- psb_geaxpby -- General Dense Matrix Sum
+ HREF="node49.html">Computational routines
+
- psb_gedot -- Dot Product + HREF="node50.html">psb_geaxpby -- General Dense Matrix Sum
- psb_gedots -- Generalized Dot Product + HREF="node51.html">psb_gedot -- Dot Product
- psb_normi -- Infinity-Norm of Vector + HREF="node52.html">psb_gedots -- Generalized Dot Product
- psb_geamaxs -- Generalized Infinity Norm + HREF="node53.html">psb_normi -- Infinity-Norm of Vector
- psb_norm1 -- 1-Norm of Vector + HREF="node54.html">psb_geamaxs -- Generalized Infinity Norm
- psb_geasums -- Generalized 1-Norm of Vector + HREF="node55.html">psb_norm1 -- 1-Norm of Vector
- psb_norm2 -- 2-Norm of Vector + HREF="node56.html">psb_geasums -- Generalized 1-Norm of Vector
- psb_genrm2s -- Generalized 2-Norm of Vector + HREF="node57.html">psb_norm2 -- 2-Norm of Vector
- psb_norm1 -- 1-Norm of Sparse Matrix + HREF="node58.html">psb_genrm2s -- Generalized 2-Norm of Vector
- psb_normi -- Infinity Norm of Sparse Matrix + HREF="node59.html">psb_norm1 -- 1-Norm of Sparse Matrix
- psb_spmm -- Sparse Matrix by Dense Matrix - Product + HREF="node60.html">psb_normi -- Infinity Norm of Sparse Matrix
- psb_spsm -- Triangular System Solve + HREF="node61.html">psb_spmm -- Sparse Matrix by Dense Matrix + Product +
- psb_spsm -- Triangular System Solve
- - Communication routines
-
- psb_halo -- Halo Data Communication
+ HREF="node63.html">Communication routines
+
- psb_ovrl -- Overlap Update + HREF="node64.html">psb_halo -- Halo Data Communication
- psb_gather -- Gather Global Dense Matrix + HREF="node65.html">psb_ovrl -- Overlap Update
- psb_scatter -- Scatter Global Dense Matrix + HREF="node66.html">psb_gather -- Gather Global Dense Matrix +
- psb_scatter -- Scatter Global Dense Matrix
- - Data management routines
-
- psb_cdall -- Allocates a communication descriptor
+ HREF="node68.html">Data management routines
+
- psb_cdins -- Communication descriptor insert - routine + HREF="node69.html">psb_cdall -- Allocates a communication descriptor
- psb_cdasb -- Communication descriptor assembly + HREF="node70.html">psb_cdins -- Communication descriptor insert routine
- psb_cdcpy -- Copies a communication descriptor + HREF="node71.html">psb_cdasb -- Communication descriptor assembly + routine
- psb_cdfree -- Frees a communication descriptor + HREF="node72.html">psb_cdcpy -- Copies a communication descriptor
- psb_cdbldext -- Build an extended communication - descriptor + HREF="node73.html">psb_cdfree -- Frees a communication descriptor
- psb_spall -- Allocates a sparse matrix + HREF="node74.html">psb_cdbldext -- Build an extended communication + descriptor
- psb_spins -- Insert a cloud of elements into a sparse - matrix + HREF="node75.html">psb_spall -- Allocates a sparse matrix
- psb_spasb -- Sparse matrix assembly routine + HREF="node76.html">psb_spins -- Insert a cloud of elements into a sparse + matrix
- psb_spfree -- Frees a sparse matrix + HREF="node77.html">psb_spasb -- Sparse matrix assembly routine
- psb_sprn -- Reinit sparse matrix structure for psblas - routines. + HREF="node78.html">psb_spfree -- Frees a sparse matrix
- psb_geall -- Allocates a dense matrix + HREF="node79.html">psb_sprn -- Reinit sparse matrix structure for psblas + routines.
- psb_geins -- Dense matrix insertion routine + HREF="node80.html">psb_geall -- Allocates a dense matrix
- psb_geasb -- Assembly a dense matrix + HREF="node81.html">psb_geins -- Dense matrix insertion routine
- psb_gefree -- Frees a dense matrix + HREF="node82.html">psb_geasb -- Assembly a dense matrix
- psb_gelp -- Applies a left permutation to a dense - matrix + HREF="node83.html">psb_gefree -- Frees a dense matrix
- psb_glob_to_loc -- Global to local indices - convertion + HREF="node84.html">psb_gelp -- Applies a left permutation to a dense + matrix
- psb_loc_to_glob -- Local to global indices - conversion + HREF="node85.html">psb_glob_to_loc -- Global to local indices + convertion
- psb_is_owned -- + HREF="node86.html">psb_loc_to_glob -- Local to global indices + conversion
- psb_owned_index -- + HREF="node87.html">psb_is_owned --
- psb_is_local -- + HREF="node88.html">psb_owned_index --
- psb_local_index -- + HREF="node89.html">psb_is_local --
- psb_get_boundary -- Extract list of boundary - elements + HREF="node90.html">psb_local_index --
- psb_get_overlap -- Extract list of overlap + HREF="node91.html">psb_get_boundary -- Extract list of boundary elements
- psb_sp_getrow -- Extract row(s) from a sparse - matrix + HREF="node92.html">psb_get_overlap -- Extract list of overlap + elements
- psb_sizeof -- Memory occupation + HREF="node93.html">psb_sp_getrow -- Extract row(s) from a sparse + matrix
- Sorting utilities -- + HREF="node94.html">psb_sizeof -- Memory occupation +
- Sorting utilities --
- - Parallel environment routines
-
- psb_init -- Initializes PSBLAS parallel
- environment
+ HREF="node96.html">Parallel environment routines
+
- psb_info -- Return information about PSBLAS parallel + HREF="node97.html">psb_init -- Initializes PSBLAS parallel environment
- psb_exit -- Exit from PSBLAS parallel + HREF="node98.html">psb_info -- Return information about PSBLAS parallel environment
- psb_get_mpicomm -- Get the MPI communicator + HREF="node99.html">psb_exit -- Exit from PSBLAS parallel + environment
- psb_get_rank -- Get the MPI rank + HREF="node100.html">psb_get_mpicomm -- Get the MPI communicator
- psb_wtime -- Wall clock timing + HREF="node101.html">psb_get_rank -- Get the MPI rank
- psb_barrier -- Sinchronization point parallel - environment + HREF="node102.html">psb_wtime -- Wall clock timing
- psb_abort -- Abort a computation + HREF="node103.html">psb_barrier -- Sinchronization point parallel + environment
- psb_bcast -- Broadcast data + HREF="node104.html">psb_abort -- Abort a computation
- psb_sum -- Global sum + HREF="node105.html">psb_bcast -- Broadcast data
- psb_max -- Global maximum + HREF="node106.html">psb_sum -- Global sum
- psb_min -- Global minimum + HREF="node107.html">psb_max -- Global maximum
- psb_amx -- Global maximum absolute value + HREF="node108.html">psb_min -- Global minimum
- psb_amn -- Global minimum absolute value + HREF="node109.html">psb_amx -- Global maximum absolute value
- psb_snd -- Send data + HREF="node110.html">psb_amn -- Global minimum absolute value
- psb_rcv -- Receive data + HREF="node111.html">psb_snd -- Send data +
- psb_rcv -- Receive data
- - Error handling
- Utilities
-
-
+ HREF="node113.html">Error handling
- hb_read -- Read a sparse matrix from a file in the
- Harwell-Boeing format
+ HREF="node114.html">Utilities
+
- hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format + HREF="node115.html">hb_read -- Read a sparse matrix from a file in the + Harwell-Boeing format
- mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format + HREF="node116.html">hb_write -- Write a sparse matrix to a file + in the Harwell-Boeing format
- mm_array_read -- Read a dense array from a + HREF="node117.html">mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format
- mm_mat_write -- Write a sparse matrix to a + HREF="node118.html">mm_array_read -- Read a dense array from a file in the MatrixMarket format
- mm_array_write -- Write a dense array from a + HREF="node119.html">mm_mat_write -- Write a sparse matrix to a + file in the MatrixMarket format +
- mm_array_write -- Write a dense array from a file in the MatrixMarket format
- - Preconditioner routines
-
- psb_precinit -- Initialize a preconditioner
+ HREF="node121.html">Preconditioner routines
+
- psb_precbld -- Builds a preconditioner + HREF="node122.html">psb_precinit -- Initialize a preconditioner
- psb_precaply -- Preconditioner application - routine + HREF="node123.html">psb_precbld -- Builds a preconditioner
- psb_precdescr -- Prints a description of current - preconditioner + HREF="node124.html">psb_precaply -- Preconditioner application + routine
- clone -- clone current + HREF="node125.html">psb_precdescr -- Prints a description of current + preconditioner +
- clone -- clone current preconditioner
- - Iterative Methods
-
- psb_krylov -- Krylov Methods Driver
+ HREF="node127.html">Iterative Methods
+
- - Bibliography
- About this document ... + HREF="node129.html">Bibliography +
- About this document ...
diff --git a/docs/html/node1.html b/docs/html/node1.html index 6477830f..49efb280 100644 --- a/docs/html/node1.html +++ b/docs/html/node1.html @@ -1,6 +1,6 @@ - -
-
-
- Next: Next: Introduction - Up: Up: userhtml - Previous: Previous: userhtml
@@ -53,58 +53,62 @@ Contents-
-
- Introduction
- Introduction +
- General overview
-
-
- Basic Nomenclature
- Library contents + HREF="node4.html">Basic Nomenclature
- Application structure + HREF="node5.html">Library contents
- Application structure +
- Programming model
- - Data Structures and Classes
-
-
- Descriptor data structure
- Sparse Matrix class + HREF="node10.html">Descriptor data structure
- Dense Vector Data Structure + HREF="node22.html">Sparse Matrix class
- Dense Vector Data Structure +
- Preconditioner data structure +
- Heap data structure
- - Computational routines -
- Communication routines
- Data management routines + HREF="node49.html">Computational routines
- Parallel environment routines + HREF="node63.html">Communication routines
- Error handling + HREF="node68.html">Data management routines
- Utilities + HREF="node96.html">Parallel environment routines
- Preconditioner routines + HREF="node113.html">Error handling
- Iterative Methods + HREF="node114.html">Utilities
- Bibliography + HREF="node121.html">Preconditioner routines +
- Iterative Methods +
- Bibliography
- + + +
diff --git a/docs/html/node10.html b/docs/html/node10.html index 83b32fb0..b71e4ed5 100644 --- a/docs/html/node10.html +++ b/docs/html/node10.html @@ -1,6 +1,6 @@ - -
-
-
-
- Next: Next: Descriptor Methods - Up: Up: Data Structures and Classes - Previous: Previous: Data Structures and Classes - Contents
@@ -66,7 +66,7 @@ necessary for implementing the various algorithms of interest to us.The data structure itself
psb_desc_typecan be treated as an opaque object handled via the tools routines of -Sec. 6 or the query routines detailed below; +Sec. 6 or the query routines detailed below; nevertheless we include here a description for the curious reader. @@ -117,7 +117,7 @@ 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 mode of initialization (see also 6).The descriptor contents are as follows: @@ -202,12 +202,13 @@ Specified as: an allocatable integer array of rank two. The Fortran 2003 declaration for
psb_desc_typestructures is as follows: -+Figure 3: The PSBLAS defined data type that contains the communication descriptor. -++ @@ -249,54 +250,54 @@ state, which can take the following values: Subsections
-
-
- Descriptor Methods -
- get_local_rows -- Get number of local rows -
- get_local_cols -- Get number of local cols -
- get_global_rows -- Get number of global rows -
- get_global_cols -- Get number of global cols -
- get_global_indices -- Get vector of global indices -
- get_context -- Get communication context -
- Clone -- clone current object -
- psb_cd_get_large_threshold -- Get threshold for index mapping switch -
- psb_cd_set_large_threshold -- Set threshold for index mapping switch -
- Named Constants
-
-
-
-
- Next: Next: Descriptor Methods - Up: Up: Data Structures and Classes - Previous: Previous: Data Structures and Classes - Contents diff --git a/docs/html/node100.html b/docs/html/node100.html index d33b4687..030d5dcd 100644 --- a/docs/html/node100.html +++ b/docs/html/node100.html @@ -1,70 +1,67 @@ - -psb_get_rank -- Get the MPI rank - +psb_get_mpicomm -- Get the MPI communicator + - + - + -
-
+
-
-
- Next: psb_wtime Wall - Up: Parallel environment routines - Previous: psb_get_mpicomm Get - Next: psb_get_rank Get + Up: Parallel environment routines + Previous: psb_exit Exit + Contents
--psb_get_rank -- Get the MPI rank +
+psb_get_mpicomm -- Get the MPI communicator
-call psb_get_rank(rank, icontxt, id) +call psb_get_mpicomm(icontxt, icomm)
-This subroutine returns the MPI rank of the PSBLAS process
+This subroutine returns the MPI communicator associated with a PSBLAS context
- Type:
- Asynchronous.
@@ -84,22 +81,6 @@ 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. -
@@ -107,13 +88,10 @@ Specified as: an integer value.
-psb_wtime -- Wall clock timing - +psb_get_rank -- Get the MPI rank + - + - + -
-
+
-
-
- Next: psb_barrier Sinchronization - Up: Parallel environment routines - Previous: psb_get_rank Get - Next: psb_wtime Wall + Up: Parallel environment routines + Previous: psb_get_mpicomm Get + Contents
--psb_wtime -- Wall clock timing +
+psb_get_rank -- Get the MPI rank
-time = psb_wtime() +call psb_get_rank(rank, icontxt, id)
-This function returns a wall clock timer. The resolution of the timer -is dependent on the underlying parallel environment implementation. +This subroutine returns the MPI rank of the PSBLAS process
- Type:
- Asynchronous. -
- On Exit +
- On Entry
- -
- Function value -
- the elapsed time in seconds. +
- icontxt +
- the communication context identifying the virtual
+ parallel machine.
-Returned as: areal(psb_dpk_)variable. +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. +
+
+
-
+
- On Return +
- +
- rank +
- The MPI rank associated with the PSBLAS process .
+
+Scope: local. +
+Type: required. +
+Intent: out. +
diff --git a/docs/html/node102.html b/docs/html/node102.html index 18b9efbd..51e8374f 100644 --- a/docs/html/node102.html +++ b/docs/html/node102.html @@ -1,87 +1,79 @@ -
-psb_barrier -- Sinchronization point parallel environment - +psb_wtime -- Wall clock timing + - + - + -
-
+
-
-
- Next: psb_abort Abort - Up: Parallel environment routines - Previous: psb_wtime Wall - Next: psb_barrier Sinchronization + Up: Parallel environment routines + Previous: psb_get_rank Get + Contents
--psb_barrier -- Sinchronization point parallel - environment +
+psb_wtime -- Wall clock timing
-call psb_barrier(icontxt) +time = psb_wtime()
-This subroutine acts as an explicit synchronization point for the PSBLAS -parallel virtual machine. +This function returns a wall clock timer. The resolution of the timer +is dependent on the underlying parallel environment implementation.
- Type: -
- Synchronous.
+
- Asynchronous.
- - On Entry +
- On Exit
- -
- icontxt -
- the communication context identifying the virtual - parallel machine. +
- Function value +
- the elapsed time in seconds.
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. +Returned as: areal(psb_dpk_)variable.
psb_abort -- Abort a computation - +psb_barrier -- Sinchronization point parallel environment + - + - + -
-
+
-
-
- Next: psb_bcast Broadcast - Up: Parallel environment routines - Previous: psb_barrier Sinchronization - Next: psb_abort Abort + Up: Parallel environment routines + Previous: psb_wtime Wall + Contents
--psb_abort -- Abort a computation +
+psb_barrier -- Sinchronization point parallel + environment
-call psb_abort(icontxt) +call psb_barrier(icontxt)
-This subroutine aborts computation on the parallel virtual machine. +This subroutine acts as an explicit synchronization point for the PSBLAS +parallel virtual machine.
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
-
diff --git a/docs/html/node104.html b/docs/html/node104.html
index 81d9760f..92d7001b 100644
--- a/docs/html/node104.html
+++ b/docs/html/node104.html
@@ -1,71 +1,70 @@
-
-
psb_bcast -- Broadcast data - +psb_abort -- Abort a computation + - + - + -
-
+
-
-
- Next: psb_sum Global - Up: Parallel environment routines - Previous: psb_abort Abort - Next: psb_bcast Broadcast + Up: Parallel environment routines + Previous: psb_barrier Sinchronization + Contents
--psb_bcast -- Broadcast data +
+psb_abort -- Abort a computation
-call psb_bcast(icontxt, dat, root) +call psb_abort(icontxt)
-This subroutine implements a broadcast operation based on the -underlying communication library. +This subroutine aborts computation on the parallel virtual machine.
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
-
@@ -82,81 +81,10 @@ 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 -
, 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. -
-
-
- - -
-
-
-
-
-
-
-
- Next: psb_sum Global - Up: Parallel environment routines - Previous: psb_abort Abort - Contents - +
diff --git a/docs/html/node105.html b/docs/html/node105.html index 630cbe99..219bd96e 100644 --- a/docs/html/node105.html +++ b/docs/html/node105.html @@ -1,67 +1,67 @@ - -psb_sum -- Global sum - +psb_bcast -- Broadcast data + - + - + -
-
+
-
-
- Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast - Next: psb_sum Global + Up: Parallel environment routines + Previous: psb_abort Abort + Contents
--psb_sum -- Global sum +
+psb_bcast -- Broadcast data
-call psb_sum(icontxt, dat, root) +call psb_bcast(icontxt, dat, root)
-This subroutine implements a sum reduction operation based on the +This subroutine implements a broadcast operation based on the underlying communication library.
- Type: @@ -83,7 +83,7 @@ Intent: in. Specified as: an integer variable.
- dat -
- The local contribution to the global sum.
+
- On the root process, the data to be broadcast.
Scope: global.
@@ -92,14 +92,11 @@ 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. +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. - On the root process, the data to be broadcast.
- root -
- Process to hold the final sum, or
to make it available
- on all processes.
+- Root process holding data to be broadcast.
+ WIDTH="153" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img131.png" + ALT="$0<= root <= np-1$">, default 0
Scope: global.
@@ -108,12 +105,12 @@ Type: optional. Intent: in.
Specified as: an integer value
, default -1. - Root process holding data to be broadcast.
@@ -122,7 +119,7 @@ Specified as: an integer value -
-
-
+
-
-
- Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast - Next: psb_sum Global + Up: Parallel environment routines + Previous: psb_abort Abort + Contents diff --git a/docs/html/node106.html b/docs/html/node106.html index 78d4fb95..9964f0a5 100644 --- a/docs/html/node106.html +++ b/docs/html/node106.html @@ -1,68 +1,68 @@ -psb_max -- Global maximum - +psb_sum -- Global sum + - + - + -
-
+
-
-
- Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global - Next: psb_max Global + Up: Parallel environment routines + Previous: psb_bcast Broadcast + Contents
--psb_max -- Global maximum +
+psb_sum -- Global sum
-call psb_max(icontxt, dat, root) +call psb_sum(icontxt, dat, root)
-This subroutine implements a maximum valuereduction -operation based on the underlying communication library. +This subroutine implements a sum reduction operation based on the +underlying communication library.
- Type:
- Synchronous. @@ -83,19 +83,19 @@ Intent: in. Specified as: an integer variable.
- dat -
- The local contribution to the global maximum.
+
- The local contribution to the global sum.
-Scope: local. +Scope: global.
Type: required.
Intent: inout.
-Specified as: an integer or real variable, which may be a +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. - The local contribution to the global sum.
- root -
- Process to hold the final maximum, or
Process to hold the final sum, or
to make it available
@@ -113,8 +113,7 @@ Specified as: an integer value
-
-
+
-
-
- Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global - Next: psb_max Global + Up: Parallel environment routines + Previous: psb_bcast Broadcast + Contents diff --git a/docs/html/node107.html b/docs/html/node107.html index 0327b3f5..2457d63b 100644 --- a/docs/html/node107.html +++ b/docs/html/node107.html @@ -1,67 +1,67 @@ - -psb_min -- Global minimum - +psb_max -- Global maximum + - + - + -
-
+
-
-
- Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global - Next: psb_min Global + Up: Parallel environment routines + Previous: psb_sum Global + Contents
--psb_min -- Global minimum +
+psb_max -- Global maximum
-call psb_min(icontxt, dat, root) +call psb_max(icontxt, dat, root)
-This subroutine implements a minimum value reduction +This subroutine implements a maximum valuereduction operation based on the underlying communication library.
- Type: @@ -83,7 +83,7 @@ Intent: in. Specified as: an integer variable.
- dat -
- The local contribution to the global minimum.
+
- The local contribution to the global maximum.
Scope: local.
@@ -91,11 +91,11 @@ Type: required.
Intent: inout.
-Specified as: an integer or real variable, which may be a +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. - The local contribution to the global maximum.
- root -
- Process to hold the final value, or
Process to hold the final maximum, or
to make it available
@@ -123,18 +123,16 @@ Specified as: an integer value
-
-
+
-
-
- Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global - Next: psb_min Global + Up: Parallel environment routines + Previous: psb_sum Global + Contents diff --git a/docs/html/node108.html b/docs/html/node108.html index 1b08e3f1..92c0882b 100644 --- a/docs/html/node108.html +++ b/docs/html/node108.html @@ -1,67 +1,67 @@ - -psb_amx -- Global maximum absolute value - +psb_min -- Global minimum + - + - + -
-
+
-
-
- Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global - Next: psb_amx Global + Up: Parallel environment routines + Previous: psb_max Global + Contents
--psb_amx -- Global maximum absolute value +
+psb_min -- Global minimum
-call psb_amx(icontxt, dat, root) +call psb_min(icontxt, dat, root)
-This subroutine implements a maximum absolute value reduction +This subroutine implements a minimum value reduction operation based on the underlying communication library.
- Type: @@ -83,7 +83,7 @@ Intent: in. Specified as: an integer variable.
- dat -
- The local contribution to the global maximum.
+
- The local contribution to the global minimum.
Scope: local.
@@ -91,7 +91,7 @@ Type: required.
Intent: inout.
-Specified as: an integer, real or complex variable, which may be a +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. - The local contribution to the global minimum.
- root @@ -123,7 +123,7 @@ Specified as: an integer value -
- Type: @@ -83,7 +83,7 @@ Intent: in. Specified as: an integer variable.
- dat -
- The local contribution to the global minimum.
+
- The local contribution to the global maximum.
Scope: local.
@@ -123,7 +123,7 @@ Specified as: an integer value -
-
+
-
-
- Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amx Global - Next: psb_amn Global + Up: Parallel environment routines + Previous: psb_min Global + Contents diff --git a/docs/html/node11.html b/docs/html/node11.html index bf128cdd..9db34b4b 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -1,6 +1,6 @@ - -
-
-
-
- Next: Next: get_local_rows Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor data structure - Contents
diff --git a/docs/html/node110.html b/docs/html/node110.html index 151633bb..20915ff5 100644 --- a/docs/html/node110.html +++ b/docs/html/node110.html @@ -1,70 +1,71 @@ - -psb_snd -- Send data - +psb_amn -- Global minimum absolute value + - + - + -
-
+
-
-
- Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_amn Global - Next: psb_snd Send + Up: Parallel environment routines + Previous: psb_amx Global + Contents
--psb_snd -- Send data +
+psb_amn -- Global minimum absolute value
-call psb_snd(icontxt, dat, dst, m) +call psb_amn(icontxt, dat, root)
-This subroutine sends a packet of data to a destination. +This subroutine implements a minimum absolute value reduction +operation based on the underlying communication library.
- Type: -
- Synchronous: see usage notes.
+
- Synchronous.
