to a different storage format +
  3.2.11 csclip — Reduce to a submatrix +
  3.2.12 clean_zeros — Eliminate zero coefficients +
  3.2.13 get_diag — Get main diagonal +
  3.2.14 clip_diag — Cut out main diagonal +
  3.2.15 tril — Return the lower triangle +
  3.2.16 triu — Return the upper triangle +
  3.2.17 psb_set_mat_default — Set default storage format +
  3.2.18 clone — Clone current object +
  3.2.19 Named Constants +
 3.3 Dense Vector Data Structure +
  3.3.1 Vector Methods +
  3.3.2 get_nrows — Get number of rows in a dense vector +
  3.3.3 sizeof — Get memory occupation in bytes of a dense vector +
  3.3.4 set — Set contents of the vector +
  3.3.5 get_vect — Get a copy of the vector contents +
  3.3.6 clone — Clone current object +
 3.4 Preconditioner data structure +
 3.5 Heap data structure +
+ + + + + + + +

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+

+ diff --git a/docs/html/userhtmlse4.html b/docs/html/userhtmlse4.html new file mode 100644 index 00000000..af168dc4 --- /dev/null +++ b/docs/html/userhtmlse4.html @@ -0,0 +1,84 @@ + + +Computational routines + + + + + + + +

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+

4 Computational routines

+ + + +
+  4.1 psb_geaxpby — General Dense Matrix Sum +
 4.2 psb_gedot — Dot Product +
 4.3 psb_gedots — Generalized Dot Product +
 4.4 psb_normi — Infinity-Norm of Vector +
 4.5 psb_geamaxs — Generalized Infinity Norm +
 4.6 psb_norm1 — 1-Norm of Vector +
 4.7 psb_geasums — Generalized 1-Norm of Vector +
 4.8 psb_norm2 — 2-Norm of Vector +
 4.9 psb_genrm2s — Generalized 2-Norm of Vector +
 4.10 psb_norm1 — 1-Norm of Sparse Matrix +
 4.11 psb_normi — Infinity Norm of Sparse Matrix +
 4.12 psb_spmm — Sparse Matrix by Dense Matrix Product +
 4.13 psb_spsm — Triangular System Solve +
 4.14 psb_gemlt — Entrywise Product +
 4.15 psb_gediv — Entrywise Division +
 4.16 psb_geinv — Entrywise Inversion +
+ + + + + + + + + + + + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlse5.html b/docs/html/userhtmlse5.html new file mode 100644 index 00000000..4cb38373 --- /dev/null +++ b/docs/html/userhtmlse5.html @@ -0,0 +1,52 @@ + + +Communication routines + + + + + + + +

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+

5 Communication routines

+

The routines in this chapter implement various global communication operators on +vectors associated with a discretization mesh. For auxiliary communication routines +not tied to a discretization space see 6. + + + +

+  5.1 psb_halo — Halo Data Communication +
 5.2 psb_ovrl — Overlap Update +
 5.3 psb_gather — Gather Global Dense Matrix +
 5.4 psb_scatter — Scatter Global Dense Matrix +
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlse6.html b/docs/html/userhtmlse6.html new file mode 100644 index 00000000..0eff0926 --- /dev/null +++ b/docs/html/userhtmlse6.html @@ -0,0 +1,115 @@ + + +Data management routines + + + + + + + +

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+

6 Data management routines

+

+

+  6.1 psb_cdall — Allocates a communication descriptor +
 6.2 psb_cdins — Communication descriptor insert routine +
 6.3 psb_cdasb — Communication descriptor assembly routine +
 6.4 psb_cdcpy — Copies a communication descriptor +
 6.5 psb_cdfree — Frees a communication descriptor +
 6.6 psb_cdbldext — Build an extended communication descriptor +
 6.7 psb_spall — Allocates a sparse matrix +
 6.8 psb_spins — Insert a set of coefficients into a sparse matrix +
 6.9 psb_spasb — Sparse matrix assembly routine +
 6.10 psb_spfree — Frees a sparse matrix +
 6.11 psb_sprn — Reinit sparse matrix structure for psblas routines. +
 6.12 psb_geall — Allocates a dense matrix +
 6.13 psb_geins — Dense matrix insertion routine +
 6.14 psb_geasb — Assembly a dense matrix +
 6.15 psb_gefree — Frees a dense matrix +
 6.16 psb_gelp — Applies a left permutation to a dense matrix +
 6.17 psb_glob_to_loc — Global to local indices convertion +
 6.18 psb_loc_to_glob — Local to global indices conversion +
 6.19 psb_is_owned — +
 6.20 psb_owned_index — +
 6.21 psb_is_local — +
 6.22 psb_local_index — +
 6.23 psb_get_boundary — Extract list of boundary elements +
 6.24 psb_get_overlap — Extract list of overlap elements +
 6.25 psb_sp_getrow — Extract row(s) from a sparse matrix +
 6.26 psb_sizeof — Memory occupation +
 6.27 Sorting utilities — +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlse7.html b/docs/html/userhtmlse7.html new file mode 100644 index 00000000..e08cc891 --- /dev/null +++ b/docs/html/userhtmlse7.html @@ -0,0 +1,87 @@ + + +Parallel environment routines + + + + + + + +

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+

7 Parallel environment routines

+ + + +
+  7.1 psb_init — Initializes PSBLAS parallel environment +
 7.2 psb_info — Return information about PSBLAS parallel environment +
 7.3 psb_exit — Exit from PSBLAS parallel environment +
 7.4 psb_get_mpi_comm — Get the MPI communicator +
 7.5 psb_get_mpi_rank — Get the MPI rank +
 7.6 psb_wtime — Wall clock timing +
 7.7 psb_barrier — Sinchronization point parallel environment +
 7.8 psb_abort — Abort a computation +
 7.9 psb_bcast — Broadcast data +
 7.10 psb_sum — Global sum +
 7.11 psb_max — Global maximum +
 7.12 psb_min — Global minimum +
 7.13 psb_amx — Global maximum absolute value +
 7.14 psb_amn — Global minimum absolute value +
 7.15 psb_nrm2 — Global 2-norm reduction +
 7.16 psb_snd — Send data +
 7.17 psb_rcv — Receive data +
+ + + + + + + + + + + + + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlse8.html b/docs/html/userhtmlse8.html new file mode 100644 index 00000000..9cd1aec0 --- /dev/null +++ b/docs/html/userhtmlse8.html @@ -0,0 +1,418 @@ + + +Error handling + + + + + + + +

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+

8 Error handling

+

The PSBLAS library error handling policy has been completely rewritten in version +2.0. The idea behind the design of this new error handling strategy is to keep error +messages on a stack allowing the user to trace back up to the point where the first +error message has been generated. Every routine in the PSBLAS-2.0 library has, as +last non-optional argument, an integer info variable; whenever, inside the routine, an +error is detected, this variable is set to a value corresponding to a specific +error code. Then this error code is also pushed on the error stack and then +either control is returned to the caller routine or the execution is aborted, +depending on the users choice. At the time when the execution is aborted, +an error message is printed on standard output with a level of verbosity +than can be chosen by the user. If the execution is not aborted, then, the +caller routine checks the value returned in the info variable and, if not +zero, an error condition is raised. This process continues on all the levels of +nested calls until the level where the user decides to abort the program +execution. +

Figure 9 shows the layout of a generic psb_foo routine with respect to the +PSBLAS-2.0 error handling policy. It is possible to see how, whenever an error +condition is detected, the info variable is set to the corresponding error code which +is, then, pushed on top of the stack by means of the psb_errpush. An error condition +may be directly detected inside a routine or indirectly checking the error code +returned returned by a called routine. Whenever an error is encountered, after it has +been pushed on stack, the program execution skips to a point where the error +condition is handled; the error condition is handled either by returning control to the +caller routine or by calling the psb\_error routine which prints the content of +the error stack and aborts the program execution, according to the choice +made by the user with psb_set_erraction. The default is to print the error +and terminate the program, but the user may choose to handle the error +explicitly. +

+ + + + + + + +
+

+

+
subroutine psb_foo(some args, info) 
   ... 
   if(error detected) then 
      info=errcode1 
      call psb_errpush(’psb_foo’, errcode1) 
      goto 9999 
   end if 
   ... 
   call psb_bar(some args, info) 
   if(info .ne. zero) then 
      info=errcode2 
      call psb_errpush(’psb_foo’, errcode2) 
      goto 9999 
   end if 
   ... 
9999 continue 
   if (err_act .eq. act_abort) then 
     call psb_error(icontxt) 
     return 
   else 
     return 
   end if 
 
end subroutine psb_foo +
+
+
Figure 9: The layout of a generic psb_foo routine with respect to PSBLAS-2.0 +error handling policy.
+ + + +

+

Figure 10 reports a sample error message generated by the PSBLAS-2.0 +library. This error has been generated by the fact that the user has chosen the +invalid “FOO” storage format to represent the sparse matrix. From this +error message it is possible to see that the error has been detected inside +the psb_cest subroutine called by psb_spasb ... by process 0 (i.e. the root +process). +

+ + + + + + + +
+

+

+========================================================== + 
Process: 0.  PSBLAS Error (4010) in subroutine: df_sample + 
Error from call to subroutine mat dist + 
========================================================== + 
Process: 0.  PSBLAS Error (4010) in subroutine: mat_distv + 
Error from call to subroutine psb_spasb + 
========================================================== + 
Process: 0.  PSBLAS Error (4010) in subroutine: psb_spasb + 
Error from call to subroutine psb_cest + 
========================================================== + 
Process: 0.  PSBLAS Error (136) in subroutine: psb_cest + 
Format FOO is unknown + 
========================================================== + 
Aborting... +
+

+
+
Figure 10: A sample PSBLAS-2.0 error message. Process 0 detected an error +condition inside the psb_cest subroutine
+ + + +

+ + + +
+  8.1 psb_errpush +
 8.2 psb_error +
 8.3 psb_set_errverbosity +
 8.4 psb_set_erraction +
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlse9.html b/docs/html/userhtmlse9.html new file mode 100644 index 00000000..466b3d20 --- /dev/null +++ b/docs/html/userhtmlse9.html @@ -0,0 +1,57 @@ + + +Utilities + + + + + + + +

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+

9 Utilities

+

We have some utilities available for input and output of sparse matrices; the +interfaces to these routines are available in the module psb_util_mod. + + + +

+  9.1 hb_read — Read a sparse matrix from a file in the Harwell–Boeing format +
 9.2 hb_write — Write a sparse matrix to a file in the Harwell–Boeing format +
 9.3 mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format +
 9.4 mm_array_read — Read a dense array from a file in the MatrixMarket format +
 9.5 mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format +
 9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format +
+ + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu1.html b/docs/html/userhtmlsu1.html new file mode 100644 index 00000000..eb0b2090 --- /dev/null +++ b/docs/html/userhtmlsu1.html @@ -0,0 +1,148 @@ + + +Basic Nomenclature + + + + + + + +

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+

2.1 Basic Nomenclature

+

Our computational model implies that the data allocation on the parallel distributed +memory machine is guided by the structure of the physical model, and specifically by +the discretization mesh of the PDE. +

Each point of the discretization mesh will have (at least) one associated +equation/variable, and therefore one index. We say that point i depends on point j if +the equation for a variable associated with i contains a term in j, or equivalently if + + + +aij≠0. After the partition of the discretization mesh into sub-domains assigned +to the parallel processes, we classify the points of a given sub-domain as +following. +

+Internal.
An internal point of a given domain depends only on points of the + same domain. If all points of a domain are assigned to one process, then + a computational step (e.g., a matrix-vector product) of the equations + associated with the internal points requires no data items from other + domains and no communications. +
+Boundary.
A point of a given domain is a boundary point if it depends on + points belonging to other domains. +
+Halo.
A halo point for a given domain is a point belonging to another domain + such that there is a boundary point which depends on it. Whenever performing + a computational step, such as a matrix-vector product, the values associated + with halo points are requested from other domains. A boundary point of a + given domain is usually a halo point for some other domain2 ; + therefore the cardinality of the boundary points set denotes the amount + of data sent to other domains. +
+Overlap.
An overlap point is a boundary point assigned to multiple domains. + Any operation that involves an overlap point has to be replicated for each + assignment.
+

Overlap points do not usually exist in the basic data distributions; however they are a +feature of Domain Decomposition Schwarz preconditioners which are the subject of +related research work [4, 3]. +

We denote the sets of internal, boundary and halo points for a given subdomain +by I, B and H. Each subdomain is assigned to one process; each process usually owns +one subdomain, although the user may choose to assign more than one subdomain to +a process. If each process i owns one subdomain, the number of rows in +the local sparse matrix is |Ii| + |Bi|, and the number of local columns (i.e. +those for which there exists at least one non-zero entry in the local rows) is +|Ii| + |Bi| + |Hi|. +

+ + + + + + + +
+

+

PIC

+
Figure 2: Point classfication.
+ + + +

+

This classification of mesh points guides the naming scheme that we adopted in +the library internals and in the data structures. We explicitly note that “Halo” points +are also often called “ghost” points in the literature. + + + +

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+

+ diff --git a/docs/html/userhtmlsu10.html b/docs/html/userhtmlsu10.html new file mode 100644 index 00000000..e1a66a1f --- /dev/null +++ b/docs/html/userhtmlsu10.html @@ -0,0 +1,233 @@ + + +psb_geaxpby — General Dense Matrix Sum + + + + + + + +

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+

4.1 psb_geaxpby — General Dense Matrix Sum

+

This subroutine is an interface to the computational kernel for dense matrix +sum: +

+y ← α x+ βy +
+

+ + + +

+call psb_geaxpby(alpha, x, beta, y, desc_a, info) +
+

+

+ + + +

+ + + +
+

+

+ + + + +
x, y, α, β Subroutine
Short Precision Real psb_geaxpby
Long Precision Real psb_geaxpby
Short Precision Complexpsb_geaxpby
Long Precision Complex psb_geaxpby
+
Table 1: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+alpha
the scalar α.
Scope: global
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 1. The + rank of x must be the same of y. +
+beta
the scalar β.
Scope: global
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +
+y
the local portion of the global dense matrix y.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of the type indicated in Table 1. + The rank of y must be the same of x. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+
+On Return
+ + + +
+y
the local portion of result submatrix y.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of the type indicated in Table 1. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu11.html b/docs/html/userhtmlsu11.html new file mode 100644 index 00000000..926766df --- /dev/null +++ b/docs/html/userhtmlsu11.html @@ -0,0 +1,249 @@ + + +psb_gedot — Dot Product + + + + + + + +

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+

4.2 psb_gedot — Dot Product

+

This function computes dot product between two vectors x and y.
If x and y are real vectors it computes dot-product as: +

+ T +dot ← x y +
+

Else if x and y are complex vectors then it computes dot-product as: +

+dot ← xHy +
+

+ + + +

+psb_gedot(x, y, desc_a, info [,global]) +
+

+ + + +

+ + + +
+

+

+ + + + +
dot, x, y Function
Short Precision Real psb_gedot
Long Precision Real psb_gedot
Short Precision Complexpsb_gedot
Long Precision Complex psb_gedot
+
Table 2: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 2. The + rank of x must be the same of y. +
+y
the local portion of global dense matrix y.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 2. The + rank of y must be the same of x. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+global
Specifies whether the computation should include the global reduction + across all processes.
Scope: global
Type: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
+
+On Return
+
+Function value
is the dot product of vectors x and y.
Scope: global unless the optional variable global=.false. has been + specified
Specified as: a number of the data type indicated in Table 2. + + + +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. The computation of a global result requires a global communication, which + entails a significant overhead. It may be necessary and/or advisable to + compute multiple dot products at the same time; in this case, it is + possible to improve the runtime efficiency by using the following scheme: + +
        vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) 
        vres(2) = psb_gedot(x2,y2,desc_a,info,global=.false.) 
        vres(3) = psb_gedot(x3,y3,desc_a,info,global=.false.) 
        call psb_sum(ictxt,vres(1:3)) + +
    +

    In this way the global communication, which for small sizes is a latency-bound + operation, is invoked only once.

+ + + + + + +

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+

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+

4.3 psb_gedots — Generalized Dot Product

+

This subroutine computes a series of dot products among the columns of two dense +matrices x and y: +

+ T +res(i) ← x(:,i) y(:,i) +
+

If the matrices are complex, then the usual convention applies, i.e. the conjugate +transpose of x is used. If x and y are of rank one, then res is a scalar, else it is a rank +one array. + + + +

+call psb_gedots(res, x, y, desc_a, info) +
+

+ + + +

+ + + +
+

+

+ + + + +
res, x, y Subroutine
Short Precision Real psb_gedots
Long Precision Real psb_gedots
Short Precision Complexpsb_gedots
Long Precision Complex psb_gedots
+
Table 3: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 3. The + rank of x must be the same of y. +
+y
the local portion of global dense matrix y.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 3. The + rank of y must be the same of x. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+res
is the dot product of vectors x and y.
Scope: global
Intent: out.
Specified as: a number or a rank-one array of the data type indicated in + Table 2. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu13.html b/docs/html/userhtmlsu13.html new file mode 100644 index 00000000..db09267b --- /dev/null +++ b/docs/html/userhtmlsu13.html @@ -0,0 +1,223 @@ + + +psb_normi — Infinity-Norm of Vector + + + + + + + +

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+

4.4 psb_normi — Infinity-Norm of Vector

+

This function computes the infinity-norm of a vector x.
If x is a real vector it computes infinity norm as: +

+amax ← maxi |xi| +
+

else if x is a complex vector then it computes the infinity-norm as: +

+amax ← maxi (|re(xi)|+ |im(xi)|) +
+

+ + + +

+psb_geamax(x, desc_a, info [,global]) + 
psb_normi(x, desc_a, info [,global]) +
+

+

+ + + +

+ + + +
+

+

+ + + +
amax x Function
Short Precision RealShort Precision Real psb_geamax
Long Precision Real Long Precision Real psb_geamax
Short Precision RealShort Precision Complexpsb_geamax
Long Precision Real Long Precision Complex psb_geamax
+
Table 4: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 4. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+global
Specifies whether the computation should include the global reduction + across all processes.
Scope: global
Type: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
+
+On Return
+
+Function value
is the infinity norm of vector x.
Scope: global unless the optional variable global=.false. has been + specified
Specified as: a long precision real number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes + + + +

    +
  1. The computation of a global result requires a global communication, which + entails a significant overhead. It may be necessary and/or advisable to compute + multiple norms at the same time; in this case, it is possible to improve the + runtime efficiency by using the following scheme: +
        vres(1) = psb_geamax(x1,desc_a,info,global=.false.) 
        vres(2) = psb_geamax(x2,desc_a,info,global=.false.) 
        vres(3) = psb_geamax(x3,desc_a,info,global=.false.) 
        call psb_amx(ictxt,vres(1:3)) + +
    +

    In this way the global communication, which for small sizes is a latency-bound + operation, is invoked only once.

+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu14.html b/docs/html/userhtmlsu14.html new file mode 100644 index 00000000..5b9f01c1 --- /dev/null +++ b/docs/html/userhtmlsu14.html @@ -0,0 +1,177 @@ + + +psb_geamaxs — Generalized Infinity Norm + + + + + + + +

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+

4.5 psb_geamaxs — Generalized Infinity Norm

+

This subroutine computes a series of infinity norms on the columns of a dense matrix +x: +

+res(i) ← makx|x(k,i)| +
+

+ + + +

+call psb_geamaxs(res, x, desc_a, info) +
+

+

+ + + +

+ + + +
+

+

+ + + +
res x Subroutine
Short Precision RealShort Precision Real psb_geamaxs
Long Precision Real Long Precision Real psb_geamaxs
Short Precision RealShort Precision Complexpsb_geamaxs
Long Precision Real Long Precision Complex psb_geamaxs
+
Table 5: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 5. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+res
is the infinity norm of the columns of x.
Scope: global
Intent: out.
Specified as: a number or a rank-one array of long precision real numbers. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu15.html b/docs/html/userhtmlsu15.html new file mode 100644 index 00000000..61096aa2 --- /dev/null +++ b/docs/html/userhtmlsu15.html @@ -0,0 +1,224 @@ + + +psb_norm1 — 1-Norm of Vector + + + + + + + +

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+

4.6 psb_norm1 — 1-Norm of Vector

+

This function computes the 1-norm of a vector x.
If x is a real vector it computes 1-norm as: +

+asum ← ∥xi∥ +
+

else if x is a complex vector then it computes 1-norm as: +

+asum ← ∥re(x)∥ + ∥im (x)∥ + 1 1 +
+

+ + + +

+psb_geasum(x, desc_a, info [,global]) + 
psb_norm1(x, desc_a, info [,global]) +
+

+

+ + + +

+ + + +
+

+

+ + + +
asum x Function
Short Precision RealShort Precision Real psb_geasum
Long Precision Real Long Precision Real psb_geasum
Short Precision RealShort Precision Complexpsb_geasum
Long Precision Real Long Precision Complex psb_geasum
+
Table 6: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 6. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+global
Specifies whether the computation should include the global reduction + across all processes.
Scope: global
Type: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
+
+On Return
+
+Function value
is the 1-norm of vector x.
Scope: global unless the optional variable global=.false. has been + specified
Specified as: a long precision real number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes + + + +

    +
  1. The computation of a global result requires a global communication, which + entails a significant overhead. It may be necessary and/or advisable to compute + multiple norms at the same time; in this case, it is possible to improve the + runtime efficiency by using the following scheme: +
        vres(1) = psb_geasum(x1,desc_a,info,global=.false.) 
        vres(2) = psb_geasum(x2,desc_a,info,global=.false.) 
        vres(3) = psb_geasum(x3,desc_a,info,global=.false.) 
        call psb_sum(ictxt,vres(1:3)) + +
    +

    In this way the global communication, which for small sizes is a latency-bound + operation, is invoked only once.

+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu16.html b/docs/html/userhtmlsu16.html new file mode 100644 index 00000000..d7792e50 --- /dev/null +++ b/docs/html/userhtmlsu16.html @@ -0,0 +1,192 @@ + + +psb_geasums — Generalized 1-Norm of Vector + + + + + + + +

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+

4.7 psb_geasums — Generalized 1-Norm of Vector

+

This subroutine computes a series of 1-norms on the columns of a dense matrix +x: +

+res(i) ← makx|x(k,i)| +
+

This function computes the 1-norm of a vector x.
If x is a real vector it computes 1-norm as: +

+res(i) ← ∥xi∥ +
+

else if x is a complex vector then it computes 1-norm as: +

+res(i) ← ∥re(x )∥1 +∥im (x )∥1 +
+

+ + + +

+call psb_geasums(res, x, desc_a, info) +
+

+

+ + + +

+ + + +
+

+

+ + + +
res x Subroutine
Short Precision RealShort Precision Real psb_geasums
Long Precision Real Long Precision Real psb_geasums
Short Precision RealShort Precision Complexpsb_geasums
Long Precision Real Long Precision Complex psb_geasums
+
Table 7: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 7. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+res
contains the 1-norm of (the columns of) x.
Scope: global
Intent: out.
Short as: a long precision real number. Specified as: a long precision real + number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu17.html b/docs/html/userhtmlsu17.html new file mode 100644 index 00000000..f040eafb --- /dev/null +++ b/docs/html/userhtmlsu17.html @@ -0,0 +1,227 @@ + + +psb_norm2 — 2-Norm of Vector + + + + + + + +

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+

4.8 psb_norm2 — 2-Norm of Vector

+

This function computes the 2-norm of a vector x.
If x is a real vector it computes 2-norm as: +

+ √ -T-- +nrm2 ← x x +
+

else if x is a complex vector then it computes 2-norm as: +

+ √---- +nrm2 ← xHx +
+

+

+ + + +

+ + + +
+

+

+ + + +
nrm2 x Function
Short Precision RealShort Precision Real psb_genrm2
Long Precision Real Long Precision Real psb_genrm2
Short Precision RealShort Precision Complexpsb_genrm2
Long Precision Real Long Precision Complex psb_genrm2
+
Table 8: Data types
+ + + +
+
+ + + +
+psb_genrm2(x, desc_a, info [,global]) + 
psb_norm2(x, desc_a, info [,global]) +
+

+

+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 8. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+global
Specifies whether the computation should include the global reduction + across all processes.
Scope: global
Type: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
+
+On Return
+
+Function Value
is the 2-norm of vector x.
Scope: global unless the optional variable global=.false. has been + specified
Type: required
Specified as: a long precision real number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + +

Notes +

    +
  1. The computation of a global result requires a global communication, which + entails a significant overhead. It may be necessary and/or advisable to compute + multiple norms at the same time; in this case, it is possible to improve the + runtime efficiency by using the following scheme: +
        vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) 
        vres(2) = psb_genrm2(x2,desc_a,info,global=.false.) 
        vres(3) = psb_genrm2(x3,desc_a,info,global=.false.) 
        call psb_nrm2(ictxt,vres(1:3)) + +
    +

    In this way the global communication, which for small sizes is a latency-bound + operation, is invoked only once.

+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu18.html b/docs/html/userhtmlsu18.html new file mode 100644 index 00000000..fa1be28a --- /dev/null +++ b/docs/html/userhtmlsu18.html @@ -0,0 +1,177 @@ + + +psb_genrm2s — Generalized 2-Norm of Vector + + + + + + + +

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+

4.9 psb_genrm2s — Generalized 2-Norm of Vector

+

This subroutine computes a series of 2-norms on the columns of a dense matrix +x: +

+res(i) ← ∥x(:,i)∥2 +
+

+ + + +

+call psb_genrm2s(res, x, desc_a, info) +
+

+

+ + + +

+ + + +
+

+

+ + + +
res x Subroutine
Short Precision RealShort Precision Real psb_genrm2s
Long Precision Real Long Precision Real psb_genrm2s
Short Precision RealShort Precision Complexpsb_genrm2s
Long Precision Real Long Precision Complex psb_genrm2s
+
Table 9: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 9. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+res
contains the 1-norm of (the columns of) x.
Scope: global
Intent: out.
Specified as: a long precision real number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu19.html b/docs/html/userhtmlsu19.html new file mode 100644 index 00000000..8de063d6 --- /dev/null +++ b/docs/html/userhtmlsu19.html @@ -0,0 +1,171 @@ + + +psb_norm1 — 1-Norm of Sparse Matrix + + + + + + + +

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+

4.10 psb_norm1 — 1-Norm of Sparse Matrix

+

This function computes the 1-norm of a matrix A:
+

+nrm1 ← ∥A ∥1 +
+

where: +

+A
represents the global matrix A
+
+ + + +

+ + + +
+

+

+ + + +
A Function
Short Precision Real psb_spnrm1
Long Precision Real psb_spnrm1
Short Precision Complexpsb_spnrm1
Long Precision Complex psb_spnrm1
+
Table 10: Data types
+ + + +
+
+ + + +
+psb_spnrm1(A, desc_a, info) + 
psb_norm1(A, desc_a, info) +
+

+

+Type:
Synchronous. +
+On Entry
+
+a
the local portion of the global sparse matrix A.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_Tspmat_type. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+Function value
is the 1-norm of sparse submatrix A.
Scope: global
Specified as: a long precision real number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu2.html b/docs/html/userhtmlsu2.html new file mode 100644 index 00000000..9c452948 --- /dev/null +++ b/docs/html/userhtmlsu2.html @@ -0,0 +1,129 @@ + + +Library contents + + + + + + + +

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+

2.2 Library contents

+

The PSBLAS library consists of various classes of subroutines: +

+Computational routines
comprising: + +
+Communication routines
handling halo and overlap communications; +
+Data management and auxiliary routines
including: + +
+Preconditioner routines
+
+Iterative methods
a subset of Krylov subspace iterative methods
+

The following naming scheme has been adopted for all the symbols internally defined in +the PSBLAS software package: +

+

In the description of the subroutines, arguments or argument entries are classified +as: +

+global
For input arguments, the value must be the same on all processes + participating in the subroutine call; for output arguments the value is + guaranteed to be the same. +
+local
Each process has its own value(s) independently.
+

To finish our general description, we define a version string with the constant +

+psb_version_string_ +
+

whose current value is 3.4.0 + + + +

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+

+ diff --git a/docs/html/userhtmlsu20.html b/docs/html/userhtmlsu20.html new file mode 100644 index 00000000..6b967d32 --- /dev/null +++ b/docs/html/userhtmlsu20.html @@ -0,0 +1,171 @@ + + +psb_normi — Infinity Norm of Sparse Matrix + + + + + + + +

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+

4.11 psb_normi — Infinity Norm of Sparse Matrix

+

This function computes the infinity-norm of a matrix A:
+

+nrmi ← ∥A∥∞ +
+

where: +

+A
represents the global matrix A
+
+ + + +

+ + + +
+

+

+ + + +
A Function
Short Precision Real psb_spnrmi
Long Precision Real psb_spnrmi
Short Precision Complexpsb_spnrmi
Long Precision Complex psb_spnrmi
+
Table 11: Data types
+ + + +
+
+ + + +
+psb_spnrmi(A, desc_a, info) + 
psb_normi(A, desc_a, info) +
+

+

+Type:
Synchronous. +
+On Entry
+
+a
the local portion of the global sparse matrix A.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_Tspmat_type. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+Function value
is the infinity-norm of sparse submatrix A.
Scope: global
Specified as: a long precision real number. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu21.html b/docs/html/userhtmlsu21.html new file mode 100644 index 00000000..1473890e --- /dev/null +++ b/docs/html/userhtmlsu21.html @@ -0,0 +1,337 @@ + + +psb_spmm — Sparse Matrix by Dense Matrix Product + + + + + + + +

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+

4.12 psb_spmm — Sparse Matrix by Dense Matrix Product

+

This subroutine computes the Sparse Matrix by Dense Matrix Product: +
+
+y ← αAx + βy +
(1)
+

+
+
+y ← αAT x+ βy +
(2)
+

+
+
+ H +y ← αA x+ βy + + + +
(3)
+

+

where: +

+x
is the global dense matrix x:,: +
+y
is the global dense matrix y:,: +
+A
is the global sparse matrix A
+
+ + + +

+ + + +
+

+

+ + + + +
A, x, y, α, β Subroutine
Short Precision Real psb_spmm
Long Precision Real psb_spmm
Short Precision Complexpsb_spmm
Long Precision Complex psb_spmm
+
Table 12: Data types
+ + + +
+
+ + + +
+call psb_spmm(alpha, a, x, beta, y, desc_a, info) + 
call psb_spmm(alpha, a, x, beta, y,desc_a, info, & + 
             & trans, work) +
+

+

+Type:
Synchronous. +
+On Entry
+
+alpha
the scalar α.
Scope: global
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 12. +
+a
the local portion of the sparse matrix A.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_Tspmat_type. +
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 12. The + rank of x must be the same of y. +
+beta
the scalar β.
Scope: global
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 12. +
+y
the local portion of global dense matrix y.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 12. The + rank of y must be the same of x. + + + +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+trans
indicates what kind of operation to perform. +
+ trans = N
the operation is specified by equation 1 +
+ trans = T
the operation is specified by equation 2 +
+ trans = C
the operation is specified by equation 3
+

Scope: global
Type: optional
Intent: in.
Default: trans = N
Specified as: a character variable. +

+work
work array.
Scope: local
Type: optional
Intent: inout.
Specified as: a rank one array of the same type of x and y with the TARGET + attribute. +
+On Return
+
+y
the local portion of result matrix y.
Scope: local
Type: required
Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified + in Table 12. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu22.html b/docs/html/userhtmlsu22.html new file mode 100644 index 00000000..bd1ad807 --- /dev/null +++ b/docs/html/userhtmlsu22.html @@ -0,0 +1,400 @@ + + +psb_spsm — Triangular System Solve + + + + + + + +

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+

4.13 psb_spsm — Triangular System Solve

+

This subroutine computes the Triangular System Solve: +

+
+y ← αT- 1x + βy + -1 +y ← αDT x +βy +y ← αT- 1Dx +βy +y ← αT- Tx+ βy +y ← αDT -Tx + βy + - T +y ← αT Dx + βy +y ← αT- Hx +βy +y ← αDT -Hx + βy +y ← αT- HDx + βy +
+
+

where: +

+x
is the global dense matrix x:,: +
+y
is the global dense matrix y:,: +
+T
is the global sparse block triangular submatrix T +
+D
is the scaling diagonal matrix.
+ + + +
+call psb_spsm(alpha, t, x, beta, y, desc_a, info) + 
call psb_spsm(alpha, t, x, beta, y, desc_a, info,& + 
             & trans, unit, choice, diag, work) +
+

+

+ + + +

+ + + +
+

+

+ + + + +
T, x, y, D, α, β Subroutine
Short Precision Real psb_spsm
Long Precision Real psb_spsm
Short Precision Complexpsb_spsm
Long Precision Complex psb_spsm
+
Table 13: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+alpha
the scalar α.
Scope: global
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 13. +
+t
the global portion of the sparse matrix T.
Scope: local
Type: required
Intent: in.
Specified as: an object type specified in  3. +
+x
the local portion of global dense matrix x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 13. The + rank of x must be the same of y. +
+beta
the scalar β.
Scope: global
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 13. +
+y
the local portion of global dense matrix y.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 13. The + rank of y must be the same of x. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. + + + +
+trans
specify with unitd the operation to perform. +
+ trans = ’N’
the operation is with no transposed matrix +
+ trans = ’T’
the operation is with transposed matrix. +
+ trans = ’C’
the operation is with conjugate transposed matrix.
+

Scope: global
Type: optional
Intent: in.
Default: trans = N
Specified as: a character variable. +

+unitd
specify with trans the operation to perform. +
+ unitd = ’U’
the operation is with no scaling +
+ unitd = ’L’
the operation is with left scaling +
+ unitd = ’R’
the operation is with right scaling.
+

Scope: global
Type: optional
Intent: in.
Default: unitd = U
Specified as: a character variable. +

+choice
specifies the update of overlap elements to be performed on exit: +
+
psb_none_ +
+
psb_sum_ +
+
psb_avg_ +
+
psb_square_root_
+

Scope: global
Type: optional
Intent: in.
Default: psb_avg_
Specified as: an integer variable. + + + +

+diag
the diagonal scaling matrix.
Scope: local
Type: optional
Intent: in.
Default: diag(1) = 1(noscaling)
Specified as: a rank one array containing numbers of the type indicated in + Table 13. +
+work
a work array.
Scope: local
Type: optional
Intent: inout.
Specified as: a rank one array of the same type of x with the TARGET + attribute. +
+On Return
+
+y
the local portion of global dense matrix y.
Scope: local
Type: required
Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified + in Table 13. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu23.html b/docs/html/userhtmlsu23.html new file mode 100644 index 00000000..720f7151 --- /dev/null +++ b/docs/html/userhtmlsu23.html @@ -0,0 +1,201 @@ + + +psb_gemlt — Entrywise Product + + + + + + + +

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+

4.14 psb_gemlt — Entrywise Product

+

This function computes the entrywise product between two vectors x and +y +

+dot ← x(i)y(i). +
+

+ + + +

+psb_gemlt(x, y, desc_a, info) +
+

+ + + +

+ + + +
+

+

+ + + + +
dot, x, y Function
Short Precision Real psb_gemlt
Long Precision Real psb_gemlt
Short Precision Complexpsb_gemlt
Long Precision Complex psb_gemlt
+
Table 14: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense vector x.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_T_vect_type containing numbers of + type specified in Table 2. +
+y
the local portion of global dense vector y.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_T_vect_type containing numbers of + type specified in Table 2. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+On Return
+
+y
the local portion of result submatrix y.
Scope: local
Type: required
Intent: inout.
Specified as: an object of type psb_T_vect_type containing numbers of + the type indicated in Table 14. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

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+

4.15 psb_gediv — Entrywise Division

+

This function computes the entrywise division between two vectors x and +y +

+∕ ← x(i)∕y(i). +
+

+ + + +

+psb_gediv(x, y, desc_a, info, [flag) +
+

+ + + +

+ + + +
+

+

+ + + + +
∕, x, y Function
Short Precision Real psb_gediv
Long Precision Real psb_gediv
Short Precision Complexpsb_gediv
Long Precision Complex psb_gediv
+
Table 15: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense vector x.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_T_vect_type containing numbers of + type specified in Table 2. +
+y
the local portion of global dense vector y.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_T_vect_type containing numbers of + type specified in Table 2. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+flag
check if any of the y(i) = 0, and in case returns error halting the + computation.
Scope: local
Type: optional Intent: in.
Specified as: the logical value flag=.true. +
+On Return
+
+x
the local portion of result submatrix x.
Scope: local
Type: required
Intent: inout.
Specified as: an object of type psb_T_vect_type containing numbers of + the type indicated in Table 14. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu25.html b/docs/html/userhtmlsu25.html new file mode 100644 index 00000000..2e9a6410 --- /dev/null +++ b/docs/html/userhtmlsu25.html @@ -0,0 +1,194 @@ + + +psb_geinv — Entrywise Inversion + + + + + + + +

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+

4.16 psb_geinv — Entrywise Inversion

+

This function computes the entrywise inverse of a vector x and puts it into +y +

+∕ ← 1∕x(i). +
+

+ + + +

+psb_geinv(x, y, desc_a, info, [flag) +
+

+ + + +

+ + + +
+

+

+ + + + +
∕, x, y Function
Short Precision Real psb_geinv
Long Precision Real psb_geinv
Short Precision Complexpsb_geinv
Long Precision Complex psb_geinv
+
Table 16: Data types
+ + + +
+
+
+Type:
Synchronous. +
+On Entry
+
+x
the local portion of global dense vector x.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_T_vect_type containing numbers of + type specified in Table 2. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: an object of type psb_desc_type. +
+flag
check if any of the x(i) = 0, and in case returns error halting the + computation.
Scope: local
Type: optional Intent: in.
Specified as: the logical value flag=.true. +
+On Return
+
+y
the local portion of result submatrix x.
Scope: local
Type: required
Intent: out.
Specified as: an object of type psb_T_vect_type containing numbers of + the type indicated in Table 16. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu26.html b/docs/html/userhtmlsu26.html new file mode 100644 index 00000000..913b6f6a --- /dev/null +++ b/docs/html/userhtmlsu26.html @@ -0,0 +1,831 @@ + + +psb_halo — Halo Data Communication + + + + + + + +

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+

5.1 psb_halo — Halo Data Communication

+

These subroutines gathers the values of the halo elements: +

+x ← x +
+

where: +

+x
is a global dense submatrix.
+
+ + + +

+ + + +
+

+

+ + + + + +
α, x Subroutine
Integer psb_halo
Short Precision Real psb_halo
Long Precision Real psb_halo
Short Precision Complexpsb_halo
Long Precision Complex psb_halo
+
Table 17: Data types
+ + + +
+
+ +
call psb_halo(x, desc_a, info) 
call psb_halo(x, desc_a, info, work, data) + +
+
+Type:
Synchronous. +
+On Entry
+
+x
global dense matrix x.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 17. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+work
the work array.
Scope: local
Type: optional
Intent: inout.
Specified as: a rank one array of the same type of x. +
+data
index list selector.
Scope: global
Type: optional
Specified + as: an integer. Values:psb_comm_halo_,psb_comm_mov_, psb_comm_ext_, + default: psb_comm_halo_. Chooses the index list on which to base the data + exchange. +
+On Return
+
+x
global dense result matrix x.
Scope: local
Type: required
Intent: inout.
Returned as: a rank one or two array containing numbers of type specified + in Table 17. +
+info
the local portion of result submatrix y.
Scope: local
Type: required
Intent: out.
An integer value that contains an error code.
+

+
+

+

PIC

+
Figure 7: Sample discretization mesh.
+

+

Usage Example Consider the discretization mesh depicted in fig. 7, 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 x vector, and process 1 assigns a value of 2, then after +a call to psb_halo the contents of the local vectors will be the following: +

+ + + +

+ + + +
+

+

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Process 0
Process 1
+
IGLOB(I)X(I) IGLOB(I)X(I)
1 1 1.0 1 33 2.0
2 2 1.0 2 34 2.0
3 3 1.0 3 35 2.0
4 4 1.0 4 36 2.0
5 5 1.0 5 37 2.0
6 6 1.0 6 38 2.0
7 7 1.0 7 39 2.0
8 8 1.0 8 40 2.0
9 9 1.0 9 41 2.0
10 10 1.010 42 2.0
11 11 1.011 43 2.0
12 12 1.012 44 2.0
13 13 1.013 45 2.0
14 14 1.014 46 2.0
15 15 1.015 47 2.0
16 16 1.016 48 2.0
17 17 1.017 49 2.0
18 18 1.018 50 2.0
19 19 1.019 51 2.0
20 20 1.020 52 2.0
21 21 1.021 53 2.0
22 22 1.022 54 2.0
23 23 1.023 55 2.0
24 24 1.024 56 2.0
25 25 1.025 57 2.0
26 26 1.026 58 2.0
27 27 1.027 59 2.0
28 28 1.028 60 2.0
29 29 1.029 61 2.0
30 30 1.030 62 2.0
31 31 1.031 63 2.0
32 32 1.032 64 2.0
33 33 2.033 25 1.0
34 34 2.034 26 1.0
35 35 2.035 27 1.0
36 36 2.036 28 1.0
37 37 2.037 29 1.0
38 38 2.038 30 1.0
39 39 2.039 31 1.0
40 40 2.040 32 1.0
+ + + +
+
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu27.html b/docs/html/userhtmlsu27.html new file mode 100644 index 00000000..60e72cae --- /dev/null +++ b/docs/html/userhtmlsu27.html @@ -0,0 +1,1013 @@ + + +psb_ovrl — Overlap Update + + + + + + + +

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+

5.2 psb_ovrl — Overlap Update

+

These subroutines applies an overlap operator to the input vector: +

+x ← Qx +
+

where: +

+x
is the global dense submatrix x +
+Q
is the overlap operator; it is the composition of two operators Pa and PT.
+
+ + + +

+ + + +
+

+

+ + + +
x Subroutine
Short Precision Real psb_ovrl
Long Precision Real psb_ovrl
Short Precision Complexpsb_ovrl
Long Precision Complex psb_ovrl
+
Table 18: Data types
+ + + +
+
+ +
call psb_ovrl(x, desc_a, info) 
call psb_ovrl(x, desc_a, info, update=update_type, work=work) + +
+
+Type:
Synchronous. +
+On Entry
+
+x
global dense matrix x.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type containing numbers of type specified in Table 18. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+update
Update operator.
+
+ update = psb_none_
Do nothing; +
+ update = psb_add_
Sum overlap entries, i.e. apply PT; +
+ update = psb_avg_
Average overlap entries, i.e. apply PaPT;
+

Scope: global
Intent: in.
Default: update_type = psb_avg_
Scope: global
Specified as: a integer variable. +

+work
the work array.
Scope: local
Type: optional
Intent: inout.
Specified as: a one dimensional array of the same type of x. + + + +
+On Return
+
+x
global dense result matrix x.
Scope: local
Type: required
Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified + in Table 18. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. If there is no overlap in the data distribution associated with the + descriptor, no operations are performed; +
    2. +
  2. The operator PT performs the reduction sum of overlap elements; it is a + “prolongation” operator PT that replicates overlap elements, accounting + for the physical replication of data; +
    3. +
  3. The operator Pa performs a scaling on the overlap elements by the + amount of replication; thus, when combined with the reduction operator, + it implements the average of replicated elements over all of their instances.
+

+ + + + + + + +
+

+

PIC

+
Figure 8: Sample discretization mesh.
+ + + +

+

Example of use Consider the discretization mesh depicted in fig. 8, partitioned +among two processes as shown by the dashed lines, with an overlap of 1 extra layer +with respect to the partition of fig. 7; the data distribution is such that +each process will own 40 entries in the index space, with an overlap of 16 +entries placed at local indices 25 through 40; the halo will run from local +index 41 through local index 48.. If process 0 assigns an initial value of 1 to +its entries in the x vector, and process 1 assigns a value of 2, then after a +call to psb_ovrl with psb_avg_ and a call to psb_halo_ the contents of +the local vectors will be the following (showing a transition among the two +subdomains) +

+ + + +

+ + + +
+

+

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Process 0
Process 1
+
IGLOB(I)X(I) IGLOB(I)X(I)
1 1 1.0 1 33 1.5
2 2 1.0 2 34 1.5
3 3 1.0 3 35 1.5
4 4 1.0 4 36 1.5
5 5 1.0 5 37 1.5
6 6 1.0 6 38 1.5
7 7 1.0 7 39 1.5
8 8 1.0 8 40 1.5
9 9 1.0 9 41 2.0
10 10 1.010 42 2.0
11 11 1.011 43 2.0
12 12 1.012 44 2.0
13 13 1.013 45 2.0
14 14 1.014 46 2.0
15 15 1.015 47 2.0
16 16 1.016 48 2.0
17 17 1.017 49 2.0
18 18 1.018 50 2.0
19 19 1.019 51 2.0
20 20 1.020 52 2.0
21 21 1.021 53 2.0
22 22 1.022 54 2.0
23 23 1.023 55 2.0
24 24 1.024 56 2.0
25 25 1.525 57 2.0
26 26 1.526 58 2.0
27 27 1.527 59 2.0
28 28 1.528 60 2.0
29 29 1.529 61 2.0
30 30 1.530 62 2.0
31 31 1.531 63 2.0
32 32 1.532 64 2.0
33 33 1.533 25 1.5
34 34 1.534 26 1.5
35 35 1.535 27 1.5
36 36 1.536 28 1.5
37 37 1.537 29 1.5
38 38 1.538 30 1.5
39 39 1.539 31 1.5
40 40 1.540 32 1.5
41 41 2.041 17 1.0
42 42 2.042 18 1.0
43 43 2.043 19 1.0
44 44 2.044 20 1.0
45 45 2.045 21 1.0
46 46 2.046 22 1.0
47 47 2.047 23 1.0
48 48 2.048 24 1.0
+ + + +
+
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu28.html b/docs/html/userhtmlsu28.html new file mode 100644 index 00000000..45fa580e --- /dev/null +++ b/docs/html/userhtmlsu28.html @@ -0,0 +1,225 @@ + + +psb_gather — Gather Global Dense Matrix + + + + + + + +

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+

5.3 psb_gather — Gather Global Dense Matrix

+

These subroutines collect the portions of global dense matrix distributed over all +process into one single array stored on one process. +

+glob-x ← collect(loc-xi) +
+

where: +

+glob_x
is the global submatrix glob_x1:m,1:n +
+loc_xi
is the local portion of global dense matrix on process i. +
+collect
is the collect function.
+
+ + + +

+ + + +
+

+

+ + + + + +
xi,y Subroutine
Integer psb_gather
Short Precision Real psb_gather
Long Precision Real psb_gather
Short Precision Complexpsb_gather
Long Precision Complex psb_gather
+
Table 19: Data types
+ + + +
+
+ +
call psb_gather(glob_x, loc_x, desc_a, info, root) 
call psb_gather(glob_x, loc_x, desc_a, info, root) + +
+
+Type:
Synchronous. +
+On Entry
+
+loc_x
the local portion of global dense matrix glob_x.
Scope: local
Type: required
Intent: in.
Specified as: a rank one or two array or an object of type + psb_T_vect_type indicated in Table 19. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+root
The process that holds the global copy. If root = -1 all the processes will + have a copy of the global vector.
Scope: global
Type: optional
Intent: in.
Specified as: an integer variable -1 ≤ root ≤ np - 1, default -1. +
+On Return
+
+glob_x
The array where the local parts must be gathered.
Scope: global
Type: required
Intent: out.
Specified as: a rank one or two array with the ALLOCATABLE attribute. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

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+

5.4 psb_scatter — Scatter Global Dense Matrix

+

These subroutines scatters the portions of global dense matrix owned by a process to +all the processes in the processes grid. +

+loc-xi ← scatter(glob-x) +
+

where: +

+glob_x
is the global matrix glob_x1:m,1:n +
+loc_xi
is the local portion of global dense matrix on process i. +
+scatter
is the scatter function.
+
+ + + +

+ + + +
+

+

+ + + + + +
xi,y Subroutine
Integer psb_scatter
Short Precision Real psb_scatter
Long Precision Real psb_scatter
Short Precision Complexpsb_scatter
Long Precision Complex psb_scatter
+
Table 20: Data types
+ + + +
+
+ +
call psb_scatter(glob_x, loc_x, desc_a, info, root, mold) + +
+
+Type:
Synchronous. +
+On Entry
+
+glob_x
The array that must be scattered into local pieces.
Scope: global
Type: required
Intent: in.
Specified as: a rank one or two array. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+root
The process that holds the global copy. If root = -1 all the processes have + a copy of the global vector.
Scope: global
Type: optional
Intent: in.
Specified as: an integer variable -1 ≤ root ≤ np - 1, default psb_root_, + i.e. process 0. +
+mold
The desired dynamic type for the internal vector storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: an object of a class derived from psb_T_base_vect_type; + this is only allowed when loc_x is of type psb_T_vect_type. +
+On Return
+
+loc_x
the local portion of global dense matrix glob_x.
Scope: local
Type: required
Intent: out.
Specified as: a rank one or two ALLOCATABLE array or an object of type + psb_T_vect_type containing numbers of the type indicated in Table 20. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu3.html b/docs/html/userhtmlsu3.html new file mode 100644 index 00000000..15721cf1 --- /dev/null +++ b/docs/html/userhtmlsu3.html @@ -0,0 +1,282 @@ + + +Application structure + + + + + + + +

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+

2.3 Application structure

+

The main underlying principle of the PSBLAS library is that the library objects are +created and exist with reference to a discretized space to which there corresponds +an index space and a matrix sparsity pattern. As an example, consider a +cell-centered finite-volume discretization of the Navier-Stokes equations on a +simulation domain; the index space 1…n is isomorphic to the set of cell centers, +whereas the pattern of the associated linear system matrix is isomorphic to the +adjacency graph imposed on the discretization mesh by the discretization +stencil. +

Thus the first order of business is to establish an index space, and this is done +with a call to psb_cdall in which we specify the size of the index space n and the +allocation of the elements of the index space to the various processes making up the +MPI (virtual) parallel machine. +

The index space is partitioned among processes, and this creates a mapping from +the “global” numbering 1…n to a numbering “local” to each process; each process i +will own a certain subset 1…nrowi, each element of which corresponds to a certain +element of 1…n. The user does not set explicitly this mapping; when the application +needs to indicate to which element of the index space a certain item is related, +such as the row and column index of a matrix coefficient, it does so in the +“global” numbering, and the library will translate into the appropriate “local” +numbering. +

For a given index space 1…n there are many possible associated topologies, i.e. +many different discretization stencils; thus the description of the index space is not +completed until the user has defined a sparsity pattern, either explicitly through +psb_cdins or implicitly through psb_spins. The descriptor is finalized with a call to +psb_cdasb and a sparse matrix with a call to psb_spasb. After psb_cdasb each +process i will have defined a set of “halo” (or “ghost”) indices nrowi + 1…ncol +i, +denoting elements of the index space that are not assigned to process i; however the +variables associated with them are needed to complete computations associated with +the sparse matrix A, and thus they have to be fetched from (neighbouring) +processes. The descriptor of the index space is built exactly for the purpose +of properly sequencing the communication steps required to achieve this +objective. +

A simple application structure will walk through the index space allocation, +matrix/vector creation and linear system solution as follows: +

    +
  1. Initialize parallel environment with psb_init +
    2. +
  2. Initialize index space with psb_cdall +
    3. +
  3. Allocate sparse matrix and dense vectors with psb_spall and psb_geall + + + +
    4. +
  4. Loop over all local rows, generate matrix and vector entries, and insert + them with psb_spins and psb_geins +
    5. +
  5. Assemble the various entities: +
      +
    1. psb_cdasb +
      2. +
    2. psb_spasb +
      3. +
    3. psb_geasb
    +
    6. +
  6. Choose the preconditioner to be used with prec%init and build it with + prec%build3 . +
    7. +
  7. Call the iterative method of choice, e.g. psb_bicgstab
+

This is the structure of the sample programs in the directory test/pargen/. +

For a simulation in which the same discretization mesh is used over multiple time +steps, the following structure may be more appropriate: +

    +
  1. Initialize parallel environment with psb_init +
    2. +
  2. Initialize index space with psb_cdall +
    3. +
  3. Loop over the topology of the discretization mesh and build the descriptor + with psb_cdins +
    4. +
  4. Assemble the descriptor with psb_cdasb +
    5. +
  5. Allocate the sparse matrices and dense vectors with psb_spall and + psb_geall +
    6. +
  6. Loop over the time steps: +
      +
    1. If after first time step, reinitialize the sparse matrix with psb_sprn; + also zero out the dense vectors; +
      2. +
    2. Loop over the mesh, generate the coefficients and insert/update them + with psb_spins and psb_geins + + + +
      3. +
    3. Assemble with psb_spasb and psb_geasb +
      4. +
    4. Choose and build preconditioner with prec%init and prec%build +
      5. +
    5. Call the iterative method of choice, e.g. psb_bicgstab
    +
+

The insertion routines will be called as many times as needed; they only need to be +called on the data that is actually allocated to the current process, i.e. each process +generates its own data. +

In principle there is no specific order in the calls to psb_spins, nor is there a +requirement to build a matrix row in its entirety before calling the routine; this +allows the application programmer to walk through the discretization mesh element +by element, generating the main part of a given matrix row but also contributions to +the rows corresponding to neighbouring elements. +

From a functional point of view it is even possible to execute one call for each +nonzero coefficient; however this would have a substantial computational +overhead. It is therefore advisable to pack a certain amount of data into each +call to the insertion routine, say touching on a few tens of rows; the best +performng value would depend on both the architecture of the computer being +used and on the problem structure. At the opposite extreme, it would be +possible to generate the entire part of a coefficient matrix residing on a +process and pass it in a single call to psb_spins; this, however, would entail a +doubling of memory occupation, and thus would be almost always far from +optimal. +

+

2.3.1 User-defined index mappings
+

PSBLAS supports user-defined global to local index mappings, subject to the +constraints outlined in sec. 2.3: +

    +
  1. The set of indices owned locally must be mapped to the set 1…nrowi; +
    2. +
  2. The set of halo points must be mapped to the set nrowi + 1…ncol +i;
+

but otherwise the mapping is arbitrary. The user application is responsible to ensure +consistency of this mapping; some errors may be caught by the library, but +this is not guaranteed. The application structure to support this usage is as +follows: +

    +
  1. Initialize index + space with psb_cdall(ictx,desc,info,vl=vl,lidx=lidx) passing the + vectors vl(:) containing the set of global indices owned by the current + process and lidx(:) containing the corresponding local indices; + + + +
    2. +
  2. Add the halo points ja(:) and their associated local indices lidx(:) with + a(some) call(s) to psb_cdins(nz,ja,desc,info,lidx=lidx); +
    3. +
  3. Assemble the descriptor with psb_cdasb; +
    4. +
  4. Build the sparse matrices and vectors, optionally making use in psb_spins + and psb_geins of the local argument specifying that the indices in ia, + ja and irw, respectively, are already local indices.
+ + + +

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+

+ diff --git a/docs/html/userhtmlsu30.html b/docs/html/userhtmlsu30.html new file mode 100644 index 00000000..10ee1c9c --- /dev/null +++ b/docs/html/userhtmlsu30.html @@ -0,0 +1,419 @@ + + +psb_cdall — Allocates a communication descriptor + + + + + + + +

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+

6.1 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,[mg=mg,flag=flag]) + 
call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]) + 
call psb_cdall(icontxt, desc_a, info,nl=nl) + 
call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.) +
+

+

This subroutine initializes the communication descriptor associated with an index +space. One of the optional arguments parts, vg, vl, nl or repl must be specified, +thereby choosing the specific initialization strategy. +

+On Entry
+
+Type:
Synchronous. +
+icontxt
the communication context.
Scope:global.
Type:required.
Intent: in.
Specified as: an integer value. +
+vg
Data allocation: each index i ∈{1…mg} is allocated to process vg(i).
Scope:global.
Type:optional.
Intent: in.
Specified as: an integer array. +
+flag
Specifies whether entries in vg are zero- or one-based.
Scope:global.
Type:optional.
Intent: in.
Specified as: an integer value 0,1, default 0. +
+mg
the (global) number of rows of the problem.
Scope:global.
Type:optional.
Intent: in.
Specified as: an integer value. It is required if parts or repl is specified, + it is optional if vg is specified. +
+parts
the subroutine that defines the partitioning scheme.
Scope:global.
Type:required.
Specified as: a subroutine. + + + +
+vl
Data allocation: the set of global indices vl(1 : nl) belonging to the calling + process.
Scope:local.
Type:optional.
Intent: in.
Specified as: an integer array. +
+nl
Data allocation: in a generalized block-row distribution the number of indices + belonging to the current process.
Scope:local.
Type:optional.
Intent: in.
Specified as: an integer value. May be specified together with vl. +
+repl
Data allocation: build a replicated index space (i.e. all processes own all + indices).
Scope:global.
Type:optional.
Intent: in.
Specified as: the logical value .true. +
+globalcheck
Data allocation: do global checks on the local index lists vl
Scope:global.
Type:optional.
Intent: in.
Specified as: a logical value, default: .false. +
+lidx
Data allocation: the set of local indices lidx(1 : nl) to be assigned to the + global indices vl.
Scope:local.
Type:optional.
Intent: in.
Specified as: an integer array.
+

+

+On Return
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: out.
Specified as: a structured data of type psb_desc_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. One of the optional arguments parts, vg, vl, nl or repl must be specified, + thereby choosing the initialization strategy as follows: +
    + parts
    In this case we have a subroutine specifying the mapping between global + indices and process/local index pairs. If this optional argument is + specified, then it is mandatory to specify the argument mg as well. The + subroutine must conform to the following interface: + + + +
    +   interface +  
         subroutine psb_parts(glob_index,mg,np,pv,nv) +  
           integer, intent (in)  :: glob_index,np,mg +  
           integer, intent (out) :: nv, pv(*) +  
         end subroutine psb_parts +  
      end interface +
    +

    The input arguments are: +

    + glob_index
    The global index to be mapped; +
    + np
    The number of processes in the mapping; +
    + mg
    The total number of global rows in the mapping;
    +

    The output arguments are: +

    + nv
    The number of entries in pv; +
    + pv
    A vector containing the indices of the processes to which the + global index should be assigend; each entry must satisfy 0 ≤ + pv(i) < np; if nv > 1 we have an index assigned to multiple + processes, i.e. we have an overlap among the subdomains.
    +
    + vg
    In this case the association between an index and a process is specified via + an integer vector vg(1:mg); each index i ∈{1…mg} is assigned to process + vg(i). The vector vg must be identical on all calling processes; its + entries may have the ranges (0…np - 1) or (1…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 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 vl specified in the calling + processes. The size may be specified via the optional argument 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…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. + + + +
    + lidx
    The optional argument lidx is available for those cases in which the user + has already established a global-to-local mapping; if it is specified, each + index in vl(i) will be mapped to the corresponding local index lidx(i). + When specifying the argument lidx the user would also likely employ + lidx in calls to psb_cdins and local in calls to psb_spins and + psb_geins; see also sec. 2.3.1. +
    + nl
    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 NI = nl global indices. +
    + 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.
    +
    2. +
  2. On exit from this routine the descriptor is in the build state. +
    3. +
  3. Calling the routine with vg or parts implies that every process will scan the + entire index space to figure out the local indices. +
    4. +
  4. Overlapped indices are possible with both parts and vl invocations. +
    5. +
  5. When the subroutine is invoked with vl in conjunction with globalcheck=.true., + it will perform a scan of the index space to search for overlap or orphan + indices. +
    6. +
  6. When the subroutine is invoked with vl in conjunction with globalcheck=.false., + no index space scan will take place. Thus it is the responsibility of the user to + make sure that the indices specified in vl have neither orphans nor overlaps; if + this assumption fails, results will be unpredictable. +
    7. +
  7. Orphan and overlap indices are impossible by construction when the subroutine + is invoked with nl (alone), or vg.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu31.html b/docs/html/userhtmlsu31.html new file mode 100644 index 00000000..d666e2d5 --- /dev/null +++ b/docs/html/userhtmlsu31.html @@ -0,0 +1,206 @@ + + +psb_cdins — Communication descriptor insert routine + + + + + + + +

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+

6.2 psb_cdins — Communication descriptor insert routine

+ + + +
+call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla]) + 
call psb_cdins(nz,ja,desc,info[,jla,mask,lidx]) +
+

+

This subroutine examines the edges of the graph associated with the +discretization mesh (and isomorphic to the sparsity pattern of a linear system +coefficient matrix), storing them as necessary into the communication descriptor. In +the first form the edges are specified as pairs of indices ia(i),ja(i); the starting index +ia(i) should belong to the current process. In the second form only the remote indices +ja(i) are specified. +

+

+Type:
Asynchronous. +
+On Entry
+
+nz
the number of points being inserted.
Scope: local.
Type: required.
Intent: in.
Specified as: an integer value. +
+ia
the indices of the starting vertex of the edges being inserted.
Scope: local.
Type: required.
Intent: in.
Specified as: an integer array of length nz. +
+ja
the indices of the end vertex of the edges being inserted.
Scope: local.
Type: required.
Intent: in.
Specified as: an integer array of length nz. +
+mask
Mask entries in ja, they are inserted only when the corresponding mask + entries are .true.
Scope: local.
Type: optional.
Intent: in.
Specified as: a logical array of length nz, default .true.. + + + +
+lidx
User defined local indices for ja.
Scope: local.
Type: optional.
Intent: in.
Specified as: an integer array of length nz.
+

+

+On Return
+
+desc_a
the updated communication descriptor.
Scope:local.
Type:required.
Intent: inout.
Specified as: a structured data of type psb_desc_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected. +
+ila
the local indices of the starting vertex of the edges being inserted.
Scope: local.
Type: optional.
Intent: out.
Specified as: an integer array of length nz. +
+jla
the local indices of the end vertex of the edges being inserted.
Scope: local.
Type: optional.
Intent: out.
Specified as: an integer array of length nz. +
+

Notes +

    +
  1. This routine may only be called if the descriptor is in the build state; +
    2. +
  2. This routine automatically ignores edges that do not insist on the current + process, i.e. edges for which neither the starting nor the end vertex belong + to the current process. +
    3. +
  3. The second form of this routine will be useful when dealing with + user-specified index mappings; see also 2.3.1.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu32.html b/docs/html/userhtmlsu32.html new file mode 100644 index 00000000..78ac9388 --- /dev/null +++ b/docs/html/userhtmlsu32.html @@ -0,0 +1,136 @@ + + +psb_cdasb — Communication descriptor assembly routine + + + + + + + +

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+

6.3 psb_cdasb — Communication descriptor assembly routine

+ + + +
+call psb_cdasb(desc_a, info [, mold]) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: inout.
Specified as: a structured data of type psb_desc_type. +
+mold
The desired dynamic type for the internal index storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: a object of type derived from (integer) + psb_T_base_vect_type.
+

+

+On Return
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: inout.
Specified as: a structured data of type psb_desc_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. On exit from this routine the descriptor is in the assembled state.
+ + + +

This call will set up all the necessary information for the halo data exchanges. In doing +so, the library will need to identify the set of processes owning the halo indices +through the use of the desc%fnd_owner() method; the owning processes +are the topological neighbours of the calling process. If the user has some +background information on the processes that are neighbours of the current one, +it is possible to specify explicitly the list of adjacent processes with a call +to desc%set_p_adjcncy(list); this will speed up the subsequent call to +psb_cdasb. + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu33.html b/docs/html/userhtmlsu33.html new file mode 100644 index 00000000..ca2898fe --- /dev/null +++ b/docs/html/userhtmlsu33.html @@ -0,0 +1,100 @@ + + +psb_cdcpy — Copies a communication descriptor + + + + + + + +

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+

6.4 psb_cdcpy — Copies a communication descriptor

+ + + +
+call psb_cdcpy(desc_in, desc_out, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc_in
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+

+

+On Return
+
+desc_out
the communication descriptor copy.
Scope:local.
Type:required.
Intent: out.
Specified as: a structured data of type psb_desc_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu34.html b/docs/html/userhtmlsu34.html new file mode 100644 index 00000000..ed9d8573 --- /dev/null +++ b/docs/html/userhtmlsu34.html @@ -0,0 +1,83 @@ + + +psb_cdfree — Frees a communication descriptor + + + + + + + +

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+

6.5 psb_cdfree — Frees a communication descriptor

+ + + +
+call psb_cdfree(desc_a, info) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+desc_a
the communication descriptor to be freed.
Scope:local.
Type:required.
Intent: inout.
Specified as: a structured data of type psb_desc_type.
+

+

+On Return
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu35.html b/docs/html/userhtmlsu35.html new file mode 100644 index 00000000..414a315a --- /dev/null +++ b/docs/html/userhtmlsu35.html @@ -0,0 +1,163 @@ + + +psb_cdbldext — Build an extended communication descriptor + + + + + + + +

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+

6.6 psb_cdbldext — Build an extended communication descriptor

+ + + +
+call psb_cdbldext(a,desc_a,nl,desc_out, info, extype) +
+

+

This subroutine builds an extended communication descriptor, based on the input +descriptor desc_a and on the stencil specified through the input sparse matrix +a. +

+Type:
Synchronous. +
+On Entry
+
+a
A sparse matrix Scope:local.
Type:required.
Intent: in.
Specified as: a structured data type. +
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_Tspmat_type. +
+nl
the number of additional layers desired.
Scope:global.
Type:required.
Intent: in.
Specified as: an integer value nl ≥ 0. +
+extype
the kind of estension required.
Scope:global.
Type:optional .
Intent: in.
Specified as: an integer value psb_ovt_xhal_, psb_ovt_asov_, default: + psb_ovt_xhal_ +
+

+

+On Return
+ + + +
+desc_out
the extended communication descriptor.
Scope:local.
Type:required.
Intent: inout.
Specified as: a structured data of type psb_desc_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. Specifying psb_ovt_xhal_ for the extype argument the user will obtain a + descriptor for a domain partition in which the additional layers are fetched + as part of an (extended) halo; however the index-to-process mapping is + identical to that of the base descriptor; +
    2. +
  2. Specifying psb_ovt_asov_ for the extype argument the user will obtain + a descriptor with an overlapped decomposition: the additional layer is + aggregated to the local subdomain (and thus is an overlap), and a new + halo extending beyond the last additional layer is formed.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html new file mode 100644 index 00000000..2d09e07a --- /dev/null +++ b/docs/html/userhtmlsu36.html @@ -0,0 +1,128 @@ + + +psb_spall — Allocates a sparse matrix + + + + + + + +

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+

6.7 psb_spall — Allocates a sparse matrix

+ + + +
+call psb_spall(a, desc_a, info, nnz) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+nnz
An estimate of the number of nonzeroes in the local part of the assembled + matrix.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value.
+

+

+On Return
+
+a
the matrix to be allocated.
Scope:local
Type:required
Intent: out.
Specified as: a structured data of type psb_Tspmat_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. On exit from this routine the sparse matrix is in the build state. + + + +
    2. +
  2. The descriptor may be in either the build or assembled state. +
    3. +
  3. 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 (potentially + multiple) data reallocations.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html new file mode 100644 index 00000000..85e282e3 --- /dev/null +++ b/docs/html/userhtmlsu37.html @@ -0,0 +1,311 @@ + + +psb_spins — Insert a set of coefficients into a sparse matrix + + + + + + + +

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+

6.8 psb_spins — Insert a set of coefficients into a sparse matrix

+ + + +
+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]) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+nz
the number of coefficients to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer scalar. +
+nr
the number of rows to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer scalar. +
+irw
the first row to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer scalar. +
+ia
the row indices of the coefficients to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer array of size nz. +
+irp
the row pointers of the coefficients to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer array of size nr + 1. + + + +
+ja
the column indices of the coefficients to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer array of size nz. +
+val
the coefficients to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an array of size nz. Must be of the same type and kind of + the coefficients of the sparse matrix a. +
+desc_a
The communication descriptor.
Scope: local.
Type: required.
Intent: inout.
Specified as: a variable of type psb_desc_type.
+
+local
Whether the entries in the indices vectors ia, ja are already in local + numbering.
Scope:local.
Type:optional.
Specified as: a logical value; default: .false.. +
+

+

+On Return
+
+a
the matrix into which coefficients will be inserted.
Scope:local
Type:required
Intent: inout.
Specified as: a structured data of type psb_Tspmat_type. +
+desc_a
The communication descriptor.
Scope: local.
Type: required.
Intent: inout.
Specified as: a variable of type psb_desc_type.
+ + + +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. On entry to this routine the descriptor may be in either the build or + assembled state. +
    2. +
  2. On entry to this routine the sparse matrix may be in either the build or + update state. +
    3. +
  3. 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 psb_cdins + 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; +
    4. +
  4. The input data can be passed in either COO or CSR formats; +
    5. +
  5. In COO format the coefficients to be inserted are represented by the + ordered triples ia(i),ja(i),val(i), for i = 1,…,nz; these triples should + belong to the current process, i.e. ia(i) should be one of the local indices, + but are otherwise arbitrary; +
    6. +
  6. In CSR format the coefficients to be inserted for each input row i = 1,nr + are represented by the ordered triples (i + irw - 1),ja(j),val(j), for + j = irp(i),…,irp(i + 1) - 1; these triples should belong to the current + process, i.e. i+irw-1 should be one of the local indices, but are otherwise + arbitrary; +
    7. +
  7. 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); +
    8. +
  8. Coefficients from different rows may also be mixed up freely in a single + call, according to the application needs; +
    9. +
  9. Any coefficients from matrix rows not owned by the calling process are + silently ignored; + + + +
    10. +
  10. If the descriptor is in the assembled state, then any entries in the sparse + matrix that would generate additional communication requirements are + ignored; +
    11. +
  11. If the matrix is in the update state, any entries in positions that were not + present in the original matrix are ignored.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html new file mode 100644 index 00000000..d3f70743 --- /dev/null +++ b/docs/html/userhtmlsu38.html @@ -0,0 +1,186 @@ + + +psb_spasb — Sparse matrix assembly routine + + + + + + + +

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+

6.9 psb_spasb — Sparse matrix assembly routine

+ + + +
+call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+afmt
the storage format for the sparse matrix.
Scope: local.
Type: optional.
Intent: in.
Specified as: an array of characters. Defalt: ’CSR’. +
+upd
Provide for updates to the matrix coefficients.
Scope: global.
Type: optional.
Intent: in.
Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_ +
+dupl
How to handle duplicate coefficients.
Scope: global.
Type: optional.
Intent: in.
Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, + psb_dupl_err_. +
+mold
The desired dynamic type for the internal matrix storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: an object of a class derived from psb_T_base_sparse_mat.
+

+ + + +

+On Return
+
+a
the matrix to be assembled.
Scope:local
Type:required
Intent: inout.
Specified as: a structured data of type psb_Tspmat_type. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. On entry to this routine the descriptor must be in the assembled state, + i.e. psb_cdasb must already have been called. +
    2. +
  2. The sparse matrix may be in either the build or update state; +
    3. +
  3. Duplicate entries are detected and handled in both build and update state, + with the exception of the error action that is only taken in the build state, + i.e. on the first assembly; +
    4. +
  4. If the update choice is psb_upd_perm_, then subsequent calls to psb_spins + to update the matrix must be arranged in such a way as to produce exactly + the same sequence of coefficient values as encountered at the first assembly; +
    5. +
  5. The output storage format need not be the same on all processes; +
    6. +
  6. On exit from this routine the matrix is in the assembled state, and thus + is suitable for the computational routines.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu39.html b/docs/html/userhtmlsu39.html new file mode 100644 index 00000000..e767aef9 --- /dev/null +++ b/docs/html/userhtmlsu39.html @@ -0,0 +1,98 @@ + + +psb_spfree — Frees a sparse matrix + + + + + + + +

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+

6.10 psb_spfree — Frees a sparse matrix

+ + + +
+call psb_spfree(a, desc_a, info) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+a
the matrix to be freed.
Scope:local
Type:required
Intent: inout.
Specified as: a structured data of type psb_Tspmat_type. +
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type.
+

+

+On Return
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu4.html b/docs/html/userhtmlsu4.html new file mode 100644 index 00000000..ffc95516 --- /dev/null +++ b/docs/html/userhtmlsu4.html @@ -0,0 +1,61 @@ + + +Programming model + + + + + + + +

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+

2.4 Programming model

+

The PSBLAS librarary is based on the Single Program Multiple Data (SPMD) +programming model: each process participating in the computation performs the +same actions on a chunk of data. Parallelism is thus data-driven. +

Because of this structure, many subroutines coordinate their action across the +various processes, thus providing an implicit synchronization point, and therefore +must be called simultaneously by all processes participating in the computation. This +is certainly true for the data allocation and assembly routines, for all the +computational routines and for some of the tools routines. +

However there are many cases where no synchronization, and indeed no +communication among processes, is implied; for instance, all the routines in sec. 3 +are only acting on the local data structures, and thus may be called independently. +The most important case is that of the coefficient insertion routines: since the +number of coefficients in the sparse and dense matrices varies among the processors, +and since the user is free to choose an arbitrary order in builiding the matrix entries, +these routines cannot imply a synchronization. +

Throughout this user’s guide each subroutine will be clearly indicated +as: +

+Synchronous:
must be called simultaneously by all the processes in the + relevant communication context; +
+Asynchronous:
may be called in a totally independent manner.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu40.html b/docs/html/userhtmlsu40.html new file mode 100644 index 00000000..2e95eec1 --- /dev/null +++ b/docs/html/userhtmlsu40.html @@ -0,0 +1,114 @@ + + +psb_sprn — Reinit sparse matrix structure for psblas routines. + + + + + + + +

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+

6.11 psb_sprn — Reinit sparse matrix structure for psblas routines.

+ + + +
+call psb_sprn(a, decsc_a, info, clear) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+a
the matrix to be reinitialized.
Scope:local
Type:required
Intent: inout.
Specified as: a structured data of type psb_Tspmat_type. +
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+clear
Choose whether to zero out matrix coefficients
Scope:local.
Type:optional.
Intent: in.
Default: true.
+

+

+On Return
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. On exit from this routine the sparse matrix is in the update state.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu41.html b/docs/html/userhtmlsu41.html new file mode 100644 index 00000000..46b2ba28 --- /dev/null +++ b/docs/html/userhtmlsu41.html @@ -0,0 +1,132 @@ + + +psb_geall — Allocates a dense matrix + + + + + + + +

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+

6.12 psb_geall — Allocates a dense matrix

+ + + +
+call psb_geall(x, desc_a, info, n, lb) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+desc_a
The communication descriptor.
Scope: local
Type: required
Intent: in.
Specified as: a variable of type psb_desc_type.
+
+n
The number of columns of the dense matrix to be allocated.
Scope: local
Type: optional
Intent: in.
Specified as: Integer scalar, default 1. It is not a valid argument if x is a + rank-1 array. +
+lb
The lower bound for the column index range of the dense matrix to be + allocated.
Scope: local
Type: optional
Intent: in.
Specified as: Integer scalar, default 1. It is not a valid argument if x is a + rank-1 array.
+

+

+On Return
+
+x
The dense matrix to be allocated.
Scope: local
Type: required
Intent: out.
Specified as: a rank one or two array with the ALLOCATABLE attribute + or an object of type psb_T_vect_type, of type real, complex or integer.
+ + + +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html new file mode 100644 index 00000000..7f215524 --- /dev/null +++ b/docs/html/userhtmlsu42.html @@ -0,0 +1,178 @@ + + +psb_geins — Dense matrix insertion routine + + + + + + + +

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+

6.13 psb_geins — Dense matrix insertion routine

+ + + +
+call psb_geins(m, irw, val, x, desc_a, info [,dupl,local]) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+m
Number of rows in val to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: an integer value. +
+irw
Indices of the rows to be inserted. Specifically, row i of val will be + inserted into the local row corresponding to the global row index irw(i). + Scope:local.
Type:required.
Intent: in.
Specified as: an integer array. +
+val
the dense submatrix to be inserted.
Scope:local.
Type:required.
Intent: in.
Specified as: a rank 1 or 2 array. Specified as: an integer value. +
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+dupl
How to handle duplicate coefficients.
Scope: global.
Type: optional.
Intent: in.
Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_. + + + +
+local
Whether the entries in the index vector irw, are already in local + numbering.
Scope:local.
Type:optional.
Specified as: a logical value; default: .false.. +
+

+

+On Return
+
+x
the output dense matrix.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array or an object of type + psb_T_vect_type, of type real, complex or integer.
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. Dense vectors/matrices do not have an associated state; +
    2. +
  2. Duplicate entries are either overwritten or added, there is no provision for + raising an error condition.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html new file mode 100644 index 00000000..3befcce9 --- /dev/null +++ b/docs/html/userhtmlsu43.html @@ -0,0 +1,123 @@ + + +psb_geasb — Assembly a dense matrix + + + + + + + +

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+

6.14 psb_geasb — Assembly a dense matrix

+ + + +
+call psb_geasb(x, desc_a, info, mold) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+desc_a
The communication descriptor.
Scope: local
Type: required
Intent: in.
Specified as: a variable of type psb_desc_type.
+
+mold
The desired dynamic type for the internal vector storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: an object of a class derived from psb_T_base_vect_type; + this is only allowed when x is of type psb_T_vect_type.
+

+

+On Return
+
+x
The dense matrix to be assembled.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array with the ALLOCATABLE or an + object of type psb_T_vect_type, of type real, complex or integer.
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + +

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+

+ diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html new file mode 100644 index 00000000..90a8c1c7 --- /dev/null +++ b/docs/html/userhtmlsu44.html @@ -0,0 +1,102 @@ + + +psb_gefree — Frees a dense matrix + + + + + + + +

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+

6.15 psb_gefree — Frees a dense matrix

+ + + +
+call psb_gefree(x, desc_a, info) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+x
The dense matrix to be freed.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one or two array with the ALLOCATABLE or an + object of type psb_T_vect_type, of type real, complex or integer.
+
+desc_a
The communication descriptor.
Scope: local
Type: required
Intent: in.
Specified as: a variable of type psb_desc_type.
+

+

+On Return
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html new file mode 100644 index 00000000..559a173a --- /dev/null +++ b/docs/html/userhtmlsu45.html @@ -0,0 +1,109 @@ + + +psb_gelp — Applies a left permutation to a dense matrix + + + + + + + +

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+

6.16 psb_gelp — Applies a left permutation to a dense matrix

+ + + +
+call psb_gelp(trans, iperm, x, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+trans
A character that specifies whether to permute A or AT.
Scope: local
Type: required
Intent: in.
Specified as: a single character with value ’N’ for A or ’T’ for AT.
+
+iperm
An integer array containing permutation information.
Scope: local
Type: required
Intent: in.
Specified as: an integer one-dimensional array.
+
+x
The dense matrix to be permuted.
Scope: local
Type: required
Intent: inout.
Specified as: a one or two dimensional array.
+

+

+On Return
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html new file mode 100644 index 00000000..3d5b5a42 --- /dev/null +++ b/docs/html/userhtmlsu46.html @@ -0,0 +1,162 @@ + + +psb_glob_to_loc — Global to local indices convertion + + + + + + + +

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+

6.17 psb_glob_to_loc — Global to local indices convertion

+ + + +
+call psb_glob_to_loc(x, y, desc_a, info, iact,owned) + 
call psb_glob_to_loc(x, desc_a, info, iact,owned) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
An integer vector of indices to be converted.
Scope: local
Type: required
Intent: in, inout.
Specified as: a rank one integer array.
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+iact
specifies action to be taken in case of range errors. Scope: global
Type: optional
Intent: in.
Specified as: a character variable Ignore, Warning or Abort, default Ignore. +
+owned
Specfies valid range of input Scope: global
Type: optional
Intent: in.
If true, then only indices strictly owned by the current process are + considered valid, if false then halo indices are also accepted. Default: false.
+

+

+On Return
+
+x
If y is not present, then x is overwritten with the translated integer indices. + Scope: global
Type: required
Intent: inout.
Specified as: a rank one integer array. + + + +
+y
If y is present, then y is overwritten with the translated integer indices, and + x is left unchanged. Scope: global
Type: optional
Intent: out.
Specified as: a rank one integer array. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. If an input index is out of range, then the corresponding output index is + set to a negative number; +
    2. +
  2. The default Ignore means that the negative output is the only action + taken on an out-of-range input.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html new file mode 100644 index 00000000..166f1bad --- /dev/null +++ b/docs/html/userhtmlsu47.html @@ -0,0 +1,140 @@ + + +psb_loc_to_glob — Local to global indices conversion + + + + + + + +

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+

6.18 psb_loc_to_glob — Local to global indices conversion

+ + + +
+call psb_loc_to_glob(x, y, desc_a, info, iact) + 
call psb_loc_to_glob(x, desc_a, info, iact) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
An integer vector of indices to be converted.
Scope: local
Type: required
Intent: in, inout.
Specified as: a rank one integer array.
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+iact
specifies action to be taken in case of range errors. Scope: global
Type: optional
Intent: in.
Specified as: a character variable Ignore, Warning or Abort, default Ignore.
+

+

+On Return
+
+x
If y is not present, then x is overwritten with the translated integer indices. + Scope: global
Type: required
Intent: inout.
Specified as: a rank one integer array. +
+y
If y is not present, then y is overwritten with the translated integer indices, + and x is left unchanged. Scope: global
Type: optional
Intent: out.
Specified as: a rank one integer array. + + + +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html new file mode 100644 index 00000000..9ed049f8 --- /dev/null +++ b/docs/html/userhtmlsu48.html @@ -0,0 +1,103 @@ + + +psb_is_owned — + + + + + + + +

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+

6.19 psb_is_owned —

+ + + +
+call psb_is_owned(x, desc_a) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
Integer index.
Scope: local
Type: required
Intent: in.
Specified as: a scalar integer.
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type.
+

+

+On Return
+
+Function value
A logical mask which is true if x is owned by the current + process Scope: local
Type: required
Intent: out.
+

Notes +

    +
  1. This routine returns a .true. value for an index that is strictly owned by + the current process, excluding the halo indices
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html new file mode 100644 index 00000000..03b88635 --- /dev/null +++ b/docs/html/userhtmlsu49.html @@ -0,0 +1,131 @@ + + +psb_owned_index — + + + + + + + +

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+

6.20 psb_owned_index —

+ + + +
+call psb_owned_index(y, x, desc_a, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
Integer indices.
Scope: local
Type: required
Intent: in, inout.
Specified as: a scalar or a rank one integer array.
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+iact
specifies action to be taken in case of range errors. Scope: global
Type: optional
Intent: in.
Specified as: a character variable Ignore, Warning or Abort, default Ignore.
+

+

+On Return
+
+y
A logical mask which is true for all corresponding entries of x that are owned + by the current process Scope: local
Type: required
Intent: out.
Specified as: a scalar or rank one logical array. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + +

Notes +

    +
  1. This routine returns a .true. value for those indices that are strictly + owned by the current process, excluding the halo indices
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu5.html b/docs/html/userhtmlsu5.html new file mode 100644 index 00000000..a3b5df1a --- /dev/null +++ b/docs/html/userhtmlsu5.html @@ -0,0 +1,814 @@ + + +Descriptor data structure + + + + + + + + + + +

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+

3.1 Descriptor data structure

+

All the general matrix informations and elements to be exchanged among processes +are stored within a data structure of the type psb_desc_type. Every structure of this +type is associated with a discretization pattern and enables data communications and +other operations that are necessary for implementing the various algorithms of +interest to us. +

The data structure itself psb_desc_type can be treated as an opaque object +handled via the tools routines of Sec. 6 or the query routines detailed below; +nevertheless we include here a description for the curious reader. +

First we describe the psb_indx_map type. This is a data structure that keeps +track of a certain number of basic issues such as: +

+

There are many different schemes for storing these data; therefore there are a number of +types extending the base one, and the descriptor structure holds a polymorphic +object whose dynamic type can be any of the extended types. The methods +associated with this data type answer the following queries: +

+ + + +

All methods but the last are purely local; the last method potentially requires +communication among processes, and thus is a synchronous method. The +choice of a specific dynamic type for the index map is made at the time the +descriptor is initially allocated, according to the mode of initialization (see +also 6). +

The descriptor contents are as follows: +

+indxmap
A polymorphic variable of a type that is any extension of the + indx_map type described above.
+
+halo_index
A list of the halo and boundary elements for the current process to be + exchanged with other processes; for each processes with which it is necessary to + communicate: +
    +
  1. Process identifier; +
    2. +
  2. Number of points to be received; +
    3. +
  3. Indices of points to be received; +
    4. +
  4. Number of points to be sent; +
    5. +
  5. Indices of points to be sent;
+

Specified as: a vector of integer type, see 3.3. +

+ext_index
A list of element indices to be exchanged to implement the mapping + between a base descriptor and a descriptor with overlap.
Specified as: a vector of integer type, see 3.3. +
+ovrlap_index
A list of the overlap elements for the current process, organized in + groups like the previous vector: +
    +
  1. Process identifier; +
    2. +
  2. Number of points to be received; +
    3. +
  3. Indices of points to be received; +
    4. +
  4. Number of points to be sent; +
    5. +
  5. Indices of points to be sent;
+ + + +

Specified as: a vector of integer type, see 3.3. +

+ovr_mst_idx
A list to retrieve the value of each overlap element from the respective + master process.
Specified as: a vector of integer type, see 3.3. +
+ovrlap_elem
For all overlap points belonging to th ecurrent process: +
    +
  1. Overlap point index; +
    2. +
  2. Number of processes sharing that overlap points; +
    3. +
  3. Index of a “master” process:
+

Specified as: an allocatable integer array of rank two. +

+bnd_elem
A list of all boundary points, i.e. points that have a connection with + other processes.
+

The Fortran 2003 declaration for psb_desc_type structures is as follows:

+
+

+

+type psb_desc_type + 
    class(psb_indx_map), allocatable :: indxmap + 
    type(psb_i_vect_type) :: v_halo_index + 
    type(psb_i_vect_type) :: v_ext_index + 
    type(psb_i_vect_type) :: v_ovrlap_index + 
    type(psb_i_vect_type) :: v_ovr_mst_idx + 
    integer, allocatable  :: ovrlap_elem(:,:) + 
    integer, allocatable  :: bnd_elem(:) + 
end type psb_desc_type +
+

+
Figure 3: The PSBLAS defined data type that contains the communication +descriptor.
+

+

A communication descriptor associated with a sparse matrix has a state, which +can take the following values: +

+Build:
State entered after the first allocation, and before the first assembly; in + this state it is possible to add communication requirements among different + processes. + + + +
+Assembled:
State entered after the assembly; computations using the + associated sparse matrix, such as matrix-vector products, are only possible + in this state.
+

+

3.1.1 Descriptor Methods
+

+

3.1.2 get_local_rows — Get number of local rows
+ + + +
+nr = desc%get_local_rows() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+

+

+On Return
+
+Function value
The number of local rows, i.e. the number of rows owned by + the current process; as explained in 1, it is equal to |Ii|+|Bi|. The returned + value is specific to the calling process.
+

+

3.1.3 get_local_cols — Get number of local cols
+ + + +
+nc = desc%get_local_cols() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+

+

+On Return
+
+Function value
The number of local cols, i.e. the number of indices used by + the current process, including both local and halo indices; as explained + in 1, it is equal to |Ii| + |Bi| + |Hi|. The returned value is specific to the + calling process.
+

+

3.1.4 get_global_rows — Get number of global rows
+ + + +
+nr = desc%get_global_rows() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+

+

+On Return
+
+Function value
The number of global rows, i.e. the size of the global index + space.
+

+

3.1.5 get_global_cols — Get number of global cols
+ + + +
+nr = desc%get_global_cols() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+

+

+On Return
+
+Function value
The number of global cols; usually this is equal to the number + of global rows.
+

+

3.1.6 get_global_indices — Get vector of global indices
+ + + +
+myidx = desc%get_global_indices([owned]) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
Type: required.
+
+owned
Choose if you only want owned indices (owned=.true.) or also halo + indices (owned=.false.). Scope: local.
Type: optional; default: .true..
+

+

+On Return
+
+Function value
The global indices, returned as an allocatable integer array of + kind psb_lpk_ and rank 1.
+

+

3.1.7 get_context — Get communication context
+ + + +
+ictxt = desc%get_context() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+

+

+On Return
+
+Function value
The communication context.
+

+

3.1.8 Clone — clone current object
+ + + +
+call  desc%clone(descout,info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+

+

+On Return
+
+descout
A copy of the input object. +
+info
Return code.
+

+

3.1.9 CNV — convert internal storage format
+ + + +
+call  desc%cnv(mold) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope: local.
+
+mold
the desired integer storage format.
Scope: local.
Specified as: a object of type derived from (integer) + psb_T_base_vect_type.
+

The mold arguments may be employed to interface with special devices, such as GPUs +and other accelerators. +

+

3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping +switch
+ + + +
+ith = psb_cd_get_large_threshold() +
+

+

+

+Type:
Asynchronous. +
+On Return
+
+Function value
The current value for the size threshold. +
+

+

3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping +switch
+ + + +
+call psb_cd_set_large_threshold(ith) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+ith
the new threshold for communication descriptors.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer value greater than zero.
+

Note: the threshold value is only queried by the library at the time a call to psb_cdall +is executed, therefore changing the threshold has no effect on communication +descriptors that have already been initialized. Moreover the threshold must have the +same value on all processes. +

+

3.1.12 get_p_adjcncy — Get process adjacency list
+ + + +
+list =  desc%get_p_adjcncy() +
+

+

+

+Type:
Asynchronous. +
+On Return
+
+Function value
The current list of adjacent processes, i.e. processes with + which the current one has to exchange halo data. +
+

+

3.1.13 set_p_adjcncy — Set process adjacency list
+ + + +
+call desc%set_p_adjcncy(list) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+list
the list of adjacent processes.
Scope: local.
Type: required.
Intent: in.
Specified as: a one-dimensional array of integers of kind psb_ipk_.
+

Note: this method can be called after a call to psb_cdall and before a call to +psb_cdasb. The user is specifying here some knowledge about which processes are +topological neighbours of the current process. The availability of this information +may speed up the execution of the assembly call psb_cdasb. +

+

3.1.14 fnd_owner — Find the owner process of a set of indices
+ + + +
+call desc%fnd_owner(idx,iprc,info) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+idx
the list of global indices for which we need the owning processes.
Scope: local.
Type: required.
Intent: in.
Specified as: a one-dimensional array of integers of kind psb_lpk_. +
+On Return
+
+iprc
the list of processes owning the indices in idx.
Scope: local.
Type: required.
Intent: in.
Specified as: an allocatable one-dimensional array of integers of kind + psb_ipk_.
+

Note: this method may or may not actually require communications, depending on the +exact internal data storage; given that the choice of storage may be altered by +runtime parameters, it is necessary for safety that this method is called by all +processes. +

+

3.1.15 Named Constants
+

+

+psb_none_
Generic no-op; +
+psb_root_
Default root process for broadcast and scatter operations; +
+psb_nohalo_
Do not fetch halo elements; +
+psb_halo_
Fetch halo elements from neighbouring processes; + + + +
+psb_sum_
Sum overlapped elements +
+psb_avg_
Average overlapped elements +
+psb_comm_halo_
Exchange data based on the halo_index list; +
+psb_comm_ext_
Exchange data based on the ext_index list; +
+psb_comm_ovr_
Exchange data based on the ovrlap_index list; +
+psb_comm_mov_
Exchange data based on the ovr_mst_idx list; +
+ + + +

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+

+ diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html new file mode 100644 index 00000000..abeeb70d --- /dev/null +++ b/docs/html/userhtmlsu50.html @@ -0,0 +1,103 @@ + + +psb_is_local — + + + + + + + +

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+

6.21 psb_is_local —

+ + + +
+call psb_is_local(x, desc_a) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
Integer index.
Scope: local
Type: required
Intent: in.
Specified as: a scalar integer.
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type.
+

+

+On Return
+
+Function value
A logical mask which is true if x is local to the current process + Scope: local
Type: required
Intent: out.
+

Notes +

    +
  1. This routine returns a .true. value for an index that is local to the current + process, including the halo indices
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html new file mode 100644 index 00000000..98b2f4aa --- /dev/null +++ b/docs/html/userhtmlsu51.html @@ -0,0 +1,131 @@ + + +psb_local_index — + + + + + + + +

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+

6.22 psb_local_index —

+ + + +
+call psb_local_index(y, x, desc_a, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
Integer indices.
Scope: local
Type: required
Intent: in, inout.
Specified as: a scalar or a rank one integer array.
+
+desc_a
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+iact
specifies action to be taken in case of range errors. Scope: global
Type: optional
Intent: in.
Specified as: a character variable Ignore, Warning or Abort, default Ignore.
+

+

+On Return
+
+y
A logical mask which is true for all corresponding entries of x that are local + to the current process Scope: local
Type: required
Intent: out.
Specified as: a scalar or rank one logical array. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + +

Notes +

    +
  1. This routine returns a .true. value for those indices that are local to the + current process, including the halo indices.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html new file mode 100644 index 00000000..d970c404 --- /dev/null +++ b/docs/html/userhtmlsu52.html @@ -0,0 +1,107 @@ + + +psb_get_boundary — Extract list of boundary elements + + + + + + + +

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+

6.23 psb_get_boundary — Extract list of boundary elements

+ + + +
+call psb_get_boundary(bndel, desc, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type.
+

+

+On Return
+
+bndel
The list of boundary elements on the calling process, in local numbering.
Scope: local
Type: required
Intent: out.
Specified as: a rank one array with the ALLOCATABLE attribute, of type + integer.
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. If there are no boundary elements (i.e., if the local part of the connectivity + graph is self-contained) the output vector is set to the “not allocated” + state. +
    2. +
  2. Otherwise the size of bndel will be exactly equal to the number of + boundary elements.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html new file mode 100644 index 00000000..4d5f699c --- /dev/null +++ b/docs/html/userhtmlsu53.html @@ -0,0 +1,106 @@ + + +psb_get_overlap — Extract list of overlap elements + + + + + + + +

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+

6.24 psb_get_overlap — Extract list of overlap elements

+ + + +
+call psb_get_overlap(ovrel, desc, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+desc
the communication descriptor.
Scope:local.
Type:required.
Intent: in.
Specified as: a structured data of type psb_desc_type.
+

+

+On Return
+
+ovrel
The list of overlap elements on the calling process, in local numbering.
Scope: local
Type: required
Intent: out.
Specified as: a rank one array with the ALLOCATABLE attribute, of type + integer.
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  1. If there are no overlap elements the output vector is set to the “not + allocated” state. +
    2. +
  2. Otherwise the size of ovrel will be exactly equal to the number of overlap + elements.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html new file mode 100644 index 00000000..e37335c6 --- /dev/null +++ b/docs/html/userhtmlsu54.html @@ -0,0 +1,209 @@ + + +psb_sp_getrow — Extract row(s) from a sparse matrix + + + + + + + +

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+

6.25 psb_sp_getrow — Extract row(s) from a sparse matrix

+ + + +
+call psb_sp_getrow(row, a, nz, ia, ja, val, info, & + 
              & append, nzin, lrw) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+row
The (first) row to be extracted.
Scope:local
Type:required
Intent: in.
Specified as: an integer > 0. +
+a
the matrix from which to get rows.
Scope:local
Type:required
Intent: in.
Specified as: a structured data of type psb_Tspmat_type. +
+append
Whether to append or overwrite existing output.
Scope:local
Type:optional
Intent: in.
Specified as: a logical value default: false (overwrite). +
+nzin
Input size to be appended to.
Scope:local
Type:optional
Intent: in.
Specified as: an integer > 0. When append is true, specifies how many + entries in the output vectors are already filled. +
+lrw
The last row to be extracted.
Scope:local
Type:optional
Intent: in.
Specified as: an integer > 0, default: row. +
+ + + +

+

+On Return
+
+nz
the number of elements returned by this call.
Scope:local.
Type:required.
Intent: out.
Returned as: an integer scalar. +
+ia
the row indices.
Scope:local.
Type:required.
Intent: inout.
Specified as: an integer array with the ALLOCATABLE attribute. +
+ja
the column indices of the elements to be inserted.
Scope:local.
Type:required.
Intent: inout.
Specified as: an integer array with the ALLOCATABLE attribute. +
+val
the elements to be inserted.
Scope:local.
Type:required.
Intent: inout.
Specified as: a real array with the ALLOCATABLE attribute. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

Notes +

    +
  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. +
  2. When append=.true. the output arrays are reallocated as necessary; +
    3. +
  3. The row and column indices are returned in the local numbering + scheme; if the global numbering is desired, the user may employ the + psb_loc_to_glob routine on the output.
+ + + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html new file mode 100644 index 00000000..35b7c749 --- /dev/null +++ b/docs/html/userhtmlsu55.html @@ -0,0 +1,113 @@ + + +psb_sizeof — Memory occupation + + + + + + + +

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+

6.26 psb_sizeof — Memory occupation

+

This function computes the memory occupation of a PSBLAS object. + + + +

+isz = psb_sizeof(a) + 
isz = psb_sizeof(desc_a) + 
isz = psb_sizeof(prec) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
A sparse matrix A.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_Tspmat_type. +
+desc_a
Communication descriptor.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+prec
Scope: local
Type: required
Intent: in.
Specified as: a preconditioner data structure psb_prec_type. +
+On Return
+
+Function value
The memory occupation of the object specified in the calling + sequence, in bytes.
Scope: local
Returned as: an integer(psb_long_int_k_) number.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html new file mode 100644 index 00000000..047a538f --- /dev/null +++ b/docs/html/userhtmlsu56.html @@ -0,0 +1,229 @@ + + +Sorting utilities — + + + + + + + +

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+

6.27 Sorting utilities —

+

psb_msort — Sorting by the Merge-sort algorithm +

psb_qsort — Sorting by the Quicksort algorithm +

psb_hsort — Sorting by the Heapsort algorithm + + + +

+call psb_msort(x,ix,dir,flag) + 
call psb_qsort(x,ix,dir,flag) + 
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 task (see Usage Notes below). +

+Type:
Asynchronous. +
+On Entry
+
+x
The sequence to be sorted.
Type:required.
Specified as: an integer, real or complex array of rank 1. +
+ix
A vector of indices.
Type:optional.
Specified as: an integer array of (at least) the same size as X. +
+dir
The desired ordering.
Type:optional.
Specified as: an integer value: +
+ Integer and real data:
psb_sort_up_, psb_sort_down_, + psb_asort_up_, psb_asort_down_; default psb_sort_up_. +
+ Complex data:
psb_lsort_up_, psb_lsort_down_, psb_asort_up_, + psb_asort_down_; default psb_lsort_up_.
+
+flag
Whether to keep the original values in IX.
Type:optional.
Specified as: an integer value psb_sort_ovw_idx_ or psb_sort_keep_idx_; + default psb_sort_ovw_idx_. +
+

+

+On Return
+ + + +
+x
The sequence of values, in the chosen ordering.
Type:required.
Specified as: an integer, real or complex array of rank 1. +
+ix
A vector of indices.
Type: Optional
An integer array of rank 1, whose entries are moved to the same position + as the corresponding entries in x.
+

Notes +

    +
  1. For integer or real data the sorting can be performed in the up/down + direction, on the natural or absolute values; +
    2. +
  2. For complex data the sorting can be done in a lexicographic order (i.e.: + sort on the real part with ties broken according to the imaginary part) or + on the absolute values; +
    3. +
  3. The routines return the items in the chosen ordering; the output difference + is the handling of ties (i.e. items with an equal value) in the original input. + With the merge-sort algorithm ties are preserved in the same relative + order as they had in the original sequence, while this is not guaranteed for + quicksort or heapsort; +
    4. +
  4. If flag = psb_sort_ovw_idx_ then the entries in ix(1 : n) where n is the size + of x are initialized to ix(i) ← i; thus, upon return from the subroutine, + for each index i we have in ix(i) the position that the item x(i) occupied + in the original data sequence; +
    5. +
  5. If flag = psb_sort_keep_idx_ the routine will assume that the entries in + ix(:) have already been initialized by the user; +
    6. +
  6. The three sorting algorithms have a similar O(nlog n) expected running time; + in the average case quicksort will be the fastest and merge-sort the slowest. + However note that: +
      +
    1. The worst case running time for quicksort is O(n2); the algorithm + implemented here follows the well-known median-of-three heuristics, + but the worst case may still apply; +
      2. +
    2. The worst case running time for merge-sort and heap-sort is + O(nlog n) as the average case; + + + +
      3. +
    3. The merge-sort algorithm is implemented to take advantage of + subsequences that may be already in the desired ordering prior to + the subroutine call; this situation is relatively common when dealing + with groups of indices of sparse matrix entries, thus merge-sort is the + preferred choice when a sorting is needed by other routines in the + library.
    +
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu57.html b/docs/html/userhtmlsu57.html new file mode 100644 index 00000000..9b44edbc --- /dev/null +++ b/docs/html/userhtmlsu57.html @@ -0,0 +1,121 @@ + + +psb_init — Initializes PSBLAS parallel environment + + + + + + + +

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+

7.1 psb_init — Initializes PSBLAS parallel environment

+ + + +
+call psb_init(icontxt, np, basectxt, ids) +
+

+

This subroutine initializes the PSBLAS parallel environment, defining a virtual +parallel machine. +

+Type:
Synchronous. +
+On Entry
+
+np
Number of processes in the PSBLAS virtual parallel machine.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value.  Default: use all available processes. +
+basectxt
the initial communication context. The new context will be defined + from the processes participating in the initial one.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value.  Default: use MPI_COMM_WORLD. +
+ids
Identities of the processes to use for the new context; the argument is + ignored when np is not specified. This allows the processes in the new + environment to be in an order different from the original one.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer array.  Default: use the indices (0…np - 1).
+

+

+On Return
+
+icontxt
the communication context identifying the virtual parallel machine. + Note that this is always a duplicate of basectxt, so that library + communications are completely separated from other communication + operations.
Scope: global.
Type: required.
Intent: out.
Specified as: an integer variable.
+ + + +

Notes +

    +
  1. A call to this routine must precede any other PSBLAS call. +
    2. +
  2. It is an error to specify a value for np greater than the number of processes + available in the underlying base parallel environment.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu58.html b/docs/html/userhtmlsu58.html new file mode 100644 index 00000000..2d6a8e06 --- /dev/null +++ b/docs/html/userhtmlsu58.html @@ -0,0 +1,118 @@ + + +psb_info — Return information about PSBLAS parallel environment + + + + + + + +

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+

7.2 psb_info — Return information about PSBLAS parallel environment

+ + + +
+call psb_info(icontxt, iam, np) +
+

+

This subroutine returns information about the PSBLAS parallel environment, +defining a virtual parallel machine. +

+Type:
Asynchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable.
+

+

+On Return
+
+iam
Identifier of current process in the PSBLAS virtual parallel machine.
Scope: local.
Type: required.
Intent: out.
Specified as: an integer value. -1 ≤ iam ≤ np - 1  +
+np
Number of processes in the PSBLAS virtual parallel machine.
Scope: global.
Type: required.
Intent: out.
Specified as: an integer variable.  
+

Notes +

    +
  1. For processes in the virtual parallel machine the identifier will satisfy + 0 ≤ iam ≤ np - 1; +
    2. +
  2. 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.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu59.html b/docs/html/userhtmlsu59.html new file mode 100644 index 00000000..6634744c --- /dev/null +++ b/docs/html/userhtmlsu59.html @@ -0,0 +1,101 @@ + + +psb_exit — Exit from PSBLAS parallel environment + + + + + + + +

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+

7.3 psb_exit — Exit from PSBLAS parallel environment

+ + + +
+call psb_exit(icontxt) + 
call psb_exit(icontxt,close) +
+

+

This subroutine exits from the PSBLAS parallel virtual machine. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+close
Whether to close all data structures related to the virtual parallel + machine, besides those associated with icontxt.
Scope: global.
Type: optional.
Intent: in.
Specified as: a logical variable, default value: true.
+

Notes +

    +
  1. 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. +
    2. +
  2. A call to this routine with close=.true. implies a call to MPI_Finalize, + after which no parallel routine may be called. +
    3. +
  3. If the user whishes to use multiple communication contexts in the + same program, or to enter and exit multiple times into the parallel + environment, this routine may be called to selectively close the contexts + with close=.false., while on the last call it should be called with + close=.true. to shutdown in a clean way the entire parallel environment.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu6.html b/docs/html/userhtmlsu6.html new file mode 100644 index 00000000..18b94c13 --- /dev/null +++ b/docs/html/userhtmlsu6.html @@ -0,0 +1,963 @@ + + +Sparse Matrix class + + + + + + + +

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+

3.2 Sparse Matrix class

+

The psb_Tspmat_type 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 [13] as detailed in [11]; the type declaration is shown in figure 4 where T is a +placeholder for the data type and precision variants +

+S
Single precision real; +
+D
Double precision real; +
+C
Single precision complex; +
+Z
Double precision complex.
+

The actual data is contained in the polymorphic component a%a of type +psb_T_base_sparse_mat; 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 psb_spasb routine.

+
+

+

+  type :: psb_Tspmat_type + 
    class(psb_T_base_sparse_mat), allocatable  :: a + 
  end type  psb_Tspmat_type +
+

+
Figure 4: The PSBLAS defined data type that contains a sparse matrix.
+

+

The following very common formats are precompiled in PSBLAS and thus are +always available: +

+psb_T_coo_sparse_mat
Coordinate storage; +
+psb_T_csr_sparse_mat
Compressed storage by rows; +
+psb_T_csc_sparse_mat
Compressed storage by columns;
+ + + +

The inner sparse matrix has an associated state, which can take the following +values: +

+Build:
State entered after the first allocation, and before the first assembly; in + this state it is possible to add nonzero entries. +
+Assembled:
State entered after the assembly; computations using the sparse + matrix, such as matrix-vector products, are only possible in this state; +
+Update:
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.
+

The only storage variant supporting the build state is COO; all other variants are +obtained by conversion to/from it. +

+

3.2.1 Sparse Matrix Methods
+

+

3.2.2 get_nrows — Get number of rows in a sparse matrix
+ + + +
+nr = a%get_nrows() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
The number of rows of sparse matrix a.
+

+

3.2.3 get_ncols — Get number of columns in a sparse matrix
+ + + +
+nc = a%get_ncols() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
The number of columns of sparse matrix a.
+

+

3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix
+ + + +
+nz = a%get_nnzeros() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
The number of nonzero elements stored in sparse matrix a.
+

Notes +

    +
  1. The function value is specific to the storage format of matrix a; some + storage formats employ padding, thus the returned value for the same + matrix may be different for different storage choices.
+

+

3.2.5 get_size — Get maximum number of nonzero elements in a sparse +matrix
+ + + +
+maxnz = a%get_size() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
The maximum number of nonzero elements that can be stored + in sparse matrix a using its current memory allocation.
+

+

3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix
+ + + +
+memory_size = a%sizeof() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
The memory occupation in bytes.
+

+

3.2.7 get_fmt — Short description of the dynamic type
+ + + +
+write(*,*) a%get_fmt() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
A short string describing the dynamic type of the matrix. + Predefined values include NULL, COO, CSR and CSC.
+

+

3.2.8 is_bld, is_upd, is_asb — Status check
+ + + +
+if (a%is_bld()) then + 
if (a%is_upd()) then + 
if (a%is_asb()) then +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
A logical value indicating whether the matrix is in the Build, + Update or Assembled state, respectively.
+

+

3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check
+ + + +
+if (a%is_triangle()) then + 
if (a%is_upper()) then + 
if (a%is_lower()) then + 
if (a%is_unit()) then +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix
Scope: local
+

+

+On Return
+
+Function value
A logical value indicating whether the matrix is triangular; + if is_triangle() returns .true. check also if it is lower, upper and with + a unit (i.e. assumed) diagonal.
+

+

3.2.10 cscnv — Convert to a different storage format
+ + + +
+call  a%cscnv(b,info [, type, mold, dupl]) + 
call  a%cscnv(info [, type, mold, dupl]) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+
+type
a string requesting a new format.
Type: optional. +
+mold
a variable of class(psb_T_base_sparse_mat) requesting a new format.
Type: optional. +
+dupl
an integer value specifing how to handle duplicates (see Named Constants + below)
+

+

+On Return
+
+b,a
A copy of a with a new storage format.
A variable of type psb_Tspmat_type. +
+info
Return code.
+

The mold arguments may be employed to interface with special devices, such as GPUs +and other accelerators. +

+

3.2.11 csclip — Reduce to a submatrix
+ + + +
+    call a%csclip(b,info[,& + 
       & imin,imax,jmin,jmax,rscale,cscale]) +
+

+

Returns the submatrix A(imin:imax,jmin:jmax), optionally rescaling row/col +indices to the range 1:imax-imin+1,1:jmax-jmin+1. +

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+
+imin,imax,jmin,jmax
Minimum and maximum row and column indices.
Type: optional. +
+rscale,cscale
Whether to rescale row/column indices. Type: optional.
+

+

+On Return
+
+b
A copy of a submatrix of a.
A variable of type psb_Tspmat_type. +
+info
Return code.
+

+

3.2.12 clean_zeros — Eliminate zero coefficients
+ + + +
+    call a%clean_zeros(info) +
+

+

Eliminates zero coefficients in the input matrix. Note that depending on the +internal storage format, there may still be some amount of zero padding in the +output. +

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+

+

+On Return
+
+a
The matrix a without zero coefficients.
A variable of type psb_Tspmat_type. +
+info
Return code.
+

+

3.2.13 get_diag — Get main diagonal
+ + + +
+    call a%get_diag(d,info) +
+

+

Returns a copy of the main diagonal. +

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+

+

+On Return
+
+d
A copy of the main diagonal.
A one-dimensional array of the appropriate type. +
+info
Return code.
+

+

3.2.14 clip_diag — Cut out main diagonal
+ + + +
+    call a%clip_diag(b,info) +
+

+

Returns a copy of a without the main diagonal. +

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+

+

+On Return
+
+b
A copy of a without the main diagonal.
A variable of type psb_Tspmat_type. +
+info
Return code.
+

+

3.2.15 tril — Return the lower triangle
+ + + +
+    call a%tril(l,info[,& + 
       & diag,imin,imax,jmin,jmax,rscale,cscale,u]) +
+

+

Returns the lower triangular part of submatrix A(imin:imax,jmin:jmax), +optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1 and +returing the complementary upper triangle. +

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+
+diag
Include diagonals up to this one; diag=1 means the first superdiagonal, + diag=-1 means the first subdiagonal. Default 0. +
+imin,imax,jmin,jmax
Minimum and maximum row and column indices.
Type: optional. +
+rscale,cscale
Whether to rescale row/column indices. Type: optional.
+

+

+On Return
+
+l
A copy of the lower triangle of a.
A variable of type psb_Tspmat_type. +
+u
(optional) A copy of the upper triangle of a.
A variable of type psb_Tspmat_type. +
+info
Return code.
+

+

3.2.16 triu — Return the upper triangle
+ + + +
+    call a%triu(u,info[,& + 
       & diag,imin,imax,jmin,jmax,rscale,cscale,l]) +
+

+

Returns the upper triangular part of submatrix A(imin:imax,jmin:jmax), +optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1, +and returing the complementary lower triangle. +

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
A variable of type psb_Tspmat_type.
Scope: local.
+
+diag
Include diagonals up to this one; diag=1 means the first superdiagonal, + diag=-1 means the first subdiagonal. Default 0. +
+imin,imax,jmin,jmax
Minimum and maximum row and column indices.
Type: optional. +
+rscale,cscale
Whether to rescale row/column indices. Type: optional.
+

+

+On Return
+
+u
A copy of the upper triangle of a.
A variable of type psb_Tspmat_type. +
+l
(optional) A copy of the lower triangle of a.
A variable of type psb_Tspmat_type. +
+info
Return code.
+

+

3.2.17 psb_set_mat_default — Set default storage format
+ + + +
+call  psb_set_mat_default(a) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
a variable of class(psb_T_base_sparse_mat) requesting a new default + storage format.
Type: required.
+

+

3.2.18 clone — Clone current object
+ + + +
+call  a%clone(b,info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix.
Scope: local.
+

+

+On Return
+
+b
A copy of the input object. +
+info
Return code.
+

+

3.2.19 Named Constants
+

+

+psb_dupl_ovwrt_
Duplicate coefficients should be overwritten (i.e. ignore + duplications) +
+psb_dupl_add_
Duplicate coefficients should be added; +
+psb_dupl_err_
Duplicate coefficients should trigger an error conditino +
+psb_upd_dflt_
Default update strategy for matrix coefficients; +
+psb_upd_srch_
Update strategy based on search into the data structure; +
+psb_upd_perm_
Update strategy based on additional permutation data (see + tools routine description).
+ + + +

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+

+ diff --git a/docs/html/userhtmlsu60.html b/docs/html/userhtmlsu60.html new file mode 100644 index 00000000..fb131e3f --- /dev/null +++ b/docs/html/userhtmlsu60.html @@ -0,0 +1,84 @@ + + +psb_get_mpi_comm — Get the MPI communicator + + + + + + + +

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+

7.4 psb_get_mpi_comm — Get the MPI communicator

+ + + +
+icomm = psb_get_mpi_comm(icontxt) +
+

+

This function returns the MPI communicator associated with a PSBLAS +context +

+Type:
Asynchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable.
+

+

+On Return
+
+Function value
The MPI communicator associated with the PSBLAS virtual + parallel machine.
Scope: global.
Type: required.
Intent: out.
+

Notes The subroutine version psb_get_mpicomm is still available but is +deprecated. + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu61.html b/docs/html/userhtmlsu61.html new file mode 100644 index 00000000..cad2fd88 --- /dev/null +++ b/docs/html/userhtmlsu61.html @@ -0,0 +1,99 @@ + + +psb_get_mpi_rank — Get the MPI rank + + + + + + + +

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+

7.5 psb_get_mpi_rank — Get the MPI rank

+ + + +
+rank = psb_get_mpi_rank(icontxt, id) +
+

+

This function returns the MPI rank of the PSBLAS process id +

+Type:
Asynchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+id
Identifier of a process in the PSBLAS virtual parallel machine.
Scope: local.
Type: required.
Intent: in.
Specified as: an integer value. 0 ≤ id ≤ np - 1 
+

+

+On Return
+
+Funciton value
The MPI rank associated with the PSBLAS process id.
Scope: local.
Type: required.
Intent: out.
+

Notes The subroutine version psb_get_rank is still available but is deprecated. + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu62.html b/docs/html/userhtmlsu62.html new file mode 100644 index 00000000..2786fa5e --- /dev/null +++ b/docs/html/userhtmlsu62.html @@ -0,0 +1,58 @@ + + +psb_wtime — Wall clock timing + + + + + + + +

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+

7.6 psb_wtime — Wall clock timing

+ + + +
+time = psb_wtime() +
+

+

This function returns a wall clock timer. The resolution of the timer is dependent +on the underlying parallel environment implementation. +

+Type:
Asynchronous. +
+On Exit
+
+Function value
the elapsed time in seconds.
Returned as: a real(psb_dpk_) variable.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu63.html b/docs/html/userhtmlsu63.html new file mode 100644 index 00000000..dd7f5c80 --- /dev/null +++ b/docs/html/userhtmlsu63.html @@ -0,0 +1,63 @@ + + +psb_barrier — Sinchronization point parallel environment + + + + + + + +

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+

7.7 psb_barrier — Sinchronization point parallel environment

+ + + +
+call psb_barrier(icontxt) +
+

+

This subroutine acts as an explicit synchronization point for the PSBLAS parallel +virtual machine. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu64.html b/docs/html/userhtmlsu64.html new file mode 100644 index 00000000..a1df06cb --- /dev/null +++ b/docs/html/userhtmlsu64.html @@ -0,0 +1,62 @@ + + +psb_abort — Abort a computation + + + + + + + +

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+

7.8 psb_abort — Abort a computation

+ + + +
+call psb_abort(icontxt) +
+

+

This subroutine aborts computation on the parallel virtual machine. +

+Type:
Asynchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu65.html b/docs/html/userhtmlsu65.html new file mode 100644 index 00000000..8c6cf1df --- /dev/null +++ b/docs/html/userhtmlsu65.html @@ -0,0 +1,110 @@ + + +psb_bcast — Broadcast data + + + + + + + +

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+

7.9 psb_bcast — Broadcast data

+ + + +
+call psb_bcast(icontxt, dat, root) +
+

+

This subroutine implements a broadcast operation based on the underlying +communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
On the root process, the data to be broadcast.
Scope: global.
Type: required.
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 variable, which may be + a scalar or rank 1 array.  Type, kind, rank and size must agree on all + processes. +
+root
Root process holding data to be broadcast.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value 0 <= root <= np - 1, default 0  
+

+

+On Return
+
+dat
On processes other than root, the data to be broadcast.
Scope: global.
Type: required.
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, rank + and size must agree on all processes.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu66.html b/docs/html/userhtmlsu66.html new file mode 100644 index 00000000..8a22d312 --- /dev/null +++ b/docs/html/userhtmlsu66.html @@ -0,0 +1,124 @@ + + +psb_sum — Global sum + + + + + + + +

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+

7.10 psb_sum — Global sum

+ + + +
+call psb_sum(icontxt, dat, root) +
+

+

This subroutine implements a sum reduction operation based on the underlying +communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The local contribution to the global sum.
Scope: global.
Type: required.
Intent: inout.
Specified as: an integer, real or complex variable, which may be a scalar, or + a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes. +
+root
Process to hold the final sum, or -1 to make it available on all processes.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value -1 <= root <= np - 1, default -1.  
+

+

+On Return
+
+dat
On destination process(es), the result of the sum operation.
Scope: global.
Type: required.
Intent: inout.
Specified as: an integer, real or complex variable, which may be a scalar, + or a rank 1 or 2 array.
Type, kind, rank and size must agree on all processes.
+

Notes + + + +

    +
  1. The dat argument is both input and output, and its value may be changed + even on processes different from the final result destination. +
    2. +
  2. The dat argument may also be a long integer scalar.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu67.html b/docs/html/userhtmlsu67.html new file mode 100644 index 00000000..d9951c08 --- /dev/null +++ b/docs/html/userhtmlsu67.html @@ -0,0 +1,125 @@ + + +psb_max — Global maximum + + + + + + + +

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+

7.11 psb_max — Global maximum

+ + + +
+call psb_max(icontxt, dat, root) +
+

+

This subroutine implements a maximum valuereduction operation based on the +underlying communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The local contribution to the global maximum.
Scope: local.
Type: required.
Intent: inout.
Specified as: an integer or real variable, which may be a scalar, or a rank + 1 or 2 array.  Type, kind, rank and size must agree on all processes. +
+root
Process to hold the final maximum, or -1 to make it available on all + processes.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value -1 <= root <= np - 1, default -1.
+

+

+On Return
+
+dat
On destination process(es), the result of the maximum operation.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer or real variable, which may be a scalar, or a rank + 1 or 2 array.  Type, kind, rank and size must agree on all processes.
+

Notes + + + +

    +
  1. The dat argument is both input and output, and its value may be changed + even on processes different from the final result destination. +
    2. +
  2. The dat argument may also be a long integer scalar.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu68.html b/docs/html/userhtmlsu68.html new file mode 100644 index 00000000..d05498b6 --- /dev/null +++ b/docs/html/userhtmlsu68.html @@ -0,0 +1,125 @@ + + +psb_min — Global minimum + + + + + + + +

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+

7.12 psb_min — Global minimum

+ + + +
+call psb_min(icontxt, dat, root) +
+

+

This subroutine implements a minimum value reduction operation based on the +underlying communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The local contribution to the global minimum.
Scope: local.
Type: required.
Intent: inout.
Specified as: an integer or real variable, which may be a scalar, or a rank + 1 or 2 array.  Type, kind, rank and size must agree on all processes. +
+root
Process to hold the final value, or -1 to make it available on all processes.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value -1 <= root <= np - 1, default -1.
+

+

+On Return
+
+dat
On destination process(es), the result of the minimum operation.
Scope: global.
Type: required.
Intent: inout.
Specified as: an integer or real variable, which may be a scalar, or a rank + 1 or 2 array.
Type, kind, rank and size must agree on all processes.
+

Notes + + + +

    +
  1. The dat argument is both input and output, and its value may be changed + even on processes different from the final result destination. +
    2. +
  2. The dat argument may also be a long integer scalar.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu69.html b/docs/html/userhtmlsu69.html new file mode 100644 index 00000000..5c330ac6 --- /dev/null +++ b/docs/html/userhtmlsu69.html @@ -0,0 +1,124 @@ + + +psb_amx — Global maximum absolute value + + + + + + + +

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+

7.13 psb_amx — Global maximum absolute value

+ + + +
+call psb_amx(icontxt, dat, root) +
+

+

This subroutine implements a maximum absolute value reduction operation based +on the underlying communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The local contribution to the global maximum.
Scope: local.
Type: required.
Intent: inout.
Specified as: an integer, real or complex variable, which may be a scalar, or + a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes. +
+root
Process to hold the final value, or -1 to make it available on all processes.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value -1 <= root <= np - 1, default -1.
+

+

+On Return
+
+dat
On destination process(es), the result of the maximum operation.
Scope: global.
Type: required.
Intent: inout.
Specified as: an integer, real or complex variable, which may be a scalar, or + a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.
+

Notes + + + +

    +
  1. The dat argument is both input and output, and its value may be changed + even on processes different from the final result destination. +
    2. +
  2. The dat argument may also be a long integer scalar.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu7.html b/docs/html/userhtmlsu7.html new file mode 100644 index 00000000..87e649d8 --- /dev/null +++ b/docs/html/userhtmlsu7.html @@ -0,0 +1,352 @@ + + +Dense Vector Data Structure + + + + + + + +

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+

3.3 Dense Vector Data Structure

+

The psb_T_vect_type data structure encapsulates the dense vectors in a way similar +to sparse matrices, i.e. including a base type psb_T_base_vect_type. The user will +not, in general, access the vector components directly, but rather via the routines of +sec. 6. Among other simple things, we define here an extraction method that +can be used to get a full copy of the part of the vector stored on the local +process. +

The type declaration is shown in figure 5 where T is a placeholder for the data +type and precision variants +

+I
Integer; +
+S
Single precision real; +
+D
Double precision real; +
+C
Single precision complex; +
+Z
Double precision complex.
+

The actual data is contained in the polymorphic component v%v; the separation between +the application and the actual data is essential for cases where it is necessary to link +to data storage made available elsewhere outside the direct control of the +compiler/application, e.g. data stored in a graphics accelerator’s private memory. +

+
+

+

+  type psb_T_base_vect_type + 
    TYPE(KIND_), allocatable :: v(:) + 
  end type psb_T_base_vect_type + 
+ 
  type psb_T_vect_type + 
    class(psb_T_base_vect_type), allocatable :: v + 
  end type  psb_T_vect_type + 
+
+

+ + + +
Figure 5: The PSBLAS defined data type that contains a dense vector.
+

+

+

3.3.1 Vector Methods
+

+

3.3.2 get_nrows — Get number of rows in a dense vector
+ + + +
+nr = v%get_nrows() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+v
the dense vector
Scope: local
+

+

+On Return
+
+Function value
The number of rows of dense vector v.
+

+

3.3.3 sizeof — Get memory occupation in bytes of a dense vector
+ + + +
+memory_size = v%sizeof() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+v
the dense vector
Scope: local
+

+

+On Return
+
+Function value
The memory occupation in bytes.
+

+

3.3.4 set — Set contents of the vector
+ + + +
+ call  v%set(alpha[,first,last]) + 
 call  v%set(vect[,first,last]) + 
 call  v%zero() +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+v
the dense vector
Scope: local
+
+alpha
A scalar value.
Scope: local
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +
+first,last
Boundaries for setting in the vector.
Scope: local
Type: optional
Intent: in.
Specified as: integers. +
+vect
An array
Scope: local
Type: required
Intent: in.
Specified as: a number of the data type indicated in Table 1.
+

Note that a call to v%zero() is provided as a shorthand, but is equivalent to a call +to v%set(zero) with the zero constant having the appropriate type and +kind. +

+

+On Return
+
+v
the dense vector, with updated entries
Scope: local
+ + + +

+

3.3.5 get_vect — Get a copy of the vector contents
+ + + +
+extv = v%get_vect([n]) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+v
the dense vector
Scope: local
+
+n
Size to be returned
Scope: local.
Type: optional; default: entire vector.
+
+

+

+On Return
+
+Function value
An allocatable array holding a copy of the dense vector + contents. If the argument n is specified, the size of the returned array + equals the minimum between n and the internal size of the vector, or 0 if + n is negative; otherwise, the size of the array is the same as the internal + size of the vector.
+

+

3.3.6 clone — Clone current object
+ + + +
+call  x%clone(y,info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+x
the dense vector.
Scope: local.
+

+

+On Return
+
+y
A copy of the input object. +
+info
Return code.
+ + + +

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+

+ diff --git a/docs/html/userhtmlsu70.html b/docs/html/userhtmlsu70.html new file mode 100644 index 00000000..4a8fda93 --- /dev/null +++ b/docs/html/userhtmlsu70.html @@ -0,0 +1,125 @@ + + +psb_amn — Global minimum absolute value + + + + + + + +

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+

7.14 psb_amn — Global minimum absolute value

+ + + +
+call psb_amn(icontxt, dat, root) +
+

+

This subroutine implements a minimum absolute value reduction operation based +on the underlying communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The local contribution to the global minimum.
Scope: local.
Type: required.
Intent: inout.
Specified as: an integer, real or complex variable, which may be a scalar, or + a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes. +
+root
Process to hold the final value, or -1 to make it available on all processes.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value -1 <= root <= np - 1, default -1.
+

+

+On Return
+
+dat
On destination process(es), the result of the minimum operation.
Scope: global.
Type: required.
Intent: inout.
Specified as: an integer, real or complex variable, which may be a scalar, + or a rank 1 or 2 array.
Type, kind, rank and size must agree on all processes.
+

Notes + + + +

    +
  1. The dat argument is both input and output, and its value may be changed + even on processes different from the final result destination. +
    2. +
  2. The dat argument may also be a long integer scalar.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu71.html b/docs/html/userhtmlsu71.html new file mode 100644 index 00000000..11cd03ac --- /dev/null +++ b/docs/html/userhtmlsu71.html @@ -0,0 +1,141 @@ + + +psb_nrm2 — Global 2-norm reduction + + + + + + + +

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+

7.15 psb_nrm2 — Global 2-norm reduction

+ + + +
+call psb_nrm2(icontxt, dat, root) +
+

+

This subroutine implements a 2-norm value reduction operation based on the +underlying communication library. +

+Type:
Synchronous. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The local contribution to the global minimum.
Scope: local.
Type: required.
Intent: inout.
Specified as: a real variable, which may be a scalar, or a rank 1 array. +  Kind, rank and size must agree on all processes. +
+root
Process to hold the final value, or -1 to make it available on all processes.
Scope: global.
Type: optional.
Intent: in.
Specified as: an integer value -1 <= root <= np - 1, default -1.
+

+

+On Return
+
+dat
On destination process(es), the result of the 2-norm reduction.
Scope: global.
Type: required.
Intent: inout.
Specified as: a real variable, which may be a scalar, or a rank 1 array.
Kind, rank and size must agree on all processes.
+

Notes + + + +

    +
  1. This reduction is appropriate to compute the results of multiple (local) + NRM2 operations at the same time. +
    2. +
  2. Denoting by dati the value of the variable dat on process i, the output res + is equivalent to the computation of +
    + ∘ ------- + ∑ 2 +res = dati, + i +
    +

    with care taken to avoid unnecessary overflow. +

    3. +
  3. The dat argument is both input and output, and its value may be changed + even on processes different from the final result destination.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu72.html b/docs/html/userhtmlsu72.html new file mode 100644 index 00000000..c4e31009 --- /dev/null +++ b/docs/html/userhtmlsu72.html @@ -0,0 +1,129 @@ + + +psb_snd — Send data + + + + + + + +

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+

7.16 psb_snd — Send data

+ + + +
+call psb_snd(icontxt, dat, dst, m) +
+

+

This subroutine sends a packet of data to a destination. +

+Type:
Synchronous: see usage notes. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+dat
The data to be sent.
Scope: local.
Type: required.
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. +
+dst
Destination process.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer value 0 <= dst <= np - 1.
+
+m
Number of rows.
Scope: global.
Type: Optional.
Intent: in.
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.
+

+

+On Return
+ + + +

Notes +

    +
  1. This subroutine implies a synchronization, but only between the calling + process and the destination process dst.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu73.html b/docs/html/userhtmlsu73.html new file mode 100644 index 00000000..58de2fb4 --- /dev/null +++ b/docs/html/userhtmlsu73.html @@ -0,0 +1,124 @@ + + +psb_rcv — Receive data + + + + + + + +

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+

7.17 psb_rcv — Receive data

+ + + +
+call psb_rcv(icontxt, dat, src, m) +
+

+

This subroutine receives a packet of data to a destination. +

+Type:
Synchronous: see usage notes. +
+On Entry
+
+icontxt
the communication context identifying the virtual parallel machine.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer variable. +
+src
Source process.
Scope: global.
Type: required.
Intent: in.
Specified as: an integer value 0 <= src <= np - 1.
+
+m
Number of rows.
Scope: global.
Type: Optional.
Intent: in.
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.
+

+

+On Return
+
+dat
The data to be received.
Scope: local.
Type: required.
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.
+ + + +

Notes +

    +
  1. This subroutine implies a synchronization, but only between the calling + process and the source process src.
+ + + +

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+

+ diff --git a/docs/html/userhtmlsu74.html b/docs/html/userhtmlsu74.html new file mode 100644 index 00000000..97ce49ad --- /dev/null +++ b/docs/html/userhtmlsu74.html @@ -0,0 +1,97 @@ + + +psb_errpush + + + + + + + +

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+

8.1 psb_errpush

+

Pushes an error code onto the error stack + +

call psb_errpush(err_c, r_name, i_err, a_err) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+err_c
the error code
Scope: local
Type: required
Intent: in.
Specified as: an integer. +
+r_name
the soutine where the error has been caught.
Scope: local
Type: required
Intent: in.
Specified as: a string.
+
+i_err
addional info for error code
Scope: local
Type: optional
Specified as: an integer array
+
+a_err
addional info for error code
Scope: local
Type: optional
Specified as: a string.
+ + + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu75.html b/docs/html/userhtmlsu75.html new file mode 100644 index 00000000..ef69584e --- /dev/null +++ b/docs/html/userhtmlsu75.html @@ -0,0 +1,62 @@ + + +psb_error + + + + + + + +

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+

8.2 psb_error

+

Prints the error stack content and aborts execution + +

call psb_error(icontxt) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+icontxt
the communication context.
Scope: global
Type: optional
Intent: in.
Specified as: an integer.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu76.html b/docs/html/userhtmlsu76.html new file mode 100644 index 00000000..4300ad8f --- /dev/null +++ b/docs/html/userhtmlsu76.html @@ -0,0 +1,62 @@ + + +psb_set_errverbosity + + + + + + + +

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+

8.3 psb_set_errverbosity

+

Sets the verbosity of error messages + +

call psb_set_errverbosity(v) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+v
the verbosity level
Scope: global
Type: required
Intent: in.
Specified as: an integer.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu77.html b/docs/html/userhtmlsu77.html new file mode 100644 index 00000000..312f8ad0 --- /dev/null +++ b/docs/html/userhtmlsu77.html @@ -0,0 +1,63 @@ + + +psb_set_erraction + + + + + + + +

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+

8.4 psb_set_erraction

+

Set the type of action to be taken upon error condition + +

call psb_set_erraction(err_act) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+err_act
the type of action.
Scope: global
Type: required
Intent: in.
Specified as: an integer. Possible values: psb_act_ret, psb_act_abort.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu78.html b/docs/html/userhtmlsu78.html new file mode 100644 index 00000000..d7e6fd9f --- /dev/null +++ b/docs/html/userhtmlsu78.html @@ -0,0 +1,110 @@ + + + hb_read — Read a sparse matrix from a file in the Harwell–Boeing +format + + + + + + + +

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+

9.1 hb_read — Read a sparse matrix from a file in the Harwell–Boeing +format

+ +
call hb_read(a, iret, iunit, filename, b, mtitle) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+filename
The name of the file to be read.
Type:optional.
Specified as: a character variable containing a valid file name, or -, in + which case the default input unit 5 (i.e. standard input in Unix jargon) is + used. Default: -. +
+iunit
The Fortran file unit number.
Type:optional.
Specified as: an integer value. Only meaningful if filename is not -.
+

+

+On Return
+
+a
the sparse matrix read from file.
Type:required.
Specified as: a structured data of type psb_Tspmat_type. + + + +
+b
Rigth hand side(s).
Type: Optional
An array of type real or complex, rank 2 and having the ALLOCATABLE + attribute; will be allocated and filled in if the input file contains a right + hand side, otherwise will be left in the UNALLOCATED state. +
+mtitle
Matrix title.
Type: Optional
A charachter variable of length 72 holding a copy of the matrix title as + specified by the Harwell-Boeing format and contained in the input file. +
+iret
Error code.
Type: required
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu79.html b/docs/html/userhtmlsu79.html new file mode 100644 index 00000000..47418d21 --- /dev/null +++ b/docs/html/userhtmlsu79.html @@ -0,0 +1,121 @@ + + +hb_write — Write a sparse matrix to a file in the Harwell–Boeing format + + + + + + + +

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+

9.2 hb_write — Write a sparse matrix to a file in the Harwell–Boeing +format

+ +
call hb_write(a, iret, iunit, filename, key, rhs, mtitle) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix to be written.
Type:required.
Specified as: a structured data of type psb_Tspmat_type. +
+b
Rigth hand side.
Type: Optional
An array of type real or complex, rank 1 and having the ALLOCATABLE + attribute; will be allocated and filled in if the input file contains a right + hand side. +
+filename
The name of the file to be written to.
Type:optional.
Specified as: a character variable containing a valid file name, or -, in + which case the default output unit 6 (i.e. standard output in Unix jargon) + is used. Default: -. +
+iunit
The Fortran file unit number.
Type:optional.
Specified as: an integer value. Only meaningful if filename is not -. +
+key
Matrix key.
Type: Optional
A charachter variable of length 8 holding the matrix key as specified by + the Harwell-Boeing format and to be written to file. + + + +
+mtitle
Matrix title.
Type: Optional
A charachter variable of length 72 holding the matrix title as specified by + the Harwell-Boeing format and to be written to file.
+

+

+On Return
+
+iret
Error code.
Type: required
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu8.html b/docs/html/userhtmlsu8.html new file mode 100644 index 00000000..5c0ff71c --- /dev/null +++ b/docs/html/userhtmlsu8.html @@ -0,0 +1,71 @@ + + +Preconditioner data structure + + + + + + + +

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+

3.4 Preconditioner data structure

+

Our base library offers support for simple well known preconditioners like Diagonal +Scaling or Block Jacobi with incomplete factorization ILU(0). +

A preconditioner is held in the psb_prec_type data structure reported in +figure 6. The psb_prec_type data type may contain a simple preconditioning matrix +with the associated communication descriptor.The internal preconditioner is +allocated appropriately with the dynamic type corresponding to the desired +preconditioner.