- On Entry
- @@ -82,65 +83,38 @@ Intent: in. Specified as: an integer variable.
- dat -
- The data to be sent.
+
- The local contribution to the global minimum.
-
Scope: local.
Type: required.
-Intent: in. +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
is
-not specified, size must agree as well.
+scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
- The local contribution to the global minimum.
- dst -
- Destination process. +
- root +
- Process to hold the final value, or to make it available
+ on all processes.
Scope: global.
-Type: required. +Type: optional.
Intent: in.
Specified as: an integer value
.
+ WIDTH="165" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img132.png"
+ ALT="$-1<= root <= np-1$">, default -1.
- - m -
- Number of rows.
-
-Scope: global. -
-Type: Optional. -
-Intent: in. -
-Specified as: an integer value -
.
-
-When
is a rank 2 array, specifies the number of rows to be sent
-independently of the leading dimension 
; must have the
-same value on sending and receiving processes.
-
@@ -148,43 +122,57 @@ same value on sending and receiving processes.
- The local contribution to the global maximum.
- 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. + - This subroutine implies a synchronization, but only between the
- calling process and the destination process
.
+ - The
datargument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
+ - The
datargument may also be a long integer scalar. - Type: -
- Synchronous: see usage notes.
+
- Synchronous: see usage notes.
- On Entry
-
@@ -80,8 +81,24 @@ Intent: in.
Specified as: an integer variable.
- - src -
- Source process. +
- 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 is
+not specified, size must agree as well.
+
+ - dst +
- Destination process.
Scope: global.
@@ -90,12 +107,12 @@ Type: required. Intent: in.
Specified as: an integer value
.
+ WIDTH="145" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img134.png"
+ ALT="$0<= dst <= np-1$">.
- m
- Number of rows.
@@ -115,7 +132,7 @@ Specified as: an integer value
-
-
+
-
-
- Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send - Next: psb_rcv Receive + Up: Parallel environment routines + Previous: psb_amn Global + Contents diff --git a/docs/html/node112.html b/docs/html/node112.html index a738fe90..4b2b1fc9 100644 --- a/docs/html/node112.html +++ b/docs/html/node112.html @@ -1,342 +1,189 @@ - -Error handling - +psb_rcv -- Receive data + - + - - - + + -
-
+
-
-
- Next: Utilities - Up: userhtml - Previous: psb_rcv Receive - Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send + 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
infovariable; 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 theinfovariable 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 -infovariable 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\_errorroutine which prints the content of the error stack -and aborts the program execution, according to the choice made by the -user withpsb_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. --
- -- -
-+psb_rcv -- Receive data +
-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_cestsubroutine -called bypsb_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 --
- -- -
--ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error - stack - -
-
-
-
++call psb_rcv(icontxt, dat, src, m) +
+This subroutine receives a packet of data to a destination.
- Type: -
- Asynchronous.
+
- Synchronous: see usage notes.
- - On Entry +
- On Entry
- -
- err_c -
- the error code +
- icontxt +
- the communication context identifying the virtual
+ parallel machine.
-Scope: local +Scope: global.
-Type: required +Type: required.
Intent: in.
-Specified as: an integer. +Specified as: an integer variable.
- - r_name -
- the soutine where the error has been caught. +
- src +
- Source process.
-Scope: local +Scope: global.
-Type: required +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 - -
-
+Specified as: an integer value
-
- --
-
-
- Type: -
- Asynchronous. - -
- On Entry -
- - -
- icontxt -
- the communication context.
+ WIDTH="147" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img139.png"
+ ALT="$0<= src <= np-1$">.
+
- m +
- Number of rows.
-Scope: global +Scope: global.
-Type: optional +Type: Optional.
Intent: in.
-Specified as: an integer. +Specified as: an integer value +.
+
+When is a rank 2 array, specifies the number of rows to be sent
+independently of the leading dimension ; must have the
+same value on sending and receiving processes.
-ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error - messages. - -
-
-
-
--
-
- Type: -
- Asynchronous. - -
- On Entry +
- On Return
- -
- v -
- the verbosity level +
- dat +
- The data to be received.
-Scope: global +Scope: local.
-Type: required +Type: required.
-Intent: in. +Intent: inout.
-Specified as: an integer. +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 is
+not specified, size must agree as well.
-ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be - taken upon error condition. - -
-
-
-
+Notes --
-
-
- 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. -
-
-
+
- This subroutine implies a synchronization, but only between the
+ calling process and the source process
.
+
+
-
-
+
-
-
- Next: Utilities - Up: userhtml - Previous: psb_rcv Receive - Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send + Contents diff --git a/docs/html/node113.html b/docs/html/node113.html index 5d97b674..db176128 100644 --- a/docs/html/node113.html +++ b/docs/html/node113.html @@ -1,94 +1,344 @@ - -Utilities - +Error handling + - + - - + + -
-
-
-
- Next: hb_read Read - Up: Next: Utilities + Up: userhtml - Previous: Error handling - Previous: psb_rcv Receive + Contents
-- -
-Utilities ++Error handling
-We have some utitlities available for input and output of -sparsematrices; the interfaces to these routines are available in the -module
psb_util_mod. - --
- -Subsections - --
-
- hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format -
- hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format -
- mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format -
- mm_array_read -- Read a dense array from a - file in the MatrixMarket format -
- mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format -
- mm_array_write -- Write a dense array from a - file in the MatrixMarket format -
+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 integerinfovariable; 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 theinfovariable 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 +infovariable 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\_errorroutine which prints the content of the error stack +and aborts the program execution, according to the choice made by the +user withpsb_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. ++
+ ++ +
++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_cestsubroutine +called bypsb_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 ++
+ ++ +
++ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error + stack + +
+
+
+
+ ++
-
+
- 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 + +
+
+
+
+ ++
-
+
- 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. + +
+
+
+
+ ++
-
+
- 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. + +
+
+
+
+ ++
-
+
- 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: Utilities + Up: userhtml + Previous: psb_rcv Receive + Contents + diff --git a/docs/html/node114.html b/docs/html/node114.html index 9ab08186..fe0a36b8 100644 --- a/docs/html/node114.html +++ b/docs/html/node114.html @@ -1,161 +1,94 @@ - -hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format - +Utilities + - + - + - + -
-
+
-
-
- Next: hb_write Write - Up: Utilities - Previous: Utilities - Next: hb_read Read + Up: userhtml + Previous: Error handling + Contents
-- hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format -
- --
-
++
+Utilities +-
-
-
- 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-. -
-
psb_util_mod.-
-
-
- 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. -
-
+ +Subsections --
- - -
-
-
-
-
-
-
-
- Next: hb_write Write - Up: Utilities - Previous: Utilities - Contents - +-
+
- hb_read -- Read a sparse matrix from a file in the + Harwell-Boeing format +
- hb_write -- Write a sparse matrix to a file + in the Harwell-Boeing format +
- mm_mat_read -- Read a sparse matrix from a + file in the MatrixMarket format +
- mm_array_read -- Read a dense array from a + file in the MatrixMarket format +
- mm_mat_write -- Write a sparse matrix to a + file in the MatrixMarket format +
- mm_array_write -- Write a dense array from a + file in the MatrixMarket format +
diff --git a/docs/html/node115.html b/docs/html/node115.html index d758e086..acef0919 100644 --- a/docs/html/node115.html +++ b/docs/html/node115.html @@ -1,68 +1,68 @@ - -hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format - +hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format + - + - + -
-
+
-
-
- Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read - Next: hb_write Write + Up: Utilities + Previous: Utilities + Contents
--hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format +
+ hb_read -- Read a sparse matrix from a file in the + Harwell-Boeing format
@@ -74,29 +74,13 @@ call hb_write(a, iret, iunit, filename, key, rhs, mtitle) - 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.
+
- 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 output unit 6 (i.e. standard output +-, in which case the default input unit 5 (i.e. standard input in Unix jargon) is used. Default:-. - The name of the file to be read.
- iunit @@ -106,30 +90,37 @@ Type:optional.
- key -
- Matrix key. +
- 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
-A charachter variable of length 8 holding the -matrix key as specified by the Harwell-Boeing format and to be -written to file. +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 the -matrix title as specified by the Harwell-Boeing format and to be -written to file. -
- - On Return -
- +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.
@@ -143,26 +134,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read - Next: hb_write Write + Up: Utilities + Previous: Utilities + Contents diff --git a/docs/html/node116.html b/docs/html/node116.html index 455b52b1..aca0bf66 100644 --- a/docs/html/node116.html +++ b/docs/html/node116.html @@ -1,68 +1,68 @@ - -mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format - +hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format + - + - + -
-
+
-
-
- Next: mm_array_read Read - Up: Utilities - Previous: hb_write Write - Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read + Contents
--mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format +
+hb_write -- Write a sparse matrix to a file + in the Harwell-Boeing format
@@ -74,13 +74,29 @@ call mm_mat_read(a, iret, iunit, filename) - 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 read.
+
- 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 input unit 5 (i.e. standard input +-, in which case the default output unit 6 (i.e. standard output in Unix jargon) is used. Default:-. - The name of the file to be written to.
- iunit @@ -90,6 +106,24 @@ Type:optional.
- 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. + - -
- a -
- the sparse matrix read from file.
-
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. - - iret
- Error code.
@@ -114,7 +141,30 @@ An integer value; 0 means no error has been detected.
-
+
-
-
- Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global - Next: psb_amx Global + Up: Parallel environment routines + Previous: psb_max Global + Contents diff --git a/docs/html/node109.html b/docs/html/node109.html index 95308a2d..9ed57324 100644 --- a/docs/html/node109.html +++ b/docs/html/node109.html @@ -1,67 +1,67 @@ - -psb_amn -- Global minimum absolute value - +psb_amx -- Global maximum absolute value + - + - + -
-
+
-
-
- Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amx Global - Next: psb_amn Global + Up: Parallel environment routines + Previous: psb_min Global + Contents
--psb_amn -- Global minimum absolute value +
+psb_amx -- Global maximum absolute value
-call psb_amn(icontxt, dat, root) +call psb_amx(icontxt, dat, root)
-This subroutine implements a minimum absolute value reduction +This subroutine implements a maximum absolute value reduction operation based on the underlying communication library.
Notes
-
-
-
-
+
-
-
- Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_amn Global - Next: psb_snd Send + Up: Parallel environment routines + Previous: psb_amx Global + Contents diff --git a/docs/html/node111.html b/docs/html/node111.html index 3f54df29..3fa5a113 100644 --- a/docs/html/node111.html +++ b/docs/html/node111.html @@ -1,69 +1,70 @@ - -psb_rcv -- Receive data - +psb_snd -- Send data + - + + - + -
-
+
-
-
- Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send - Next: psb_rcv Receive + Up: Parallel environment routines + Previous: psb_amn Global + Contents
--psb_rcv -- Receive data +
+psb_snd -- Send data
-call psb_rcv(icontxt, dat, src, m) +call psb_snd(icontxt, dat, dst, m)
-This subroutine receives a packet of data to a destination. +This subroutine sends a packet of data to a destination.
Specified as: an integer value. Only meaningful if filename is not-. -+
-
+
-
-
-
Specified as: an integer value. Only meaningful if filename is not-. +@@ -97,13 +131,6 @@ Specified as: an integer value. Only meaningful if filename is not
-On Return-
+
+ + +
+
+
+
+
+
+
+
+ Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read + Contents + diff --git a/docs/html/node117.html b/docs/html/node117.html index 187170c3..03c5c72f 100644 --- a/docs/html/node117.html +++ b/docs/html/node117.html @@ -1,68 +1,68 @@ - -mm_array_read -- Read a dense array from a file in the MatrixMarket format - +mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format + - + - + -
-
+
-
-
- Next: mm_mat_write Write - Up: Utilities - Previous: mm_mat_read Read - Next: mm_array_read Read + Up: Utilities + Previous: hb_write Write + Contents
--mm_array_read -- Read a dense array from a +
+mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format
@@ -97,14 +97,12 @@ Specified as: an integer value. Only meaningful if filename is not-On Return- b
-- Rigth hand side(s). +
- a
+- the sparse matrix read from file.
-Type: required +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. +Specified as: a structured data of type spdatapsb_Tspmat_type.- iret
- Error code. diff --git a/docs/html/node118.html b/docs/html/node118.html index 8181c601..82f38bc6 100644 --- a/docs/html/node118.html +++ b/docs/html/node118.html @@ -1,70 +1,72 @@ - -
mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format - +mm_array_read -- Read a dense array from a file in the MatrixMarket format + - + - + -
-
+
-
-
- Next: mm_array_write Write - Up: Utilities - Previous: mm_array_read Read - Next: mm_mat_write Write + Up: Utilities + Previous: mm_mat_read Read + Contents
--mm_mat_write -- Write a sparse matrix to a +
+mm_array_read -- Read a dense array from a file in the MatrixMarket format
+ +- Type:
- Asynchronous. @@ -72,28 +74,13 @@ call mm_mat_write(a, mtitle, iret, iunit, filename)
- 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.
+
- 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 output unit 6 (i.e. standard output +-, in which case the default input unit 5 (i.e. standard input in Unix jargon) is used. Default:-. - The name of the file to be read.
- iunit @@ -110,6 +97,15 @@ Specified as: an integer value. Only meaningful if filename is not
- +
- 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.
diff --git a/docs/html/node119.html b/docs/html/node119.html index 576e6b51..bd29e59f 100644 --- a/docs/html/node119.html +++ b/docs/html/node119.html @@ -1,71 +1,70 @@ - -mm_array_write -- Write a dense array from a file in the MatrixMarket format - +mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format + - + + - + -
-
+
-
-
- Next: Preconditioner routines - Up: Utilities - Previous: mm_mat_write Write - Next: mm_array_write Write + Up: Utilities + Previous: mm_array_read Read + Contents
--mm_array_write -- Write a dense array from a +
+mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format
- -- Type:
- Asynchronous. @@ -73,19 +72,28 @@ call mm_array_write(b, iret, iunit, filename)
- On Entry
- -
- b -
- Rigth hand side(s). +
- a +
- the sparse matrix to be written.
+
+Type:required. +
+Specified as: a structured data of type spdatapsb_Tspmat_type. +
+ - mtitle +
- Matrix title.
Type: required
-An array of type real or complex, rank 1 or 2; will be written..
+A charachter variable holding a descriptive title for the matrix to be
+ written to file.
+
- filename -
- The name of the file to be written.
+
- 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 input unit 5 (i.e. standard input +-, in which case the default output unit 6 (i.e. standard output in Unix jargon) is used. Default:-. - The name of the file to be written to.
- iunit diff --git a/docs/html/node12.html b/docs/html/node12.html index 379f4718..20c24d1a 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -1,6 +1,6 @@ - -
- Diagonal Scaling - -
- Block Jacobi with ILU(0) factorization - -
- 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. +
+ - psb_precinit -- Initialize a preconditioner -
- psb_precbld -- Builds a preconditioner -
- psb_precaply -- Preconditioner application - routine -
- psb_precdescr -- Prints a description of current - preconditioner -
- clone -- clone current - preconditioner -
- Type: -
- Asynchronous. - -
- On Entry -
- - -
- 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. -
- - 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
;
-
- - BJAC -
- Precondition by a factorization of the
- block-diagonal of matrix , where block boundaries are determined
- by the data allocation boundaries for each process; requires no
- communication. Only the incomplete factorization
is
- currently implemented.
-
- - Diagonal Scaling + +
- Block Jacobi with ILU(0) factorization + +
- psb_precinit -- Initialize a preconditioner +
- psb_precbld -- Builds a preconditioner +
- psb_precaply -- Preconditioner application + routine +
- psb_precdescr -- Prints a description of current + preconditioner +
- clone -- clone current + preconditioner +
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
- -
- a -
- the system sparse matrix. -Scope: local +
- ptype +
- the type of preconditioner.
+Scope: global
Type: required
-Intent: in, target. +Intent: in.
-Specified as: a sparse matrix data structure spdatapsb_Tspmat_type. +Specified as: a character string, see usage notes. +
+ - On Exit +
- prec -
- the preconditioner.
-
-Scope: local +- Scope: local
-
Type: required
Intent: inout.
-Specified as: an already initialized precondtioner data structure precdatapsb_prec_type - - Scope: local
- desc_a -
- the problem communication descriptor.
-Scope: local
-
-Type: required -
-Intent: in, target. -
-Specified as: a communication descriptor data structure descdatapsb_desc_type. +Specified as: a preconditioner data structure precdatapsb_prec_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. + - info +
- Scope: global
-Type: optional. +Type: required
-Intent: in. +Intent: out.
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. - -+Error code: if no error, 0 is returned.
- On Return -
- +
- NONE +
- No preconditioning, i.e. the preconditioner is just a copy + operator. -
- 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. + - 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 ;
+
+
- BJAC +
- Precondition by a factorization of the
+ block-diagonal of matrix , where block boundaries are determined
+ by the data allocation boundaries for each process; requires no
+ communication. Only the incomplete factorization is
+ currently implemented.
- On Entry
- -
- prec -
- the preconditioner. +
- a +
- the system sparse matrix.
Scope: local
Type: required
-Intent: in. +Intent: in, target.
-Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: a sparse matrix data structure spdatapsb_Tspmat_type.
- - x -
- the source vector. +
- prec +
- the preconditioner.
+
Scope: local
Type: required
Intent: inout.
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
+Specified as: an already initialized precondtioner data structure precdatapsb_prec_type
+
-On Return
-
-
-
- Next: Next: get_local_cols Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor Methods - Contents
diff --git a/docs/html/node120.html b/docs/html/node120.html index dd238734..b54181b4 100644 --- a/docs/html/node120.html +++ b/docs/html/node120.html @@ -1,96 +1,117 @@ - -Preconditioner routines - +mm_array_write -- Write a dense array from a file in the MatrixMarket format + - + - - - + + -
-
+
-
-
- Next: psb_precinit Initialize - Up: userhtml - Previous: mm_array_write Write - Next: Preconditioner routines + Up: Utilities + Previous: mm_mat_write Write + Contents
-- -
+
-Preconditioner routines -+mm_array_write -- Write a dense array from a + file in the MatrixMarket format +
-The base PSBLAS library contains the implementation of two simple -preconditioning techniques: +
+
+
--
-
psb_prec_mod. ++
-
+
-
- -Subsections +-
+
-
-
diff --git a/docs/html/node121.html b/docs/html/node121.html index ba843227..c297cd4c 100644 --- a/docs/html/node121.html +++ b/docs/html/node121.html @@ -1,142 +1,97 @@ - -psb_precinit -- Initialize a preconditioner - +Preconditioner routines + - + - - - + + + -
-
+
-
-
- Next: psb_precbld Builds - Up: Preconditioner routines - Previous: Preconditioner routines - Next: psb_precinit Initialize + Up: userhtml + Previous: mm_array_write Write + Contents
--psb_precinit -- Initialize a preconditioner -
++ +
+Preconditioner routines +-
-call psb_precinit(prec, ptype, info) -
+The base PSBLAS library contains the implementation of two simple +preconditioning techniques: --
-
-
string as follows3:
--
-
-
+
psb_prec_mod.
+ +Subsections + +-
+
diff --git a/docs/html/node122.html b/docs/html/node122.html index 0a139a77..641207cd 100644 --- a/docs/html/node122.html +++ b/docs/html/node122.html @@ -1,156 +1,136 @@ - -psb_precbld -- Builds a preconditioner - +psb_precinit -- Initialize a preconditioner + - + - + -
-
+
-
-
- Next: psb_precaply Preconditioner - Up: Preconditioner routines - Previous: psb_precinit Initialize - Next: psb_precbld Builds + Up: Preconditioner routines + Previous: Preconditioner routines + Contents
--psb_precbld -- Builds a preconditioner +
+psb_precinit -- Initialize a preconditioner
-call psb_precbld(a, desc_a, prec, info,amold,vmold) +call psb_precinit(prec, ptype, info)
+NotesLegal inputs to this subroutine are interpreted depending on the +
string as follows3:
-
-
psb_precaply -- Preconditioner application routine - +psb_precbld -- Builds a preconditioner + - + - + -
-
+
-
-
- Next: psb_precdescr Prints - Up: Preconditioner routines - Previous: psb_precbld Builds - Next: psb_precaply Preconditioner + Up: Preconditioner routines + Previous: psb_precinit Initialize + Contents
--psb_precaply -- Preconditioner application - routine +
+psb_precbld -- Builds a preconditioner
-call psb_precaply(prec,x,y,desc_a,info,trans,work) -call psb_precaply(prec,x,desc_a,info,trans) +call psb_precbld(a, desc_a, prec, info,amold,vmold)
@@ -70,54 +68,60 @@ call psb_precaply(prec,x,desc_a,info,trans)
- desc_a
-- the problem communication descriptor. +
- the problem communication descriptor. Scope: local
-
Type: required
-Intent: in. +Intent: in, target.
-Specified as: a communication data structure descdatapsb_desc_type. +Specified as: a communication descriptor data structure descdatapsb_desc_type.- trans
-- Scope: +
- amold
+- The desired dynamic type for the internal matrix storage.
-
-Type: optional +Scope: local. +
+Type: optional.
Intent: in.
-Specified as: a character. +Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat.- work
-- an optional work space -Scope: local +
- vmold
+- The desired dynamic type for the internal vector storage.
@@ -126,16 +130,17 @@ Specified as: a double precision array.
-Type: optional +Scope: local.
-Intent: inout. +Type: optional. +
+Intent: in.
-Specified as: a double precision array. +Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. + +- On Return
- y
-- the destination vector. +
- prec
+- the preconditioner. +
+Specified as: a precondtioner data structure precdatapsb_prec_type +
Scope: local
Type: required
Intent: inout.
-Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
- info
- Error code.
diff --git a/docs/html/node124.html b/docs/html/node124.html index 0be908ea..0c28d446 100644 --- a/docs/html/node124.html +++ b/docs/html/node124.html @@ -1,71 +1,71 @@ - -psb_precdescr -- Prints a description of current preconditioner - +psb_precaply -- Preconditioner application routine + - + - + -
-
+
-
-
- Next: clone clone - Up: Preconditioner routines - Previous: psb_precaply Preconditioner - Next: psb_precdescr Prints + Up: Preconditioner routines + Previous: psb_precbld Builds + Contents
--psb_precdescr -- Prints a description of current - preconditioner +
+psb_precaply -- Preconditioner application + routine
-call psb_precdescr(prec) -call psb_precdescr(prec, iout) +call psb_precaply(prec,x,y,desc_a,info,trans,work) +call psb_precaply(prec,x,desc_a,info,trans)
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
-
@@ -80,15 +80,72 @@ Intent: in.
Specified as: a preconditioner data structure precdatapsb_prec_type.
- - iout -
- output unit. +
- x +
- the source vector.
Scope: local
-Type: optiona +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: an integer number. +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.
clone -- clone current preconditioner - +psb_precdescr -- Prints a description of current preconditioner + - + + - + -
-
+
-
-
- Next: Iterative Methods - Up: Preconditioner routines - Previous: psb_precdescr Prints - Next: clone clone + Up: Preconditioner routines + Previous: psb_precaply Preconditioner + Contents
--clone -- clone current +
+psb_precdescr -- Prints a description of current preconditioner
+-call prec%clone(precout,info) +call psb_precdescr(prec) +call psb_precdescr(prec, iout)
@@ -69,21 +72,23 @@ call prec%clone(precout,info)
- prec
- the preconditioner. +Scope: local
- - -
-Scope: local. --
-
-
- On Return -
- - -
- precout -
- A copy of the input object.
+Type: required
+
+Intent: in. +
+Specified as: a preconditioner data structure precdatapsb_prec_type.
- - info -
- Return code. +
- iout +
- output unit.
+Scope: local
+
+Type: optiona +
+Intent: in. +
+Specified as: an integer number.