+ + + + + + + +
+

+

+ 
  type psb_Tprec_type + 
    class(psb_T_base_prec_type), allocatable :: prec + 
  end type psb_Tprec_type + 
+
+

+
Figure 6: The PSBLAS defined data type that contains a preconditioner.
+ + + +

+ + + +

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+

+ diff --git a/docs/html/userhtmlsu80.html b/docs/html/userhtmlsu80.html new file mode 100644 index 00000000..ee9c2c16 --- /dev/null +++ b/docs/html/userhtmlsu80.html @@ -0,0 +1,94 @@ + + +mm_mat_read — Read a sparse matrix from a file in the MatrixMarket +format + + + + + + + +

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+

9.3 mm_mat_read — Read a sparse matrix from a file in the MatrixMarket +format

+ +
call mm_mat_read(a, iret, iunit, filename) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+filename
The name of the file to be read.
Type:optional.
Specified as: a character variable containing a valid file name, or -, in + which case the default input unit 5 (i.e. standard input in Unix jargon) is + used. Default: -. +
+iunit
The Fortran file unit number.
Type:optional.
Specified as: an integer value. Only meaningful if filename is not -.
+

+

+On Return
+
+a
the sparse matrix read from file.
Type:required.
Specified as: a structured data of type psb_Tspmat_type. +
+iret
Error code.
Type: required
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu81.html b/docs/html/userhtmlsu81.html new file mode 100644 index 00000000..7bcaa337 --- /dev/null +++ b/docs/html/userhtmlsu81.html @@ -0,0 +1,93 @@ + + +mm_array_read — Read a dense array from a file in the MatrixMarket +format + + + + + + + +

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+

9.4 mm_array_read — Read a dense array from a file in the MatrixMarket +format

+ +
call mm_array_read(b, iret, iunit, filename) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+filename
The name of the file to be read.
Type:optional.
Specified as: a character variable containing a valid file name, or -, in + which case the default input unit 5 (i.e. standard input in Unix jargon) is + used. Default: -. +
+iunit
The Fortran file unit number.
Type:optional.
Specified as: an integer value. Only meaningful if filename is not -.
+

+

+On Return
+
+b
Rigth hand side(s).
Type: required
An array of type real or complex, rank 1 or 2 and having the + ALLOCATABLE attribute; will be allocated and filled in if the input file + contains a right hand side, otherwise will be left in the UNALLOCATED + state. +
+iret
Error code.
Type: required
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu82.html b/docs/html/userhtmlsu82.html new file mode 100644 index 00000000..eb9a66d0 --- /dev/null +++ b/docs/html/userhtmlsu82.html @@ -0,0 +1,105 @@ + + +mm_mat_write — Write a sparse matrix to a file in the MatrixMarket +format + + + + + + + +

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+

9.5 mm_mat_write — Write a sparse matrix to a file in the MatrixMarket +format

+ +
call mm_mat_write(a, mtitle, iret, iunit, filename) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+a
the sparse matrix to be written.
Type:required.
Specified as: a structured data of type psb_Tspmat_type. +
+mtitle
Matrix title.
Type: required
A charachter variable holding a descriptive title for the matrix to be + written to file. +
+filename
The name of the file to be written to.
Type:optional.
Specified as: a character variable containing a valid file name, or -, in + which case the default output unit 6 (i.e. standard output in Unix jargon) + is used. Default: -. +
+iunit
The Fortran file unit number.
Type:optional.
Specified as: an integer value. Only meaningful if filename is not -.
+

+

+On Return
+
+iret
Error code.
Type: required
An integer value; 0 means no error has been detected.
+ + + + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu83.html b/docs/html/userhtmlsu83.html new file mode 100644 index 00000000..68d93ce9 --- /dev/null +++ b/docs/html/userhtmlsu83.html @@ -0,0 +1,88 @@ + + +mm_array_write — Write a dense array from a file in the MatrixMarket +format + + + + + + + +

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+

9.6 mm_array_write — Write a dense array from a file in the MatrixMarket +format

+ +
call mm_array_write(b, iret, iunit, filename) + +
+

+

+Type:
Asynchronous. +
+On Entry
+
+b
Rigth hand side(s).
Type: required
An array of type real or complex, rank 1 or 2; will be written..  +
+filename
The name of the file to be written.
Type:optional.
Specified as: a character variable containing a valid file name, or -, in + which case the default input unit 5 (i.e. standard input in Unix jargon) is + used. Default: -. +
+iunit
The Fortran file unit number.
Type:optional.
Specified as: an integer value. Only meaningful if filename is not -.
+

+

+On Return
+
+iret
Error code.
Type: required
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu84.html b/docs/html/userhtmlsu84.html new file mode 100644 index 00000000..627c4fd6 --- /dev/null +++ b/docs/html/userhtmlsu84.html @@ -0,0 +1,125 @@ + + +init — Initialize a preconditioner + + + + + + + +

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+

10.1 init — Initialize a preconditioner

+ + + +
+call prec%init(icontxt,ptype, info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+icontxt
the communication context.
Scope:global.
Type:required.
Intent: in.
Specified as: an integer value. +
+ptype
the type of preconditioner. Scope: global
Type: required
Intent: in.
Specified as: a character string, see usage notes. +
+On Exit
+
+prec
Scope: local
Type: required
Intent: inout.
Specified as: a preconditioner data structure psb_prec_type. +
+info
Scope: global
Type: required
Intent: out.
Error code: if no error, 0 is returned.
+

Notes Legal inputs to this subroutine are interpreted depending on the ptype string as +follows4 : +

+NONE
No preconditioning, i.e. the preconditioner is just a copy operator. +
+DIAG
Diagonal scaling; each entry of the input vector is multiplied by the + reciprocal of the sum of the absolute values of the coefficients in the + corresponding row of matrix A; + + + +
+BJAC
Precondition by a factorization of the block-diagonal of matrix A, + where block boundaries are determined by the data allocation boundaries + for each process; requires no communication. Only the incomplete + factorization ILU(0) is currently implemented.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu85.html b/docs/html/userhtmlsu85.html new file mode 100644 index 00000000..a8b076fd --- /dev/null +++ b/docs/html/userhtmlsu85.html @@ -0,0 +1,186 @@ + + +build — Builds a preconditioner + + + + + + + +

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+

10.2 build — Builds a preconditioner

+ + + +
+call prec%build(a, desc_a, info[,amold,vmold,imold]) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+a
the system sparse matrix. Scope: local
Type: required
Intent: in, target.
Specified as: a sparse matrix data structure psb_Tspmat_type. +
+prec
the preconditioner.
Scope: local
Type: required
Intent: inout.
Specified as: an already initialized precondtioner data structure + psb_prec_type
+
+desc_a
the problem communication descriptor. Scope: local
Type: required
Intent: in, target.
Specified as: a communication descriptor data structure psb_desc_type. +
+amold
The desired dynamic type for the internal matrix storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: an object of a class derived from psb_T_base_sparse_mat. +
+vmold
The desired dynamic type for the internal vector storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: an object of a class derived from psb_T_base_vect_type. +
+imold
The desired dynamic type for the internal integer vector storage.
Scope: local.
Type: optional.
Intent: in.
Specified as: an object of a class derived from (integer) + psb_T_base_vect_type.
+

+

+On Return
+
+prec
the preconditioner.
Scope: local
Type: required
Intent: inout.
Specified as: a precondtioner data structure psb_prec_type
+
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+

The amold, vmold and imold arguments may be employed to interface with special +devices, such as GPUs and other accelerators. + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu86.html b/docs/html/userhtmlsu86.html new file mode 100644 index 00000000..49e92286 --- /dev/null +++ b/docs/html/userhtmlsu86.html @@ -0,0 +1,149 @@ + + +apply — Preconditioner application routine + + + + + + + +

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+

10.3 apply — Preconditioner application routine

+ + + +
+call prec%apply(x,y,desc_a,info,trans,work) + 
call prec%apply(x,desc_a,info,trans) +
+

+

+

+Type:
Synchronous. +
+On Entry
+
+prec
the preconditioner. Scope: local
Type: required
Intent: in.
Specified as: a preconditioner data structure psb_prec_type. +
+x
the source vector. Scope: local
Type: required
Intent: inout.
Specified as: a rank one array or an object of type psb_T_vect_type. +
+desc_a
the problem communication descriptor. Scope: local
Type: required
Intent: in.
Specified as: a communication data structure psb_desc_type. +
+trans
Scope:
Type: optional
Intent: in.
Specified as: a character. +
+work
an optional work space Scope: local
Type: optional
Intent: inout.
Specified as: a double precision array.
+

+

+On Return
+
+y
the destination vector. Scope: local
Type: required
Intent: inout.
Specified as: a rank one array or an object of type psb_T_vect_type. + + + +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu87.html b/docs/html/userhtmlsu87.html new file mode 100644 index 00000000..25207037 --- /dev/null +++ b/docs/html/userhtmlsu87.html @@ -0,0 +1,91 @@ + + +descr — Prints a description of current preconditioner + + + + + + + +

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+

10.4 descr — Prints a description of current preconditioner

+ + + +
+call prec%descr() + 
call prec%descr(iout, root) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+prec
the preconditioner. Scope: local
Type: required
Intent: in.
Specified as: a preconditioner data structure psb_prec_type. +
+iout
output unit. Scope: local
Type: optional
Intent: in.
Specified as: an integer number. Default: default output unit. +
+root
Process from which to print Scope: local
Type: optional
Intent: in.
Specified as: an integer number between 0 and np - 1, in which case + the specified process will print the description, or -1, in which case all + processes will print. Default: 0.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu88.html b/docs/html/userhtmlsu88.html new file mode 100644 index 00000000..1478c831 --- /dev/null +++ b/docs/html/userhtmlsu88.html @@ -0,0 +1,69 @@ + + +clone — clone current preconditioner + + + + + + + +

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+

10.5 clone — clone current preconditioner

+ + + +
+call  prec%clone(precout,info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+prec
the preconditioner.
Scope: local.
+

+

+On Return
+
+precout
A copy of the input object. +
+info
Return code.
+ + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu89.html b/docs/html/userhtmlsu89.html new file mode 100644 index 00000000..7d0b20b2 --- /dev/null +++ b/docs/html/userhtmlsu89.html @@ -0,0 +1,94 @@ + + +free — Free a preconditioner + + + + + + + +

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+

10.6 free — Free a preconditioner

+ + + +
+call prec%free(info) +
+

+

+

+Type:
Asynchronous. +
+On Entry
+
+prec
the preconditioner.
Scope: local.
Type: required
Intent: inout.
Specified as: a preconditioner data structure psb_prec_type. +
+On Exit
+
+prec
Scope: local
Type: required
Intent: inout.
Specified as: a preconditioner data structure psb_prec_type. +
+info
Scope: global
Type: required
Intent: out.
Error code: if no error, 0 is returned.
+

Notes Releases all internal storage. + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu9.html b/docs/html/userhtmlsu9.html new file mode 100644 index 00000000..e78edec3 --- /dev/null +++ b/docs/html/userhtmlsu9.html @@ -0,0 +1,79 @@ + + +Heap data structure + + + + + + + +

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+

3.5 Heap data structure

+

Among the tools routines of sec. 6, we have a number of sorting utilities; the heap +sort is implemented in terms of heaps having the following signatures: +

+psb_T_heap
: a heap containing elements of type T, where T can be i,s,c,d,z + for integer, real and complex data; +
+psb_T_idx_heap
: a heap containing elements of type T, as above, together + with an integer index.
+

Given a heap object, the following methods are defined on it: +

+init
Initialize memory; also choose ascending or descending order; +
+howmany
Current heap occupancy; +
+insert
Add an item (or an item and its index); +
+get_first
Remove and return the first element; +
+dump
Print on file; +
+free
Release memory.
+

These objects are used in MLD2P4 to implement the factorization algorithms. + + + + + + +

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+

+ diff --git a/docs/html/userhtmlsu90.html b/docs/html/userhtmlsu90.html new file mode 100644 index 00000000..751fcd56 --- /dev/null +++ b/docs/html/userhtmlsu90.html @@ -0,0 +1,357 @@ + + +psb_krylov — Krylov Methods Driver Routine + + + + + + + +

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+

11.1 psb_krylov — Krylov Methods Driver Routine

+

This subroutine is a driver that provides a general interface for all the Krylov-Subspace +family methods implemented in PSBLAS version 2. +

The stopping criterion can take the following values: +

+1
normwise backward error in the infinity norm; the iteration is stopped when +
+ err = -----∥ri∥------< eps + (∥A ∥∥xi∥ + ∥b∥) +
+

+

+2
Relative residual in the 2-norm; the iteration is stopped when +
+ err = ∥ri∥-< eps + ∥b∥2 +
+

+

+3
Relative residual reduction in the 2-norm; the iteration is stopped when +
+ err = -∥ri∥-< eps + ∥r0∥2 +
+

+

The behaviour is controlled by the istop argument (see later). In the above formulae, xi +is the tentative solution and ri = b - Axi the corresponding residual at the i-th +iteration. + +

call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& 
     & itmax,iter,err,itrace,irst,istop,cond) + +
+

+ + + +

+Type:
Synchronous. +
+On Entry
+
+method
a string that defines the iterative method to be used. Supported values + are: +
+ CG:
the Conjugate Gradient method; +
+ CGS:
the Conjugate Gradient Stabilized method; +
+ GCR:
the Generalized Conjugate Residual method; +
+ FCG:
the Flexible Conjugate Gradient method5 ; +
+ BICG:
the Bi-Conjugate Gradient method; +
+ BICGSTAB:
the Bi-Conjugate Gradient Stabilized method; +
+ BICGSTABL:
the Bi-Conjugate Gradient Stabilized method with + restarting; +
+ RGMRES:
the Generalized Minimal Residual method with restarting.
+
+a
the local portion of global sparse matrix A.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_Tspmat_type. +
+prec
The data structure containing the preconditioner.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_prec_type. +
+b
The RHS vector.
Scope: local
Type: required
Intent: in.
Specified as: a rank one array or an object of type psb_T_vect_type. + + + +
+x
The initial guess.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one array or an object of type psb_T_vect_type. +
+eps
The stopping tolerance.
Scope: global
Type: required
Intent: in.
Specified as: a real number. +
+desc_a
contains data structures for communications.
Scope: local
Type: required
Intent: in.
Specified as: a structured data of type psb_desc_type. +
+itmax
The maximum number of iterations to perform.
Scope: global
Type: optional
Intent: in.
Default: itmax = 1000.
Specified as: an integer variable itmax ≥ 1. +
+itrace
If > 0 print out an informational message about convergence every itrace + iterations. If = 0 print a message in case of convergence failure.
Scope: global
Type: optional
Intent: in.
Default: itrace = -1.
+
+irst
An integer specifying the restart parameter.
Scope: global
Type: optional.
Intent: in.
Values: irst > 0. This is employed for the BiCGSTABL or RGMRES methods, + otherwise it is ignored. +
+istop
An integer specifying the stopping criterion.
Scope: global
Type: optional.
Intent: in.
Values: 1: use the normwise backward error, 2: use the scaled 2-norm + + + + of the residual, 3: use the residual reduction in the 2-norm. Default: + 2. +
+On Return
+
+x
The computed solution.
Scope: local
Type: required
Intent: inout.
Specified as: a rank one array or an object of type psb_T_vect_type. +
+iter
The number of iterations performed.
Scope: global
Type: optional
Intent: out.
Returned as: an integer variable. +
+err
The convergence estimate on exit.
Scope: global
Type: optional
Intent: out.
Returned as: a real number. +
+cond
An estimate of the condition number of matrix A; only available with the CG + method on real data.
Scope: global
Type: optional
Intent: out.
Returned as: a real number. A correct result will be greater than or + equal to one; if specified for non-real data, or an error occurred, zero is + returned. +
+info
Error code.
Scope: local
Type: required
Intent: out.
An integer value; 0 means no error has been detected.
+ + + + + + +

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+

+ diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf index 9e133b9f..36a7478c 100644 --- a/docs/psblas-3.7.pdf +++ b/docs/psblas-3.7.pdf @@ -4,20 +4,20 @@ << /Type /ObjStm /N 100 -/First 818 -/Length 4688 +/First 819 +/Length 6377 >> stream 1 0 5 38 6 77 9 117 10 144 13 185 14 217 17 263 18 299 21 345 22 379 25 425 26 464 29 515 30 562 33 608 34 643 37 684 38 727 41 773 -42 816 45 867 46 905 49 947 50 981 53 1023 54 1057 57 1099 58 1134 61 1176 -62 1211 65 1253 66 1291 69 1333 70 1361 73 1403 74 1422 77 1464 78 1481 81 1524 -82 1576 85 1619 86 1671 89 1714 90 1747 93 1790 94 1823 97 1866 98 1892 101 1943 -102 1979 105 2026 106 2064 109 2116 110 2158 113 2202 114 2229 117 2273 118 2300 121 2344 -122 2373 125 2417 126 2444 129 2488 130 2510 133 2554 134 2580 137 2624 138 2671 141 2715 -142 2782 145 2826 146 2846 149 2890 150 2911 153 2955 154 2984 157 3028 158 3054 161 3098 -162 3125 165 3169 166 3188 169 3232 170 3251 173 3295 174 3338 177 3382 178 3402 181 3454 -182 3490 185 3537 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[(3.1)-1022(Descriptor)-334(data)-333(structure)]TJ +/F8 9.9626 Tf 14.944 -12.091 Td [(3.1)-1022(Descriptor)-334(data)-333(structure)]TJ 0 g 0 G [-886(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1584(9)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 22.914 -12.08 Td [(3.1.1)-1144(Des)-1(crip)1(tor)-334(Metho)-28(ds)]TJ + 22.914 -12.091 Td [(3.1.1)-1144(Des)-1(crip)1(tor)-334(Metho)-28(ds)]TJ 0 g 0 G [-913(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1083(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 31.881 -12.08 Td [(get)]TJ + 0 -12.091 Td [(3.1.2)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 543.314 cm +1 0 0 1 183.515 543.167 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 543.115 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 186.504 542.968 Td [(lo)-28(cal)]TJ ET q -1 0 0 1 207.304 543.314 cm +1 0 0 1 207.304 543.167 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 210.293 543.115 Td [(ro)28(ws)]TJ +/F8 9.9626 Tf 210.293 542.968 Td [(ro)28(ws)-334(|)-333(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(lo)-28(cal)-333(ro)28(ws)]TJ 0 g 0 G - [-411(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-893(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -40.659 -12.08 Td [(get)]TJ + -72.54 -12.091 Td [(3.1.3)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 531.235 cm +1 0 0 1 183.515 531.076 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 531.035 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 186.504 530.877 Td [(lo)-28(cal)]TJ ET q -1 0 0 1 207.304 531.235 cm +1 0 0 1 207.304 531.076 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 210.293 531.035 Td [(cols)]TJ +/F8 9.9626 Tf 210.293 530.877 Td [(cols)-333(|)-334(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(lo)-28(cal)-333(cols)]TJ 0 g 0 G - [-774(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-842(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(12)]TJ + [-1084(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -40.659 -12.079 Td [(get)]TJ + -72.54 -12.091 Td [(3.1.4)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 519.155 cm +1 0 0 1 183.515 518.985 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 518.956 Td [(global)]TJ +/F8 9.9626 Tf 186.504 518.786 Td [(global)]TJ ET q -1 0 0 1 213.115 519.155 cm +1 0 0 1 213.115 518.985 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 216.104 518.956 Td [(ro)28(ws)]TJ +/F8 9.9626 Tf 216.104 518.786 Td [(ro)28(ws)-334(|)-333(Get)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(global)-333(ro)27(ws)]TJ 0 g 0 G - [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-503(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(12)]TJ + [-1083(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -46.47 -12.08 Td [(get)]TJ + -78.351 -12.091 Td [(3.1.5)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 507.075 cm +1 0 0 1 183.515 506.894 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 506.876 Td [(global)]TJ +/F8 9.9626 Tf 186.504 506.695 Td [(global)]TJ ET q -1 0 0 1 213.115 507.075 cm +1 0 0 1 213.115 506.894 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 216.104 506.876 Td [(cols)]TJ +/F8 9.9626 Tf 216.104 506.695 Td [(cols)-333(|)-334(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(global)-333(cols)]TJ 0 g 0 G - [-969(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-453(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -46.47 -12.08 Td [(get)]TJ + -78.351 -12.091 Td [(3.1.6)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 494.996 cm +1 0 0 1 183.515 494.803 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 494.796 Td [(global)]TJ +/F8 9.9626 Tf 186.504 494.604 Td [(global)]TJ ET q -1 0 0 1 213.115 494.996 cm +1 0 0 1 213.115 494.803 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 216.104 494.796 Td [(indices)]TJ +/F8 9.9626 Tf 216.104 494.604 Td [(indices)-333(|)-334(Get)-333(v)28(ector)-334(of)-333(global)-333(indices)]TJ 0 g 0 G - [-413(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ + [-759(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -46.47 -12.079 Td [(get)]TJ + -78.351 -12.091 Td [(3.1.7)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 482.916 cm +1 0 0 1 183.515 482.712 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 482.717 Td [(con)28(text)]TJ +/F8 9.9626 Tf 186.504 482.513 Td [(con)28(text)-334(|)-333(Get)-333(comm)27(unication)-333(con)28(text)]TJ 0 g 0 G - [-779(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-966(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -16.87 -12.08 Td [(Clone)]TJ + -48.751 -12.091 Td [(3.1.8)-1144(Clone)-334(|)-333(clone)-334(cur)1(ren)27(t)-333(ob)-56(j)1(e)-1(ct)]TJ 0 g 0 G - [-861(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-577(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(14)]TJ + [-1083(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.08 Td [(CNV)]TJ + 0 -12.091 Td [(3.1.9)-1144(CNV)-334(|)-333(con)28(v)27(ert)-333(in)28(ternal)-333(storage)-334(format)]TJ 0 g 0 G - [-361(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-649(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.079 Td [(psb)]TJ + 0 -12.091 Td [(3.1.10)-644(psb)]TJ ET q -1 0 0 1 185.231 446.677 cm +1 0 0 1 185.231 446.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 188.22 446.478 Td [(cd)]TJ +/F8 9.9626 Tf 188.22 446.24 Td [(cd)]TJ ET q -1 0 0 1 198.78 446.677 cm +1 0 0 1 198.78 446.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.769 446.478 Td [(get)]TJ +/F8 9.9626 Tf 201.769 446.24 Td [(get)]TJ ET q -1 0 0 1 215.65 446.677 cm +1 0 0 1 215.65 446.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 218.639 446.478 Td [(large)]TJ +/F8 9.9626 Tf 218.639 446.24 Td [(large)]TJ ET q -1 0 0 1 240.297 446.677 cm +1 0 0 1 240.297 446.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 243.286 446.478 Td [(threshold)]TJ +/F8 9.9626 Tf 243.286 446.24 Td [(threshold)-222(|)-222(Get)-223(threshold)-222(for)-222(index)-222(map-)]TJ -73.652 -11.955 Td [(ping)-333(switc)27(h)]TJ 0 g 0 G - [-460(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-716(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -73.652 -12.08 Td [(psb)]TJ + -31.88 -12.091 Td [(3.1.11)-644(psb)]TJ ET q -1 0 0 1 185.231 434.597 cm +1 0 0 1 185.231 422.393 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 188.22 434.398 Td [(cd)]TJ +/F8 9.9626 Tf 188.22 422.194 Td [(cd)]TJ ET q -1 0 0 1 198.78 434.597 cm +1 0 0 1 198.78 422.393 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.769 434.398 Td [(set)]TJ +/F8 9.9626 Tf 201.769 422.194 Td [(set)]TJ ET q -1 0 0 1 214.599 434.597 cm +1 0 0 1 214.599 422.393 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 217.588 434.398 Td [(large)]TJ +/F8 9.9626 Tf 217.588 422.194 Td [(large)]TJ ET q -1 0 0 1 239.245 434.597 cm +1 0 0 1 239.245 422.393 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 242.234 434.398 Td [(threshold)]TJ +/F8 9.9626 Tf 242.234 422.194 Td [(threshold)-228(|)-227(Set)-228(threshold)-227(for)-228(index)-227(map-)]TJ -72.6 -11.956 Td [(ping)-333(switc)27(h)]TJ 0 g 0 G - [-565(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-716(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(14)]TJ + [-1084(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -72.6 -12.08 Td [(get)]TJ + -31.881 -12.091 Td [(3.1.12)-644(ge)-1(t)]TJ ET q -1 0 0 1 183.515 422.517 cm +1 0 0 1 183.515 398.347 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 422.318 Td [(p)]TJ +/F8 9.9626 Tf 186.504 398.147 Td [(p)]TJ ET q -1 0 0 1 192.637 422.517 cm +1 0 0 1 192.637 398.347 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 195.625 422.318 Td [(adjcncy)]TJ +/F8 9.9626 Tf 195.625 398.147 Td [(adjcncy)-333(|)-334(Get)-333(pro)-28(cess)-333(adjacency)-334(list)]TJ 0 g 0 G - [-530(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-697(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -25.991 -12.08 Td [(set)]TJ + -57.872 -12.091 Td [(3.1.13)-644(s)-1(et)]TJ ET q -1 0 0 1 182.464 410.438 cm +1 0 0 1 182.464 386.256 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 185.452 410.238 Td [(p)]TJ +/F8 9.9626 Tf 185.452 386.056 Td [(p)]TJ ET q -1 0 0 1 191.585 410.438 cm +1 0 0 1 191.585 386.256 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.574 410.238 Td [(adjcncy)]TJ +/F8 9.9626 Tf 194.574 386.056 Td [(adjcncy)-333(|)-334(Set)-333(pro)-28(cess)-333(adjacency)-333(list)]TJ 0 g 0 G - [-635(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-255(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(15)]TJ + [-1084(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -24.94 -12.079 Td [(fnd)]TJ + -56.821 -12.091 Td [(3.1.14)-644(fnd)]TJ ET q -1 0 0 1 184.345 398.358 cm +1 0 0 1 184.345 374.165 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 187.334 398.159 Td [(o)28(wner)]TJ +/F8 9.9626 Tf 187.334 373.965 Td [(o)28(wner)-334(|)-333(Find)-333(the)-333(o)27(wner)-333(pro)-28(cess)-333(of)-334(a)-333(set)-333(of)-334(ind)1(ic)-1(es)]TJ 0 g 0 G - [-554(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-984(.)]TJ 0 g 0 G - [-1084(15)]TJ + [-1083(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.581 -12.08 Td [(3.1.2)-1144(Nam)-1(ed)-333(Constan)28(ts)]TJ + -49.581 -12.091 Td [(3.1.15)-644(Nam)-1(ed)-333(Constan)28(ts)]TJ 0 g 0 G [-1017(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(16)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.08 Td [(3.2)-1022(Sparse)-334(Matri)1(x)-334(class)]TJ + -22.914 -12.091 Td [(3.2)-1022(Sparse)-334(Matri)1(x)-334(class)]TJ 0 g 0 G [-372(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(16)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 22.914 -12.079 Td [(3.2.1)-1144(Sparse)-334(Matrix)-333(Metho)-28(ds)]TJ + 22.914 -12.091 Td [(3.2.1)-1144(Sparse)-334(Matrix)-333(Metho)-28(ds)]TJ 0 g 0 G [-844(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 31.881 -12.08 Td [(get)]TJ + 0 -12.091 Td [(3.2.2)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 350.039 cm +1 0 0 1 183.515 325.801 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 349.84 Td [(nro)28(ws)]TJ +/F8 9.9626 Tf 186.504 325.601 Td [(nro)28(ws)-334(|)-333(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(ro)28(ws)-334(in)-333(a)-333(sparse)-334(matrix)]TJ 0 g 0 G - [-687(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ + [-707(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -16.87 -12.08 Td [(get)]TJ + -48.751 -12.091 Td [(3.2.3)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 337.96 cm +1 0 0 1 183.515 313.71 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 337.76 Td [(ncols)]TJ +/F8 9.9626 Tf 186.504 313.51 Td [(ncols)-333(|)-334(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(columns)-333(in)-334(a)-333(sparse)-333(matrix)]TJ 0 g 0 G - [-273(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-269(.)-500(.)]TJ 0 g 0 G [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -16.87 -12.079 Td [(get)]TJ + -48.751 -12.091 Td [(3.2.4)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 325.88 cm +1 0 0 1 183.515 301.619 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 325.681 Td [(nnzeros)]TJ +/F8 9.9626 Tf 186.504 301.419 Td [(nnzeros)-231(|)-231(Get)-231(n)28(um)28(b)-28(er)-231(of)-230(nonzero)-231(elemen)27(t)1(s)-231(in)-231(a)-231(sparse)]TJ -16.87 -11.955 Td [(matrix)]TJ 0 g 0 G - [-715(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-441(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(18)]TJ + [-1083(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -16.87 -12.08 Td [(get)]TJ + -31.881 -12.091 Td [(3.2.5)-1144(ge)-1(t)]TJ ET q -1 0 0 1 183.515 313.8 cm +1 0 0 1 183.515 277.572 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 313.601 Td [(size)]TJ +/F8 9.9626 Tf 186.504 277.373 Td [(size)-331(|)-332(Get)-331(maxim)28(um)-331(n)28(um)27(b)-27(er)-332(of)-331(nonzero)-331(elemen)28(ts)-332(in)]TJ -16.87 -11.955 Td [(a)-333(sparse)-334(matrix)]TJ 0 g 0 G - 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0 l S Q BT -/F8 9.9626 Tf 219.01 265.282 Td [(upp)-28(er,)-333(is)]TJ +/F8 9.9626 Tf 219.01 217.054 Td [(upp)-28(er,)-333(is)]TJ ET q -1 0 0 1 257.604 265.481 cm +1 0 0 1 257.604 217.253 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 260.593 265.282 Td [(triangle,)-333(is)]TJ +/F8 9.9626 Tf 260.593 217.054 Td [(triangle,)-333(is)]TJ ET q -1 0 0 1 307.213 265.481 cm +1 0 0 1 307.213 217.253 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 310.202 265.282 Td [(unit)]TJ +/F8 9.9626 Tf 310.201 217.054 Td [(unit)-333(|)-334(F)84(ormat)-334(c)28(hec)28(k)]TJ 0 g 0 G - [-696(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-929(.)-500(.)]TJ 0 g 0 G [-1084(20)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -140.568 -12.08 Td [(cscn)28(v)]TJ + -172.448 -12.091 Td [(3.2.10)-644(c)-1(scn)28(v)-333(|)-333(Con)27(v)28(ert)-333(to)-334(a)-333(di\013eren)28(t)-333(storage)-334(format)]TJ 0 g 0 G - 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526.967 Td [(gedots)-333(|)-334(Generalized)-333(Dot)-333(Pro)-28(duct)]TJ 0 g 0 G - [-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-927(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(34)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.079 Td [(4.4)-1022(psb)]TJ ET q -1 0 0 1 181.246 563.406 cm +1 0 0 1 204.16 515.087 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 563.206 Td [(normi)]TJ +/F8 9.9626 Tf 207.149 514.888 Td [(normi)-333(|)-334(In\014ni)1(t)27(y-Norm)-333(of)-333(V)83(ector)]TJ 0 g 0 G - [-548(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-270(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(36)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.08 Td [(4.5)-1022(psb)]TJ ET q -1 0 0 1 181.246 551.326 cm +1 0 0 1 204.16 503.007 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 551.127 Td [(geamaxs)]TJ +/F8 9.9626 Tf 207.149 502.808 Td [(geamaxs)-333(|)-334(Generalized)-333(In\014nit)28(y)-334(Norm)]TJ 0 g 0 G - [-962(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-316(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(38)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.6)-1022(psb)]TJ ET q -1 0 0 1 181.246 539.246 cm +1 0 0 1 204.16 490.928 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 539.047 Td [(norm1)]TJ +/F8 9.9626 Tf 207.149 490.728 Td [(norm1)-333(|)-334(1-Norm)-333(of)-333(V)83(ector)]TJ 0 g 0 G - [-326(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-409(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(39)]TJ + [-1083(39)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.079 Td [(4.7)-1022(psb)]TJ ET q -1 0 0 1 181.246 527.167 cm +1 0 0 1 204.16 478.848 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 526.967 Td [(geasums)]TJ +/F8 9.9626 Tf 207.149 478.649 Td [(geasums)-333(|)-334(Generalized)-333(1-Norm)-334(of)-333(V)83(ector)]TJ 0 g 0 G - [-262(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-335(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(41)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.08 Td [(4.8)-1022(psb)]TJ ET q -1 0 0 1 181.246 515.087 cm +1 0 0 1 204.16 466.768 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 514.888 Td [(norm2)]TJ +/F8 9.9626 Tf 207.149 466.569 Td [(norm2)-333(|)-334(2-Norm)-333(of)-333(V)83(ector)]TJ 0 g 0 G - [-326(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-409(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(43)]TJ + [-1083(43)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.9)-1022(psb)]TJ ET q -1 0 0 1 181.246 503.007 cm +1 0 0 1 204.16 454.688 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 502.808 Td [(genrm2s)]TJ +/F8 9.9626 Tf 207.149 454.489 Td [(genrm2s)-333(|)-334(Generalized)-333(2-Norm)-333(of)-334(V)84(e)-1(ctor)]TJ 0 g 0 G - [-265(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-338(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(45)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.10)-522(psb)]TJ ET q -1 0 0 1 181.246 490.928 cm +1 0 0 1 204.16 442.609 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 490.728 Td [(norm1)]TJ +/F8 9.9626 Tf 207.149 442.409 Td [(norm1)-333(|)-334(1-Norm)-333(of)-333(Sparse)-334(Matrix)]TJ 0 g 0 G - [-326(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-956(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(46)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.079 Td [(4.11)-522(psb)]TJ ET q -1 0 0 1 181.246 478.848 cm +1 0 0 1 204.16 430.529 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 478.649 Td [(normi)]TJ +/F8 9.9626 Tf 207.149 430.33 Td [(normi)-333(|)-334(In\014ni)1(t)27(y)-333(Norm)-333(of)-334(Sparse)-333(Matrix)]TJ 0 g 0 G - [-548(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-817(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(47)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.12)-522(psb)]TJ ET q -1 0 0 1 181.246 466.768 cm +1 0 0 1 204.16 418.449 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 466.569 Td [(spmm)]TJ +/F8 9.9626 Tf 207.149 418.25 Td [(spmm)-333(|)-334(Sparse)-333(Matrix)-333(b)28(y)-334(Dense)-333(Matrix)-333(Pro)-28(duct)]TJ 0 g 0 G - [-490(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-584(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(48)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.13)-522(psb)]TJ ET q -1 0 0 1 181.246 454.688 cm +1 0 0 1 204.16 406.37 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 454.489 Td [(spsm)]TJ +/F8 9.9626 Tf 207.149 406.17 Td [(spsm)-333(|)-334(T)84(riangular)-334(System)-333(Solv)28(e)]TJ 0 g 0 G - [-929(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-284(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(50)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -22.125 Td [(5)-925(Comm)32(unication)-383(r)-1(ou)1(t)-1(ines)]TJ + -41.5 -12.079 Td [(4.14)-522(psb)]TJ +ET +q +1 0 0 1 204.16 394.29 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 207.149 394.091 Td [(gemlt)-333(|)-334(En)28(trywise)-333(Pro)-28(duct)]TJ +0 g 0 G + [-906(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +0 g 0 G + [-1084(53)]TJ 0 g 0 G - [-19454(53)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.15)-522(psb)]TJ ET q -1 0 0 1 181.246 420.483 cm +1 0 0 1 204.16 382.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 420.284 Td [(halo)]TJ +/F8 9.9626 Tf 207.149 382.011 Td [(gediv)-333(|)-334(En)28(trywise)-333(Division)]TJ 0 g 0 G - [-495(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1015(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(54)]TJ + [-1084(55)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(4.16)-522(psb)]TJ ET q -1 0 0 1 181.246 408.404 cm +1 0 0 1 204.16 370.131 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 408.204 Td [(o)28(vrl)]TJ +/F8 9.9626 Tf 207.149 369.931 Td [(gein)28(v)-334(|)-333(En)28(trywise)-333(In)27(v)28(ersion)]TJ 0 g 0 G - [-659(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ + [-664(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1084(57)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ +/F27 9.9626 Tf -56.444 -22.125 Td [(5)-925(Comm)32(unication)-383(r)-1(ou)1(t)-1(ines)]TJ +0 g 0 G + [-19454(58)]TJ +0 0 1 rg 0 0 1 RG +/F8 9.9626 Tf 14.944 -12.08 Td [(5.1)-1022(psb)]TJ ET q -1 0 0 1 181.246 396.324 cm +1 0 0 1 204.16 335.925 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 396.125 Td [(gather)]TJ +/F8 9.9626 Tf 207.149 335.726 Td [(halo)-333(|)-334(Halo)-333(Data)-333(Comm)27(un)1(ic)-1(ati)1(o)-1(n)]TJ 0 g 0 G - [-326(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-320(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(61)]TJ + [-1084(59)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(5.2)-1022(psb)]TJ ET q -1 0 0 1 181.246 384.244 cm +1 0 0 1 204.16 323.846 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 384.045 Td [(scatter)]TJ +/F8 9.9626 Tf 207.149 323.647 Td [(o)28(vrl)-333(|)-334(Ov)28(erlap)-333(Up)-28(date)]TJ 0 g 0 G - [-932(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-579(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(63)]TJ + [-1084(62)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -22.125 Td [(6)-925(Data)-383(managem)-1(e)1(n)31(t)-383(routines)]TJ + -41.5 -12.08 Td [(5.3)-1022(psb)]TJ +ET +q +1 0 0 1 204.16 311.766 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 207.149 311.567 Td [(gather)-333(|)-334(Gather)-333(Global)-333(Dense)-334(Matrix)]TJ +0 g 0 G + [-903(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +0 g 0 G + [-1084(66)]TJ 0 g 0 G - [-18205(65)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(5.4)-1022(psb)]TJ ET q -1 0 0 1 181.246 350.039 cm +1 0 0 1 204.16 299.686 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 349.84 Td [(cdall)]TJ +/F8 9.9626 Tf 207.149 299.487 Td [(scatter)-333(|)-334(Scatter)-333(Global)-333(Dense)-334(Matrix)]TJ +0 g 0 G + [-682(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-273(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1084(68)]TJ 0 g 0 G - [-1084(65)]TJ +0 0 1 rg 0 0 1 RG +/F27 9.9626 Tf -56.444 -22.125 Td [(6)-925(Data)-383(managem)-1(e)1(n)31(t)-383(routines)]TJ 0 g 0 G + [-18205(70)]TJ 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.08 Td [(6.1)-1022(psb)]TJ ET q -1 0 0 1 181.246 337.96 cm +1 0 0 1 204.16 265.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 337.76 Td [(cdins)]TJ +/F8 9.9626 Tf 207.149 265.282 Td [(cdall)-333(|)-334(Allo)-27(cates)-334(a)-333(comm)27(u)1(nication)-334(descriptor)]TJ 0 g 0 G - [-879(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-817(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(69)]TJ + [-1084(70)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.08 Td [(6.2)-1022(psb)]TJ ET q -1 0 0 1 181.246 325.88 cm +1 0 0 1 204.16 253.402 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 325.681 Td [(cdasb)]TJ +/F8 9.9626 Tf 207.149 253.202 Td [(cdins)-333(|)-334(Comm)28(unication)-333(descriptor)-333(inse)-1(r)1(t)-334(routine)]TJ 0 g 0 G - [-657(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-861(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(71)]TJ + [-1084(74)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.079 Td [(6.3)-1022(psb)]TJ ET q -1 0 0 1 181.246 313.8 cm +1 0 0 1 204.16 241.322 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 313.601 Td [(cdcp)28(y)]TJ +/F8 9.9626 Tf 207.149 241.123 Td [(cdasb)-333(|)-334(Comm)28(unication)-333(descriptor)-334(assem)28(bly)-333(routine)]TJ 0 g 0 G - [-607(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-748(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(72)]TJ + [-1084(76)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(6.4)-1022(psb)]TJ ET q -1 0 0 1 181.246 301.72 cm +1 0 0 1 204.16 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 301.521 Td [(cdfree)]TJ +/F8 9.9626 Tf 207.149 229.043 Td [(cdcp)28(y)-334(|)-333(Copies)-333(a)-334(comm)28(unication)-333(descriptor)]TJ 0 g 0 G - [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ + [-706(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(73)]TJ + [-1084(77)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(6.5)-1022(psb)]TJ ET q -1 0 0 1 181.246 289.641 cm +1 0 0 1 204.16 217.162 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 289.441 Td [(cdbldext)]TJ +/F8 9.9626 Tf 207.149 216.963 Td [(cdfree)-333(|)-334(F)84(rees)-334(a)-333(comm)28(unication)-334(descriptor)]TJ 0 g 0 G - [-912(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-492(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(74)]TJ + [-1084(78)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.079 Td [(6.6)-1022(psb)]TJ ET q -1 0 0 1 181.246 277.561 cm +1 0 0 1 204.16 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 277.362 Td [(spall)]TJ +/F8 9.9626 Tf 207.149 204.884 Td [(cdbldext)-333(|)-334(Build)-333(an)-333(extended)-333(co)-1(mm)28(unication)-333(descriptor)]TJ 0 g 0 G - [-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-614(.)-500(.)]TJ 0 g 0 G - [-1084(76)]TJ + [-1084(79)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(6.7)-1022(psb)]TJ ET q -1 0 0 1 181.246 265.481 cm +1 0 0 1 204.16 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 265.282 Td [(spins)]TJ +/F8 9.9626 Tf 207.149 192.804 Td [(spall)-333(|)-334(Allo)-27(cates)-334(a)-333(sparse)-334(matrix)]TJ 0 g 0 G - [-929(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-806(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(77)]TJ + [-1084(81)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(6.8)-1022(psb)]TJ ET q -1 0 0 1 181.246 253.402 cm +1 0 0 1 204.16 180.923 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 253.202 Td [(spasb)]TJ +/F8 9.9626 Tf 207.149 180.724 Td [(spins)-333(|)-334(Insert)-333(a)-333(set)-334(of)-333(co)-28(e\016cien)28(ts)-334(in)28(to)-333(a)-333(sparse)-334(matrix)]TJ 0 g 0 G - [-707(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-814(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(80)]TJ + [-1084(82)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.08 Td [(6.9)-1022(psb)]TJ ET q -1 0 0 1 181.246 241.322 cm +1 0 0 1 204.16 168.844 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 241.123 Td [(spfree)]TJ +/F8 9.9626 Tf 207.149 168.644 Td [(spasb)-333(|)-334(Sparse)-333(matrix)-333(assem)27(bly)-333(routine)]TJ 0 g 0 G - [-570(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ + [-853(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(82)]TJ + [-1084(85)]TJ +0 g 0 G +0 0 1 rg 0 0 1 RG + -41.5 -12.079 Td [(6.10)-522(psb)]TJ +ET +q +1 0 0 1 204.16 156.764 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 207.149 156.565 Td [(spfree)-333(|)-334(F)84(rees)-334(a)-333(sparse)-334(matri)1(x)]TJ +0 g 0 G + [-482(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +0 g 0 G + [-1084(87)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(6.11)-522(psb)]TJ ET q -1 0 0 1 181.246 229.242 cm +1 0 0 1 204.16 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 229.043 Td [(sprn)]TJ +/F8 9.9626 Tf 207.149 144.485 Td [(sprn)-333(|)-334(Reinit)-333(sparse)-333(matrix)-334(structure)-333(for)-333(psblas)-333(routines.)]TJ 0 g 0 G - [-431(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ + [-1012(.)]TJ 0 g 0 G - [-1084(83)]TJ + [-1084(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.08 Td [(6.12)-522(psb)]TJ ET q -1 0 0 1 181.246 217.162 cm +1 0 0 1 204.16 132.605 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 216.963 Td [(geall)]TJ +/F8 9.9626 Tf 207.149 132.405 Td [(geall)-333(|)-334(Allo)-27(cates)-334(a)-333(dense)-334(matrix)]TJ 0 g 0 G - [-329(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-320(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(84)]TJ + [-1084(89)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.079 Td [(6.13)-522(psb)]TJ ET q -1 0 0 1 181.246 205.083 cm +1 0 0 1 204.16 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 204.884 Td [(geins)]TJ +/F8 9.9626 Tf 207.149 120.326 Td [(geins)-333(|)-334(Dense)-333(matrix)-333(insertion)-334(routine)]TJ 0 g 0 G - [-934(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-656(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +0 g 0 G + [-1083(90)]TJ +0 g 0 G +0 g 0 G + 112.644 -29.888 Td [(ii)]TJ +0 g 0 G +ET + +endstream +endobj +739 0 obj +<< +/Length 18635 +>> +stream 0 g 0 G - [-1084(85)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ +BT +/F8 9.9626 Tf 114.839 706.129 Td [(6.14)-522(psb)]TJ ET q -1 0 0 1 181.246 193.003 cm +1 0 0 1 153.351 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 192.804 Td [(geasb)]TJ +/F8 9.9626 Tf 156.339 706.129 Td [(geasb)-333(|)-334(Assem)28(bly)-333(a)-334(dense)-333(matrix)]TJ 0 g 0 G - [-712(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-559(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(87)]TJ + [-1084(92)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.094 Td [(6.15)-522(psb)]TJ ET q -1 0 0 1 181.246 180.923 cm +1 0 0 1 153.351 694.234 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 180.724 Td [(gefree)]TJ +/F8 9.9626 Tf 156.339 694.035 Td [(gefree)-333(|)-334(F)84(rees)-334(a)-333(dense)-334(matrix)]TJ 0 g 0 G - [-576(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-773(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(88)]TJ + [-1084(93)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.08 Td [(psb)]TJ + -41.5 -12.094 Td [(6.16)-522(psb)]TJ ET q -1 0 0 1 181.246 168.844 cm +1 0 0 1 153.351 682.14 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 168.644 Td [(gelp)]TJ +/F8 9.9626 Tf 156.339 681.941 Td [(gelp)-333(|)-334(Applies)-333(a)-333(left)-334(p)-27(erm)27(utation)-333(to)-333(a)-334(dense)-333(matrix)]TJ 0 g 0 G - [-551(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-317(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(89)]TJ + [-1084(94)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.079 Td [(psb)]TJ + -41.5 -12.095 Td [(6.17)-522(psb)]TJ ET q -1 0 0 1 181.246 156.764 cm +1 0 0 1 153.351 670.046 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 156.565 Td [(glob)]TJ +/F8 9.9626 Tf 156.339 669.846 Td [(glob)]TJ ET q -1 0 0 1 203.097 156.764 cm +1 0 0 1 175.202 670.046 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 206.086 156.565 Td [(to)]TJ +/F8 9.9626 Tf 178.191 669.846 Td [(to)]TJ ET q -1 0 0 1 215.54 156.764 cm +1 0 0 1 187.644 670.046 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 218.528 156.565 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 190.633 669.846 Td [(lo)-28(c)-333(|)-333(G)-1(l)1(obal)-334(to)-333(lo)-28(cal)-333(indices)-334(con)28(v)28(ertion)]TJ 0 g 0 G - [-747(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-821(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(90)]TJ + [-1083(95)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -52.879 -12.08 Td [(psb)]TJ + -75.794 -12.094 Td [(6.18)-522(psb)]TJ ET q -1 0 0 1 181.246 144.684 cm +1 0 0 1 153.351 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 144.485 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 156.339 657.752 Td [(lo)-28(c)]TJ ET q -1 0 0 1 197.286 144.684 cm +1 0 0 1 169.39 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 200.275 144.485 Td [(to)]TJ +/F8 9.9626 Tf 172.379 657.752 Td [(to)]TJ ET q -1 0 0 1 209.728 144.684 cm +1 0 0 1 181.833 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 212.717 144.485 Td [(glob)]TJ +/F8 9.9626 Tf 184.822 657.752 Td [(glob)-333(|)-334(Lo)-27(cal)-334(to)-333(global)-333(indices)-334(con)28(v)28(ersion)]TJ 0 g 0 G - [-748(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-753(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(92)]TJ + [-1084(97)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -47.068 -12.08 Td [(psb)]TJ + -69.983 -12.094 Td [(6.19)-522(psb)]TJ ET q -1 0 0 1 181.246 132.605 cm +1 0 0 1 153.351 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 132.405 Td [(is)]TJ +/F8 9.9626 Tf 156.339 645.658 Td [(is)]TJ ET q -1 0 0 1 191.53 132.605 cm +1 0 0 1 163.634 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 132.405 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 166.623 645.658 Td [(o)28(wned)-334(|)]TJ 0 g 0 G - [-880(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1135(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(93)]TJ + [-1084(98)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.869 -12.079 Td [(psb)]TJ + -51.784 -12.094 Td [(6.20)-522(psb)]TJ ET q -1 0 0 1 181.246 120.525 cm +1 0 0 1 153.351 633.763 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 120.326 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 156.339 633.564 Td [(o)28(wned)]TJ ET q -1 0 0 1 212.23 120.525 cm +1 0 0 1 184.334 633.763 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 215.219 120.326 Td [(index)]TJ -0 g 0 G - [-746(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 187.323 633.564 Td [(index)-333(|)]TJ 0 g 0 G - [-1083(94)]TJ -0 g 0 G -0 g 0 G - 104.574 -29.888 Td [(ii)]TJ -0 g 0 G -ET - -endstream -endobj -730 0 obj -<< -/Length 19307 ->> -stream + [-1002(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G + [-1083(99)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -BT -/F8 9.9626 Tf 114.839 706.129 Td [(psb)]TJ + -72.484 -12.094 Td [(6.21)-522(psb)]TJ ET q -1 0 0 1 130.436 706.328 cm +1 0 0 1 153.351 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 706.129 Td [(is)]TJ +/F8 9.9626 Tf 156.339 621.47 Td [(is)]TJ ET q -1 0 0 1 140.72 706.328 cm +1 0 0 1 163.634 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 143.709 706.129 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 166.623 621.47 Td [(lo)-28(cal)-333(|)]TJ 0 g 0 G - [-824(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1080(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(95)]TJ + [-584(100)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.87 -12.653 Td [(psb)]TJ + -51.784 -12.095 Td [(6.22)-522(psb)]TJ ET q -1 0 0 1 130.436 693.675 cm +1 0 0 1 153.351 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 693.476 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 156.339 609.375 Td [(lo)-28(cal)]TJ ET q -1 0 0 1 154.225 693.675 cm +1 0 0 1 177.139 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 157.214 693.476 Td [(index)]TJ +/F8 9.9626 Tf 180.128 609.375 Td [(index)-333(|)]TJ 0 g 0 G - [-691(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-947(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(96)]TJ + [-584(101)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.375 -12.654 Td [(psb)]TJ + -65.289 -12.094 Td [(6.23)-522(psb)]TJ ET q -1 0 0 1 130.436 681.022 cm +1 0 0 1 153.351 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 680.822 Td [(get)]TJ +/F8 9.9626 Tf 156.339 597.281 Td [(get)]TJ ET q -1 0 0 1 147.307 681.022 cm +1 0 0 1 170.221 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 680.822 Td [(b)-28(oundary)]TJ +/F8 9.9626 Tf 173.209 597.281 Td [(b)-28(oundary)-333(|)-333(Extract)-334(list)-333(of)-333(b)-28(oundary)-333(elemen)28(ts)]TJ 0 g 0 G - [-354(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-330(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(97)]TJ + [-584(102)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -12.653 Td [(psb)]TJ + -58.37 -12.094 Td [(6.24)-522(psb)]TJ ET q -1 0 0 1 130.436 668.368 cm +1 0 0 1 153.351 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 668.169 Td [(get)]TJ +/F8 9.9626 Tf 156.339 585.187 Td [(get)]TJ ET q -1 0 0 1 147.307 668.368 cm +1 0 0 1 170.221 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 668.169 Td [(o)28(v)28(e)-1(r)1(lap)]TJ +/F8 9.9626 Tf 173.209 585.187 Td [(o)28(v)28(e)-1(r)1(lap)-334(|)-333(Extract)-333(list)-334(of)-333(o)28(v)28(erlap)-334(elemen)28(ts)]TJ 0 g 0 G - [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-830(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G - [-1084(98)]TJ + [-584(103)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -12.653 Td [(psb)]TJ + -58.37 -12.094 Td [(6.25)-522(psb)]TJ ET q -1 0 0 1 130.436 655.715 cm +1 0 0 1 153.351 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 655.516 Td [(sp)]TJ +/F8 9.9626 Tf 156.339 573.093 Td [(sp)]TJ ET q -1 0 0 1 143.488 655.715 cm +1 0 0 1 166.402 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 146.476 655.516 Td [(getro)28(w)]TJ +/F8 9.9626 Tf 169.39 573.093 Td [(getro)28(w)-334(|)-333(Extract)-333(ro)28(w\050s)-1(\051)-333(from)-333(a)-333(s)-1(p)1(arse)-334(matrix)]TJ 0 g 0 G - [-433(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-810(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(99)]TJ + [-584(104)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.637 -12.654 Td [(psb)]TJ + -54.551 -12.094 Td [(6.26)-522(psb)]TJ ET q -1 0 0 1 130.436 643.062 cm +1 0 0 1 153.351 561.198 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 642.862 Td [(sizeof)]TJ +/F8 9.9626 Tf 156.339 560.999 Td [(sizeof)-333(|)-334(Memory)-333(o)-28(ccupation)]TJ 0 g 0 G - [-740(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(101)]TJ + [-583(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(Sorting)-333(utilities)]TJ + -41.5 -12.094 Td [(6.27)-522(Sorting)-333(utilities)-334(|)]TJ 0 g 0 G - [-519(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-775(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(102)]TJ + [-584(107)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -14.944 -23.081 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ +/F27 9.9626 Tf -14.944 -22.15 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ 0 g 0 G - [-16316(104)]TJ + [-16316(109)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.653 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.094 Td [(7.1)-1022(psb)]TJ ET q -1 0 0 1 130.436 594.674 cm +1 0 0 1 153.351 514.86 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 594.475 Td [(init)]TJ +/F8 9.9626 Tf 156.339 514.661 Td [(init)-333(|)-334(Initializes)-333(PSBLAS)-333(parallel)-333(e)-1(n)28(vironmen)28(t)]TJ 0 g 0 G - [-829(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-920(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(105)]TJ + [-584(110)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.654 Td [(psb)]TJ + -41.5 -12.094 Td [(7.2)-1022(psb)]TJ ET q -1 0 0 1 130.436 582.021 cm +1 0 0 1 153.351 502.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 581.821 Td [(info)]TJ +/F8 9.9626 Tf 156.339 502.567 Td [(info)-329(|)-328(Return)-329(information)-329(ab)-27(out)-329(PSBLAS)-329(parallel)-328(en)27(vir)1(on-)]TJ -18.586 -11.956 Td [(men)28(t)]TJ 0 g 0 G - [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-478(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(106)]TJ + [-584(111)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -22.914 -12.094 Td [(7.3)-1022(psb)]TJ ET q -1 0 0 1 130.436 569.367 cm +1 0 0 1 153.351 478.717 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 569.168 Td [(exit)]TJ +/F8 9.9626 Tf 156.339 478.517 Td [(exit)-333(|)-334(Exit)-333(from)-333(PSBLAS)-334(p)1(arallel)-334(en)28(vironmen)28(t)]TJ 0 g 0 G - [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-742(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(107)]TJ + [-584(112)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.4)-1022(psb)]TJ ET q -1 0 0 1 130.436 556.714 cm +1 0 0 1 153.351 466.622 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 556.515 Td [(get)]TJ +/F8 9.9626 Tf 156.339 466.423 Td [(get)]TJ ET q -1 0 0 1 147.307 556.714 cm +1 0 0 1 170.221 466.622 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 556.515 Td [(mpi)]TJ +/F8 9.9626 Tf 173.209 466.423 Td [(mpi)]TJ ET q -1 0 0 1 167.498 556.714 cm +1 0 0 1 190.412 466.622 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 170.486 556.515 Td [(comm)]TJ +/F8 9.9626 Tf 193.4 466.423 Td [(comm)-334(|)-333(Get)-333(the)-334(MPI)-333(comm)28(unicator)]TJ 0 g 0 G - [-664(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-868(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(108)]TJ + [-584(113)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -55.647 -12.654 Td [(psb)]TJ + -78.561 -12.094 Td [(7.5)-1022(psb)]TJ ET q -1 0 0 1 130.436 544.061 cm +1 0 0 1 153.351 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 543.861 Td [(get)]TJ +/F8 9.9626 Tf 156.339 454.329 Td [(get)]TJ ET q -1 0 0 1 147.307 544.061 cm +1 0 0 1 170.221 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 543.861 Td [(mpi)]TJ +/F8 9.9626 Tf 173.209 454.329 Td [(mpi)]TJ ET q -1 0 0 1 167.498 544.061 cm +1 0 0 1 190.412 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 170.486 543.861 Td [(rank)]TJ +/F8 9.9626 Tf 193.4 454.329 Td [(rank)-333(|)-334(Get)-333(the)-333(MPI)-334(rank)]TJ 0 g 0 G - [-523(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-282(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(109)]TJ + [-584(114)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -55.647 -12.653 Td [(psb)]TJ + -78.561 -12.094 Td [(7.6)-1022(psb)]TJ ET q -1 0 0 1 130.436 531.407 cm +1 0 0 1 153.351 442.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 531.208 Td [(wtime)]TJ +/F8 9.9626 Tf 156.339 442.235 Td [(wtime)-333(|)-334(W)84(all)-334(clo)-28(c)28(k)-333(timing)]TJ 0 g 0 G - [-440(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-445(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(110)]TJ + [-584(115)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.7)-1022(psb)]TJ ET q -1 0 0 1 130.436 518.754 cm +1 0 0 1 153.351 430.34 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 518.555 Td [(barrier)]TJ +/F8 9.9626 Tf 156.339 430.141 Td [(barrier)-333(|)-334(Sinc)28(hronization)-333(p)-28(oin)28(t)-333(parallel)-333(en)27(vironmen)28(t)]TJ 0 g 0 G - [-931(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ + [-845(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(111)]TJ + [-584(116)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.095 Td [(7.8)-1022(psb)]TJ ET q -1 0 0 1 130.436 506.101 cm +1 0 0 1 153.351 418.246 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 505.902 Td [(ab)-28(ort)]TJ +/F8 9.9626 Tf 156.339 418.046 Td [(ab)-28(ort)-333(|)-333(Ab)-28(ort)-333(a)-334(computation)]TJ 0 g 0 G - [-742(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ + [-717(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(112)]TJ + [-583(117)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.654 Td [(psb)]TJ + -41.5 -12.094 Td [(7.9)-1022(psb)]TJ ET q -1 0 0 1 130.436 493.448 cm +1 0 0 1 153.351 406.151 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 493.248 Td [(b)-28(cast)]TJ +/F8 9.9626 Tf 156.339 405.952 Td [(b)-28(cast)-333(|)-334(Broadcast)-333(data)]TJ 0 g 0 G - [-795(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-278(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(113)]TJ + [-584(118)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.10)-522(psb)]TJ ET q -1 0 0 1 130.436 480.794 cm +1 0 0 1 153.351 394.057 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 480.595 Td [(sum)]TJ +/F8 9.9626 Tf 156.339 393.858 Td [(sum)-333(|)-334(Global)-333(sum)]TJ 0 g 0 G - [-546(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ + [-900(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(114)]TJ + [-584(119)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.11)-522(psb)]TJ ET q -1 0 0 1 130.436 468.141 cm +1 0 0 1 153.351 381.963 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 467.942 Td [(max)]TJ +/F8 9.9626 Tf 156.339 381.764 Td [(max)-333(|)-334(Global)-333(maxim)28(um)]TJ 0 g 0 G - [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(115)]TJ + [-583(120)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.12)-522(psb)]TJ ET q -1 0 0 1 130.436 455.488 cm +1 0 0 1 153.351 369.869 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 455.289 Td [(min)]TJ +/F8 9.9626 Tf 156.339 369.67 Td [(min)-333(|)-334(Global)-333(minim)28(um)]TJ 0 g 0 G - [-662(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-994(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ 0 g 0 G - [-584(116)]TJ + [-584(121)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.654 Td [(psb)]TJ + -41.5 -12.094 Td [(7.13)-522(psb)]TJ ET q -1 0 0 1 130.436 442.835 cm +1 0 0 1 153.351 357.775 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 442.635 Td [(amx)]TJ +/F8 9.9626 Tf 156.339 357.576 Td [(amx)-333(|)-334(Global)-333(maxim)28(um)-334(absolute)-333(v)56(alue)]TJ 0 g 0 G - [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-294(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(117)]TJ + [-584(122)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.095 Td [(7.14)-522(psb)]TJ ET q -1 0 0 1 130.436 430.181 cm +1 0 0 1 153.351 345.681 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 429.982 Td [(amn)]TJ +/F8 9.9626 Tf 156.339 345.481 Td [(amn)-333(|)-334(Global)-333(minim)28(um)-334(absolu)1(te)-334(v)56(alue)]TJ 0 g 0 G - [-440(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-461(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(118)]TJ + [-584(123)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.15)-522(psb)]TJ ET q -1 0 0 1 130.436 417.528 cm +1 0 0 1 153.351 333.586 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 417.329 Td [(nrm2)]TJ +/F8 9.9626 Tf 156.339 333.387 Td [(nrm2)-333(|)-334(Global)-333(2-norm)-333(reduction)]TJ 0 g 0 G - [-826(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-847(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(119)]TJ + [-584(124)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.654 Td [(psb)]TJ + -41.5 -12.094 Td [(7.16)-522(psb)]TJ ET q -1 0 0 1 130.436 404.875 cm +1 0 0 1 153.351 321.492 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 404.675 Td [(snd)]TJ +/F8 9.9626 Tf 156.339 321.293 Td [(snd)-333(|)-334(Send)-333(data)]TJ 0 g 0 G - [-823(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1023(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(120)]TJ + [-584(125)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.653 Td [(psb)]TJ + -41.5 -12.094 Td [(7.17)-522(psb)]TJ ET q -1 0 0 1 130.436 392.221 cm +1 0 0 1 153.351 309.398 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 392.022 Td [(rcv)]TJ +/F8 9.9626 Tf 156.339 309.199 Td [(rcv)-333(|)-334(Receiv)28(e)-333(data)]TJ 0 g 0 G - [-965(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-762(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(121)]TJ + [-583(126)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -23.081 Td [(8)-925(Error)-383(handling)]TJ +/F27 9.9626 Tf -56.444 -22.15 Td [(8)-925(Error)-383(handling)]TJ 0 g 0 G - [-23812(122)]TJ + [-23812(127)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.654 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.094 Td [(8.1)-1022(psb)]TJ ET q -1 0 0 1 130.436 356.487 cm +1 0 0 1 153.351 275.154 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 356.288 Td [(errpush)]TJ +/F8 9.9626 Tf 156.339 274.955 Td [(errpush)]TJ 0 g 0 G - 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[(The)-253(maxim)27(u)1(m)-254(n)28(um)28(b)-28(er)-253(of)-253(nonzero)-254(elemen)28(ts)-253(that)-253(can)-254(b)-27(e)-254(stored)]TJ -53.48 -11.955 Td [(in)-333(sparse)-334(matrix)]TJ/F30 9.9626 Tf 74.056 0 Td [(a)]TJ/F8 9.9626 Tf 8.551 0 Td [(using)-333(its)-334(curren)28(t)-333(memory)-334(allo)-27(cation.)]TJ +/F8 9.9626 Tf 78.386 0 Td [(The)-253(maxim)27(um)-253(n)28(um)28(b)-28(er)-253(of)-253(nonzero)-254(elemen)28(ts)-253(that)-253(can)-254(b)-27(e)-254(stored)]TJ -53.479 -11.955 Td [(in)-333(sparse)-334(matrix)]TJ/F30 9.9626 Tf 74.055 0 Td [(a)]TJ/F8 9.9626 Tf 8.551 0 Td [(using)-333(its)-334(curren)28(t)-333(memory)-334(allo)-27(cation.)]TJ 0 g 0 G 59.361 -29.888 Td [(18)]TJ 0 g 0 G @@ -6845,15 +6906,15 @@ ET endstream endobj -935 0 obj +961 0 obj << -/Length 3701 +/Length 3749 >> stream 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(sizeof)-383(|)-384(Get)-383(memory)-383(o)-32(ccupation)-384(in)-383(b)32(ytes)-384(of)-383(a)-383(sparse)-384(matrix)]TJ +/F27 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[(fm)32(t)-383(|)-384(Short)-383(description)-384(of)-383(the)-383(dynamic)-384(t)32(yp)-32(e)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -19.56 -19.675 Td [(write\050*,*\051)-525(a%get_fmt\050\051)]TJ +/F30 9.9626 Tf -54.567 -19.675 Td [(write\050*,*\051)-525(a%get_fmt\050\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -23.988 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -6902,31 +6963,31 @@ BT 0 g 0 G 0 -22.686 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(A)-484(short)-483(string)-484(describing)-484(the)-484(dynamic)-484(t)28(yp)-27(e)-484(of)-484(the)-484(matrix.)]TJ -53.48 -11.956 Td [(Prede\014ned)-333(v)55(alues)-333(include)]TJ/F30 9.9626 Tf 113.408 0 Td [(NULL)]TJ/F8 9.9626 Tf 20.922 0 Td [(,)]TJ/F30 9.9626 Tf 6.088 0 Td [(COO)]TJ/F8 9.9626 Tf 15.691 0 Td [(,)]TJ/F30 9.9626 Tf 6.088 0 Td [(CSR)]TJ/F8 9.9626 Tf 19.012 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(CSC)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ/F27 9.9626 Tf -241.179 -29.558 Td [(is)]TJ +/F8 9.9626 Tf 78.387 0 Td [(A)-484(short)-483(string)-484(describing)-484(the)-484(dynamic)-484(t)28(yp)-27(e)-484(of)-484(the)-484(matrix.)]TJ -53.48 -11.956 Td [(Prede\014ned)-333(v)55(alues)-333(include)]TJ/F30 9.9626 Tf 113.408 0 Td [(NULL)]TJ/F8 9.9626 Tf 20.922 0 Td [(,)]TJ/F30 9.9626 Tf 6.088 0 Td [(COO)]TJ/F8 9.9626 Tf 15.691 0 Td [(,)]TJ/F30 9.9626 Tf 6.088 0 Td [(CSR)]TJ/F8 9.9626 Tf 19.012 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(CSC)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ/F27 9.9626 Tf -241.179 -29.558 Td [(3.2.8)-1150(is)]TJ ET q -1 0 0 1 108.284 316.012 cm +1 0 0 1 143.292 316.012 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 111.722 315.813 Td [(bld,)-383(is)]TJ +/F27 9.9626 Tf 146.729 315.813 Td [(bld,)-383(is)]TJ ET q -1 0 0 1 143.024 316.012 cm +1 0 0 1 178.032 316.012 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 146.462 315.813 Td [(up)-32(d,)-383(is)]TJ +/F27 9.9626 Tf 181.469 315.813 Td [(up)-32(d,)-383(is)]TJ ET q -1 0 0 1 181.265 316.012 cm +1 0 0 1 216.273 316.012 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 184.702 315.813 Td [(asb)-383(|)-384(Status)-383(c)32(hec)32(k)]TJ +/F27 9.9626 Tf 219.71 315.813 Td [(asb)-383(|)-384(Status)-383(c)32(hec)32(k)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -84.807 -19.674 Td [(if)-525(\050a%is_bld\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_upd\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_asb\050\051\051)-525(then)]TJ +/F30 9.9626 Tf -119.815 -19.674 Td [(if)-525(\050a%is_bld\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_upd\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_asb\050\051\051)-525(then)]TJ 0 g 0 G /F27 9.9626 Tf 0 -23.989 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -6952,46 +7013,46 @@ ET endstream endobj -940 0 obj +966 0 obj << -/Length 4619 +/Length 4632 >> stream 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(is)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(3.2.9)-1150(is)]TJ ET q -1 0 0 1 159.094 706.328 cm +1 0 0 1 194.101 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 162.531 706.129 Td [(lo)32(w)32(er,)-383(i)-1(s)]TJ +/F27 9.9626 Tf 197.538 706.129 Td [(lo)32(w)32(er,)-384(is)]TJ ET q -1 0 0 1 204.44 706.328 cm +1 0 0 1 239.447 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 207.877 706.129 Td [(upp)-32(er,)-383(is)]TJ +/F27 9.9626 Tf 242.884 706.129 Td [(upp)-32(er,)-383(is)]TJ ET q -1 0 0 1 252.65 706.328 cm +1 0 0 1 287.658 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 256.087 706.129 Td [(triangle,)-384(is)]TJ +/F27 9.9626 Tf 291.095 706.129 Td [(triangle,)-383(i)-1(s)]TJ ET q -1 0 0 1 309.931 706.328 cm +1 0 0 1 344.938 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 313.368 706.129 Td [(unit)-383(|)-384(F)96(ormat)-383(c)32(hec)32(k)]TJ +/F27 9.9626 Tf 348.375 706.129 Td [(unit)-383(|)-384(F)96(ormat)-383(c)32(hec)32(k)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -162.663 -19.048 Td [(if)-525(\050a%is_triangle\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_upper\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_lower\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_unit\050\051\051)-525(then)]TJ +/F30 9.9626 Tf -197.67 -19.048 Td [(if)-525(\050a%is_triangle\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_upper\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_lower\050\051\051)-525(then)]TJ 0 -11.955 Td [(if)-525(\050a%is_unit\050\051\051)-525(then)]TJ 0 g 0 G /F27 9.9626 Tf 0 -22.979 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -7002,14 +7063,14 @@ BT 0 g 0 G 0 -21.34 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)]TJ 14.355 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ 0 g 0 G -57.285 -34.934 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.341 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(A)]TJ/F30 9.9626 Tf 10.615 0 Td [(logical)]TJ/F8 9.9626 Tf 39.755 0 Td [(v)56(alue)-316(indicating)-315(whether)-316(the)-315(matrix)-316(i)1(s)-316(triangular;)]TJ -103.849 -11.955 Td [(if)]TJ/F30 9.9626 Tf 8.895 0 Td [(is_triangle\050\051)]TJ/F8 9.9626 Tf 71.079 0 Td [(returns)]TJ/F30 9.9626 Tf 34.189 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.466 0 Td [(c)28(hec)27(k)-309(also)-310(if)-309(it)-310(is)-309(lo)27(w)28(er,)-314(upp)-28(er)-309(and)-310(with)]TJ -148.629 -11.955 Td [(a)-333(unit)-334(\050i)1(.e)-1(.)-444(assumed\051)-333(diagonal.)]TJ/F27 9.9626 Tf -24.907 -27.773 Td [(cscn)32(v)-383(|)-384(Con)32(v)32(ert)-383(to)-384(a)-383(di\013eren)32(t)-383(storage)-384(format)]TJ +/F8 9.9626 Tf 78.386 0 Td [(A)]TJ/F30 9.9626 Tf 10.615 0 Td [(logical)]TJ/F8 9.9626 Tf 39.755 0 Td [(v)56(alue)-316(indicating)-315(whether)-316(the)-315(matrix)-316(i)1(s)-316(triangular;)]TJ -103.85 -11.955 Td [(if)]TJ/F30 9.9626 Tf 8.896 0 Td [(is_triangle\050\051)]TJ/F8 9.9626 Tf 71.079 0 Td [(returns)]TJ/F30 9.9626 Tf 34.189 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.466 0 Td [(c)28(hec)27(k)-309(also)-310(if)-309(it)-310(is)-309(lo)27(w)28(er,)-314(upp)-28(er)-309(and)-310(with)]TJ -148.63 -11.955 Td [(a)-333(unit)-334(\050i.e.)-444(assumed\051)-333(diagonal.)]TJ/F27 9.9626 Tf -24.906 -27.773 Td [(3.2.10)-1150(cscn)32(v)-384(|)-383(Con)32(v)32(ert)-383(to)-384(a)-383(di\013eren)32(t)-383(storage)-384(format)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf 0 -19.048 Td [(call)-1050(a%cscnv\050b,info)-525([,)-525(type,)-525(mold,)-525(dupl]\051)]TJ 0 -11.955 Td [(call)-1050(a%cscnv\050info)-525([,)-525(type,)-525(mold,)-525(dupl]\051)]TJ @@ -7023,28 +7084,28 @@ BT 0 g 0 G 0 -21.341 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix.)]TJ 14.356 -11.955 Td [(A)-333(v)55(ariable)-333(of)-333(t)27(y)1(p)-28(e)]TJ/F30 9.9626 Tf 81.942 0 Td [(psb_Tspmat_type)]TJ/F8 9.9626 Tf 78.456 0 Td [(.)]TJ -160.398 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix.)]TJ 14.355 -11.955 Td [(A)-333(v)55(ariable)-333(of)-333(t)27(yp)-27(e)]TJ/F30 9.9626 Tf 81.943 0 Td [(psb_Tspmat_type)]TJ/F8 9.9626 Tf 78.455 0 Td [(.)]TJ -160.398 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -80.358 -33.295 Td [(t)32(yp)-32(e)]TJ 0 g 0 G -/F8 9.9626 Tf 27.1 0 Td [(a)-333(string)-334(requesting)-333(a)-333(new)-334(format.)]TJ -2.193 -11.956 Td [(T)28(yp)-28(e:)-444(optional.)]TJ +/F8 9.9626 Tf 27.099 0 Td [(a)-333(string)-334(requesting)-333(a)-333(new)-334(format.)]TJ -2.193 -11.956 Td [(T)28(yp)-28(e:)-444(optional.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.34 Td [(mold)]TJ +/F27 9.9626 Tf -24.906 -21.34 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(a)-312(v)56(ariable)-312(of)]TJ/F30 9.9626 Tf 56.396 0 Td [(class\050psb_T_base_sparse_mat\051)]TJ/F8 9.9626 Tf 149.557 0 Td [(requesting)-312(a)-312(new)-312(format.)]TJ -210.851 -11.955 Td [(T)28(yp)-28(e:)-444(optional.)]TJ +/F8 9.9626 Tf 29.805 0 Td [(a)-312(v)56(ariable)-312(of)]TJ/F30 9.9626 Tf 56.396 0 Td [(class\050psb_T_base_sparse_mat\051)]TJ/F8 9.9626 Tf 149.557 0 Td [(requesting)-312(a)-312(new)-312(format.)]TJ -210.852 -11.955 Td [(T)28(yp)-28(e:)-444(optional.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.34 Td [(dupl)]TJ +/F27 9.9626 Tf -24.906 -21.34 Td [(dupl)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(an)-268(in)28(teger)-268(v)56(alue)-268(sp)-28(eci\014ng)-267(ho)27(w)-267(to)-268(handle)-268(duplicates)-268(\050see)-268(Named)-267(Constan)27(ts)]TJ -2.352 -11.956 Td [(b)-28(elo)28(w\051)]TJ +/F8 9.9626 Tf 27.259 0 Td [(an)-268(in)28(teger)-268(v)56(alue)-268(sp)-28(eci\014ng)-267(ho)27(w)-267(to)-268(handle)-268(duplicates)-268(\050see)-268(Named)-267(Constan)27(ts)]TJ -2.353 -11.956 Td [(b)-28(elo)28(w\051)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -22.979 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -24.906 -22.979 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.34 Td [(b,a)]TJ 0 g 0 G -/F8 9.9626 Tf 20.098 0 Td [(A)-333(cop)27(y)-333(of)]TJ/F30 9.9626 Tf 45.386 0 Td [(a)]TJ/F8 9.9626 Tf 8.551 0 Td [(with)-333(a)-334(new)-333(storage)-333(format.)]TJ -49.128 -11.955 Td [(A)-333(v)55(ariable)-333(of)-333(t)27(y)1(p)-28(e)]TJ/F30 9.9626 Tf 81.943 0 Td [(psb_Tspmat_type)]TJ/F8 9.9626 Tf 78.455 0 Td [(.)]TJ +/F8 9.9626 Tf 20.098 0 Td [(A)-333(cop)27(y)-333(of)]TJ/F30 9.9626 Tf 45.385 0 Td [(a)]TJ/F8 9.9626 Tf 8.552 0 Td [(with)-333(a)-334(new)-333(storage)-333(format.)]TJ -49.129 -11.955 Td [(A)-333(v)55(ariable)-333(of)-333(t)27(yp)-27(e)]TJ/F30 9.9626 Tf 81.943 0 Td [(psb_Tspmat_type)]TJ/F8 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -185.305 -21.34 Td [(info)]TJ +/F27 9.9626 Tf -185.304 -21.34 Td [(info)]TJ 0 g 0 G /F8 9.9626 Tf 23.758 0 Td [(Return)-333(co)-28(de.)]TJ -23.758 -23.333 Td [(The)]TJ/F30 9.9626 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452.141 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.911 520.513 Td [(genrm2)]TJ +/F8 9.9626 Tf 373.688 451.942 Td [(geasums)]TJ ET q -1 0 0 1 129.484 516.727 cm -[]0 d 0 J 0.398 w 0 0 m 284.534 0 l S +1 0 0 1 127.261 448.156 cm +[]0 d 0 J 0.398 w 0 0 m 288.979 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 228.067 488.688 Td [(T)83(able)-333(8:)-444(Data)-334(t)28(yp)-28(es)]TJ -0 g 0 G -0 g 0 G +/F8 9.9626 Tf 228.067 420.117 Td [(T)83(able)-333(7:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -128.172 -39.713 Td [(psb_genrm2\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 -11.955 Td [(psb_norm2\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -23.982 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -128.172 -35.827 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -22.677 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -21.709 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G 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293.25 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 319.864 Td [(vect)]TJ +/F30 9.9626 Tf 397.998 293.051 Td [(vect)]TJ ET q -1 0 0 1 419.547 320.063 cm +1 0 0 1 419.547 293.25 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 319.864 Td [(type)]TJ +/F30 9.9626 Tf 422.685 293.051 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf -297.883 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(8)]TJ + [-333(7)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -22.677 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -21.709 Td [(desc)]TJ ET q -1 0 0 1 121.81 285.431 cm +1 0 0 1 121.81 259.585 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 285.231 Td [(a)]TJ +/F27 9.9626 Tf 125.247 259.386 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td 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9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(scalar.)-445(Default:)]TJ/F30 9.9626 Tf 168.812 0 Td [(global=.true.)]TJ 0 g 0 G -/F27 9.9626 Tf -193.719 -34.632 Td [(On)-383(Return)]TJ + 0 -21.71 Td [(res)]TJ 0 g 0 G +/F8 9.9626 Tf 19.47 0 Td [(con)28(tains)-334(the)-333(1-norm)-333(of)-334(\050th)1(e)-334(columns)-333(of)-78(\051)]TJ/F11 9.9626 Tf 177.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.008 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Short)-324(as:)-440(a)-324(long)-324(precision)-324(real)-325(n)28(um)28(b)-28(er.)-441(Sp)-28(eci\014ed)-324(as:)-440(a)-324(long)-324(precision)-325(r)1(e)-1(al)]TJ 0 -11.955 Td [(n)28(um)28(b)-28(er.)]TJ 0 g 0 G -/F8 9.9626 Tf 166.875 -29.888 Td [(43)]TJ + 141.968 -29.888 Td [(41)]TJ 0 g 0 G ET endstream endobj -1114 0 obj +1017 0 obj << -/Length 4643 +/Type /ObjStm +/N 100 +/First 983 +/Length 11572 >> stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 150.705 706.129 Td [(F)96(unction)-384(V)96(alue)]TJ -0 g 0 G -/F8 9.9626 Tf 80.683 0 Td [(is)-333(the)-334(2-norm)-333(of)-333(v)27(ector)]TJ/F11 9.9626 Tf 102.781 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -164.252 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 31.842 0 Td [(global)]TJ/F8 9.9626 Tf 32.002 0 Td [(unless)-225(the)-226(optional)-225(v)55(ari)1(able)]TJ/F30 9.9626 Tf 118.433 0 Td [(global=.false.)]TJ/F8 9.9626 Tf 75.471 0 Td [(has)-225(b)-28(een)-226(sp)-27(ec-)]TJ -257.748 -11.955 Td [(i\014ed)]TJ 0 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 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-137.083 -18.081 Td [(y)]TJ +/F11 9.9626 Tf -137.083 -17.432 Td [(y)]TJ 0 g 0 G /F8 9.9626 Tf 10.223 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(y)]TJ/F7 6.9738 Tf 4.884 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ 0 g 0 G -/F11 9.9626 Tf -135.822 -18.081 Td [(A)]TJ +/F11 9.9626 Tf -135.822 -17.433 Td [(A)]TJ 0 g 0 G /F8 9.9626 Tf 12.453 0 Td [(is)-333(the)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 118.943 0 Td [(A)]TJ 0 g 0 G @@ -11430,98 +11486,98 @@ BT 0 g 0 G ET q -1 0 0 1 228.797 532.215 cm +1 0 0 1 228.797 525.728 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F11 9.9626 Tf 234.775 523.647 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\014)]TJ/F27 9.9626 Tf 71.239 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 234.775 517.16 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\014)]TJ/F27 9.9626 Tf 71.239 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 519.862 cm +1 0 0 1 228.797 513.374 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F8 9.9626 Tf 234.775 511.294 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 234.775 504.806 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET q -1 0 0 1 370.782 511.493 cm +1 0 0 1 370.782 505.006 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 511.294 Td [(spmm)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 373.771 504.806 Td [(spmm)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ ET q -1 0 0 1 370.782 499.538 cm +1 0 0 1 370.782 493.05 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 499.338 Td [(spmm)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 373.771 492.851 Td [(spmm)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.782 487.583 cm +1 0 0 1 370.782 481.095 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 487.383 Td [(spmm)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 373.771 480.896 Td [(spmm)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 370.782 475.627 cm +1 0 0 1 370.782 469.14 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 475.428 Td [(spmm)]TJ +/F8 9.9626 Tf 373.771 468.941 Td [(spmm)]TJ ET q -1 0 0 1 228.797 471.642 cm +1 0 0 1 228.797 465.155 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 443.603 Td [(T)83(able)-333(12:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 276.386 437.116 Td [(T)83(able)-333(12:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -125.681 -32.649 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(&)]TJ 67.994 -11.955 Td [(&)-525(trans,)-525(work\051)]TJ +/F30 9.9626 Tf -125.681 -30.379 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(&)]TJ 67.994 -11.955 Td [(&)-525(trans,)-525(work\051)]TJ 0 g 0 G -/F27 9.9626 Tf -67.994 -21.044 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -67.994 -19.422 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.575 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -18.927 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.576 Td [(alpha)]TJ + 0 -18.926 Td [(alpha)]TJ 0 g 0 G -/F8 9.9626 Tf 32.032 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.005 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +/F8 9.9626 Tf 32.032 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.005 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG [-333(12)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.575 Td [(a)]TJ +/F27 9.9626 Tf -24.906 -18.927 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(lo)-28(cal)-334(p)-27(ortion)-333(of)-334(the)-333(sparse)-334(matri)1(x)]TJ/F11 9.9626 Tf 166.792 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -159.908 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(lo)-28(cal)-334(p)-27(ortion)-333(of)-334(the)-333(sparse)-334(matri)1(x)]TJ/F11 9.9626 Tf 166.792 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -159.908 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 211.831 cm +1 0 0 1 327.588 211.183 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 211.632 Td [(Tspmat)]TJ +/F30 9.9626 Tf 330.727 210.983 Td [(Tspmat)]TJ ET q -1 0 0 1 362.736 211.831 cm +1 0 0 1 362.736 211.183 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.874 211.632 Td [(type)]TJ +/F30 9.9626 Tf 365.874 210.983 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -236.091 -19.575 Td [(x)]TJ +/F27 9.9626 Tf -236.091 -18.926 Td [(x)]TJ 0 g 0 G /F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG @@ -11560,7 +11616,7 @@ ET endstream endobj -1168 0 obj +1194 0 obj << /Length 6993 >> @@ -11690,22 +11746,22 @@ ET endstream endobj -1175 0 obj +1201 0 obj << -/Length 6772 +/Length 6783 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(4.13)-1125(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 209.121 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(spsm)-375(|)-375(T)94(riangular)-375(System)-375(Solv)31(e)]TJ/F8 9.9626 Tf -25.091 -19.095 Td [(This)-333(subroutine)-334(computes)-333(the)-333(T)83(riangular)-333(System)-334(S)1(o)-1(l)1(v)27(e:)]TJ/F11 9.9626 Tf 121.692 -35.01 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -77.312 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -85.837 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.432 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -85.837 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -79.119 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -87.644 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -87.644 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -80.399 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -88.924 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.432 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ/F8 9.9626 Tf -195.672 -37.999 Td [(where:)]TJ +/F16 11.9552 Tf 213.156 706.129 Td [(spsm)-375(|)-375(T)94(riangular)-375(System)-375(Solv)31(e)]TJ/F8 9.9626 Tf -62.451 -19.095 Td [(This)-333(subroutine)-334(computes)-333(the)-333(T)83(riangular)-333(System)-334(S)1(o)-1(l)1(v)27(e:)]TJ/F11 9.9626 Tf 121.692 -35.01 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -77.312 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 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-ʄlGUWZmL:`"2?5.,_2:dzj̸<,Vz;m\ҋ +5@;L p63I+LK| y`3XC[*?zmĹYy,Aq}GESl(cx[3a_b)q!vSSPP?GD)D٥o)pCJ# 8x!A?ޜ4oJs[BxLt]U p6|ɧmy&`a6 tpz'פ|Q 1oYb ZWDjcQea)r|?nMĆh9ZQ \VC{?[d y[K0yEGV+߄C|3H42ju#?K=cў p>db HnMl%:HQûz!F\DB,hjŔ5) h Pvܥ>' [ -e@<щP.8+r9|Lh02+cb=]s:ַߜ={\{x}sV='фna;/?d9qt]QfыC -,xC; N 2kܶjPңdֱC~ M\THr`AM} esXnS?=tG[G>w=0aK6nogm7ڣxo[|=:w≯gCXUtrf47jH2 )=-KO.({(BA")Jah y4/p6@S ;`#ёjn:0={aәx P]Q9:7gw:@I> stream 0 g 0 G 0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(4.14)-1125(psb)]TJ +ET +q +1 0 0 1 158.311 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 162.346 706.129 Td [(gemlt)-375(|)-375(En)31(trywise)-375(Pro)-31(duct)]TJ/F8 9.9626 Tf -62.451 -19.771 Td [(This)-333(function)-334(computes)-333(the)-333(en)27(try)1(w)-1(i)1(s)-1(e)-333(pro)-28(duct)-333(b)-28(et)28(w)28(een)-334(t)28(w)28(o)-333(v)27(ectors)]TJ/F11 9.9626 Tf 296.14 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ -185.258 -23.403 Td [(dot)]TJ/F14 9.9626 Tf 16.379 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(:)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -201.676 -24.145 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +ET +q +1 0 0 1 183.665 610.766 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +Q +BT +/F11 9.9626 Tf 189.642 602.198 Td [(dot)]TJ/F8 9.9626 Tf 13.612 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 88.927 0 Td [(F)96(unction)]TJ +ET +q +1 0 0 1 183.665 598.412 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +Q +BT +/F8 9.9626 Tf 189.642 589.845 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +ET +q +1 0 0 1 325.649 590.044 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 328.638 589.845 Td [(gemlt)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +ET +q +1 0 0 1 325.649 578.089 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 328.638 577.889 Td [(gemlt)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +ET +q +1 0 0 1 325.649 566.134 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 328.638 565.934 Td [(gemlt)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +ET +q +1 0 0 1 325.649 554.178 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 328.638 553.979 Td [(gemlt)]TJ +ET +q +1 0 0 1 183.665 550.193 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +Q +0 g 0 G +BT +/F8 9.9626 Tf 225.577 522.154 Td [(T)83(able)-333(14:)-444(Data)-334(t)28(yp)-28(es)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -125.682 -37.309 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -22.895 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -22.895 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -165.442 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ +ET +q +1 0 0 1 283.148 391.433 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 286.286 391.234 Td [(T)]TJ +ET +q +1 0 0 1 292.144 391.433 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 295.282 391.234 Td [(vect)]TJ +ET +q +1 0 0 1 316.831 391.433 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 319.969 391.234 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)-334(T)84(able)]TJ +0 0 1 rg 0 0 1 RG + [-334(2)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -22.895 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -164.99 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ +ET +q +1 0 0 1 283.148 308.762 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 286.286 308.563 Td [(T)]TJ +ET +q +1 0 0 1 292.144 308.762 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 295.282 308.563 Td [(vect)]TJ +ET +q +1 0 0 1 316.831 308.762 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 319.969 308.563 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)-334(T)84(able)]TJ +0 0 1 rg 0 0 1 RG + [-334(2)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -22.895 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 273.912 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 273.713 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +ET +q +1 0 0 1 276.779 226.091 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 279.917 225.892 Td [(desc)]TJ +ET +q +1 0 0 1 301.466 226.091 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 304.604 225.892 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -225.631 -22.895 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G + 0 -22.896 Td [(y)]TJ 0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -153.727 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ +ET +q +1 0 0 1 283.148 132.48 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 286.286 132.281 Td [(T)]TJ +ET +q +1 0 0 1 292.144 132.48 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 295.282 132.281 Td [(vect)]TJ +ET +q +1 0 0 1 316.831 132.48 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q BT -/F46 8.9664 Tf 256.776 645.656 Td [(Pro)-28(cess)-343(0)-8224(Pro)-28(cess)-343(1)]TJ -33.967 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X)1(\050I\051)-4657(I)-1334(GL)1(OB\050I\051)-1334(X\050I\051)]TJ -1.282 -10.959 Td [(1)-4966(1)-1961(1.0)-4514(1)-4452(33)-1961(2.0)]TJ 0 -10.959 Td [(2)-4966(2)-1961(1.0)-4514(2)-4452(34)-1961(2.0)]TJ 0 -10.959 Td [(3)-4966(3)-1961(1.0)-4514(3)-4452(35)-1961(2.0)]TJ 0 -10.959 Td [(4)-4966(4)-1961(1.0)-4514(4)-4452(36)-1961(2.0)]TJ 0 -10.959 Td [(5)-4966(5)-1961(1.0)-4514(5)-4452(37)-1961(2.0)]TJ 0 -10.959 Td [(6)-4966(6)-1961(1.0)-4514(6)-4452(38)-1961(2.0)]TJ 0 -10.959 Td [(7)-4966(7)-1961(1.0)-4514(7)-4452(39)-1961(2.0)]TJ 0 -10.958 Td [(8)-4966(8)-1961(1.0)-4514(8)-4452(40)-1961(2.0)]TJ 0 -10.959 Td [(9)-4966(9)-1961(1.0)-4514(9)-4452(41)-1961(2.0)]TJ -4.607 -10.959 Td [(10)-4452(10)-1961(1.0)-4000(10)-4452(42)-1961(2.0)]TJ 0 -10.959 Td [(11)-4452(11)-1961(1.0)-4000(11)-4452(43)-1961(2.0)]TJ 0 -10.959 Td [(12)-4452(12)-1961(1.0)-4000(12)-4452(44)-1961(2.0)]TJ 0 -10.959 Td [(13)-4452(13)-1961(1.0)-4000(13)-4452(45)-1961(2.0)]TJ 0 -10.959 Td [(14)-4452(14)-1961(1.0)-4000(14)-4452(46)-1961(2.0)]TJ 0 -10.959 Td [(15)-4452(15)-1961(1.0)-4000(15)-4452(47)-1961(2.0)]TJ 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[(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 43.898 0 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -116.542 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(flag=.true.)]TJ +0 g 0 G +/F27 9.9626 Tf -156.691 -19.844 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.844 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -154.179 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ +0 g 0 G +/F8 9.9626 Tf 112.357 -29.888 Td [(55)]TJ +0 g 0 G +ET + +endstream +endobj +1252 0 obj +<< +/Length 1485 +>> +stream +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 175.611 706.129 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ ET q -1 0 0 1 319.972 555.201 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 333.957 694.373 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 322.961 555.002 Td [(o)28(vrl)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ +/F30 9.9626 Tf 337.095 694.174 Td [(T)]TJ ET q -1 0 0 1 319.972 543.246 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 342.953 694.373 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 322.961 543.047 Td [(o)28(vrl)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F30 9.9626 Tf 346.092 694.174 Td [(vect)]TJ ET q -1 0 0 1 319.972 531.291 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 367.64 694.373 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 322.961 531.091 Td [(o)28(vrl)]TJ +/F30 9.9626 Tf 370.779 694.174 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.32 -11.955 Td [(the)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(14)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +0 g 0 G + 141.968 -524.035 Td [(56)]TJ +0 g 0 G +ET + +endstream +endobj +1261 0 obj +<< +/Length 7499 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(4.16)-1125(psb)]TJ ET q -1 0 0 1 177.988 527.306 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 158.311 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 225.577 499.266 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F16 11.9552 Tf 162.346 706.129 Td [(gein)31(v)-375(|)-375(En)31(trywise)-375(In)32(v)31(ersion)]TJ/F8 9.9626 Tf -62.451 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(en)27(try)1(w)-1(i)1(s)-1(e)-333(in)28(v)28(erse)-334(of)-333(a)-333(v)27(ector)]TJ/F11 9.9626 Tf 250.201 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)-333(puts)-334(it)-333(in)28(to)]TJ/F11 9.9626 Tf 71.731 0 Td [(y)]TJ -184.133 -17.8 Td [(=)]TJ/F14 9.9626 Tf 7.749 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(1)]TJ/F11 9.9626 Tf 4.981 0 Td [(=x)]TJ/F8 9.9626 Tf 10.675 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(:)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -194.13 -17.8 Td [(psb_geinv\050x,)-525(y,)-525(desc_a,)-525(info,)-525([flag\051)]TJ +0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.305 -28.465 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ ET q -1 0 0 1 150.859 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 183.665 633.574 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +Q +BT +/F11 9.9626 Tf 189.642 625.006 Td [(=)]TJ/F8 9.9626 Tf 4.982 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 97.558 0 Td [(F)96(unction)]TJ +ET +q +1 0 0 1 183.665 621.22 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S Q BT -/F8 9.9626 Tf 155.217 470.801 Td [(o)-138(v)-137(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 189.642 612.652 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET q -1 0 0 1 226.044 471 cm +1 0 0 1 325.649 612.852 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 230.155 470.801 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ +/F8 9.9626 Tf 328.638 612.652 Td [(gein)28(v)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ ET q -1 0 0 1 150.859 459.045 cm +1 0 0 1 325.649 600.897 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 155.217 458.846 Td [(o)-138(v)-137(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 328.638 600.697 Td [(gein)28(v)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ ET q -1 0 0 1 226.044 459.045 cm +1 0 0 1 325.649 588.