Iterative Methods - +clone -- clone current preconditioner + - + - - - + + -
-
+
-
-
- Next: psb_krylov Krylov - Up: userhtml - Previous: clone clone - Next: Iterative Methods + Up: Preconditioner routines + Previous: psb_precdescr Prints + Contents
-- -
+
-Iterative Methods -+clone -- clone current + preconditioner +
+ ++call prec%clone(precout,info) +
-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. +-
+
- Type: +
- Asynchronous. + +
- On Entry +
- + +
- prec +
- the preconditioner.
+
+Scope: local. +
+
-
- -Subsections +-
+
- On Return +
- + +
- precout +
- A copy of the input object. + +
- info +
- Return code. + +
diff --git a/docs/html/node127.html b/docs/html/node127.html index 8484ef40..d9895aeb 100644 --- a/docs/html/node127.html +++ b/docs/html/node127.html @@ -1,394 +1,79 @@ - -psb_krylov -- Krylov Methods Driver Routine - +Iterative Methods + - + - - + + + -
-
+
-
-
- Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods - Next: psb_krylov Krylov + Up: userhtml + Previous: clone clone + 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 is the normwise backward error, in the infinity -norm, i.e. the iteration is stopped when -
-- - --
-
- -or the 2-norm residual reduction -
-- - --
-
- -according to the value passed through the istop argument (see -later). In the above formulae,
is the tentative solution and
-
the corresponding residual at the 
-th iteration.
-
--
-
-
- --
-
-
- 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;
-
-
-
- - 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
-.
-
-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:
.
-
-Specified as: an integer variable
.
-
- - itrace -
- If
print out an informational message about
- convergence every 
iterations.
-
-Scope: global -
-Type: optional -
-Intent: in. -
- - irst -
- An integer specifying the restart parameter.
-
-Scope: global -
-Type: optional. -
-Intent: in. -
-Values:
. 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. 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 ; only
- available with the
method.
++
-Scope: global -
-Type: optional -
-Intent: out. -
-Returned as: a real number. -
- - info -
- Error code.
-
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
-
+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.- -
-
- - -
-
-
-
-
-
-
-
- Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods - Contents - +
+ +Subsections + + + +
diff --git a/docs/html/node128.html b/docs/html/node128.html index 7cd5f15e..72ccc9cd 100644 --- a/docs/html/node128.html +++ b/docs/html/node128.html @@ -1,183 +1,396 @@ - -Bibliography - +psb_krylov -- Krylov Methods Driver Routine + - + - - - + + -
-
+
-
-
- Next: About this document ... - Up: userhtml - Previous: psb_krylov Krylov - Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods + 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
+
+
+
+psb_krylov -- Krylov Methods Driver + Routine +-
- 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. +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 is the normwise backward error, in the infinity +norm, i.e. the iteration is stopped when +
++ + ++
+
+ +or the 2-norm residual reduction +
++ + ++
+
+ +according to the value passed through the istop argument (see +later). In the above formulae, is the tentative solution and
+ the corresponding residual at the -th iteration.
-
- 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 +
- Type: +
- Synchronous. + +
- On Entry
- -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. + +
- 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;
-
- 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) + +
- 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
+.
+
+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:.
+
+Specified as: an integer variable.
+
+ - itrace +
- If print out an informational message about
+ convergence every iterations.
+
+Scope: global +
+Type: optional +
+Intent: in. +
+ - irst +
- An integer specifying the restart parameter.
+
+Scope: global +
+Type: optional. +
+Intent: in. +
+Values:. This is employed for the BiCGSTABL or RGMRES
+methods, otherwise it is ignored.
-
- 19
+
+
- 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. Default: 2. +
+ - On Return
- -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. + +
- 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 ; only
+ available with the 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. + - psb_none_
- Generic no-op; +
- psb_root_ +
- Default root process for broadcast and scatter operations; +
- psb_nohalo_
- Do not fetch halo elements; diff --git a/docs/html/node22.html b/docs/html/node22.html index 8a1a62da..6db8ce22 100644 --- a/docs/html/node22.html +++ b/docs/html/node22.html @@ -1,6 +1,6 @@ - -
- Sparse Matrix Methods -
- get_nrows -- Get number of rows in a sparse matrix -
- get_ncols -- Get number of columns in a sparse matrix -
- get_nnzeros -- Get number of nonzero elements in a sparse matrix -
- get_size -- Get maximum number of nonzero elements in a sparse matrix -
- sizeof -- Get memory occupation in bytes of a sparse matrix -
- get_fmt -- Short description of the dynamic type -
- is_bld, is_upd, is_asb -- Status check -
- is_lower, is_upper, is_triangle, is_unit -- Format check -
- cscnv -- Convert to a different storage format -
- csclip -- Reduce to a submatrix -
- get_diag -- Get main diagonal -
- clip_diag -- Cut out main diagonal -
- tril -- Return the lower triangle -
- triu -- Return the upper triangle -
- psb_set_mat_default -- Set default storage format -
- clone -- Clone current object -
- Named Constants
- Vector Methods -
- get_nrows -- Get number of rows in a dense vector -
- sizeof -- Get memory occupation in bytes of a dense vector -
- get_vect -- Get a copy of the vector contents -
- clone -- Clone current object
- psb_T_heap +
- : a heap containing elements of type T, where T
+ can be
i,s,c,d,zfor integer, real and complex data; +
+ - psb_T_idx_heap +
- : a heap containing elements of type T, as + above, together with an integer index. + +
- 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. + +
- psb_geaxpby -- General Dense Matrix Sum -
- psb_gedot -- Dot Product -
- psb_gedots -- Generalized Dot Product -
- psb_normi -- Infinity-Norm of Vector -
- psb_geamaxs -- Generalized Infinity Norm -
- psb_norm1 -- 1-Norm of Vector -
- psb_geasums -- Generalized 1-Norm of Vector -
- psb_norm2 -- 2-Norm of Vector -
- psb_genrm2s -- Generalized 2-Norm of Vector -
- psb_norm1 -- 1-Norm of Sparse Matrix -
- psb_normi -- Infinity Norm of Sparse Matrix -
- psb_spmm -- Sparse Matrix by Dense Matrix - Product -
- psb_spsm -- Triangular System Solve -
- Type: -
- Synchronous. - -
- On Entry -
- - -
- alpha -
- the scalar
.
-
-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
-
.
-
-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 must be the same of 
.
-
- - beta -
- the scalar
.
-
-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
-.
-
-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 must be the same of .
-
- - 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 .
-
-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. -
- - psb_geaxpby -- General Dense Matrix Sum +
- psb_gedot -- Dot Product +
- psb_gedots -- Generalized Dot Product +
- psb_normi -- Infinity-Norm of Vector +
- psb_geamaxs -- Generalized Infinity Norm +
- psb_norm1 -- 1-Norm of Vector +
- psb_geasums -- Generalized 1-Norm of Vector +
- psb_norm2 -- 2-Norm of Vector +
- psb_genrm2s -- Generalized 2-Norm of Vector +
- psb_norm1 -- 1-Norm of Sparse Matrix +
- psb_normi -- Infinity Norm of Sparse Matrix +
- psb_spmm -- Sparse Matrix by Dense Matrix + Product +
- psb_spsm -- Triangular System Solve +
- On Entry
- +
- alpha +
- the scalar .
+
+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
.
@@ -175,18 +155,32 @@ 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 ofpsb_T_vect_type +containing numbers of type +specified in Table 1. The rank of
must be the same of .
+ - beta +
- the scalar .
+
+Scope: global +
+Type: required +
+Intent: in. +
+Specified as: a number of the data type indicated in Table 1. + - y -
- the local portion of global dense matrix
+
- the local portion of the global dense matrix
@@ -218,24 +211,29 @@ Type: required Intent: in.local
Type: required
-Intent: in. +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 2. The rank ofpsb_T_vect_type containing numbers of the type +indicated in Table 1. The rank of
must be the same of .
Specified as: an object of type descdatapsb_desc_type. -
+
+
+ - the local portion of the global dense matrix
- On Return
- -
- Function value -
- is the dot product of subvectors and
y +
- the local portion of result submatrix
.
-Scope: global +Scope: local
-Specified as: a number of the data type indicated in Table 2. +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 local portion of result submatrix
- info
- Error code.
@@ -253,26 +251,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_gedots Generalized - Up: Computational routines - Previous: psb_geaxpby General - Next: psb_gedot Dot + Up: Computational routines + Previous: Computational routines + Contents diff --git a/docs/html/node51.html b/docs/html/node51.html index 8892066f..2b5141c4 100644 --- a/docs/html/node51.html +++ b/docs/html/node51.html @@ -1,136 +1,150 @@ - -psb_gedots -- Generalized Dot Product - +psb_gedot -- Dot Product + - + - + -
-
+
-
-
- Next: psb_normi Infinity-Norm - Up: Computational routines - Previous: psb_gedot Dot - Next: psb_gedots Generalized + Up: Computational routines + Previous: psb_geaxpby General + Contents
--psb_gedots -- Generalized Dot Product +
+psb_gedot -- Dot Product
-This subroutine computes a series of dot products among the columns of -two dense matrices
and
+.
+
+If and :
+ ALT="$y$"> are real vectors
+it computes dot-product as:
+ WIDTH="74" HEIGHT="27" BORDER="0"
+ SRC="img24.png"
+ ALT="\begin{displaymath}dot \leftarrow x^T y\end{displaymath}">
-If the matrices are complex, then the -usual convention applies, i.e. the conjugate transpose of is
-used. If and are of rank one, then 
is a scalar, else it
-is a rank one array.
+ ALT="$y$"> are complex vectors then it computes dot-product as:
+
++ ++
+
+-call psb_gedots(res, x, y, desc_a, info) +psb_gedot(x, y, desc_a, info)
-+-
Table 3: + Table 2: Data types @@ -150,9 +164,9 @@ Data types
, , Subroutine +Function Short Precision Real -psb_gedots +psb_gedot Long Precision Real -psb_gedots +psb_gedot Short Precision Complex -psb_gedots +psb_gedot Long Precision Complex -psb_gedots +psb_gedot - x
- the local portion of global dense matrix
@@ -203,13 +217,14 @@ Type: required Intent: in..
+ ALT="$x$">.
Scope: local
@@ -162,8 +176,8 @@ 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 of2. The rank of
must be the same of 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 of2. The rank of
must be the same of .
Specified as: an object of type descdatapsb_desc_type. +- On Return
- res
+- Function value
- is the dot product of subvectors
and psb_desc_type.
Scope: global
-Intent: out. -
-Specified as: a number or a rank-one array of the data type indicated -in Table 2. +Specified as: a number of the data type indicated in Table 2.- info
- Error code. @@ -235,30 +247,29 @@ Intent: out. An integer value; 0 means no error has been detected.
-
-
-
+
-
-
- Next: psb_normi Infinity-Norm - Up: Computational routines - Previous: psb_gedot Dot - Next: psb_gedots Generalized + Up: Computational routines + Previous: psb_geaxpby General + Contents diff --git a/docs/html/node52.html b/docs/html/node52.html index 29657f78..97ad2c74 100644 --- a/docs/html/node52.html +++ b/docs/html/node52.html @@ -1,147 +1,136 @@ - -psb_normi -- Infinity-Norm of Vector - +psb_gedots -- Generalized Dot Product + - + - + -
-
+
-
-
- Next: psb_geamaxs Generalized - Up: Computational routines - Previous: psb_gedots Generalized - Next: psb_normi Infinity-Norm + Up: Computational routines + Previous: psb_gedot Dot + Contents
--psb_normi -- Infinity-Norm of Vector +
+psb_gedots -- Generalized Dot Product
-This function computes - the infinity-norm of a vector
.
-
-If is a real vector
-it computes infinity norm as:
+ ALT="$x$"> and :
+ WIDTH="150" HEIGHT="28" BORDER="0"
+ SRC="img27.png"
+ ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}">
-else if is a complex vector then it computes the infinity-norm as:
-
-- - --
-
- + ALT="$x$"> is +used. If and are of rank one, then is a scalar, else it
+is a rank one array.
-psb_geamax(x, desc_a, info) -psb_normi(x, desc_a, info) +call psb_gedots(res, x, y, desc_a, info)
- -
-+-
Table 4: + Table 3: Data types @@ -161,10 +150,9 @@ Data types
Function + ALT="$x$">,
+Subroutine Short Precision Real -Short Precision Real -psb_geamax +psb_gedots Long Precision Real -Long Precision Real -psb_geamax +psb_gedots Short Precision Real -Short Precision Complex -psb_geamax +Short Precision Complex +psb_gedots Long Precision Real -Long Precision Complex -psb_geamax +Long Precision Complex +psb_gedots - x
- the local portion of global dense matrix
+.
-
Scope: local
@@ -172,9 +160,38 @@ Type: required
Intent: in.
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +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. +Table 3. The rank of must be the same of .
+- y
+- the local portion of global dense matrix +
.
+
+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 must be the same of .
- desc_a
- contains data structures for communications. @@ -186,21 +203,25 @@ Type: required Intent: in.
Specified as: an object of type descdatapsb_desc_type. - -- On Return
- Function value
-- is the infinity norm of subvector
res +
- is the dot product of subvectors
.
+ ALT="$x$"> and .
Scope: global
-Specified as: a long precision real number. +Intent: out. +
+Specified as: a number or a rank-one array of the data type indicated +in Table 2.- info
- Error code. @@ -218,26 +239,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_geamaxs Generalized - Up: Computational routines - Previous: psb_gedots Generalized - Next: psb_normi Infinity-Norm + Up: Computational routines + Previous: psb_gedot Dot + Contents diff --git a/docs/html/node53.html b/docs/html/node53.html index 5220d1b6..1074ec18 100644 --- a/docs/html/node53.html +++ b/docs/html/node53.html @@ -1,121 +1,145 @@ - -psb_geamaxs -- Generalized Infinity Norm - +psb_normi -- Infinity-Norm of Vector + - + - + -
-
+
-
-
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_normi Infinity-Norm - Next: psb_geamaxs Generalized + Up: Computational routines + Previous: psb_gedots Generalized + Contents
--psb_geamaxs -- Generalized Infinity Norm +
+psb_normi -- Infinity-Norm of Vector
-This subroutine computes a series of infinity norms on the columns of -a dense matrix
:
+ ALT="$x$">.
+
+If is a real vector
+it computes infinity norm as:
+ WIDTH="118" HEIGHT="36" BORDER="0"
+ SRC="img29.png"
+ ALT="\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}">
+else if is a complex vector then it computes the infinity-norm as:
+
++ ++
+
+-call psb_geamaxs(res, x, desc_a, info) +psb_geamax(x, desc_a, info) +psb_normi(x, desc_a, info)
-
-+-
Table 5: + Table 4: Data types @@ -135,7 +159,7 @@ Data typesSubroutine +Function Short Precision Real Short Precision Real -psb_geamaxs +psb_geamax Long Precision Real Long Precision Real -psb_geamaxs +psb_geamax Short Precision Real Short Precision Complex -psb_geamaxs +psb_geamax Long Precision Real Long Precision Complex -psb_geamaxs +psb_geamax - x
- the local portion of global dense matrix
.
@@ -145,9 +169,9 @@ Type: required
Intent: in.
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +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. +Table 4.- desc_a
- contains data structures for communications. @@ -159,21 +183,20 @@ Type: required Intent: in.
Specified as: an object of type descdatapsb_desc_type. +- On Return
- res
-- is the infinity norm of the columns of
Function value +
- is the infinity norm of subvector
.
Scope: global
-Intent: out. -
-Specified as: a number or a rank-one array of long precision real numbers. +Specified as: a long precision real number.- info
- Error code. @@ -187,30 +210,29 @@ Intent: out. An integer value; 0 means no error has been detected.
-
-
-
+
-
-
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_normi Infinity-Norm - Next: psb_geamaxs Generalized + Up: Computational routines + Previous: psb_gedots Generalized + Contents diff --git a/docs/html/node54.html b/docs/html/node54.html index 5ee30115..2048a3b8 100644 --- a/docs/html/node54.html +++ b/docs/html/node54.html @@ -1,146 +1,121 @@ - -psb_norm1 -- 1-Norm of Vector - +psb_geamaxs -- Generalized Infinity Norm + - + - + -
-
+
-
-
- Next: psb_geasums Generalized - Up: Computational routines - Previous: psb_geamaxs Generalized - Next: psb_norm1 1-Norm + Up: Computational routines + Previous: psb_normi Infinity-Norm + Contents
--psb_norm1 -- 1-Norm of Vector +
+psb_geamaxs -- Generalized Infinity Norm
-This function computes the 1-norm of a vector
-.
-
-If is a real vector
-it computes 1-norm as:
-- - --
-
- -else if is a complex vector then it computes 1-norm as:
+ ALT="$x$">:
+ WIDTH="148" HEIGHT="36" BORDER="0"
+ SRC="img32.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
-psb_geasum(x, desc_a, info) -psb_norm1(x, desc_a, info) +call psb_geamaxs(res, x, desc_a, info)
-+-
Table 6: + Table 5: Data types @@ -160,10 +135,9 @@ Data types
Function +Subroutine Short Precision Real Short Precision Real -psb_geasum +psb_geamaxs Long Precision Real Long Precision Real -psb_geasum +psb_geamaxs Short Precision Real Short Precision Complex -psb_geasum +psb_geamaxs Long Precision Real Long Precision Complex -psb_geasum +psb_geamaxs - x
- the local portion of global dense matrix
.
-
Scope: local
@@ -173,7 +147,7 @@ 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. +Table 5.- desc_a
- contains data structures for communications. @@ -185,21 +159,21 @@ Type: required Intent: in.
Specified as: an object of type descdatapsb_desc_type. - -- On Return
- Function value
-- is the 1-norm of vector
res +
- is the infinity norm of the columns of
.
Scope: global
-Specified as: a long precision real number. +Intent: out. +
+Specified as: a number or a rank-one array of long precision real numbers.- info
- Error code. @@ -217,26 +191,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_geasums Generalized - Up: Computational routines - Previous: psb_geamaxs Generalized - Next: psb_norm1 1-Norm + Up: Computational routines + Previous: psb_normi Infinity-Norm + Contents diff --git a/docs/html/node55.html b/docs/html/node55.html index 1a9a3d63..80e7cfe1 100644 --- a/docs/html/node55.html +++ b/docs/html/node55.html @@ -1,165 +1,146 @@ - -psb_geasums -- Generalized 1-Norm of Vector - +psb_norm1 -- 1-Norm of Vector + - + - + -
-
+
-
-
- Next: psb_norm2 2-Norm - Up: Computational routines - Previous: psb_norm1 1-Norm - Next: psb_geasums Generalized + Up: Computational routines + Previous: psb_geamaxs Generalized + Contents
--psb_geasums -- Generalized 1-Norm of Vector +
+psb_norm1 -- 1-Norm of Vector
-This subroutine computes a series of 1-norms on the columns of -a dense matrix
-:
-- - --
-
- This function computes the 1-norm of a vector.
If is a real vector
+ ALT="$x$"> is a real vector
it computes 1-norm as:
+ WIDTH="92" HEIGHT="28" BORDER="0"
+ SRC="img33.png"
+ ALT="\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}">
else if is a complex vector then it computes 1-norm as:
+ WIDTH="205" HEIGHT="28" BORDER="0"
+ SRC="img34.png"
+ ALT="\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
-call psb_geasums(res, x, desc_a, info) +psb_geasum(x, desc_a, info) +psb_norm1(x, desc_a, info)
-+-
Table 7: + Table 6: Data types @@ -179,10 +160,9 @@ Data typesSubroutine +Function Short Precision Real Short Precision Real -psb_geasums +psb_geasum Long Precision Real Long Precision Real -psb_geasums +psb_geasum Short Precision Real Short Precision Complex -psb_geasums +psb_geasum Long Precision Real Long Precision Complex -psb_geasums +psb_geasum - x
- the local portion of global dense matrix
.
-
Scope: local
@@ -192,7 +172,7 @@ 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. +Table 6.- desc_a
- contains data structures for communications. @@ -210,17 +190,14 @@ Specified as: an object of type descdatapsb_desc_type.
- On Return
- res
-- contains the 1-norm of (the columns of)
Function value +
- is the 1-norm of vector
.
Scope: global
-Intent: out. -
-Short as: a long precision real number. Specified as: a long precision real number.- info
@@ -239,26 +216,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_norm2 2-Norm - Up: Computational routines - Previous: psb_norm1 1-Norm - Next: psb_geasums Generalized + Up: Computational routines + Previous: psb_geamaxs Generalized + Contents diff --git a/docs/html/node56.html b/docs/html/node56.html index 8412eb0e..2b0fc864 100644 --- a/docs/html/node56.html +++ b/docs/html/node56.html @@ -1,140 +1,165 @@ - -psb_norm2 -- 2-Norm of Vector - +psb_geasums -- Generalized 1-Norm of Vector + - + - + -
-
+
-
-
- Next: psb_genrm2s Generalized - Up: Computational routines - Previous: psb_geasums Generalized - Next: psb_norm2 2-Norm + Up: Computational routines + Previous: psb_norm1 1-Norm + Contents
--psb_norm2 -- 2-Norm of Vector +
+psb_geasums -- Generalized 1-Norm of Vector
-This function computes the 2-norm of a vector
+:
++ + ++
+
+ +This function computes the 1-norm of a vector.
If is a real vector
-it computes 2-norm as:
+ ALT="$x$"> is a real vector
+it computes 1-norm as:
+ WIDTH="94" HEIGHT="28" BORDER="0"
+ SRC="img36.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}">
else if is a complex vector then it computes 2-norm as:
+ ALT="$x$"> is a complex vector then it computes 1-norm as:
+ WIDTH="207" HEIGHT="28" BORDER="0"
+ SRC="img37.png"
+ ALT="\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 8: + Table 7: Data types @@ -143,12 +168,6 @@ Data types
Function +Subroutine Short Precision Real Short Precision Real -psb_genrm2 +psb_geasums Long Precision Real Long Precision Real -psb_genrm2 +psb_geasums Short Precision Real Short Precision Complex -psb_genrm2 +psb_geasums Long Precision Real Long Precision Complex -psb_genrm2 +psb_geasums
--
-psb_genrm2(x, desc_a, info) -psb_norm2(x, desc_a, info) -
-- Type: @@ -160,9 +179,9 @@ psb_norm2(x, desc_a, info)
- x
- the local portion of global dense matrix
.
+ ALT="$x$">.
Scope: local
@@ -170,9 +189,9 @@ Type: required
Intent: in.
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +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. +Table 7. - desc_a
- contains data structures for communications. @@ -190,17 +209,18 @@ Specified as: an object of type descdatapsb_desc_type.
- On Return
- -
- Function Value -
- is the 2-norm of subvector
res +
- contains the 1-norm of (the columns of)
.
Scope: global
-Type: required +Intent: out.
-Specified as: a long precision real number. +Short as: a long precision real number. +Specified as: a long precision real number. - contains the 1-norm of (the columns of)
- info
- Error code.
@@ -218,26 +238,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_genrm2s Generalized - Up: Computational routines - Previous: psb_geasums Generalized - Next: psb_norm2 2-Norm + Up: Computational routines + Previous: psb_norm1 1-Norm + Contents diff --git a/docs/html/node57.html b/docs/html/node57.html index a1622c28..e530b4a6 100644 --- a/docs/html/node57.html +++ b/docs/html/node57.html @@ -1,121 +1,139 @@ - -psb_genrm2s -- Generalized 2-Norm of Vector - +psb_norm2 -- 2-Norm of Vector + - + - + -
-
+
-
-
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_norm2 2-Norm - Next: psb_genrm2s Generalized + Up: Computational routines + Previous: psb_geasums Generalized + Contents
--psb_genrm2s -- Generalized 2-Norm of Vector +
+psb_norm2 -- 2-Norm of Vector
-This subroutine computes a series of 2-norms on the columns of -a dense matrix
:
+ ALT="$x$">.