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 230.155 458.846 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-847(u)-85(p)-86(d)-86(a)-85(t)-86(e)3(=)-13(u)-102(p)-101(d)-102(a)-102(t)-102(e)]TJ +/F8 9.9626 Tf 328.638 588.742 Td [(gein)28(v)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 364.631 459.045 cm +1 0 0 1 325.649 576.986 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 368.634 458.846 Td [(t)-102(y)-102(p)-101(e)-365(,)-813(w)-52(o)-51(r)-52(k)37(=)38(w)-52(o)-52(r)-51(k)-158(\051)]TJ +/F8 9.9626 Tf 328.638 576.787 Td [(gein)28(v)]TJ +ET +q +1 0 0 1 183.665 573.001 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +Q +0 g 0 G +BT +/F8 9.9626 Tf 225.577 544.962 Td [(T)83(able)-333(16:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -268.739 -25.406 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -125.682 -27.831 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.214 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -18.278 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.214 Td [(x)]TJ + 0 -18.278 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -165.442 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ ET q -1 0 0 1 385.864 347.39 cm +1 0 0 1 283.148 432.953 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 347.191 Td [(T)]TJ +/F30 9.9626 Tf 286.286 432.754 Td [(T)]TJ ET q -1 0 0 1 394.86 347.39 cm +1 0 0 1 292.144 432.953 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 347.191 Td [(vect)]TJ +/F30 9.9626 Tf 295.282 432.754 Td [(vect)]TJ ET q -1 0 0 1 419.547 347.39 cm +1 0 0 1 316.831 432.953 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 347.191 Td [(type)]TJ +/F30 9.9626 Tf 319.969 432.754 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)-334(T)84(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(15)]TJ + [-334(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.214 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -18.278 Td [(desc)]TJ ET q -1 0 0 1 121.81 316.221 cm +1 0 0 1 121.81 402.72 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 316.022 Td [(a)]TJ +/F27 9.9626 Tf 125.247 402.521 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 268.401 cm +1 0 0 1 276.779 354.899 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 268.201 Td [(desc)]TJ +/F30 9.9626 Tf 279.917 354.7 Td [(desc)]TJ ET q -1 0 0 1 336.723 268.401 cm +1 0 0 1 301.466 354.899 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 268.201 Td [(type)]TJ +/F30 9.9626 Tf 304.604 354.7 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.214 Td [(up)-32(date)]TJ +/F27 9.9626 Tf -225.631 -18.278 Td [(\015ag)]TJ 0 g 0 G -/F8 9.9626 Tf 39.671 0 Td [(Up)-28(date)-333(op)-28(erator.)]TJ +/F8 9.9626 Tf 22.645 0 Td [(c)28(hec)28(k)-349(if)-349(an)28(y)-349(of)-349(the)]TJ/F11 9.9626 Tf 84.074 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)-304(=)-303(0,)-353(and)-349(in)-349(case)-349(returns)-349(error)-349(haltin)1(g)-349(the)-349(compu-)]TJ -94.813 -11.955 Td [(tation.)]TJ 0 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 43.898 0 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -116.542 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(flag=.true.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.764 -31.169 Td [(up)-32(date)-383(=)-384(psb)]TJ +/F27 9.9626 Tf -156.691 -18.278 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -18.278 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -154.179 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ ET q -1 0 0 1 193.977 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 283.148 204.424 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 197.414 217.818 Td [(none)]TJ +/F30 9.9626 Tf 286.286 204.224 Td [(T)]TJ ET q -1 0 0 1 221.811 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 292.144 204.424 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 295.282 204.224 Td [(vect)]TJ +ET +q +1 0 0 1 316.831 204.424 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q +BT +/F30 9.9626 Tf 319.969 204.224 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(the)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(16)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -18.278 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 141.968 -35.732 Td [(57)]TJ +0 g 0 G +ET + +endstream +endobj +1267 0 obj +<< +/Length 651 +>> +stream +0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 230.229 217.818 Td [(Do)-333(nothing;)]TJ +/F16 14.3462 Tf 150.705 706.129 Td [(5)-1125(Comm)31(unication)-375(routines)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-283(routines)-283(in)-283(this)-283(c)28(hapter)-283(implemen)28(t)-283(v)55(arious)-283(global)-283(comm)28(unication)-283(op)-28(erators)]TJ 0 -11.955 Td [(on)-344(v)28(ectors)-344(asso)-27(c)-1(iated)-343(with)-344(a)-344(d)1(is)-1(cretization)-343(mesh.)-476(F)84(or)-344(auxiliary)-344(comm)28(unication)]TJ 0 -11.955 Td [(routines)-333(not)-334(tied)-333(to)-333(a)-334(d)1(is)-1(cretization)-333(space)-333(see)]TJ +0 0 1 rg 0 0 1 RG + [-334(6)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G + 166.874 -569.96 Td [(58)]TJ +0 g 0 G +ET + +endstream +endobj +1275 0 obj +<< +/Length 7269 +>> +stream +0 g 0 G 0 g 0 G -/F27 9.9626 Tf -105.427 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ +BT +/F16 11.9552 Tf 99.895 706.129 Td [(5.1)-1125(psb)]TJ ET q -1 0 0 1 193.977 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 151.587 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F27 9.9626 Tf 197.414 202.589 Td [(add)]TJ +/F16 11.9552 Tf 155.621 706.129 Td [(halo)-375(|)-375(Halo)-375(Data)-375(Comm)31(unication)]TJ/F8 9.9626 Tf -55.726 -18.389 Td [(These)-333(s)-1(u)1(broutines)-334(gathers)-333(the)-333(v)55(alues)-333(of)-334(th)1(e)-334(halo)-333(elemen)28(ts:)]TJ/F11 9.9626 Tf 158.413 -23.188 Td [(x)]TJ/F14 9.9626 Tf 8.462 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F8 9.9626 Tf -179.605 -21.251 Td [(where:)]TJ +0 g 0 G +/F11 9.9626 Tf 0 -19.391 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 10.676 0 Td [(is)-333(a)-334(global)-333(dense)-333(submatrix.)]TJ +0 g 0 G +0 g 0 G +0 g 0 G ET q -1 0 0 1 216.4 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 177.988 602.649 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 224.819 202.589 Td [(Sum)-333(o)27(v)28(erlap)-333(en)28(tries,)-334(i.e.)-444(apply)]TJ/F11 9.9626 Tf 136.544 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ -0 g 0 G -/F27 9.9626 Tf -250.617 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ +/F11 9.9626 Tf 183.966 594.081 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F27 9.9626 Tf 107.911 0 Td [(Subroutine)]TJ ET q -1 0 0 1 193.977 187.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 177.988 590.295 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F27 9.9626 Tf 197.414 187.36 Td [(a)32(vg)]TJ +/F8 9.9626 Tf 183.966 581.727 Td [(In)28(teger)-9028(psb)]TJ ET q -1 0 0 1 215.127 187.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 319.972 581.926 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 581.727 Td [(halo)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ +ET +q +1 0 0 1 319.972 569.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 223.546 187.36 Td [(Av)28(erage)-334(o)28(v)28(erlap)-333(en)27(tri)1(e)-1(s,)-333(i.e.)-444(apply)]TJ/F11 9.9626 Tf 152.345 0 Td [(P)]TJ/F10 6.9738 Tf 6.397 -1.494 Td [(a)]TJ/F11 9.9626 Tf 4.819 1.494 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ -276.361 -19.214 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(update)]TJ +/F8 9.9626 Tf 322.961 569.772 Td [(halo)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 194.239 144.435 cm +1 0 0 1 319.972 558.016 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 197.228 144.236 Td [(ty)-36(pe)]TJ/F8 9.9626 Tf 21.258 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(psb)]TJ +/F8 9.9626 Tf 322.961 557.817 Td [(halo)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ ET q -1 0 0 1 243.558 144.435 cm +1 0 0 1 319.972 546.061 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 246.547 144.236 Td [(av)-36(g)]TJ +/F8 9.9626 Tf 322.961 545.862 Td [(halo)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 262.706 144.435 cm +1 0 0 1 319.972 534.106 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 124.802 132.281 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(in)28(teger)-333(v)55(ariable.)]TJ +/F8 9.9626 Tf 322.961 533.906 Td [(halo)]TJ +ET +q +1 0 0 1 177.988 530.121 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +Q +0 g 0 G +BT +/F8 9.9626 Tf 225.577 502.081 Td [(T)83(able)-333(17:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G - 141.968 -29.888 Td [(57)]TJ 0 g 0 G +/F27 9.9626 Tf -124.305 -29.354 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.731 0 Td [(p)-122(s)-123(b)]TJ ET - -endstream -endobj -1250 0 obj -<< -/Length 5872 ->> -stream +q +1 0 0 1 150.256 472.926 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 154.464 472.727 Td [(h)-122(a)-123(l)-122(o)-228(\050)-130(x)-209(,)-874(d)-112(e)-113(s)-113(c)]TJ +ET +q +1 0 0 1 226.044 472.926 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 230.155 472.727 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.731 0 Td [(p)-122(s)-123(b)]TJ +ET +q +1 0 0 1 150.256 460.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 154.464 460.772 Td [(h)-122(a)-123(l)-122(o)-228(\050)-130(x)-209(,)-874(d)-112(e)-113(s)-113(c)]TJ +ET +q +1 0 0 1 226.044 460.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 230.155 460.772 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-804(w)-43(o)-43(r)-43(k)-247(,)]TJ/F27 9.9626 Tf 91.304 0 Td [(d)-39(a)-39(t)-40(a)]TJ/F8 9.9626 Tf 24.571 0 Td [(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -BT -/F27 9.9626 Tf 150.705 706.129 Td [(w)32(ork)]TJ +/F27 9.9626 Tf -246.135 -26.961 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 29.431 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(dimensional)-334(arr)1(a)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 252.609 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -283.209 -19.925 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -33.797 -19.659 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.658 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +ET +q +1 0 0 1 385.864 346.872 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 389.002 346.673 Td [(T)]TJ +ET +q +1 0 0 1 394.86 346.872 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 397.998 346.673 Td [(vect)]TJ +ET +q +1 0 0 1 419.547 346.872 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 422.685 346.673 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.49 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-475(of)-474(rank)-475(one)-474(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(um)28(b)-28(ers)-474(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ +/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(15)]TJ + [-333(17)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(t)1(e)-1(d.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ -0 g 0 G - [-500(If)-316(there)-316(is)-317(no)-316(o)28(v)28(erlap)-316(in)-317(t)1(he)-317(data)-316(distribution)-316(asso)-28(ciated)-316(with)-316(the)-316(descrip-)]TJ 12.73 -11.955 Td [(tor,)-333(no)-334(op)-27(erations)-334(are)-333(p)-28(erformed;)]TJ +/F27 9.9626 Tf -24.907 -19.658 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 315.259 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 315.06 Td [(a)]TJ 0 g 0 G - -12.73 -19.926 Td [(2.)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 267.438 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 267.239 Td [(desc)]TJ +ET +q +1 0 0 1 336.723 267.438 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 267.239 Td [(type)]TJ 0 g 0 G - [-500(The)-351(op)-27(e)-1(r)1(ator)]TJ/F11 9.9626 Tf 73.738 0 Td [(P)]TJ/F10 6.9738 Tf 7.779 3.616 Td [(T)]TJ/F8 9.9626 Tf 9.77 -3.616 Td [(p)-28(erforms)-350(the)-351(reduction)-351(sum)-350(of)-351(o)28(v)27(erlap)-350(elemen)27(ts;)-359(it)-351(is)-350(a)]TJ -78.557 -11.955 Td [(\134prolongation")-365(op)-28(erator)]TJ/F11 9.9626 Tf 108.923 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.615 Td [(T)]TJ/F8 9.9626 Tf 9.914 -3.615 Td 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d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 154.501 411.647 Td [(g)-123(a)-123(t)-123(h)-123(e)-123(r)-229(\050)-215(g)-110(l)-110(o)-110(b)]TJ +/F8 9.9626 Tf 280.965 470.801 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ ET q -1 0 0 1 219.873 411.847 cm +1 0 0 1 201.669 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 223.956 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F8 9.9626 Tf 206.027 458.846 Td [(o)-137(v)-138(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 261.2 411.847 cm +1 0 0 1 276.854 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 265.456 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 280.965 458.846 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-846(u)-86(p)-86(d)-86(a)-85(t)-86(e)3(=)-13(u)-101(p)-102(d)-102(a)-102(t)-102(e)]TJ ET q -1 0 0 1 309.731 411.847 cm +1 0 0 1 415.44 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 313.842 411.647 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-124(o)-123(o)-124(t)-230(\051)]TJ +/F8 9.9626 Tf 419.443 458.846 Td [(t)-102(y)-102(p)-101(e)-365(,)-813(w)-52(o)-51(r)-52(k)37(=)38(w)-52(o)-52(r)-51(k)-158(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -213.947 -26.424 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -268.738 -25.406 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.505 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.214 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.505 Td [(lo)-32(c)]TJ -ET -q -1 0 0 1 114.904 346.412 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 118.341 346.213 Td [(x)]TJ + 0 -19.214 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(g)-36(l)-19(o)-1(b)]TJ -ET -q -1 0 0 1 323.467 346.412 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 326.456 346.213 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.348 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 385.864 298.592 cm +1 0 0 1 436.673 347.39 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 298.392 Td [(T)]TJ +/F30 9.9626 Tf 439.811 347.191 Td [(T)]TJ ET q -1 0 0 1 394.86 298.592 cm +1 0 0 1 445.669 347.39 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 298.392 Td [(vect)]TJ +/F30 9.9626 Tf 448.807 347.191 Td [(vect)]TJ ET q -1 0 0 1 419.547 298.592 cm +1 0 0 1 470.356 347.39 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 298.392 Td [(type)]TJ +/F30 9.9626 Tf 473.495 347.191 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(indicated)-333(in)-334(T)84(able)]TJ +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-334(16)]TJ + [-333(18)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.505 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 267.131 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 266.932 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 312.036 219.311 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 219.111 Td [(desc)]TJ -ET -q -1 0 0 1 336.723 219.311 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 339.861 219.111 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.505 Td [(ro)-32(ot)]TJ -0 g 0 G -/F8 9.9626 Tf 25.931 0 Td [(The)-291(pro)-28(cess)-291(that)-291(holds)-291(the)-291(global)-291(cop)28(y)83(.)-430(If)]TJ/F11 9.9626 Tf 182.522 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 20.795 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-291(all)-291(the)-291(pro)-28(cesses)-291(will)]TJ -222.606 -11.955 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F14 9.9626 Tf 142.079 0 Td [(\000)]TJ/F8 9.9626 Tf 7.748 0 Td [(1)]TJ/F14 9.9626 Tf 7.749 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.795 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)]TJ/F14 9.9626 Tf 44.555 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ -0 g 0 G -/F27 9.9626 Tf -299.783 -19.505 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G -/F8 9.9626 Tf 166.875 -29.888 Td [(61)]TJ -0 g 0 G -ET - -endstream -endobj -1286 0 obj -<< -/Length 1459 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 150.705 706.129 Td [(glob)]TJ -ET -q -1 0 0 1 172.397 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 175.834 706.129 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(where)-333(the)-334(lo)-27(cal)-334(parts)-333(m)28(ust)-334(b)-27(e)-334(gathered.)]TJ -11.251 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(or)-333(t)28(w)28(o)-334(arra)28(y)-333(with)-333(the)]TJ/F30 9.9626 Tf 204.401 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ -0 g 0 G -/F27 9.9626 Tf -290.162 -19.925 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ -0 g 0 G - 141.968 -500.124 Td [(62)]TJ -0 g 0 G -ET - -endstream -endobj -1292 0 obj -<< -/Length 7828 ->> -stream -0 g 0 G -0 g 0 G -BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 124.986 706.129 Td [(scatter)-375(|)-375(Scatter)-375(Global)-375(Dense)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -19.28 Td [(These)-315(subroutines)-315(scatters)-315(the)-315(p)-28(ortions)-315(of)-315(global)-315(dense)-315(matrix)-315(o)28(wned)-315(b)27(y)-315(a)-315(pro-)]TJ 0 -11.955 Td [(cess)-334(to)-333(all)-333(the)-334(p)1(ro)-28(cesses)-334(in)-333(the)-333(pro)-28(cesses)-334(grid.)]TJ/F11 9.9626 Tf 119.021 -25.291 Td [(l)-20(oc)]TJ -ET -q -1 0 0 1 231.823 649.802 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 234.812 649.603 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 6.084 1.494 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(scatter)]TJ/F8 9.9626 Tf 30.853 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(g)-36(l)-19(o)-1(b)]TJ -ET -q -1 0 0 1 312.028 649.802 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 315.017 649.603 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ -220.816 -22.875 Td [(where:)]TJ -0 g 0 G -/F11 9.9626 Tf 0 -21.361 Td [(g)-36(l)-20(ob)]TJ -ET -q -1 0 0 1 117.965 605.567 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F11 9.9626 Tf 121.403 605.367 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(g)-36(l)-19(ob)]TJ -ET -q -1 0 0 1 238.975 605.567 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 241.964 605.367 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(m;)]TJ/F7 6.9738 Tf 9.435 0 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(n)]TJ -0 g 0 G -/F11 9.9626 Tf -169.652 -20.345 Td [(l)-20(oc)]TJ -ET -q -1 0 0 1 112.892 583.727 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F11 9.9626 Tf 116.329 583.528 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ -0 g 0 G -/F8 9.9626 Tf 8.298 1.494 Td [(is)-333(the)-334(lo)-27(c)-1(al)-333(p)-28(ortion)-333(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.704 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(.)]TJ -0 g 0 G -/F11 9.9626 Tf -268.562 -21.839 Td [(scatter)]TJ -0 g 0 G -/F8 9.9626 Tf 35.835 0 Td [(is)-333(the)-334(scatter)-333(function.)]TJ -0 g 0 G -0 g 0 G -0 g 0 G +/F27 9.9626 Tf -24.906 -19.214 Td [(desc)]TJ ET q -1 0 0 1 177.988 539.65 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 172.619 316.221 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F11 9.9626 Tf 183.966 531.082 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.494 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ +/F27 9.9626 Tf 176.057 316.022 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 177.988 527.296 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 362.845 268.401 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 183.966 518.729 Td [(In)28(teger)-9028(psb)]TJ +/F30 9.9626 Tf 365.983 268.201 Td [(desc)]TJ ET q -1 0 0 1 319.972 518.928 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 387.532 268.401 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 322.961 518.729 Td [(scatter)]TJ -138.995 -11.956 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ +/F30 9.9626 Tf 390.67 268.201 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -260.887 -19.214 Td [(up)-32(date)]TJ +0 g 0 G +/F8 9.9626 Tf 39.67 0 Td [(Up)-28(date)-333(op)-28(erator.)]TJ +0 g 0 G +/F27 9.9626 Tf -14.764 -31.169 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 319.972 506.973 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 244.786 218.017 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 322.961 506.773 Td [(scatter)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ +/F27 9.9626 Tf 248.223 217.818 Td [(none)]TJ ET q -1 0 0 1 319.972 495.017 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 272.62 218.017 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q +0 g 0 G BT -/F8 9.9626 Tf 322.961 494.818 Td [(scatter)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 281.039 217.818 Td [(Do)-333(nothing;)]TJ +0 g 0 G +/F27 9.9626 Tf -105.428 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 319.972 483.062 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 244.786 202.789 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 322.961 482.863 Td [(scatter)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F27 9.9626 Tf 248.223 202.589 Td [(add)]TJ ET q -1 0 0 1 319.972 471.107 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 267.21 202.789 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q +0 g 0 G BT -/F8 9.9626 Tf 322.961 470.908 Td [(scatter)]TJ +/F8 9.9626 Tf 275.628 202.589 Td [(Sum)-333(o)27(v)28(erlap)-333(en)28(tries,)-334(i.e.)-444(apply)]TJ/F11 9.9626 Tf 136.544 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -250.617 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 177.988 467.122 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 244.786 187.56 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 225.577 439.083 Td [(T)83(able)-333(17:)-444(Data)-334(t)28(yp)-28(es)]TJ -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -124.305 -33.261 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.991 0 Td [(p)-148(s)-149(b)]TJ +/F27 9.9626 Tf 248.223 187.36 Td [(a)32(vg)]TJ ET q -1 0 0 1 151.298 406.021 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 265.937 187.56 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q +0 g 0 G BT -/F8 9.9626 Tf 155.766 405.822 Td [(s)-148(c)-149(a)-148(t)-149(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ +/F8 9.9626 Tf 274.355 187.36 Td [(Av)28(erage)-334(o)28(v)28(erlap)-333(en)27(tries,)-333(i.e.)-444(apply)]TJ/F11 9.9626 Tf 152.346 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(a)]TJ/F11 9.9626 Tf 4.82 1.494 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ -276.362 -19.214 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(update)]TJ ET q -1 0 0 1 225.851 406.021 cm +1 0 0 1 245.048 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 229.934 405.822 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F11 9.9626 Tf 248.037 144.236 Td [(ty)-36(pe)]TJ/F8 9.9626 Tf 21.258 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(psb)]TJ ET q -1 0 0 1 267.178 406.021 cm +1 0 0 1 294.367 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 271.433 405.822 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F11 9.9626 Tf 297.356 144.236 Td [(av)-36(g)]TJ ET q -1 0 0 1 315.709 406.021 cm +1 0 0 1 313.516 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 319.82 405.822 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-864(r)-103(o)-103(o)-104(t)-367(,)-808(m)-47(o)-46(l)-47(d)-152(\051)]TJ +/F8 9.9626 Tf 175.611 132.281 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(in)28(teger)-333(v)55(ariable.)]TJ 0 g 0 G + 141.968 -29.888 Td [(62)]TJ 0 g 0 G +ET + +endstream +endobj +1319 0 obj +<< +/Length 5866 +>> +stream 0 g 0 G -/F27 9.9626 Tf -219.925 -30.766 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.84 Td [(On)-383(En)32(try)]TJ +BT +/F27 9.9626 Tf 99.895 706.129 Td [(w)32(ork)]TJ 0 g 0 G +/F8 9.9626 Tf 29.432 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(dimensional)-334(ar)1(ra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 252.609 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G - 0 -21.839 Td [(glob)]TJ -ET -q -1 0 0 1 121.587 331.576 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.024 331.377 Td [(x)]TJ +/F27 9.9626 Tf -283.21 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(that)-333(m)28(ust)-334(b)-27(e)-334(scattered)-333(in)28(to)-334(lo)-28(cal)-333(pieces.)]TJ -11.25 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(or)-334(t)28(w)28(o)-334(arra)28(y)84(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.839 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 261.916 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 261.717 Td [(a)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.489 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-474(of)-475(rank)-475(on)1(e)-475(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-475(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ + [-333(18)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(If)-316(there)-316(is)-317(no)-316(o)28(v)28(erlap)-316(in)-316(the)-317(data)-316(distribution)-316(asso)-28(ciated)-316(with)-316(the)-316(descrip-)]TJ 12.73 -11.955 Td [(tor,)-333(no)-334(op)-27(erations)-334(are)-333(p)-28(erformed;)]TJ +0 g 0 G + -12.73 -19.926 Td [(2.)]TJ +0 g 0 G + [-500(The)-351(op)-27(erator)]TJ/F11 9.9626 Tf 73.737 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 9.77 -3.616 Td [(p)-28(erforms)-350(the)-351(reduction)-351(sum)-350(of)-351(o)28(v)27(erlap)-350(elemen)28(ts)-1(;)-359(it)-351(i)1(s)-351(a)]TJ -78.557 -11.955 Td [(\134prolongation")-365(op)-28(erator)]TJ/F11 9.9626 Tf 108.923 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.615 Td [(T)]TJ/F8 9.9626 Tf 9.914 -3.615 Td [(that)-365(replicates)-365(o)27(v)28(erlap)-365(elemen)28(ts,)-373(accoun)27(tin)1(g)]TJ -126.617 -11.955 Td [(for)-333(the)-334(ph)28(ysical)-333(replication)-333(of)-334(data;)]TJ +0 g 0 G + -12.73 -19.925 Td [(3.)]TJ +0 g 0 G + [-500(The)-255(op)-28(erator)]TJ/F11 9.9626 Tf 71.84 0 Td [(P)]TJ/F10 6.9738 Tf 6.397 -1.495 Td [(a)]TJ/F8 9.9626 Tf 7.364 1.495 Td [(p)-28(erforms)-255(a)-256(scaling)-255(on)-256(the)-255(o)28(v)27(erlap)-255(elemen)28(ts)-256(b)28(y)-256(the)-255(amoun)28(t)]TJ -72.871 -11.956 Td [(of)-290(r)1(e)-1(pl)1(ic)-1(ati)1(on;)-305(th)28(us,)-298(when)-290(com)28(bined)-289(with)-290(the)-289(reduction)-290(op)-28(erator,)-298(it)-289(im)-1(p)1(le-)]TJ 0 -11.955 Td [(men)28(ts)-334(the)-333(a)28(v)28(erage)-334(of)-333(replicated)-333(elem)-1(en)28(ts)-333(o)28(v)27(er)-333(all)-333(of)-333(their)-334(instances.)]TJ/F16 11.9552 Tf -24.907 -19.925 Td [(Example)-388(of)-388(use)]TJ/F8 9.9626 Tf 93.469 0 Td [(Consider)-345(the)-344(discretization)-345(mesh)-345(d)1(e)-1(p)1(icte)-1(d)-344(in)-345(\014g.)]TJ +0 0 1 rg 0 0 1 RG + [-344(8)]TJ +0 g 0 G + [(,)-348(parti-)]TJ -93.469 -11.955 Td [(tioned)-330(among)-330(t)28(w)27(o)-330(pro)-27(c)-1(esses)-330(as)-330(sho)28(wn)-330(b)27(y)-330(the)-330(dashed)-330(lines,)-331(with)-330(an)-330(o)28(v)28(erlap)-330(of)-330(1)]TJ 0 -11.955 Td [(extra)-360(la)28(y)28(er)-360(with)-359(resp)-28(ect)-360(to)-359(the)-360(partition)-359(of)-360(\014g.)]TJ +0 0 1 rg 0 0 1 RG + [-359(7)]TJ +0 g 0 G + [(;)-373(the)-359(data)-360(distribution)-359(is)-360(suc)28(h)]TJ 0 -11.956 Td [(that)-351(eac)27(h)-351(pro)-28(cess)-351(will)-352(o)28(wn)-351(40)-352(en)28(tries)-351(in)-351(the)-352(index)-351(space,)-356(with)-351(an)-352(o)28(v)28(erlap)-351(of)-352(16)]TJ 0 -11.955 Td [(en)28(tries)-326(placed)-325(a)-1(t)-325(lo)-28(cal)-325(indices)-326(25)-326(through)-325(40;)-328(the)-326(halo)-325(w)-1(il)1(l)-326(run)-326(fr)1(om)-326(lo)-28(cal)-326(in)1(dex)]TJ 0 -11.955 Td [(41)-290(through)-291(lo)-27(cal)-291(index)-290(48..)-430(If)-291(pro)-27(cess)-291(0)-290(assigns)-291(an)-290(initial)-290(v)55(alue)-290(of)-291(1)-290(to)-290(its)-291(en)28(tries)]TJ 0 -11.955 Td [(in)-298(the)]TJ/F11 9.9626 Tf 28.079 0 Td [(x)]TJ/F8 9.9626 Tf 8.663 0 Td [(v)28(ector,)-305(and)-298(pro)-28(cess)-298(1)-298(assigns)-299(a)-298(v)56(alue)-298(of)-298(2,)-305(then)-298(after)-298(a)-298(call)-298(to)]TJ/F30 9.9626 Tf 265.127 0 Td [(psb_ovrl)]TJ/F8 9.9626 Tf -301.869 -11.955 Td [(with)]TJ/F30 9.9626 Tf 22.401 0 Td [(psb_avg_)]TJ/F8 9.9626 Tf 44.871 0 Td [(and)-304(a)-304(call)-304(to)]TJ/F30 9.9626 Tf 56.945 0 Td [(psb_halo_)]TJ/F8 9.9626 Tf 50.101 0 Td [(the)-304(con)28(ten)28(ts)-304(of)-304(the)-304(lo)-28(cal)-304(v)28(ectors)-304(will)-304(b)-28(e)]TJ -174.318 -11.955 Td [(the)-333(follo)27(win)1(g)-334(\050sho)28(wing)-333(a)-334(transition)-333(among)-333(the)-334(t)28(w)28(o)-333(sub)-28(domains\051)]TJ +0 g 0 G + 166.875 -143.462 Td [(63)]TJ +0 g 0 G ET -q -1 0 0 1 312.036 214.095 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q + +endstream +endobj +1327 0 obj +<< +/Length 3619 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +0 g 0 G +0 g 0 G BT -/F30 9.9626 Tf 315.174 213.896 Td [(desc)]TJ +/F31 7.9701 Tf 260.921 653.177 Td [(Pro)-29(ce)-1(ss)-354(0)-8986(Pro)-30(cess)-354(1)]TJ -33.381 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5180(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.185 -9.465 Td [(1)-5253(1)-2148(1)1(.)-1(0)-5031(1)-4722(33)-2147(1.5)]TJ 0 -9.464 Td [(2)-5253(2)-2148(1)1(.)-1(0)-5031(2)-4722(34)-2147(1.5)]TJ 0 -9.465 Td [(3)-5253(3)-2148(1)1(.)-1(0)-5031(3)-4722(35)-2147(1.5)]TJ 0 -9.464 Td [(4)-5253(4)-2148(1)1(.)-1(0)-5031(4)-4722(36)-2147(1.5)]TJ 0 -9.465 Td [(5)-5253(5)-2148(1)1(.)-1(0)-5031(5)-4722(37)-2147(1.5)]TJ 0 -9.464 Td [(6)-5253(6)-2148(1)1(.)-1(0)-5031(6)-4722(38)-2147(1.5)]TJ 0 -9.465 Td [(7)-5253(7)-2148(1)1(.)-1(0)-5031(7)-4722(39)-2147(1.5)]TJ 0 -9.464 Td [(8)-5253(8)-2148(1)1(.)-1(0)-5031(8)-4722(40)-2147(1.5)]TJ 0 -9.465 Td [(9)-5253(9)-2148(1)1(.)-1(0)-5031(9)-4722(41)-2147(2.0)]TJ -4.234 -9.464 Td [(10)-4722(10)-2147(1.0)-4500(10)-4722(42)-2147(2.0)]TJ 0 -9.465 Td [(11)-4722(11)-2147(1.0)-4500(11)-4722(43)-2147(2.0)]TJ 0 -9.464 Td [(12)-4722(12)-2147(1.0)-4500(12)-4722(44)-2147(2.0)]TJ 0 -9.465 Td [(13)-4722(13)-2147(1.0)-4500(13)-4722(45)-2147(2.0)]TJ 0 -9.464 Td [(14)-4722(14)-2147(1.0)-4500(14)-4722(46)-2147(2.0)]TJ 0 -9.465 Td [(15)-4722(15)-2147(1.0)-4500(15)-4722(47)-2147(2.0)]TJ 0 -9.464 Td [(16)-4722(16)-2147(1.0)-4500(16)-4722(48)-2147(2.0)]TJ 0 -9.465 Td [(17)-4722(17)-2147(1.0)-4500(17)-4722(49)-2147(2.0)]TJ 0 -9.464 Td [(18)-4722(18)-2147(1.0)-4500(18)-4722(50)-2147(2.0)]TJ 0 -9.465 Td [(19)-4722(19)-2147(1.0)-4500(19)-4722(51)-2147(2.0)]TJ 0 -9.464 Td 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l S +1 0 0 1 163.701 593.722 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 390.468 646.353 Td [(type)]TJ +/F11 9.9626 Tf 167.139 593.523 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 8.299 1.494 Td [(is)-333(the)-334(lo)-27(cal)-334(p)-28(or)1(tion)-334(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.703 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.684 -19.925 Td [(On)-383(Return)]TJ +/F11 9.9626 Tf -268.562 -19.505 Td [(col)-20(l)-19(ect)]TJ +0 g 0 G +/F8 9.9626 Tf 33.007 0 Td [(is)-333(the)-334(collect)-333(function.)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(lo)-32(c)]TJ -ET -q -1 0 0 1 165.713 606.702 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 169.151 606.502 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.117 0 Td [(g)-36(l)-20(ob)]TJ -ET -q -1 0 0 1 374.277 606.702 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 377.266 606.502 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.349 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-244(as:)-400(a)-244(rank)-244(on)1(e)-245(or)-243(t)27(w)28(o)-244(ALLOCA)83(T)84(ABLE)-244(arra)28(y)-244(or)-244(an)-244(ob)-56(ject)-244(of)-244(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 0 -11.955 Td [(psb)]TJ ET q -1 0 0 1 191.93 546.926 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 228.797 555.154 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F30 9.9626 Tf 195.068 546.727 Td [(T)]TJ +/F11 9.9626 Tf 234.775 546.587 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.495 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ ET q -1 0 0 1 200.926 546.926 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 228.797 542.801 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F30 9.9626 Tf 204.065 546.727 Td [(vect)]TJ +/F8 9.9626 Tf 234.775 534.233 Td [(In)28(teger)-9028(psb)]TJ ET q -1 0 0 1 225.613 546.926 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 370.782 534.432 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 228.752 546.727 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 24.242 0 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(the)-334(t)28(yp)-28(e)-333(indicated)-333(in)-333(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-333(17)]TJ -0 g 0 G - [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -102.289 -19.926 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ -0 g 0 G - 141.968 -388.543 Td [(64)]TJ -0 g 0 G -ET - -endstream -endobj -1305 0 obj -<< -/Length 6538 ->> -stream -0 g 0 G -0 g 0 G -BT -/F16 14.3462 Tf 99.895 706.129 Td [(6)-1125(Data)-375(managemen)31(t)-375(routines)]TJ/F16 11.9552 Tf 0 -23.814 Td [(psb)]TJ +/F8 9.9626 Tf 373.771 534.233 Td [(gather)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET q -1 0 0 1 120.951 682.515 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 370.782 522.477 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F16 11.9552 Tf 124.986 682.315 Td [(cdall)-375(|)-375(Allo)-31(cates)-375(a)-375(comm)31(unication)-375(descriptor)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,parts=parts\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vg=vg,[mg=mg,flag=flag]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,nl=nl\051)]TJ 0 -11.956 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,repl=.true.\051)]TJ/F8 9.9626 Tf 14.944 -20.107 Td [(This)-314(subroutine)-314(initializes)-315(the)-314(comm)28(unication)-314(descriptor)-314(as)-1(so)-27(ciated)-315(with)-314(an)]TJ -14.944 -11.955 Td [(index)-326(space.)-442(One)-326(of)-326(the)-327(option)1(al)-327(argumen)28(ts)]TJ/F30 9.9626 Tf 193.68 0 Td [(parts)]TJ/F8 9.9626 Tf 26.151 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(nl)]TJ/F8 9.9626 Tf 13.709 0 Td [(or)]TJ/F30 9.9626 Tf 12.133 0 Td [(repl)]TJ/F8 9.9626 Tf 24.171 0 Td [(m)28(ust)-326(b)-28(e)]TJ -308.859 -11.955 Td [(sp)-28(eci\014ed,)-333(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(sp)-28(eci\014c)-334(in)1(itialization)-334(strategy)84(.)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -18.477 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.201 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.201 Td [(icon)32(txt)]TJ -0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.201 Td [(vg)]TJ -0 g 0 G -/F8 9.9626 Tf 16.757 0 Td [(Data)-333(allo)-28(cation:)-444(e)-1(ac)28(h)-333(index)]TJ/F11 9.9626 Tf 123.565 0 Td [(i)]TJ/F14 9.9626 Tf 6.199 0 Td [(2)-278(f)]TJ/F8 9.9626 Tf 14.391 0 Td [(1)]TJ/F11 9.9626 Tf 6.641 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 8.303 0 Td [(is)-333(allo)-28(cated)-333(to)-334(pro)-27(c)-1(ess)]TJ/F11 9.9626 Tf 99.266 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051.)]TJ -294.958 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.201 Td [(\015ag)]TJ -0 g 0 G -/F8 9.9626 Tf 22.644 0 Td [(Sp)-28(eci\014es)-333(whether)-334(en)28(tries)-333(in)]TJ/F11 9.9626 Tf 121.932 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 13.617 0 Td [(are)-333(zero-)-334(or)-333(one-based.)]TJ -133.286 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 135.409 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(1,)-333(default)-334(0.)]TJ -0 g 0 G -/F27 9.9626 Tf -164.744 -19.2 Td [(mg)]TJ -0 g 0 G -/F8 9.9626 Tf 20.258 0 Td [(the)-333(\050global\051)-334(n)28(um)28(b)-28(er)-333(of)-333(ro)27(ws)-333(of)-333(the)-334(pr)1(oblem)-1(.)]TJ 4.649 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-332(as:)-444(an)-333(in)28(teger)-333(v)56(alue.)-445(It)-332(is)-333(required)-332(if)]TJ/F30 9.9626 Tf 203.266 0 Td [(parts)]TJ/F8 9.9626 Tf 29.466 0 Td [(or)]TJ/F30 9.9626 Tf 12.197 0 Td [(repl)]TJ/F8 9.9626 Tf 24.235 0 Td [(is)-333(sp)-27(e)-1(ci\014)1(e)-1(d)1(,)]TJ -269.164 -11.955 Td [(it)-333(is)-334(optional)-333(if)]TJ/F30 9.9626 Tf 67.857 0 Td [(vg)]TJ/F8 9.9626 Tf 13.781 0 Td [(is)-333(sp)-28(eci\014ed.)]TJ -0 g 0 G -/F27 9.9626 Tf -106.545 -19.201 Td [(parts)]TJ -0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(the)-333(subroutine)-334(th)1(at)-334(de\014nes)-333(the)-334(p)1(artitioning)-334(sc)28(heme.)]TJ -5.702 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(subroutine.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.201 Td [(vl)]TJ -0 g 0 G -/F8 9.9626 Tf 14.211 0 Td [(Data)-363(allo)-28(cation:)-504(the)-363(set)-364(of)-363(global)-363(indices)]TJ/F11 9.9626 Tf 182.789 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(\0501)-328(:)]TJ/F11 9.9626 Tf 18.151 0 Td [(nl)]TJ/F8 9.9626 Tf 9.148 0 Td [(\051)-363(b)-28(elonging)-363(to)-363(the)-364(calling)]TJ -207.747 -11.955 Td [(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ -0 g 0 G - 141.968 -29.888 Td [(65)]TJ -0 g 0 G -ET - -endstream -endobj -1310 0 obj -<< -/Length 6631 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 150.705 706.129 Td [(nl)]TJ -0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(Data)-223(allo)-28(cation)1(:)-390(in)-222(a)-223(generalized)-223(blo)-28(c)28(k-ro)28(w)-223(distribution)-223(the)-222(n)27(um)28(b)-28(er)-222(of)-223(indices)]TJ 10.377 -11.955 Td [(b)-28(elonging)-333(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Ma)28(y)-334(b)-28(e)-333(sp)-28(eci\014ed)-333(together)-333(with)]TJ/F30 9.9626 Tf 272.479 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -307.846 -20.135 Td [(repl)]TJ -0 g 0 G -/F8 9.9626 Tf 24.498 0 Td [(Data)-351(allo)-28(cation:)-480(build)-351(a)-351(replicated)-351(index)-351(space)-351(\050i.e.)-498(all)-351(pro)-28(cesses)-351(o)27(wn)-351(all)]TJ 0.408 -11.955 Td [(indices\051.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(the)-333(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(.true.)]TJ -0 g 0 G -/F27 9.9626 Tf -156.69 -20.135 Td [(globalc)32(hec)32(k)]TJ -0 g 0 G -/F8 9.9626 Tf 61.948 0 Td [(Data)-333(allo)-28(cation:)-444(do)-334(global)-333(c)28(hec)27(ks)-333(on)-333(the)-334(lo)-27(cal)-334(index)-333(lists)]TJ/F30 9.9626 Tf 250.201 0 Td [(vl)]TJ/F8 9.9626 Tf -287.243 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue,)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ -0 g 0 G -/F27 9.9626 Tf -187.962 -20.135 Td [(lidx)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Data)-353(allo)-28(cation:)-484(the)-353(set)-353(of)-353(lo)-28(cal)-353(indices)]TJ/F11 9.9626 Tf 176.171 0 Td [(l)-20(idx)]TJ/F8 9.9626 Tf 17.481 0 Td [(\0501)-311(:)]TJ/F11 9.9626 Tf 17.814 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-353(to)-353(b)-28(e)-353(assigned)-353(to)-353(the)]TJ -219.467 -11.955 Td [(global)-333(indices)]TJ/F11 9.9626 Tf 62.046 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(.)]TJ -70.401 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -22.127 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -20.135 Td [(desc)]TJ +/F8 9.9626 Tf 373.771 522.278 Td [(gather)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ ET q -1 0 0 1 172.619 376.512 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 370.782 510.522 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 376.313 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F8 9.9626 Tf 373.771 510.323 Td [(gather)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ ET q -1 0 0 1 362.845 328.692 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 370.782 498.567 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 365.983 328.492 Td [(desc)]TJ +/F8 9.9626 Tf 373.771 498.367 Td [(gather)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 387.532 328.692 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 370.782 486.612 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 390.67 328.492 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -20.135 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -22.128 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.176 -20.082 Td [(1.)]TJ -0 g 0 G - [-500(One)-241(of)-241(the)-240(optional)-241(argumen)28(ts)]TJ/F30 9.9626 Tf 144.915 0 Td [(parts)]TJ/F8 9.9626 Tf 26.151 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(nl)]TJ/F8 9.9626 Tf 12.859 0 Td [(or)]TJ/F30 9.9626 Tf 11.283 0 Td [(repl)]TJ/F8 9.9626 Tf 23.321 0 Td [(m)28(ust)-241(b)-28(e)-241(sp)-27(eci\014ed,)]TJ -242.774 -11.956 Td [(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(initialization)-333(strategy)-334(as)-333(follo)28(ws:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -20.135 Td [(parts)]TJ -0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(In)-337(this)-338(case)-338(w)28(e)-337(ha)27(v)28(e)-337(a)-338(subroutine)-337(sp)-28(ecifying)-337(the)-338(mapping)-337(b)-28(et)28(w)28(ee)-1(n)]TJ -8.691 -11.955 Td [(global)-225(indices)-225(and)-225(pro)-28(cess/lo)-28(cal)-225(in)1(dex)-225(pairs.)-409(If)-225(this)-225(optional)-225(argu)1(m)-1(en)28(t)]TJ 0 -11.955 Td [(is)-316(sp)-28(eci\014ed,)-320(then)-316(it)-317(is)-316(mandatory)-316(to)-317(sp)-28(ecify)-316(the)-316(argumen)27(t)]TJ/F30 9.9626 Tf 251.563 0 Td [(mg)]TJ/F8 9.9626 Tf 13.612 0 Td [(as)-316(w)27(ell.)]TJ -265.175 -11.955 Td [(The)-333(subroutine)-334(m)28(ust)-333(conform)-333(to)-334(the)-333(follo)28(wing)-334(in)28(terface:)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf 10.461 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ -0 g 0 G -/F8 9.9626 Tf 93.898 -29.888 Td [(66)]TJ -0 g 0 G -ET - -endstream -endobj -1316 0 obj -<< -/Length 10081 ->> -stream -0 g 0 G -0 g 0 G -BT -/F30 9.9626 Tf 183.332 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.46 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F8 9.9626 Tf -10.461 -17.586 Td [(The)-333(input)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -15.594 Td [(glob)]TJ +/F8 9.9626 Tf 373.771 486.412 Td [(gather)]TJ ET q -1 0 0 1 168.412 637.283 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 228.797 482.626 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -BT -/F27 9.9626 Tf 171.849 637.083 Td [(index)]TJ -0 g 0 G -/F8 9.9626 Tf 32.191 0 Td [(The)-333(global)-334(index)-333(to)-333(b)-28(e)-333(mapp)-28(ed;)]TJ -0 g 0 G -/F27 9.9626 Tf -57.32 -13.774 Td [(np)]TJ -0 g 0 G -/F8 9.9626 Tf 17.711 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ -0 g 0 G -/F27 9.9626 Tf -17.711 -13.774 Td [(mg)]TJ -0 g 0 G -/F8 9.9626 Tf 20.257 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(the)-333(mapping;)]TJ -20.257 -15.594 Td [(The)-333(output)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -15.594 Td [(n)32(v)]TJ -0 g 0 G -/F8 9.9626 Tf 17.075 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.46 0 Td [(;)]TJ -0 g 0 G -/F27 9.9626 Tf -139.172 -13.774 Td [(p)32(v)]TJ -0 g 0 G -/F8 9.9626 Tf 17.075 0 Td [(A)-481(v)28(ector)-481(con)28(taining)-481(the)-481(ind)1(ice)-1(s)-480(of)-481(the)-481(pro)-28(cesses)-481(to)-481(whic)28(h)-481(the)]TJ 1.555 -11.955 Td [(global)-468(index)-468(should)-468(b)-28(e)-468(assigend;)-535(e)-1(ac)28(h)-468(en)28(try)-468(m)28(ust)-469(satisfy)-468(0)]TJ/F14 9.9626 Tf 270.508 0 Td [(\024)]TJ/F11 9.9626 Tf -270.508 -11.956 Td [(pv)]TJ/F8 9.9626 Tf 10.199 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 8.603 0 Td [(<)-475(np)]TJ/F8 9.9626 Tf 23.47 0 Td [(;)-510(if)]TJ/F11 9.9626 Tf 18.163 0 Td [(nv)-511(>)]TJ/F8 9.9626 Tf 28.373 0 Td [(1)-451(w)27(e)-451(ha)28(v)27(e)-451(an)-452(i)1(ndex)-452(assigned)-451(to)-452(m)28(ultiple)]TJ -96.115 -11.955 Td [(pro)-28(cesses,)-333(i.e.)-445(w)28(e)-333(ha)27(v)28(e)-333(an)-333(o)27(v)28(erlap)-333(among)-333(the)-334(sub)-28(domain)1(s)-1(.)]TJ -0 g 0 G -/F27 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ -0 g 0 G -/F8 9.9626 Tf 16.757 0 Td [(In)-398(t)1(his)-398(case)-398(the)-397(asso)-28(ciation)-398(b)-27(e)-1(t)28(w)28(een)-398(an)-397(index)-398(and)-397(a)-398(pro)-27(ces)-1(s)-397(is)-398(sp)-27(e)-1(c-)]TJ 5.161 -11.955 Td [(i\014ed)-456(via)-456(an)-456(in)28(teger)-457(v)28(ector)]TJ/F30 9.9626 Tf 120.742 0 Td [(vg\0501:mg\051)]TJ/F8 9.9626 Tf 41.843 0 Td [(;)-517(e)-1(ac)28(h)-456(index)]TJ/F11 9.9626 Tf 59.63 0 Td [(i)]TJ/F14 9.9626 Tf 8.238 0 Td [(2)-482(f)]TJ/F8 9.9626 Tf 16.429 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 9.525 0 Td [(is)]TJ -290.189 -11.955 Td [(assigned)-449(to)-449(pro)-28(cess)]TJ/F11 9.9626 Tf 89.776 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)-792(The)-449(v)28(ector)]TJ/F30 9.9626 Tf 67.232 0 Td [(vg)]TJ/F8 9.9626 Tf 14.935 0 Td [(m)28(ust)-449(b)-28(e)-449(iden)28(tical)-450(on)-449(all)]TJ -189.546 -11.955 Td [(calling)-452(pro)-28(cesses;)-513(i)1(ts)-453(en)28(tries)-453(ma)28(y)-453(ha)28(v)28(e)-453(t)1(he)-453(ranges)-453(\0500)]TJ/F11 9.9626 Tf 236.604 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 27.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.754 0 Td [(1\051)-453(or)]TJ -274.639 -11.955 Td [(\0501)]TJ/F11 9.9626 Tf 10.516 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F8 9.9626 Tf 24.276 0 Td [(\051)-347(according)-347(to)-347(the)-347(v)55(alu)1(e)-348(of)]TJ/F30 9.9626 Tf 119.292 0 Td [(flag)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)-486(The)-347(size)]TJ/F11 9.9626 Tf 47.231 0 Td [(mg)]TJ/F8 9.9626 Tf 17.314 0 Td [(ma)28(y)-347(b)-28(e)-347(sp)-28(ec-)]TJ -239.55 -11.955 Td [(i\014ed)-414(via)-414(the)-415(opti)1(onal)-415(argumen)28(t)]TJ/F30 9.9626 Tf 142.427 0 Td [(mg)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)-455(the)-414(default)-414(is)-414(to)-414(use)-415(the)-414(en)28(tire)]TJ -152.888 -11.956 Td [(v)28(ector)]TJ/F30 9.9626 Tf 29.916 0 Td [(vg)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)-333(th)27(u)1(s)-334(ha)28(ving)]TJ/F30 9.9626 Tf 60.108 0 Td [(mg=size\050vg\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -179.936 -15.593 Td [(vl)]TJ -0 g 0 G -/F8 9.9626 Tf 14.211 0 Td [(In)-356(this)-357(case)-356(w)28(e)-357(are)-356(sp)-28(ecifying)-356(the)-357(list)-356(of)-356(indices)]TJ/F30 9.9626 Tf 210.707 0 Td [(vl\0501:nl\051)]TJ/F8 9.9626 Tf 45.394 0 Td [(assigned)-356(to)]TJ -248.394 -11.955 Td [(the)-462(curren)28(t)-462(pro)-27(ces)-1(s;)-526(th)28(us,)-494(the)-461(global)-462(problem)-462(size)]TJ/F11 9.9626 Tf 229.323 0 Td [(mg)]TJ/F8 9.9626 Tf 18.457 0 Td [(is)-462(giv)28(en)-462(b)28(y)]TJ -247.78 -11.956 Td [(the)-405(range)-405(of)-404(the)-405(aggregate)-405(of)-405(the)-405(in)1(dividual)-405(v)28(ectors)]TJ/F30 9.9626 Tf 233.196 0 Td [(vl)]TJ/F8 9.9626 Tf 14.494 0 Td [(sp)-28(eci\014ed)-405(in)]TJ -247.69 -11.955 Td [(the)-481(calling)-481(p)1(ro)-28(cesses.)-887(The)-481(size)-481(ma)28(y)-481(b)-28(e)-481(sp)-27(eci\014ed)-481(via)-481(the)-481(optional)]TJ 0 -11.955 Td [(argumen)28(t)]TJ/F30 9.9626 Tf 44.85 0 Td [(nl)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)-373(the)-361(defaul)1(t)-361(is)-360(to)-360(use)-360(the)-360(en)28(tire)-361(v)28(ector)]TJ/F30 9.9626 Tf 173.727 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-367(th)28(us)-360(ha)28(ving)]TJ/F30 9.9626 Tf -239.499 -11.955 Td [(nl=size\050vl\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-419(If)]TJ/F30 9.9626 Tf 16.132 0 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Td [(g)-123(a)-123(t)-123(h)-123(e)-123(r)-229(\050)-215(g)-110(l)-110(o)-110(b)]TJ ET - -endstream -endobj -1337 0 obj -<< -/Length 3163 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G +q +1 0 0 1 270.682 411.847 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q BT -/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(ila)]TJ -0 g 0 G -/F8 9.9626 Tf 16.915 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(s)-1(tar)1(ting)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.991 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -208.505 -19.925 Td [(jla)]TJ -0 g 0 G -/F8 9.9626 Tf 17.234 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.672 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ/F16 11.9552 Tf -208.505 -21.918 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ -0 g 0 G - [-500(This)-333(routine)-334(ma)28(y)-333(only)-333(b)-28(e)-334(called)-333(if)-333(the)-334(d)1(e)-1(scriptor)-333(is)-333(in)-333(the)-334(build)-333(state;)]TJ -0 g 0 G - 0 -19.925 Td [(2.)]TJ -0 g 0 G - [-500(This)-305(rou)1(tine)-305(automatically)-305(i)1(gnores)-305(edges)-305(that)-304(do)-305(not)-304(insist)-305(on)-304(the)-305(curren)28(t)]TJ 12.73 -11.955 Td [(pro)-28(cess,)-285(i.)1(e)-1(.)-424(edges)-272(for)-273(whic)28(h)-272(neither)-273(the)-272(starting)-272(nor)-273(the)-272(end)-273(v)28(ertex)-272(b)-28(elong)]TJ 0 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ -0 g 0 G - -12.73 -19.926 Td [(3.)]TJ -0 g 0 G - [-500(The)-437(second)-438(form)-437(of)-437(this)-437(routine)-438(wil)1(l)-438(b)-27(e)-438(useful)-437(when)-437(dealing)-437(with)-438(user-)]TJ 12.73 -11.955 Td [(sp)-28(eci\014ed)-333(index)-333(mappings;)-334(see)-333(also)]TJ -0 0 1 rg 0 0 1 RG - [-334(2.3.1)]TJ -0 g 0 G - [(.)]TJ -0 g 0 G - 141.968 -314.819 Td [(70)]TJ -0 g 0 G +/F8 9.9626 Tf 274.766 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ ET - -endstream -endobj -1346 0 obj -<< -/Length 6171 ->> -stream -0 g 0 G -0 g 0 G +q +1 0 0 1 312.009 411.847 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F8 9.9626 Tf 316.265 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 360.541 411.847 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]TJ +/F8 9.9626 Tf 364.652 411.647 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-124(o)-123(o)-124(t)-230(\051)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -213.947 -26.424 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.505 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ + 0 -19.505 Td [(lo)-32(c)]TJ ET q -1 0 0 1 121.81 626.17 cm +1 0 0 1 165.713 346.412 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 312.036 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ -ET -q -1 0 0 1 336.723 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(mold)]TJ +/F27 9.9626 Tf 169.151 346.213 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(index)-334(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(a)-222(ob)-56(ject)-222(of)-222(t)28(yp)-28(e)-222(deriv)28(ed)-223(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 219.87 0 Td [(psb)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.117 0 Td [(g)-36(l)-20(ob)]TJ ET q -1 0 0 1 360.991 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 374.277 346.412 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 364.129 510.405 Td [(T)]TJ +/F11 9.9626 Tf 377.266 346.213 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.349 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-56(j)1(e)-1(ct)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 369.987 510.604 cm +1 0 0 1 436.673 298.592 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 373.125 510.405 Td [(base)]TJ +/F30 9.9626 Tf 439.811 298.392 Td [(T)]TJ ET q -1 0 0 1 394.674 510.604 cm +1 0 0 1 445.669 298.592 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.813 510.405 Td [(vect)]TJ +/F30 9.9626 Tf 448.807 298.392 Td [(vect)]TJ ET q -1 0 0 1 419.361 510.604 cm +1 0 0 1 470.356 298.592 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.5 510.405 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 473.495 298.392 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -343.526 -21.918 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf -297.884 -11.955 Td [(indicated)-333(in)-334(T)84(able)]TJ +0 0 1 rg 0 0 1 RG + [-334(19)]TJ 0 g 0 G + [(.)]TJ 0 g 0 G - 0 -19.926 Td [(desc)]TJ +/F27 9.9626 Tf -24.906 -19.505 Td [(desc)]TJ ET q -1 0 0 1 121.81 468.761 cm +1 0 0 1 172.619 267.131 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 468.561 Td [(a)]TJ +/F27 9.9626 Tf 176.057 266.932 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 420.94 cm +1 0 0 1 362.845 219.311 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 420.741 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 219.111 Td [(desc)]TJ ET q -1 0 0 1 336.723 420.94 cm +1 0 0 1 387.532 219.311 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 420.741 Td [(type)]TJ +/F30 9.9626 Tf 390.67 219.111 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -260.887 -19.505 Td [(ro)-32(ot)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf 25.93 0 Td 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518.928 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 518.729 Td [(scatter)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +ET +q +1 0 0 1 370.782 506.973 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 506.773 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +ET +q +1 0 0 1 370.782 495.017 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 494.818 Td [(scatter)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +ET +q +1 0 0 1 370.782 483.062 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 482.863 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +ET +q +1 0 0 1 370.782 471.107 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 470.908 Td [(scatter)]TJ +ET +q +1 0 0 1 228.797 467.122 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +Q +0 g 0 G +BT +/F8 9.9626 Tf 276.386 439.083 Td [(T)83(able)-333(20:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G +/F27 9.9626 Tf -124.304 -33.261 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.99 0 Td [(p)-148(s)-149(b)]TJ +ET +q +1 0 0 1 202.107 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F8 9.9626 Tf 206.575 405.822 Td [(s)-149(c)-148(a)-149(t)-148(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ ET q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 276.66 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 280.744 405.822 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +ET +q +1 0 0 1 317.987 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.243 405.822 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +ET +q +1 0 0 1 366.519 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(cdfree)-375(|)-375(F)94(rees)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/F8 9.9626 Tf 370.63 405.822 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-864(r)-103(o)-103(o)-104(t)-367(,)-808(m)-47(o)-46(l)-47(d)-152(\051)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -219.925 -30.766 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -21.84 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ + 0 -21.839 Td [(glob)]TJ ET q -1 0 0 1 121.81 626.17 cm +1 0 0 1 172.397 331.576 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ +/F27 9.9626 Tf 175.834 331.377 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(that)-333(m)28(ust)-334(b)-27(e)-334(scattered)-333(in)28(to)-334(lo)-28(cal)-333(pieces.)]TJ -11.251 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(or)-333(t)28(w)28(o)-334(arra)28(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -21.839 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 261.916 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 261.717 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(to)-333(b)-28(e)-334(freed.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 578.35 cm +1 0 0 1 362.845 214.095 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 213.896 Td [(desc)]TJ ET q -1 0 0 1 336.723 578.35 cm +1 0 0 1 387.532 214.095 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F30 9.9626 Tf 390.67 213.896 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - 0 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -260.887 -21.839 Td [(ro)-32(ot)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 25.93 0 Td [(The)-420(pro)-27(ce)-1(ss)-419(that)-420(holds)-419(the)-420(global)-420(cop)28(y)83(.)-703(If)]TJ/F11 9.9626 Tf 194.21 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 22.228 0 Td [(=)]TJ/F14 9.9626 Tf 11.949 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-420(all)-419(the)-420(pro)-28(cesses)]TJ -237.16 -11.956 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-344(as)-1(:)-467(an)-344(in)28(tege)-1(r)-344(v)55(ariabl)1(e)]TJ/F14 9.9626 Tf 142.757 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.937 0 Td [(\024)]TJ/F11 9.9626 Tf 10.705 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.983 0 Td [(\024)]TJ/F11 9.9626 Tf 10.704 0 Td [(np)]TJ/F14 9.9626 Tf 13.282 0 Td [(\000)]TJ/F8 9.9626 Tf 10.038 0 Td [(1,)-347(default)]TJ/F30 9.9626 Tf 44.809 0 Td [(psb_root_)]TJ/F8 9.9626 Tf 47.073 0 Td [(,)]TJ -316.037 -11.955 Td [(i.e.)-444(pro)-28(cess)-334(0.)]TJ 0 g 0 G - 141.968 -398.049 Td [(73)]TJ + 141.968 -29.888 Td [(68)]TJ 0 g 0 G ET endstream endobj -1366 0 obj +1371 0 obj << -/Length 5916 +/Length 4181 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(mold)]TJ +0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.26 0 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 339.381 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(cdbldext)-282(|)-283(Build)-282(an)-282(extended)-283(comm)31(unication)-282(descrip-)]TJ -25.091 -13.948 Td [(tor)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf 0 -19.114 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F8 9.9626 Tf 14.944 -23.476 Td [(This)-298(subroutin)1(e)-298(builds)-298(an)-297(extended)-298(comm)28(unication)-298(descriptor,)-305(based)-297(on)-298(the)]TJ -14.944 -11.955 Td [(input)-389(descriptor)]TJ/F30 9.9626 Tf 74.287 0 Td [(desc_a)]TJ/F8 9.9626 Tf 35.261 0 Td [(and)-389(on)-390(the)-389(stencil)-390(sp)-27(eci\014ed)-390(through)-389(the)-389(input)-390(sparse)]TJ -109.548 -11.956 Td [(matrix)]TJ/F30 9.9626 Tf 32.406 0 Td [(a)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -37.637 -21.094 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -21.483 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -21.484 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(A)-333(sparse)-334(matrix)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 101.176 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -109.893 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(t)27(yp)-27(e.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -21.484 Td [(desc)]TJ +/F30 9.9626 Tf 342.519 658.308 Td [(T)]TJ ET q -1 0 0 1 172.619 504.47 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 348.377 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 176.057 504.27 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F30 9.9626 Tf 351.515 658.308 Td [(base)]TJ +ET +q +1 0 0 1 373.064 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 376.202 658.308 Td [(vect)]TJ +ET +q +1 0 0 1 397.751 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 400.89 658.308 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)-334(lo)-27(c)]TJ +ET +q +1 0 0 1 231.17 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 234.159 646.353 Td [(x)-333(is)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 52.359 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 456.649 cm +1 0 0 1 302.837 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 456.45 Td [(Tspmat)]TJ +/F30 9.9626 Tf 305.975 646.353 Td [(T)]TJ ET q -1 0 0 1 397.993 456.649 cm +1 0 0 1 311.833 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.131 456.45 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -271.347 -21.484 Td [(nl)]TJ -0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(additional)-333(la)28(y)27(ers)-333(desired.)]TJ 10.377 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F11 9.9626 Tf 130.428 0 Td [(nl)]TJ/F14 9.9626 Tf 11.916 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0.)]TJ -0 g 0 G -/F27 9.9626 Tf -177.766 -21.483 Td [(ext)32(yp)-32(e)]TJ +/F30 9.9626 Tf 314.971 646.353 Td [(vect)]TJ +ET +q +1 0 0 1 336.52 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.658 646.353 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 38.397 0 Td [(the)-333(kind)-334(of)-333(estension)-333(required.)]TJ -13.491 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 44.396 0 Td [(.)]TJ -69.58 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-419(as:)-616(an)-420(in)28(teger)-419(v)55(alue)]TJ/F30 9.9626 Tf 135.566 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf 7.159 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-441(default:)]TJ/F30 9.9626 Tf -278.714 -11.955 Td [(psb_ovt_xhal_)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -23.476 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.685 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -21.484 Td [(desc)]TJ + 0 -19.926 Td [(lo)-32(c)]TJ ET q -1 0 0 1 172.619 261.126 cm +1 0 0 1 114.904 606.702 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 260.927 Td [(out)]TJ +/F27 9.9626 Tf 118.341 606.502 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(extended)-334(comm)28(unication)-333(descriptor.)]TJ -21.976 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(g)-36(l)-19(o)-1(b)]TJ +ET +q +1 0 0 1 323.467 606.702 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F11 9.9626 Tf 326.456 606.502 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.348 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-244(as:)-400(a)-244(ran)1(k)-244(one)-244(or)-244(t)27(w)28(o)-244(ALLOCA)83(T)84(ABLE)-244(arra)28(y)-244(or)-244(an)-244(ob)-56(ject)-244(of)-244(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 0 -11.955 Td [(psb)]TJ +ET +q +1 0 0 1 141.121 546.926 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 144.259 546.727 Td [(T)]TJ ET q -1 0 0 1 362.845 213.305 cm +1 0 0 1 150.117 546.926 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 213.106 Td [(desc)]TJ +/F30 9.9626 Tf 153.255 546.727 Td [(vect)]TJ ET q -1 0 0 1 387.532 213.305 cm +1 0 0 1 174.804 546.926 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 213.106 Td [(type)]TJ +/F30 9.9626 Tf 177.942 546.727 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 24.242 0 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(the)-334(t)28(yp)-28(e)-333(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-334(20)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.484 Td [(info)]TJ + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -102.289 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -23.476 Td [(Notes)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G -/F8 9.9626 Tf 166.874 -29.888 Td [(74)]TJ + 141.968 -388.543 Td [(69)]TJ 0 g 0 G ET endstream endobj -1370 0 obj +1375 0 obj << -/Length 1591 +/Length 6550 >> stream 0 g 0 G 0 g 0 G +BT +/F16 14.3462 Tf 150.705 706.129 Td [(6)-1125(Data)-375(managemen)31(t)-375(routines)]TJ/F16 11.9552 Tf 0 -23.814 Td [(6.1)-1125(psb)]TJ +ET +q +1 0 0 1 202.396 682.515 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 206.431 682.315 Td [(cdall)-375(|)-375(Allo)-31(cates)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,parts=parts\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vg=vg,[mg=mg,flag=flag]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,nl=nl\051)]TJ 0 -11.956 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,repl=.true.\051)]TJ/F8 9.9626 Tf 14.944 -20.107 Td [(This)-314(subroutine)-314(initializes)-315(th)1(e)-315(comm)28(unication)-314(descriptor)-314(ass)-1(o)-27(ciated)-315(with)-314(an)]TJ -14.944 -11.955 Td [(index)-326(space.)-442(One)-326(of)-326(the)-327(op)1(tional)-327(argu)1(m)-1(en)28(ts)]TJ/F30 9.9626 Tf 193.679 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(nl)]TJ/F8 9.9626 Tf 13.71 0 Td [(or)]TJ/F30 9.9626 Tf 12.133 0 Td [(repl)]TJ/F8 9.9626 Tf 24.17 0 Td [(m)28(ust)-326(b)-28(e)]TJ -308.858 -11.955 Td [(sp)-28(eci\014ed,)-333(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(sp)-28(eci\014c)-333(initialization)-334(strategy)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -18.477 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.201 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.201 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-1(n)-333(in)28(teger)-333(v)55(alue.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(vg)]TJ +0 g 0 G +/F8 9.9626 Tf 16.757 0 Td [(Data)-333(allo)-28(cation:)-444(eac)27(h)-333(index)]TJ/F11 9.9626 Tf 123.564 0 Td [(i)]TJ/F14 9.9626 Tf 6.2 0 Td [(2)-278(f)]TJ/F8 9.9626 Tf 14.39 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 8.302 0 Td [(is)-333(allo)-28(cated)-334(t)1(o)-334(pro)-28(cess)]TJ/F11 9.9626 Tf 99.267 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)]TJ -294.958 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(\015ag)]TJ +0 g 0 G +/F8 9.9626 Tf 22.644 0 Td [(Sp)-28(eci\014es)-333(whether)-333(e)-1(n)28(tries)-333(in)]TJ/F11 9.9626 Tf 121.932 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 13.617 0 Td [(are)-333(zero-)-334(or)-333(one-based.)]TJ -133.286 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 135.409 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(1,)-333(default)-334(0.)]TJ 0 g 0 G -BT -/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ +/F27 9.9626 Tf -164.744 -19.2 Td [(mg)]TJ 0 g 0 G - [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.091 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 70.801 0 Td [(for)-282(the)]TJ/F30 9.9626 Tf 31.377 0 Td [(extype)]TJ/F8 9.9626 Tf 34.188 0 Td [(argumen)28(t)-282(the)-282(user)-281(will)-282(obtain)-281(a)]TJ -183.727 -11.955 Td [(descriptor)-258(f)1(o)-1(r)-257(a)-258(domain)-257(partition)-258(in)-257(whic)28(h)-258(the)-257(additional)-258(la)28(y)28(ers)-258(are)-257(fetc)27(hed)]TJ 0 -11.955 Td [(as)-415(part)-415(of)-415(an)-415(\050extended\051)-415(halo;)-456(ho)28(w)27(ev)28(er)-415(the)-415(index-to-pro)-28(cess)-415(mapping)-415(is)]TJ 0 -11.956 Td [(iden)28(tical)-334(t)1(o)-334(that)-333(of)-333(the)-334(base)-333(descriptor;)]TJ +/F8 9.9626 Tf 20.257 0 Td [(the)-333(\050global\051)-334(n)28(um)28(b)-28(er)-333(of)-333(ro)27(ws)-333(of)-333(the)-334(probl)1(e)-1(m.)]TJ 4.65 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-332(as:)-444(an)-333(in)28(teger)-333(v)56(alue.)-444(I)-1(t)-332(is)-333(required)-332(if)]TJ/F30 9.9626 Tf 203.266 0 Td [(parts)]TJ/F8 9.9626 Tf 29.465 0 Td [(or)]TJ/F30 9.9626 Tf 12.198 0 Td [(repl)]TJ/F8 9.9626 Tf 24.235 0 Td [(is)-333(sp)-27(ec)-1(i)1(\014e)-1(d)1(,)]TJ -269.164 -11.955 Td [(it)-333(is)-334(optional)-333(if)]TJ/F30 9.9626 Tf 67.856 0 Td [(vg)]TJ/F8 9.9626 Tf 13.782 0 Td [(is)-333(sp)-28(eci\014ed.)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ +/F27 9.9626 Tf -106.545 -19.201 Td [(parts)]TJ +0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(the)-333(subroutine)-334(th)1(at)-334(de\014nes)-333(the)-333(partitioning)-334(sc)28(heme.)]TJ -5.702 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(subroutine.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(vl)]TJ 0 g 0 G - [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.957 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 71.666 0 Td [(for)-368(the)]TJ/F30 9.9626 Tf 33.107 0 Td [(extype)]TJ/F8 9.9626 Tf 35.054 0 Td [(argumen)28(t)-369(the)-368(user)-369(will)-368(obtain)]TJ -188.054 -11.955 Td [(a)-458(descriptor)-459(with)-458(an)-458(o)28(v)27(erlapp)-27(ed)-459(decomp)-27(os)-1(iti)1(on:)-695(the)-458(additional)-458(la)27(y)28(er)-458(is)]TJ 0 -11.955 Td [(aggregated)-413(to)-413(the)-413(lo)-28(cal)-413(sub)-28(domain)-413(\050and)-413(th)28(us)-414(is)-413(an)-413(o)28(v)28(erlap\051,)-433(and)-413(a)-414(new)]TJ 0 -11.955 Td [(halo)-333(extending)-334(b)-27(ey)27(on)1(d)-334(the)-333(last)-333(additional)-334(la)28(y)28(er)-333(is)-334(formed.)]TJ +/F8 9.9626 Tf 14.211 0 Td [(Data)-363(allo)-28(cation:)-504(the)-363(set)-364(of)-363(global)-363(indices)]TJ/F11 9.9626 Tf 182.789 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(\0501)-328(:)]TJ/F11 9.9626 Tf 18.15 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-363(b)-28(elonging)-363(to)-363(the)-364(callin)1(g)]TJ -207.747 -11.955 Td [(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.074 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ 0 g 0 G - 141.968 -524.035 Td [(75)]TJ + 141.967 -29.888 Td [(70)]TJ 0 g 0 G ET endstream endobj -1378 0 obj +1380 0 obj << -/Length 4890 +/Length 6638 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(spall)-375(|)-375(Allo)-31(cates)-375(a)-375(sparse)-375(matrix)]TJ +/F27 9.9626 Tf 99.895 706.129 Td 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3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 8.603 0 Td [(<)-475(np)]TJ/F8 9.9626 Tf 23.47 0 Td [(;)-511(i)1(f)]TJ/F11 9.9626 Tf 18.163 0 Td [(nv)-511(>)]TJ/F8 9.9626 Tf 28.373 0 Td [(1)-451(w)27(e)-451(ha)28(v)27(e)-451(an)-452(in)1(dex)-452(assigned)-451(to)-452(m)28(ultiple)]TJ -96.115 -11.955 Td [(pro)-28(cesses,)-333(i.e.)-445(w)28(e)-333(ha)27(v)28(e)-333(an)-333(o)27(v)28(erlap)-333(among)-334(t)1(he)-334(sub)-28(domains.)]TJ 0 g 0 G -/F8 9.9626 Tf 16.439 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.468 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td 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[(\051.)-792(The)-449(v)28(ector)]TJ/F30 9.9626 Tf 67.232 0 Td [(vg)]TJ/F8 9.9626 Tf 14.935 0 Td [(m)28(ust)-449(b)-28(e)-449(iden)28(tica)-1(l)-449(on)-449(all)]TJ -189.546 -11.955 Td [(calling)-452(pro)-28(cesses;)-513(it)1(s)-453(en)28(tries)-453(ma)28(y)-453(ha)28(v)28(e)-453(th)1(e)-453(ranges)-453(\0500)]TJ/F11 9.9626 Tf 236.604 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 27.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.754 0 Td [(1\051)-453(or)]TJ -274.639 -11.955 Td [(\0501)]TJ/F11 9.9626 Tf 10.516 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F8 9.9626 Tf 24.276 0 Td [(\051)-347(according)-347(to)-347(the)-347(v)55(alu)1(e)-348(of)]TJ/F30 9.9626 Tf 119.292 0 Td [(flag)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)-486(The)-347(size)]TJ/F11 9.9626 Tf 47.231 0 Td [(mg)]TJ/F8 9.9626 Tf 17.314 0 Td [(ma)28(y)-347(b)-28(e)-347(sp)-28(ec-)]TJ -239.55 -11.955 Td [(i\014ed)-414(via)-414(the)-415(option)1(al)-415(argumen)28(t)]TJ/F30 9.9626 Tf 142.427 0 Td [(mg)]TJ/F8 9.9626 Tf 10.461 0 Td 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[(;)-373(the)-361(default)-360(is)-360(to)-360(use)-360(the)-360(en)28(tire)-361(v)28(ector)]TJ/F30 9.9626 Tf 173.727 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-367(th)28(us)-360(ha)28(ving)]TJ/F30 9.9626 Tf -239.499 -11.955 Td [(nl=size\050vl\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-419(If)]TJ/F30 9.9626 Tf 16.133 0 Td [(globalcheck=.true.)]TJ/F8 9.9626 Tf 96.698 0 Td [(the)-256(subroutine)-256(will)-256(c)27(hec)28(k)-256(ho)28(w)]TJ -170.365 -11.955 Td [(man)28(y)-255(times)-255(eac)28(h)-254(en)27(try)-254(in)-255(the)-254(global)-255(index)-254(s)-1(p)1(ac)-1(e)-254(\0501)]TJ/F11 9.9626 Tf 217.24 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F8 9.9626 Tf 27.14 0 Td [(\051)-255(is)-254(sp)-28(eci\014ed)]TJ -244.38 -11.955 Td [(in)-331(the)-331(input)-331(lists)]TJ/F30 9.9626 Tf 75.842 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-331(th)27(us)-331(all)1(o)27(wing)-331(for)-331(t)1(he)-331(prese)-1(n)1(c)-1(e)-331(of)-330(o)27(v)28(erlap)-331(in)-331(the)]TJ -86.303 -11.956 Td [(input,)-338(and)-337(c)28(hec)27(king)-337(for)-337(\134orphan")-337(indices.)-456(If)]TJ/F30 9.9626 Tf 194.743 0 Td [(globalcheck=.false.)]TJ/F8 9.9626 Tf 99.376 0 Td [(,)]TJ -294.119 -11.955 Td [(the)-409(s)-1(u)1(broutine)-410(will)-409(not)-410(c)28(hec)28(k)-410(for)-409(o)28(v)27(erlap,)-428(and)-409(ma)27(y)-409(b)-28(e)-409(signi\014can)27(tly)]TJ 0 -11.955 Td [(faster,)-362(but)-357(the)-357(user)-356(is)-357(implicitly)-357(gu)1(aran)27(teeing)-356(that)-357(there)-357(ar)1(e)-357(neither)]TJ 0 -11.955 Td [(orphan)-333(nor)-333(o)27(v)28(erlap)-333(indices.)]TJ 0 g 0 G -/F8 9.9626 Tf 21.157 0 Td [(the)-333(\014rst)-334(ro)28(w)-333(to)-334(b)-27(e)-334(inserted.)]TJ 3.75 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(scalar.)]TJ +/F27 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -22.903 Td [(ia)]TJ +/F8 9.9626 Tf 23.758 0 Td [(The)-463(optional)-462(argumen)28(t)]TJ/F30 9.9626 Tf 107.67 0 Td [(lidx)]TJ/F8 9.9626 Tf 25.531 0 Td [(is)-463(a)28(v)56(ailable)-463(for)-462(those)-463(cases)-463(in)-463(whi)1(c)27(h)]TJ -135.041 -11.955 Td [(the)-446(user)-446(has)-446(already)-446(established)-446(a)-446(global-to-lo)-28(cal)-446(mapping;)-502(if)-446(it)-446(is)]TJ 0 -11.955 Td [(sp)-28(eci\014ed,)-373(eac)28(h)-365(index)-365(in)]TJ/F30 9.9626 Tf 105.175 0 Td [(vl\050i\051)]TJ/F8 9.9626 Tf 29.789 0 Td [(will)-365(b)-28(e)-365(mapp)-28(ed)-365(to)-365(the)-365(corresp)-27(onding)]TJ -134.964 -11.955 Td [(lo)-28(cal)-392(index)]TJ/F30 9.9626 Tf 51.539 0 Td [(lidx\050i\051)]TJ/F8 9.9626 Tf 36.613 0 Td [(.)-621(When)-392(sp)-28(ecifying)-392(the)-392(argumen)28(t)]TJ/F30 9.9626 Tf 148.368 0 Td [(lidx)]TJ/F8 9.9626 Tf 24.828 0 Td [(the)-392(user)]TJ -261.348 -11.956 Td [(w)28(ould)-420(also)-420(lik)28(ely)-419(e)-1(mpl)1(o)27(y)]TJ/F30 9.9626 Tf 113.086 0 Td [(lidx)]TJ/F8 9.9626 Tf 25.103 0 Td [(in)-420(calls)-419(to)]TJ/F30 9.9626 Tf 48.576 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf 51.254 0 Td [(and)]TJ/F30 9.9626 Tf 20.232 0 Td [(local)]TJ/F8 9.9626 Tf 30.333 0 Td [(in)]TJ -288.584 -11.955 Td [(calls)-333(to)]TJ/F30 9.9626 Tf 34.371 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 50.394 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(psb_geins)]TJ/F8 9.9626 Tf 47.073 0 Td [(;)-333(see)-334(also)-333(sec.)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.3.1)]TJ 0 g 0 G -/F8 9.9626 Tf 13.734 0 Td [(the)-333(ro)28(w)-334(indices)-333(of)-333(the)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 11.173 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ + [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -196.938 -22.903 Td [(irp)]TJ +/F27 9.9626 Tf -173.128 -15.593 Td [(nl)]TJ 0 g 0 G -/F8 9.9626 Tf 19.248 0 Td [(the)-333(ro)28(w)-334(p)-28(oin)28(ters)-333(of)-333(the)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 5.659 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td 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9.9626 Tf 128.85 0 Td [(ja)]TJ/F8 9.9626 Tf 10.461 0 Td [(.)]TJ -138.162 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.547 0 Td [(nz)]TJ/F8 9.9626 Tf 11.052 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -208.506 -20.465 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.344 Td [(desc)]TJ ET q -1 0 0 1 172.619 472.14 cm +1 0 0 1 172.619 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 471.94 Td [(a)]TJ +/F27 9.9626 Tf 176.057 168.146 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.51 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(up)-28(dated)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 424.319 cm +1 0 0 1 362.845 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 332.415 424.12 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 120.326 Td [(desc)]TJ ET q -1 0 0 1 353.964 424.319 cm +1 0 0 1 387.532 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 357.102 424.12 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -227.318 -31.349 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -20.59 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.176 -18.862 Td [(1.)]TJ -0 g 0 G - [-500(On)-487(en)28(try)-487(to)-488(this)-487(routine)-487(the)-487(descriptor)-487(ma)28(y)-488(b)-27(e)-488(in)-487(either)-487(the)-487(build)-487(or)]TJ 12.73 -11.955 Td [(assem)28(bled)-334(state.)]TJ -0 g 0 G - -12.73 -19.394 Td [(2.)]TJ -0 g 0 G - [-500(On)-363(en)28(try)-363(to)-362(this)-363(routine)-362(the)-363(sparse)-363(matrix)-363(ma)28(y)-363(b)-27(e)-363(in)-363(either)-362(the)-363(build)-363(or)]TJ 12.73 -11.955 Td [(up)-28(date)-333(state.)]TJ -0 g 0 G - -12.73 -19.394 Td [(3.)]TJ -0 g 0 G - [-500(If)-230(the)-231(descriptor)-230(is)-231(in)-230(the)-231(build)-230(state,)-251(then)-231(the)-230(sparse)-231(matrix)-230(m)28(ust)-231(also)-230(b)-28(e)-231(in)]TJ 12.73 -11.955 Td [(the)-327(build)-327(state;)-329(the)-328(action)-327(of)-327(the)-327(routine)-327(is)-327(to)-327(\050implicitly\051)-327(call)]TJ/F30 9.9626 Tf 271.732 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.732 -11.956 Td [(to)-419(add)-419(en)28(tries)-419(to)-419(the)-418(sparsit)27(y)-418(pattern;)-462(eac)28(h)-419(sparse)-419(matrix)-419(en)28(try)-419(implic-)]TJ 0 -11.955 Td [(itly)-360(d)1(e)-1(\014)1(nes)-360(a)-360(graph)-359(edge,)-366(that)-360(is)-359(passed)-360(to)-359(the)-360(descriptor)-359(routine)-360(for)-359(the)]TJ 0 -11.955 Td [(appropriate)-333(pro)-28(cessing;)]TJ -0 g 0 G - -12.73 -19.394 Td [(4.)]TJ -0 g 0 G - [-500(The)-333(input)-334(data)-333(can)-333(b)-28(e)-333(passed)-334(in)-333(either)-333(COO)-334(or)-333(CSR)-333(formats;)]TJ -0 g 0 G - 0 -19.394 Td [(5.)]TJ +/F30 9.9626 Tf 390.67 120.326 Td [(type)]TJ 0 g 0 G - [-500(In)-368(COO)-367(format)-368(the)-367(co)-28(e\016cien)28(ts)-368(to)-368(b)-27(e)-368(inserted)-368(are)-367(represen)28(te)-1(d)-367(b)28(y)-368(the)-367(or-)]TJ 12.73 -11.955 Td [(dered)-358(triples)]TJ/F11 9.9626 Tf 58.163 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051,)-364(for)]TJ/F11 9.9626 Tf 25.762 0 Td [(i)]TJ/F8 9.9626 Tf 6.607 0 Td [(=)-319(1)]TJ/F11 9.9626 Tf 15.906 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(nz)]TJ/F8 9.9626 Tf 33.19 0 Td [(;)-370(these)-358(triples)-358(should)-358(b)-28(e-)]TJ -210.411 -11.955 Td [(long)-384(to)-385(the)-384(curren)27(t)-384(pro)-28(cess,)-397(i.e.)]TJ/F11 9.9626 Tf 144.426 0 Td [(ia)]TJ/F8 9.9626 Tf 8.699 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-384(s)-1(h)1(ould)-385(b)-28(e)-384(one)-385(of)-384(the)-384(lo)-28(cal)-385(indices,)]TJ -160.431 -11.955 Td [(but)-333(are)-334(otherwise)-333(arbitrary;)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - 141.968 -29.888 Td [(78)]TJ + -94.013 -29.888 Td [(74)]TJ 0 g 0 G ET endstream endobj -1401 0 obj +1407 0 obj << -/Length 3795 +/Length 3156 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 112.072 706.129 Td [(6.)