+
+If is a real vector
+it computes 2-norm as:
+ WIDTH="106" HEIGHT="24" BORDER="0"
+ SRC="img38.png"
+ ALT="\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}">
+else if is a complex vector then it computes 2-norm as:
+
++ -+-
-call psb_genrm2s(res, x, desc_a, info) -
- +
+
+
-+-
Table 9: + Table 8: Data types @@ -124,6 +142,11 @@ Data typesSubroutine +Function Short Precision Real Short Precision Real -psb_genrm2s +psb_genrm2 Long Precision Real Long Precision Real -psb_genrm2s +psb_genrm2 Short Precision Real Short Precision Complex -psb_genrm2s +psb_genrm2 Long Precision Real Long Precision Complex -psb_genrm2s +psb_genrm2
++
+psb_genrm2(x, desc_a, info) +psb_norm2(x, desc_a, info) +
- Type: @@ -135,10 +158,9 @@ Data types
- x
- the local portion of global dense matrix
.
-
+ ALT="$x$">.
Scope: local
@@ -146,9 +168,9 @@ Type: required
Intent: in.
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +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. +Table 8. - desc_a
- contains data structures for communications.
@@ -160,23 +182,22 @@ Type: required
Intent: in.
Specified as: an object of type descdatapsb_desc_type. - - On Return
- -
- res -
- contains the 1-norm of (the columns of)
Function Value +
- is the 2-norm of subvector
.
Scope: global
-Intent: out. +Type: required
-Specified as: a long precision real number. +Specified as: a long precision real number. - is the 2-norm of subvector
- info
- Error code.
@@ -194,26 +215,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_norm1 1-Norm - Up: Computational routines - Previous: psb_norm2 2-Norm - Next: psb_genrm2s Generalized + Up: Computational routines + Previous: psb_geasums Generalized + Contents diff --git a/docs/html/node58.html b/docs/html/node58.html index e323fc9e..8ca3cbf1 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -1,121 +1,121 @@ - -psb_norm1 -- 1-Norm of Sparse Matrix - +psb_genrm2s -- Generalized 2-Norm of Vector + - + - + -
-
+
-
-
- Next: psb_normi Infinity - Up: Computational routines - Previous: psb_genrm2s Generalized - Next: psb_norm1 1-Norm + Up: Computational routines + Previous: psb_norm2 2-Norm + Contents
--psb_norm1 -- 1-Norm of Sparse Matrix +
+psb_genrm2s -- Generalized 2-Norm of Vector
-This function computes the 1-norm of a matrix
:
-
-+This subroutine computes a series of 2-norms on the columns of +a dense matrix
:
+ WIDTH="126" HEIGHT="28" BORDER="0"
+ SRC="img41.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
-where: --
-
-
-
- represents the global matrix
-
-
+
+call psb_genrm2s(res, x, desc_a, info) +
-+-
Table 10: + Table 9: Data types @@ -124,12 +124,6 @@ Data typesFunction + WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img28.png" + ALT="$res$"> +Subroutine Short Precision Real -psb_spnrm1 +Short Precision Real +psb_genrm2s Long Precision Real -psb_spnrm1 +Long Precision Real +psb_genrm2s Short Precision Complex -psb_spnrm1 +Short Precision Real +Short Precision Complex +psb_genrm2s Long Precision Complex -psb_spnrm1 +Long Precision Real +Long Precision Complex +psb_genrm2s
--
-psb_spnrm1(A, desc_a, info) -psb_norm1(A, desc_a, info) -
-- Type: @@ -138,20 +132,22 @@ psb_norm1(A, desc_a, info)
- On Entry
- -
- a -
- the local portion of the global sparse matrix +
- x +
- the local portion of global dense matrix
.
+ WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img20.png"
+ ALT="$x$">.
Scope: local
-Type: required +Type: required
Intent: in.
-Specified as: an object of type spdatapsb_Tspmat_type. +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.
@@ -163,19 +159,23 @@ Type: required
Intent: in.
Specified as: an object of type descdatapsb_desc_type. + + - On Return
- -
- Function value -
- is the 1-norm of sparse submatrix .
+
- res +
- contains the 1-norm of (the columns of) .
Scope: global
-Specified as: a long precision real number. +Intent: out. +
+Specified as: a long precision real number. - info
- Error code.
@@ -193,26 +193,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_normi Infinity - Up: Computational routines - Previous: psb_genrm2s Generalized - Next: psb_norm1 1-Norm + Up: Computational routines + Previous: psb_norm2 2-Norm + Contents diff --git a/docs/html/node59.html b/docs/html/node59.html index 579e6be5..40d5c991 100644 --- a/docs/html/node59.html +++ b/docs/html/node59.html @@ -1,62 +1,62 @@ - -psb_normi -- Infinity Norm of Sparse Matrix - +psb_norm1 -- 1-Norm of Sparse Matrix + - + - + -
-
+
-
-
- Next: psb_spmm Sparse - Up: Computational routines - Previous: psb_norm1 1-Norm - Next: psb_normi Infinity + Up: Computational routines + Previous: psb_genrm2s Generalized + Contents
--psb_normi -- Infinity Norm of Sparse Matrix +
+psb_norm1 -- 1-Norm of Sparse Matrix
-This function computes the infinity-norm of a matrix
@@ -92,9 +92,9 @@ where::
@@ -66,14 +66,14 @@ This function computes the infinity-norm of a matrix 
+ WIDTH="98" HEIGHT="28" BORDER="0"
+ SRC="img42.png"
+ ALT="\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}">
-+@@ -126,8 +126,8 @@ Data types-
Table 11: + Table 10: Data types @@ -106,16 +106,16 @@ Data typesFunction Short Precision Real -psb_spnrmi +psb_spnrm1 Long Precision Real -psb_spnrmi +psb_spnrm1 Short Precision Complex -psb_spnrmi +psb_spnrm1 Long Precision Complex -psb_spnrmi +psb_spnrm1 -psb_spnrmi(A, desc_a, info) -psb_normi(A, desc_a, info) +psb_spnrm1(A, desc_a, info) +psb_norm1(A, desc_a, info)
@@ -168,7 +168,7 @@ Specified as: an object of type descdatapsb_desc_type.
- Function value
-- is the infinity-norm of sparse submatrix
is the 1-norm of sparse submatrix
.
@@ -193,26 +193,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_spmm Sparse - Up: Computational routines - Previous: psb_norm1 1-Norm - Next: psb_normi Infinity + Up: Computational routines + Previous: psb_genrm2s Generalized + Contents diff --git a/docs/html/node6.html b/docs/html/node6.html index 7bfa16b7..0a4816fb 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -1,6 +1,6 @@ - -
-
-
-
- Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents - Contents
@@ -64,7 +64,7 @@ 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
is isomorphic to the set of cell centers,
whereas the pattern of the associated linear system matrix is
@@ -75,7 +75,7 @@ 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_cdallin which we specify the size of the index space
and the allocation of the elements of the
index space to the various processes making up the MPI (virtual)
@@ -84,7 +84,7 @@ parallel machine.
The index space is partitioned among processes, and this creates a mapping from the ``global'' numbering
to a numbering
``local'' to each process; each process 
, each element of which corresponds to a certain
element of . The user does not set explicitly this mapping;
when the application needs to indicate to which element of the index
@@ -109,7 +109,7 @@ library will translate into the appropriate ``local'' numbering.
For a given index space
there are many possible associated
topologies, i.e. many different discretization stencils; thus the
@@ -249,32 +249,32 @@ from optimal.
Subsections
-
-
-
-
- Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents - Contents diff --git a/docs/html/node60.html b/docs/html/node60.html index dc3b180f..7380bc16 100644 --- a/docs/html/node60.html +++ b/docs/html/node60.html @@ -1,149 +1,89 @@ - -psb_spmm -- Sparse Matrix by Dense Matrix Product - +psb_normi -- Infinity Norm of Sparse Matrix + - + - + -
-
+
-
-
- Next: psb_spsm Triangular - Up: Computational routines - Previous: psb_normi Infinity - Next: psb_spmm Sparse + Up: Computational routines + Previous: psb_norm1 1-Norm + Contents
--psb_spmm -- Sparse Matrix by Dense Matrix - Product +
+psb_normi -- Infinity Norm of Sparse Matrix
-This subroutine computes the Sparse Matrix by Dense Matrix Product: - -
-
-
-
- +This function computes the infinity-norm of a matrix:
- +
+ where:-
-
-
-
- is the global dense matrix
-
- -
-
- is the global dense matrix
- -
-
- is the global sparse matrix
represents the global matrix
@@ -152,9 +92,9 @@ where:
-+@@ -198,10 +126,9 @@ Data types-
Table 12: + Table 11: Data types @@ -162,32 +102,20 @@ Data typesSubroutine + ALT="$A$"> +Function Short Precision Real -psb_spmm +psb_spnrmi Long Precision Real -psb_spmm +psb_spnrmi Short Precision Complex -psb_spmm +psb_spnrmi Long Precision Complex -psb_spmm +psb_spnrmi -call psb_spmm(alpha, a, x, beta, y, desc_a, info) -call psb_spmm(alpha, a, x, beta, y,desc_a, info, & - & trans, work) -
+psb_spnrmi(A, desc_a, info) +psb_normi(A, desc_a, info) +-
@@ -211,23 +138,8 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
- On Entry
- -
- alpha -
- the scalar .
-
-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
+
- the local portion of the global sparse matrix
-in.
Specified as: an object of type spdatapsb_Tspmat_type. - the local portion of the global sparse matrix
- x -
- the local portion of global dense matrix
-.
-
-
-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 must be the same of .
-
- - beta -
- the scalar .
-
-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
-.
-
-
-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 must be the same of .
- - desc_a
- contains data structures for communications.
@@ -314,74 +164,18 @@ 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 - -
-Type: optional -
-Intent: in. -
-Default:
-
-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 and with
-the TARGET attribute.
-
--
- On Return
- -
- y -
- the local portion of result matrix .
-
-Scope: local -
-Type: required + - Function value +
- is the infinity-norm of sparse submatrix .
-Intent: inout. +Scope: global
-Specified as: an array of rank one or two -containing numbers of type specified in -Table 12. +Specified as: a long precision real number. - info
- Error code.
@@ -399,26 +193,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: psb_spsm Triangular - Up: Computational routines - Previous: psb_normi Infinity - Next: psb_spmm Sparse + Up: Computational routines + Previous: psb_norm1 1-Norm + Contents diff --git a/docs/html/node61.html b/docs/html/node61.html index 3bc502cf..58780c61 100644 --- a/docs/html/node61.html +++ b/docs/html/node61.html @@ -1,94 +1,128 @@ - -psb_spsm -- Triangular System Solve - +psb_spmm -- Sparse Matrix by Dense Matrix Product + - + + - + -
-
+
-
-
- Next: Communication routines - Up: Computational routines - Previous: psb_spmm Sparse - Next: psb_spsm Triangular + Up: Computational routines + Previous: psb_normi Infinity + Contents
--psb_spsm -- Triangular System Solve +
+psb_spmm -- Sparse Matrix by Dense Matrix + Product
-This subroutine computes the Triangular System Solve: +This subroutine computes the Sparse Matrix by Dense Matrix Product:
-
- +
+ +
+where:
- is the global dense matrix
-- is the global sparse block triangular submatrix
+
- is the global sparse matrix
-
- - is the global sparse matrix
-- is the scaling diagonal matrix. + SRC="img1.png" + ALT="$A$">
-
-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: + Table 12: Data types @@ -178,6 +196,13 @@ Data types, , , , , , Subroutine Short Precision Real -psb_spsm +psb_spmm Long Precision Real -psb_spsm +psb_spmm Short Precision Complex -psb_spsm +psb_spmm Long Precision Complex -psb_spsm +psb_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: @@ -188,7 +213,7 @@ Data types
- alpha
- the scalar .
@@ -199,14 +224,14 @@ Type: required Intent: in.
Specified as: a number of the data type indicated in -Table 13. +Table 12.
- - t -
- the global portion of the sparse matrix +
- a +
- the local portion of the sparse matrix
.
+ SRC="img1.png"
+ ALT="$A$">.
Scope: local
@@ -214,16 +239,14 @@ Type: required
Intent: in.
-Specified as: an object type specified in -§ 3. +Specified as: an object of type spdatapsb_Tspmat_type. - x
- the local portion of global dense matrix
.
-
Scope: local
@@ -233,8 +256,8 @@ 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 of12. The rank of
must be the same of required
Intent: in.
-Specified as: a number of the data type indicated in Table 13. +Specified as: a number of the data type indicated in Table 12. - y
- the local portion of global dense matrix
@@ -261,7 +284,6 @@ Specified as: a number of the data type indicated in Table .
-
Scope: local
@@ -271,11 +293,11 @@ 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 of12. The rank of
must be the same of .
@@ -291,16 +313,18 @@ Intent: in.
Specified as: an object of type descdatapsb_desc_type.
- trans -
- specify with unitd the operation to perform.
+
- indicates what kind of operation to perform.
--
-
- trans = 'N' -
- the operation is with no transposed matrix +
- trans = N +
- the operation is specified by equation 1 -
- trans = 'T' -
- the operation is with transposed matrix. +
- trans = T +
- the operation is specified by equation +2 -
- trans = 'C' -
- the operation is with conjugate transposed matrix. +
- trans = C +
- the operation is specified by equation +3
Default:
Specified as: a character variable. - - indicates what kind of operation to perform.
- 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. - -
-Type: optional -
-Intent: in. -
-Default:
-
-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_-
-
-Type: optional -
-Intent: in. -
-Default:psb_avg_-
-Specified as: an integer variable. -
- - diag -
- the diagonal scaling matrix.
-
-Scope: local -
-Type: optional -
-Intent: in. -
-Default: -
-
-Specified as: a rank one array containing numbers of the type -indicated in Table 13. + - work -
- a work array.
+
- work array.
@@ -410,12 +365,10 @@ TARGET attribute.
Scope: local
@@ -399,10 +351,13 @@ Type: optional Intent: inout.
Specified as: a rank one array of the same type of with the
-TARGET attribute.
+ ALT="$x$"> and with
+the TARGET attribute.
- work array.
- y -
- the local portion of global dense matrix
-
the local portion of result matrix
.
-
+ ALT="$y$">.
Scope: local
@@ -425,7 +378,7 @@ Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified in -Table 13. +Table 12. - info
- Error code.
@@ -443,26 +396,26 @@ An integer value; 0 means no error has been detected.
-
-
+
-
-
- Next: Communication routines - Up: Computational routines - Previous: psb_spmm Sparse - Next: psb_spsm Triangular + Up: Computational routines + Previous: psb_normi Infinity + Contents diff --git a/docs/html/node62.html b/docs/html/node62.html index 40628059..ad853258 100644 --- a/docs/html/node62.html +++ b/docs/html/node62.html @@ -1,80 +1,467 @@ - -Communication routines - +psb_spsm -- Triangular System Solve + - + - - - + + -
-
+
-
-
- Next: psb_halo Halo - Up: userhtml - Previous: psb_spsm Triangular - Next: Communication routines + Up: Computational routines + Previous: psb_spmm Sparse + 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. ++psb_spsm -- Triangular System Solve +
-
- -Subsections +This subroutine computes the Triangular System Solve: --
-
- psb_halo -- Halo Data Communication -
- psb_ovrl -- Overlap Update -
- psb_gather -- Gather Global Dense Matrix -
- psb_scatter -- Scatter Global Dense Matrix -
++
++ ++
+ ++where: +
-
+
-
+
- is the global dense matrix
+
+
-
+
- is the global dense matrix
+
+
-
+
- is the global sparse block triangular submatrix
+
+
-
+
- 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 ++ +++
+Subroutine +Short Precision Real +psb_spsm +Long Precision Real +psb_spsm +Short Precision Complex +psb_spsm +Long Precision Complex +psb_spsm +
+ ++
-
+
- Type: +
- Synchronous. + +
- On Entry +
- + +
- alpha +
- the scalar .
+
+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
+.
+
+Scope: local +
+Type: required +
+Intent: in. +
+Specified as: an object type specified in +§ 3. +
+ - x +
- the local portion of global dense matrix
+.
+
+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 must be the same of .
+
+ - beta +
- the scalar .
+
+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
+.
+
+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 must be the same of .
+
+ - 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. + +
+Type: optional +
+Intent: in. +
+Default:
+
+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. + +
+Type: optional +
+Intent: in. +
+Default:
+
+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_+
+
+Type: optional +
+Intent: in. +
+Default:psb_avg_+
+Specified as: an integer variable. +
+ - diag +
- the diagonal scaling matrix.
+
+Scope: local +
+Type: optional +
+Intent: in. +
+Default: +
+
+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 with the
+TARGET attribute.
+
++
+ - On Return +
- + +
- y +
- the local portion of global dense matrix
+.
+
+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: Communication routines + Up: Computational routines + Previous: psb_spmm Sparse + Contents + diff --git a/docs/html/node63.html b/docs/html/node63.html index 18f80190..36da86ce 100644 --- a/docs/html/node63.html +++ b/docs/html/node63.html @@ -1,638 +1,79 @@ - -psb_halo -- Halo Data Communication - +Communication routines + - + - - - + + + -
-
+
-
-
- Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines - Next: psb_halo Halo + Up: userhtml + Previous: psb_spsm Triangular + Contents
--psb_halo -- Halo Data Communication -
- --These subroutines gathers the values of the halo -elements: - -
-
-- - --
-
- -where: --
-
-
-
- is a global dense submatrix. - -
-
----
-Table 14: -Data types -- ---
-Subroutine -Integer -psb_halo -Short Precision Real -psb_halo -Long Precision Real -psb_halo -Short Precision Complex -psb_halo -Long Precision Complex -psb_halo -
- --
-
-
- --
-
-
- Type: -
- Synchronous. - -
- On Entry -
- - -
- x -
- global 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 -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.
-
- - 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 .
-
-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 .
-
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value that contains an error code. -
-
-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
vector, and process 1 assigns a value of 2, then after a
-call to psb_halothe 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 -
++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.-
- - -
-
-
-
-
-
-
-
- Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines - Contents - +
+ +Subsections + +-
+
- psb_halo -- Halo Data Communication +
- psb_ovrl -- Overlap Update +
- psb_gather -- Gather Global Dense Matrix +
- psb_scatter -- Scatter Global Dense Matrix +
diff --git a/docs/html/node64.html b/docs/html/node64.html index a2fc6b2e..ed700a0f 100644 --- a/docs/html/node64.html +++ b/docs/html/node64.html @@ -1,131 +1,122 @@ - -psb_ovrl -- Overlap Update - +psb_halo -- Halo Data Communication + - + - + -
-
+
-
-
- Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo - Next: psb_ovrl Overlap + Up: Communication routines + Previous: Communication routines + Contents
--psb_ovrl -- Overlap Update +
+psb_halo -- Halo Data Communication
-These subroutines applies an overlap operator to the input vector: +These subroutines gathers the values of the halo +elements:
+ WIDTH="43" HEIGHT="24" BORDER="0"
+ SRC="img55.png"
+ ALT="\begin{displaymath}x \leftarrow x \end{displaymath}">
where:-
-
- is the global dense submatrix
-
-
-- is the overlap operator; it is the composition of two
-operators
and 
.
+- is a global dense submatrix.
-+-
Table 15: + Table 14: Data types @@ -137,13 +128,13 @@ Data typesSubroutine Integer +psb_halo +Short Precision Real -psb_ovrl +psb_halo Long Precision Real -psb_ovrl +psb_halo Short Precision Complex -psb_ovrl +psb_halo Long Precision Complex -psb_ovrl +psb_halo
-
+
-
@@ -155,7 +146,7 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
- x
- global dense matrix .
@@ -167,7 +158,7 @@ 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. +Table 14. - desc_a
- contains data structures for communications.
@@ -180,41 +171,6 @@ 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
;
-
- - update = psb_avg_ -
- Average overlap entries, i.e. apply
;
-
-
-Intent: in. -
-Default: -
-
-Scope: global -
-Specified as: a integer variable. - - work
- the work array.
@@ -224,10 +180,21 @@ Type: optional
Intent: inout.
-Specified as: a one dimensional array of the same type of.
+ ALT="$x$">.
+
+ - 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.
@@ -236,7 +203,7 @@ Specified as: a one dimensional array of the same type of - x
- global dense result matrix .
@@ -246,12 +213,15 @@ Type: required
Intent: inout.
-Specified as: an array of rank one or two +Returned as: a rank one or two array containing numbers of type specified in -Table 15. +Table 14. - info -
- Error code.
+
- the local portion of result submatrix
.
Scope: local
@@ -259,80 +229,46 @@ Type: required
Intent: out.
-An integer value; 0 means no error has been detected. +An integer value that contains an error code. - the local portion of result submatrix
-Notes - -
-
-
- If there is no overlap in the data distribution associated with - the descriptor, no operations are performed; - -
- The operator performs the reduction sum of overlap
-elements; it is a ``prolongation'' operator that
-replicates overlap elements, accounting for the physical replication
-of data;
-
-
- The operator 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.
-
-
- -
+-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 +-
Figure 8: + Figure 7: Sample discretization mesh. ![\includegraphics[scale=0.65]{figures/try8x8_ov.eps}](img68.png)
+ WIDTH="358" HEIGHT="313" ALIGN="BOTTOM" BORDER="0"
+ SRC="img58.png"
+ ALT="\includegraphics[scale=0.45]{figures/try8x8.eps}">
![\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}](img67.png)
+ WIDTH="1" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
+ SRC="img57.png"
+ ALT="\rotatebox{-90}{\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
vector, and process 1 assigns a value of 2, then after a
-call to psb_ovrlwithpsb_avg_and a call to -psb_halo_the contents of the local vectors will be the -following (showing a transition among the two subdomains) - -+call to
psb_halothe contents of the local vectors will be the +following:
@@ -739,26 +611,26 @@ Process 1@@ -355,7 +291,7 @@ Process 1
1.0 1 33 -1.5 +2.0 2 @@ -363,7 +299,7 @@ Process 11.0 2 34 -1.5 +2.0 3 @@ -371,7 +307,7 @@ Process 11.0 3 35 -1.5 +2.0 4 @@ -379,7 +315,7 @@ Process 11.0 4 36 -1.5 +2.0 5 @@ -387,7 +323,7 @@ Process 11.0 5 37 -1.5 +2.0 6 @@ -395,7 +331,7 @@ Process 11.0 6 38 -1.5 +2.0 7 @@ -403,7 +339,7 @@ Process 11.0 7 39 -1.5 +2.0 8 @@ -411,7 +347,7 @@ Process 11.0 8 40 -1.5 +2.0 9 @@ -510,7 +446,7 @@ Process 12.0 - 21 +2121 1.0 21 @@ -518,7 +454,7 @@ Process 12.0 - 22 +2222 1.0 22 @@ -526,7 +462,7 @@ Process 12.0 - 23 +2323 1.0 23 @@ -534,7 +470,7 @@ Process 12.0 - 24 +2424 1.0 24 @@ -542,195 +478,131 @@ Process 12.0 - 25 +2525 -1.5 +1.0 25 57 2.0 - 26 +2626 -1.5 +1.0 26 58 2.0 - 27 +2727 -1.5 +1.0 27 59 2.0 - 28 +2828 -1.5 +1.0 28 60 2.0 - 29 +2929 -1.5 +1.0 29 61 2.0 - 30 +3030 -1.5 +1.0 30 62 2.0 - 31 +3131 -1.5 +1.0 31 63 2.0 - 32 +3232 -1.5 +1.0 32 64 2.0 - 33 +3333 -1.5 +2.0 33 25 -1.5 +1.0 - 34 +3434 -1.5 +2.0 34 26 -1.5 +1.0 - 35 +3535 -1.5 +2.0 35 27 -1.5 +1.0 - 36 +3636 -1.5 +2.0 36 28 -1.5 +1.0 - 37 +3737 -1.5 +2.0 37 29 -1.5 +1.0 - 38 +3838 -1.5 +2.0 38 30 -1.5 +1.0 - 39 +3939 -1.5 +2.0 39 31 -1.5 +1.0 - 40 +4040 -1.5 +2.0 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: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo - Next: psb_ovrl Overlap + Up: Communication routines + Previous: Communication routines + Contents diff --git a/docs/html/node65.html b/docs/html/node65.html index 72ed324b..78bdd1bc 100644 --- a/docs/html/node65.html +++ b/docs/html/node65.html @@ -1,142 +1,131 @@ - -psb_gather -- Gather Global Dense Matrix - +psb_ovrl -- Overlap Update + - + - + -
-
+
-
-
- Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap - Next: psb_gather Gather + Up: Communication routines + Previous: psb_halo Halo + Contents
--psb_gather -- Gather Global Dense Matrix +
+psb_ovrl -- Overlap Update
-These subroutines collect the portions of global dense matrix -distributed over all process into one single array stored on one -process. +These subroutines applies an overlap operator to the input vector:
+ WIDTH="55" HEIGHT="27" BORDER="0"
+ SRC="img59.png"
+ ALT="\begin{displaymath}x \leftarrow Q x \end{displaymath}">
where:
-- is the global submatrix
-
-
- 
-- is the local portion of global dense matrix on
-process .
+ WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img20.png"
+ ALT="$x$">
+
- is the global dense submatrix
- is the global dense submatrix
-- is the collect function.
+ WIDTH="16" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img60.png"
+ ALT="$Q$">
+
- is the overlap operator; it is the composition of two +operators
and .
- is the overlap operator; it is the composition of two +operators
-+-
Table 16: + Table 15: Data types @@ -148,13 +137,13 @@ Data types
Subroutine Integer -psb_gather -Short Precision Real -psb_gather +psb_ovrl Long Precision Real -psb_gather +psb_ovrl Short Precision Complex -psb_gather +psb_ovrl Long Precision Complex -psb_gather +psb_ovrl
-
+
-
@@ -164,21 +153,21 @@ call psb_gather(glob_x, loc_x, desc_a, info, root)
- On Entry
- -
- loc_x -
- the local portion of global dense matrix
-.
+
- x +
- global dense matrix .
Scope: local
-Type: required +Type: required
-Intent: in. +Intent: inout.
Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -indicated in Table 16. +containing numbers of type specified in +Table 15. - desc_a
- contains data structures for communications.
@@ -191,43 +180,75 @@ Intent: in.
Specified as: a structured data of type descdatapsb_desc_type.
- - root -
- The process that holds the global copy. If
all
- the processes will have a copy of the global vector.
-
+ - update +
- Update operator.
+
-
+
- update = psb_none_ +
- Do nothing; + +
- update = psb_add_ +
- Sum overlap entries, i.e. apply ;
+
+
- update = psb_avg_ +
- Average overlap entries, i.e. apply ;
+
+
-Type: optional -
Intent: in.
-Specified as: an integer variable
, default .
+ WIDTH="166" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img66.png"
+ ALT="$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.
+
+ - On Return
- -
- glob_x -
- The array where the local parts must be gathered. +
- x +
- global dense result matrix .
-Scope: global +Scope: local
-Type: required +Type: required
-Intent: out. +Intent: inout.
-Specified as: a rank one or two array with theALLOCATABLEattribute. +Specified as: an array of rank one or two +containing numbers of type specified in +Table 15. - info
- Error code. @@ -242,29 +263,502 @@ An integer value; 0 means no error has been detected.
+Notes + +
-
+
- If there is no overlap in the data distribution associated with + the descriptor, no operations are performed; + +
- The operator performs the reduction sum of overlap
+elements; it is a ``prolongation'' operator that
+replicates overlap elements, accounting for the physical replication
+of data;
+
+
- The operator 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.
+
+
+ +
+ +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 vector, and process 1 assigns a value of 2, then after a
+call to psb_ovrlwithpsb_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: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap - Next: psb_gather Gather + Up: Communication routines + Previous: psb_halo Halo + Contents diff --git a/docs/html/node66.html b/docs/html/node66.html index 85e5977b..1f80e7a0 100644 --- a/docs/html/node66.html +++ b/docs/html/node66.html @@ -1,76 +1,78 @@ - -psb_scatter -- Scatter Global Dense Matrix - +psb_gather -- Gather Global Dense Matrix + - + + - + -
-
+
-
-
- Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather - Next: psb_scatter Scatter + Up: Communication routines + Previous: psb_ovrl Overlap + Contents
--psb_scatter -- Scatter Global Dense Matrix +
+psb_gather -- Gather Global Dense Matrix
-These subroutines scatters the portions of global dense matrix owned -by a process to all the processes in the processes grid. +These subroutines collect the portions of global dense matrix +distributed over all process into one single array stored on one +process.
+ WIDTH="163" HEIGHT="28" BORDER="0"
+ SRC="img69.png"
+ ALT="\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath}">
@@ -80,7 +82,7 @@ where: WIDTH="46" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img70.png" ALT="$glob\_x$"> -- is the global matrix
.
- is the scatter function. + WIDTH="49" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" + SRC="img73.png" + ALT="$collect$"> +
- is the collect function.
-+@@ -146,11 +148,11 @@ Data types-
Table 17: + Table 16: Data types @@ -122,19 +124,19 @@ Data typesSubroutine Integer -psb_scatter +psb_gather Short Precision Real -psb_scatter +psb_gather Long Precision Real -psb_scatter +psb_gather Short Precision Complex -psb_scatter +psb_gather Long Precision Complex -psb_scatter +psb_gather
@@ -162,16 +164,21 @@ call psb_scatter(glob_x, loc_x, desc_a, info, root)- On Entry
- glob_x
-- The array that must be scattered into local pieces. +
- loc_x
+- the local portion of global dense matrix +
.
-Scope: global +Scope: local
Type: required
Intent: in.
-Specified as: a rank one or two array. +Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +indicated in Table 16.- desc_a
- contains data structures for communications. @@ -189,7 +196,7 @@ Specified as: a structured data of type descdatapsb_desc_type. WIDTH="74" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img76.png" ALT="$root=-1$"> all - the processes have a copy of the global vector. + the processes will have a copy of the global vector.
Scope: global
@@ -211,21 +218,16 @@ Specified as: an integer variable -
-
+
-
-
- Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather - Next: psb_scatter Scatter + Up: Communication routines + Previous: psb_ovrl Overlap + Contents diff --git a/docs/html/node67.html b/docs/html/node67.html index d0a9cb2f..f5bae346 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -1,136 +1,279 @@ - -Data management routines - +psb_scatter -- Scatter Global Dense Matrix + - + - - - + + -
-
+
-
-
- Next: psb_cdall Allocates - Up: userhtml - Previous: psb_scatter Scatter - 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. + +
+
++ + ++
+
+ +where: +-
+
-
+
- is the global matrix
+
+
+
-
+
- is the local portion of global dense matrix on
+process .
+
+
-
+
- is the scatter function. + +
+
+++
+Table 17: +Data types ++ +++
+Subroutine +Integer +psb_scatter +Short Precision Real +psb_scatter +Long Precision Real +psb_scatter +Short Precision Complex +psb_scatter +Long Precision Complex +psb_scatter +
-Data management routines --
- -Subsections +
+
+
--
-
- psb_cdall -- Allocates a communication descriptor -
- psb_cdins -- Communication descriptor insert - routine -
- psb_cdasb -- Communication descriptor assembly - routine -
- psb_cdcpy -- Copies a communication descriptor -
- psb_cdfree -- Frees a communication descriptor -
- psb_cdbldext -- Build an extended communication - descriptor -
- psb_spall -- Allocates a sparse matrix -
- psb_spins -- Insert a cloud of elements into a sparse - matrix -
- psb_spasb -- Sparse matrix assembly routine -
- psb_spfree -- Frees a sparse matrix -
- psb_sprn -- Reinit sparse matrix structure for psblas - routines. -
- psb_geall -- Allocates a dense matrix -
- psb_geins -- Dense matrix insertion routine -
- psb_geasb -- Assembly a dense matrix -
- psb_gefree -- Frees a dense matrix -
- psb_gelp -- Applies a left permutation to a dense - matrix -
- psb_glob_to_loc -- Global to local indices - convertion -
- psb_loc_to_glob -- Local to global indices - conversion -
- psb_is_owned -- -
- psb_owned_index -- -
- psb_is_local -- -
- psb_local_index -- -
- psb_get_boundary -- Extract list of boundary - elements -
- psb_get_overlap -- Extract list of overlap - elements -
- psb_sp_getrow -- Extract row(s) from a sparse - matrix -
- psb_sizeof -- Memory occupation -
- Sorting utilities -- -
++
-
+
- 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 all
+ the processes have a copy of the global vector.
+
+Scope: global +
+Type: optional +
+Intent: in. +
+Specified as: an integer variable +, 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
+.
+
+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: Data management routines + Up: Communication routines + Previous: psb_gather Gather + Contents + diff --git a/docs/html/node68.html b/docs/html/node68.html index b6e2e06f..ac901912 100644 --- a/docs/html/node68.html +++ b/docs/html/node68.html @@ -1,452 +1,136 @@ - -psb_cdall -- Allocates a communication descriptor - +Data management routines + - + - - - + + + -
-
+
-
-
- Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines - Next: psb_cdall Allocates + Up: userhtml + Previous: psb_scatter Scatter + 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=.true.,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,nlorrepl-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
-
is allocated
- to process 
.
-
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer array. -
- - flag -
- Specifies whether entries in
are zero- or one-based.
-
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer value
, default 
.
-
--
- - mg -
- the (global) number of rows of the problem.
-
-Scope:global. -
-Type:optional. -
-Intent: in. -
-Specified as: an integer value. It is required ifpartsor -replis specified, it is optional ifvgis 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
-
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:.true.-
- - lidx -
- Data allocation: the set of local indices
-
to be assigned to the global indices 
.
-
-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 +
+ +Subsections --
-
- One of the optional arguments
parts,vg, -vl,nlorreplmust 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
mgas 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; - - -
-
-
- 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
-
-
; if 
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 - is assigned to process .
- The vector vgmust be identical on all - calling processes; its entries may have the ranges
- or 
according to the value of flag. - The size
may be specified via the optional argument mg; - the default is to use the entire vectorvg, 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 is given by
- the range of the aggregate of the individual vectors vlspecified - in the calling processes. The size may be specified via the optional - argumentnl; the default is to use the entire vector -vl, thus havingnl=size(vl). - Ifglobalcheck=.true.the subroutine will check how many - times each entry in the global index space
is
- specified in the input lists vl, thus allowing for the - presence of overlap in the input, and checking for ``orphan'' - indices. Ifglobalcheck=.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
lidxis 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 argumentlidxthe user - would also likely employlidxin calls topsb_cdins- andlocalin calls topsb_spinsandpsb_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
gets assigned a consecutive chunk of 
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. - -
- - On exit from this routine the descriptor is in the build - state. - -
- Calling the routine with
vgorpartsimplies that - every process will scan the entire index space to figure out the - local indices. -
- - Overlapped indices are possible with both
partsand -vlinvocations. -
- - When the subroutine is invoked with
vlin - conjunction withglobalcheck=.true., it will perform a scan - of the index space to search for overlap or orphan indices. -
- - When the subroutine is invoked with
vlin - conjunction withglobalcheck=.false., no index space scan - will take place. Thus it is the responsibility of the user to make - sure that the indices specified invlhave neither orphans nor - overlaps; if this assumption fails, results will be - unpredictable. -
- - Orphan and overlap indices are
- impossible by construction when the subroutine is invoked with
-
nl(alone), orvg. -
-
-
- - -
-
-
-
-
-
-
-
- Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines - Contents - +-
+
- psb_cdall -- Allocates a communication descriptor +
- psb_cdins -- Communication descriptor insert + routine +
- psb_cdasb -- Communication descriptor assembly + routine +
- psb_cdcpy -- Copies a communication descriptor +
- psb_cdfree -- Frees a communication descriptor +
- psb_cdbldext -- Build an extended communication + descriptor +
- psb_spall -- Allocates a sparse matrix +
- psb_spins -- Insert a cloud of elements into a sparse + matrix +
- psb_spasb -- Sparse matrix assembly routine +
- psb_spfree -- Frees a sparse matrix +
- psb_sprn -- Reinit sparse matrix structure for psblas + routines. +
- psb_geall -- Allocates a dense matrix +
- psb_geins -- Dense matrix insertion routine +
- psb_geasb -- Assembly a dense matrix +
- psb_gefree -- Frees a dense matrix +
- psb_gelp -- Applies a left permutation to a dense + matrix +
- psb_glob_to_loc -- Global to local indices + convertion +
- psb_loc_to_glob -- Local to global indices + conversion +
- psb_is_owned -- +
- psb_owned_index -- +
- psb_is_local -- +
- psb_local_index -- +
- psb_get_boundary -- Extract list of boundary + elements +
- psb_get_overlap -- Extract list of overlap + elements +
- psb_sp_getrow -- Extract row(s) from a sparse + matrix +
- psb_sizeof -- Memory occupation +
- Sorting utilities -- +
diff --git a/docs/html/node69.html b/docs/html/node69.html index c89696dc..9743dd2c 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -1,160 +1,226 @@ - -psb_cdins -- Communication descriptor insert routine - +psb_cdall -- Allocates a communication descriptor + - + - + -
-
+
-
-
- Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates - Next: psb_cdins Communication + Up: Data management routines + Previous: Data management routines + Contents
--psb_cdins -- Communication descriptor insert - routine +
+psb_cdall -- Allocates a communication descriptor
-call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla]) -call psb_cdins(nz,ja,desc,info[,jla,mask,lidx]) +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=.true.,lidx=lidx]) +call psb_cdall(icontxt, desc_a, info,nl=nl) +call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
-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
; the starting index 
should
-belong to the current process.
-In the second form only the remote indices 
are specified.
-
-+This subroutine initializes the communication descriptor associated +with an index space. One of the optional arguments +
parts,vg,vl,nlorrepl+must be specified, thereby choosing +the specific initialization strategy.-
-
- Type: -
- Asynchronous. - -
- On Entry +
- On Entry
- -
- nz -
- the number of points being inserted. +
- Type: +
- Synchronous. + +
- icontxt +
- the communication context.
-Scope: local. +Scope:global.
-Type: required. +Type:required.
Intent: in.
Specified as: an integer value.
- - ia -
- the indices of the starting vertex of the edges being inserted. +
- vg +
- Data allocation: each index
+ is allocated
+ to process .
+
+Scope:global. +
+Type:optional. +
+Intent: in. +
+Specified as: an integer array. +
+ - flag +
- Specifies whether entries in are zero- or one-based.
+
+Scope:global. +
+Type:optional. +
+Intent: in. +
+Specified as: an integer value, default .
+
++
+ - mg +
- the (global) number of rows of the problem.
-Scope: local. +Scope:global. +
+Type:optional. +
+Intent: in. +
+Specified as: an integer value. It is required ifpartsor +replis specified, it is optional ifvgis 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
+ 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: required. +Type:optional.
Intent: in.
-Specified as: an integer array of length
.
+Specified as: an integer value. May be specified together with
+vl.
- - ja -
- the indices of the end vertex of the edges being inserted. +
- repl +
- Data allocation: build a replicated index space
+ (i.e. all processes own all indices).
-Scope: local. +Scope:global.
-Type: required. +Type:optional.
Intent: in.
-Specified as: an integer array of length.
+Specified as: the logical value .true.
- - mask -
- Mask entries in
ja, they are inserted only when the - correspondingmaskentries are.true.+ - globalcheck +
- Data allocation: do global checks on the local
+ index lists
vl
-Scope: local. +Scope:global.
-Type: optional. +Type:optional.
Intent: in.
-Specified as: a logical array of length, default .true.. +Specified as: a logical value, default:.true. - lidx -
- User defined local indices for
ja. +- Data allocation: the set of local indices +
to be assigned to the global indices .
-Scope: local. +Scope:local.
-Type: optional. +Type:optional.
Intent: in.
-Specified as: an integer array of length.
+Specified as: an integer array.
- Data allocation: the set of local indices +
- desc_a
-- the updated communication descriptor. +
-- the communication descriptor.
@@ -185,75 +251,200 @@ Intent: out.
Scope:local.
Type:required.
-Intent: inout. +Intent: out.
Specified as: a structured data of type descdatapsb_desc_type.
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.
-- jla
-- the local indices of the end vertex of the edges being inserted. -
- Notes
-Scope: local. -
-Type: optional. -
-Intent: out. -
-Specified as: an integer array of length.
+
-
-
-
- This routine may only be called if the descriptor is in the - build state; +
- One of the optional arguments
parts,vg, +vl,nlorreplmust 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
mgas 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; + + +
-
+
- 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
+
+; if 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 + is assigned to process .
+ The vector vgmust be identical on all + calling processes; its entries may have the ranges
+ or according to the value of flag. + The size may be specified via the optional argument mg; + the default is to use the entire vectorvg, 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 is given by
+ the range of the aggregate of the individual vectors vlspecified + in the calling processes. The size may be specified via the optional + argumentnl; the default is to use the entire vector +vl, thus havingnl=size(vl). + Ifglobalcheck=.true.the subroutine will check how many + times each entry in the global index space is
+ specified in the input lists vl, thus allowing for the + presence of overlap in the input, and checking for ``orphan'' + indices. Ifglobalcheck=.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
lidxis 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 argumentlidxthe user + would also likely employlidxin calls topsb_cdins+ andlocalin calls topsb_spinsandpsb_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 gets assigned a consecutive chunk of 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. + +
+ - On exit from this routine the descriptor is in the build + state. -
- 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. +
- Calling the routine with
vgorpartsimplies that + every process will scan the entire index space to figure out the + local indices.
- - The second form of this routine will be useful when dealing with - user-specified index mappings; see also 2.3.1. +
- Overlapped indices are possible with both
partsand +vlinvocations. +
+ - When the subroutine is invoked with
vlin + conjunction withglobalcheck=.true., it will perform a scan + of the index space to search for overlap or orphan indices. +
+ - When the subroutine is invoked with
vlin + conjunction withglobalcheck=.false., no index space scan + will take place. Thus it is the responsibility of the user to make + sure that the indices specified invlhave neither orphans nor + overlaps; if this assumption fails, results will be + unpredictable. +
+ - Orphan and overlap indices are
+ impossible by construction when the subroutine is invoked with
+
nl(alone), orvg.
-
-
+
-
-
- Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates - Next: psb_cdins Communication + Up: Data management routines + Previous: Data management routines + Contents diff --git a/docs/html/node7.html b/docs/html/node7.html index efd760c7..eefdd36a 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -1,6 +1,6 @@ - -
-
-
-
- Next: Next: Programming model - Up: Up: Application structure - Previous: Previous: Application structure - Contents
diff --git a/docs/html/node70.html b/docs/html/node70.html index bd9437d9..ad99a181 100644 --- a/docs/html/node70.html +++ b/docs/html/node70.html @@ -1,84 +1,160 @@ - -psb_cdasb -- Communication descriptor assembly routine - +psb_cdins -- Communication descriptor insert routine + - + - + -
-
+
-
-
- Next: psb_cdcpy Copies - Up: Data management routines - Previous: psb_cdins Communication - Next: psb_cdasb Communication + Up: Data management routines + Previous: psb_cdall Allocates + Contents
--psb_cdasb -- Communication descriptor assembly +
+psb_cdins -- Communication descriptor insert routine
-call psb_cdasb(desc_a, info) +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
; the starting index should
+belong to the current process.
+In the second form only the remote indices are specified.
+
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
- -
- desc_a -
- the communication descriptor. +
- nz +
- the number of points being inserted.
-Scope:local. +Scope: local.
-Type:required. +Type: required.
-Intent: inout. +Intent: in.
-Specified as: a structured data of type descdatapsb_desc_type. +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.
+
+ - 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.
+
+ - mask +
- Mask entries in
ja, they are inserted only when the + correspondingmaskentries are.true.+
+Scope: local. +
+Type: optional. +
+Intent: in. +
+Specified as: a logical array of length, default .true.. +
+ - lidx +
- User defined local indices for
ja. +
+Scope: local. +
+Type: optional. +
+Intent: in. +
+Specified as: an integer array of length.
- desc_a
-- the communication descriptor. +
- the updated communication descriptor.
+
Scope:local.
@@ -109,17 +185,77 @@ 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.
+- jla
+- the local indices of the end vertex of the edges being inserted. +
Notes
+Scope: local. +
+Type: optional. +
+Intent: out. +
+Specified as: an integer array of length.
+
++
-
-
- On exit from this routine the descriptor is in the assembled - state. +
- This routine may only be called if the descriptor is in the + build state; + +
- 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. + +
- The second form of this routine will be useful when dealing with + user-specified index mappings; see also 2.3.1.
-
+
+ + +
+
+
+
+
+
+
+
+ Next: psb_cdasb Communication + Up: Data management routines + Previous: psb_cdall Allocates + Contents + diff --git a/docs/html/node71.html b/docs/html/node71.html index 44aa518a..cccc9a31 100644 --- a/docs/html/node71.html +++ b/docs/html/node71.html @@ -1,85 +1,84 @@ - -psb_cdcpy -- Copies a communication descriptor - +psb_cdasb -- Communication descriptor assembly routine + - + - + -
-
+
-
-
- Next: psb_cdfree Frees - Up: Data management routines - Previous: psb_cdasb Communication - Next: psb_cdcpy Copies + Up: Data management routines + Previous: psb_cdins Communication + Contents
--psb_cdcpy -- Copies a communication descriptor +
+psb_cdasb -- Communication descriptor assembly + routine
-call psb_cdcpy(desc_in, desc_out, info) +call psb_cdasb(desc_a, info)
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
- -
- desc_in +
- desc_a
- the communication descriptor.
Scope:local.
Type:required.
-Intent: in. +Intent: inout.
Specified as: a structured data of type descdatapsb_desc_type. - -
- On Return
- desc_out
-- the communication descriptor copy. +
- desc_a
+- the communication descriptor.
@@ -111,6 +110,13 @@ Intent: out. An integer value; 0 means no error has been detected. +Notes + +
Scope:local.
Type:required.
-Intent: out. +Intent: inout.
Specified as: a structured data of type descdatapsb_desc_type.-
+
- On exit from this routine the descriptor is in the assembled + state. + +
diff --git a/docs/html/node72.html b/docs/html/node72.html index eb76cda2..352674fa 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -1,83 +1,85 @@ - -psb_cdfree -- Frees a communication descriptor - +psb_cdcpy -- Copies a communication descriptor + - + - + -
-
+
-
-
- Next: psb_cdbldext Build - Up: Data management routines - Previous: psb_cdcpy Copies - Next: psb_cdfree Frees + Up: Data management routines + Previous: psb_cdasb Communication + Contents
--psb_cdfree -- Frees a communication descriptor +
+psb_cdcpy -- Copies a communication descriptor
-call psb_cdfree(desc_a, info) +call psb_cdcpy(desc_in, desc_out, info)
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
- -
- desc_a -
- the communication descriptor to be freed. +
- desc_in +
- the communication descriptor.
Scope:local.
Type:required.
-Intent: inout. +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.
diff --git a/docs/html/node73.html b/docs/html/node73.html index 9ab411cb..0a34ccd6 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -1,70 +1,66 @@ - -psb_cdbldext -- Build an extended communication descriptor - +psb_cdfree -- Frees a communication descriptor + - + - + -
-
+
-
-
- Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees - Next: psb_cdbldext Build + Up: Data management routines + Previous: psb_cdcpy Copies + Contents
--psb_cdbldext -- Build an extended communication - descriptor +
+psb_cdfree -- Frees a communication descriptor
-call psb_cdbldext(a,desc_a,nl,desc_out, info, extype) +call psb_cdfree(desc_a, info)
-This subroutine builds an extended communication descriptor, based on -the input descriptor
desc_aand on the stencil specified -through the input sparse matrixa.- Type:
- Synchronous.