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G - [-500(In)-497(CS)1(R)-497(format)-496(the)-497(co)-28(e\016cien)28(ts)-497(to)-496(b)-28(e)-497(inserted)-496(for)-497(eac)28(h)-496(input)-497(ro)28(w)]TJ/F11 9.9626 Tf 314.876 0 Td [(i)]TJ/F8 9.9626 Tf 8.91 0 Td [(=)]TJ -311.056 -11.955 Td [(1)]TJ/F11 9.9626 Tf 4.981 0 Td [(;)-167(nr)]TJ/F8 9.9626 Tf 18.296 0 Td [(are)-313(represen)28(ted)-313(b)28(y)-313(the)-313(ordered)-313(triples)-313(\050)]TJ/F11 9.9626 Tf 169.802 0 Td [(i)]TJ/F8 9.9626 Tf 5.238 0 Td [(+)]TJ/F11 9.9626 Tf 9.555 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 17.41 0 Td [(\000)]TJ/F8 9.9626 Tf 9.555 0 Td [(1\051)]TJ/F11 9.9626 Tf 8.855 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(j)]TJ/F8 9.9626 Tf 4.673 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(j)]TJ/F8 9.9626 Tf 4.672 0 Td [(\051,)-317(for)]TJ/F11 9.9626 Tf -297.077 -11.955 Td [(j)]TJ/F8 9.9626 Tf 8.598 0 Td [(=)]TJ/F11 9.9626 Tf 11.674 0 Td [(ir)-28(p)]TJ/F8 9.9626 Tf 13.217 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(ir)-28(p)]TJ/F8 9.9626 Tf 35.355 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 6.11 0 Td [(+)-269(1\051)]TJ/F14 9.9626 Tf 21.958 0 Td [(\000)]TJ/F8 9.9626 Tf 10.426 0 Td [(1;)-438(these)-403(triples)-403(should)-403(b)-28(elong)-403(to)-403(the)-403(curren)28(t)]TJ -122.393 -11.956 Td [(pro)-28(cess,)-272(i.e.)]TJ/F11 9.9626 Tf 53.793 0 Td [(i)]TJ/F8 9.9626 Tf 4.124 0 Td [(+)]TJ/F11 9.9626 Tf 8.44 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 16.295 0 Td [(\000)]TJ/F8 9.9626 Tf 8.44 0 Td [(1)-257(should)-257(b)-27(e)-257(one)-257(of)-257(the)-257(lo)-28(cal)-257(indices,)-272(but)-257(are)-257(otherwise)]TJ -91.092 -11.955 Td [(arbitrary;)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - -12.73 -19.925 Td [(7.)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ 0 g 0 G - [-500(There)-386(is)-385(no)-386(requiremen)28(t)-386(that)-386(a)-385(giv)28(en)-386(ro)28(w)-386(m)28(ust)-386(b)-28(e)-385(passe)-1(d)-385(in)-386(its)-385(e)-1(n)28(tiret)28(y)]TJ 12.73 -11.955 Td [(to)-355(a)-354(single)-355(call)-354(to)-355(this)-354(routine:)-487(the)-355(buildup)-354(of)-355(a)-354(ro)28(w)-355(ma)28(y)-355(b)-28(e)-354(split)-355(in)28(to)-354(as)]TJ 0 -11.955 Td [(man)28(y)-334(calls)-333(as)-333(desired)-334(\050ev)28(en)-333(in)-333(the)-334(CSR)-333(format\051;)]TJ +/F8 9.9626 Tf 16.916 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(starting)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.991 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ 0 g 0 G - -12.73 -19.926 Td [(8.)]TJ +/F27 9.9626 Tf -208.506 -19.925 Td [(jla)]TJ 0 g 0 G - [-500(Co)-28(e\016cien)28(ts)-409(from)-410(di\013eren)28(t)-409(ro)28(ws)-410(ma)28(y)-409(also)-409(b)-28(e)-409(mixed)-410(up)-409(freely)-409(in)-409(a)-410(single)]TJ 12.73 -11.955 Td [(call,)-333(according)-334(to)-333(the)-333(application)-333(nee)-1(d)1(s)-1(;)]TJ +/F8 9.9626 Tf 17.234 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.673 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ/F16 11.9552 Tf -208.506 -21.918 Td [(Notes)]TJ 0 g 0 G - -12.73 -19.925 Td [(9.)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(An)28(y)-416(co)-28(e\016cien)28(ts)-416(from)-416(matrix)-416(ro)28(ws)-416(not)-416(o)28(wned)-416(b)28(y)-416(the)-416(calling)-416(pro)-28(cess)-416(are)]TJ 12.73 -11.955 Td [(silen)28(tly)-334(ign)1(ored;)]TJ + [-500(This)-333(routine)-334(ma)28(y)-333(only)-333(b)-28(e)-334(called)-333(if)-333(the)-333(des)-1(crip)1(tor)-334(is)-333(in)-333(the)-334(build)-333(state;)]TJ 0 g 0 G - -17.711 -19.926 Td [(10.)]TJ + 0 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(If)-358(the)-359(descriptor)-358(is)-359(in)-358(the)-359(assem)28(bled)-359(state,)-364(then)-359(an)28(y)-359(en)28(tries)-358(in)-359(the)-358(sparse)]TJ 17.711 -11.955 Td [(matrix)-430(that)-429(w)27(ould)-429(generate)-430(additional)-430(comm)28(unication)-430(requiremen)28(ts)-430(are)]TJ 0 -11.955 Td [(ignored;)]TJ + [-500(This)-305(r)1(o)-1(u)1(tine)-305(automatically)-304(ignores)-305(edges)-305(that)-304(do)-305(not)-304(insist)-305(on)-304(the)-305(curren)28(t)]TJ 12.73 -11.955 Td [(pro)-28(cess,)-284(i.e)-1(.)-424(edges)-272(for)-273(whic)28(h)-272(neither)-273(the)-272(starting)-272(nor)-273(the)-272(end)-273(v)28(ertex)-272(b)-28(elong)]TJ 0 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ 0 g 0 G - -17.711 -19.925 Td [(11.)]TJ + -12.73 -19.926 Td [(3.)]TJ +0 g 0 G + [-500(The)-437(second)-438(form)-437(of)-437(this)-437(routine)-437(will)-438(b)-27(e)-438(useful)-437(when)-437(dealing)-437(with)-438(user-)]TJ 12.73 -11.955 Td [(sp)-28(eci\014ed)-333(index)-333(mappings;)-334(see)-333(also)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.)1(3.1)]TJ 0 g 0 G - [-500(If)-308(the)-309(matrix)-309(is)-308(in)-309(the)-308(up)-28(date)-309(state,)-313(an)28(y)-309(en)28(tries)-309(in)-308(p)-28(ositions)-309(th)1(at)-309(w)28(ere)-309(not)]TJ 17.711 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ + [(.)]TJ 0 g 0 G - 141.968 -384.558 Td [(79)]TJ + 141.968 -314.819 Td [(75)]TJ 0 g 0 G ET endstream endobj -1414 0 obj +1416 0 obj << -/Length 6648 +/Length 6223 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.3)-1125(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 202.396 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]TJ +/F16 11.9552 Tf 206.431 706.129 Td [(cdasb)-250(|)-250(Comm)31(unication)-250(descriptor)-250(assem)31(bly)-250(rou-)]TJ -25.091 -13.948 Td [(tine)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info,)-525(afmt,)-525(upd,)-525(dupl,)-525(mold\051)]TJ +/F30 9.9626 Tf -30.635 -18.389 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.202 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.638 Td [(desc)]TJ + 0 -19.926 Td [(desc)]TJ ET q -1 0 0 1 172.619 627.46 cm +1 0 0 1 172.619 612.223 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 627.261 Td [(a)]TJ +/F27 9.9626 Tf 176.057 612.023 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 362.845 564.402 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 365.983 564.203 Td [(desc)]TJ +ET +q +1 0 0 1 387.532 564.402 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 390.67 564.203 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -260.887 -19.925 Td [(mold)]TJ +0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(index)-334(storage.)]TJ -4.899 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(a)-222(ob)-56(ject)-222(of)-222(t)28(yp)-28(e)-222(deriv)28(e)-1(d)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 219.871 0 Td [(psb)]TJ +ET +q +1 0 0 1 411.8 496.656 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 414.939 496.457 Td [(T)]TJ +ET +q +1 0 0 1 420.797 496.656 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 423.935 496.457 Td [(base)]TJ +ET +q +1 0 0 1 445.484 496.656 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 448.622 496.457 Td [(vect)]TJ +ET +q +1 0 0 1 470.171 496.656 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 473.309 496.457 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -343.526 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 454.813 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 454.614 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 579.639 cm +1 0 0 1 362.845 406.992 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 365.983 406.793 Td [(desc)]TJ +ET +q +1 0 0 1 387.532 406.992 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 579.44 Td [(desc)]TJ +/F30 9.9626 Tf 390.67 406.793 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -260.887 -19.925 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(assem)28(bled)-334(state.)]TJ -12.176 -19.925 Td [(This)-350(call)-350(will)-349(set)-350(up)-350(all)-350(the)-349(neces)-1(sary)-349(information)-350(for)-350(the)-349(halo)-350(data)-350(exc)28(hanges.)]TJ 0 -11.955 Td [(In)-432(doing)-432(so,)-457(the)-432(library)-432(will)-432(need)-433(to)-432(iden)28(tify)-432(the)-432(set)-432(of)-432(pro)-28(cesses)-433(o)28(wning)-432(the)]TJ 0 -11.956 Td [(halo)-476(indices)-477(through)-476(the)-477(use)-476(of)-477(the)]TJ/F30 9.9626 Tf 164.817 0 Td [(desc%fnd_owner\050\051)]TJ/F8 9.9626 Tf 88.433 0 Td [(metho)-28(d;)-548(the)-476(o)28(wning)]TJ -253.25 -11.955 Td [(pro)-28(cesses)-365(are)-365(the)-365(top)-27(ological)-365(neigh)28(b)-28(ours)-365(of)-365(the)-365(calling)-365(p)1(ro)-28(cess.)-539(If)-365(the)-365(user)-365(has)]TJ 0 -11.955 Td [(some)-228(bac)28(kground)-228(information)-228(on)-228(the)-228(pro)-28(cesses)-228(that)-228(are)-228(neigh)28(b)-28(ours)-228(of)-228(the)-228(curren)28(t)]TJ 0 -11.955 Td [(one,)-533(it)-494(i)1(s)-494(p)-28(ossible)-493(to)-493(sp)-28(ecify)-493(explicitly)-493(the)-494(list)-493(of)-493(adjacen)27(t)-493(pro)-27(c)-1(esses)-493(with)-493(a)]TJ 0 -11.955 Td [(call)-393(to)]TJ/F30 9.9626 Tf 31.633 0 Td [(desc%set_p_adjcncy\050list\051)]TJ/F8 9.9626 Tf 125.528 0 Td [(;)-423(this)-393(will)-393(sp)-28(eed)-393(up)-393(the)-393(subsequen)27(t)-393(call)-393(to)]TJ/F30 9.9626 Tf -157.161 -11.956 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 47.073 0 Td [(.)]TJ +0 g 0 G + 119.801 -103.154 Td [(76)]TJ +0 g 0 G +ET + +endstream +endobj +1423 0 obj +<< +/Length 3287 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(6.4)-1125(psb)]TJ ET q -1 0 0 1 387.532 579.639 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 151.587 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 390.67 579.44 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.639 Td [(afm)32(t)]TJ +/F16 11.9552 Tf 155.621 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ 0 g 0 G -/F8 9.9626 Tf 27.736 0 Td [(the)-333(storage)-334(format)-333(for)-333(the)-334(sparse)-333(matrix.)]TJ -2.829 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(arra)28(y)-333(of)-334(c)28(haracters.)-444(Defalt:)-445('CSR'.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.639 Td [(up)-32(d)]TJ +/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ 0 g 0 G -/F8 9.9626 Tf 24.394 0 Td [(Pro)28(vide)-334(f)1(or)-334(up)-27(dates)-334(to)-333(the)-334(matri)1(x)-334(co)-28(e\016cien)28(ts.)]TJ 0.513 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(in)27(teger,)-333(p)-28(ossible)-333(v)55(alues:)]TJ/F30 9.9626 Tf 164.632 0 Td [(psb_upd_srch_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf 6.088 0 Td [(psb_upd_perm_)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F27 9.9626 Tf -263.622 -19.639 Td [(dupl)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.696 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf -316.037 -11.955 Td [(psb_dupl_err_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]TJ +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F27 9.9626 Tf -92.901 -19.639 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 395.279 297.847 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 121.81 626.17 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 398.417 297.647 Td [(T)]TJ +/F27 9.9626 Tf 125.247 625.971 Td [(in)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -14.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 404.275 297.847 cm +1 0 0 1 312.036 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 407.413 297.647 Td [(base)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 428.962 297.847 cm +1 0 0 1 336.723 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 432.101 297.647 Td [(sparse)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 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[(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.347 -19.638 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.201 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 166.874 -29.888 Td [(80)]TJ -0 g 0 G -ET - -endstream -endobj -1418 0 obj -<< -/Length 2248 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ -0 g 0 G - [-500(On)-406(en)28(try)-406(to)-406(this)-406(routine)-406(the)-406(descriptor)-406(m)28(ust)-406(b)-28(e)-406(in)-406(the)-406(assem)28(bled)-406(state)-1(,)]TJ 12.73 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[(,)-246(then)-224(subsequen)28(t)-224(calls)-224(to)]TJ/F30 9.9626 Tf 108.951 0 Td [(psb_spins)]TJ/F8 9.9626 Tf -271.731 -11.956 Td [(to)-246(up)-28(date)-246(the)-246(matrix)-246(m)28(ust)-246(b)-28(e)-246(arranged)-246(in)-246(suc)28(h)-246(a)-246(w)28(a)27(y)-246(as)-246(to)-246(pro)-27(duce)-246(exactly)]TJ 0 -11.955 Td [(the)-228(same)-229(sequence)-228(of)-228(co)-28(e\016cien)28(t)-229(v)56(alues)-228(as)-229(encoun)28(tered)-228(at)-229(the)-228(\014rst)-228(assem)28(bly;)]TJ -0 g 0 G - -12.73 -19.925 Td [(5.)]TJ -0 g 0 G - [-500(The)-333(output)-334(storage)-333(format)-333(need)-334(not)-333(b)-28(e)-333(the)-333(same)-334(on)-333(all)-333(pro)-28(cesses;)]TJ -0 g 0 G - 0 -19.925 Td [(6.)]TJ +/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ 0 g 0 G - [-500(On)-370(exit)-370(from)-370(this)-370(routine)-370(the)-370(matrix)-370(is)-370(in)-370(the)-370(assem)28(bled)-370(state,)-379(and)-370(th)27(us)]TJ 12.73 -11.956 Td [(is)-333(suitable)-334(for)-333(the)-333(computational)-334(r)1(outines.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -444.333 Td [(81)]TJ + 141.968 -330.303 Td [(77)]TJ 0 g 0 G ET endstream endobj -1430 0 obj +1428 0 obj << -/Length 3084 +/Length 2253 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.5)-1125(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 202.396 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(spfree)-375(|)-375(F)94(rees)-375(a)-375(sparse)-375(matrix)]TJ +/F16 11.9552 Tf 206.431 706.129 Td [(cdfree)-375(|)-375(F)94(rees)-375(a)-375(comm)31(unication)-375(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spfree\050a,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -16288,188 +16346,200 @@ BT /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(freed.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.95 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.914 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 578.15 Td [(Tspmat)]TJ -ET -q -1 0 0 1 397.993 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 401.131 578.15 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -271.347 -19.925 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 558.424 cm +1 0 0 1 172.619 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 558.225 Td [(a)]TJ +/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(to)-334(b)-27(e)-334(freed.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 510.604 cm +1 0 0 1 362.845 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 510.405 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ ET q -1 0 0 1 387.532 510.604 cm +1 0 0 1 387.532 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 510.405 Td [(type)]TJ +/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(info)]TJ 0 g 0 G /F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -330.303 Td [(82)]TJ + 141.968 -398.049 Td [(78)]TJ 0 g 0 G ET endstream endobj -1436 0 obj +1434 0 obj << -/Length 3991 +/Length 5932 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(6.6)-1125(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 151.587 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(sprn)-391(|)-391(Reinit)-391(sparse)-391(matrix)-391(structure)-391(for)-391(psblas)-391(rou-)]TJ -25.091 -13.948 Td [(tines.)]TJ +/F16 11.9552 Tf 155.621 706.129 Td [(cdbldext)-597(|)-597(Build)-597(an)-598(extended)-597(comm)31(unication)]TJ -25.091 -13.948 Td [(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ +/F30 9.9626 Tf -30.635 -19.114 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F8 9.9626 Tf 14.944 -23.476 Td [(This)-298(subroutine)-297(builds)-298(an)-297(extended)-298(comm)28(unication)-298(descriptor,)-305(based)-297(on)-298(the)]TJ -14.944 -11.955 Td [(input)-389(descriptor)]TJ/F30 9.9626 Tf 74.288 0 Td [(desc_a)]TJ/F8 9.9626 Tf 35.261 0 Td [(and)-389(on)-390(the)-389(stencil)-389(s)-1(p)-27(eci\014ed)-390(through)-389(the)-389(input)-390(sparse)]TJ -109.549 -11.956 Td [(matrix)]TJ/F30 9.9626 Tf 32.407 0 Td [(a)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -37.637 -21.094 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -21.483 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(a)]TJ + 0 -21.484 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(A)-333(sparse)-334(matrix)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 101.176 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -109.893 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(t)27(yp)-27(e.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.484 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 504.47 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 504.27 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(reinitialized.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 564.402 cm +1 0 0 1 312.036 456.649 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 564.203 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 456.45 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 564.402 cm +1 0 0 1 347.183 456.649 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 564.203 Td [(type)]TJ +/F30 9.9626 Tf 350.322 456.45 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.348 -19.925 Td [(desc)]TJ +/F27 9.9626 Tf -271.348 -21.484 Td [(nl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(additional)-333(la)28(y)27(ers)-333(desired.)]TJ 10.378 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F11 9.9626 Tf 130.428 0 Td [(nl)]TJ/F14 9.9626 Tf 11.916 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0.)]TJ +0 g 0 G +/F27 9.9626 Tf -177.767 -21.483 Td [(ext)32(yp)-32(e)]TJ +0 g 0 G +/F8 9.9626 Tf 38.398 0 Td [(the)-333(kind)-334(of)-333(estension)-333(required.)]TJ -13.491 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 44.396 0 Td [(.)]TJ -69.579 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-419(as:)-616(an)-420(in)28(teger)-419(v)55(alue)]TJ/F30 9.9626 Tf 135.566 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 7.159 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)-441(default:)]TJ/F30 9.9626 Tf -278.714 -11.955 Td [(psb_ovt_xhal_)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -23.476 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -21.484 Td [(desc)]TJ ET q -1 0 0 1 121.81 544.477 cm +1 0 0 1 121.81 261.126 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 544.278 Td [(a)]TJ +/F27 9.9626 Tf 125.247 260.927 Td [(out)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 21.53 0 Td [(the)-333(extended)-334(comm)28(unication)-333(descriptor.)]TJ -21.975 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 496.656 cm +1 0 0 1 312.036 213.305 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 496.457 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 213.106 Td [(desc)]TJ ET q -1 0 0 1 336.723 496.656 cm +1 0 0 1 336.723 213.305 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 496.457 Td [(type)]TJ +/F30 9.9626 Tf 339.861 213.106 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(clear)]TJ +/F27 9.9626 Tf -260.887 -21.484 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 28.795 0 Td [(Cho)-28(ose)-333(whether)-334(to)-333(zero)-333(out)-334(matrix)-333(co)-28(e\016cien)28(ts)]TJ -3.888 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)-444(true.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -23.476 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 166.875 -29.888 Td [(79)]TJ +0 g 0 G +ET + +endstream +endobj +1439 0 obj +<< +/Length 1587 +>> +stream 0 g 0 G 0 g 0 G - 0 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +BT +/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ + [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.092 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 70.801 0 Td [(for)-282(the)]TJ/F30 9.9626 Tf 31.376 0 Td [(extype)]TJ/F8 9.9626 Tf 34.189 0 Td [(argumen)28(t)-282(the)-282(u)1(s)-1(er)-281(will)-282(obtain)-281(a)]TJ -183.728 -11.955 Td [(descriptor)-258(for)-257(a)-258(domain)-257(partition)-258(in)-257(whic)28(h)-258(the)-257(additional)-258(la)28(y)28(ers)-258(are)-257(fetc)27(hed)]TJ 0 -11.955 Td [(as)-415(part)-415(of)-415(an)-415(\050extended\051)-415(halo;)-456(ho)28(w)27(ev)28(er)-415(the)-415(index-to-pro)-28(cess)-415(mapping)-415(is)]TJ 0 -11.956 Td [(iden)28(tical)-334(to)-333(that)-333(of)-333(the)-334(base)-333(descriptor;)]TJ 0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(up)-28(date)-333(s)-1(tat)1(e)-1(.)]TJ + -12.73 -19.925 Td [(2.)]TJ +0 g 0 G + [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.957 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 71.666 0 Td [(for)-368(the)]TJ/F30 9.9626 Tf 33.108 0 Td [(extype)]TJ/F8 9.9626 Tf 35.053 0 Td [(argumen)28(t)-369(the)-368(user)-369(will)-368(obtain)]TJ -188.054 -11.955 Td [(a)-458(descriptor)-459(with)-458(an)-458(o)28(v)27(erlapp)-27(ed)-459(decomp)-28(osition:)-694(the)-458(additional)-458(la)27(y)28(er)-458(is)]TJ 0 -11.955 Td [(aggregated)-413(to)-413(the)-414(l)1(o)-28(cal)-413(sub)-28(domain)-413(\050and)-413(th)27(u)1(s)-414(is)-413(an)-413(o)28(v)28(erlap\051,)-433(and)-413(a)-414(new)]TJ 0 -11.955 Td [(halo)-333(extending)-334(b)-27(ey)27(ond)-333(the)-333(last)-334(ad)1(ditional)-334(la)28(y)28(er)-333(is)-334(formed.)]TJ 0 g 0 G - 154.698 -206.766 Td [(83)]TJ + 141.968 -524.035 Td [(80)]TJ 0 g 0 G ET endstream endobj -1443 0 obj +1447 0 obj << -/Length 5111 +/Length 4897 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(6.7)-1125(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 151.587 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geall)-375(|)-375(Allo)-31(cates)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 155.621 706.129 Td [(spall)-375(|)-375(Allo)-31(cates)-375(a)-375(sparse)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ +/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -16481,437 +16551,463 @@ BT 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 626.17 cm +1 0 0 1 121.81 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ +/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 578.35 cm +1 0 0 1 312.036 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 332.415 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 353.964 578.35 cm +1 0 0 1 336.723 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 357.102 578.15 Td [(type)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.318 -31.88 Td [(n)]TJ -0 g 0 G -/F8 9.9626 Tf 11.346 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(columns)-334(of)-333(the)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)27(t)-342(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.111 0 Td [(is)-343(a)]TJ -303.71 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(lb)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(nnz)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(The)-489(lo)28(w)27(er)-489(b)-27(ound)-489(for)-489(the)-490(colu)1(m)-1(n)-489(ind)1(e)-1(x)-489(range)-489(of)-489(the)-489(dense)-489(matrix)-489(to)-489(b)-28(e)]TJ 10.377 -11.955 Td [(allo)-28(cated.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)27(t)-342(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.111 0 Td [(is)-343(a)]TJ -303.71 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 22.804 0 Td [(An)-309(estimate)-309(of)-308(the)-309(n)28(um)28(b)-28(er)-309(of)-309(nonzero)-27(es)-309(in)-309(the)-309(lo)-28(cal)-308(part)-309(of)-309(the)-308(as)-1(sem)28(bled)]TJ 2.103 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.925 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 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Tf 89.969 0 Td [(psb)]TJ -ET -q -1 0 0 1 281.898 293.418 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 285.037 293.219 Td [(T)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 290.895 293.418 cm +1 0 0 1 312.036 408.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 294.033 293.219 Td [(vect)]TJ +/F30 9.9626 Tf 315.174 408.786 Td [(Tspmat)]TJ ET q -1 0 0 1 315.582 293.418 cm +1 0 0 1 347.183 408.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 318.72 293.219 Td [(type)]TJ +/F30 9.9626 Tf 350.322 408.786 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.348 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(build)-334(state.)]TJ +0 g 0 G + 0 -19.926 Td [(2.)]TJ 0 g 0 G -/F27 9.9626 Tf -188.936 -31.88 Td [(info)]TJ + [-500(The)-333(descriptor)-334(ma)28(y)-333(b)-28(e)-333(in)-334(either)-333(the)-333(build)-333(or)-334(assem)28(bled)-333(state.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ + 0 -19.925 Td [(3.)]TJ +0 g 0 G + [-500(Pro)28(viding)-307(a)-308(go)-27(o)-28(d)-307(es)-1(timate)-307(for)-307(the)-307(n)27(um)28(b)-28(er)-307(of)-307(nonzero)-28(es)]TJ/F11 9.9626 Tf 254.288 0 Td [(nnz)]TJ/F8 9.9626 Tf 20.092 0 Td [(in)-307(the)-308(assem-)]TJ -261.65 -11.955 Td [(bled)-401(m)-1(atr)1(ix)-402(ma)28(y)-402(substan)28(tially)-401(impro)27(v)28(e)-401(p)-28(erformance)-402(in)-401(the)-402(matrix)-401(build)]TJ 0 -11.955 Td [(phase,)-458(as)-433(it)-432(will)-433(reduce)-433(or)-433(eliminate)-433(the)-433(need)-432(for)-433(\050p)-28(oten)28(tially)-433(m)28(ultiple\051)]TJ 0 -11.956 Td [(data)-333(reallo)-28(cations.)]TJ 0 g 0 G - 141.968 -123.08 Td [(84)]TJ + 141.968 -133.042 Td [(81)]TJ 0 g 0 G ET endstream endobj -1449 0 obj +1455 0 obj << -/Length 6817 +/Length 5716 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.8)-1125(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 202.396 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(geins)-375(|)-375(Dense)-375(matrix)-375(insertion)-375(routine)]TJ +/F16 11.9552 Tf 206.431 706.129 Td [(spins)-438(|)-437(Insert)-438(a)-437(set)-438(of)-437(co)-31(e\016cien)31(ts)-438(in)32(to)-438(a)-437(sparse)]TJ -25.091 -13.948 Td [(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,dupl,local]\051)]TJ +/F30 9.9626 Tf -30.635 -19.07 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.955 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -20.681 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -23.016 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.43 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -21.39 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.431 Td [(m)]TJ + 0 -21.389 Td [(nz)]TJ +0 g 0 G +/F8 9.9626 Tf 16.438 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.469 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(scalar.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.389 Td [(nr)]TJ +0 g 0 G +/F8 9.9626 Tf 16.065 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(ro)28(ws)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.842 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(scalar.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.389 Td [(irw)]TJ +0 g 0 G +/F8 9.9626 Tf 21.157 0 Td [(the)-333(\014rst)-334(ro)28(w)-333(to)-333(b)-28(e)-334(inserted.)]TJ 3.75 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(scalar.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.39 Td [(ia)]TJ +0 g 0 G +/F8 9.9626 Tf 13.733 0 Td [(the)-333(ro)27(w)-333(indices)-333(of)-334(th)1(e)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 11.174 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.979 0 Td [(nz)]TJ/F8 9.9626 Tf 11.052 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -196.938 -21.39 Td [(irp)]TJ +0 g 0 G +/F8 9.9626 Tf 19.247 0 Td [(the)-333(ro)27(w)-333(p)-28(oin)28(ters)-333(of)-333(the)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 5.66 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.979 0 Td [(nr)]TJ/F8 9.9626 Tf 12.966 0 Td [(+)-222(1.)]TJ +0 g 0 G +/F27 9.9626 Tf -198.852 -21.39 Td [(ja)]TJ +0 g 0 G +/F8 9.9626 Tf 14.051 0 Td [(the)-333(column)-334(indices)-333(of)-333(the)-334(co)-27(e)-1(\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 10.856 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.979 0 Td [(nz)]TJ/F8 9.9626 Tf 11.052 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws)-333(in)]TJ/F11 9.9626 Tf 84.517 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 16.942 0 Td [(to)-333(b)-28(e)-333(inserted.)]TJ -91.081 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ +/F27 9.9626 Tf -196.938 -21.39 Td [(v)64(al)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.431 Td [(irw)]TJ +/F8 9.9626 Tf 19.143 0 Td [(the)-333(co)-28(e\016cien)27(ts)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.764 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-375(as:)-528(an)-375(arra)28(y)-375(of)-375(size)]TJ/F11 9.9626 Tf 130.932 0 Td [(nz)]TJ/F8 9.9626 Tf 11.052 0 Td [(.)-570(Must)-375(b)-27(e)-376(of)-375(the)-375(same)-375(t)28(yp)-28(e)-375(and)-375(kind)-375(of)]TJ -141.984 -11.956 Td [(the)-333(co)-28(e\016cien)28(ts)-334(of)-333(the)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 158.516 0 Td [(a)]TJ/F8 9.9626 Tf 5.267 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 21.157 0 Td [(Indices)-445(of)-444(the)-444(ro)27(ws)-444(to)-445(b)-27(e)-445(inserted.)-778(Sp)-28(eci\014cally)84(,)-473(r)1(o)27(w)]TJ/F11 9.9626 Tf 237.974 0 Td [(i)]TJ/F8 9.9626 Tf 7.861 0 Td [(of)]TJ/F11 9.9626 Tf 12.453 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 18.05 0 Td [(will)-444(b)-28(e)-445(in-)]TJ -272.588 -11.955 Td [(serted)-435(in)28(to)-435(the)-436(lo)-27(cal)-436(r)1(o)27(w)-435(corresp)-28(onding)-435(to)-435(the)-435(global)-435(ro)28(w)-435(index)]TJ/F11 9.9626 Tf 289.252 0 Td [(ir)-28(w)]TJ/F8 9.9626 Tf 15.604 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)]TJ -312.163 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ + -21.816 -29.887 Td [(82)]TJ +0 g 0 G +ET + +endstream +endobj +1461 0 obj +<< +/Length 7378 +>> +stream 0 g 0 G -/F27 9.9626 Tf -24.907 -19.43 Td [(v)64(al)]TJ 0 g 0 G -/F8 9.9626 Tf 19.144 0 Td [(the)-333(dense)-334(submatrix)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(1)-333(or)-334(2)-333(arra)28(y)83(.)-444(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-334(v)56(alue.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.43 Td [(desc)]TJ +BT +/F27 9.9626 Tf 99.895 706.129 Td [(desc)]TJ ET q -1 0 0 1 121.81 414.689 cm +1 0 0 1 121.81 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 414.49 Td [(a)]TJ +/F27 9.9626 Tf 125.247 706.129 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 366.869 cm +1 0 0 1 278.467 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 366.669 Td [(desc)]TJ +/F30 9.9626 Tf 281.605 658.308 Td [(desc)]TJ ET q -1 0 0 1 336.723 366.869 cm +1 0 0 1 303.154 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 366.669 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ +/F30 9.9626 Tf 306.292 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.696 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.456 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -340.944 -19.43 Td [(lo)-32(cal)]TJ +/F27 9.9626 Tf -227.319 -31.349 Td [(lo)-32(cal)]TJ 0 g 0 G -/F8 9.9626 Tf 28.055 0 Td [(Whether)-289(the)-289(en)28(tries)-289(in)-289(the)-289(index)-288(v)27(ector)]TJ/F30 9.9626 Tf 172.769 0 Td [(irw)]TJ/F8 9.9626 Tf 15.692 0 Td [(,)-298(are)-289(already)-288(in)-289(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.609 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ +/F8 9.9626 Tf 28.055 0 Td [(Whether)-465(the)-464(en)27(tr)1(ie)-1(s)-464(in)-465(the)-465(in)1(dice)-1(s)-464(v)28(ec)-1(tor)1(s)]TJ/F30 9.9626 Tf 194.825 0 Td [(ia)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 7.724 0 Td [(ja)]TJ/F8 9.9626 Tf 15.09 0 Td [(are)-465(already)-464(in)-465(lo)-28(cal)]TJ -231.248 -11.955 Td [(n)28(um)28(b)-28(ering.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -224.575 -20.68 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -224.575 -20.589 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.43 Td [(x)]TJ + 0 -19.394 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(dense)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-232(as:)-394(a)-233(rank)-233(one)-232(or)-233(t)28(w)28(o)-233(arra)28(y)-233(or)-232(an)-233(ob)-55(ject)-233(of)-233(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(in)28(to)-333(whic)28(h)-334(co)-27(e)-1(\016cien)28(ts)-333(will)-333(b)-28(e)-334(inserted.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 241.975 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 491.534 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 491.334 Td [(Tspmat)]TJ ET q -1 0 0 1 383.096 144.435 cm +1 0 0 1 347.183 491.534 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 386.234 144.236 Td [(T)]TJ +/F30 9.9626 Tf 350.322 491.334 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.348 -19.394 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 472.14 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 471.94 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 392.092 144.435 cm +1 0 0 1 278.467 424.319 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 395.231 144.236 Td [(vect)]TJ +/F30 9.9626 Tf 281.605 424.12 Td [(desc)]TJ ET q -1 0 0 1 416.779 144.435 cm +1 0 0 1 303.154 424.319 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 419.918 144.236 Td [(type)]TJ +/F30 9.9626 Tf 306.292 424.12 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)]TJ -316.037 -11.955 Td [(of)-333(t)27(y)1(p)-28(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - 141.968 -41.843 Td [(85)]TJ +/F27 9.9626 Tf -227.319 -31.349 Td [(info)]TJ 0 g 0 G -ET - -endstream -endobj -1454 0 obj -<< -/Length 1115 ->> -stream +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -20.59 Td [(Notes)]TJ 0 g 0 G +/F8 9.9626 Tf 12.177 -18.862 Td [(1.)]TJ 0 g 0 G + [-500(On)-487(en)28(try)-487(to)-488(this)-487(routine)-487(the)-487(descriptor)-487(ma)28(y)-488(b)-27(e)-488(in)-487(either)-487(the)-487(build)-487(or)]TJ 12.73 -11.955 Td [(assem)28(bled)-334(state.)]TJ 0 g 0 G -BT -/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ + -12.73 -19.394 Td [(2.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ + [-500(On)-363(en)28(try)-362(to)-363(this)-363(routine)-362(the)-363(sparse)-363(matrix)-363(ma)28(y)-363(b)-27(e)-363(in)-363(either)-362(the)-363(build)-363(or)]TJ 12.73 -11.955 Td [(up)-28(date)-333(state.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ + -12.73 -19.394 Td [(3.)]TJ 0 g 0 G - [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ + [-500(If)-230(the)-231(descriptor)-230(is)-231(in)-230(the)-231(build)-230(state,)-251(then)-231(the)-230(sparse)-231(matrix)-230(m)28(ust)-231(also)-230(b)-28(e)-231(in)]TJ 12.73 -11.955 Td [(the)-327(build)-327(state;)-329(the)-328(action)-327(of)-327(the)-327(routine)-327(is)-327(to)-327(\050implicitly\051)-327(call)]TJ/F30 9.9626 Tf 271.731 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.731 -11.956 Td [(to)-419(add)-419(en)28(tries)-419(to)-419(th)1(e)-419(sparsit)27(y)-418(pattern;)-462(eac)28(h)-419(sparse)-419(matrix)-419(en)28(try)-419(implic-)]TJ 0 -11.955 Td 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0 l S Q BT -/F30 9.9626 Tf 299.367 486.494 Td [(vect)]TJ +/F30 9.9626 Tf 381.291 297.647 Td [(sparse)]TJ ET q -1 0 0 1 320.916 486.693 cm +1 0 0 1 413.301 297.847 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 324.054 486.494 Td [(type)]TJ +/F30 9.9626 Tf 416.439 297.647 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -245.081 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -332.235 -21.201 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.639 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(assem)28(bled.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(j)1(e)-1(ct)-333(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(assem)28(bled.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ -ET -q -1 0 0 1 205.048 385.075 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 208.186 384.875 Td [(T)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 214.044 385.075 cm +1 0 0 1 312.036 209.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 217.182 384.875 Td [(vect)]TJ +/F30 9.9626 Tf 315.174 208.986 Td [(Tspmat)]TJ ET q -1 0 0 1 238.731 385.075 cm +1 0 0 1 347.183 209.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 241.869 384.875 Td [(type)]TJ +/F30 9.9626 Tf 350.322 208.986 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.896 -31.88 Td [(info)]TJ +/F27 9.9626 Tf -271.348 -19.638 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.201 Td [(Notes)]TJ 0 g 0 G - 141.968 -214.736 Td [(87)]TJ +/F8 9.9626 Tf 166.875 -29.888 Td [(85)]TJ 0 g 0 G ET endstream endobj -1470 0 obj +1488 0 obj << -/Length 3379 +/Length 2255 >> stream 0 g 0 G 0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +BT +/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ 0 g 0 G + [-500(On)-406(en)28(try)-406(to)-406(this)-406(routine)-406(the)-406(descriptor)-406(m)28(ust)-406(b)-28(e)-406(in)-406(the)-406(assem)27(b)1(led)-406(s)-1(tate,)]TJ 12.73 -11.955 Td [(i.e.)]TJ/F30 9.9626 Tf 17.158 0 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(m)28(ust)-334(already)-333(ha)28(v)28(e)-334(b)-27(een)-334(called.)]TJ 0 g 0 G - 0 -19.925 Td [(x)]TJ + -80.282 -19.926 Td [(2.)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(free)-1(d)1(.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arr)1(a)27(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-55(jec)-1(t)-333(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ -ET -q -1 0 0 1 255.857 566.395 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 258.995 566.195 Td [(T)]TJ -ET -q -1 0 0 1 264.853 566.395 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 267.992 566.195 Td [(vect)]TJ -ET -q -1 0 0 1 289.541 566.395 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 292.679 566.195 Td [(type)]TJ + [-500(The)-333(sparse)-334(matrix)-333(ma)28(y)-334(b)-27(e)-334(in)-333(either)-333(the)-334(build)-333(or)-333(up)-28(date)-333(state;)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ + 0 -19.925 Td [(3.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.895 -31.88 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 534.514 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 534.315 Td [(a)]TJ + [-500(Duplicate)-250(en)28(tries)-250(are)-249(dete)-1(cted)-249(and)-250(handled)-250(in)-249(b)-28(oth)-250(build)-249(and)-250(up)-28(date)-249(state,)]TJ 12.73 -11.955 Td [(with)-282(the)-283(exception)-282(of)-282(the)-283(error)-282(action)-282(that)-283(is)-282(only)-282(tak)28(en)-283(in)-282(the)-282(build)-283(state,)]TJ 0 -11.955 Td [(i.e.)-444(on)-334(the)-333(\014rst)-333(asse)-1(m)28(bly;)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ -ET -q -1 0 0 1 329.276 486.693 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 332.415 486.494 Td [(desc)]TJ -ET -q -1 0 0 1 353.964 486.693 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 357.102 486.494 Td [(type)]TJ + -12.73 -19.925 Td [(4.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ + [-500(If)-224(the)-224(up)-28(date)-223(c)27(hoice)-224(is)]TJ/F30 9.9626 Tf 107.516 0 Td [(psb_upd_perm_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-246(then)-224(subsequen)28(t)-224(calls)-224(to)]TJ/F30 9.9626 Tf 108.952 0 Td [(psb_spins)]TJ/F8 9.9626 Tf -271.732 -11.956 Td [(to)-246(up)-28(date)-246(the)-246(matrix)-246(m)28(ust)-246(b)-28(e)-246(arranged)-246(in)-246(suc)28(h)-246(a)-246(w)28(a)27(y)-246(as)-246(to)-246(pro)-27(duce)-246(exactly)]TJ 0 -11.955 Td [(the)-228(same)-229(sequence)-228(of)-228(co)-28(e\016cien)27(t)-228(v)56(alues)-229(as)-228(encoun)28(tered)-228(at)-229(the)-228(\014rst)-228(assem)27(b)1(ly;)]TJ 0 g 0 G -/F27 9.9626 Tf -227.318 -33.873 Td [(On)-383(Return)]TJ + -12.73 -19.925 Td [(5.)]TJ 0 g 0 G + [-500(The)-333(output)-334(storage)-333(format)-333(need)-334(not)-333(b)-28(e)-333(the)-333(same)-334(on)-333(all)-333(pro)-28(cesses;)]TJ 0 g 0 G - 0 -19.925 Td [(info)]TJ + 0 -19.925 Td [(6.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 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[(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(reinitialized.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.95 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.914 0 Td [(psb)]TJ ET q -1 0 0 1 193.415 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 362.845 564.402 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 197.45 706.129 Td [(to)]TJ +/F30 9.9626 Tf 365.983 564.203 Td [(Tspmat)]TJ ET q -1 0 0 1 210.212 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 397.993 564.402 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 214.247 706.129 Td [(glob)-375(|)-375(Lo)-31(cal)-375(to)-375(global)-375(indices)-375(con)31(v)31(ersion)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -63.542 -18.389 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.956 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G +/F30 9.9626 Tf 401.131 564.203 Td [(type)]TJ 0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(An)-333(in)28(tege)-1(r)-333(v)28(ector)-333(of)-334(indices)-333(to)-333(b)-28(e)-334(con)28(v)28(erted.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.646 0 Td [(.)]TJ -76.131 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -271.347 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 534.514 cm +1 0 0 1 172.619 544.477 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 534.315 Td [(a)]TJ +/F27 9.9626 Tf 176.057 544.278 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 486.693 cm +1 0 0 1 362.845 496.656 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 486.494 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 496.457 Td [(desc)]TJ ET q -1 0 0 1 387.532 486.693 cm +1 0 0 1 387.532 496.656 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 486.494 Td [(type)]TJ +/F30 9.9626 Tf 390.67 496.457 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.28 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.148 0 Td [(global)]TJ/F8 9.9626 Tf -255.522 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.23 0 Td [(b)-28(ort,)-271(d)1(e)-1(f)1(ault)]TJ/F30 9.9626 Tf 56.742 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore.)]TJ -0 g 0 G -/F27 9.9626 Tf -317.116 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(clear)]TJ 0 g 0 G +/F8 9.9626 Tf 28.795 0 Td [(Cho)-28(ose)-333(whether)-333(to)-334(zero)-333(out)-333(m)-1(atr)1(ix)-334(co)-28(e\016cien)28(ts)]TJ -3.888 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)-444(true.)]TJ 0 g 0 G - 0 -19.926 Td [(x)]TJ +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.132 0 Td [(y)]TJ/F8 9.9626 Tf 8.733 0 Td [(is)-350(not)-351(presen)28(t,)-355(then)]TJ/F11 9.9626 Tf 88.587 0 Td [(x)]TJ/F8 9.9626 Tf 9.185 0 Td [(is)-350(o)27(v)28(erwritten)-350(with)-350(the)-351(translated)-350(in)28(teger)-351(indices.)]TJ -102.759 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(i)1(n)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(y)]TJ + 0 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.166 0 Td [(y)]TJ/F8 9.9626 Tf 8.767 0 Td [(is)-354(not)-354(presen)28(t,)-359(then)]TJ/F11 9.9626 Tf 88.732 0 Td [(y)]TJ/F8 9.9626 Tf 8.767 0 Td [(is)-354(o)28(v)28(erwritten)-354(with)-354(the)-354(translated)-353(in)27(teger)-353(indices,)]TJ -102.554 -11.955 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(left)-334(unc)28(hanged.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.242 0 Td [(global)]TJ/F8 9.9626 Tf -141.629 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(i)1(n)27(teger)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(t)1(e)-1(d.)]TJ + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-334(t)1(he)-334(sparse)-333(matrix)-334(is)-333(in)-333(the)-333(up)-28(date)-334(state.)]TJ 0 g 0 G - 141.968 -115.11 Td [(92)]TJ + 154.698 -206.766 Td [(88)]TJ 0 g 0 G ET endstream endobj -1496 0 obj +1513 0 obj << -/Length 3271 +/Length 5118 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 124.986 706.129 Td [(is)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(6.12)-1125(psb)]TJ ET q -1 0 0 1 134.834 706.328 cm +1 0 0 1 158.311 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 138.869 706.129 Td [(o)31(wned)-375(|)]TJ +/F16 11.9552 Tf 162.346 706.129 Td [(geall)-375(|)-375(Allo)-31(cates)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -38.974 -18.389 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ +/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(index.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(in)28(teger.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 546.469 cm +1 0 0 1 121.81 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 546.27 Td [(a)]TJ +/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 498.649 cm +1 0 0 1 278.467 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 281.605 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 498.649 cm +1 0 0 1 303.154 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 498.449 Td [(type)]TJ +/F30 9.9626 Tf 306.292 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -227.319 -31.88 Td [(n)]TJ 0 g 0 G +/F8 9.9626 Tf 11.347 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(columns)-333(of)-334(the)-333(dense)-333(m)-1(atr)1(ix)-334(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)28(t)-343(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.11 0 Td [(is)-343(a)]TJ -303.709 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ 0 g 0 G - 0 -19.926 Td [(F)96(unction)-384(v)64(alue)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(lb)]TJ 0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(A)-302(logical)-301(mask)-302(whic)28(h)-302(is)-302(t)1(rue)-302(if)]TJ/F11 9.9626 Tf 134.085 0 Td [(x)]TJ/F8 9.9626 Tf 8.699 0 Td [(is)-302(o)28(wned)-302(b)28(y)-301(the)-302(curren)28(t)-302(pro-)]TJ -196.264 -11.955 Td [(cess)-334(S)1(c)-1(op)-27(e:)]TJ/F27 9.9626 Tf 52.415 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -52.415 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ/F16 11.9552 Tf -74.942 -33.873 Td [(Notes)]TJ +/F8 9.9626 Tf 14.529 0 Td [(The)-489(lo)28(w)27(er)-489(b)-27(ound)-489(for)-489(the)-490(column)-489(index)-489(range)-489(of)-489(the)-489(dense)-489(matrix)-489(to)-489(b)-28(e)]TJ 10.378 -11.955 Td [(allo)-28(cated.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)28(t)-343(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.11 0 Td [(is)-343(a)]TJ -303.709 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(all)1(o)-28(cated.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-303(as:)-430(a)-304(rank)-303(one)-304(or)-304(t)28(w)28(o)-304(arra)28(y)-304(with)-303(the)-304(ALLOCA)83(T)83(ABLE)-303(attribute)]TJ 0 -11.955 Td [(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 89.968 0 Td [(psb)]TJ +ET +q +1 0 0 1 231.089 293.418 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 234.227 293.219 Td [(T)]TJ +ET +q +1 0 0 1 240.085 293.418 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 243.223 293.219 Td [(vect)]TJ +ET +q +1 0 0 1 264.772 293.418 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 267.911 293.219 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +0 g 0 G +/F27 9.9626 Tf -188.937 -31.88 Td [(info)]TJ 0 g 0 G - [-500(This)-300(routine)-299(returns)-300(a)]TJ/F30 9.9626 Tf 111.213 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.369 0 Td [(v)56(alue)-300(for)-300(an)-300(index)-299(that)-300(is)-300(strictly)-300(o)28(wned)-300(b)28(y)]TJ -132.852 -11.955 Td [(the)-333(curren)28(t)-334(pro)-28(cess,)-333(excluding)-333(the)-334(halo)-333(indices)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -264.549 Td [(93)]TJ + 141.968 -123.08 Td [(89)]TJ 0 g 0 G ET endstream endobj -1502 0 obj +1519 0 obj << -/Length 4983 +/Length 6852 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.13)-1125(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 209.121 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(o)31(wned)]TJ -ET -q -1 0 0 1 213.748 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 217.783 706.129 Td [(index)-375(|)]TJ +/F16 11.9552 Tf 213.156 706.129 Td [(geins)-375(|)-375(Dense)-375(matrix)-375(insertion)-375(routine)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -67.078 -18.389 Td [(call)-525(psb_owned_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,dupl,local]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -20.681 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.43 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.431 Td [(m)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(ice)-1(s.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.645 0 Td [(.)]TJ -76.131 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(or)-334(a)-333(rank)-333(one)-334(in)28(teger)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws)-333(in)]TJ/F11 9.9626 Tf 84.516 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 16.942 0 Td [(to)-333(b)-28(e)-333(inse)-1(r)1(te)-1(d)1(.)]TJ -91.081 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -24.906 -19.431 Td [(irw)]TJ +0 g 0 G +/F8 9.9626 Tf 21.157 0 Td [(Indices)-444(of)-445(the)-444(ro)27(ws)-444(to)-445(b)-27(e)-445(inserted.)-778(Sp)-28(eci\014cally)84(,)-472(ro)27(w)]TJ/F11 9.9626 Tf 237.973 0 Td [(i)]TJ/F8 9.9626 Tf 7.861 0 Td [(of)]TJ/F11 9.9626 Tf 12.454 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(will)-444(b)-28(e)-445(in-)]TJ -272.588 -11.955 Td [(serted)-435(in)28(to)-436(th)1(e)-436(lo)-27(cal)-436(ro)28(w)-435(corresp)-28(onding)-435(to)-435(the)-435(global)-435(ro)28(w)-435(index)]TJ/F11 9.9626 Tf 289.252 0 Td [(ir)-28(w)]TJ/F8 9.9626 Tf 15.605 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051.)]TJ -312.163 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.43 Td [(v)64(al)]TJ +0 g 0 G +/F8 9.9626 Tf 19.143 0 Td [(the)-333(dense)-334(submatrix)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(1)-333(o)-1(r)-333(2)-333(arra)28(y)83(.)-444(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-334(v)56(alue.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.43 Td [(desc)]TJ ET q -1 0 0 1 172.619 546.469 cm +1 0 0 1 172.619 414.689 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ +/F27 9.9626 Tf 176.057 414.49 Td [(a)]TJ 0 g 0 G /F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 498.649 cm +1 0 0 1 362.845 366.869 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 366.669 Td [(desc)]TJ ET q -1 0 0 1 387.532 498.649 cm +1 0 0 1 387.532 366.869 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 498.449 Td [(type)]TJ +/F30 9.9626 Tf 390.67 366.669 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.28 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.148 0 Td [(global)]TJ/F8 9.9626 Tf -255.522 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.23 0 Td [(b)-28(ort,)-271(d)1(e)-1(f)1(ault)]TJ/F30 9.9626 Tf 56.742 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore.)]TJ +/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ 0 g 0 G -/F27 9.9626 Tf -317.116 -21.918 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.697 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.995 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -340.944 -19.43 Td [(lo)-32(cal)]TJ 0 g 0 G - 0 -19.926 Td [(y)]TJ +/F8 9.9626 Tf 28.054 0 Td [(Whether)-289(the)-289(en)28(tries)-289(in)-289(the)-289(index)-288(v)27(ector)]TJ/F30 9.9626 Tf 172.77 0 Td [(irw)]TJ/F8 9.9626 Tf 15.691 0 Td [(,)-298(are)-289(already)-289(in)-288(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.608 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.055 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(A)-294(logical)-294(mask)-294(whic)28(h)-294(is)-294(true)-294(for)-294(all)-294(corresp)-28(onding)-294(en)28(tries)-294(of)]TJ/F11 9.9626 Tf 259.229 0 Td [(x)]TJ/F8 9.9626 Tf 8.623 0 Td [(that)-294(are)-294(o)28(wned)]TJ -253.974 -11.955 Td [(b)28(y)-334(the)-333(curren)28(t)-333(pro)-28(cess)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 132.753 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -132.752 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(or)-334(r)1(ank)-334(one)-333(logical)-333(arra)27(y)84(.)]TJ +/F27 9.9626 Tf -224.574 -20.68 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ + 0 -19.43 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(d)1(e)-1(n)1(s)-1(e)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-232(as:)-394(a)-233(rank)-233(one)-232(or)-233(t)28(w)28(o)-233(arra)28(y)-233(or)-232(an)-233(ob)-55(ject)-233(of)-233(t)28(yp)-27(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 241.975 0 Td [(psb)]TJ +ET +q +1 0 0 1 433.906 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 437.044 144.236 Td [(T)]TJ +ET +q +1 0 0 1 442.902 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 446.04 144.236 Td [(vect)]TJ +ET +q +1 0 0 1 467.589 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 470.727 144.236 Td [(type)]TJ 0 g 0 G - [-500(This)-475(routine)-474(returns)-475(a)]TJ/F30 9.9626 Tf 118.186 0 Td [(.true.)]TJ/F8 9.9626 Tf 36.112 0 Td [(v)56(alue)-475(for)-475(those)-475(indices)-474(that)-475(are)-475(strictly)]TJ -141.567 -11.955 Td [(o)28(wned)-334(b)28(y)-333(the)-333(curren)27(t)-333(pro)-28(cess,)-333(excluding)-333(the)-334(halo)-333(indices)]TJ +/F8 9.9626 Tf 20.922 0 Td [(,)]TJ -316.038 -11.955 Td [(of)-333(t)27(yp)-27(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ 0 g 0 G - 141.967 -141.013 Td [(94)]TJ + 141.968 -41.843 Td [(90)]TJ 0 g 0 G ET endstream endobj -1508 0 obj +1523 0 obj << -/Length 3240 +/Length 1111 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ +0 g 0 G + 0 -19.925 Td [(2.)]TJ +0 g 0 G + [-500(Duplicate)-292(en)28(tries)-293(are)-292(either)-292(o)28(v)28(erwritten)-292(or)-293(added,)-300(there)-292(is)-292(no)-292(pro)27(vision)-292(for)]TJ 12.73 -11.955 Td [(raising)-333(an)-334(error)-333(condition.)]TJ +0 g 0 G + 141.968 -494.147 Td [(91)]TJ +0 g 0 G ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q + +endstream +endobj +1533 0 obj +<< +/Length 5226 +>> +stream +0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 124.986 706.129 Td [(is)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.14)-1125(psb)]TJ ET q -1 0 0 1 134.834 706.328 cm +1 0 0 1 209.121 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 138.869 706.129 Td [(lo)-31(cal)-375(|)]TJ +/F16 11.9552 Tf 213.156 706.129 Td [(geasb)-375(|)-375(Assem)31(bly)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -38.974 -18.389 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ +/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(index.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(in)28(teger.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 546.469 cm +1 0 0 1 172.619 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 546.27 Td [(a)]TJ +/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 498.649 cm +1 0 0 1 329.276 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 332.415 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 498.649 cm +1 0 0 1 353.964 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 498.449 Td [(type)]TJ +/F30 9.9626 Tf 357.102 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.926 Td [(F)96(unction)-384(v)64(alue)]TJ -0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(A)-264(logical)-265(mask)-264(whic)27(h)-264(is)-265(true)-264(if)]TJ/F11 9.9626 Tf 131.492 0 Td [(x)]TJ/F8 9.9626 Tf 8.329 0 Td [(is)-264(lo)-28(cal)-265(to)-264(the)-265(curren)28(t)-264(pro)-28(cess)]TJ -193.301 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ/F16 11.9552 Tf -74.942 -33.873 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ -0 g 0 G - [-500(This)-239(routine)-239(returns)-239(a)]TJ/F30 9.9626 Tf 108.787 0 Td [(.true.)]TJ/F8 9.9626 Tf 33.762 0 Td [(v)56(alue)-239(for)-239(an)-239(index)-239(that)-239(is)-238(lo)-28(cal)-239(to)-239(the)-239(curren)28(t)]TJ -129.819 -11.955 Td [(pro)-28(cess,)-333(including)-333(the)-334(halo)-333(indices)]TJ -0 g 0 G - 141.968 -264.549 Td [(95)]TJ +/F27 9.9626 Tf -227.318 -31.88 Td [(mold)]TJ 0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.899 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.261 0 Td [(psb)]TJ ET - -endstream -endobj -1514 0 obj -<< -/Length 4992 ->> -stream -0 g 0 G -0 g 0 G +q +1 0 0 1 390.19 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F30 9.9626 Tf 393.329 498.449 Td [(T)]TJ ET q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 399.186 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(lo)-31(cal)]TJ +/F30 9.9626 Tf 402.325 498.449 Td [(base)]TJ ET q -1 0 0 1 203.689 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 423.874 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 207.724 706.129 Td [(index)-375(|)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -57.019 -18.389 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(ic)-1(es.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.646 0 Td [(.)]TJ -76.131 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(or)-334(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F30 9.9626 Tf 427.012 498.449 Td [(vect)]TJ ET q -1 0 0 1 172.619 546.469 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 448.561 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F30 9.9626 Tf 451.699 498.449 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)]TJ/F11 9.9626 Tf 93.317 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 43.78 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 498.649 cm +1 0 0 1 338.042 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 341.18 486.494 Td [(T)]TJ ET q -1 0 0 1 387.532 498.649 cm +1 0 0 1 347.038 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 498.449 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.28 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.148 0 Td [(global)]TJ/F8 9.9626 Tf -255.522 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.23 0 Td [(b)-28(ort,)-271(d)1(e)-1(f)1(ault)]TJ/F30 9.9626 Tf 56.742 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore.)]TJ +/F30 9.9626 Tf 350.177 486.494 Td [(vect)]TJ +ET +q +1 0 0 1 371.725 486.693 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 374.864 486.494 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -317.116 -21.918 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -245.08 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - 0 -19.926 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(A)-346(logical)-345(mask)-346(whic)28(h)-346(is)-345(true)-346(for)-345(all)-346(corresp)-28(ondin)1(g)-346(en)28(tries)-346(of)]TJ/F11 9.9626 Tf 264.882 0 Td [(x)]TJ/F8 9.9626 Tf 9.137 0 Td [(that)-346(ar)1(e)-346(lo)-28(cal)]TJ -260.141 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 131.092 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -131.092 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(or)-334(rank)-333(one)-333(logical)-334(ar)1(ra)27(y)84(.)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(as)-1(sem)28(bled.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-434(or)-433(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(ject)-333(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ +ET +q +1 0 0 1 255.857 385.075 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 258.995 384.875 Td [(T)]TJ +ET +q +1 0 0 1 264.853 385.075 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 267.992 384.875 Td [(vect)]TJ +ET +q +1 0 0 1 289.541 385.075 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 292.679 384.875 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +/F27 9.9626 Tf -162.895 -31.88 Td [(info)]TJ 0 g 0 G - [-500(This)-308(routine)-309(return)1(s)-309(a)]TJ/F30 9.9626 Tf 111.554 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.454 0 Td [(v)56(alue)-309(for)-308(those)-308(indices)-309(that)-308(are)-308(lo)-28(cal)-308(to)-309(the)]TJ -133.278 -11.955 Td [(curren)28(t)-334(p)1(ro)-28(cess,)-334(including)-333(the)-333(halo)-334(i)1(ndices)-1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -141.013 Td [(96)]TJ + 141.968 -214.736 Td [(92)]TJ 0 g 0 G ET endstream endobj -1520 0 obj +1539 0 obj << -/Length 3821 +/Length 3389 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 124.986 706.129 Td [(get)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(6.15)-1125(psb)]TJ ET q -1 0 0 1 143.885 706.328 cm +1 0 0 1 158.311 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 147.92 706.129 Td [(b)-31(oundary)-375(|)-375(Extract)-375(list)-375(of)-375(b)-32(oundary)-375(elemen)32(ts)]TJ +/F16 11.9552 Tf 162.346 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -48.025 -18.389 Td [(call)-525(psb_get_boundary\050bndel,)-525(desc,)-525(info\051)]TJ +/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 26.209 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -1.302 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(f)1(re)-1(ed.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(j)1(e)-1(ct)-333(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 578.35 cm +1 0 0 1 205.048 566.395 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 208.186 566.195 Td [(T)]TJ ET q -1 0 0 1 336.723 578.35 cm +1 0 0 1 214.044 566.395 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ -0 g 0 G +/F30 9.9626 Tf 217.182 566.195 Td [(vect)]TJ +ET +q +1 0 0 1 238.731 566.395 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 241.869 566.195 Td [(type)]TJ 0 g 0 G - 0 -19.926 Td [(bndel)]TJ +/F8 9.9626 Tf 20.922 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ 0 g 0 G -/F8 9.9626 Tf 32.51 0 Td [(The)-268(list)-267(of)-268(b)-27(oundary)-268(elemen)28(ts)-268(on)-267(the)-268(calling)-267(pro)-28(cess,)-281(in)-267(lo)-28(cal)-268(n)28(um)28(b)-28(ering.)]TJ -7.603 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-456(as:)-691(a)-457(rank)-456(one)-457(arra)28(y)-456(with)-457(the)-457(ALLOCA)84(T)83(ABLE)-456(attribute,)-488(of)]TJ 0 -11.955 Td [(t)28(yp)-28(e)-333(in)28(te)-1(ger.)]TJ +/F27 9.9626 Tf -162.896 -31.88 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 534.514 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 534.315 Td [(a)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.881 Td [(info)]TJ +/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ +ET +q +1 0 0 1 278.467 486.693 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 281.605 486.494 Td [(desc)]TJ +ET +q +1 0 0 1 303.154 486.693 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 306.292 486.494 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ +/F27 9.9626 Tf -227.319 -33.873 Td [(On)-383(Return)]TJ 0 g 0 G - [-500(If)-269(there)-269(are)-269(no)-269(b)-28(oundary)-269(elemen)28(ts)-269(\050i.e.,)-282(if)-269(the)-269(lo)-28(cal)-269(part)-269(of)-269(the)-269(c)-1(onn)1(e)-1(ctivi)1(t)27(y)]TJ 12.73 -11.955 Td [(graph)-449(is)-450(self-con)28(tained\051)-450(the)-449(output)-449(v)27(ector)-449(is)-450(set)-449(to)-450(the)-449(\134not)-450(allo)-27(c)-1(ated")]TJ 0 -11.955 Td [(state.)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ + 0 -19.925 Td [(info)]TJ 0 g 0 G - [-500(Otherwise)-288(the)-289(size)-288(of)]TJ/F30 9.9626 Tf 105.44 0 Td [(bndel)]TJ/F8 9.9626 Tf 29.023 0 Td [(will)-288(b)-28(e)-288(exactly)-289(equal)-288(to)-288(the)-288(n)28(um)27(b)-27(er)-289(of)-288(b)-28(ound)1(-)]TJ -121.733 -11.956 Td [(ary)-333(elemen)27(ts.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -208.758 Td [(97)]TJ + 141.968 -294.437 Td [(93)]TJ 0 g 0 G ET endstream endobj -1528 0 obj +1543 0 obj << -/Length 3654 +/Length 3466 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(get)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.16)-1125(psb)]TJ ET q -1 0 0 1 194.695 706.328 cm +1 0 0 1 209.121 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 198.729 706.129 Td [(o)31(v)31(erlap)-375(|)-375(Extract)-375(list)-375(of)-375(o)32(v)31(erlap)-375(elemen)31(ts)]TJ +/F16 11.9552 Tf 213.156 706.129 Td [(gelp)-525(|)-526(Applies)-525(a)-526(left)-525(p)-31(erm)31(utation)-525(to)-526(a)-525(dense)]TJ -25.091 -13.948 Td [(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -48.024 -18.389 Td [(call)-525(psb_get_overlap\050ovrel,)-525(desc,)-525(info\051)]TJ +/F30 9.9626 Tf -37.36 -18.389 Td [(call)-525(psb_gelp\050trans,)-525(iperm,)-525(x,)-525(info\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(desc)]TJ -0 g 0 G -/F8 9.9626 Tf 26.208 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -1.302 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ -ET -q -1 0 0 1 387.532 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ + 0 -19.926 Td [(trans)]TJ 0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(A)-333(c)27(har)1(ac)-1(ter)-333(that)-333(sp)-28(eci\014es)-333(whether)-334(to)-333(p)-28(erm)28(ute)]TJ/F11 9.9626 Tf 204.179 0 Td [(A)]TJ/F8 9.9626 Tf 10.793 0 Td [(or)]TJ/F11 9.9626 Tf 12.204 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(.)]TJ -246.626 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(single)-333(c)28(haracter)-334(with)-333(v)56(alue)-334('N')-333(for)]TJ/F11 9.9626 Tf 217.435 0 Td [(A)]TJ/F8 9.9626 Tf 10.792 0 Td [(or)-333('T')-334(for)]TJ/F11 9.9626 Tf 43.504 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.615 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.615 Td [(.)]TJ 0 g 0 G - 0 -19.926 Td [(o)32(vrel)]TJ +/F27 9.9626 Tf -310.386 -31.881 Td [(ip)-32(erm)]TJ 0 g 0 G -/F8 9.9626 Tf 29.59 0 Td [(The)-333(list)-334(of)-333(o)28(v)28(erlap)-334(elemen)28(ts)-333(on)-334(the)-333(calling)-333(pro)-28(cess,)-334(in)-333(lo)-28(cal)-333(n)28(um)28(b)-28(ering.)]TJ -4.684 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-456(as:)-691(a)-457(rank)-456(one)-457(arra)28(y)-457(with)-456(the)-457(ALLOCA)84(T)83(ABLE)-456(attribute,)-488(of)]TJ 0 -11.955 Td [(t)28(yp)-28(e)-333(in)27(teger.)]TJ +/F8 9.9626 Tf 34.364 0 Td [(An)-333(in)28(tege)-1(r)-333(arra)28(y)-333(con)27(tain)1(ing)-334(p)-28(erm)28(utation)-333(information.)]TJ -9.457 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(one-dimensional)-334(arra)28(y)84(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -31.881 Td [(info)]TJ +/F27 9.9626 Tf -24.907 -31.881 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.917 Td [(Notes)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(p)-28(erm)27(u)1(te)-1(d)1(.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(or)-333(t)27(w)28(o)-333(dimensional)-334(arra)28(y)84(.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]TJ +/F27 9.9626 Tf -24.907 -33.873 Td [(On)-383(Return)]TJ 0 g 0 G - [-500(If)-343(there)-344(ar)1(e)-344(no)-343(o)28(v)28(erlap)-344(elemen)28(ts)-343(the)-343(output)-344(v)28(ector)-343(is)-343(set)-344(to)-343(the)-343(\134not)-343(allo-)]TJ 12.73 -11.955 Td [(cated")-333(state.)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ + 0 -19.925 Td [(info)]TJ 0 g 0 G - [-500(Otherwise)-284(the)-284(size)-283(of)]TJ/F30 9.9626 Tf 105.262 0 Td [(ovrel)]TJ/F8 9.9626 Tf 28.978 0 Td [(will)-284(b)-27(e)-284(exactly)-284(equal)-284(to)-284(the)-283(n)27(u)1(m)27(b)-27(e)-1(r)-283(of)-284(o)28(v)28(erlap)]TJ -121.51 -11.955 Td [(elemen)28(ts.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ 0 g 0 G - 141.968 -220.714 Td [(98)]TJ + 141.967 -212.744 Td [(94)]TJ 0 g 0 G ET endstream endobj -1535 0 obj +1548 0 obj << -/Length 5783 +/Length 6552 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(6.17)-1125(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 158.311 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(sp)]TJ +/F16 11.9552 Tf 162.346 706.129 Td [(glob)]TJ ET q -1 0 0 1 138.57 706.328 cm +1 0 0 1 187.811 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 142.605 706.129 Td [(getro)31(w)-375(|)-375(Extract)-375(ro)31(w\050s\051)-375(from)-375(a)-375(sparse)-375(matrix)]TJ +/F16 11.9552 Tf 191.846 706.129 Td [(to)]TJ +ET +q +1 0 0 1 204.608 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 208.643 706.129 Td [(lo)-31(c)-359(|)-359(Global)-358(to)-359(lo)-31(cal)-359(indices)-359(con)32(v)31(ertion)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -42.71 -18.647 Td [(call)-525(psb_sp_getrow\050row,)-525(a,)-525(nz,)-525(ia,)-525(ja,)-525(val,)-525(info,)-525(&)]TJ 73.225 -11.955 Td [(&)-525(append,)-525(nzin,)-525(lrw\051)]TJ +/F30 9.9626 Tf -108.748 -18.389 Td [(call)-525(psb_glob_to_loc\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 -11.956 Td [(call)-525(psb_glob_to_loc\050x,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 g 0 G -/F27 9.9626 Tf -73.225 -22.334 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.201 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -20.479 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -20.479 Td [(ro)32(w)]TJ + 0 -19.639 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 23.385 0 Td [(The)-333(\050\014rst\051)-334(ro)28(w)-333(to)-334(b)-27(e)-334(extracted.)]TJ 1.522 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)]TJ/F11 9.9626 Tf 104.691 0 Td [(>)]TJ/F8 9.9626 Tf 10.516 0 Td [(0.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(An)-333(in)28(te)-1(ger)-333(v)28(ector)-333(of)-334(indices)-333(to)-333(b)-28(e)-334(con)28(v)28(erted.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.645 0 Td [(.)]TJ -76.131 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F27 9.9626 Tf -140.114 -20.479 Td [(a)]TJ +/F27 9.9626 Tf -24.907 -31.594 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 536.09 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 535.891 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(from)-333(whic)28(h)-333(to)-334(get)-333(ro)28(ws.)]TJ 14.356 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 496.313 cm +1 0 0 1 312.036 488.27 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 496.114 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 488.07 Td [(desc)]TJ ET q -1 0 0 1 347.183 496.313 cm +1 0 0 1 336.723 488.27 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 496.114 Td [(type)]TJ +/F30 9.9626 Tf 339.861 488.07 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.348 -20.479 Td [(app)-32(end)]TJ +/F27 9.9626 Tf -260.887 -19.638 Td [(iact)]TJ 0 g 0 G -/F8 9.9626 Tf 41.58 0 Td [(Whether)-333(to)-334(app)-27(end)-334(or)-333(o)28(v)28(erwrite)-334(existing)-333(output.)]TJ -16.673 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue)-333(default:)-444(false)-334(\050o)28(v)28(erwrite\051.)]TJ +/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td 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Td [(X)]TJ/F8 9.9626 Tf 12.34 0 Td [(in)28(to)-332(ascending)-332(or)-331(descending)-332(order.)]TJ -189.992 -11.955 Td [(The)-320(argumen)28(t)-321(meaning)-320(is)-320(iden)28(tical)-320(for)-320(the)-321(th)1(ree)-321(calls;)-324(the)-320(only)-321(di\013erence)-320(is)-320(the)]TJ 0 -11.955 Td [(algorithm)-333(used)-334(to)-333(accomplish)-333(the)-334(task)-333(\050see)-333(Us)-1(age)-333(Notes)-333(b)-28(elo)28(w\051.)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.865 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -22.511 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -22.511 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(sequence)-334(to)-333(b)-28(e)-333(sorted.)]TJ 13.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td 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Td [(curren)28(t)-333(pro)-28(cess,)-334(including)-333(the)-333(halo)-333(indices.)]TJ 0 g 0 G - -79.452 -174.885 Td [(106)]TJ + 139.477 -141.013 Td [(101)]TJ 0 g 0 G ET endstream endobj -1588 0 obj +1590 0 obj << -/Length 4356 +/Length 3846 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(6.23)-1125(psb)]TJ +ET +q +1 0 0 1 209.121 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 213.156 706.129 Td [(get)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 232.054 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(exit)-375(|)-375(Exit)-375(from)-375(PSBLAS)-375(parallel)-375(en)31(vironmen)31(t)]TJ +/F16 11.9552 Tf 236.089 706.129 Td [(b)-31(oundary)-543(|)-542(Extract)-543(list)-542(of)-543(b)-31(oundary)-543(ele-)]TJ -48.024 -13.948 Td [(men)31(ts)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_exit\050icontxt\051)]TJ 0 -11.956 Td 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l S Q BT -/F16 11.9552 Tf 198.729 706.129 Td [(mpi)]TJ +/F16 11.9552 Tf 185.28 706.129 Td [(o)31(v)31(erlap)-375(|)-375(Extract)-375(list)-375(of)-375(o)32(v)31(erlap)-375(elemen)31(ts)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -85.385 -18.389 Td [(call)-525(psb_get_overlap\050ovrel,)-525(desc,)-525(info\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(desc)]TJ +0 g 0 G +/F8 9.9626 Tf 26.209 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -1.302 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td 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[(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ 0 g 0 G + [-500(If)-343(there)-343(are)-344(no)-343(o)28(v)28(erlap)-344(elemen)28(ts)-343(the)-343(output)-344(v)28(ector)-343(is)-343(set)-344(to)-343(the)-343(\134not)-343(allo-)]TJ 12.73 -11.955 Td [(cated")-333(state.)]TJ 0 g 0 G - 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ + -12.73 -19.925 Td [(2.)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(The)-314(MPI)-314(comm)28(unicator)-314(as)-1(so)-27(ciated)-314(w)-1(i)1(th)-315(th)1(e)-315(PSBLAS)-314(virtual)]TJ -53.479 -11.955 Td [(parallel)-333(mac)27(h)1(ine.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf 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[(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ + [-500(If)]TJ/F11 9.9626 Tf 21.89 0 Td [(f)-108(l)-19(ag)]TJ/F8 9.9626 Tf 22.261 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(psb)]TJ +ET +q +1 0 0 1 232.104 542.941 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F11 9.9626 Tf 235.093 542.742 Td [(sor)-28(t)]TJ +ET +q +1 0 0 1 253.559 542.941 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F11 9.9626 Tf 256.548 542.742 Td [(ov)-36(w)]TJ +ET +q +1 0 0 1 274.562 542.941 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F11 9.9626 Tf 277.55 542.742 Td [(idx)]TJ +ET +q +1 0 0 1 292.46 542.941 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 297.966 542.742 Td [(then)-253(the)-252(en)27(tries)-252(in)]TJ/F11 9.9626 Tf 80.169 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\0501)-278(:)]TJ/F11 9.9626 Tf 17.158 0 Td [(n)]TJ/F8 9.9626 Tf 5.98 0 Td [(\051)-253(where)]TJ/F11 9.9626 Tf 34.397 0 Td [(n)]TJ/F8 9.9626 Tf 8.498 0 Td [(is)-253(the)-252(size)]TJ -277.683 -11.956 Td [(of)]TJ/F11 9.9626 Tf 11.911 0 Td [(x)]TJ/F8 9.9626 Tf 9.579 0 Td [(are)-390(initialized)-390(to)]TJ/F11 9.9626 Tf 76.439 0 Td [(ix)]TJ/F8 9.9626 Tf 9.127 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 7.582 0 Td [(\040)]TJ/F11 9.9626 Tf 13.67 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(;)-418(th)28(us,)-405(u)1(p)-28(on)-390(return)-390(from)-390(the)-390(subroutine,)]TJ -139.046 -11.955 Td [(for)-333(eac)27(h)-333(index)]TJ/F11 9.9626 Tf 64.505 0 Td [(i)]TJ/F8 9.9626 Tf 6.752 0 Td [(w)28(e)-333(ha)27(v)28(e)-333(in)]TJ/F11 9.9626 Tf 49.256 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(the)-333(p)-28(osition)-333(that)-333(the)-334(item)]TJ/F11 9.9626 Tf 123.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 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[(On)-333(destination)-333(pro)-28(cess\050es\051,)-334(the)-333(result)-333(of)-334(the)-333(maxim)28(um)-334(op)-27(eration.)]TJ 3.535 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -71.51 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-326(as)-1(:)-441(an)-326(in)27(teger)-326(or)-327(real)-327(v)56(ariable,)-328(whic)28(h)-327(ma)28(y)-327(b)-28(e)-327(a)-327(scalar,)-328(or)-326(a)-327(rank)]TJ 0 -11.955 Td [(1)-333(or)-334(2)-333(arra)28(y)83(.)