@@ -72,54 +68,16 @@ through the input sparse matrix
a. - On Entry
- -
- a -
- A sparse matrix
-Scope:local.
-
-Type:required. -
-Intent: in. -
-Specified as: a structured data type. - - desc_a -
- the communication descriptor.
+
- the communication descriptor to be freed.
-
Scope:local.
Type:required.
-Intent: in. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. - - the communication descriptor to be freed.
- nl -
- the number of additional layers desired.
-
-Scope:global. -
-Type:required. -
-Intent: in. -
-Specified as: an integer value
.
-
- - extype -
- the kind of estension required.
-
-Scope:global. -
-Type:optional . -
-Intent: in. +Intent: inout.
-Specified as: an integer value -psb_ovt_xhal_,psb_ovt_asov_, default:psb_ovt_xhal_- -+Specified as: a structured data of type descdatapsb_desc_type.
- 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.
@@ -153,48 +100,7 @@ An integer value; 0 means no error has been detected.-Notes - -
-
-
- Specifying
psb_ovt_xhal_for theextypeargument - 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; -
- - Specifying
psb_ovt_asov_for theextypeargument - 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. -
-
-
- - -
-
-
-
-
-
-
-
- Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees - Contents - +
diff --git a/docs/html/node74.html b/docs/html/node74.html index 2811d33c..88877c4f 100644 --- a/docs/html/node74.html +++ b/docs/html/node74.html @@ -1,66 +1,70 @@ - -psb_spall -- Allocates a sparse matrix - +psb_cdbldext -- Build an extended communication descriptor + - + - + -
-
+
-
-
- Next: psb_spins Insert - Up: Data management routines - Previous: psb_cdbldext Build - Next: psb_spall Allocates + Up: Data management routines + Previous: psb_cdfree Frees + Contents
--psb_spall -- Allocates a sparse matrix +
+psb_cdbldext -- Build an extended communication + descriptor
-call psb_spall(a, desc_a, info, nnz) +call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)
+This subroutine builds an extended communication descriptor, based on +the input descriptor
desc_aand on the stencil specified +through the input sparse matrixa.- Type:
- Synchronous. @@ -68,6 +72,16 @@ call psb_spall(a, desc_a, info, nnz)
- On Entry
- +
- a +
- A sparse matrix
+Scope:local.
+
+Type:required. +
+Intent: in. +
+Specified as: a structured data type. + - desc_a
- the communication descriptor.
@@ -77,19 +91,35 @@ Type:required.
Intent: in.
-Specified as: a structured data of type descdatapsb_desc_type. +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.
- - nnz -
- An estimate of the number of nonzeroes in the local - part of the assembled matrix. +
- extype +
- the kind of estension required.
-Scope: global. +Scope:global.
-Type: optional. +Type:optional .
Intent: in.
-Specified as: an integer value. +Specified as: an integer value +psb_ovt_xhal_,psb_ovt_asov_, default:psb_ovt_xhal_+ +
- On Return
- a
-- the matrix to be allocated. +
- desc_out
+- the extended communication descriptor.
-Scope:local +Scope:local.
-Type:required +Type:required.
-Intent: out. +Intent: inout.
-Specified as: a structured data of type spdatapsb_Tspmat_type. +Specified as: a structured data of type descdatapsb_desc_type.- info
- Error code. @@ -121,47 +151,48 @@ Intent: out. An integer value; 0 means no error has been detected.
+ +Notes
-
-
- On exit from this routine the sparse matrix is in the build - state. - -
- The descriptor may be in either the build or assembled state. +
- Specifying
psb_ovt_xhal_for theextypeargument + 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;
- - Providing a good estimate for the number of nonzeroes
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.
+ - Specifying
psb_ovt_asov_for theextypeargument + 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.
-
-
+
-
-
- Next: psb_spins Insert - Up: Data management routines - Previous: psb_cdbldext Build - Next: psb_spall Allocates + Up: Data management routines + Previous: psb_cdfree Frees + Contents diff --git a/docs/html/node75.html b/docs/html/node75.html index bfa9fd5e..7e38fe06 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -1,101 +1,75 @@ - -psb_spins -- Insert a cloud of elements into a sparse matrix - +psb_spall -- Allocates a sparse matrix + - + - + -
-
+
-
-
- Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates - Next: psb_spins Insert + Up: Data management routines + Previous: psb_cdbldext Build + Contents
--psb_spins -- Insert a cloud of elements into a sparse - matrix +
+psb_spall -- Allocates a sparse matrix
-call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) +call psb_spall(a, desc_a, info, nnz)
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
- -
- nz -
- the number of elements to be inserted.
-
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer scalar. -
- - ia -
- the row indices of the elements to be inserted.
-
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer array of size.
-
- - ja -
- the column indices of the elements to be inserted. +
- desc_a +
- the communication descriptor.
Scope:local.
@@ -103,51 +77,19 @@ Type:required.
Intent: in.
-Specified as: an integer array of size.
+Specified as: a structured data of type descdatapsb_desc_type.
- - val -
- the elements to be inserted. +
- nnz +
- An estimate of the number of nonzeroes in the local
+ part of the assembled matrix.
-Scope:local. +Scope: global.
-Type:required. +Type: optional.
Intent: in.
-Specified as: an array of size. Must be of the same type and kind
-of the coefficients of the sparse matrix 
.
-
- - 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, -jaare already in local numbering. -
-Scope:local. -
-Type:optional. -
-Specified as: a logical value; default:.false.. - -+Specified as: an integer value.
.false..- a
-- the matrix into which elements will be inserted. +
- the matrix to be allocated.
-
Scope:local
Type:required
-Intent: inout. +Intent: out.
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.
- -
@@ -190,84 +121,47 @@ Intent: out. An integer value; 0 means no error has been detected.Notes
-
-
- On entry to this routine the descriptor may be in either the - build or assembled state. - -
- On entry to this routine the sparse matrix may be in either the - build or update state. - -
- 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_cdinsto 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; -
- - The coefficients to be inserted are represented by the ordered
- triples
-
, for 
; these triples
- should belong to the current process, i.e. should be one of
- the local indices, but are otherwise arbitrary;
-
- - 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; - -
- Coefficients from different rows may also be mixed up freely - in a single call, according to the application needs; - -
- Any coefficients from matrix rows not owned by the calling - process are silently ignored; +
- On exit from this routine the sparse matrix is in the build + state. -
- If the descriptor is in the assembled state, then any entries in - the sparse matrix that would generate additional communication - requirements are ignored; +
- The descriptor may be in either the build or assembled state. -
- If the matrix is in the update state, any entries in positions - that were not present in the original matrix are ignored. +
- Providing a good estimate for the number of nonzeroes 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.
-
-
+
-
-
- Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates - Next: psb_spins Insert + Up: Data management routines + Previous: psb_cdbldext Build + Contents diff --git a/docs/html/node76.html b/docs/html/node76.html index 98599659..8b1f9749 100644 --- a/docs/html/node76.html +++ b/docs/html/node76.html @@ -1,75 +1,76 @@ - -psb_spasb -- Sparse matrix assembly routine - +psb_spins -- Insert a cloud of elements into a sparse matrix + - + - + -
-
+
-
-
- Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert - Next: psb_spasb Sparse + Up: Data management routines + Previous: psb_spall Allocates + Contents
--psb_spasb -- Sparse matrix assembly routine +
+psb_spins -- Insert a cloud of elements into a sparse + matrix
-call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold) +call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
- -
- desc_a -
- the communication descriptor. +
- nz +
- the number of elements to be inserted.
Scope:local.
@@ -77,52 +78,76 @@ Type:required.
Intent: in.
-Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an integer scalar.
- - afmt -
- the storage format for the sparse matrix. +
- ia +
- the row indices of the elements to be inserted.
-Scope: local. +Scope:local.
-Type: optional. +Type:required.
Intent: in.
-Specified as: an array of characters. Defalt: 'CSR'. +Specified as: an integer array of size.
- - upd -
- Provide for updates to the matrix coefficients. +
- ja +
- the column indices of the elements to be inserted.
-Scope: global. +Scope:local.
-Type: optional. +Type:required.
Intent: in.
-Specified as: integer, possible values:psb_upd_srch_,psb_upd_perm_+Specified as: an integer array of size.
- - dupl -
- How to handle duplicate coefficients. +
- val +
- the elements to be inserted.
-Scope: global. +Scope:local.
-Type: optional. +Type:required.
Intent: in.
-Specified as: integer, possible values:psb_dupl_ovwrt_, -psb_dupl_add_,psb_dupl_err_. +Specified as: an array of size. Must be of the same type and kind
+of the coefficients of the sparse matrix .
- - mold -
- The desired dynamic type for the internal matrix storage. +
- desc_a +
- The communication descriptor.
-Scope: local. +Scope: local.
-Type: optional. +Type: required.
-Intent: in. +Intent: inout. +
+Specified as: a variable of type descdatapsb_desc_type. +
+ - local +
- Whether the entries in the indices vectors
ia, +jaare already in local numbering. +
+Scope:local.
-Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. +Type:optional. +
+Specified as: a logical value; default:.false.. + +
- a
-- the matrix to be assembled. +
- the matrix into which elements will be inserted.
+
Scope:local
@@ -142,6 +167,17 @@ 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.
@@ -159,51 +195,79 @@ An integer value; 0 means no error has been detected. Notes-
-
- On entry to this routine the descriptor must be in the
- assembled state, i.e.
psb_cdasbmust already have been called. + - On entry to this routine the descriptor may be in either the + build or assembled state. + +
- On entry to this routine the sparse matrix may be in either the + build or update state. + +
- 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_cdinsto 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; +
+ - The coefficients to be inserted are represented by the ordered
+ triples
+, for ; these triples
+ should belong to the current process, i.e. should be one of
+ the local indices, but are otherwise arbitrary;
-
- The sparse matrix may be in either the build or update state; +
- 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; -
- 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; +
- Coefficients from different rows may also be mixed up freely + in a single call, according to the application needs; -
- If the update choice is
psb_upd_perm_, then subsequent - calls topsb_spinsto 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; + - Any coefficients from matrix rows not owned by the calling + process are silently ignored; -
- The output storage format need not be the same on all - processes; +
- If the descriptor is in the assembled state, then any entries in + the sparse matrix that would generate additional communication + requirements are ignored; -
- On exit from this routine the matrix is in the assembled state, - and thus is suitable for the computational routines. +
- If the matrix is in the update state, any entries in positions + that were not present in the original matrix are ignored.
-
-
+
-
-
- Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert - Next: psb_spasb Sparse + Up: Data management routines + Previous: psb_spall Allocates + Contents diff --git a/docs/html/node77.html b/docs/html/node77.html index 90b442cc..c9730e44 100644 --- a/docs/html/node77.html +++ b/docs/html/node77.html @@ -1,63 +1,63 @@ - -psb_spfree -- Frees a sparse matrix - +psb_spasb -- Sparse matrix assembly routine + - + - + -
-
+
-
-
- Next: psb_sprn Reinit - Up: Data management routines - Previous: psb_spasb Sparse - Next: psb_spfree Frees + Up: Data management routines + Previous: psb_spins Insert + Contents
--psb_spfree -- Frees a sparse matrix +
+psb_spasb -- Sparse matrix assembly routine
-call psb_spfree(a, desc_a, info) +call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
@@ -68,17 +68,6 @@ call psb_spfree(a, desc_a, info)
- 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.
+
@@ -90,6 +79,51 @@ 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. +@@ -97,6 +131,17 @@ Specified as: a structured data of type descdatapsb_desc_type.
- 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.
@@ -111,7 +156,56 @@ An integer value; 0 means no error has been detected.-
+Notes + +-
+
- On entry to this routine the descriptor must be in the
+ assembled state, i.e.
psb_cdasbmust already have been called. +
+ - The sparse matrix may be in either the build or update state; + +
- 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; + +
- If the update choice is
psb_upd_perm_, then subsequent + calls topsb_spinsto 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; +
+ - The output storage format need not be the same on all + processes; + +
- On exit from this routine the matrix is in the assembled state, + and thus is suitable for the computational routines. + +
+
+ + +
+
+
+
+
+
+
+
+ Next: psb_spfree Frees + Up: Data management routines + Previous: psb_spins Insert + Contents + diff --git a/docs/html/node78.html b/docs/html/node78.html index b6ba441a..4cca5867 100644 --- a/docs/html/node78.html +++ b/docs/html/node78.html @@ -1,64 +1,63 @@ - -psb_sprn -- Reinit sparse matrix structure for psblas routines. - +psb_spfree -- Frees a sparse matrix + - + - + -
-
+
-
-
- Next: psb_geall Allocates - Up: Data management routines - Previous: psb_spfree Frees - Next: psb_sprn Reinit + Up: Data management routines + Previous: psb_spasb Sparse + Contents
--psb_sprn -- Reinit sparse matrix structure for psblas - routines. +
+psb_spfree -- Frees a sparse matrix
-call psb_sprn(a, decsc_a, info, clear) +call psb_spfree(a, desc_a, info)
@@ -70,7 +69,7 @@ call psb_sprn(a, decsc_a, info, clear)
- a
-- the matrix to be reinitialized. +
- the matrix to be freed.
-
Scope:local
@@ -91,17 +90,6 @@ 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. -@@ -121,13 +109,6 @@ Intent: out. An integer value; 0 means no error has been detected. -Notes - -
-
-
- On exit from this routine the sparse matrix is in the update - state. - -
diff --git a/docs/html/node79.html b/docs/html/node79.html index 2ed1fab0..4c8ae0ad 100644 --- a/docs/html/node79.html +++ b/docs/html/node79.html @@ -1,63 +1,64 @@ - -psb_geall -- Allocates a dense matrix - +psb_sprn -- Reinit sparse matrix structure for psblas routines. + - + - + -
-
+
-
-
- Next: psb_geins Dense - Up: Data management routines - Previous: psb_sprn Reinit - Next: psb_geall Allocates + Up: Data management routines + Previous: psb_spfree Frees + Contents
--psb_geall -- Allocates a dense matrix +
+psb_sprn -- Reinit sparse matrix structure for psblas + routines.
-call psb_geall(x, desc_a, info, n, lb) +call psb_sprn(a, decsc_a, info, clear)
@@ -68,52 +69,38 @@ call psb_geall(x, desc_a, info, n, lb)
- On Entry
- desc_a
-- The communication descriptor. +
- a
+- the matrix to be reinitialized.
-
-Scope: local +Scope:local
-Type: required +Type:required
-Intent: in. +Intent: inout.
-Specified as: a variable of type descdatapsb_desc_type. -- n
-- The number of columns of the dense matrix to be allocated. +Specified as: a structured data of type spdatapsb_Tspmat_type. +
+- desc_a
+- the communication descriptor.
-
-Scope: local +Scope:local.
-Type: optional +Type:required.
Intent: in.
-Specified as: Integer scalar, default
. It is not a valid argument if is a
-rank-1 array.
+Specified as: a structured data of type descdatapsb_desc_type.
- lb
-- The lower bound for the column index range of the dense matrix to be allocated. +
- clear
+- Choose whether to zero out matrix coefficients
@@ -122,18 +109,6 @@ rank-1 array.
-Scope: local +Scope:local.
-Type: optional +Type:optional.
Intent: in.
-Specified as: Integer scalar, default. It is not a valid argument if is a
-rank-1 array.
+Default: true.
- 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.
+Notes +
@@ -146,32 +121,15 @@ Intent: out. An integer value; 0 means no error has been detected.-
+
- On exit from this routine the sparse matrix is in the update + state. + +
-
- - -
-
-
-
-
-
-
-
- Next: psb_geins Dense - Up: Data management routines - Previous: psb_sprn Reinit - Contents - +
diff --git a/docs/html/node8.html b/docs/html/node8.html index 46f593a7..8412a3e4 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -1,6 +1,6 @@ - -
-
-
-
- Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings - Contents
@@ -96,26 +96,26 @@ as:
-
-
-
-
- Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings - Contents diff --git a/docs/html/node80.html b/docs/html/node80.html index 6e893046..4d356579 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -1,154 +1,119 @@ - -psb_geins -- Dense matrix insertion routine - +psb_geall -- Allocates a dense matrix + - + - + -
-
+
-
-
- Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates - Next: psb_geins Dense + Up: Data management routines + Previous: psb_sprn Reinit + Contents
--psb_geins -- Dense matrix insertion routine +
+psb_geall -- Allocates a dense matrix
-call psb_geins(m, irw, val, x, desc_a, info [,dupl,local]) +call psb_geall(x, desc_a, info, n, lb)
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
- -
- m -
- Number of rows in
to be inserted.
-
-Scope:local. -
-Type:required. -
-Intent: in. -
-Specified as: an integer value. -
- - irw -
- Indices of the rows to be inserted. Specifically, row
- of will be inserted into the local row corresponding to the
- global row index
.
-Scope:local.
-
-Type:required. -
-Intent: in. -
-Specified as: an integer array. -
- - val -
- the dense submatrix to be inserted. +
- desc_a +
- The communication descriptor.
-Scope:local. +Scope: local
-Type:required. +Type: required
Intent: in.
-Specified as: a rank 1 or 2 array. -Specified as: an integer value. -
- - desc_a -
- the communication descriptor.
+Specified as: a variable of type descdatapsb_desc_type.
+
- n +
- The number of columns of the dense matrix to be allocated.
-Scope:local. +Scope: local
-Type:required. +Type: optional
Intent: in.
-Specified as: a structured data of type descdatapsb_desc_type. +Specified as: Integer scalar, default. It is not a valid argument if is a
+rank-1 array.
- - dupl -
- How to handle duplicate coefficients. +
- lb +
- The lower bound for the column index range of the dense matrix to be allocated.
-Scope: global. +Scope: local
-Type: optional. +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.. - -+Specified as: Integer scalar, default
. It is not a valid argument if is a
+rank-1 array.
.false..- x
-- the output dense matrix. +
- The dense matrix to be allocated.
Scope: local
Type: required
-Intent: inout. +Intent: out.
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type, of -type real, complex or integer. +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. @@ -182,40 +147,29 @@ An integer value; 0 means no error has been detected.
--Notes - -
-
-
- Dense vectors/matrices do not have an associated state; - -
- Duplicate entries are either overwritten or added, there is no - provision for raising an error condition. - -
-
-
+
-
-
- Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates - Next: psb_geins Dense + Up: Data management routines + Previous: psb_sprn Reinit + Contents diff --git a/docs/html/node81.html b/docs/html/node81.html index 689f0e09..7a30970a 100644 --- a/docs/html/node81.html +++ b/docs/html/node81.html @@ -1,98 +1,154 @@ - -psb_geasb -- Assembly a dense matrix - +psb_geins -- Dense matrix insertion routine + - + - + -
-
+
-
-
- Next: psb_gefree Frees - Up: Data management routines - Previous: psb_geins Dense - Next: psb_geasb Assembly + Up: Data management routines + Previous: psb_geall Allocates + Contents
--psb_geasb -- Assembly a dense matrix +
+psb_geins -- Dense matrix insertion routine
-call psb_geasb(x, desc_a, info, mold) +call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
- +
- m +
- Number of rows in to be inserted.
+
+Scope:local. +
+Type:required. +
+Intent: in. +
+Specified as: an integer value. +
+ - irw +
- Indices of the rows to be inserted. Specifically, row
+ of will be inserted into the local row corresponding to the
+ global row index .
+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.
+
- the communication descriptor.
-
-Scope: local +Scope:local.
-Type: required +Type:required.
Intent: in.
-Specified as: a variable of type descdatapsb_desc_type. - - the communication descriptor.
- mold -
- The desired dynamic type for the internal vector storage. +Specified as: a structured data of type descdatapsb_desc_type. + +
- dupl +
- How to handle duplicate coefficients.
-Scope: local. +Scope: global.
Type: optional.
Intent: in.
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is -only allowed when is of type vdatapsb_T_vect_type.
+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.. + +
- x
-- The dense matrix to be assembled. +
- the output dense matrix.
Scope: local
@@ -110,8 +166,8 @@ 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. +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. @@ -125,7 +181,43 @@ Intent: out. An integer value; 0 means no error has been detected.
-
+ ++Notes + +
-
+
- Dense vectors/matrices do not have an associated state; + +
- Duplicate entries are either overwritten or added, there is no + provision for raising an error condition. + +
+
+ + +
+
+
+
+
+
+
+
+ Next: psb_geasb Assembly + Up: Data management routines + Previous: psb_geall Allocates + Contents + diff --git a/docs/html/node82.html b/docs/html/node82.html index f6eece0d..95a836b9 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -1,63 +1,63 @@ - -psb_gefree -- Frees a dense matrix - +psb_geasb -- Assembly a dense matrix + - + - + -
-
+
-
-
- Next: psb_gelp Applies - Up: Data management routines - Previous: psb_geasb Assembly - Next: psb_gefree Frees + Up: Data management routines + Previous: psb_geins Dense + Contents
--psb_gefree -- Frees a dense matrix +
+psb_geasb -- Assembly a dense matrix
-call psb_gefree(x, desc_a, info) +call psb_geasb(x, desc_a, info, mold)
@@ -68,21 +68,6 @@ call psb_gefree(x, desc_a, info)
- 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.
+
@@ -94,6 +79,21 @@ 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 is of type vdatapsb_T_vect_type.
+@@ -101,6 +101,18 @@ Specified as: a variable of type descdatapsb_desc_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.
- -
@@ -113,8 +125,6 @@ Intent: out. An integer value; 0 means no error has been detected.
diff --git a/docs/html/node83.html b/docs/html/node83.html index 4d89a965..b1ce437a 100644 --- a/docs/html/node83.html +++ b/docs/html/node83.html @@ -1,118 +1,98 @@ - -psb_gelp -- Applies a left permutation to a dense matrix - +psb_gefree -- Frees a dense matrix + - + - + -
-
+
-
-
- Next: psb_glob_to_loc Global - Up: Data management routines - Previous: psb_gefree Frees - Next: psb_gelp Applies + Up: Data management routines + Previous: psb_geasb Assembly + Contents
--psb_gelp -- Applies a left permutation to a dense - matrix +
+psb_gefree -- Frees a dense matrix
-call psb_gelp(trans, iperm, x, info) +call psb_gefree(x, desc_a, info)
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
- -
- trans -
- A character that specifies whether to permute or
.
+ - x +
- The dense matrix to
+ be freed.
Scope: local
Type: required
-Intent: in. -
-Specified as: a single character with value 'N' for or 'T' for .
-
- - iperm -
- An integer array containing permutation information.
-
-Scope: local -
-Type: required +Intent: inout.
-Intent: in. +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.
-Specified as: an integer one-dimensional array. -
- - x -
- The dense matrix to be permuted.
+
+
+ - desc_a +
- The communication descriptor.
Scope: local
Type: required
-Intent: inout. +Intent: in.
-Specified as: a one or two dimensional array. +Specified as: a variable of type descdatapsb_desc_type.
psb_glob_to_loc -- Global to local indices convertion - +psb_gelp -- Applies a left permutation to a dense matrix + - + - + -
-
+
-
-
- Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies - Next: psb_glob_to_loc Global + Up: Data management routines + Previous: psb_gefree Frees + Contents
--psb_glob_to_loc -- Global to local indices - convertion +
+psb_gelp -- Applies a left permutation to a dense + matrix
-call psb_glob_to_loc(x, y, desc_a, info, iact,owned) -call psb_glob_to_loc(x, desc_a, info, iact,owned) +call psb_gelp(trans, iperm, x, info)
@@ -70,51 +69,51 @@ call psb_glob_to_loc(x, desc_a, info, iact,owned)
- On Entry
- x
-- An integer vector of indices to be converted. +
- trans
+- A character that specifies whether to permute
- or .