-778(T)28(yp)-28(e,)-333(kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(cess)-1(es.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ + -17.158 -15.94 Td [(\050c\051)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ + [-500(The)-358(merge-sort)-358(algorithm)-357(is)-358(implemen)28(ted)-358(to)-358(tak)28(e)-358(adv)56(an)28(tage)-358(of)-358(sub-)]TJ 17.158 -11.955 Td [(sequences)-401(that)-400(ma)28(y)-401(b)-28(e)-400(already)-401(in)-400(the)-401(desired)-400(ordering)-400(prior)-401(to)-400(the)]TJ 0 -11.956 Td [(subroutine)-246(call;)-275(this)-246(situation)-246(is)-247(relativ)28(ely)-246(common)-246(when)-246(dealing)-246(with)]TJ 0 -11.955 Td [(groups)-301(of)-301(indices)-301(of)-302(sparse)-301(matrix)-301(en)28(tries,)-308(th)28(us)-301(merge-sort)-302(is)-301(the)-301(pre-)]TJ 0 -11.955 Td [(ferred)-249(c)28(hoice)-249(when)-249(a)-249(sorting)-248(is)-249(needed)-249(b)28(y)-249(other)-249(routines)-249(in)-249(t)1(he)-249(library)83(.)]TJ 0 g 0 G - [-500(The)]TJ/F30 9.9626 Tf 32.469 0 Td [(dat)]TJ/F8 9.9626 Tf 18.273 0 Td [(argumen)28(t)-259(is)-259(b)-28(oth)-259(input)-259(and)-259(output,)-274(and)-259(its)-259(v)55(alue)-259(ma)28(y)-259(b)-28(e)-259(c)28(hanged)]TJ -38.012 -11.956 Td [(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ + 117.559 -205.23 Td [(108)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ +ET + +endstream +endobj +1640 0 obj +<< +/Length 182 +>> +stream 0 g 0 G - [-500(The)]TJ/F30 9.9626 Tf 33.209 0 Td [(dat)]TJ/F8 9.9626 Tf 19.012 0 Td [(argumen)28(t)-333(m)-1(a)28(y)-333(also)-333(b)-28(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ 0 g 0 G - 99.986 -109.132 Td [(115)]TJ +BT +/F16 14.3462 Tf 99.895 706.129 Td [(7)-1125(P)31(arallel)-375(en)31(vironmen)32(t)-375(routines)]TJ +0 g 0 G +/F8 9.9626 Tf 164.384 -615.691 Td [(109)]TJ 0 g 0 G ET endstream endobj -1633 0 obj +1645 0 obj << -/Length 5183 +/Length 5584 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(7.1)-1125(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 202.396 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(min)-375(|)-375(Global)-375(minim)31(um)]TJ +/F16 11.9552 Tf 206.431 706.129 Td [(init)-375(|)-375(Initializes)-375(PSBLAS)-375(parallel)-375(en)31(vironmen)31(t)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_min\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-311(subroutine)-312(implemen)28(ts)-311(a)-312(minim)28(um)-311(v)55(alue)-311(reduction)-312(op)-27(eration)-312(based)-311(on)]TJ -14.944 -11.955 Td [(the)-333(underlying)-333(com)-1(m)28(unication)-333(library)83(.)]TJ +/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_init\050icontxt,)-525(np,)-525(basectxt,)-525(ids\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-294(subroutine)-294(initial)1(iz)-1(es)-293(the)-294(PSBLAS)-294(parallel)-294(en)28(vironmen)28(t,)-302(de\014ning)-294(a)-294(vir-)]TJ -14.944 -11.955 Td [(tual)-333(parallel)-334(mac)28(hine.)]TJ 0 g 0 G /F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -19974,120 +20159,130 @@ BT /F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(icon)32(txt)]TJ + 0 -19.925 Td [(np)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +/F8 9.9626 Tf 17.711 0 Td [(Num)28(b)-28(er)-333(of)-334(pro)-27(cess)-1(es)-333(in)-333(the)-334(P)1(SBLA)-1(S)-333(virtual)-333(parallel)-333(mac)27(hin)1(e)-1(.)]TJ 7.196 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-778(Defau)1(lt:)-445(use)-333(all)-334(a)28(v)56(ailable)-333(pro)-28(cesses.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(basectxt)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-333(c)-1(on)28(tribution)-333(to)-333(the)-334(gl)1(obal)-334(minim)28(um.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-326(as:)-442(an)-326(in)27(teger)-326(or)-327(real)-327(v)56(ariable,)-328(whic)28(h)-327(ma)28(y)-327(b)-28(e)-327(a)-326(s)-1(calar,)-328(or)-326(a)-327(rank)]TJ 0 -11.955 Td [(1)-333(or)-334(2)-333(arra)28(y)83(.)-778(T)28(yp)-27(e)-1(,)-333(kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(cesse)-1(s.)]TJ +/F8 9.9626 Tf 46.736 0 Td [(the)-356(initial)-357(comm)28(unication)-356(con)28(text.)-514(The)-356(new)-357(con)28(text)-356(will)-357(b)-27(e)-357(de\014ned)]TJ -21.829 -11.955 Td [(from)-333(the)-334(pro)-27(cesse)-1(s)-333(participating)-333(in)-333(the)-334(initial)-333(one.)]TJ 0 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-778(Defau)1(lt:)-445(use)-333(MPI)]TJ +ET +q +1 0 0 1 389.991 466.768 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 392.98 466.569 Td [(COMM)]TJ +ET +q +1 0 0 1 426.787 466.768 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 429.775 466.569 Td [(W)28(ORLD.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(ro)-32(ot)]TJ +/F27 9.9626 Tf -279.07 -19.925 Td [(ids)]TJ 0 g 0 G -/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-276(to)-276(hold)-276(the)-276(\014nal)-276(v)56(alue,)-287(or)]TJ/F14 9.9626 Tf 146.411 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-276(to)-276(mak)28(e)-276(it)-276(a)28(v)55(ailable)-276(on)-276(all)-276(pr)1(o)-28(cesses)-1(.)]TJ -155.183 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.427 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.749 0 Td [(<)]TJ/F8 9.9626 Tf 7.748 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)-334(-1.)]TJ +/F8 9.9626 Tf 19.048 0 Td [(Iden)28(tities)-497(of)-497(the)-497(pro)-28(cesses)-497(to)-497(use)-497(for)-497(the)-497(new)-498(con)28(text;)-579(the)-497(argumen)28(t)-497(is)]TJ 5.858 -11.956 Td [(ignored)-428(when)]TJ/F30 9.9626 Tf 63.346 0 Td [(np)]TJ/F8 9.9626 Tf 14.723 0 Td [(is)-428(not)-428(sp)-27(eci\014ed.)-728(This)-428(allo)28(ws)-428(the)-428(pro)-27(ces)-1(ses)-427(in)-428(the)-428(new)]TJ -78.069 -11.955 Td [(en)28(vironmen)28(t)-334(to)-333(b)-28(e)-333(in)-333(an)-334(order)-333(di\013eren)28(t)-334(from)-333(the)-333(original)-333(one.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)-778(Default:)-444(use)-334(the)-333(indices)-333(\0500)]TJ/F11 9.9626 Tf 254.159 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 26.489 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1\051.)]TJ 0 g 0 G -/F27 9.9626 Tf -251.325 -33.873 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -315.517 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(dat)]TJ + 0 -19.925 Td [(icon)32(txt)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(On)-333(destination)-334(p)1(ro)-28(cess\050es)-1(\051)1(,)-334(the)-333(result)-333(of)-334(the)-333(minim)28(um)-334(op)-27(eration.)]TJ 3.536 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-326(as:)-442(an)-326(in)27(teger)-326(or)-327(real)-327(v)56(ariable,)-328(whic)28(h)-327(ma)28(y)-327(b)-28(e)-327(a)-326(s)-1(calar,)-328(or)-326(a)-327(rank)]TJ 0 -11.955 Td [(1)-333(or)-334(2)-333(arra)28(y)83(.)]TJ 0 -11.955 Td [(T)28(yp)-28(e,)-333(kind,)-333(rank)-334(and)-333(size)-333(m)27(ust)-333(agree)-333(on)-334(all)-333(pro)-28(cesses.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-457(c)-1(omm)28(unication)-457(con)28(te)-1(x)1(t)-458(iden)28(tifying)-458(the)-457(virtual)-458(p)1(arallel)-458(mac)28(hine.)]TJ -15.083 -11.956 Td [(Note)-335(that)-335(this)-335(is)-336(alw)28(a)28(ys)-335(a)-335(duplicate)-335(of)]TJ/F30 9.9626 Tf 169.953 0 Td [(basectxt)]TJ/F8 9.9626 Tf 41.843 0 Td [(,)-336(so)-335(that)-335(library)-335(comm)28(u-)]TJ -211.796 -11.955 Td [(nications)-305(are)-305(completely)-306(separated)-305(from)-305(other)-305(comm)28(unication)-305(op)-28(erations.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.51 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ/F16 11.9552 Tf -24.906 -21.917 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(The)]TJ/F30 9.9626 Tf 32.469 0 Td [(dat)]TJ/F8 9.9626 Tf 18.272 0 Td [(argumen)28(t)-259(is)-259(b)-28(oth)-259(input)-259(and)-259(output,)-274(and)-259(its)-259(v)55(alue)-259(ma)28(y)-259(b)-28(e)-259(c)28(hanged)]TJ -38.011 -11.956 Td [(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ + [-500(A)-333(call)-334(to)-333(this)-333(routine)-334(m)28(ust)-333(precede)-334(an)28(y)-333(other)-333(PSBLAS)-334(call.)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ + 0 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(The)]TJ/F30 9.9626 Tf 33.208 0 Td [(dat)]TJ/F8 9.9626 Tf 19.012 0 Td [(argumen)28(t)-334(ma)28(y)-333(also)-334(b)-27(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ + [-500(It)-262(is)-262(an)-262(error)-262(to)-262(sp)-28(ecify)-262(a)-262(v)56(alue)-262(for)]TJ/F11 9.9626 Tf 159.87 0 Td [(np)]TJ/F8 9.9626 Tf 13.602 0 Td [(greater)-262(than)-262(the)-262(n)28(um)28(b)-28(er)-262(of)-262(pro)-28(cesses)]TJ -160.742 -11.955 Td [(a)28(v)55(ailable)-333(in)-333(the)-334(und)1(e)-1(r)1(lying)-334(base)-333(parallel)-333(en)27(viron)1(m)-1(en)28(t.)]TJ 0 g 0 G - 99.987 -109.132 Td [(116)]TJ + 139.477 -97.177 Td [(110)]TJ 0 g 0 G ET endstream endobj -1639 0 obj +1651 0 obj << -/Length 5239 +/Length 4667 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(7.2)-1125(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 151.587 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(amx)-375(|)-375(Global)-375(maxim)31(um)-375(absolute)-375(v)63(alue)]TJ +/F16 11.9552 Tf 155.621 706.129 Td [(info)-453(|)-453(Return)-453(information)-453(ab)-31(out)-453(PSBLAS)-453(par-)]TJ -25.091 -13.948 Td [(allel)-375(en)31(vironmen)31(t)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_amx\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-312(subroutine)-312(implemen)28(ts)-313(a)-312(maxim)28(um)-312(absolute)-312(v)55(alue)-312(reduction)-312(op)-28(eration)]TJ -14.944 -11.955 Td [(based)-333(on)-334(the)-333(underlying)-333(comm)28(unication)-334(library)84(.)]TJ +/F30 9.9626 Tf -30.635 -18.389 Td [(call)-525(psb_info\050icontxt,)-525(iam,)-525(np\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-456(subroutine)-456(returns)-456(inf)1(orma)-1(t)1(ion)-456(ab)-28(out)-456(the)-456(PSBLAS)-456(paral)1(le)-1(l)-455(en)27(viron-)]TJ -14.944 -11.955 Td [(men)28(t,)-334(de\014nin)1(g)-334(a)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -19.925 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(icon)32(txt)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ -0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-334(con)28(tribution)-333(to)-333(the)-334(global)-333(maxim)28(um.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-464(a)-464(rank)-463(1)-464(or)-464(2)-464(arra)28(y)83(.)-1299(T)28(yp)-28(e,)-497(kind,)-496(rank)-464(and)-463(size)-464(m)27(ust)-463(agree)-464(on)-464(all)]TJ 0 -11.955 Td [(pro)-28(cesses.)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ 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[(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.428 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.748 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(1,)-333(default)-334(-1.)]TJ 0 g 0 G -/F27 9.9626 Tf -251.325 -33.873 Td [(On)-383(Return)]TJ + 0 -19.925 Td [(iam)]TJ 0 g 0 G +/F8 9.9626 Tf 23.281 0 Td [(Iden)28(ti\014er)-333(of)-334(curren)28(t)-333(pro)-28(cess)-333(in)-334(the)-333(PSBLAS)-333(virtual)-334(par)1(allel)-334(mac)28(hine.)]TJ 1.626 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 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9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(logical)-333(v)55(ariabl)1(e)-1(,)-333(default)-333(v)55(al)1(ue:)-445(true.)]TJ/F16 11.9552 Tf -24.907 -19.925 Td [(Notes)]TJ 0 g 0 G - 0 -19.926 Td [(dat)]TJ +/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(On)-333(destination)-334(p)1(ro)-28(cess\050es)-1(\051)1(,)-334(the)-333(result)-333(of)-334(the)-333(minim)28(um)-334(op)-27(eration.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-333(a)-334(rank)-333(1)-333(or)-333(2)-334(arra)28(y)83(.)]TJ 0 -11.956 Td [(T)28(yp)-28(e,)-333(kind,)-333(rank)-334(and)-333(size)-333(m)27(ust)-333(agree)-333(on)-334(all)-333(pro)-28(cesses.)]TJ/F16 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ + [-500(This)-241(routine)-241(ma)28(y)-241(b)-28(e)-241(called)-241(ev)28(en)-241(if)-241(a)-241(previous)-241(call)-241(to)]TJ/F30 9.9626 Tf 233.304 0 Td [(psb_info)]TJ/F8 9.9626 Tf 44.244 0 Td [(has)-241(returned)]TJ -264.818 -11.955 Td [(with)]TJ/F11 9.9626 Tf 22.962 0 Td [(iam)]TJ/F8 9.9626 Tf 20.663 0 Td [(=)]TJ/F14 9.9626 Tf 10.966 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1;)-374(indeed,)-367(it)-360(it)-361(is)-360(the)-361(only)-360(routine)-360(that)-361(ma)28(y)-360(b)-28(e)-361(called)-360(with)]TJ 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[(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F53 8.9664 Tf 39.166 0 Td [(t)-30(h)-30(e)-29(n)]TJ -142.758 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.682 0 Td [(p)-146(s)-145(b)]TJ +/F16 11.9552 Tf 206.431 706.129 Td [(b)-31(cast)-375(|)-375(Broadcast)-375(data)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_bcast\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-338(subroutine)-338(implemen)27(ts)-338(a)-338(broadcast)-338(op)-28(eration)-338(based)-339(on)-338(the)-338(underlying)]TJ -14.944 -11.955 Td [(comm)28(unication)-334(lib)1(rary)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(On)-333(the)-334(ro)-27(ot)-334(pro)-27(ces)-1(s,)-333(the)-333(data)-334(to)-333(b)-28(e)-333(broadcast.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-403(a)-403(rank)-404(1)-403(or)-403(2)-403(arra)28(y)83(,)-421(or)-403(a)-403(c)28(haracter)-404(or)-403(logical)-403(v)56(ariable,)-421(whic)28(h)-403(ma)27(y)-403(b)-28(e)]TJ 0 -11.955 Td [(a)-426(s)-1(calar)-426(or)-426(rank)-427(1)-426(arra)27(y)84(.)-1151(T)28(yp)-28(e,)-449(kind,)-450(rank)-427(and)-426(size)-427(m)28(ust)-426(agree)-427(on)-426(all)]TJ 0 -11.955 Td [(pro)-28(cesses.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.93 0 Td [(Ro)-28(ot)-333(pro)-28(cess)-333(holding)-334(data)-333(to)-333(b)-28(e)-333(broadcast.)]TJ -1.023 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.207 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(1,)-333(default)-334(0)]TJ +0 g 0 G +/F27 9.9626 Tf -243.576 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.926 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(On)-333(pro)-28(cesses)-334(other)-333(than)-333(ro)-28(ot,)-333(the)-334(dat)1(a)-334(to)-333(b)-28(e)-333(broadcast.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-346(a)-346(rank)-347(1)-346(or)-346(2)-346(arra)28(y)83(,)-349(or)-347(a)-346(c)28(haracter)-346(or)-346(logical)-347(scalar.)-829(T)28(yp)-28(e,)-349(kind,)-350(rank)]TJ 0 -11.956 Td [(and)-333(size)-334(m)28(ust)-333(agree)-334(on)-333(all)-333(pro)-28(cesses.)]TJ +0 g 0 G + 139.477 -170.9 Td [(118)]TJ +0 g 0 G ET -q -1 0 0 1 183.205 493.964 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q + +endstream +endobj +1690 0 obj +<< +/Length 5157 +>> +stream +0 g 0 G +0 g 0 G BT -/F46 8.9664 Tf 187.274 493.764 Td [(e)-146(r)-145(r)-146(o)-145(r)-254(\050)-252(i)-144(c)-143(o)-144(n)-143(t)-143(x)-144(t)-252(\051)]TJ/F53 8.9664 Tf -50.844 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -10.529 -10.958 Td [(e)-117(l)-117(s)-117(e)]TJ 10.529 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -11.596 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ -16.587 -21.918 Td [(e)2(n)2(d)-675(s)-59(u)-60(b)-60(r)-60(o)-60(u)-60(t)-60(i)-60(n)-59(e)]TJ/F46 8.9664 Tf 84.141 0 Td [(p)-132(s)-132(b)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(7.10)-1125(psb)]TJ ET q -1 0 0 1 210.371 428.21 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +1 0 0 1 158.311 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F46 8.9664 Tf 214.321 428.011 Td [(f)-132(o)-132(o)]TJ +/F16 11.9552 Tf 162.346 706.129 Td [(sum)-375(|)-375(Global)-375(sum)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_sum\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-318(subroutine)-319(implemen)28(ts)-318(a)-319(sum)-318(reduction)-318(op)-28(eration)-318(based)-319(on)-318(the)-318(under-)]TJ -14.944 -11.955 Td [(lying)-333(comm)27(unication)-333(library)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-334(con)28(tribution)-333(to)-333(the)-334(global)-333(sum.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-464(a)-464(rank)-463(1)-464(or)-464(2)-464(arra)28(y)83(.)-1299(T)28(yp)-28(e,)-497(kind,)-496(rank)-464(and)-463(size)-464(m)27(ust)-463(agree)-464(on)-464(all)]TJ 0 -11.955 Td [(pro)-28(cesses.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.931 0 Td [(Pro)-28(cess)-310(to)-309(hold)-310(the)-310(\014nal)-310(sum,)-314(or)]TJ/F14 9.9626 Tf 144.053 0 Td [(\000)]TJ/F8 9.9626 Tf 7.748 0 Td [(1)-310(to)-310(mak)28(e)-310(it)-309(a)27(v)56(ailable)-310(on)-310(all)-309(pro)-28(cesses.)]TJ -152.825 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.428 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.748 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(1,)-333(default)-334(-1.)]TJ +0 g 0 G +/F27 9.9626 Tf -251.325 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.372 0 Td [(On)-333(destination)-333(pro)-28(cess\050es\051,)-334(the)-333(result)-333(of)-334(the)-333(sum)-333(op)-28(eration.)]TJ 3.535 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -71.51 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-333(a)-334(rank)-333(1)-333(or)-334(2)-333(arra)28(y)83(.)]TJ 0 -11.955 Td [(T)28(yp)-28(e,)-333(kind,)-334(r)1(ank)-334(and)-333(size)-333(m)27(ust)-333(agree)-333(on)-334(all)-333(pro)-28(cesses.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 32.469 0 Td [(dat)]TJ/F8 9.9626 Tf 18.273 0 Td [(argumen)28(t)-259(is)-259(b)-28(oth)-259(input)-259(and)-259(output,)-274(and)-259(its)-259(v)55(alue)-259(ma)28(y)-259(b)-28(e)-259(c)28(hanged)]TJ -38.012 -11.956 Td [(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ +0 g 0 G + -12.73 -19.925 Td [(2.)]TJ +0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 33.209 0 Td [(dat)]TJ/F8 9.9626 Tf 19.012 0 Td [(argumen)28(t)-333(m)-1(a)28(y)-333(also)-333(b)-28(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ +0 g 0 G + 99.986 -109.132 Td [(119)]TJ 0 g 0 G ET -q -1 0 0 1 99.895 701.884 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q -q -1 0 0 1 100.095 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S -Q -q -1 0 0 1 446.279 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S -Q -q -1 0 0 1 99.895 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q + +endstream +endobj +1696 0 obj +<< +/Length 5196 +>> +stream +0 g 0 G +0 g 0 G BT -/F8 9.9626 Tf 99.895 382.537 Td [(Figure)-329(9:)-443(The)-329(la)27(y)28(out)-329(of)-330(a)-329(generic)]TJ/F30 9.9626 Tf 147.445 0 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(7.11)-1125(psb)]TJ ET q -1 0 0 1 263.659 382.736 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 209.121 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 266.797 382.537 Td [(foo)]TJ/F8 9.9626 Tf 18.973 0 Td [(routine)-329(with)-330(resp)-28(ect)-329(to)-330(PS)1(B)-1(LAS)1(-)-1(2.)1(0)]TJ -185.875 -11.955 Td [(error)-333(handling)-333(p)-28(olicy)83(.)]TJ +/F16 11.9552 Tf 213.156 706.129 Td [(max)-375(|)-375(Global)-375(maxim)31(um)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_max\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-326(subroutine)-326(implemen)28(ts)-326(a)-326(maxim)27(um)-326(v)56(aluereduction)-326(op)-28(eration)-326(based)-326(on)]TJ -14.944 -11.955 Td [(the)-333(underlying)-333(com)-1(m)28(unication)-333(library)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 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[(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ + [-500(This)-402(subroutine)-403(implies)-402(a)-402(s)-1(yn)1(c)27(hronization,)-419(but)-403(on)1(ly)-403(b)-28(et)28(w)28(een)-403(the)-402(calling)]TJ 12.73 -11.955 Td [(pro)-28(cess)-333(and)-333(the)-334(destination)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 157.521 0 Td [(dst)]TJ/F8 9.9626 Tf 13.453 0 Td [(.)]TJ 0 g 0 G - 139.477 -194.811 Td [(129)]TJ + -31.497 -105.147 Td [(125)]TJ 0 g 0 G ET endstream endobj -1746 0 obj +1734 0 obj << -/Length 5239 +/Length 5375 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(h)31(b)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(7.17)-1125(psb)]TJ ET q -1 0 0 1 166.082 706.328 cm +1 0 0 1 209.121 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 170.117 706.129 Td [(write)-357(|)-357(W)93(rite)-357(a)-357(sparse)-357(matrix)-358(to)-357(a)-357(\014le)-357(in)-357(the)-357(Harw)31(ell{)]TJ 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9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(a)]TJ +/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(to)-333(b)-28(e)-333(written.)]TJ 14.355 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 586.32 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 586.121 Td [(Tspmat)]TJ -ET -q -1 0 0 1 397.993 586.32 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 401.131 586.121 Td [(type)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous:)-444(s)-1(ee)-333(usage)-333(notes.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F27 9.9626 Tf -271.347 -19.926 Td [(b)]TJ 0 g 0 G -/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(sid)1(e)-1(.)]TJ 13.56 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(An)-282(arr)1(a)27(y)-281(of)-282(t)28(yp)-28(e)-281(real)-282(or)-281(complex,)-292(rank)-282(1)-281(and)-282(ha)28(ving)-281(the)-282(ALLOCA)83(T)84(ABLE)]TJ 0 -11.955 Td [(attribute;)-409(will)-384(b)-28(e)-384(allo)-28(cated)-384(and)-383(\014lled)-384(in)-384(if)-384(the)-384(input)-384(\014le)-384(con)28(tains)-384(a)-384(righ)28(t)]TJ 0 -11.955 Td [(hand)-333(side.)]TJ + 0 -19.925 Td [(icon)32(txt)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(\014lename)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ 0 g 0 G -/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written)-333(to.)]TJ -21.607 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(haracter)-435(v)56(ariable)-435(con)27(tain)1(ing)-436(a)-435(v)56(alid)-435(\014le)-435(name)-1(,)-460(or)]TJ/F30 9.9626 Tf 297.916 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.146 -11.955 Td [(whic)28(h)-281(case)-280(the)-281(d)1(e)-1(f)1(ault)-281(output)-280(unit)-280(6)-281(\050i.e.)-427(stand)1(ard)-281(output)-280(in)-280(Unix)-281(jargon\051)]TJ 0 -11.955 Td [(is)-333(used.)-445(Default:)]TJ/F30 9.9626 Tf 76.076 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(src)]TJ 0 g 0 G -/F27 9.9626 Tf -106.213 -19.926 Td [(iunit)]TJ +/F8 9.9626 Tf 19.311 0 Td [(Source)-333(pro)-28(cess.)]TJ 5.596 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(sr)-28(c)-277(<)]TJ/F8 9.9626 Tf 24.269 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.626 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-334(meaningf)1(ul)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.289 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +/F27 9.9626 Tf -239.302 -31.88 Td [(m)]TJ 0 g 0 G -/F27 9.9626 Tf -316.425 -19.925 Td [(k)32(ey)]TJ +/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws.)]TJ 10.378 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf 43.455 0 Td [(.)]TJ -73.066 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(m)-278(<)]TJ/F8 9.9626 Tf 19.263 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.813 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051.)]TJ -226.384 -11.955 Td [(When)]TJ/F11 9.9626 Tf 29.071 0 Td [(dat)]TJ/F8 9.9626 Tf 17.383 0 Td [(is)-335(a)-334(rank)-335(2)-335(arra)28(y)84(,)-335(sp)-28(eci\014es)-335(the)-335(n)28(um)28(b)-28(er)-334(of)-335(ro)28(ws)-335(to)-335(b)-27(e)-335(sen)28(t)-335(inde-)]TJ -46.454 -11.955 Td [(p)-28(enden)28(tly)-285(of)-285(the)-286(leadin)1(g)-286(dimension)]TJ/F11 9.9626 Tf 153.741 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.813 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051;)-301(m)27(u)1(s)-1(t)-285(ha)28(v)28(e)-285(the)-286(same)-285(v)55(al)1(ue)]TJ -193.905 -11.955 Td [(on)-333(sending)-334(and)-333(receiving)-333(pro)-28(cesses.)]TJ 0 g 0 G -/F8 9.9626 Tf 22.008 0 Td [(Matrix)-333(k)28(ey)83(.)]TJ 2.899 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(A)-385(c)28(harac)28(h)28(ter)-385(v)56(ariable)-385(of)-385(length)-384(8)-385(holding)-385(the)-384(matrix)-385(k)28(ey)-385(as)-385(sp)-28(eci\014ed)-384(b)27(y)]TJ 0 -11.955 Td [(the)-333(Harw)27(ell-Bo)-27(eing)-334(format)-333(and)-333(to)-334(b)-27(e)-334(written)-333(to)-333(\014le.)]TJ +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(m)32(title)]TJ 0 g 0 G -/F8 9.9626 Tf 34.738 0 Td [(Matrix)-333(title.)]TJ -9.831 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(A)-318(c)28(harac)28(h)28(ter)-318(v)56(ariable)-318(of)-317(length)-318(72)-317(holding)-318(the)-317(matrix)-318(title)-318(as)-317(sp)-28(eci\014ed)-318(b)28(y)]TJ 0 -11.956 Td [(the)-333(Harw)27(ell-Bo)-27(eing)-334(format)-333(and)-333(to)-334(b)-27(e)-334(written)-333(to)-333(\014le.)]TJ + 0 -19.926 Td [(dat)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.917 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 21.371 0 Td [(The)-333(data)-334(to)-333(b)-28(e)-333(receiv)28(ed.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(teg)-1(er,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-381(a)-381(rank)-381(1)-381(or)-381(2)-381(arra)28(y)83(,)-393(or)-381(a)-381(c)27(h)1(aracte)-1(r)-381(or)-381(logical)-381(scalar.)-968(T)27(yp)-27(e,)-393(kind)-381(and)]TJ 0 -11.956 Td [(rank)-327(m)27(ust)-327(agree)-328(on)-327(sender)-328(and)-327(receiv)27(er)-327(pro)-28(cess;)-329(if)]TJ/F11 9.9626 Tf 220.724 0 Td [(m)]TJ/F8 9.9626 Tf 12.01 0 Td [(is)-328(not)-327(sp)-28(eci\014ed,)-328(s)-1(ize)]TJ -232.734 -11.955 Td [(m)28(ust)-334(agree)-333(as)-333(w)27(ell.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G - 0 -19.926 Td [(iret)]TJ + [-500(This)-402(subroutine)-403(implies)-402(a)-402(sync)27(hronization,)-419(but)-403(on)1(ly)-403(b)-28(et)28(w)28(een)-403(th)1(e)-403(calling)]TJ 12.73 -11.955 Td [(pro)-28(cess)-333(and)-333(the)-334(source)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 136.516 0 Td [(sr)-28(c)]TJ/F8 9.9626 Tf 13.753 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ + -10.792 -105.147 Td [(126)]TJ +0 g 0 G +ET + +endstream +endobj +1741 0 obj +<< +/Length 6381 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 14.3462 Tf 99.895 706.129 Td [(8)-1125(Error)-375(handling)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-446(PSBLAS)-446(library)-446(error)-446(handling)-446(p)-28(olicy)-446(has)-446(b)-28(een)-446(completely)-446(rewritten)-446(in)]TJ 0 -11.955 Td [(v)28(ersion)-448(2.0.)-788(The)-448(idea)-448(b)-27(ehind)-448(the)-448(design)-448(of)-447(this)-448(new)-448(error)-448(handling)-447(strategy)]TJ 0 -11.955 Td [(is)-491(to)-492(k)28(eep)-491(error)-491(me)-1(ssages)-491(on)-491(a)-492(stac)28(k)-491(allo)28(wing)-492(the)-491(user)-491(to)-491(trace)-492(bac)28(k)-491(up)-492(to)]TJ 0 -11.956 Td [(the)-401(p)-27(oin)27(t)-400(where)-401(the)-400(\014rst)-401(error)-400(me)-1(ssage)-400(has)-401(b)-28(een)-400(generated.)-646(Ev)27(ery)-400(routine)-401(in)]TJ 0 -11.955 Td [(the)-442(PS)1(B)-1(LAS)1(-)-1(2.0)-441(library)-441(has,)-469(as)-442(last)-441(non-optional)-441(argume)-1(n)28(t,)-468(an)-442(in)28(teger)]TJ/F30 9.9626 Tf 322.79 0 Td [(info)]TJ/F8 9.9626 Tf -322.79 -11.955 Td [(v)56(ariable;)-385(whenev)28(er,)-376(inside)-368(the)-367(routine,)-376(an)-368(error)-367(is)-368(detected,)-376(this)-367(v)55(ariable)-367(is)-368(set)]TJ 0 -11.955 Td [(to)-381(a)-380(v)55(alue)-380(corresp)-28(onding)-380(to)-381(a)-380(sp)-28(eci\014c)-381(error)-380(co)-28(de.)-586(Then)-381(this)-380(error)-381(co)-28(de)-380(is)-381(also)]TJ 0 -11.955 Td [(pushed)-245(on)-245(the)-245(error)-245(stac)28(k)-245(and)-245(then)-245(either)-245(con)27(trol)-245(is)-245(return)1(e)-1(d)-245(to)-245(the)-245(caller)-245(routine)]TJ 0 -11.955 Td [(or)-372(the)-372(execution)-371(is)-372(ab)-28(orted,)-381(dep)-28(ending)-372(on)-371(the)-372(users)-372(c)28(hoice.)-560(A)28(t)-372(the)-372(time)-371(when)]TJ 0 -11.956 Td [(the)-364(execution)-363(is)-364(ab)-28(orted,)-371(an)-364(error)-364(message)-363(is)-364(prin)28(ted)-364(on)-364(standard)-363(output)-364(with)]TJ 0 -11.955 Td [(a)-448(lev)28(el)-448(of)-447(v)27(erb)-27(osit)27(y)-447(than)-448(can)-448(b)-27(e)-448(c)28(hosen)-448(b)28(y)-448(the)-448(user.)-787(If)-448(the)-448(execution)-447(is)-448(not)]TJ 0 -11.955 Td [(ab)-28(orted,)-328(then,)-329(the)-328(caller)-327(routine)-328(c)28(hec)28(ks)-328(the)-328(v)56(alue)-328(retur)1(ned)-328(in)-328(the)]TJ/F30 9.9626 Tf 285.46 0 Td [(info)]TJ/F8 9.9626 Tf 24.185 0 Td [(v)56(ariable)]TJ -309.645 -11.955 Td [(and,)-359(if)-354(not)-354(zero,)-359(an)-353(e)-1(r)1(ror)-354(condition)-354(is)-354(raised.)-506(This)-354(pro)-28(cess)-354(con)28(tin)28(ues)-354(on)-354(all)-354(the)]TJ 0 -11.955 Td [(lev)28(els)-297(of)-297(nested)-296(calls)-297(un)28(til)-297(the)-296(lev)28(e)-1(l)-296(where)-297(the)-296(user)-297(decides)-297(to)-296(ab)-28(ort)-297(the)-296(program)]TJ 0 -11.955 Td [(execution.)]TJ 14.944 -11.956 Td [(Figure)]TJ +0 0 1 rg 0 0 1 RG + [-353(9)]TJ +0 g 0 G + [-353(sho)28(ws)-353(the)-353(la)28(y)27(out)-353(of)-353(a)-353(generic)]TJ/F30 9.9626 Tf 170.683 0 Td [(psb_foo)]TJ/F8 9.9626 Tf 40.129 0 Td [(routine)-353(with)-353(resp)-28(ect)-353(to)-353(the)]TJ -225.756 -11.955 Td [(PSBLAS-2.0)-326(error)-326(handl)1(ing)-326(p)-28(olicy)83(.)-442(It)-325(is)-326(p)-28(ossible)-326(to)-326(see)-326(ho)28(w,)-327(whenev)27(er)-325(an)-326(error)]TJ 0 -11.955 Td [(condition)-379(is)-378(detected,)-390(the)]TJ/F30 9.9626 Tf 115.439 0 Td [(info)]TJ/F8 9.9626 Tf 24.694 0 Td [(v)56(ariable)-379(is)-379(set)-379(to)-378(the)-379(corresp)-28(onding)-378(error)-379(co)-28(de)]TJ -140.133 -11.955 Td [(whic)28(h)-376(is,)-387(then,)-386(pushed)-376(on)-376(top)-376(of)-376(the)-376(stac)28(k)-376(b)28(y)-376(means)-376(of)-376(the)]TJ/F30 9.9626 Tf 264.703 0 Td [(psb_errpush)]TJ/F8 9.9626 Tf 57.533 0 Td [(.)-572(An)]TJ -322.236 -11.955 Td [(error)-331(condition)-331(ma)28(y)-331(b)-28(e)-331(directly)-331(detected)-331(inside)-331(a)-331(routine)-331(or)-331(indirectly)-331(c)27(hec)28(king)]TJ 0 -11.956 Td [(the)-462(error)-461(co)-28(de)-461(returned)-462(returned)-461(b)28(y)-462(a)-461(called)-462(routine.)-829(Whenev)28(er)-461(an)-462(error)-461(is)]TJ 0 -11.955 Td [(encoun)28(tered,)-459(after)-434(it)-434(has)-434(b)-27(een)-434(pushed)-434(on)-434(stac)28(k,)-459(the)-434(program)-433(exec)-1(u)1(tion)-434(skips)]TJ 0 -11.955 Td [(to)-356(a)-356(p)-27(oin)28(t)-356(where)-356(the)-356(error)-355(c)-1(on)1(dition)-356(is)-356(handled;)-367(the)-355(e)-1(r)1(ror)-356(condition)-356(is)-356(hand)1(le)-1(d)]TJ 0 -11.955 Td [(either)-392(b)28(y)-392(returning)-392(con)28(trol)-392(to)-392(the)-392(caller)-392(r)1(outine)-392(or)-392(b)28(y)-392(calling)-392(the)]TJ/F30 9.9626 Tf 291.408 0 Td [(psb\134_error)]TJ/F8 9.9626 Tf -291.408 -11.955 Td [(routine)-478(whic)28(h)-479(prin)28(ts)-478(the)-478(con)28(ten)27(t)-478(of)-478(the)-478(error)-479(stac)28(k)-478(and)-478(ab)-28(orts)-478(the)-478(program)]TJ 0 -11.955 Td [(execution,)-330(accordin)1(g)-329(to)-329(th)1(e)-329(c)28(hoice)-329(made)-328(b)27(y)-328(the)-329(user)-328(with)]TJ/F30 9.9626 Tf 252.028 0 Td [(psb_set_erraction)]TJ/F8 9.9626 Tf 88.916 0 Td [(.)]TJ -340.944 -11.956 Td [(The)-347(default)-346(is)-347(to)-346(prin)28(t)-347(the)-347(error)-346(and)-347(terminate)-346(the)-347(program,)-350(but)-346(the)-347(user)-346(ma)27(y)]TJ 0 -11.955 Td [(c)28(ho)-28(ose)-333(to)-334(handle)-333(the)-333(error)-334(explicitly)84(.)]TJ 14.944 -11.955 Td [(Figure)]TJ +0 0 1 rg 0 0 1 RG + [-479(10)]TJ 0 g 0 G - 139.477 -139.02 Td [(130)]TJ + [-479(rep)-28(orts)-479(a)-479(sample)-480(error)-479(message)-479(generated)-479(b)28(y)-480(the)-479(PSBLAS-2.0)]TJ -14.944 -11.955 Td [(library)83(.)-451(This)-335(error)-336(has)-335(b)-28(een)-336(generated)-335(b)27(y)-335(the)-336(fact)-335(that)-336(the)-335(use)-1(r)-335(has)-336(c)28(hosen)-336(the)]TJ 0 -11.955 Td [(in)28(v)55(alid)-367(\134F)28(OO")-368(storage)-367(format)-368(to)-367(represen)27(t)-367(the)-368(sparse)-367(matrix.)-547(F)83(rom)-367(this)-368(error)]TJ 0 -11.955 Td [(message)-248(it)-248(is)-248(p)-27(oss)-1(ib)1(le)-248(to)-248(see)-248(that)-248(the)-248(error)-247(has)-248(b)-28(een)-248(detected)-248(inside)-248(the)]TJ/F30 9.9626 Tf 301.869 0 Td [(psb_cest)]TJ/F8 9.9626 Tf -301.869 -11.956 Td [(subroutine)-333(called)-334(b)28(y)]TJ/F30 9.9626 Tf 91.408 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(...)-444(b)27(y)-333(pro)-28(cess)-333(0)-333(\050i.e.)-445(the)-333(ro)-28(ot)-333(pro)-28(cess\051.)]TJ +0 g 0 G + 22.582 -211.304 Td [(127)]TJ 0 g 0 G ET endstream endobj -1753 0 obj +1748 0 obj << -/Length 3661 +/Length 7207 >> stream 0 g 0 G 0 g 0 G +0 g 0 G +0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(mm)]TJ +/F53 8.9664 Tf 159.61 680.066 Td [(s)-60(u)-60(b)-60(r)-60(o)-59(u)-60(t)-60(i)-60(n)-60(e)]TJ/F46 8.9664 Tf 61.471 0 Td [(p)-132(s)-132(b)]TJ ET q -1 0 0 1 123.118 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 239.064 680.265 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 11.9552 Tf 127.153 706.129 Td [(mat)]TJ +/F46 8.9664 Tf 243.014 680.066 Td [(f)-132(o)-132(o)-241(\050)-155(s)-47(o)-47(m)-46(e)-769(a)-105(r)-106(g)-105(s)-376(,)-939(i)-156(n)-156(f)-157(o)-265(\051)]TJ -65.126 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.604 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.409 0 Td [(\050)-259(e)-152(r)-151(r)-151(o)-151(r)-897(d)-129(e)-129(t)-129(e)-130(c)-129(t)-129(e)-130(d)-237(\051)]TJ/F53 8.9664 Tf 93.291 0 Td [(t)-30(h)-30(e)-29(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-129(r)-128(c)-129(o)-129(d)-129(e)-129(1)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ ET q -1 0 0 1 150.936 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 238.765 636.429 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 11.9552 Tf 154.971 706.129 Td [(read)-467(|)-467(Read)-466(a)-467(sparse)-467(matrix)-467(from)-467(a)-467(\014le)-466(in)-467(the)]TJ -55.076 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.009 0 Td [(m)-50(m)]TJ +/F46 8.9664 Tf 242.641 636.23 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-232(\050)-330(')-242(p)-132(s)-133(b)]TJ ET q -1 0 0 1 148.479 668.014 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 310.944 636.429 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 151.965 667.814 Td [(m)-50(a)-50(t)]TJ +/F46 8.9664 Tf 314.894 636.23 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-129(d)-128(e)-129(1)-237(\051)]TJ/F53 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F46 8.9664 Tf 27.969 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F46 8.9664 Tf 2.244 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.957 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.399 0 Td [(p)-114(s)-114(b)]TJ ET q -1 0 0 1 171.214 668.014 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 221.826 592.594 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 174.701 667.814 Td [(r)-50(e)-50(a)-50(d)-155(\050)-139(a)-228(,)-911(i)-149(r)-150(e)-149(t)-460(,)-897(i)-134(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-235(\051)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -74.806 -17.933 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(\014lename)]TJ -0 g 0 G -/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.606 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.956 Td [(whic)28(h)-302(cas)-1(e)-302(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.058 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ -0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(read)-333(from)-334(\014le.)]TJ 14.356 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F46 8.9664 Tf 225.613 592.394 Td [(b)-114(a)-114(r)-223(\050)-155(s)-47(o)-46(m)-47(e)-769(a)-105(r)-105(g)-105(s)-376(,)-939(i)-157(n)-156(f)-157(o)-264(\051)]TJ/F53 8.9664 Tf -48.329 -10.958 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.409 0 Td [(\050)-265(i)-156(n)-157(f)-156(o)-939(.)]TJ/F53 8.9664 Tf 37.83 0 Td [(n)-11(e)]TJ/F46 8.9664 Tf 12.445 0 Td [(.)-910(z)-127(e)-127(r)-128(o)-236(\051)]TJ/F53 8.9664 Tf 43.016 0 Td [(t)-30(h)-30(e)-29(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-129(r)-128(c)-129(o)-129(d)-129(e)-129(2)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ ET q -1 0 0 1 312.036 452.82 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 238.765 559.717 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F30 9.9626 Tf 315.174 452.621 Td [(Tspmat)]TJ +/F46 8.9664 Tf 242.641 559.518 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-232(\050)-330(')-242(p)-132(s)-133(b)]TJ ET q -1 0 0 1 347.183 452.82 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 310.944 559.717 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F30 9.9626 Tf 350.322 452.621 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -271.348 -19.925 Td [(iret)]TJ -0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ -0 g 0 G - 139.477 -318.348 Td [(131)]TJ -0 g 0 G -ET - -endstream -endobj -1759 0 obj -<< -/Length 3696 ->> -stream -0 g 0 G -0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(mm)]TJ +/F46 8.9664 Tf 314.894 559.518 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-129(d)-128(e)-129(2)-237(\051)]TJ/F53 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F46 8.9664 Tf 27.969 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F46 8.9664 Tf 2.244 -10.959 Td [(.)-248(.)-249(.)]TJ -18.077 -10.959 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf 27.419 0 Td [(c)-57(o)-57(n)-57(t)-56(i)-57(n)-57(u)-57(e)]TJ -9.946 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 15.938 0 Td [(\050)-273(e)-164(r)-165(r)]TJ ET q -1 0 0 1 173.928 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 215.536 504.923 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 11.9552 Tf 177.963 706.129 Td [(arra)31(y)]TJ +/F46 8.9664 Tf 219.774 504.723 Td [(a)-164(c)-165(t)-946(.)]TJ/F53 8.9664 Tf 27.965 0 Td [(e)-22(q)]TJ/F46 8.9664 Tf 12.346 0 Td [(.)-923(a)-141(c)-141(t)]TJ ET q -1 0 0 1 209.557 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 287.553 504.923 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 11.9552 Tf 213.592 706.129 Td [(read)-504(|)-504(Read)-504(a)-504(dense)-504(ar)1(ra)31(y)-504(from)-504(a)-504(\014le)-504(in)-504(the)]TJ -62.887 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.373 0 Td [(m)-86(m)]TJ +/F46 8.9664 Tf 291.582 504.723 Td [(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F53 8.9664 Tf 39.166 0 Td [(t)-30(h)-29(e)-30(n)]TJ -142.758 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.681 0 Td [(p)-146(s)-145(b)]TJ ET q -1 0 0 1 200.38 668.014 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 234.014 493.964 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 204.23 667.814 Td [(a)-86(r)-87(r)-86(a)-87(y)]TJ +/F46 8.9664 Tf 238.084 493.764 Td [(e)-146(r)-145(r)-146(o)-145(r)-254(\050)-252(i)-144(c)-143(o)-144(n)-143(t)-143(x)-144(t)-252(\051)]TJ/F53 8.9664 Tf -50.844 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -10.529 -10.958 Td [(e)-117(l)-117(s)-117(e)]TJ 10.529 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -11.596 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ -16.588 -21.918 Td [(e)2(n)2(d)-675(s)-60(u)-59(b)-60(r)-60(o)-60(u)-60(t)-60(i)-60(n)-60(e)]TJ/F46 8.9664 Tf 84.142 0 Td [(p)-132(s)-132(b)]TJ ET q -1 0 0 1 232.16 668.014 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 261.181 428.21 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 236.01 667.814 Td [(r)-86(e)-87(a)-86(d)-192(\050)-121(b)-191(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-234(\051)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -85.305 -17.933 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F46 8.9664 Tf 265.131 428.011 Td [(f)-132(o)-132(o)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(\014lename)]TJ -0 g 0 G -/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.607 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)28(haracte)-1(r)-435(v)56(ariable)-435(con)28(taining)-435(a)-436(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.145 -11.956 Td [(whic)28(h)-302(case)-303(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.057 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ +ET +q +1 0 0 1 150.705 701.884 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +q +1 0 0 1 150.904 410.576 cm +[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S +Q +q +1 0 0 1 497.088 410.576 cm +[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S +Q +q +1 0 0 1 150.705 410.576 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +BT +/F8 9.9626 Tf 150.705 382.537 Td [(Figure)-329(9:)-443(The)-329(la)27(y)28(out)-329(of)-330(a)-329(generic)]TJ/F30 9.9626 Tf 147.445 0 Td [(psb)]TJ +ET +q +1 0 0 1 314.468 382.736 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 317.606 382.537 Td [(foo)]TJ/F8 9.9626 Tf 18.974 0 Td [(routine)-329(with)-330(resp)-28(ect)-329(to)-329(PSBLAS-2.0)]TJ -185.875 -11.955 Td [(error)-333(handling)-333(p)-28(olicy)83(.)]TJ 0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(an)1(ingful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(b)]TJ 0 g 0 G -/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(side\050s\051.)]TJ 13.561 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-310(arra)28(y)-310(of)-310(t)28(yp)-28(e)-310(real)-310(or)-310(complex,)-315(ran)1(k)-310(1)-310(or)-310(2)-310(and)-310(ha)28(ving)-310(the)-310(ALLOCA)83(T-)]TJ 0 -11.955 Td [(ABLE)-334(attribute;)-334(will)-333(b)-28(e)-334(allo)-27(c)-1(ated)-333(and)-334(\014lled)-334(in)-333(if)-334(the)-334(input)-333(\014le)-334(con)28(tains)-334(a)]TJ 0 -11.955 Td [(righ)28(t)-333(hand)-334(side,)-333(otherwise)-333(will)-334(b)-27(e)-334(left)-333(in)-333(the)-334(UNALLOCA)84(TED)-334(state.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(iret)]TJ +/F30 9.9626 Tf 8.368 -39.475 Td [(==========================================================)]TJ 0 -11.955 Td 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[(Format)-525(FOO)-525(is)-525(unknown)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Aborting...)]TJ +ET +q +1 0 0 1 150.705 343.417 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +q +1 0 0 1 150.904 165.307 cm +[]0 d 0 J 0.398 w 0 0 m 0 178.111 l S +Q +q +1 0 0 1 497.088 165.307 cm +[]0 d 0 J 0.398 w 0 0 m 0 178.111 l S +Q +q +1 0 0 1 150.705 165.307 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +BT +/F8 9.9626 Tf 150.705 137.267 Td [(Figure)-386(10:)-551(A)-386(sample)-386(PSBLAS-2.0)-387(err)1(or)-387(message.)-603(Pro)-28(cess)-387(0)-386(detected)-386(an)-387(error)]TJ 0 -11.955 Td [(condition)-333(inside)-334(t)1(he)-334(psb)]TJ +ET +q +1 0 0 1 255.468 125.512 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 258.457 125.312 Td [(cest)-333(subroutine)]TJ 0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 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0 1 RG -/F30 9.9626 Tf 194.05 0 Td [(psb)]TJ +BT +/F16 11.9552 Tf 150.705 706.129 Td [(9.1)-1588(h)32(b)]TJ ET q -1 0 0 1 335.171 580.809 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 202.248 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 338.309 580.61 Td [(Tspmat)]TJ +/F16 11.9552 Tf 206.283 706.129 Td [(read)-463(|)-462(Read)-463(a)-462(sparse)-463(matrix)-463(from)-462(a)-463(\014le)-463(in)-462(the)]TJ -24.943 -13.948 Td [(Harw)31(ell{Bo)-31(eing)-375(format)]TJ/F27 9.9626 Tf -29.258 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.554 0 Td [(h)-105(b)]TJ ET q -1 0 0 1 370.319 580.809 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 195.388 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 373.457 580.61 Td [(type)]TJ +/F8 9.9626 Tf 199.42 667.814 Td [(r)-105(e)-104(a)-105(d)-210(\050)-139(a)-228(,)-910(i)-150(r)-150(e)-149(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-877(f)-116(i)-116(l)-116(e)-116(n)-117(a)-116(m)-116(e)-393(,)-776(b)-191(,)-902(m)-142(t)-141(i)-141(t)-141(l)-142(e)-246(\051)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -294.484 -22.879 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 273.115 0 Td [(psb)]TJ -ET -q -1 0 0 1 414.236 510.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 417.374 509.91 Td [(prec)]TJ -ET -q -1 0 0 1 438.923 510.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 442.061 509.91 Td [(type)]TJ +/F27 9.9626 Tf -48.715 -17.933 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -342.166 -34.833 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 475.276 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 475.077 Td [(a)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.606 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)28(haracte)-1(r)-435(v)56(ariable)-435(con)28(taining)-435(a)-436(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.145 -11.956 Td [(whic)28(h)-302(case)-303(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.057 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(an)1(ingful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(desc)-1(ri)1(ptor)-334(data)-333(structure)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(read)-333(from)-334(\014le.)]TJ 14.356 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 247.683 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 388.803 439.41 cm +1 0 0 1 362.845 452.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 391.942 439.211 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 452.621 Td [(Tspmat)]TJ ET q -1 0 0 1 413.491 439.41 cm +1 0 0 1 397.993 452.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 416.629 439.211 Td [(type)]TJ +/F30 9.9626 Tf 401.131 452.621 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -337.655 -22.879 Td [(amold)]TJ +/F27 9.9626 Tf -271.347 -19.925 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(sid)1(e)-1(\050s\051.)]TJ 13.56 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(An)-282(arr)1(a)27(y)-281(of)-282(t)28(yp)-28(e)-281(real)-282(or)-281(complex,)-292(rank)-282(2)-281(and)-282(ha)28(ving)-281(the)-282(ALLOCA)83(T)84(ABLE)]TJ 0 -11.956 Td [(attribute;)-409(will)-384(b)-28(e)-384(allo)-28(cated)-384(and)-383(\014lled)-384(in)-384(if)-384(the)-384(input)-384(\014le)-384(con)28(tains)-384(a)-384(righ)28(t)]TJ 0 -11.955 Td [(hand)-333(side,)-334(otherwise)-333(will)-333(b)-28(e)-333(left)-334(in)-333(the)-333(UNALLOCA)83(TED)-333(state.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.925 Td [(m)32(title)]TJ +0 g 0 G +/F8 9.9626 Tf 34.737 0 Td [(Matrix)-333(title.)]TJ -9.831 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(A)-405(c)28(harac)28(h)28(ter)-405(v)56(ariable)-405(of)-405(length)-404(72)-405(holding)-405(a)-404(cop)27(y)-404(of)-405(the)-405(matrix)-404(title)-405(as)]TJ 0 -11.956 Td [(sp)-28(eci\014ed)-333(b)28(y)-334(the)-333(Harw)28(ell-Bo)-28(eing)-333(format)-334(and)-333(con)28(tained)-333(in)-334(the)-333(input)-333(\014le.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.317 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +0 g 0 G + 139.477 -194.811 Td [(134)]TJ 0 g 0 G -/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ -ET -q -1 0 0 1 344.47 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 347.608 368.512 Td [(T)]TJ ET -q -1 0 0 1 353.466 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q + +endstream +endobj +1816 0 obj +<< +/Length 5264 +>> +stream +0 g 0 G +0 g 0 G BT -/F30 9.9626 Tf 356.604 368.512 Td [(base)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(9.2)-1125(h)31(b)]TJ ET q -1 0 0 1 378.153 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 145.908 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 381.291 368.512 Td [(sparse)]TJ +/F16 11.9552 Tf 149.943 706.129 Td [(write)-573(|)-574(W)94(rite)-574(a)-573(sparse)-574(matrix)-573(to)-574(a)-573(\014le)-574(in)-573(the)]TJ -19.412 -13.948 Td [(Harw)31(ell{Bo)-31(eing)-375(format)]TJ/F27 9.9626 Tf -29.259 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.734 0 Td [(h)-123(b)]TJ ET q -1 0 0 1 413.301 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 145.117 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 416.439 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ +/F8 9.9626 Tf 149.328 667.814 Td [(w)-123(r)-122(i)-123(t)-123(e)-228(\050)-139(a)-228(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-877(f)-116(i)-116(l)-116(e)-116(n)-116(a)-116(m)-117(e)-393(,)-821(k)-60(e)-60(y)-281(,)-853(r)-92(h)-91(s)-345(,)-902(m)-141(t)-142(i)-141(t)-141(l)-141(e)-247(\051)]TJ 0 g 0 G -/F27 9.9626 Tf -332.235 -22.879 Td [(vmold)]TJ 0 g 0 G -/F8 9.9626 Tf 35.852 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ -ET -q -1 0 0 1 344.47 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 347.608 297.812 Td [(T)]TJ +0 g 0 G +/F27 9.9626 Tf -49.433 -17.933 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(to)-333(b)-28(e)-333(written.)]TJ 14.356 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 353.466 298.012 cm +1 0 0 1 312.036 586.32 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 356.604 297.812 Td [(base)]TJ +/F30 9.9626 Tf 315.174 586.121 Td [(Tspmat)]TJ ET q -1 0 0 1 378.153 298.012 cm +1 0 0 1 347.183 586.32 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 381.291 297.812 Td [(vect)]TJ +/F30 9.9626 Tf 350.322 586.121 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.348 -19.926 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.347 0 Td [(Rigth)-333(hand)-333(s)-1(i)1(de.)]TJ 13.56 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-282(ar)1(ra)27(y)-281(of)-282(t)28(yp)-28(e)-281(real)-282(or)-281(complex,)-292(rank)-282(1)-281(and)-282(ha)28(ving)-281(the)-282(ALLOCA)83(T)84(ABLE)]TJ 0 -11.955 Td [(attribute;)-409(will)-384(b)-28(e)-384(allo)-28(cated)-384(an)1(d)-384(\014lled)-384(in)-384(if)-384(the)-384(input)-384(\014le)-384(con)28(tains)-384(a)-384(righ)28(t)]TJ 0 -11.955 Td [(hand)-333(side.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written)-333(to.)]TJ -21.606 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.955 Td [(whic)28(h)-281(case)-280(the)-280(default)-281(output)-280(unit)-280(6)-281(\050i.e.)-426(s)-1(t)1(andard)-281(output)-280(in)-280(Unix)-281(jargon\051)]TJ 0 -11.955 Td [(is)-333(used.)-445(Default:)]TJ/F30 9.9626 Tf 76.076 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -106.213 -19.926 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -19.925 Td [(k)32(ey)]TJ +0 g 0 G +/F8 9.9626 Tf 22.008 0 Td [(Matrix)-333(k)28(ey)83(.)]TJ 2.899 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(A)-385(c)28(harac)28(h)28(ter)-385(v)56(ariable)-385(of)-385(length)-384(8)-385(holding)-385(the)-384(m)-1(atri)1(x)-385(k)28(ey)-385(as)-385(sp)-28(eci\014ed)-384(b)27(y)]TJ 0 -11.955 Td [(the)-333(Harw)27(ell-Bo)-27(eing)-334(format)-333(and)-333(to)-334(b)-27(e)-334(written)-333(to)-333(\014le.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(m)32(title)]TJ +0 g 0 G +/F8 9.9626 Tf 34.738 0 Td [(Matrix)-333(title.)]TJ -9.831 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(A)-318(c)28(harac)28(h)28(ter)-318(v)56(ariable)-318(of)-317(length)-318(72)-317(holding)-318(the)-317(m)-1(atr)1(ix)-318(title)-318(as)-317(sp)-28(eci\014ed)-318(b)28(y)]TJ 0 -11.956 Td [(the)-333(Harw)27(ell-Bo)-27(eing)-334(format)-333(and)-333(to)-334(b)-27(e)-334(written)-333(to)-333(\014le.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.917 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.926 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 139.477 -139.02 Td [(135)]TJ +0 g 0 G ET -q -1 0 0 1 402.84 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 405.978 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ + +endstream +endobj +1823 0 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[(w)-98(r)-99(i)-98(t)-99(e)-204(\050)-120(b)-191(,)-911(i)-149(r)-150(e)-149(t)-461(,)-896(i)-134(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-235(\051)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(iout)]TJ 0 g 0 G -/F8 9.9626 Tf 24.713 0 Td [(output)-333(unit.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 89.94 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -89.747 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(n)27(um)28(b)-28(er.)-444(Default:)-444(default)-334(outpu)1(t)-334(unit.)]TJ +/F27 9.9626 Tf -86.503 -17.933 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(ro)-32(ot)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F8 9.9626 Tf 25.93 0 Td 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Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ -ET -q -1 0 0 1 389.467 502.634 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 392.606 502.434 Td [(prec)]TJ ET q -1 0 0 1 414.155 502.634 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 99.895 129.78 cm +[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F30 9.9626 Tf 417.293 502.434 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(info)]TJ +/F32 5.9776 Tf 110.987 123.138 Td [(4)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(The)-354(string)-354(is)-355(case-insensitiv)30(e)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 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[(10.2)-1125(build)-375(|)-375(Builds)-375(a)-375(preconditioner)]TJ 0 g 0 G - 91.159 -569.96 Td [(143)]TJ 0 g 0 G -ET - -endstream -endobj -1834 0 obj -<< -/Length 8299 ->> -stream +/F30 9.9626 Tf 0 -19.764 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ 0 g 0 G +/F27 9.9626 Tf 0 -24.132 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(krylo)31(v)-375(|)-375(Krylo)31(v)-375(Metho)-31(ds)-375(Driv)31(er)-375(Routine)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-343(subroutine)-342(is)-343(a)-343(driv)28(er)-343(that)-342(pro)27(vi)1(des)-343(a)-343(general)-343(in)28(terface)-343(for)-342(all)-343(the)-343(Krylo)28(v-)]TJ 0 -11.956 Td [(Subspace)-333(family)-334(metho)-27(ds)-334(implemen)28(ted)-333(in)-334(PSBLAS)-333(v)28(ersion)-333(2.)]TJ 14.944 -11.955 Td [(The)-333(stopping)-334(criterion)-333(can)-333(tak)28(e)-334(the)-333(follo)28(wing)-334(v)56(alues:)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.944 -19.102 Td [(1)]TJ +/F27 9.9626 Tf -33.797 -22.879 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -22.879 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.71 0 Td [(norm)28(wise)-334(bac)28(kw)28(ard)-333(error)-334(in)-333(the)-333(in\014nit)28(y)-334(norm;)-333(the)-333(iteration)-333(is)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 109.582 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.95 0 Td [(=)]TJ/F14 9.9626 Tf 38.11 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(system)-334(sparse)-333(matrix.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 148.886 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -134.53 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(sparse)-333(matrix)-334(d)1(ata)-334(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 194.05 0 Td [(psb)]TJ ET q -1 0 0 1 299.658 621.14 cm -[]0 d 0 J 0.398 w 0 0 m 70.572 0 l S +1 0 0 1 385.981 580.809 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 299.658 611.815 Td [(\050)]TJ/F14 9.9626 Tf 3.875 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(kk)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf 7.196 0 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F8 9.9626 Tf 4.981 0 Td [(\051)]TJ/F11 9.9626 Tf 7.838 6.834 Td [(<)-278(eps)]TJ -0 g 0 G -/F27 9.9626 Tf -223.488 -29.952 Td [(2)]TJ -0 g 0 G -/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(in)-333(the)-333(2-norm;)-334(the)-333(iteration)-333(is)-334(stopp)-27(ed)-334(when)]TJ/F11 9.9626 Tf 135.514 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.95 0 Td [(=)]TJ/F14 9.9626 Tf 12.178 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F30 9.9626 Tf 389.119 580.61 Td [(Tspmat)]TJ ET q -1 0 0 1 325.59 565.11 cm -[]0 d 0 J 0.398 w 0 0 m 18.708 0 l S +1 0 0 1 421.128 580.809 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F14 9.9626 Tf 325.59 555.785 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.433 8.328 Td [(<)-278(eps)]TJ +/F30 9.9626 Tf 424.267 580.61 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -197.556 -29.952 Td [(3)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -294.483 -22.879 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(reduction)-333(in)-333(the)-334(2-norm;)-333(the)-333(iteration)-334(is)-333(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 133.17 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 14.523 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 273.115 0 Td [(psb)]TJ ET q -1 0 0 1 323.246 509.08 cm -[]0 d 0 J 0.398 w 0 0 m 23.396 0 l S +1 0 0 1 465.045 510.11 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F14 9.9626 Tf 323.246 499.755 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F7 6.9738 Tf 4.495 -1.494 Td [(0)]TJ/F14 9.9626 Tf 4.469 1.494 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -199.9 -30.505 Td [(The)-442(b)-28(eha)28(viour)-443(is)-442(con)27(t)1(rolled)-443(b)28(y)-443(th)1(e)-443(istop)-442(argumen)27(t)-442(\050see)-443(later\051.)-771(In)-443(the)-442(ab)-28(o)28(v)28(e)]TJ 0 -11.955 Td [(form)28(ulae,)]TJ/F11 9.9626 Tf 43.127 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.855 1.495 Td [(is)-255(the)-255(ten)28(tativ)28(e)-255(solution)-255(and)]TJ/F11 9.9626 Tf 122.118 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.085 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 4.925 0 Td [(\000)]TJ/F11 9.9626 Tf 8.399 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.165 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(the)-255(corresp)-28(onding)-254(residual)]TJ -230.234 -11.956 Td [(at)-333(the)]TJ/F11 9.9626 Tf 29.334 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(-th)-333(iteration.)]TJ/F27 9.9626 Tf -31.39 -17.52 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.763 0 Td [(p)-126(s)-125(b)]TJ +/F30 9.9626 Tf 468.184 509.91 Td [(prec)]TJ ET q -1 0 0 1 201.196 434.852 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 489.733 510.11 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 205.436 434.653 Td [(k)-126(r)-125(y)-126(l)-125(o)-126(v)-231(\050)-146(m)-40(e)-41(t)-40(h)-40(o)-40(d)-242(,)-194(a)-228(,)-255(p)-94(r)-94(e)-94(c)-349(,)-176(b)-191(,)-185(x)-209(,)-243(e)-81(p)-81(s)-323(,)-274(d)-113(e)-112(s)-113(c)]TJ +/F30 9.9626 Tf 492.871 509.91 Td [(type)]TJ +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -342.166 -34.833 Td [(desc)]TJ ET q -1 0 0 1 402.384 434.852 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 172.619 475.276 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 406.495 434.653 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -226.787 -11.956 Td [(&)-579(i)-67(t)-67(m)-68(a)-67(x)-296(,)-311(i)-150(t)-149(e)-150(r)-460(,)]TJ/F27 9.9626 Tf 79.243 0 Td [(e)-65(r)-65(r)]TJ/F8 9.9626 Tf 18.89 0 Td [(,)-305(i)-144(t)-144(r)-144(a)-144(c)-145(e)-449(,)-319(i)-158(r)-158(s)-158(t)-476(,)-288(i)-126(s)-126(t)-126(o)-127(p)-413(,)-230(c)-69(o)-69(n)-69(d)-174(\051)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -127.136 -26.454 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.513 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.514 Td [(metho)-32(d)]TJ -0 g 0 G -/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-235(the)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.106 -11.955 Td [(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -19.513 Td [(CG:)]TJ -0 g 0 G -/F8 9.9626 Tf 25.447 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -25.447 -15.529 Td [(CGS:)]TJ -0 g 0 G -/F8 9.9626 Tf 31.812 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -31.812 -15.528 Td [(GCR:)]TJ -0 g 0 G -/F8 9.9626 Tf 34.039 0 Td [(the)-333(Generalized)-334(Conjugate)-333(Residual)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -34.039 -15.529 Td [(F)32(CG:)]TJ -0 g 0 G -/F8 9.9626 Tf 32.337 0 Td [(the)-333(Flexible)-334(Conjugate)-333(Gradien)28(t)-333(me)-1(th)1(o)-28(d)]TJ -0 0 1 rg 0 0 1 RG -/F7 6.9738 Tf 177.626 3.616 Td [(5)]TJ -0 g 0 G -/F8 9.9626 Tf 4.47 -3.616 Td [(;)]TJ -0 g 0 G -/F27 9.9626 Tf -214.433 -15.528 Td [(BICG:)]TJ -0 g 0 G -/F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -37.941 -15.529 Td [(BICGST)96(AB:)]TJ -0 g 0 G -/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(me)-1(th)1(o)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -68.133 -15.528 Td [(BICGST)96(ABL:)]TJ -0 g 0 G -/F8 9.9626 Tf 75.024 0 Td [(the)-222(Bi-Conjugate)-222(Gradien)27(t)-222(Stabilized)-222(metho)-28(d)-222(with)-222(restart-)]TJ -53.106 -11.955 Td [(ing;)]TJ -0 g 0 G -/F27 9.9626 Tf -21.918 -15.529 Td [(R)32(GMRES:)]TJ -0 g 0 G -/F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ -0 g 0 G -/F27 9.9626 Tf -83.713 -19.513 Td [(a)]TJ +/F27 9.9626 Tf 176.057 475.077 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.969 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.085 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(,)-333(target.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(des)-1(crip)1(tor)-334(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 247.683 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 137.958 cm +1 0 0 1 439.613 439.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 137.759 Td [(Tspmat)]TJ +/F30 9.9626 Tf 442.751 439.211 Td [(desc)]TJ ET q -1 0 0 1 397.993 137.958 cm +1 0 0 1 464.3 439.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.131 137.759 Td [(type)]TJ +/F30 9.9626 Tf 467.438 439.211 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -337.655 -22.879 Td [(amold)]TJ +0 g 0 G +/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.348 0 Td [(psb)]TJ ET q -1 0 0 1 150.705 129.78 cm -[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S +1 0 0 1 395.279 368.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F32 5.9776 Tf 161.797 123.138 Td [(5)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(Note:)-472(the)-354(i)-1(mplemen)30(tation)-354(is)-354(for)]TJ/F33 7.9701 Tf 120.249 0 Td [(F)-148(C)-70(G)]TJ/F31 7.9701 Tf 19.733 0 Td [(\0501\051.)]TJ -0 g 0 G -0 g 0 G -/F8 9.9626 Tf 9.158 -29.888 Td [(144)]TJ -0 g 0 G +/F30 9.9626 Tf 398.417 368.512 Td [(T)]TJ ET - -endstream -endobj -1846 0 obj -<< -/Length 7119 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G +q +1 0 0 1 404.275 368.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q BT -/F27 9.9626 Tf 99.895 706.129 Td [(prec)]TJ -0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 407.413 368.512 Td [(base)]TJ ET q -1 0 0 1 312.036 658.507 cm +1 0 0 1 428.962 368.711 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 658.308 Td [(prec)]TJ +/F30 9.9626 Tf 432.101 368.512 Td [(sparse)]TJ ET q -1 0 0 1 336.723 658.507 cm +1 0 0 1 464.11 368.711 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 658.308 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 467.248 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -22.202 Td [(b)]TJ +/F27 9.9626 Tf -332.234 -22.879 Td [(vmold)]TJ 0 g 0 G -/F8 9.9626 Tf 11.347 0 Td [(The)-333(RHS)-334(v)28(ector.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ +/F8 9.9626 Tf 35.851 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ ET q -1 0 0 1 364.616 588.484 cm +1 0 0 1 395.279 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 367.754 588.285 Td [(T)]TJ +/F30 9.9626 Tf 398.417 297.812 Td [(T)]TJ ET q -1 0 0 1 373.612 588.484 cm +1 0 0 1 404.275 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 376.751 588.285 Td [(vect)]TJ +/F30 9.9626 Tf 407.413 297.812 Td [(base)]TJ ET q -1 0 0 1 398.3 588.484 cm +1 0 0 1 428.962 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.438 588.285 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 432.101 297.812 Td [(vect)]TJ +ET +q +1 0 0 1 453.65 298.012 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 456.788 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -322.464 -22.202 Td [(x)]TJ +/F27 9.9626 Tf -327.004 -22.878 Td [(imold)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ +/F8 9.9626 Tf 32.987 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(in)27(teger)-333(v)28(ector)-334(storage.)]TJ -8.081 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(ob)-56(ject)-222(of)-222(a)-222(class)-223(deriv)28(ed)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 233.542 0 Td [(psb)]TJ ET q -1 0 0 1 364.616 518.461 cm +1 0 0 1 425.471 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 367.754 518.262 Td [(T)]TJ +/F30 9.9626 Tf 428.61 227.113 Td [(T)]TJ ET q -1 0 0 1 373.612 518.461 cm +1 0 0 1 434.468 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 376.751 518.262 Td [(vect)]TJ +/F30 9.9626 Tf 437.606 227.113 Td [(base)]TJ ET q -1 0 0 1 398.3 518.461 cm +1 0 0 1 459.155 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.438 518.262 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -322.464 -22.203 Td [(eps)]TJ -0 g 0 G -/F8 9.9626 Tf 21.117 0 Td [(The)-333(stopping)-334(tolerance.)]TJ 3.79 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -22.203 Td [(desc)]TJ +/F30 9.9626 Tf 462.293 227.113 Td [(vect)]TJ ET q -1 0 0 1 121.81 426.236 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 483.842 227.312 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 125.247 426.036 Td [(a)]TJ +/F30 9.9626 Tf 486.98 227.113 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -357.196 -24.133 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -22.879 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.502 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(precondtioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 194.77 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 378.415 cm +1 0 0 1 386.7 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 378.216 Td [(desc)]TJ +/F30 9.9626 Tf 389.838 132.281 Td [(prec)]TJ ET q -1 0 0 1 336.723 378.415 cm +1 0 0 1 411.387 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 378.216 Td [(type)]TJ +/F30 9.9626 Tf 414.525 132.281 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -22.203 Td [(itmax)]TJ +/F8 9.9626 Tf -99.437 -41.843 Td [(142)]TJ 0 g 0 G -/F8 9.9626 Tf 33.783 0 Td [(The)-333(maxim)27(um)-333(n)28(um)28(b)-28(er)-333(of)-334(iterations)-333(to)-333(p)-28(erform.)]TJ -8.876 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itmax)]TJ/F8 9.9626 Tf 29.504 0 Td [(=)-278(1000.)]TJ -68.94 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F11 9.9626 Tf 142.079 0 Td [(itmax)]TJ/F14 9.9626 Tf 29.504 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(1.)]TJ +ET + +endstream +endobj +1868 0 obj +<< +/Length 1094 +>> +stream 0 g 0 G -/F27 9.9626 Tf -207.006 -22.202 Td [(itrace)]TJ 0 g 0 G -/F8 9.9626 Tf 33.251 0 Td [(If)]TJ/F11 9.9626 Tf 8.911 0 Td [(>)]TJ/F8 9.9626 Tf 10.517 0 Td [(0)-228(prin)28(t)-228(out)-228(an)-227(informational)-228(message)-228(ab)-28(out)-228(con)28(v)28(ergence)-228(ev)28(e)-1(r)1(y)]TJ/F11 9.9626 Tf 265.015 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf -292.787 -11.955 Td [(iterations.)-444(If)-334(=)-277(0)-334(prin)28(t)-333(a)-334(message)-333(in)-333(case)-334(of)-333(con)28(v)27(ergence)-333(failure.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf 28.785 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.748 0 Td [(1.)]TJ 0 g 0 G -/F27 9.9626 Tf -111.392 -34.158 Td [(irst)]TJ +BT +/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 21.857 0 Td [(An)-333(in)28(te)-1(ger)-333(sp)-28(ecifying)-333(the)-333(restart)-334(parameter.)]TJ 3.05 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(V)83(alues:)]TJ/F11 9.9626 Tf 37.506 0 Td [(ir)-28(st)-447(>)]TJ/F8 9.9626 Tf 33.135 0 Td [(0.)-750(This)-435(is)-435(emplo)28(y)28(e)-1(d)-435(for)-435(the)-435(BiCGST)84(AB)-1(L)-435(or)-435(R)28(GMRES)]TJ -70.641 -11.955 Td [(metho)-28(ds,)-333(otherwise)-334(it)-333(is)-333(ignored.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ -24.907 -21.918 Td [(The)]TJ/F30 9.9626 Tf 21.638 0 Td [(amold)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 7.536 0 Td [(vmold)]TJ/F8 9.9626 Tf 30.631 0 Td [(and)]TJ/F30 9.9626 Tf 20.531 0 Td [(imold)]TJ/F8 9.9626 Tf 30.631 0 Td [(argumen)28(ts)-450(ma)28(y)-450(b)-27(e)-450(emplo)28(y)27(ed)-449(to)-450(in)28(terface)-450(with)]TJ -137.119 -11.955 Td [(sp)-28(ecial)-333(devices,)-334(suc)28(h)-333(as)-334(GPUs)-333(and)-333(other)-333(ac)-1(celerators.)]TJ 0 g 0 G - 139.477 -29.888 Td [(145)]TJ + 164.384 -533.997 Td [(143)]TJ 0 g 0 G ET endstream endobj -1852 0 obj +1876 0 obj << -/Length 4673 +/Length 5862 >> stream 0 g 0 G 0 g 0 G -0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(istop)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(10.3)-1125(apply)-375(|)-375(Preconditioner)-375(application)-375(routine)]TJ 0 g 0 G -/F8 9.9626 Tf 29.232 0 Td [(An)-333(in)28(tege)-1(r)-333(sp)-28(ecifying)-333(the)-333(stopping)-333(c)-1(r)1(iterion.)]TJ -4.326 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(V)83(alues:)-478(1:)-479(use)-351(the)-350(norm)28(wise)-351(bac)28(kw)28(ard)-351(error,)-354(2:)-479(use)-350(the)-351(scaled)-350(2-norm)-351(of)]TJ 0 -11.955 Td [(the)-333(residual,)-334(3:)-444(use)-333(the)-334(residual)-333(reduction)-333(in)-334(the)-333(2-norm.)-444(Default:)-445(2.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(On)-383(Return)]TJ +/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.956 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ 0 g 0 G +/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G - 0 -19.926 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(computed)-334(solution.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.33 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ +/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ +ET +q +1 0 0 1 389.467 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ +ET +q +1 0 0 1 414.155 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -287.509 -19.925 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(source)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.851 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -99.972 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 223.495 0 Td [(psb)]TJ ET q -1 0 0 1 415.426 558.881 cm +1 0 0 1 415.426 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 558.682 Td [(T)]TJ +/F30 9.9626 Tf 418.564 522.36 Td [(T)]TJ ET q -1 0 0 1 424.422 558.881 cm +1 0 0 1 424.422 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 558.682 Td [(vect)]TJ +/F30 9.9626 Tf 427.56 522.36 Td [(vect)]TJ ET q -1 0 0 1 449.109 558.881 cm +1 0 0 1 449.109 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 558.682 Td [(type)]TJ +/F30 9.9626 Tf 452.247 522.36 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -322.464 -19.925 Td [(iter)]TJ -0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(iterations)-333(p)-28(erformed.)]TJ 2.317 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Returned)-333(as:)-445(an)-333(in)28(teger)-334(v)56(ariable.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(err)]TJ -0 g 0 G -/F8 9.9626 Tf 19.669 0 Td [(The)-333(con)27(v)28(ergence)-333(estimate)-334(on)-333(exit.)]TJ 5.237 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Returned)-333(as:)-445(a)-333(real)-333(n)27(um)28(b)-28(er.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(cond)]TJ -0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(An)-280(estimate)-280(of)-279(the)-280(condition)-280(n)28(um)28(b)-28(er)-280(of)-279(matrix)]TJ/F11 9.9626 Tf 204.226 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(;)-298(only)-279(a)28(v)55(ailable)-280(with)-279(the)]TJ/F11 9.9626 Tf -215.324 -11.956 Td [(C)-72(G)]TJ/F8 9.9626 Tf 18.988 0 Td [(metho)-28(d)-333(on)-333(real)-334(data.)]TJ -18.988 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Returned)-287(as:)-421(a)-287(real)-287(n)28(um)28(b)-28(er.)-429(A)-287(correct)-287(result)-286(will)-287(b)-28(e)-287(greater)-287(than)-287(or)-286(equal)]TJ 0 -11.955 Td [(to)-267(one;)-288(if)-267(sp)-28(eci\014ed)-266(for)-267(non-real)-266(data,)-280(or)-266(an)-267(error)-266(o)-28(ccurred,)-280(zero)-267(is)-266(returned.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ -0 g 0 G - 139.477 -173.35 Td [(146)]TJ -0 g 0 G +/F27 9.9626 Tf -322.464 -19.926 Td [(desc)]TJ ET - -endstream -endobj -1856 0 obj -<< -/Length 7014 ->> -stream -0 g 0 G -0 g 0 G +q +1 0 0 1 172.619 502.634 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q BT -/F16 14.3462 Tf 99.895 706.129 Td [(References)]TJ -0 g 0 G -/F8 9.9626 Tf 4.982 -21.821 Td [([1])]TJ -0 g 0 G - [-500(D.)-441(Barbieri,)-468(V.)-441(Cardellini,)-467(S.)-441(Filipp)-28(one)-441(and)-441(D.)-441(Rouson)]TJ/F17 9.9626 Tf 267.833 0 Td [(Design)-457(Patterns)]TJ -252.336 -11.955 Td [(for)-441(S)-1(ci)1(ent)-1(i)1(\014)-1(c)-441(Computations)-442(on)-441(Sp)51(arse)-441(Matric)51(es)]TJ/F8 9.9626 Tf 210.802 0 Td [(,)-447(HPSS)-424(2011,)-447(Algorithms)]TJ -210.802 -11.955 Td [(and)-375(Programming)-374(T)83(o)-28(ols)-375(for)-374(Next-Generation)-375(High-P)28(erformance)-375(Scien)28(ti\014c)]TJ 0 -11.956 Td [(Soft)28(w)28(are,)-334(Bordeaux,)-333(Sep.)-333(2011)]TJ -0 g 0 G - -15.497 -18.666 Td [([2])]TJ -0 g 0 G - [-500(G.)-341(Bella,)-343(S.)-341(Filipp)-28(one,)-343(A.)-341(De)-341(Maio)-341(and)-341(M.)-341(T)84(esta,)]TJ/F17 9.9626 Tf 235.488 0 Td [(A)-365(Simulation)-365(Mo)51(del)-364(for)]TJ -219.991 -11.955 Td [(F)77(or)51(est)-365(Fir)51(es)]TJ/F8 9.9626 Tf 52.03 0 Td [(,)-343(in)-341(J.)-340(Dongarra,)-343(K.)-341(Madsen,)-343(J.)-341(W)84(asniewski,)-343(editors,)-343(Pro)-28(ceed-)]TJ -52.03 -11.955 Td [(ings)-394(of)-395(P)84(ARA)-395(04)-394(W)83(orkshop)-394(on)-395(State)-394(of)-395(the)-394(Art)-394(in)-395(Scien)28(ti\014c)-394(Com)-1(p)1(uting,)]TJ 0 -11.955 Td [(pp.)-333(546{553,)-334(Lecture)-333(Notes)-333(in)-334(Computer)-333(Science,)-333(Springer,)-334(2005.)]TJ -0 g 0 G - -15.497 -18.666 Td [([3])]TJ -0 g 0 G - [-500(A.)-316(Buttari,)-320(D.)-317(di)-316(Sera\014no,)-320(P)83(.)-316(D'Am)28(bra,)-320(S.)-317(Filipp)-27(one,)-100(2LEV-D2P4:)-436(a)-316(pac)28(k-)]TJ 15.497 -11.955 Td [(age)-388(of)-388(high-p)-28(erformance)-388(preconditioners,)-218(Applicable)-388(Alge)-1(b)1(ra)-389(in)-388(Engin)1(e)-1(er-)]TJ 0 -11.956 Td [(ing,)-393(Comm)27(un)1(ications)-382(and)-381(Computing,)-393(V)83(olume)-381(18,)-393(Num)27(b)-27(er)-382(3,)-393(Ma)28(y)83(,)-393(2007,)]TJ 0 -11.955 Td [(pp.)-333(223-239)]TJ -0 g 0 G - -15.497 -18.666 Td [([4])]TJ -0 g 0 G - [-500(P)83(.)-691(D'Am)28(bra,)-780(S.)-691(Filipp)-28(one,)-780(D.)-691(Di)-691(Sera\014no)-819(On)-691(the)-691(Dev)28(elopmen)28(t)-691(of)]TJ 15.497 -11.955 Td [(PSBLAS-based)-430(P)28(arallel)-430(Tw)28(o-lev)28(el)-430(Sc)27(h)28(w)28(arz)-430(Preconditioners)-731(Applied)-430(Nu-)]TJ 0 -11.955 Td [(merical)-245(Mathematics)-1(,)-262(Elsevier)-246(Science,)-263(V)83(ol)1(ume)-246(57,)-263(Issues)-245(11-12,)-263(No)27(v)28(em)28(b)-28(er-)]TJ 0 -11.955 Td [(Decem)28(b)-28(er)-333(2007)-1(,)-333(P)28(ages)-333(1181-1196.)]TJ -0 g 0 G - -15.497 -18.667 Td [([5])]TJ -0 g 0 G - [-500(Dongarra,)-529(J.)-490(J.,)-529(DuCroz,)-529(J.,)-529(Hammarling,)-529(S.)-490(and)-490(Hanson,)-529(R.,)-529(An)-490(Ex-)]TJ 15.497 -11.955 Td [(tended)-478(Set)-478(of)-478(F)83(ortran)-478(Basic)-478(Linear)-478(Algebra)-478(Subprograms,)-514(A)28(C)-1(M)-477(T)83(rans.)]TJ 0 -11.955 Td [(Math.)-333(Soft)28(w.)-334(v)28(ol.)-333(14,)-334(1{17,)-333(1988.)]TJ -0 g 0 G - -15.497 -18.666 Td [([6])]TJ +/F27 9.9626 Tf 176.057 502.434 Td [(a)]TJ 0 g 0 G - [-500(Dongarra,)-444(J.,)-444(DuCroz,)-444(J.,)-445(Hammarling,)-444(S.)-422(and)-422(Du\013,)-444(I.,)-444(A)-422(Set)-422(of)-422(lev)28(el)-422(3)]TJ 15.497 -11.955 Td [(Basic)-357(Linear)-357(Algebra)-357(Subpr)1(ogram)-1(s,)-362(A)27(CM)-356(T)83(rans.)-357(Math.)-357(Soft)28(w.)-357(v)28(ol.)-357(16,)-362(1{)]TJ 0 -11.955 Td [(17,)-333(1990.)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(data)-334(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 201.08 0 Td [(psb)]TJ +ET +q +1 0 0 1 393.01 466.768 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 396.148 466.569 Td [(desc)]TJ +ET +q +1 0 0 1 417.697 466.768 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 420.835 466.569 Td [(type)]TJ 0 g 0 G - -15.497 -18.666 Td [([7])]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - [-500(J.)-265(J.)-266(Dongarra)-266(and)-265(R.)-266(C.)-265(Whaley)83(,)]TJ/F17 9.9626 Tf 162.063 0 Td [(A)-295(User's)-296(Guide)-295(to)-296(the)-295(BLA)25(CS)-295(v.)-295(1.1)]TJ/F8 9.9626 Tf 156.589 0 Td [(,)-279(La-)]TJ -303.155 -11.956 Td [(pac)28(k)-291(W)84(orking)-291(Note)-290(94,)-299(T)83(ec)28(h.)-290(Rep.)-291(UT-CS-95-281,)-299(Univ)28(ersit)28(y)-290(of)-291(T)84(ennesse)-1(e,)]TJ 0 -11.955 Td [(Marc)28(h)-334(1995)-333(\050up)-28(dated)-333(Ma)28(y)-333(1997\051.)]TJ +/F27 9.9626 Tf -291.052 -19.925 Td [(trans)]TJ 0 g 0 G - -15.497 -18.666 Td [([8])]TJ +/F8 9.9626 Tf 30.609 0 Td [(Scop)-28(e:)]TJ -5.702 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(c)28(haracter.)]TJ 0 g 0 G - [-500(I.)