Scope: local
Type: required
-Intent: in, inout. +Intent: in.
-Specified as: a rank one integer array. +Specified as: a single character with value 'N' for or 'T' for .
- desc_a
-- the communication descriptor. +
- iperm
+- An integer array containing permutation information.
-
-Scope:local. +Scope: local
-Type:required. +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: an integer one-dimensional array. +- x
+- The dense matrix to be permuted.
-
-Specified as: a character variableIgnore,Warning or -Abort, defaultIgnore. -- owned
-- Specfies valid range of input -Scope: global +Scope: local
+Specified as: a one or two dimensional array. +
-Type: optional +Type: required
-Intent: in. +Intent: inout.
-If true, then only indices strictly owned by the current process are -considered valid, if false then halo indices are also -accepted. Default: false. -
@@ -122,44 +121,6 @@ accepted. Default: false.
- On Return
- x
-- If
- is not present,
- then is overwritten with the translated integer indices.
-Scope: global
-
-Type: required -
-Intent: inout. -
-Specified as: a rank one integer array. -- y
-- If
is present,
- then is overwritten with the translated integer indices, and
- is left unchanged.
-Scope: global
-
-Type: optional -
-Intent: out. -
-Specified as: a rank one integer array. -- info
- Error code.
+
@@ -174,42 +135,7 @@ An integer value; 0 means no error has been detected.-Notes - -
-
-
- If an input index is out of range, then the corresponding output - index is set to a negative number; - -
- The default
Ignore means that the negative output is the - only action taken on an out-of-range input. -
-
-
- - -
-
-
-
-
-
-
-
- Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies - Contents - +
diff --git a/docs/html/node85.html b/docs/html/node85.html index 57561a74..5fd8c522 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -1,65 +1,65 @@ - -psb_loc_to_glob -- Local to global indices conversion - +psb_glob_to_loc -- Global to local indices convertion + - + - + -
-
+
-
-
- Next: psb_is_owned - Up: Data management routines - Previous: psb_glob_to_loc Global - Next: psb_loc_to_glob Local + Up: Data management routines + Previous: psb_gelp Applies + Contents
--psb_loc_to_glob -- Local to global indices - conversion +
+psb_glob_to_loc -- Global to local indices + convertion
-call psb_loc_to_glob(x, y, desc_a, info, iact) -call psb_loc_to_glob(x, desc_a, info, iact) +call psb_glob_to_loc(x, y, desc_a, info, iact,owned) +call psb_glob_to_loc(x, desc_a, info, iact,owned)
@@ -103,6 +103,18 @@ Intent: in. Specified as: a character variable
Ignore,Warning orAbort, defaultIgnore.- 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. +@@ -116,7 +128,7 @@ Specified as: a character variable
Ignore,Warning or SRC="img21.png" ALT="$y$"> is not present, then is overwritten with the translated integer indices.
Scope: global
@@ -131,12 +143,12 @@ Specified as: a rank one integer array.
- If
+ is not present,
+ ALT="$y$"> is present,
then is overwritten with the translated integer indices, and
is left unchanged.
@@ -161,29 +173,41 @@ An integer value; 0 means no error has been detected.
+Notes + +
-
+
- If an input index is out of range, then the corresponding output + index is set to a negative number; + +
- The default
Ignore means that the negative output is the + only action taken on an out-of-range input. +
+
-
-
+
-
-
- Next: psb_is_owned - Up: Data management routines - Previous: psb_glob_to_loc Global - Next: psb_loc_to_glob Local + Up: Data management routines + Previous: psb_gelp Applies + Contents diff --git a/docs/html/node86.html b/docs/html/node86.html index 908692e3..53b9e886 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -1,63 +1,65 @@ - -psb_is_owned -- - +psb_loc_to_glob -- Local to global indices conversion + - + - + -
-
+
-
-
- Next: psb_owned_index - Up: Data management routines - Previous: psb_loc_to_glob Local - Next: psb_is_owned + Up: Data management routines + Previous: psb_glob_to_loc Global + Contents
--psb_is_owned -- +
+psb_loc_to_glob -- Local to global indices + conversion
-call psb_is_owned(x, desc_a) +call psb_loc_to_glob(x, y, desc_a, info, iact) +call psb_loc_to_glob(x, desc_a, info, iact)
@@ -69,15 +71,15 @@ call psb_is_owned(x, desc_a)
- x
-- Integer index. +
- An integer vector of indices to be converted.
Scope: local
Type: required
-Intent: in. +Intent: in, inout.
-Specified as: a scalar integer. +Specified as: a rank one integer array.- desc_a
- the communication descriptor. @@ -90,6 +92,17 @@ 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 variableIgnore,Warning or +Abort, defaultIgnore. +@@ -97,32 +110,82 @@ Specified as: a structured data of type descdatapsb_desc_type.
- On Return
- Function value
-- A logical mask which is true if -
x +
- If
+ is not present,
+ then is owned by the current process
-Scope: local
+ ALT="$x$"> is overwritten with the translated integer indices.
+Scope: global
Type: required
+Intent: inout. +
+Specified as: a rank one integer array. +- y
+- If
+ is not present,
+ then is overwritten with the translated integer indices, and
+ 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 - -
-
-
- This routine returns a
.true.value for an index - that is strictly owned by the current process, excluding the halo - indices -
-
-
+
+ + +
+
+
+
+
+
+
+
+ Next: psb_is_owned + Up: Data management routines + Previous: psb_glob_to_loc Global + Contents + diff --git a/docs/html/node87.html b/docs/html/node87.html index f25a81d2..19396d8b 100644 --- a/docs/html/node87.html +++ b/docs/html/node87.html @@ -1,63 +1,63 @@ - -psb_owned_index -- - +psb_is_owned -- + - + - + -
-
+
-
-
- Next: psb_is_local - Up: Data management routines - Previous: psb_is_owned - Next: psb_owned_index + Up: Data management routines + Previous: psb_loc_to_glob Local + Contents
--psb_owned_index -- +
+psb_is_owned --
-call psb_owned_index(y, x, desc_a, info) +call psb_is_owned(x, desc_a)
@@ -69,15 +69,15 @@ call psb_owned_index(y, x, desc_a, info)
- x
-- Integer indices. +
- Integer index.
Scope: local
Type: required
-Intent: in, inout. +Intent: in.
-Specified as: a scalar or a rank one integer array. +Specified as: a scalar integer.- desc_a
- the communication descriptor. @@ -90,17 +90,6 @@ 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 variableIgnore,Warning or -Abort, defaultIgnore. -@@ -108,39 +97,26 @@ Specified as: a character variable
Ignore,Warning or- On Return
- y
-- A logical mask which is true for all corresponding entries of +
- Function value
+- A logical mask which is true if
- that are owned by the current process
+ ALT="$x$"> is owned by the current process
Scope: local
Type: required
Intent: out. -
-Specified as: a scalar or rank one logical array. -- info
-- Error code. -
+
-Scope: local -
-Type: required -
-Intent: out. -
-An integer value; 0 means no error has been detected. -
Notes
-
-
- This routine returns a
.true.value for those indices - that are strictly owned by the current process, excluding the halo + - This routine returns a
.true.value for an index + that is strictly owned by the current process, excluding the halo indices
psb_is_local -- - +psb_owned_index -- + - + - + -
-
+
-
-
- Next: psb_local_index - Up: Data management routines - Previous: psb_owned_index - Next: psb_is_local + Up: Data management routines + Previous: psb_is_owned + Contents
--psb_is_local -- +
+psb_owned_index --
-call psb_is_local(x, desc_a) +call psb_owned_index(y, x, desc_a, info)
@@ -69,15 +69,15 @@ call psb_is_local(x, desc_a)
- x
-- Integer index. +
- Integer indices.
Scope: local
Type: required
-Intent: in. +Intent: in, inout.
-Specified as: a scalar integer. +Specified as: a scalar or a rank one integer array.- desc_a
- the communication descriptor. @@ -90,6 +90,17 @@ Intent: in.
+
Specified as: a structured data of type descdatapsb_desc_type.- iact
+- specifies action to be taken in case of range errors. +Scope: global +
+Type: optional +
+Intent: in. +
+Specified as: a character variableIgnore,Warning or +Abort, defaultIgnore. +@@ -97,26 +108,39 @@ Specified as: a structured data of type descdatapsb_desc_type.
- On Return
- Function value
-- A logical mask which is true if +
- y
+- A logical mask which is true for all corresponding entries of
+ is local to the current process
+ ALT="$x$"> that are owned by the current process
Scope: local
Type: required
Intent: out. -
+Specified as: a scalar or rank one logical array. + +- info
+- Error code. +
+Scope: local +
+Type: required +
+Intent: out. +
+An integer value; 0 means no error has been detected. +Notes
-
-
- This routine returns a
.true.value for an index - that is local to the current process, including the halo + - This routine returns a
.true.value for those indices + that are strictly owned by the current process, excluding the halo indices
psb_local_index -- - +psb_is_local -- + - + - + -
-
+
-
-
- Next: psb_get_boundary Extract - Up: Data management routines - Previous: psb_is_local - Next: psb_local_index + Up: Data management routines + Previous: psb_owned_index + Contents
--psb_local_index -- +
+psb_is_local --
-call psb_local_index(y, x, desc_a, info) +call psb_is_local(x, desc_a)
@@ -69,15 +69,15 @@ call psb_local_index(y, x, desc_a, info)
- x
-- Integer indices. +
- Integer index.
Scope: local
Type: required
-Intent: in, inout. +Intent: in.
-Specified as: a scalar or a rank one integer array. +Specified as: a scalar integer.- desc_a
- the communication descriptor. @@ -90,17 +90,6 @@ Intent: in.
-
Specified as: a structured data of type descdatapsb_desc_type.- iact
-- specifies action to be taken in case of range errors. -Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: a character variableIgnore,Warning or -Abort, defaultIgnore. -@@ -108,40 +97,27 @@ Specified as: a character variable
Ignore,Warning or- On Return
- y
-- A logical mask which is true for all corresponding entries of +
- Function value
+- A logical mask which is true if
- that are local to the current process
+ ALT="$x$"> is 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
-
-
- This routine returns a
.true.value for those indices - that are local to the current process, including the halo - indices. + - This routine returns a
.true.value for an index + that is local to the current process, including the halo + indices
-
-
-
- Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model - Contents
@@ -111,123 +111,125 @@ developer's documentation. Subsections-
-
- Descriptor data structure
-
-
- Descriptor Methods -
- get_local_rows -- Get number of local rows -
- get_local_cols -- Get number of local cols -
- get_global_rows -- Get number of global rows -
- get_global_cols -- Get number of global cols -
- get_global_indices -- Get vector of global indices -
- get_context -- Get communication context -
- Clone -- clone current object -
- psb_cd_get_large_threshold -- Get threshold for index mapping switch -
- psb_cd_set_large_threshold -- Set threshold for index mapping switch -
- Named Constants
- - Sparse Matrix class
-
-
- Sparse Matrix Methods -
- get_nrows -- Get number of rows in a sparse matrix -
- get_ncols -- Get number of columns in a sparse matrix -
- get_nnzeros -- Get number of nonzero elements in a sparse matrix -
- get_size -- Get maximum number of nonzero elements in a sparse matrix -
- sizeof -- Get memory occupation in bytes of a sparse matrix -
- get_fmt -- Short description of the dynamic type -
- is_bld, is_upd, is_asb -- Status check -
- is_lower, is_upper, is_triangle, is_unit -- Format check -
- cscnv -- Convert to a different storage format -
- csclip -- Reduce to a submatrix -
- get_diag -- Get main diagonal -
- clip_diag -- Cut out main diagonal -
- tril -- Return the lower triangle -
- triu -- Return the upper triangle -
- psb_set_mat_default -- Set default storage format -
- clone -- Clone current object -
- Named Constants
- - Dense Vector Data Structure
-
-
- Vector Methods -
- get_nrows -- Get number of rows in a dense vector -
- sizeof -- Get memory occupation in bytes of a dense vector -
- get_vect -- Get a copy of the vector contents -
- clone -- Clone current object
- - Preconditioner data structure +
- Heap data structure
-
-
-
-
- Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model - Contents diff --git a/docs/html/node90.html b/docs/html/node90.html index fd5ba0dc..dabf6bfe 100644 --- a/docs/html/node90.html +++ b/docs/html/node90.html @@ -1,64 +1,63 @@ - -psb_get_boundary -- Extract list of boundary elements - +psb_local_index -- + - + - + -
-
+
-
-
- Next: psb_get_overlap Extract - Up: Data management routines - Previous: psb_local_index - Next: psb_get_boundary Extract + Up: Data management routines + Previous: psb_is_local + Contents
--psb_get_boundary -- Extract list of boundary - elements +
+psb_local_index --
-call psb_get_boundary(bndel, desc, info) +call psb_local_index(y, x, desc_a, info)
@@ -69,7 +68,18 @@ call psb_get_boundary(bndel, desc, info)
- On Entry
- desc
+- 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. @@ -80,6 +90,17 @@ 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 variableIgnore,Warning or +Abort, defaultIgnore. +@@ -87,19 +108,20 @@ 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. -
+- y
+- A logical mask which is true for all corresponding entries of +
+Specified as: a scalar or rank one logical array. + that are local to the current process
Scope: local
Type: required
Intent: out.
-Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer. -- info
- Error code.
@@ -117,12 +139,9 @@ An integer value; 0 means no error has been detected. Notes-
-
- 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. - -
- Otherwise the size of
bndelwill be exactly equal to the - number of boundary elements. + - This routine returns a
.true.value for those indices + that are local to the current process, including the halo + indices.
psb_get_overlap -- Extract list of overlap elements - +psb_get_boundary -- Extract list of boundary elements + - + - + -
-
+
-
-
- Next: psb_sp_getrow Extract - Up: Data management routines - Previous: psb_get_boundary Extract - Next: psb_get_overlap Extract + Up: Data management routines + Previous: psb_local_index + Contents
--psb_get_overlap -- Extract list of overlap +
+psb_get_boundary -- Extract list of boundary elements
-call psb_get_overlap(ovrel, desc, info) +call psb_get_boundary(bndel, desc, info)
@@ -87,8 +87,8 @@ Specified as: a structured data of type descdatapsb_desc_type.
- On Return
- ovrel
-- The list of overlap elements on the calling process, in +
- bndel
+- The list of boundary elements on the calling process, in local numbering.
Scope: local @@ -117,11 +117,12 @@ An integer value; 0 means no error has been detected. Notes-
-
- If there are no overlap elements the output vector is set - to the ``not allocated'' state. +
- 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. -
- Otherwise the size of
ovrelwill be exactly equal to the - number of overlap elements. + - Otherwise the size of
bndelwill be exactly equal to the + number of boundary elements.
psb_sp_getrow -- Extract row(s) from a sparse matrix - +psb_get_overlap -- Extract list of overlap elements + - + - + -
-
+
-
-
- Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract - Next: psb_sp_getrow Extract + Up: Data management routines + Previous: psb_get_boundary Extract + Contents
--psb_sp_getrow -- Extract row(s) from a sparse - matrix +
+psb_get_overlap -- Extract list of overlap + elements
-call psb_sp_getrow(row, a, nz, ia, ja, val, info, & - & append, nzin, lrw) +call psb_get_overlap(ovrel, desc, info)
@@ -70,75 +69,16 @@ call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
- On Entry
- row
-- The (first) row to be extracted. +
- desc
+- the communication descriptor.
-
-Scope:local -
-Type:required -
-Intent: in. -
-Specified as: an integer.
-- 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. When append is true, specifies how many
-entries in the output vectors are already filled.
-- lrw
-- The last row to be extracted. -
@@ -147,50 +87,19 @@ Specified as: an integer
-Scope:local +Scope:local.
-Type:optional +Type:required.
Intent: in.
-Specified as: an integer, default: 
.
-
-+Specified as: a structured data of type descdatapsb_desc_type.
On Return
- nz
-- the number of elements returned by this call. +
- ovrel
+- The list of overlap elements on the calling process, in + local numbering.
-
-Scope:local. +Scope: local
-Type:required. +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 theALLOCATABLEattribute. -- ja
-- the column indices of the elements to be inserted. -
-
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: an integer array with theALLOCATABLEattribute. -- val
-- the elements to be inserted. -
+Specified as: a rank one array with the ALLOCATABLE +attribute, of type integer. +
-Scope:local. -
-Type:required. -
-Intent: inout. -
-Specified as: a real array with theALLOCATABLEattribute. -- info
- Error code.
@@ -208,51 +117,16 @@ An integer value; 0 means no error has been detected. Notes-
-
- The output is always the size of the output generated by
- the current call; thus, if
append=.true., the total output - size will be
, with the newly extracted coefficients stored in
- entries nzin+1:nzin+nzof the array arguments; + - If there are no overlap elements the output vector is set + to the ``not allocated'' state. -
- When
append=.true.the output arrays are reallocated as - necessary; -
- - 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_globroutine on the output. + - Otherwise the size of
ovrelwill be exactly equal to the + number of overlap elements.
-
- - -
-
-
-
-
-
-
-
- Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract - Contents - +
diff --git a/docs/html/node93.html b/docs/html/node93.html index 434691eb..87065ba7 100644 --- a/docs/html/node93.html +++ b/docs/html/node93.html @@ -1,68 +1,65 @@ - -psb_sizeof -- Memory occupation - +psb_sp_getrow -- Extract row(s) from a sparse matrix + - + - + -
-
+
-
-
- Next: Sorting utilities - Up: Data management routines - Previous: psb_sp_getrow Extract - Next: psb_sizeof Memory + Up: Data management routines + Previous: psb_get_overlap Extract + Contents
--psb_sizeof -- Memory occupation +
+psb_sp_getrow -- Extract row(s) from a sparse + matrix
--This function computes the memory occupation of a PSBLAS object. -
-isz = psb_sizeof(a) -isz = psb_sizeof(desc_a) -isz = psb_sizeof(prec) +call psb_sp_getrow(row, a, nz, ia, ja, val, info, & + & append, nzin, lrw)
@@ -73,56 +70,189 @@ isz = psb_sizeof(prec)
- On Entry
- row
+- The (first) row to be extracted. +
+Scope:local +
+Type:required +
+Intent: in. +
+Specified as: an integer.
+- a
-- A sparse matrix -
.
+- the matrix from which to get rows.
-
-Scope: local +Scope:local
-Type: required +Type:required
Intent: in.
Specified as: a structured data of type spdatapsb_Tspmat_type.- desc_a
-- Communication descriptor. +
- append
+- Whether to append or overwrite existing output.
+
-Scope: local +Scope:local +
+Type:optional +
+Intent: in. +
+Specified as: a logical value default: false (overwrite). +- nzin
+- Input size to be appended to.
-
-Type: required +Scope:local +
+Type:optional
Intent: in.
-Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an integer. When append is true, specifies how many
+entries in the output vectors are already filled.
- prec
-- Scope: local +
- lrw
+- The last row to be extracted. +
+ + +
+Scope:local
-Type: required +Type:optional
Intent: in.
-Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: an integer, default: .
+
++
- On Return
- -
- Function value -
- The memory occupation of the object specified in - the calling sequence, in bytes. +
- 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 theALLOCATABLEattribute. +
+ - ja +
- the column indices of the elements to be inserted.
+
+Scope:local. +
+Type:required. +
+Intent: inout. +
+Specified as: an integer array with theALLOCATABLEattribute. +
+ - val +
- the elements to be inserted.
+
+Scope:local. +
+Type:required. +
+Intent: inout. +
+Specified as: a real array with theALLOCATABLEattribute. +
+ - info +
- Error code.
Scope: local
-Returned as: aninteger(psb_long_int_k_)number. +Type: required +
+Intent: out. +
+An integer value; 0 means no error has been detected.
-
+Notes + +-
+
- The output is always the size of the output generated by
+ the current call; thus, if
append=.true., the total output + size will be, with the newly extracted coefficients stored in
+ entries nzin+1:nzin+nzof the array arguments; +
+ - When
append=.true.the output arrays are reallocated as + necessary; +
+ - 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_globroutine on the output. +
+
+
+ + +
+
+
+
+
+
+
+
+ Next: psb_sizeof Memory + Up: Data management routines + Previous: psb_get_overlap Extract + Contents + diff --git a/docs/html/node94.html b/docs/html/node94.html index 70075db7..7f6ae923 100644 --- a/docs/html/node94.html +++ b/docs/html/node94.html @@ -1,293 +1,128 @@ - -Sorting utilities -- - +psb_sizeof -- Memory occupation + - + + - + -
-
+
-
-
- Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory - Next: Sorting utilities + Up: Data management routines + Previous: psb_sp_getrow Extract + Contents
--Sorting utilities -- +
+psb_sizeof -- Memory occupation
-psb_msort -- Sorting by the Merge-sort - algorithm - -
-psb_qsort -- Sorting by the Quicksort - algorithm +This function computes the memory occupation of a PSBLAS object.
-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) +isz = psb_sizeof(a) +isz = psb_sizeof(desc_a) +isz = psb_sizeof(prec)
-These serial routines sort a sequence
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 +
- On Entry
- -
- x -
- The sequence to be sorted. +
- a +
- A sparse matrix
+.
-Type:required. +Scope: local
-Specified as: an integer, real or complex array of rank 1. -
- - ix -
- A vector of indices.
+Type: required
-Type:optional. +Intent: in.
-Specified as: an integer array of (at least) the same size as.
+Specified as: a structured data of type spdatapsb_Tspmat_type.
- - dir -
- The desired ordering. +
- desc_a +
- Communication descriptor.
-Type:optional. +Scope: local
-Specified as: an integer value:-
-
- Integer and real data: -
psb_sort_up_, -psb_sort_down_,psb_asort_up_,psb_asort_down_; -defaultpsb_sort_up_. -
-- Complex data: -
psb_lsort_up_, -psb_lsort_down_,psb_asort_up_,psb_asort_down_; -defaultpsb_lsort_up_. -
-
+Intent: in. +
+Specified as: a structured data of type descdatapsb_desc_type.
- - flag -
- Whether to keep the original values in
.
+ - prec +
- Scope: local
-Type:optional. +Type: required
-Specified as: an integer valuepsb_sort_ovw_idx_or -psb_sort_keep_idx_; defaultpsb_sort_ovw_idx_. - -+Intent: in. +
+Specified as: a preconditioner data structure precdatapsb_prec_type.
-
-
- On Return
- -
- x -
- The sequence of values, in the chosen ordering. +
- Function value +
- The memory occupation of the object specified in
+ the calling sequence, in bytes.
-Type:required. +Scope: local
-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.
+Returned as: an integer(psb_long_int_k_)number.
- -
-Notes - -
-
-
- For integer or real data the sorting can be performed in the up/down direction, on the - natural or absolute values; - -
- 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; - -
- 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; - -
- If
-
then the entries in 
- where is the size of are initialized to
-
; thus, upon return from the subroutine, for each
- index we have in 
the position that the item 
- occupied in the original data sequence;
-
- - If
-
the routine will assume that
- the entries in 
have already been initialized by the user;
-
- - The three sorting algorithms have a similar
expected
- running time; in the average case quicksort will be the
- fastest and merge-sort the slowest. However note that:
-
--
-
- The worst case running time for quicksort is
; the algorithm
- implemented here follows the well-known median-of-three heuristics,
- but the worst case may still apply;
-
- - The worst case running time for merge-sort and heap-sort is
- as the average case;
-
-
- 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. - -
- - The worst case running time for quicksort is
- -
-
- - -
-
-
-
-
-
-
-
- Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory - Contents - +
diff --git a/docs/html/node95.html b/docs/html/node95.html index aa4f5420..975a01b0 100644 --- a/docs/html/node95.html +++ b/docs/html/node95.html @@ -1,107 +1,293 @@ - -Parallel environment routines - +Sorting utilities -- + - + - - - + + -
-
+
-
-
- Next: psb_init Initializes - Up: userhtml - Previous: Sorting utilities - 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
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.