-488(Du\013,)-527(M.)-488(Marrone,)-526(G.)-488(Radicati)-488(and)-488(C.)-488(Vittoli,)]TJ/F17 9.9626 Tf 244.569 0 Td [(L)51(evel)-500(3)-500(Basic)-500(Line)51(ar)]TJ -229.072 -11.955 Td [(A)26(lgebr)51(a)-463(Subpr)52(o)51(gr)51(ams)-463(f)1(or)-463(Sp)51(arse)-462(Matric)51(es:)-669(a)-462(User)-462(L)51(evel)-463(Interfac)52(e)]TJ/F8 9.9626 Tf 292.206 0 Td [(,)-475(A)27(CM)]TJ -292.206 -11.955 Td [(T)83(ransactions)-333(on)-333(Mathematical)-334(Soft)28(w)28(are,)-333(23\0503\051,)-334(pp.)-333(379{401,)-333(1997.)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(w)32(ork)]TJ 0 g 0 G - -15.497 -18.666 Td [([9])]TJ +/F8 9.9626 Tf 29.431 0 Td [(an)-333(optional)-334(w)28(ork)-333(space)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 135.963 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -140.487 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(double)-333(precision)-333(arra)27(y)84(.)]TJ 0 g 0 G - [-500(I.)-358(Du\013,)-365(M.)-359(Heroux)-358(and)-359(R.)-358(P)27(ozo,)]TJ/F17 9.9626 Tf 162.007 0 Td [(A)26(n)-381(Overview)-381(of)-381(the)-381(Sp)51(arse)-381(Basic)-381(Line)51(ar)]TJ -146.51 -11.956 Td [(A)26(lgebr)51(a)-348(S)-1(u)1(bpr)51(o)51(gr)51(ams:)-455(the)-348(New)-349(Standar)51(d)-348(fr)51(om)-348(the)-348(BLAS)-348(T)76(e)51(chnic)52(al)-349(F)77(orum)]TJ/F8 9.9626 Tf 320.465 0 Td [(,)]TJ -320.465 -11.955 Td [(A)28(CM)-334(T)84(ransactions)-334(on)-333(Mathematical)-333(Soft)28(w)27(are,)-333(28\0502\051,)-333(pp.)-333(23)-1(9{267,)-333(2002.)]TJ +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - -20.479 -18.666 Td [([10])]TJ 0 g 0 G - [-500(S.)-451(Filipp)-28(one)-451(and)-451(M.)-451(Cola)-56(janni,)]TJ/F17 9.9626 Tf 165.708 0 Td [(PSBLAS:)-466(A)-466(Libr)51(ary)-466(for)-467(Par)51(al)-51(lel)-466(Line)51(ar)]TJ -145.229 -11.955 Td 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[(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +ET +q +1 0 0 1 338.658 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 341.796 578.15 Td [(prec)]TJ +ET +q +1 0 0 1 363.345 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 366.483 578.15 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -287.51 -19.925 Td [(On)-383(Exit)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.88 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +ET +q +1 0 0 1 338.658 502.634 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 341.796 502.434 Td [(prec)]TJ +ET +q +1 0 0 1 363.345 502.634 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 366.483 502.434 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -287.51 -19.925 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.234 0 Td [(Releases)-334(all)-333(in)28(ternal)-333(storage.)]TJ +0 g 0 G + 127.15 -334.288 Td [(147)]TJ +0 g 0 G +ET + +endstream +endobj +1897 0 obj << -/D [1863 0 R /XYZ 150.705 544.789 null] +/Length 608 >> -% 755 0 obj +stream +0 g 0 G +0 g 0 G +BT +/F16 14.3462 Tf 150.705 706.129 Td [(11)-1125(Iterativ)31(e)-375(Metho)-31(ds)]TJ/F8 9.9626 Tf 0 -21.821 Td [(In)-519(thi)1(s)-519(c)28(hapter)-519(w)28(e)-519(pro)28(vide)-519(routi)1(nes)-519(for)-519(preconditioners)-518(and)-519(iterativ)28(e)-519(meth-)]TJ 0 -11.955 Td [(o)-28(ds.)-647(The)-401(in)28(terfaces)-401(for)-401(Kr)1(ylo)27(v)-401(sub)1(s)-1(p)1(ac)-1(e)-400(metho)-28(ds)-401(are)-401(a)28(v)55(ailable)-400(in)-401(the)-401(mo)-28(dule)]TJ/F30 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F8 9.9626 Tf 73.225 0 Td [(.)]TJ +0 g 0 G + 91.158 -569.96 Td [(148)]TJ +0 g 0 G +ET + +endstream +endobj +1904 0 obj << -/D [1863 0 R /XYZ 150.705 512.909 null] +/Length 8324 >> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(11.1)-1125(psb)]TJ +ET +q +1 0 0 1 158.311 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 162.346 706.129 Td [(krylo)31(v)-375(|)-375(Krylo)31(v)-375(Metho)-31(ds)-375(Driv)31(er)-375(Routine)]TJ/F8 9.9626 Tf -62.451 -18.389 Td [(This)-343(subroutine)-342(is)-343(a)-343(driv)28(er)-343(that)-342(pro)27(vid)1(e)-1(s)-342(a)-343(general)-343(in)28(terface)-343(for)-342(all)-343(the)-343(Krylo)28(v-)]TJ 0 -11.956 Td [(Subspace)-333(family)-334(metho)-27(ds)-334(implemen)28(ted)-333(in)-334(PSBLAS)-333(v)28(ersion)-333(2.)]TJ 14.944 -11.955 Td [(The)-333(stopping)-334(criterion)-333(can)-333(tak)28(e)-334(the)-333(follo)28(wing)-334(v)56(alues:)]TJ +0 g 0 G +/F27 9.9626 Tf -14.944 -19.102 Td [(1)]TJ +0 g 0 G +/F8 9.9626 Tf 10.71 0 Td [(norm)28(wise)-334(bac)28(kw)28(ard)-333(error)-334(in)-333(the)-333(in\014nit)28(y)-334(norm;)-333(the)-333(iteration)-334(i)1(s)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 109.583 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 38.11 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +ET +q +1 0 0 1 248.849 621.14 cm +[]0 d 0 J 0.398 w 0 0 m 70.572 0 l S +Q +BT +/F8 9.9626 Tf 248.849 611.815 Td [(\050)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(kk)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf 7.195 0 Td [(+)]TJ/F14 9.9626 Tf 9.963 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F8 9.9626 Tf 4.981 0 Td [(\051)]TJ/F11 9.9626 Tf 7.837 6.834 Td [(<)-278(eps)]TJ +0 g 0 G +/F27 9.9626 Tf -223.488 -29.952 Td [(2)]TJ +0 g 0 G +/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(in)-333(the)-333(2-)-1(n)1(orm)-1(;)-333(the)-333(iteration)-333(is)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 135.515 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 12.178 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +ET +q +1 0 0 1 274.781 565.11 cm +[]0 d 0 J 0.398 w 0 0 m 18.708 0 l S +Q +BT +/F14 9.9626 Tf 274.781 555.785 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ +0 g 0 G +/F27 9.9626 Tf -197.556 -29.952 Td [(3)]TJ +0 g 0 G +/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(reduction)-333(in)-333(the)-334(2-norm;)-333(the)-333(iteration)-334(is)-333(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 133.171 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 14.522 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +ET +q +1 0 0 1 272.436 509.08 cm +[]0 d 0 J 0.398 w 0 0 m 23.396 0 l S +Q +BT +/F14 9.9626 Tf 272.436 499.755 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F7 6.9738 Tf 4.494 -1.494 Td [(0)]TJ/F14 9.9626 Tf 4.47 1.494 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -199.9 -30.505 Td [(The)-443(b)-27(eha)28(viour)-443(is)-442(con)27(troll)1(e)-1(d)-442(b)28(y)-443(the)-442(istop)-442(argumen)27(t)-442(\050see)-443(later\051.)-771(In)-443(the)-442(ab)-28(o)28(v)27(e)]TJ 0 -11.955 Td [(form)28(ulae,)]TJ/F11 9.9626 Tf 43.127 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(is)-255(the)-255(ten)28(tativ)28(e)-255(solution)-255(and)]TJ/F11 9.9626 Tf 122.117 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.084 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 4.925 0 Td [(\000)]TJ/F11 9.9626 Tf 8.399 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.166 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(the)-255(corresp)-28(ondin)1(g)-255(residual)]TJ -230.235 -11.956 Td [(at)-333(the)]TJ/F11 9.9626 Tf 29.335 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(-th)-333(iteration.)]TJ/F27 9.9626 Tf -31.39 -17.52 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.763 0 Td [(p)-126(s)-125(b)]TJ +ET +q +1 0 0 1 150.386 434.852 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 154.627 434.653 Td [(k)-126(r)-125(y)-126(l)-125(o)-126(v)-231(\050)-146(m)-40(e)-41(t)-40(h)-40(o)-40(d)-242(,)-194(a)-228(,)-255(p)-94(r)-94(e)-94(c)-349(,)-176(b)-191(,)-185(x)-209(,)-243(e)-81(p)-81(s)-323(,)-274(d)-113(e)-112(s)-113(c)]TJ +ET +q +1 0 0 1 351.575 434.852 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 355.686 434.653 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -226.788 -11.956 Td [(&)-579(i)-67(t)-67(m)-68(a)-67(x)-296(,)-311(i)-150(t)-149(e)-150(r)-460(,)]TJ/F27 9.9626 Tf 79.244 0 Td [(e)-65(r)-65(r)]TJ/F8 9.9626 Tf 18.889 0 Td [(,)-305(i)-144(t)-144(r)-144(a)-145(c)-144(e)-449(,)-319(i)-158(r)-158(s)-158(t)-477(,)-287(i)-126(s)-126(t)-126(o)-127(p)-413(,)-230(c)-69(o)-69(n)-69(d)-174(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -127.136 -26.454 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.513 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.514 Td [(metho)-32(d)]TJ +0 g 0 G +/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-236(th)1(e)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.105 -11.955 Td [(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.513 Td [(CG:)]TJ +0 g 0 G +/F8 9.9626 Tf 25.446 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -25.446 -15.529 Td [(CGS:)]TJ +0 g 0 G +/F8 9.9626 Tf 31.811 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -31.811 -15.528 Td [(GCR:)]TJ +0 g 0 G +/F8 9.9626 Tf 34.039 0 Td [(the)-333(Generalized)-334(Conjugate)-333(Residual)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -34.039 -15.529 Td [(F)32(CG:)]TJ +0 g 0 G +/F8 9.9626 Tf 32.337 0 Td [(the)-333(Flexible)-334(Conjugate)-333(Gradien)28(t)-333(metho)-28(d)]TJ +0 0 1 rg 0 0 1 RG +/F7 6.9738 Tf 177.626 3.616 Td [(5)]TJ +0 g 0 G +/F8 9.9626 Tf 4.469 -3.616 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -214.432 -15.528 Td [(BICG:)]TJ +0 g 0 G +/F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -37.941 -15.529 Td [(BICGST)96(AB:)]TJ +0 g 0 G +/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -68.133 -15.528 Td [(BICGST)96(ABL:)]TJ +0 g 0 G +/F8 9.9626 Tf 75.024 0 Td [(the)-222(Bi-Conjugate)-222(Gradien)27(t)-222(Stabilized)-222(metho)-28(d)-222(with)-222(restart-)]TJ -53.106 -11.955 Td [(ing;)]TJ +0 g 0 G +/F27 9.9626 Tf -21.918 -15.529 Td [(R)32(GMRES:)]TJ +0 g 0 G +/F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ +0 g 0 G +/F27 9.9626 Tf -83.714 -19.513 Td [(a)]TJ 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518.262 Td [(T)]TJ +ET +q +1 0 0 1 424.422 518.461 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 427.56 518.262 Td [(vect)]TJ +ET +q +1 0 0 1 449.109 518.461 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 452.247 518.262 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -322.464 -22.203 Td [(eps)]TJ +0 g 0 G +/F8 9.9626 Tf 21.116 0 Td [(The)-333(stopping)-334(tolerance.)]TJ 3.79 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -22.203 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 426.236 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 426.036 Td 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Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMR7. +%Copyright: (), with Reserved Font Name CMMI5. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments -FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup -/UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/CMMI5 known{/CMMI5 findfont dup/UniqueID known{dup +/UniqueID get 5087380 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /GIODUE+CMR7 def -/FontBBox {-27 -250 1122 750 }readonly def +/FontName /RVPZIX+CMMI5 def +/FontBBox {37 -250 1349 750 }readonly def /PaintType 0 def -/FontInfo 9 dict dup begin +/FontInfo 10 dict dup begin /version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR7.) readonly def -/FullName (CMR7) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMMI5.) readonly def +/FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle 0 def +/ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def +/ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 58 /colon put -dup 53 /five put -dup 52 /four put -dup 49 /one put -dup 51 /three put -dup 50 /two put -dup 48 /zero put +dup 105 /i put readonly def currentdict end currentfile eexec -oc;jAw-=%W)-{ru)rAE(@{빴Q|_R -ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ -}3{Z2zݬT2s$Z&{BJ{ޣ\u3]G~ 7G!/ Q FM~f/m*i("!i -K5> ţ d,J^,]^ -z* +khjOwq k&,_?Ɉc"n?W)Ջ kÖ投`Z/S *?c|Wgoʮbi8hesQiɺ4)FvP Vؐpik`j`EU)oW jBNfPTa_$ uDd3QBZSfyu4 螨x঺N<1Xk7I>%} -'T)~$I%qPI#-MVxkx@޼ۜZJ6h=hAڰ:#obv0e\¡0cPBz{f=d1G'{1@dD~yXrDOZE.ϐ=(%^/2V)(mfR20`މTLm/QL zKMmͥ +^vA -oEGxvXIxAW>xCª5!w^ ĥv(4,-eӻ?/R?Dqeq-xE $ܘ*3oᮘY+0{+N.>ψ'=IJ -f]̇C"spn21 {3=Ej4ZN2 -K~*w?#9; -A)Py 7}^muF2x~m64&G?r\|6L)ew¦ØB+rBc۞3v -!:0{uL -âAj}{q3W^B'(Yhn0WRS?u Zin=ٽڠǘ){s=m\ul^GhN@(s x6bM'*'6?nA{,1{E.RxmN4k(wl30M\Er -pty o> -{a_S -[D.tIEӽ ]fVՓj7Va_a"-{#- -:bO[)HAXE뻔Ug2zOqq" rI~$>s0Y@Ȩ5{I>y炲oCA2=B?"R -g_,~q.E| noϗT6;i?Xb4}teL1~&LdZ}2W.4.^%*D|Z?7W1 * DD?P_toKL'c ߇mS>-#| ;[R1ڢ` -@@onh.VF+w3ݟ)RX#9sz4X"#bwL{cFNj'ƌQԑt2Tn~. |_ߐk(Fm -n8*Y3".g~3SBج!͗s8 +݆ iD7D#oEMP00pn̋E\ٮ+7_ QzRĉ iDoB=|n$2bVÛWRu^]72# -x7SE5OU:?oq W\qPt<hR,v7EbZ5=>Û֜#hSRA>2O?l"q(DOuk4_}Ǟ# `N0N_CB<=gKO1/a!!ԓ(`J˭9.R˨y1jlnL`f~ͪuJjwD19K^W7L(ҿkH8rC/_! 1gg` bu VdoT_E$ LZCbΏ)#ue*<m}}<Z1]7n=6c~#`oM`IGCcIR(f 1?>+YKCZ%s)pxHODRhL⩩? 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Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMR8. +%Copyright: (), with Reserved Font Name CMMI7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments -FontDirectory/CMR8 known{/CMR8 findfont dup/UniqueID known{dup -/UniqueID get 5000791 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/CMMI7 known{/CMMI7 findfont dup/UniqueID known{dup +/UniqueID get 5087382 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /HFTEUS+CMR8 def -/FontBBox {-36 -250 1070 750 }readonly def +/FontName /ZUYGVH+CMMI7 def +/FontBBox {-1 -250 1171 750 }readonly def /PaintType 0 def -/FontInfo 9 dict dup begin +/FontInfo 10 dict dup begin /version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR8.) readonly def -/FullName (CMR8) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMMI7.) readonly def +/FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle 0 def +/ItalicAngle -14.04 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def +/ascent 750 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 66 /B put -dup 71 /G put +dup 72 /H put dup 73 /I put -dup 76 /L put -dup 78 /N put -dup 79 /O put -dup 80 /P put dup 84 /T put -dup 88 /X put dup 97 /a put -dup 98 /b put -dup 99 /c put -dup 58 /colon put -dup 44 /comma put -dup 100 /d put -dup 101 /e put -dup 56 /eight put -dup 102 /f put -dup 53 /five put -dup 52 /four put -dup 103 /g put -dup 104 /h put -dup 45 /hyphen put +dup 59 /comma put dup 105 /i put +dup 106 /j put dup 107 /k put -dup 108 /l put dup 109 /m put dup 110 /n put -dup 57 /nine put -dup 111 /o put -dup 49 /one put -dup 112 /p put -dup 40 /parenleft put -dup 41 /parenright put -dup 46 /period put -dup 113 /q put -dup 114 /r put -dup 115 /s put -dup 55 /seven put -dup 54 /six put -dup 47 /slash put -dup 116 /t put -dup 51 /three put -dup 50 /two put -dup 117 /u put -dup 118 /v put -dup 119 /w put -dup 120 /x put -dup 121 /y put -dup 48 /zero put readonly def currentdict end currentfile eexec -oc;jAw-=%W)-{ru)rAE(@{빴Q|_R -ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ -}3{Z2zݬT2s$Z&{BJ{r̗m1l(zNRr^&%:(/IߺHm!4JxI7bs,OiOl7_gѳs6;P}tx,IvJ3Yʫ] -=~Hrl;H :(xP/PL͍SI'sb~|PpNcOAͧBV")Th^Cx(Ry,s)+Hߋ;m*?>H"%N;8'bGZÕbd ^i$iaesF)l:}3X - Mv%GN,Ҧ/~`Љ"JO238ڐi -]IGcf7Ԁ2ڣ}T  @ &x߳8h -{ga5Lw'~=OLcgPv9F˛z%e|O/bV K ^Ć8ԇ<)M<m;疑}Od1]ZSmPf4Ժ)}MPg2вl1gFޢp V}{<[5iJOY>5XZ$157~Zڕ-UDm?3δ쩄'V+RGpyDHvx{pcL1w¾ FMNg(S ?)?;@ṂBN߬GXDio n PSSXD[kg[tU^?f27#xUým`jck$u:RمiEUա<.^Y&ۆo9s> û -8jzIC%oOn8Rg#;D2(J+|Gk9ڲփey/9+,-b3w9W7} z᣹өUyTpt_24a6s!O #i׌$޳\Apr$w5\plYn1upd[lk!lRv4_x_$V[HZKr\wu%_F ^ =ԝȆCf%-۷R>Qt@2 )~zx6mXFVCEOxJ -jFmh)XɽЇ8{u c*;e?blV|@-jAf9Vb 8Tdj4!VerZvZ,eV҆?0 -ZWGvl~و[5rL}qTvmjCbM:gÇ VOiڪ#|ym-4-, fFxWpsX!6q-M'ŏ"1,sxɵISĜV"^j73EvV(T^K-k?Ӓ.;d{)pBh+4uU *:m;<%s!- -8X+p&4jO^1TpvD^ x$+flx7=1S6>rMz 40] XC 2ƺ_s5uD^'? 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Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMR9. +%Copyright: (), with Reserved Font Name CMR10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments -FontDirectory/CMR9 known{/CMR9 findfont dup/UniqueID known{dup -/UniqueID get 5000792 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup +/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /KKURMF+CMR9 def -/FontBBox {-39 -250 1036 750 }readonly def +/FontName /WUKOCR+CMR10 def +/FontBBox {-40 -250 1009 750 }readonly def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR9.) readonly def -/FullName (CMR9) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR10.) readonly def +/FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def @@ -25562,27 +25802,57 @@ FontDirectory/CMR9 known{/CMR9 findfont dup/UniqueID known{dup end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 65 /A put dup 66 /B put +dup 67 /C put +dup 68 /D put +dup 69 /E put +dup 70 /F put dup 71 /G put +dup 72 /H put dup 73 /I put +dup 74 /J put +dup 75 /K put dup 76 /L put +dup 77 /M put +dup 78 /N put dup 79 /O put dup 80 /P put +dup 82 /R put +dup 83 /S put +dup 84 /T put +dup 85 /U put +dup 86 /V put +dup 87 /W put dup 88 /X put dup 97 /a put +dup 38 /ampersand put dup 98 /b put +dup 91 /bracketleft put +dup 93 /bracketright put dup 99 /c put +dup 58 /colon put dup 44 /comma put dup 100 /d put dup 101 /e put dup 56 /eight put +dup 124 /emdash put +dup 123 /endash put dup 61 /equal put dup 102 /f put +dup 11 /ff put +dup 14 /ffi put +dup 12 /fi put dup 53 /five put +dup 13 /fl put dup 52 /four put dup 103 /g put dup 104 /h put +dup 45 /hyphen put dup 105 /i put +dup 106 /j put +dup 107 /k put +dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put @@ -25592,16 +25862,25 @@ dup 112 /p put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put +dup 43 /plus put +dup 113 /q put +dup 92 /quotedblleft put +dup 34 /quotedblright put dup 39 /quoteright put dup 114 /r put dup 115 /s put +dup 59 /semicolon put dup 55 /seven put dup 54 /six put +dup 47 /slash put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put +dup 118 /v put +dup 119 /w put dup 120 /x put +dup 121 /y put dup 122 /z put dup 48 /zero put readonly def @@ -25609,309 +25888,355 @@ currentdict end currentfile eexec oc;jAw-=%W)-{ru)rAE(@{빴Q|_R ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ -}3{Z2zݬT2s$Z&{BJ{x< ,-.2iRnñvپ1䠕 '䓱_r"O_t3kefBݼVfj9ҳ 7! wX: 3Jwͤ푘IKjfWI.kvCW_5gWZWO~]!K"x؉ruJԥ?F6Jq>B^f'<2bSz>/kaɾP"jt}[#[p__ @Y!ɹsu~/8MeC2+{x$*|܆k)D 3CҊUDw/Õъ7uS2v΁ ~ytKd"f!Zυ?.ǥTmBlHEU[ZF`Qy)`gdeFIrU-J~xg4KX { 7$O@M?\(L⩎z%KNJ`ī}W6ĠAP6N錛"7`ܓuN -SX@*i,xIۜ*O/" -t1;$l% p#B+}ڀ'ƱRS^P˵aF(~#ۿB(I&@}-:{yA$m:'}ӧj^\ĺ>segz!,ܵ/u-9u}eIypӶs$dNQ/9<` _`m;4uacxr!LB Cu"KDPoѼczضgӅj=>1Im9!`Z&USYQoeȲ ׿ 0G> ?:. 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A]buvqݓ[3<4MBTparN[0O4\ۤ识BoƸF >'dnxN#ik_Aޛճs#;w͑2ԳLҘEDs =ֱU#T{\! ^CǺnaA2EȎ +,t.U佴r&Bըϲܔ'LU +?d1t> +}tjH# iaڇ^![!BQhT1%r<ԶcNP+P x@k}cdp"/n}ؗIjX=謀dA'T&`妺M]'|g4b -J4YЄ ]1cY#@zG6K1&C'ī7Ptu.)OD->`xAv&lNO5%ew@?r,糉#*gzl>1-ĖVKmz)cQu%jf3>γ?{\ f> +Wڮ;5]Eԝ4*,?B 9 + CaI$8]F 6'dXLkRRzÖ\Xp_lv ġ?n?T#Gɪu\%(N!aD)ch1Ez``˕/&$S }S]g({jBnkm*u5'k +8ͫQx&,$>;v Y<qVpٯM_F|y4ƨ≦cQC%`ܨPD{ϼ!۱)ÙrVv^A^ohlQı\C<[c6<^&g_s4o ]_|CK +,-ܸ,Zk +!> stream -%!PS-AdobeFont-1.0: CMSY7 003.002 -%%Title: CMSY7 +%!PS-AdobeFont-1.0: CMR7 003.002 +%%Title: CMR7 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMSY7. +%Copyright: (), with Reserved Font Name CMR7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments -FontDirectory/CMSY7 known{/CMSY7 findfont dup/UniqueID known{dup -/UniqueID get 5096648 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup +/UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /XNLILI+CMSY7 def -/FontBBox {-15 -951 1251 782 }readonly def +/FontName /GIODUE+CMR7 def +/FontBBox {-27 -250 1122 750 }readonly def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMSY7.) readonly def -/FullName (CMSY7) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR7.) readonly def +/FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def +/ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 49 /infinity put -dup 0 /minus put +dup 58 /colon put +dup 53 /five put +dup 52 /four put +dup 49 /one put +dup 51 /three put +dup 50 /two put +dup 48 /zero put readonly def currentdict end currentfile eexec -oc;jAw-ᾉYň5t&נ{hLGqB`d˗Pة|*x\ޖHtEB-gedog7Q`[['W73sZ9 m !tAY!$tY\r[uTIUiBy[Ȝŗ3Kï6zJ!˒Js&B5C"m&m1$0m jAirOJϴ2&7.BbR{媀E S.9/wG<#/[ә4ػjzzq,I˂ڣzx b-NHa?C*֨i֕,'u?(y/$p셝srψSCo&ͰBZƎJV)Hɳqa?; j!8·'(zr>0t~@B7>tXv=ֻt*ch,߭y%bwbc2 -At5qm#O:JjݒcZ$4HPv-V[(a75feLԍ۱2_xgc^L|_ 7Bc콁1'mԂ W -o bKPfAOܑ`Ax2zl 6܄x}NܱǞ̖cv[^."cvc$#;a$3|4x߽ -(a@cRn6phؚZfzz?K $YJo/q.1f JBw'4?}D/& Z=Vͪ7E ɍ}ʜDtǪĿ!X96E'<m&)JSw4!3δͺϳVJq,UZÄ[JսQK *L8ⅳӣ@0g|ȰF`Tk2қ׍Ƈ#xb`Y@ ɞno{avXik$i='CPEs&>#MX6E!H5&Bc+.s1(R9 PZSIA H){y,䲚9Ө蠂ӎTs9hoqVa#ai$% -eq#*!24S"xSMGd+׼d.0rMVBhQzо;7XbGǀe4oxu$]'eU5 vi Un2\=6XF%d蛳F!@}}qEybaW!izsKB/)PȀ(eKϯXt-}V$3LygX4rG[~W 3d<Dit\_~/̦2a(V2ڼN5>DLduN7:~%Ǐ|4=R/X)$I՗- oZk~%E :A@%!&ѯ3f8ldMR-,0Fn'YGwu_*bXw=AYq>\;B *Ps: ykX`ƗX){qbudog6Ņ)Y>6!X ]|Vmby1\2=謫p@Bo=EpV5%CWTn*q 24L&}5V $10G^ZԖ,䴧yuUCFDcl|Nz Lj-w>O`"'ň"p= yz!ӡ >okkTeA\-UuC6blap !]/ikqU2ϡqGG5fW I2S56 kD6آ=rE1?t0_L4*+QAQ02|ۖ]IX۫Ջ ޜ* _R߉Y%N56_쾦fr[pSH1+ VsĤQ/yepԈ+ Zܐ50Z7sk{15ֈڒ _pƴz hN  kCJ LgNOM\2 g+<}?j|;Oz^h3ػ$68F~g?_8{uhx%4|BAij%Q8[7 gT{5p~ktGwԈ2O3 fXMEO ތPHb;'5 5AM#SShᘣ vq-DnZ;ڶϪMX_IѲOp5a B%9]Z!; vK4Pmb%ۦ{) sqH;jv{{-k+HOWͦO:G2y>q(94(kB^oR[/~C2 %k M{p5@ew?O|;䁾džyF1 N/hXjlhwTM^^meHa@lU"!ZkÄ>-=IJ-RA*P@!u)v]e$z_;Wr<E :L=uD I0CƜzǿ70vR[`)+:|ntsy1~u -|SYi`zrF{jGE^WH7(g}MV-*dqα[^ ׈/yđ 'Ti:yLieIFxpQ,iMNcgWK<UĭOr--t -c%WR?7PQ4R M6z^(?NJiw/Sf -~'|෕N5"~ 2H*/ ~/b=/j1>~Dg(ˉ^`evs $t=Eҝ;e.\-G k!*5vٿNPZKk^wc/B!co -ךkC96M­д1z.`CMkfQ9b}L&>}x^baљ0VOH:^jJ 7kwVD= I˪|΄ׄB| eJ+7lZMڳ7A4TPpMΩURf+1啿*wΫywf#Ά) }Tn$LXPY80m]-i)eS2oYlu[|0j\<<[@ w)8Áo ڿ()H)g={ѵ]?E~T(X'`Tʗ" A@a8S$S-U% -i!PVyZsuR}(t?i_a| h{ڹJ-س`xVD&`p + ıjO-N5VFG㝽*Kģ\k. lXSc|r[]͘Q&!aXt[rKR_4R {!%3.} --B+ޙi~Ճh K*,/hPj{` DCw_h/p3eH/IA)ik#U ]`&o(k3>al=K -/3@A|G+TBR׃ 3OABl{sl"17 k_e-QNFQ -*i=F8*%=Mm[͡]7H/e/cEr\4tE>I28ݳT fL C#h -wBūdr|{T5Qo2?PmeЄ.-Ϭ]lƿ84c:üSR($t}< -H yY>f.RⅬj }+PjE.Xg8KG_0!ozW*4]xĪ 3m6 rj͘uv>lLWwPNqGލu2 p;ݐz Ih=IJ  -RX+%FR1z -D:g{Y}3>6 KQhl [Ć.^^c}.s^֜G>?WJXe і{*nxzv4y۫tQ/x`k4ٞvqK_<-k{怣;-fژ nοH̖c]rj N?HvlYng:W u"k%N6@ |^(̮Pr@̀ +oc;jAw-=%W)-{ru)rAE(@{빴Q|_R +ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ +}3{Z2zݬT2s$Z&{BJ{ޣ\u3]G~ 7G!/ Q FM~f/m*i("!i +K5> ţ d,J^,]^ +z* +khjOwq k&,_?Ɉc"n?W)Ջ kÖ投`Z/S *?c|Wgoʮbi8hesQiɺ4)FvP Vؐpik`j`EU)oW jBNfPTa_$ uDd3QBZSfyu4 螨x঺N<1Xk7I>%} +'T)~$I%qPI#-MVxkx@޼ۜZJ6h=hAڰ:#obv0e\¡0cPBz{f=d1G'{1@dD~yXrDOZE.ϐ=(%^/2V)(mfR20`މTLm/QL zKMmͥ +^vA +oEGxvXIxAW>xCª5!w^ ĥv(4,-eӻ?/R?Dqeq-xE $ܘ*3oᮘY+0{+N.>ψ'=IJ +f]̇C"spn21 {3=Ej4ZN2 +K~*w?#9; +A)Py 7}^muF2x~m64&G?r\|6L)ew¦ØB+rBc۞3v +!:0{uL +âAj}{q3W^B'(Yhn0WRS?u Zin=ٽڠǘ){s=m\ul^GhN@(s x6bM'*'6?nA{,1{E.RxmN4k(wl30M\Er +pty o> +{a_S +[D.tIEӽ ]fVՓj7Va_a"-{#- +:bO[)HAXE뻔Ug2zOqq" rI~$>s0Y@Ȩ5{I>y炲oCA2=B?"R +g_,~q.E| noϗT6;i?Xb4}teL1~&LdZ}2W.4.^%*D|Z?7W1 * DD?P_toKL'c ߇mS>-#| ;[R1ڢ` +@@onh.VF+w3ݟ)RX#9sz4X"#bwL{cFNj'ƌQԑt2Tn~. |_ߐk(Fm +n8*Y3".g~3SBج!͗s8 +݆ iD7D#oEMP00pn̋E\ٮ+7_ QzRĉ iDoB=|n$2bVÛWRu^]72# +x7SE5OU:?oq W\qPt<hR,v7EbZ5=>Û֜#hSRA>2O?l"q(DOuk4_}Ǟ# `N0N_CB<=gKO1/a!!ԓ(`J˭9.R˨y1jlnL`f~ͪuJjwD19K^W7L(ҿkH8rC/_! 1gg` bu VdoT_E$ LZCbΏ)#ue*<m}}<Z1]7n=6c~#`oM`IGCcIR(f 1?>+YKCZ%s)pxHODRhL⩩? +F,@۷l-%xWuLT7a5 +b=oюca +rPYqf3UeQ6ju! tYL,#Ev8?@<m?ĸӿY7^U0M`X,oz N]CSpbӿ\{2,1ߣT&JRCu& /D#eΓ|}J-ozOYTC]i/ K^QaCi{;ᤩ`; +@WCk2YHG$JԓO>K+ +F. %KWWZ ucQRT1 >r튌;FG֧':ũdXn|I]ͨxq/1siN$bppa5DC$6lg*4/*$Mmd$$0el7aa (w3\\XAȿ4`]|v21) d6.7FkC/1J5deGñqvTߞN|@\%eC_>$X8cB'f{ nQZNr Rn}R1Bz _Мך-Ekjmnk"5j/2~bE9#FmY۩~|NDpTT6Z%H ctjz3\ */09R[Ƣ3/c4֪K^ 3b%B@$Md$8(sPWcY:2N&q4$ +VYvHS Gr +?6>s{&@ Xz #xHH+D%vZ~WO?V33N FӁ9 +[" "rme{3L7gdzR`QK8\ڕf0h <8 y +9\PD^1L1̄\$CFblMQz.Iۯ8fv -%ڞOBTVHY+pJ}S +ɲmpJ3Yas ݟ*SQYLBP_[HWBQgf `~[x/yp +vi >zxup^ľ@#uw<4b,m*}p…N{fE@fNg.`d"ŵr sr45S-U_x`F#忐{uD[Kf4IIxzɯrfb[Bk9kl 8U/W:Z94'`3T+)0ê翄 +z_,{uC-4i 7,g_H9gQrHA8]E6AQsif*lI$LI`@?d/]JTgZY3.S^+ +}KM*עGt836@<1.bJX`y<˟Dt2XJQhi1kpQTS;9v_}$qﱡLT@-p˧а# ק՗؇hg@6vw1AmlGh?z68N`@UX״>Pnù.}UoLR Ww})[N[?6 ց$TeǵY ېb>ubi&[*B^=b0״Eq[ۅ㪂uZrٟ;cm;m`6h~nGXcsN=qv{Y+K־*cb>扶{$y\k4+U7 2|X;6yv+#zc)hC]z2*SIA]!=[X:e⬇nesŸS"3hnhP}߃h7K :Bܑxygށ(2V}ă4Tn֦y-vBRB8zZ-)>ӛҸxp"Qi&3Yt +͉EW6w-"; D!Idh:|E D2Sf"[윌WM@)x<[dj-3> +k} Ti䪻J +硳%<[{ i*y2^.ЀgͫbԋU:^IUCxmT?F,=[0 OR=w|8O<b%$c6aۆ|Ckv)װQL,1:lF9p`F/DV`ՎB,Xy4H//=g8%Z\,j6Y,bpT`K#{_2$aVUsc2fe1 ~PsϬ_' +U,yVzdCX(Y`w%oPrA ktn,D?L'X#UB Ρ +Ԫȝl-,xu+k;H;w\1mmDi|{5-=i"R#{P !%Uj=F2.c/Qb ᝼M ɓ.sФxN8tbvV02+؀7k?u˩xaz*iD DX{i}t3Fi +OΣ_ֺ/! endstream endobj -1918 0 obj +1983 0 obj << -/Length1 2199 -/Length2 18119 +/Length1 2131 +/Length2 14577 /Length3 0 -/Length 20318 +/Length 16708 >> stream -%!PS-AdobeFont-1.0: CMTI10 003.002 -%%Title: CMTI10 +%!PS-AdobeFont-1.0: CMR8 003.002 +%%Title: CMR8 %Version: 003.002 %%CreationDate: Mon Jul 13 16:17:00 2009 %%Creator: David M. Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMTI10. +%Copyright: (), with Reserved Font Name CMR8. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments -FontDirectory/CMTI10 known{/CMTI10 findfont dup/UniqueID known{dup -/UniqueID get 5000828 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/CMR8 known{/CMR8 findfont dup/UniqueID known{dup +/UniqueID get 5000791 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /HBJLDT+CMTI10 def -/FontBBox {-35 -250 1124 750 }readonly def +/FontName /HFTEUS+CMR8 def +/FontBBox {-36 -250 1070 750 }readonly def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTI10.) readonly def -/FullName (CMTI10) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR8.) readonly def +/FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def +/ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 65 /A put dup 66 /B put -dup 67 /C put -dup 68 /D put -dup 69 /E put -dup 70 /F put dup 71 /G put dup 73 /I put dup 76 /L put -dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put -dup 82 /R put -dup 83 /S put dup 84 /T put -dup 85 /U put -dup 86 /V put +dup 88 /X put dup 97 /a put dup 98 /b put dup 99 /c put dup 58 /colon put +dup 44 /comma put dup 100 /d put dup 101 /e put +dup 56 /eight put dup 102 /f put -dup 11 /ff put -dup 12 /fi put dup 53 /five put +dup 52 /four put dup 103 /g put dup 104 /h put dup 45 /hyphen put dup 105 /i put -dup 106 /j put +dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put @@ -25919,11 +26244,14 @@ dup 57 /nine put dup 111 /o put dup 49 /one put dup 112 /p put +dup 40 /parenleft put +dup 41 /parenright put dup 46 /period put dup 113 /q put -dup 39 /quoteright put dup 114 /r put dup 115 /s put +dup 55 /seven put +dup 54 /six put dup 47 /slash put dup 116 /t put dup 51 /three put @@ -25937,616 +26265,789 @@ dup 48 /zero put readonly def currentdict end currentfile eexec -oc;jAw-24 WEvQC<3A2kX0k^|:ٴfb,|=sLu2KZ`3ndgRw@),q՜G<&h'. ΍883 ABAԾI$s@F25ڪ,i pK>6K` %E((bsS?#;IHIRgHŗC" Axb'^;*DٕTz35'«G=F F섲.K|Lђ^Tsә,˛PS{1c ˋri,BRjl_݂tUH %!#V|6G9i/'//do1Wˋ_G -‰a vL"paS-g綇}t@{&Y`I -|ۢsifˇ]<zilWUf }ϡq^c,@{6~?JSijv$i"$O -VQ?236u`}u~㣖9ñ#M=f.bȫ G 䁡"K aI\N*Q*;G40Z($Xv*WsPn hXU;.a7X5{~MzH Tj?^ -LhIt}e&,APRNy< 9MCfQx"c<~Nh%0`ڇD+qn ;/XM wZdi3V"+$(5|.R`G[xM9s&7q%*=׶%zJ3FA%@kd/]gā2Ǧ<\%ߓnW(5uI&dI fWt]]32b驞VS~O &`hXsGA"%͗"h*4Λh`:gQgatN9"#D*$Ǫyy\ 9OE{y"QAw/Ѧi,֗665:?Sr#2 +]vV=] U8~ 4"5;;jJ+عo!窧)y.^<^gNlV:H (j$.C>drYz3D^"(ݪy?ssDt45KqcV}PI'REhܺn!p}ilqH'>2AOl2 # [˚so DtaK:}9/M]fXlf-F| Y A1Qƕ/28 S廩/^dVB [aJzH0uSo/Y`'g)5ʪ:\hYrG!y 9rhcagzoϘ$@]8 REPWhͽz]FIءz۳L|"CEw}BŽ03&pv4Q:uKw+nC~vto:a, y\Y8L sϯ~dp=n?D( =>mzN5  ,$2/"f6%)R%b8j6mqEQ-C sKD\=R3d>!YΎ9MQΕ/Vd+BW&IIpAh* ,W_UkW2G&tk+hV<$_TgLضucz9?^y(;2-~7]r&Q0[AM]fX?x]inU>%ʸ(T?. a1L.wiaH#C-`g=f) -TEGeIuEo?Fg 5s9!GYrÂ$֡ L8h:ji Dc8k.l|l| /ܚ;'(2P]< nӱ -l\C؀:ጜ'|-sy5eDeEͲ3ڗ05nv>*!d p+2~Ͽr);J;шJ2y].1'e'0\Mt:gF+mr3*ttXKuRL˨B4Pmhel[b9ʸNRr%0K.㼎b8TC{,Pu9 %" -ƛ1غ^KUIzfs'FiwG&2bDX4&"t]vU3qekZb2mHj1}q_P2|a8~kP4o_== vԑ8U5[_ )e=mʂ:1ԍb D9}F`ֿ0cnR܃IpyiS?z5qeSdqei QJV6ᤙ>ot5&2ZW$MQ:Pϼ\w/v@j=_L@wNҸ}FdX;ʊw%aMcà/bbK+2qޫffQ`" -nLo/'w ^*Waol2)&e+شg !g 'f?qwtלKZt&,<#)Y,zzп榯%1!ǠW"pu maRr1r@C( ^ tR^0Kt{տgB"ߧDf!=|Q -:( [~GsvjʓkP g/=_]Uz T,$V9jZߵ5߷tQq̮ٙGkc{ |RL ]vCAh$(5y9>8A88o1ȉSO Av??߻㹑Vks=lvbϣ8|\_%{Ҩ>&&zIWVSiUAV+Ӓ$D} Ge=fL| +)o^E`Iv7fK+sDz2s4+:>AnpT/ٸ&XɥݡT,@T;w zȼӧzekc=zaH``$4 -ϋHG^/'tWWu5*b9N&ԯ}ڷ#* -7=/|CX2W!wAk'TM<@SтkP8f>? 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For auxiliary communication routines not tied to a discretization space see~\ref{sec:toolsrout}. -\clearpage\subsection*{psb\_halo --- Halo Data Communication} -\addcontentsline{toc}{subsection}{psb\_halo} +\clearpage\subsection{psb\_halo --- Halo Data Communication} These subroutines gathers the values of the halo @@ -88,7 +87,7 @@ An integer value that contains an error code. \begin{figure}[h] \begin{center} \ifcase\pdfoutput -\includegraphics[scale=0.45]{figures/try8x8.eps} +\includegraphics[scale=0.45]{figures/try8x8.png} \or \includegraphics[scale=0.45]{figures/try8x8} \fi @@ -162,8 +161,7 @@ following: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_ovrl --- Overlap Update} -\addcontentsline{toc}{subsection}{psb\_ovrl} +\clearpage\subsection{psb\_ovrl --- Overlap Update} These subroutines applies an overlap operator to the input vector: @@ -267,7 +265,7 @@ their instances. \begin{figure}[h] \begin{center} \ifcase\pdfoutput -\includegraphics[scale=0.65]{figures/try8x8_ov.eps} +\includegraphics[scale=0.65]{figures/try8x8_ov.png} \or {\includegraphics[scale=0.65]{figures/try8x8_ov}} \fi @@ -354,8 +352,7 @@ following (showing a transition among the two subdomains) % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_gather --- Gather Global Dense Matrix} -\addcontentsline{toc}{subsection}{psb\_gather} +\clearpage\subsection{psb\_gather --- Gather Global Dense Matrix} These subroutines collect the portions of global dense matrix distributed over all process into one single array stored on one @@ -456,8 +453,7 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_scatter --- Scatter Global Dense Matrix} -\addcontentsline{toc}{subsection}{psb\_scatter} +\clearpage\subsection{psb\_scatter --- Scatter Global Dense Matrix} These subroutines scatters the portions of global dense matrix owned by a process to all the processes in the processes grid. diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index 866a405d..72ee814b 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -182,8 +182,7 @@ state, which can take the following values: \subsubsection{Descriptor Methods} -\subsubsection*{get\_local\_rows --- Get number of local rows} -\addcontentsline{toc}{paragraph}{get\_local\_rows} +\subsubsection{get\_local\_rows --- Get number of local rows} \begin{verbatim} nr = desc%get_local_rows() @@ -208,8 +207,7 @@ Scope: {\bf local}.\\ \end{description} -\subsubsection*{get\_local\_cols --- Get number of local cols} -\addcontentsline{toc}{paragraph}{get\_local\_cols} +\subsubsection{get\_local\_cols --- Get number of local cols} \begin{verbatim} nc = desc%get_local_cols() @@ -235,8 +233,7 @@ Scope: {\bf local}.\\ \end{description} -\subsubsection*{get\_global\_rows --- Get number of global rows} -\addcontentsline{toc}{paragraph}{get\_global\_rows} +\subsubsection{get\_global\_rows --- Get number of global rows} \begin{verbatim} nr = desc%get_global_rows() @@ -258,8 +255,7 @@ Scope: {\bf local}.\\ global index space. \end{description} -\subsubsection*{get\_global\_cols --- Get number of global cols} -\addcontentsline{toc}{paragraph}{get\_global\_cols} +\subsubsection{get\_global\_cols --- Get number of global cols} \begin{verbatim} nr = desc%get_global_cols() @@ -282,8 +278,7 @@ Scope: {\bf local}.\\ \end{description} -\subsubsection*{get\_global\_indices --- Get vector of global indices} -\addcontentsline{toc}{paragraph}{get\_global\_indices} +\subsubsection{get\_global\_indices --- Get vector of global indices} \begin{verbatim} myidx = desc%get_global_indices([owned]) @@ -311,8 +306,7 @@ Type: {\bf optional}; default: \verb|.true.|.\\ -\subsubsection*{get\_context --- Get communication context} -\addcontentsline{toc}{paragraph}{get\_context} +\subsubsection{get\_context --- Get communication context} \begin{verbatim} ictxt = desc%get_context() @@ -333,8 +327,7 @@ Scope: {\bf local}.\\ \item[Function value] The communication context. \end{description} -\subsubsection*{Clone --- clone current object} -\addcontentsline{toc}{paragraph}{Clone} +\subsubsection{Clone --- clone current object} \begin{verbatim} call desc%clone(descout,info) @@ -357,8 +350,7 @@ Scope: {\bf local}.\\ \end{description} -\subsubsection*{CNV --- convert internal storage format} -\addcontentsline{toc}{paragraph}{CNV} +\subsubsection{CNV --- convert internal storage format} \begin{verbatim} call desc%cnv(mold) @@ -381,9 +373,8 @@ accelerators. -\subsubsection*{psb\_cd\_get\_large\_threshold --- Get threshold for +\subsubsection{psb\_cd\_get\_large\_threshold --- Get threshold for index mapping switch} -\addcontentsline{toc}{paragraph}{psb\_cd\_get\_large\_threshold} \begin{verbatim} ith = psb_cd_get_large_threshold() @@ -398,9 +389,9 @@ ith = psb_cd_get_large_threshold() -\subsubsection*{psb\_cd\_set\_large\_threshold --- Set threshold for +\subsubsection{psb\_cd\_set\_large\_threshold --- Set threshold for index mapping switch} -\addcontentsline{toc}{paragraph}{psb\_cd\_set\_large\_threshold} +%\addcontentsline{toc}{paragraph}{psb\_cd\_set\_large\_threshold} \begin{verbatim} call psb_cd_set_large_threshold(ith) @@ -422,8 +413,8 @@ initialized. Moreover the threshold must have the same value on all processes. -\subsubsection*{get\_p\_adjcncy --- Get process adjacency list} -\addcontentsline{toc}{paragraph}{get\_p\_adjcncy} +\subsubsection{get\_p\_adjcncy --- Get process adjacency list} +%\addcontentsline{toc}{paragraph}{get\_p\_adjcncy} \begin{verbatim} list = desc%get_p_adjcncy() @@ -438,8 +429,8 @@ list = desc%get_p_adjcncy() \end{description} -\subsubsection*{set\_p\_adjcncy --- Set process adjacency list} -\addcontentsline{toc}{paragraph}{set\_p\_adjcncy} +\subsubsection{set\_p\_adjcncy --- Set process adjacency list} +%\addcontentsline{toc}{paragraph}{set\_p\_adjcncy} \begin{verbatim} call desc%set_p_adjcncy(list) @@ -461,8 +452,8 @@ current process. The availability of this information may speed up the execution of the assembly call \verb|psb_cdasb|. -\subsubsection*{fnd\_owner --- Find the owner process of a set of indices} -\addcontentsline{toc}{paragraph}{fnd\_owner} +\subsubsection{fnd\_owner --- Find the owner process of a set of indices} +%\addcontentsline{toc}{paragraph}{fnd\_owner} \begin{verbatim} call desc%fnd_owner(idx,iprc,info) @@ -591,8 +582,8 @@ variants are obtained by conversion to/from it. \subsubsection{Sparse Matrix Methods} -\subsubsection*{get\_nrows --- Get number of rows in a sparse matrix} -\addcontentsline{toc}{paragraph}{get\_nrows} +\subsubsection{get\_nrows --- Get number of rows in a sparse matrix} +%\addcontentsline{toc}{paragraph}{get\_nrows} \begin{verbatim} nr = a%get_nrows() @@ -614,9 +605,9 @@ Scope: {\bf local}\\ \end{description} -\subsubsection*{get\_ncols --- Get number of columns in a sparse +\subsubsection{get\_ncols --- Get number of columns in a sparse matrix} -\addcontentsline{toc}{paragraph}{get\_ncols} +%\addcontentsline{toc}{paragraph}{get\_ncols} \begin{verbatim} nc = a%get_ncols() @@ -638,9 +629,9 @@ Scope: {\bf local}\\ \end{description} -\subsubsection*{get\_nnzeros --- Get number of nonzero elements +\subsubsection{get\_nnzeros --- Get number of nonzero elements in a sparse matrix} -\addcontentsline{toc}{paragraph}{get\_nnzeros} +%\addcontentsline{toc}{paragraph}{get\_nnzeros} \begin{verbatim} nz = a%get_nnzeros() @@ -668,9 +659,9 @@ Scope: {\bf local}\\ value for the same matrix may be different for different storage choices. \end{enumerate} -\subsubsection*{get\_size --- Get maximum number of nonzero elements +\subsubsection{get\_size --- Get maximum number of nonzero elements in a sparse matrix} -\addcontentsline{toc}{paragraph}{get\_size } +%\addcontentsline{toc}{paragraph}{get\_size } \begin{verbatim} maxnz = a%get_size() @@ -692,9 +683,9 @@ Scope: {\bf local}\\ be stored in sparse matrix \verb|a| using its current memory allocation. \end{description} -\subsubsection*{sizeof --- Get memory occupation in bytes +\subsubsection{sizeof --- Get memory occupation in bytes of a sparse matrix} -\addcontentsline{toc}{paragraph}{sizeof } +%\addcontentsline{toc}{paragraph}{sizeof } \begin{verbatim} memory_size = a%sizeof() @@ -716,8 +707,8 @@ Scope: {\bf local}\\ \end{description} -\subsubsection*{get\_fmt --- Short description of the dynamic type} -\addcontentsline{toc}{paragraph}{get\_fmt } +\subsubsection{get\_fmt --- Short description of the dynamic type} +%\addcontentsline{toc}{paragraph}{get\_fmt } \begin{verbatim} write(*,*) a%get_fmt() @@ -740,8 +731,8 @@ Scope: {\bf local}\\ \verb|CSR| and \verb|CSC|. \end{description} -\subsubsection*{is\_bld, is\_upd, is\_asb --- Status check} -\addcontentsline{toc}{paragraph}{is\_bld, is\_upd, is\_asb } +\subsubsection{is\_bld, is\_upd, is\_asb --- Status check} +%\addcontentsline{toc}{paragraph}{is\_bld, is\_upd, is\_asb } \begin{verbatim} if (a%is_bld()) then @@ -765,9 +756,9 @@ Scope: {\bf local}\\ matrix is in the Build, Update or Assembled state, respectively. \end{description} -\subsubsection*{is\_lower, is\_upper, is\_triangle, is\_unit --- +\subsubsection{is\_lower, is\_upper, is\_triangle, is\_unit --- Format check} -\addcontentsline{toc}{paragraph}{is\_lower, is\_upper, is\_triangle, is\_unit} +%\addcontentsline{toc}{paragraph}{is\_lower, is\_upper, is\_triangle, is\_unit} \begin{verbatim} if (a%is_triangle()) then @@ -795,8 +786,8 @@ Scope: {\bf local}\\ \end{description} -\subsubsection*{cscnv --- Convert to a different storage format} -\addcontentsline{toc}{paragraph}{cscnv} +\subsubsection{cscnv --- Convert to a different storage format} +%\addcontentsline{toc}{paragraph}{cscnv} \begin{verbatim} call a%cscnv(b,info [, type, mold, dupl]) @@ -828,8 +819,8 @@ employed to interface with special devices, such as GPUs and other accelerators. -\subsubsection*{csclip --- Reduce to a submatrix} -\addcontentsline{toc}{paragraph}{csclip} +\subsubsection{csclip --- Reduce to a submatrix} +%\addcontentsline{toc}{paragraph}{csclip} \begin{verbatim} call a%csclip(b,info[,& & imin,imax,jmin,jmax,rscale,cscale]) @@ -856,8 +847,8 @@ A variable of type \verb|psb_Tspmat_type|. \item[info] Return code. \end{description} -\subsubsection*{clean\_zeros --- Eliminate zero coefficients} -\addcontentsline{toc}{paragraph}{clean\_zeros} +\subsubsection{clean\_zeros --- Eliminate zero coefficients} +%\addcontentsline{toc}{paragraph}{clean\_zeros} \begin{verbatim} call a%clean_zeros(info) \end{verbatim} @@ -880,8 +871,8 @@ A variable of type \verb|psb_Tspmat_type|. \item[info] Return code. \end{description} -\subsubsection*{get\_diag --- Get main diagonal} -\addcontentsline{toc}{paragraph}{get\_diag} +\subsubsection{get\_diag --- Get main diagonal} +%\addcontentsline{toc}{paragraph}{get\_diag} \begin{verbatim} call a%get_diag(d,info) \end{verbatim} @@ -902,8 +893,8 @@ A one-dimensional array of the appropriate type. \end{description} -\subsubsection*{clip\_diag --- Cut out main diagonal} -\addcontentsline{toc}{paragraph}{clip\_diag} +\subsubsection{clip\_diag --- Cut out main diagonal} +%\addcontentsline{toc}{paragraph}{clip\_diag} \begin{verbatim} call a%clip_diag(b,info) \end{verbatim} @@ -924,8 +915,8 @@ A variable of type \verb|psb_Tspmat_type|. \end{description} -\subsubsection*{tril --- Return the lower triangle} -\addcontentsline{toc}{paragraph}{tril} +\subsubsection{tril --- Return the lower triangle} +%\addcontentsline{toc}{paragraph}{tril} \begin{verbatim} call a%tril(l,info[,& & diag,imin,imax,jmin,jmax,rscale,cscale,u]) @@ -958,8 +949,8 @@ A variable of type \verb|psb_Tspmat_type|. \item[info] Return code. \end{description} -\subsubsection*{triu --- Return the upper triangle} -\addcontentsline{toc}{paragraph}{triu} +\subsubsection{triu --- Return the upper triangle} +%\addcontentsline{toc}{paragraph}{triu} \begin{verbatim} call a%triu(u,info[,& & diag,imin,imax,jmin,jmax,rscale,cscale,l]) @@ -995,8 +986,8 @@ A variable of type \verb|psb_Tspmat_type|. -\subsubsection*{psb\_set\_mat\_default --- Set default storage format} -\addcontentsline{toc}{paragraph}{psb\_set\_mat\_default} +\subsubsection{psb\_set\_mat\_default --- Set default storage format} +%\addcontentsline{toc}{paragraph}{psb\_set\_mat\_default} \begin{verbatim} @@ -1015,8 +1006,8 @@ Type: required. -\subsubsection*{clone --- Clone current object} -\addcontentsline{toc}{paragraph}{clone} +\subsubsection{clone --- Clone current object} +%\addcontentsline{toc}{paragraph}{clone} \begin{verbatim} call a%clone(b,info) @@ -1112,8 +1103,8 @@ private memory. \end{figure} \subsubsection{Vector Methods} -\subsubsection*{get\_nrows --- Get number of rows in a dense vector} -\addcontentsline{toc}{paragraph}{get\_nrows} +\subsubsection{get\_nrows --- Get number of rows in a dense vector} +%\addcontentsline{toc}{paragraph}{get\_nrows} \begin{verbatim} nr = v%get_nrows() @@ -1135,9 +1126,9 @@ Scope: {\bf local}\\ \end{description} -\subsubsection*{sizeof --- Get memory occupation in bytes +\subsubsection{sizeof --- Get memory occupation in bytes of a dense vector} -\addcontentsline{toc}{paragraph}{sizeof } +%\addcontentsline{toc}{paragraph}{sizeof } \begin{verbatim} memory_size = v%sizeof() @@ -1159,8 +1150,8 @@ Scope: {\bf local}\\ \end{description} -\subsubsection*{set --- Set contents of the vector} -\addcontentsline{toc}{paragraph}{set } +\subsubsection{set --- Set contents of the vector} +%\addcontentsline{toc}{paragraph}{set } \begin{verbatim} call v%set(alpha[,first,last]) @@ -1197,8 +1188,8 @@ constant having the appropriate type and kind. Scope: {\bf local}\\ \end{description} -\subsubsection*{get\_vect --- Get a copy of the vector contents} -\addcontentsline{toc}{paragraph}{get\_vect } +\subsubsection{get\_vect --- Get a copy of the vector contents} +%\addcontentsline{toc}{paragraph}{get\_vect } \begin{verbatim} extv = v%get_vect([n]) @@ -1227,8 +1218,8 @@ Type: {\bf optional}; default: entire vector.\\ array is the same as the internal size of the vector. \end{description} -\subsubsection*{clone --- Clone current object} -\addcontentsline{toc}{paragraph}{clone} +\subsubsection{clone --- Clone current object} +%\addcontentsline{toc}{paragraph}{clone} \begin{verbatim} call x%clone(y,info) \end{verbatim} diff --git a/docs/src/error.tex b/docs/src/error.tex index bbef2da4..f1fbc3c6 100644 --- a/docs/src/error.tex +++ b/docs/src/error.tex @@ -119,9 +119,10 @@ Aborting... \end{figure} -\clearpage\subroutine{psb\_errpush}{Pushes an error code onto the error +\clearpage\subsection{psb\_errpush}{Pushes an error code onto the error stack} + \begin{lstlisting} call psb_errpush(err_c, r_name, i_err, a_err) \end{lstlisting} @@ -149,7 +150,7 @@ Type: {\bf optional}\\ Specified as: a string.\\ \end{description} -\clearpage\subroutine{psb\_error}{Prints the error stack content and aborts +\clearpage\subsection{psb\_error}{Prints the error stack content and aborts execution} \begin{lstlisting} @@ -168,8 +169,9 @@ Specified as: an integer. -\clearpage\subroutine{psb\_set\_errverbosity}{Sets the verbosity of error - messages.} +\clearpage\subsection{psb\_set\_errverbosity}{Sets the verbosity of error + messages} + \begin{lstlisting} call psb_set_errverbosity(v) @@ -185,9 +187,8 @@ Intent: {\bf in}.\\ Specified as: an integer. \end{description} -\clearpage\subroutine{psb\_set\_erraction}{Set the type of action to be - taken upon error condition.} - +\clearpage\subsection{psb\_set\_erraction}{Set the type of action to be + taken upon error condition} \begin{lstlisting} call psb_set_erraction(err_act) @@ -205,27 +206,6 @@ Specified as: an integer. Possible values: \verb|psb_act_ret|, \end{description} - -%% \clearpage\subroutine{psb\_errcomm}{Error communication routine} - -%% \begin{lstlisting} -%% call psb_errcomm(icontxt, err) -%% \end{lstlisting} - -%% \begin{description} -%% \item[\bf On Entry] -%% \item[icontxt] the communication context.\\ -%% Scope: {\bf global} \\ -%% Type: {\bf required}\\ -%% Intent: {\bf in}.\\ -%% Specified as: an integer. -%% \item[err] the error code to be communicated\\ -%% Scope: {\bf global} \\ -%% Type: {\bf required}\\ -%% Intent: {\bf inout}.\\ -%% Specified as: an integer.\\ -%% \end{description} - %%% Local Variables: %%% mode: latex %%% TeX-master: "userguide" diff --git a/docs/src/intro.tex b/docs/src/intro.tex index d0fb9b8c..16cdd969 100644 --- a/docs/src/intro.tex +++ b/docs/src/intro.tex @@ -101,7 +101,7 @@ further details on our communication layer see Sec.~\ref{sec:parenv}. \begin{figure}[h] \begin{center} \ifcase\pdfoutput -\includegraphics[scale=0.65]{figures/psblas.eps} +\includegraphics[scale=0.65]{figures/psblas.png} \or \includegraphics[scale=0.65]{figures/psblas} \fi @@ -218,7 +218,7 @@ local rows) is $|{\cal I}_i| + |{\cal B}_i| +|{\cal H}_i|$. \begin{center} \ifcase\pdfoutput %\rotatebox{-90}{ -\includegraphics[scale=0.65]{figures/points.eps}%} +\includegraphics[scale=0.65]{figures/points.png}%} \or \rotatebox{-90}{\includegraphics[scale=0.65]{figures/points}} \fi diff --git a/docs/src/methods.tex b/docs/src/methods.tex index 6a80f92c..4b2f8b66 100644 --- a/docs/src/methods.tex +++ b/docs/src/methods.tex @@ -11,9 +11,8 @@ the module \verb|psb_krylov_mod|. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_krylov \label{krylov} --- Krylov Methods Driver +\clearpage\subsection{psb\_krylov \label{krylov} --- Krylov Methods Driver Routine} -\addcontentsline{toc}{subsection}{psb\_krylov} This subroutine is a driver that provides a general interface for all the Krylov-Subspace family methods implemented in PSBLAS version 2. diff --git a/docs/src/penv.tex b/docs/src/penv.tex index b3ac90ac..9465c8b3 100644 --- a/docs/src/penv.tex +++ b/docs/src/penv.tex @@ -3,9 +3,8 @@ \section{Parallel environment routines} \label{sec:parenv} -\clearpage\subsection*{psb\_init --- Initializes PSBLAS parallel +\clearpage\subsection{psb\_init --- Initializes PSBLAS parallel environment} -\addcontentsline{toc}{subsection}{psb\_init} \begin{verbatim} call psb_init(icontxt, np, basectxt, ids) @@ -62,9 +61,8 @@ Specified as: an integer variable. \end{enumerate} -\clearpage\subsection*{psb\_info --- Return information about PSBLAS parallel +\clearpage\subsection{psb\_info --- Return information about PSBLAS parallel environment} -\addcontentsline{toc}{subsection}{psb\_info} \begin{verbatim} call psb_info(icontxt, iam, np) @@ -110,9 +108,8 @@ Specified as: an integer variable. \ \end{enumerate} -\clearpage\subsection*{psb\_exit --- Exit from PSBLAS parallel +\clearpage\subsection{psb\_exit --- Exit from PSBLAS parallel environment} -\addcontentsline{toc}{subsection}{psb\_exit} \begin{verbatim} call psb_exit(icontxt) @@ -154,8 +151,7 @@ Specified as: a logical variable, default value: true. \end{enumerate} -\clearpage\subsection*{psb\_get\_mpi\_comm --- Get the MPI communicator} -\addcontentsline{toc}{subsection}{psb\_get\_mpi\_comm} +\clearpage\subsection{psb\_get\_mpi\_comm --- Get the MPI communicator} \begin{verbatim} icomm = psb_get_mpi_comm(icontxt) @@ -185,8 +181,7 @@ Intent: {\bf out}.\\ The subroutine version \verb|psb_get_mpicomm| is still available but is deprecated. -\clearpage\subsection*{psb\_get\_mpi\_rank --- Get the MPI rank} -\addcontentsline{toc}{subsection}{psb\_get\_mpi\_rank} +\clearpage\subsection{psb\_get\_mpi\_rank --- Get the MPI rank} \begin{verbatim} rank = psb_get_mpi_rank(icontxt, id) @@ -223,8 +218,7 @@ deprecated. -\clearpage\subsection*{psb\_wtime --- Wall clock timing} -\addcontentsline{toc}{subsection}{psb\_wtime} +\clearpage\subsection{psb\_wtime --- Wall clock timing} \begin{verbatim} time = psb_wtime() @@ -240,9 +234,8 @@ Returned as: a \verb|real(psb_dpk_)| variable. \end{description} -\clearpage\subsection*{psb\_barrier --- Sinchronization point parallel +\clearpage\subsection{psb\_barrier --- Sinchronization point parallel environment} -\addcontentsline{toc}{subsection}{psb\_barrier} \begin{verbatim} call psb_barrier(icontxt) @@ -262,8 +255,7 @@ Specified as: an integer variable. \end{description} -\clearpage\subsection*{psb\_abort --- Abort a computation} -\addcontentsline{toc}{subsection}{psb\_abort} +\clearpage\subsection{psb\_abort --- Abort a computation} \begin{verbatim} call psb_abort(icontxt) @@ -285,8 +277,7 @@ Specified as: an integer variable. -\clearpage\subsection*{psb\_bcast --- Broadcast data} -\addcontentsline{toc}{subsection}{psb\_bcast} +\clearpage\subsection{psb\_bcast --- Broadcast data} \begin{verbatim} call psb_bcast(icontxt, dat, root) @@ -331,8 +322,7 @@ Type, kind, rank and size must agree on all processes. \end{description} -\clearpage\subsection*{psb\_sum --- Global sum} -\addcontentsline{toc}{subsection}{psb\_sum} +\clearpage\subsection{psb\_sum --- Global sum} \begin{verbatim} call psb_sum(icontxt, dat, root) @@ -386,8 +376,7 @@ Type, kind, rank and size must agree on all processes. -\clearpage\subsection*{psb\_max --- Global maximum} -\addcontentsline{toc}{subsection}{psb\_max} +\clearpage\subsection{psb\_max --- Global maximum} \begin{verbatim} call psb_max(icontxt, dat, root) @@ -440,8 +429,7 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subsection*{psb\_min --- Global minimum} -\addcontentsline{toc}{subsection}{psb\_min} +\clearpage\subsection{psb\_min --- Global minimum} \begin{verbatim} call psb_min(icontxt, dat, root) @@ -494,8 +482,7 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subsection*{psb\_amx --- Global maximum absolute value} -\addcontentsline{toc}{subsection}{psb\_amx} +\clearpage\subsection{psb\_amx --- Global maximum absolute value} \begin{verbatim} call psb_amx(icontxt, dat, root) @@ -548,8 +535,7 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subsection*{psb\_amn --- Global minimum absolute value} -\addcontentsline{toc}{subsection}{psb\_amn} +\clearpage\subsection{psb\_amn --- Global minimum absolute value} \begin{verbatim} call psb_amn(icontxt, dat, root) @@ -602,8 +588,7 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subsection*{psb\_nrm2 --- Global 2-norm reduction} -\addcontentsline{toc}{subsection}{psb\_nrm2} +\clearpage\subsection{psb\_nrm2 --- Global 2-norm reduction} \begin{verbatim} call psb_nrm2(icontxt, dat, root) @@ -663,8 +648,7 @@ Kind, rank and size must agree on all processes. -\clearpage\subsection*{psb\_snd --- Send data} -\addcontentsline{toc}{subsection}{psb\_snd} +\clearpage\subsection{psb\_snd --- Send data} \begin{verbatim} call psb_snd(icontxt, dat, dst, m) @@ -715,8 +699,7 @@ same value on sending and receiving processes. \end{enumerate} -\clearpage\subsection*{psb\_rcv --- Receive data} -\addcontentsline{toc}{subsection}{psb\_rcv} +\clearpage\subsection{psb\_rcv --- Receive data} \begin{verbatim} call psb_rcv(icontxt, dat, src, m) diff --git a/docs/src/precs.tex b/docs/src/precs.tex index 6c58bbc0..b976b7ad 100644 --- a/docs/src/precs.tex +++ b/docs/src/precs.tex @@ -23,9 +23,7 @@ backward compatibility %% package, which will characterize release 2.1 of our library. - -\clearpage\subsection*{init --- Initialize a preconditioner} -\addcontentsline{toc}{subsection}{prec\%init} +\clearpage\subsection{init --- Initialize a preconditioner} \begin{verbatim} call prec%init(icontxt,ptype, info) @@ -86,8 +84,7 @@ $ptype$ string as follows\footnote{The string is case-insensitive}: \end{description} -\clearpage\subsection*{build --- Builds a preconditioner} -\addcontentsline{toc}{subsection}{prec\%build} +\clearpage\subsection{build --- Builds a preconditioner} \begin{verbatim} call prec%build(a, desc_a, info[,amold,vmold,imold]) @@ -152,9 +149,8 @@ accelerators. -\clearpage\subsection*{apply --- Preconditioner application +\clearpage\subsection{apply --- Preconditioner application routine} -\addcontentsline{toc}{subsection}{prec\%apply} \begin{verbatim} call prec%apply(x,y,desc_a,info,trans,work) @@ -207,9 +203,8 @@ An integer value; 0 means no error has been detected. -\clearpage\subsection*{descr --- Prints a description of current +\clearpage\subsection{descr --- Prints a description of current preconditioner} -\addcontentsline{toc}{subsection}{prec\%descr} \begin{verbatim} call prec%descr() @@ -240,9 +235,8 @@ all processes will print. Default: 0. -\clearpage\subsection*{clone --- clone current +\clearpage\subsection{clone --- clone current preconditioner} -\addcontentsline{toc}{subsection}{clone} \begin{verbatim} call prec%clone(precout,info) \end{verbatim} @@ -264,8 +258,7 @@ Scope: {\bf local}.\\ \end{description} -\clearpage\subsection*{free --- Free a preconditioner} -\addcontentsline{toc}{subsection}{prec\%free} +\clearpage\subsection{free --- Free a preconditioner} \begin{verbatim} call prec%free(info) diff --git a/docs/src/psbrout.tex b/docs/src/psbrout.tex index d8288093..fbe0d3da 100644 --- a/docs/src/psbrout.tex +++ b/docs/src/psbrout.tex @@ -5,8 +5,7 @@ % DENSE MATRIX SUM % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_geaxpby --- General Dense Matrix Sum} -\addcontentsline{toc}{subsection}{psb\_geaxpby} +\clearpage\subsection{psb\_geaxpby --- General Dense Matrix Sum} This subroutine is an interface to the computational kernel for dense matrix sum: @@ -111,8 +110,7 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_gedot --- Dot Product} -\addcontentsline{toc}{subsection}{psb\_gedot} +\clearpage\subsection{psb\_gedot --- Dot Product} This function computes dot product between two vectors $x$ and $y$.\\ @@ -229,8 +227,7 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_gedots --- Generalized Dot Product} -\addcontentsline{toc}{subsection}{psb\_gedots} +\clearpage\subsection{psb\_gedots --- Generalized Dot Product} This subroutine computes a series of dot products among the columns of two dense matrices $x$ and $y$: @@ -303,8 +300,7 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_normi --- Infinity-Norm of Vector} -\addcontentsline{toc}{subsection}{psb\_normi} +\clearpage\subsection{psb\_normi --- Infinity-Norm of Vector} This function computes the infinity-norm of a vector $x$.\\ @@ -407,8 +403,7 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_geamaxs --- Generalized Infinity Norm} -\addcontentsline{toc}{subsection}{psb\_geamaxs} +\clearpage\subsection{psb\_geamaxs --- Generalized Infinity Norm} This subroutine computes a series of infinity norms on the columns of a dense matrix $x$: @@ -469,8 +464,7 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_norm1 --- 1-Norm of Vector} -\addcontentsline{toc}{subsection}{psb\_norm1} +\clearpage\subsection{psb\_norm1 --- 1-Norm of Vector} This function computes the 1-norm of a vector $x$.\\ If $x$ is a real vector @@ -557,8 +551,7 @@ An integer value; 0 means no error has been detected. \end{enumerate} -\clearpage\subsection*{psb\_geasums --- Generalized 1-Norm of Vector} -\addcontentsline{toc}{subsection}{psb\_geasums} +\clearpage\subsection{psb\_geasums --- Generalized 1-Norm of Vector} This subroutine computes a series of 1-norms on the columns of a dense matrix $x$: @@ -631,8 +624,7 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_norm2 --- 2-Norm of Vector} -\addcontentsline{toc}{subsection}{psb\_norm2} +\clearpage\subsection{psb\_norm2 --- 2-Norm of Vector} This function computes the 2-norm of a vector $x$.\\ If $x$ is a real vector @@ -730,8 +722,7 @@ An integer value; 0 means no error has been detected. -\clearpage\subsection*{psb\_genrm2s --- Generalized 2-Norm of Vector} -\addcontentsline{toc}{subsection}{psb\_genrm2s} +\clearpage\subsection{psb\_genrm2s --- Generalized 2-Norm of Vector} This subroutine computes a series of 2-norms on the columns of a dense matrix $x$: @@ -798,8 +789,7 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_norm1 --- 1-Norm of Sparse Matrix} -\addcontentsline{toc}{subsection}{psb\_norm1} +\clearpage\subsection{psb\_norm1 --- 1-Norm of Sparse Matrix} This function computes the 1-norm of a matrix $A$:\\ @@ -863,8 +853,7 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_normi --- Infinity Norm of Sparse Matrix} -\addcontentsline{toc}{subsection}{psb\_normi} +\clearpage\subsection{psb\_normi --- Infinity Norm of Sparse Matrix} This function computes the infinity-norm of a matrix $A$:\\ @@ -928,9 +917,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_spmm --- Sparse Matrix by Dense Matrix +\clearpage\subsection{psb\_spmm --- Sparse Matrix by Dense Matrix Product} -\addcontentsline{toc}{subsection}{psb\_spmm} This subroutine computes the Sparse Matrix by Dense Matrix Product: @@ -1081,8 +1069,7 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subsection*{psb\_spsm --- Triangular System Solve} -\addcontentsline{toc}{subsection}{psb\_spsm} +\clearpage\subsection{psb\_spsm --- Triangular System Solve} This subroutine computes the Triangular System Solve: @@ -1244,8 +1231,216 @@ Intent: {\bf out}.\\ An integer value; 0 means no error has been detected. \end{description} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% VECTOR VECTOR OPERATIONS +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\clearpage\subsection{psb\_gemlt --- Entrywise Product} + +This function computes the entrywise product between two vectors $x$ and +$y$ +\[dot \leftarrow x(i) y(i).\] + +\begin{verbatim} +psb_gemlt(x, y, desc_a, info) +\end{verbatim} +%% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} +\begin{table}[h] + \begin{center} + \begin{tabular}{ll} + \hline + $dot$, $x$, $y$ & {\bf Function}\\ + \hline + Short Precision Real & psb\_gemlt \\ + Long Precision Real & psb\_gemlt \\ + Short Precision Complex & psb\_gemlt \\ + Long Precision Complex & psb\_gemlt \\ + \hline + \end{tabular} + \end{center} + \caption{Data types\label{tab:f90mlt}} +\end{table} + +\begin{description} + \item[Type:] Synchronous. + \item[\bf On Entry] + \item[x] the local portion of global dense vector + $x$.\\ + %% This function computes the location of the first element of + %% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[y] the local portion of global dense vector + $y$. \\ + %% This function computes the location of the first element of + %% local subarray used, based on $iy, jy$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[desc\_a] contains data structures for communications.\\ + Scope: {\bf local} \\ + Type: {\bf required}\\ + Intent: {\bf in}.\\ + Specified as: an object of type \descdata. + \item[\bf On Return] + \item[y] the local portion of result submatrix $y$.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf inout}.\\ + Specified as: an object of type \vdata\ containing numbers of the type + indicated in Table~\ref{tab:f90mlt}. + \item[info] Error code.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + An integer value; 0 means no error has been detected. +\end{description} + +\clearpage\subsection{psb\_gediv --- Entrywise Division} + +This function computes the entrywise division between two vectors $x$ and +$y$ +\[/ \leftarrow x(i)/y(i).\] +\begin{verbatim} +psb_gediv(x, y, desc_a, info, [flag) +\end{verbatim} +%% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} +\begin{table}[h] + \begin{center} + \begin{tabular}{ll} + \hline + $/$, $x$, $y$ & {\bf Function}\\ + \hline + Short Precision Real & psb\_gediv \\ + Long Precision Real & psb\_gediv \\ + Short Precision Complex & psb\_gediv \\ + Long Precision Complex & psb\_gediv \\ + \hline + \end{tabular} + \end{center} + \caption{Data types\label{tab:f90div}} +\end{table} + +\begin{description} + \item[Type:] Synchronous. + \item[\bf On Entry] + \item[x] the local portion of global dense vector + $x$.\\ + %% This function computes the location of the first element of + %% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[y] the local portion of global dense vector + $y$. \\ + %% This function computes the location of the first element of + %% local subarray used, based on $iy, jy$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[desc\_a] contains data structures for communications.\\ + Scope: {\bf local} \\ + Type: {\bf required}\\ + Intent: {\bf in}.\\ + Specified as: an object of type \descdata. + \item[flag] check if any of the $y(i) = 0$, and in case returns error halting the computation.\\ + Scope: {\bf local} \\ + Type: {\bf optional} + Intent: {\bf in}.\\ + Specified as: the logical value \verb|flag=.true.| + \item[\bf On Return] + \item[x] the local portion of result submatrix $x$.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf inout}.\\ + Specified as: an object of type \vdata\ containing numbers of the type + indicated in Table~\ref{tab:f90mlt}. + \item[info] Error code.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + An integer value; 0 means no error has been detected. +\end{description} + +\clearpage\subsection{psb\_geinv --- Entrywise Inversion} +This function computes the entrywise inverse of a vector $x$ and puts it into +$y$ +\[/ \leftarrow 1/x(i).\] + +\begin{verbatim} +psb_geinv(x, y, desc_a, info, [flag) +\end{verbatim} +%% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} +\begin{table}[h] + \begin{center} + \begin{tabular}{ll} + \hline + $/$, $x$, $y$ & {\bf Function}\\ + \hline + Short Precision Real & psb\_geinv \\ + Long Precision Real & psb\_geinv \\ + Short Precision Complex & psb\_geinv \\ + Long Precision Complex & psb\_geinv \\ + \hline + \end{tabular} + \end{center} + \caption{Data types\label{tab:f90inv}} +\end{table} + +\begin{description} + \item[Type:] Synchronous. + \item[\bf On Entry] + \item[x] the local portion of global dense vector + $x$.\\ + %% This function computes the location of the first element of + %% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[desc\_a] contains data structures for communications.\\ + Scope: {\bf local} \\ + Type: {\bf required}\\ + Intent: {\bf in}.\\ + Specified as: an object of type \descdata. + \item[flag] check if any of the $x(i) = 0$, and in case returns error halting the computation.\\ + Scope: {\bf local} \\ + Type: {\bf optional} + Intent: {\bf in}.\\ + Specified as: the logical value \verb|flag=.true.| + \item[\bf On Return] + \item[y] the local portion of result submatrix $x$.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + Specified as: an object of type \vdata\ containing numbers of the type + indicated in Table~\ref{tab:f90inv}. + \item[info] Error code.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + An integer value; 0 means no error has been detected. +\end{description} %%% Local Variables: %%% mode: latex diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex index ee490eec..95639b84 100644 --- a/docs/src/toolsrout.tex +++ b/docs/src/toolsrout.tex @@ -5,8 +5,7 @@ % %% psb_cdall %% % -\subsection*{psb\_cdall --- Allocates a communication descriptor} -\addcontentsline{toc}{subsection}{psb\_cdall} +\subsection{psb\_cdall --- Allocates a communication descriptor} \begin{verbatim} call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts) @@ -196,9 +195,8 @@ An integer value; 0 means no error has been detected. % %% psb_cdins %% % -\clearpage\subsection*{psb\_cdins --- Communication descriptor insert +\clearpage\subsection{psb\_cdins --- Communication descriptor insert routine} -\addcontentsline{toc}{subsection}{psb\_cdins} \begin{verbatim} call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla]) @@ -292,9 +290,8 @@ nor the end vertex belong to the current process. % %% psb_cdasb %% % -\clearpage\subsection*{psb\_cdasb --- Communication descriptor assembly +\clearpage\subsection{psb\_cdasb --- Communication descriptor assembly routine} -\addcontentsline{toc}{subsection}{psb\_cdasb} \begin{verbatim} call psb_cdasb(desc_a, info [, mold]) @@ -347,8 +344,7 @@ speed up the subsequent call to \verb|psb_cdasb|. % %% psb_cdcpy %% % -\clearpage\subsection*{psb\_cdcpy --- Copies a communication descriptor} -\addcontentsline{toc}{subsection}{psb\_cdcpy} +\clearpage\subsection{psb\_cdcpy --- Copies a communication descriptor} \begin{verbatim} call psb_cdcpy(desc_in, desc_out, info) @@ -383,8 +379,7 @@ An integer value; 0 means no error has been detected. % %% psb_cdfree %% % -\clearpage\subsection*{psb\_cdfree --- Frees a communication descriptor} -\addcontentsline{toc}{subsection}{psb\_cdfree} +\clearpage\subsection{psb\_cdfree --- Frees a communication descriptor} \begin{verbatim} call psb_cdfree(desc_a, info) @@ -414,9 +409,8 @@ An integer value; 0 means no error has been detected. % %% psb_cdcpy %% % -\clearpage\subsection*{psb\_cdbldext --- Build an extended communication +\clearpage\subsection{psb\_cdbldext --- Build an extended communication descriptor} -\addcontentsline{toc}{subsection}{psb\_cdbldext} \begin{verbatim} call psb_cdbldext(a,desc_a,nl,desc_out, info, extype) @@ -484,9 +478,9 @@ An integer value; 0 means no error has been detected. %% % %% %% psb_cdren %% %% % -%% \subsection*{psb\_cdren --- Applies a renumeration to a +%% \subsection{psb\_cdren --- Applies a renumeration to a %% communication descriptor} -%% \addcontentsline{toc}{subsection}{psb\_cdren} +%%% \addcontentsline{toc}{subsection}{psb\_cdren} %% \syntax{call psb\_cdren}{trans, iperm, desc\_a, info} @@ -521,8 +515,7 @@ An integer value; 0 means no error has been detected. % %% psb_descprt %% % -%% \subsection*{psb\_cdprt --- Prints a descriptor} -%%\addcontentsline{toc}{subsection}{psb\_cdprt} +%% \subsection{psb\_cdprt --- Prints a descriptor} %% \syntax{call psb\_cdprt}{iout, desc\_a, glob, short} @@ -551,8 +544,7 @@ An integer value; 0 means no error has been detected. % %% psb_spalloc %% % -\clearpage\subsection*{psb\_spall --- Allocates a sparse matrix} -\addcontentsline{toc}{subsection}{psb\_spall} +\clearpage\subsection{psb\_spall --- Allocates a sparse matrix} \begin{verbatim} call psb_spall(a, desc_a, info, nnz) @@ -603,9 +595,8 @@ An integer value; 0 means no error has been detected. % %% psb_spins %% % -\clearpage\subsection*{psb\_spins --- Insert a set of coefficients into a sparse +\clearpage\subsection{psb\_spins --- Insert a set of coefficients into a sparse matrix} -\addcontentsline{toc}{subsection}{psb\_spins} \begin{verbatim} call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) @@ -730,8 +721,7 @@ An integer value; 0 means no error has been detected. % %% psb_spasb %% % -\clearpage\subsection*{psb\_spasb --- Sparse matrix assembly routine} -\addcontentsline{toc}{subsection}{psb\_spasb} +\clearpage\subsection{psb\_spasb --- Sparse matrix assembly routine} \begin{verbatim} call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold) @@ -805,9 +795,8 @@ An integer value; 0 means no error has been detected. %% % %% %% psb_spcnv %% %% % -%% \subsection*{psb\_spcnv --- Converts a sparse matrix storage +%% \subsection{psb\_spcnv --- Converts a sparse matrix storage %% format} -%%\addcontentsline{toc}{subsection}{psb\_spcnv} %% \syntax{call psb\_spcnv}{a, b, desc\_a, info} @@ -840,8 +829,7 @@ An integer value; 0 means no error has been detected. % %% psb_spfree %% % -\clearpage\subsection*{psb\_spfree --- Frees a sparse matrix} -\addcontentsline{toc}{subsection}{psb\_spfree} +\clearpage\subsection{psb\_spfree --- Frees a sparse matrix} \begin{verbatim} call psb_spfree(a, desc_a, info) @@ -877,9 +865,8 @@ An integer value; 0 means no error has been detected. % %% psb_sprn %% % -\clearpage\subsection*{psb\_sprn --- Reinit sparse matrix structure for psblas +\clearpage\subsection{psb\_sprn --- Reinit sparse matrix structure for psblas routines.} -\addcontentsline{toc}{subsection}{psb\_sprn} \begin{verbatim} call psb_sprn(a, decsc_a, info, clear) @@ -921,8 +908,7 @@ An integer value; 0 means no error has been detected. % %% psb_spupdate %% % -%% \subsection*{psb\_spupdate --- Updates a sparse matrix.} -%%\addcontentsline{toc}{subsection}{psb\_spupdate} +%% \subsection{psb\_spupdate --- Updates a sparse matrix.} %% \syntax{call psb\_spupdate}{a, ia, ja, blck, desc\_a, info, ix, jx, updflag} @@ -936,9 +922,8 @@ An integer value; 0 means no error has been detected. %% % %% %% psb_csrp %% %% % -%% \subsection*{psb\_csrp --- Applies a right permutation to a sparse +%% \subsection{psb\_csrp --- Applies a right permutation to a sparse %% matrix} -%%\addcontentsline{toc}{subsection}{psb\_csrp} %% \syntax{call psb\_csrp}{trans, iperm, a, info} @@ -968,8 +953,8 @@ An integer value; 0 means no error has been detected. % %% psb_alloc %% % -\clearpage\subsection*{psb\_geall --- Allocates a dense matrix} -\addcontentsline{toc}{subsection}{psb\_geall} +\clearpage\subsection{psb\_geall --- Allocates a dense matrix} +%\addcontentsline{toc}{subsection}{psb\_geall} \begin{verbatim} call psb_geall(x, desc_a, info, n, lb) @@ -1016,8 +1001,8 @@ An integer value; 0 means no error has been detected. % %% psb_ins %% % -\clearpage\subsection*{psb\_geins --- Dense matrix insertion routine} -\addcontentsline{toc}{subsection}{psb\_geins} +\clearpage\subsection{psb\_geins --- Dense matrix insertion routine} +%\addcontentsline{toc}{subsection}{psb\_geins} \begin{verbatim} call psb_geins(m, irw, val, x, desc_a, info [,dupl,local]) @@ -1089,8 +1074,8 @@ An integer value; 0 means no error has been detected. % %% psb_asb %% % -\clearpage\subsection*{psb\_geasb --- Assembly a dense matrix} -\addcontentsline{toc}{subsection}{psb\_geasb} +\clearpage\subsection{psb\_geasb --- Assembly a dense matrix} +%\addcontentsline{toc}{subsection}{psb\_geasb} \begin{verbatim} call psb_geasb(x, desc_a, info, mold) @@ -1129,8 +1114,8 @@ An integer value; 0 means no error has been detected. % %% psb_free %% % -\clearpage\subsection*{psb\_gefree --- Frees a dense matrix} -\addcontentsline{toc}{subsection}{psb\_gefree} +\clearpage\subsection{psb\_gefree --- Frees a dense matrix} +%\addcontentsline{toc}{subsection}{psb\_gefree} \begin{verbatim} call psb_gefree(x, desc_a, info) @@ -1167,9 +1152,9 @@ An integer value; 0 means no error has been detected. % %% psb_gelp %% % -\clearpage\subsection*{psb\_gelp --- Applies a left permutation to a dense +\clearpage\subsection{psb\_gelp --- Applies a left permutation to a dense matrix} -\addcontentsline{toc}{subsection}{psb\_gelp} +%\addcontentsline{toc}{subsection}{psb\_gelp} \begin{verbatim} call psb_gelp(trans, iperm, x, info) @@ -1208,9 +1193,9 @@ An integer value; 0 means no error has been detected. % %% psb_glob_to_loc %% % -\clearpage\subsection*{psb\_glob\_to\_loc --- Global to local indices +\clearpage\subsection{psb\_glob\_to\_loc --- Global to local indices convertion} -\addcontentsline{toc}{subsection}{psb\_glob\_to\_loc} +%\addcontentsline{toc}{subsection}{psb\_glob\_to\_loc} \begin{verbatim} call psb_glob_to_loc(x, y, desc_a, info, iact,owned) @@ -1276,9 +1261,9 @@ An integer value; 0 means no error has been detected. \end{enumerate} -\clearpage\subsection*{psb\_loc\_to\_glob --- Local to global indices +\clearpage\subsection{psb\_loc\_to\_glob --- Local to global indices conversion} -\addcontentsline{toc}{subsection}{psb\_loc\_to\_glob} +%\addcontentsline{toc}{subsection}{psb\_loc\_to\_glob} \begin{verbatim} call psb_loc_to_glob(x, y, desc_a, info, iact) @@ -1333,8 +1318,8 @@ An integer value; 0 means no error has been detected. % %% psb_loc_to_glob %% % -\clearpage\subsection*{psb\_is\_owned --- } -\addcontentsline{toc}{subsection}{psb\_is\_owned } +\clearpage\subsection{psb\_is\_owned --- } +%\addcontentsline{toc}{subsection}{psb\_is\_owned } \begin{verbatim} call psb_is_owned(x, desc_a) @@ -1373,8 +1358,8 @@ Intent: {\bf out}.\\ \end{enumerate} -\clearpage\subsection*{psb\_owned\_index --- } -\addcontentsline{toc}{subsection}{psb\_owned\_index } +\clearpage\subsection{psb\_owned\_index --- } +%\addcontentsline{toc}{subsection}{psb\_owned\_index } \begin{verbatim} call psb_owned_index(y, x, desc_a, info) @@ -1425,8 +1410,8 @@ An integer value; 0 means no error has been detected. \end{enumerate} -\clearpage\subsection*{psb\_is\_local --- } -\addcontentsline{toc}{subsection}{psb\_is\_local } +\clearpage\subsection{psb\_is\_local --- } +%\addcontentsline{toc}{subsection}{psb\_is\_local } \begin{verbatim} call psb_is_local(x, desc_a) @@ -1464,8 +1449,8 @@ Intent: {\bf out}.\\ indices \end{enumerate} -\clearpage\subsection*{psb\_local\_index --- } -\addcontentsline{toc}{subsection}{psb\_local\_index } +\clearpage\subsection{psb\_local\_index --- } +%\addcontentsline{toc}{subsection}{psb\_local\_index } \begin{verbatim} call psb_local_index(y, x, desc_a, info) @@ -1520,9 +1505,9 @@ An integer value; 0 means no error has been detected. % %% psb_ins %% % -\clearpage\subsection*{psb\_get\_boundary --- Extract list of boundary +\clearpage\subsection{psb\_get\_boundary --- Extract list of boundary elements} -\addcontentsline{toc}{subsection}{psb\_get\_boundary} +%\addcontentsline{toc}{subsection}{psb\_get\_boundary} \begin{verbatim} call psb_get_boundary(bndel, desc, info) @@ -1563,9 +1548,9 @@ An integer value; 0 means no error has been detected. number of boundary elements. \end{enumerate} -\clearpage\subsection*{psb\_get\_overlap --- Extract list of overlap +\clearpage\subsection{psb\_get\_overlap --- Extract list of overlap elements} -\addcontentsline{toc}{subsection}{psb\_get\_overlap} +%\addcontentsline{toc}{subsection}{psb\_get\_overlap} \begin{verbatim} call psb_get_overlap(ovrel, desc, info) @@ -1607,9 +1592,9 @@ An integer value; 0 means no error has been detected. -\clearpage\subsection*{psb\_sp\_getrow --- Extract row(s) from a sparse +\clearpage\subsection{psb\_sp\_getrow --- Extract row(s) from a sparse matrix} -\addcontentsline{toc}{subsection}{psb\_sp\_getrow} +%\addcontentsline{toc}{subsection}{psb\_sp\_getrow} \begin{verbatim} call psb_sp_getrow(row, a, nz, ia, ja, val, info, & @@ -1701,8 +1686,8 @@ An integer value; 0 means no error has been detected. -\clearpage\subsection*{psb\_sizeof --- Memory occupation} -\addcontentsline{toc}{subsection}{psb\_sizeof} +\clearpage\subsection{psb\_sizeof --- Memory occupation} +%\addcontentsline{toc}{subsection}{psb\_sizeof} This function computes the memory occupation of a PSBLAS object. @@ -1740,8 +1725,8 @@ Returned as: an \verb|integer(psb_long_int_k_)| number. \end{description} -\clearpage\subsection*{Sorting utilities --- } -\addcontentsline{toc}{subsection}{Sorting utilities} +\clearpage\subsection{Sorting utilities --- } +%\addcontentsline{toc}{subsection}{Sorting utilities} {\par\noindent\large\bfseries psb\_msort --- Sorting by the Merge-sort algorithm} diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index d9d554dd..77f52d6f 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -8,7 +8,6 @@ bookmarksnumbered=true, bookmarksopen=false, plainpages=false, - pdfpagelabels, colorlinks, linkcolor=blue]{hyperref} \usepackage{ifthen} @@ -21,18 +20,6 @@ %\setboolean{mtc}{true} \pdfoutput=0 -% \relax -% \pdfcompresslevel=0 %-- 0 = none, 9 = best -% \pdfinfo{ %-- Info dictionary of PDF output /Author (Alfredo Buttari) -% /Title (Parallel Sparse BLAS V. 3.7.0) -% /Subject (Parallel Sparse Basic Linear Algebra Subroutines) -% /Keywords (Computer Science Linear Algebra Fluid Dynamics Parallel Linux MPI PSBLAS Iterative Solvers Preconditioners) -% /Creator (pdfLaTeX) -% /Producer ($Id: userguide.tex 1978 2007-10-19 14:51:12Z sfilippo $) -% } -% \pdfcatalog{ %-- Catalog dictionary of PDF output. -% /URI (http://ce.uniroma2.it/psblas) -% } \newcounter{subroutine}[subsection] \newcounter{example}[subroutine] diff --git a/docs/src/util.tex b/docs/src/util.tex index 4d1ba295..fdd7d01d 100644 --- a/docs/src/util.tex +++ b/docs/src/util.tex @@ -9,9 +9,8 @@ module \verb|psb_util_mod|. %\subroutine{PSB\_HBIO\_MOD}{Input/Output in Harwell-Boeing format} -\clearpage\subsection*{ hb\_read --- Read a sparse matrix from a file in the +\clearpage\subsection{ hb\_read --- Read a sparse matrix from a file in the Harwell--Boeing format} -\addcontentsline{toc}{subsection}{hb\_read} \begin{lstlisting} @@ -53,9 +52,8 @@ An integer value; 0 means no error has been detected. -\clearpage\subsection*{hb\_write --- Write a sparse matrix to a file +\clearpage\subsection{hb\_write --- Write a sparse matrix to a file in the Harwell--Boeing format} -\addcontentsline{toc}{subsection}{hb\_write} \begin{lstlisting} @@ -107,9 +105,8 @@ An integer value; 0 means no error has been detected. %\subroutine{PSB\_MMIO\_MOD}{Input/Output in MatrixMarket format} -\clearpage\subsection*{mm\_mat\_read --- Read a sparse matrix from a +\clearpage\subsection{mm\_mat\_read --- Read a sparse matrix from a file in the MatrixMarket format} -\addcontentsline{toc}{subsection}{mm\_mat\_read} \begin{lstlisting} call mm_mat_read(a, iret, iunit, filename) @@ -139,9 +136,8 @@ An integer value; 0 means no error has been detected. \end{description} -\clearpage\subsection*{mm\_array\_read --- Read a dense array from a +\clearpage\subsection{mm\_array\_read --- Read a dense array from a file in the MatrixMarket format} -\addcontentsline{toc}{subsection}{mm\_array\_read} \begin{lstlisting} call mm_array_read(b, iret, iunit, filename) @@ -174,9 +170,8 @@ An integer value; 0 means no error has been detected. -\clearpage\subsection*{mm\_mat\_write --- Write a sparse matrix to a +\clearpage\subsection{mm\_mat\_write --- Write a sparse matrix to a file in the MatrixMarket format} -\addcontentsline{toc}{subsection}{mm\_mat\_write} \begin{lstlisting} @@ -210,9 +205,8 @@ An integer value; 0 means no error has been detected. \end{description} -\clearpage\subsection*{mm\_array\_write --- Write a dense array from a +\clearpage\subsection{mm\_array\_write --- Write a dense array from a file in the MatrixMarket format} -\addcontentsline{toc}{subsection}{mm\_array\_write} \begin{lstlisting} call mm_array_write(b, iret, iunit, filename)