+
+ - 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_; +defaultpsb_sort_up_. +
+- Complex data: +
psb_lsort_up_, +psb_lsort_down_,psb_asort_up_,psb_asort_down_; +defaultpsb_lsort_up_. +
+
+ - flag +
- Whether to keep the original values in .
+
+Type:optional. +
+Specified as: an integer valuepsb_sort_ovw_idx_or +psb_sort_keep_idx_; defaultpsb_sort_ovw_idx_. + ++
+
+
-
+
- On Return +
- + +
- x +
- The sequence of values, in the chosen ordering.
+
+Type:required.
-Parallel environment routines - +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.
+
+
-
- -Subsections - --
-
- psb_init -- Initializes PSBLAS parallel - environment -
- psb_info -- Return information about PSBLAS parallel - environment -
- psb_exit -- Exit from PSBLAS parallel - environment -
- psb_get_mpicomm -- Get the MPI communicator -
- psb_get_rank -- Get the MPI rank -
- psb_wtime -- Wall clock timing -
- psb_barrier -- Sinchronization point parallel - environment -
- psb_abort -- Abort a computation -
- psb_bcast -- Broadcast data -
- psb_sum -- Global sum -
- psb_max -- Global maximum -
- psb_min -- Global minimum -
- psb_amx -- Global maximum absolute value -
- psb_amn -- Global minimum absolute value -
- psb_snd -- Send data -
- psb_rcv -- Receive data -
+Notes + +-
+
- For integer or real data the sorting can be performed in the up/down direction, on the + natural or absolute values; + +
- 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; + +
- 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; + +
- If
+ then the entries in
+ where is the size of are initialized to
+; thus, upon return from the subroutine, for each
+ index we have in the position that the item
+ occupied in the original data sequence;
+
+
- If
+ the routine will assume that
+ the entries in have already been initialized by the user;
+
+
- The three sorting algorithms have a similar expected
+ running time; in the average case quicksort will be the
+ fastest and merge-sort the slowest. However note that:
+
+
-
+
- The worst case running time for quicksort is ; the algorithm
+ implemented here follows the well-known median-of-three heuristics,
+ but the worst case may still apply;
+
+
- The worst case running time for merge-sort and heap-sort is
+ as the average case;
+
+
- 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. + +
+ - The worst case running time for quicksort is
+ +
+
+ + +
+
+
+
+
+
+
+
+ Next: Parallel environment routines + Up: Data management routines + Previous: psb_sizeof Memory + Contents + diff --git a/docs/html/node96.html b/docs/html/node96.html index 3810920d..35f96ee4 100644 --- a/docs/html/node96.html +++ b/docs/html/node96.html @@ -1,179 +1,107 @@ - -psb_init -- Initializes PSBLAS parallel environment - +Parallel environment routines + - + - - - + + + -
-
+
-
-
- Next: psb_info Return - Up: Parallel environment routines - Previous: Parallel environment routines - Next: psb_init Initializes + Up: userhtml + Previous: Sorting utilities + 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
npis 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.
-
-
-
-
-
- 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 +
+ +Subsections --
-
- A call to this routine must precede any other PSBLAS call. - -
- It is an error to specify a value for
greater than the
- number of processes available in the underlying base parallel
- environment.
-
-
-
- - -
-
-
-
-
-
-
-
- Next: psb_info Return - Up: Parallel environment routines - Previous: Parallel environment routines - Contents - +-
+
- psb_init -- Initializes PSBLAS parallel + environment +
- psb_info -- Return information about PSBLAS parallel + environment +
- psb_exit -- Exit from PSBLAS parallel + environment +
- psb_get_mpicomm -- Get the MPI communicator +
- psb_get_rank -- Get the MPI rank +
- psb_wtime -- Wall clock timing +
- psb_barrier -- Sinchronization point parallel + environment +
- psb_abort -- Abort a computation +
- psb_bcast -- Broadcast data +
- psb_sum -- Global sum +
- psb_max -- Global maximum +
- psb_min -- Global minimum +
- psb_amx -- Global maximum absolute value +
- psb_amn -- Global minimum absolute value +
- psb_snd -- Send data +
- psb_rcv -- Receive data +
diff --git a/docs/html/node97.html b/docs/html/node97.html index f50df4b7..c1794814 100644 --- a/docs/html/node97.html +++ b/docs/html/node97.html @@ -1,87 +1,115 @@ - -psb_info -- Return information about PSBLAS parallel environment - +psb_init -- Initializes PSBLAS parallel environment + - + - + -
-
+
-
-
- Next: psb_exit Exit - Up: Parallel environment routines - Previous: psb_init Initializes - Next: psb_info Return + Up: Parallel environment routines + Previous: Parallel environment routines + Contents
--psb_info -- Return information about PSBLAS parallel +
+psb_init -- Initializes PSBLAS parallel environment
-call psb_info(icontxt, iam, np) +call psb_init(icontxt, np, basectxt, ids)
-This subroutine returns information about the PSBLAS parallel environment, defining +This subroutine initializes the PSBLAS parallel environment, defining a virtual parallel machine.
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
- -
- icontxt -
- the communication context identifying the virtual - parallel machine. +
- np +
- Number of processes in the PSBLAS virtual parallel machine.
Scope: global.
-Type: required. +Type: optional.
Intent: in.
-Specified as: an integer variable. +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
npis 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.
- On Return
- iam
-- Identifier of current process in the PSBLAS virtual parallel machine. -
-
-Scope: local. -
-Type: required. -
-Intent: out. -
-Specified as: an integer value. -
- np
-- Number of processes in the PSBLAS virtual parallel machine. +
- icontxt
+- the communication context identifying the virtual + parallel machine. Note that this is always a duplicate of +
+Specified as: an integer variable. +basectxt, so that library communications are completely + separated from other communication operations.
Scope: global.
@@ -115,56 +130,48 @@ Type: required.
Intent: out.
-Specified as: an integer variable.Notes
-
-
- For processes in the virtual parallel machine the identifier
- will satisfy
-
;
+ - A call to this routine must precede any other PSBLAS call. -
- If the user has requested on
psb_inita number of - processes less than the total available in the parallel execution - environment, the remaining processes will have on return
;
- the only call involving icontxtthat any such process may - execute is topsb_exit. + - It is an error to specify a value for greater than the
+ number of processes available in the underlying base parallel
+ environment.
-
-
+
-
-
- Next: psb_exit Exit - Up: Parallel environment routines - Previous: psb_init Initializes - Next: psb_info Return + Up: Parallel environment routines + Previous: Parallel environment routines + Contents diff --git a/docs/html/node98.html b/docs/html/node98.html index 8695820e..241a7f4a 100644 --- a/docs/html/node98.html +++ b/docs/html/node98.html @@ -1,72 +1,72 @@ - -psb_exit -- Exit from PSBLAS parallel environment - +psb_info -- Return information about PSBLAS parallel environment + - + - + -
-
+
-
-
- Next: psb_get_mpicomm Get - Up: Parallel environment routines - Previous: psb_info Return - Next: psb_exit Exit + Up: Parallel environment routines + Previous: psb_init Initializes + Contents
--psb_exit -- Exit from PSBLAS parallel +
+psb_info -- Return information about PSBLAS parallel environment
-call psb_exit(icontxt) -call psb_exit(icontxt,close) +call psb_info(icontxt, iam, np)
-This subroutine exits from the PSBLAS parallel virtual machine. +This subroutine returns information about the PSBLAS parallel environment, defining +a virtual parallel machine.
- Type: -
- Synchronous.
+
- Asynchronous.
- On Entry
-
@@ -83,67 +83,88 @@ 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. +
+
-
+
- On Return +
- + +
- iam +
- Identifier of current process in the PSBLAS virtual parallel machine.
+
+Scope: local. +
+Type: required. +
+Intent: out. +
+Specified as: an integer value. +
+ - np +
- Number of processes in the PSBLAS virtual parallel machine.
Scope: global.
-Type: optional. +Type: required.
-Intent: in. +Intent: out.
-Specified as: a logical variable, default value: true. -
+Specified as: an integer variable.
Notes
-
-
- This routine may be called even if a previous call to
-
psb_infohas returned withFor processes in the virtual parallel machine the identifier + will satisfy +
;
+
+ - If the user has requested on
psb_inita number of + processes less than the total available in the parallel execution + environment, the remaining processes will have on return; indeed, it it is the only
- routine that may be called with argument icontxtin this - situation. -
- - A call to this routine with
close=.true.implies a call - toMPI_Finalize, after which no parallel routine may be called. -
- - 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 withclose=.true.to - shutdown in a clean way the entire parallel environment. + ALT="$iam=-1$">; + the only call involvingicontxtthat any such process may + execute is topsb_exit.
-
-
+
-
-
- Next: psb_get_mpicomm Get - Up: Parallel environment routines - Previous: psb_info Return - Next: psb_exit Exit + Up: Parallel environment routines + Previous: psb_init Initializes + Contents diff --git a/docs/html/node99.html b/docs/html/node99.html index b24389b1..4a4369e8 100644 --- a/docs/html/node99.html +++ b/docs/html/node99.html @@ -1,70 +1,72 @@ - -psb_get_mpicomm -- Get the MPI communicator - +psb_exit -- Exit from PSBLAS parallel environment + - + - + -
-
+
-
-
- Next: psb_get_rank Get - Up: Parallel environment routines - Previous: psb_exit Exit - Next: psb_get_mpicomm Get + Up: Parallel environment routines + Previous: psb_info Return + Contents
--psb_get_mpicomm -- Get the MPI communicator +
+psb_exit -- Exit from PSBLAS parallel + environment
-call psb_get_mpicomm(icontxt, icomm) +call psb_exit(icontxt) +call psb_exit(icontxt,close)
-This subroutine returns the MPI communicator associated with a PSBLAS context +This subroutine exits from the PSBLAS parallel virtual machine.
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
-
@@ -81,26 +83,69 @@ Intent: in.
Specified as: an integer variable.
-
-
-
-
- On Return -
- - -
- icomm -
- The MPI communicator associated with the PSBLAS virtual parallel machine. +
- close +
- Whether to close all data structures related to the
+ virtual parallel machine, besides those associated with icontxt.
Scope: global.
-Type: required. +Type: optional. +
+Intent: in.
-Intent: out. -
+Specified as: a logical variable, default value: true.
+
-
+Notes + +-
+
- This routine may be called even if a previous call to
+
psb_infohas returned with; indeed, it it is the only
+ routine that may be called with argument icontxtin this + situation. +
+ - A call to this routine with
close=.true.implies a call + toMPI_Finalize, after which no parallel routine may be called. +
+ - 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 withclose=.true.to + shutdown in a clean way the entire parallel environment. +
+
+
+ + +
+
+
+
+
+
+
+
+ Next: psb_get_mpicomm Get + Up: Parallel environment routines + Previous: psb_info Return + Contents + diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index 617a94d1..0c44952e 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -1,6 +1,6 @@ - @@ -182,219 +184,221 @@ of a dense vector- Preconditioner data structure +
- Heap data structure
-- Computational routines -
- psb_geaxpby -- General Dense Matrix Sum
+ HREF="node49.html">Computational routines
+
- psb_gedot -- Dot Product + HREF="node50.html">psb_geaxpby -- General Dense Matrix Sum
- psb_gedots -- Generalized Dot Product + HREF="node51.html">psb_gedot -- Dot Product
- psb_normi -- Infinity-Norm of Vector + HREF="node52.html">psb_gedots -- Generalized Dot Product
- psb_geamaxs -- Generalized Infinity Norm + HREF="node53.html">psb_normi -- Infinity-Norm of Vector
- psb_norm1 -- 1-Norm of Vector + HREF="node54.html">psb_geamaxs -- Generalized Infinity Norm
- psb_geasums -- Generalized 1-Norm of Vector + HREF="node55.html">psb_norm1 -- 1-Norm of Vector
- psb_norm2 -- 2-Norm of Vector + HREF="node56.html">psb_geasums -- Generalized 1-Norm of Vector
- psb_genrm2s -- Generalized 2-Norm of Vector + HREF="node57.html">psb_norm2 -- 2-Norm of Vector
- psb_norm1 -- 1-Norm of Sparse Matrix + HREF="node58.html">psb_genrm2s -- Generalized 2-Norm of Vector
- psb_normi -- Infinity Norm of Sparse Matrix + HREF="node59.html">psb_norm1 -- 1-Norm of Sparse Matrix
- psb_spmm -- Sparse Matrix by Dense Matrix - Product + HREF="node60.html">psb_normi -- Infinity Norm of Sparse Matrix
- psb_spsm -- Triangular System Solve + HREF="node61.html">psb_spmm -- Sparse Matrix by Dense Matrix + Product +
- psb_spsm -- Triangular System Solve
- - Communication routines
-
- psb_halo -- Halo Data Communication
+ HREF="node63.html">Communication routines
+
- psb_ovrl -- Overlap Update + HREF="node64.html">psb_halo -- Halo Data Communication
- psb_gather -- Gather Global Dense Matrix + HREF="node65.html">psb_ovrl -- Overlap Update
- psb_scatter -- Scatter Global Dense Matrix + HREF="node66.html">psb_gather -- Gather Global Dense Matrix +
- psb_scatter -- Scatter Global Dense Matrix
- - Data management routines
-
- psb_cdall -- Allocates a communication descriptor
+ HREF="node68.html">Data management routines
+
- psb_cdins -- Communication descriptor insert - routine + HREF="node69.html">psb_cdall -- Allocates a communication descriptor
- psb_cdasb -- Communication descriptor assembly + HREF="node70.html">psb_cdins -- Communication descriptor insert routine
- psb_cdcpy -- Copies a communication descriptor + HREF="node71.html">psb_cdasb -- Communication descriptor assembly + routine
- psb_cdfree -- Frees a communication descriptor + HREF="node72.html">psb_cdcpy -- Copies a communication descriptor
- psb_cdbldext -- Build an extended communication - descriptor + HREF="node73.html">psb_cdfree -- Frees a communication descriptor
- psb_spall -- Allocates a sparse matrix + HREF="node74.html">psb_cdbldext -- Build an extended communication + descriptor
- psb_spins -- Insert a cloud of elements into a sparse - matrix + HREF="node75.html">psb_spall -- Allocates a sparse matrix
- psb_spasb -- Sparse matrix assembly routine + HREF="node76.html">psb_spins -- Insert a cloud of elements into a sparse + matrix
- psb_spfree -- Frees a sparse matrix + HREF="node77.html">psb_spasb -- Sparse matrix assembly routine
- psb_sprn -- Reinit sparse matrix structure for psblas - routines. + HREF="node78.html">psb_spfree -- Frees a sparse matrix
- psb_geall -- Allocates a dense matrix + HREF="node79.html">psb_sprn -- Reinit sparse matrix structure for psblas + routines.
- psb_geins -- Dense matrix insertion routine + HREF="node80.html">psb_geall -- Allocates a dense matrix
- psb_geasb -- Assembly a dense matrix + HREF="node81.html">psb_geins -- Dense matrix insertion routine
- psb_gefree -- Frees a dense matrix + HREF="node82.html">psb_geasb -- Assembly a dense matrix
- psb_gelp -- Applies a left permutation to a dense - matrix + HREF="node83.html">psb_gefree -- Frees a dense matrix
- psb_glob_to_loc -- Global to local indices - convertion + HREF="node84.html">psb_gelp -- Applies a left permutation to a dense + matrix
- psb_loc_to_glob -- Local to global indices - conversion + HREF="node85.html">psb_glob_to_loc -- Global to local indices + convertion
- psb_is_owned -- + HREF="node86.html">psb_loc_to_glob -- Local to global indices + conversion
- psb_owned_index -- + HREF="node87.html">psb_is_owned --
- psb_is_local -- + HREF="node88.html">psb_owned_index --
- psb_local_index -- + HREF="node89.html">psb_is_local --
- psb_get_boundary -- Extract list of boundary - elements + HREF="node90.html">psb_local_index --
- psb_get_overlap -- Extract list of overlap + HREF="node91.html">psb_get_boundary -- Extract list of boundary elements
- psb_sp_getrow -- Extract row(s) from a sparse - matrix + HREF="node92.html">psb_get_overlap -- Extract list of overlap + elements
- psb_sizeof -- Memory occupation + HREF="node93.html">psb_sp_getrow -- Extract row(s) from a sparse + matrix
- Sorting utilities -- + HREF="node94.html">psb_sizeof -- Memory occupation +
- Sorting utilities --
- - Parallel environment routines
-
- psb_init -- Initializes PSBLAS parallel
- environment
+ HREF="node96.html">Parallel environment routines
+
- psb_info -- Return information about PSBLAS parallel + HREF="node97.html">psb_init -- Initializes PSBLAS parallel environment
- psb_exit -- Exit from PSBLAS parallel + HREF="node98.html">psb_info -- Return information about PSBLAS parallel environment
- psb_get_mpicomm -- Get the MPI communicator + HREF="node99.html">psb_exit -- Exit from PSBLAS parallel + environment
- psb_get_rank -- Get the MPI rank + HREF="node100.html">psb_get_mpicomm -- Get the MPI communicator
- psb_wtime -- Wall clock timing + HREF="node101.html">psb_get_rank -- Get the MPI rank
- psb_barrier -- Sinchronization point parallel - environment + HREF="node102.html">psb_wtime -- Wall clock timing
- psb_abort -- Abort a computation + HREF="node103.html">psb_barrier -- Sinchronization point parallel + environment
- psb_bcast -- Broadcast data + HREF="node104.html">psb_abort -- Abort a computation
- psb_sum -- Global sum + HREF="node105.html">psb_bcast -- Broadcast data
- psb_max -- Global maximum + HREF="node106.html">psb_sum -- Global sum
- psb_min -- Global minimum + HREF="node107.html">psb_max -- Global maximum
- psb_amx -- Global maximum absolute value + HREF="node108.html">psb_min -- Global minimum
- psb_amn -- Global minimum absolute value + HREF="node109.html">psb_amx -- Global maximum absolute value
- psb_snd -- Send data + HREF="node110.html">psb_amn -- Global minimum absolute value
- psb_rcv -- Receive data + HREF="node111.html">psb_snd -- Send data +
- psb_rcv -- Receive data
- - Error handling
- Utilities
-
-
+ HREF="node113.html">Error handling
- hb_read -- Read a sparse matrix from a file in the
- Harwell-Boeing format
+ HREF="node114.html">Utilities
+
- hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format + HREF="node115.html">hb_read -- Read a sparse matrix from a file in the + Harwell-Boeing format
- mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format + HREF="node116.html">hb_write -- Write a sparse matrix to a file + in the Harwell-Boeing format
- mm_array_read -- Read a dense array from a + HREF="node117.html">mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format
- mm_mat_write -- Write a sparse matrix to a + HREF="node118.html">mm_array_read -- Read a dense array from a file in the MatrixMarket format
- mm_array_write -- Write a dense array from a + HREF="node119.html">mm_mat_write -- Write a sparse matrix to a + file in the MatrixMarket format +
- mm_array_write -- Write a dense array from a file in the MatrixMarket format
- - Preconditioner routines
-
- psb_precinit -- Initialize a preconditioner
+ HREF="node121.html">Preconditioner routines
+
- psb_precbld -- Builds a preconditioner + HREF="node122.html">psb_precinit -- Initialize a preconditioner
- psb_precaply -- Preconditioner application - routine + HREF="node123.html">psb_precbld -- Builds a preconditioner
- psb_precdescr -- Prints a description of current - preconditioner + HREF="node124.html">psb_precaply -- Preconditioner application + routine
- clone -- clone current + HREF="node125.html">psb_precdescr -- Prints a description of current + preconditioner +
- clone -- clone current preconditioner
- - Iterative Methods
-
- psb_krylov -- Krylov Methods Driver
+ HREF="node127.html">Iterative Methods
+
- - Bibliography
- About this document ... + HREF="node129.html">Bibliography +
- About this document ...
diff --git a/docs/psblas-3.4.pdf b/docs/psblas-3.4.pdf index b702b398..f4126f1b 100644 --- a/docs/psblas-3.4.pdf +++ b/docs/psblas-3.4.pdf @@ -1,10 +1,11 @@ %PDF-1.5 % -2 0 obj << +2 0 obj +<< /Type /ObjStm /N 100 /First 818 -/Length 4713 +/Length 4727 >> stream 1 0 5 38 6 75 9 115 10 142 13 183 14 215 17 261 18 297 21 343 @@ -16,7 +17,7 @@ stream 122 2377 125 2421 126 2488 129 2532 130 2552 133 2596 134 2617 137 2661 138 2687 141 2731 142 2758 145 2802 146 2821 149 2865 150 2884 153 2928 154 2971 157 3015 158 3035 161 3087 162 3123 165 3170 166 3216 169 3268 170 3303 173 3347 174 3374 177 3418 178 3440 181 3484 -182 3511 185 3555 186 3575 189 3622 190 3670 193 3712 194 3751 197 3795 198 3824 201 3868 +182 3511 185 3555 186 3575 189 3622 190 3670 193 3717 194 3755 197 3797 198 3836 201 3880 % 1 0 obj << /S /GoTo /D (title.0) >> % 5 0 obj @@ -206,240 +207,244 @@ stream % 189 0 obj (3.4 Preconditioner data structure) % 190 0 obj -<< /S /GoTo /D (section.4) >> +<< /S /GoTo /D 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[-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 0 g 0 G - [-1084(50)]TJ + [-1084(51)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 487.178 cm +1 0 0 1 181.246 468.802 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 486.979 Td [(gather)]TJ +/F8 9.9626 Tf 184.235 468.603 Td [(gather)]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 0 g 0 G - [-1084(54)]TJ + [-1084(55)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 474.886 cm +1 0 0 1 181.246 456.722 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 474.687 Td [(scatter)]TJ +/F8 9.9626 Tf 184.235 456.523 Td [(scatter)]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 0 g 0 G - [-1083(56)]TJ + [-1083(57)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -22.479 Td [(6)-925(Data)-383(managem)-1(e)1(n)31(t)-383(routines)]TJ +/F27 9.9626 Tf -33.53 -22.125 Td [(6)-925(Data)-383(managem)-1(e)1(n)31(t)-383(routines)]TJ 0 g 0 G - [-18205(58)]TJ + [-18205(59)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.292 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 440.115 cm +1 0 0 1 181.246 422.517 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 439.916 Td [(cdall)]TJ +/F8 9.9626 Tf 184.235 422.318 Td [(cdall)]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 0 g 0 G - [-1084(58)]TJ + [-1084(59)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 427.823 cm +1 0 0 1 181.246 410.438 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 427.624 Td [(cdins)]TJ +/F8 9.9626 Tf 184.235 410.238 Td [(cdins)]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 0 g 0 G - [-1084(62)]TJ + [-1084(63)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 415.531 cm +1 0 0 1 181.246 398.358 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 415.332 Td [(cdasb)]TJ +/F8 9.9626 Tf 184.235 398.159 Td [(cdasb)]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 0 g 0 G - [-1083(64)]TJ + [-1083(65)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 403.239 cm +1 0 0 1 181.246 386.278 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 403.04 Td [(cdcp)28(y)]TJ +/F8 9.9626 Tf 184.235 386.079 Td [(cdcp)28(y)]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 0 g 0 G - [-1084(65)]TJ + [-1084(66)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 390.947 cm +1 0 0 1 181.246 374.199 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 390.748 Td [(cdfree)]TJ +/F8 9.9626 Tf 184.235 373.999 Td [(cdfree)]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 0 g 0 G - [-1084(66)]TJ + [-1084(67)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 378.655 cm +1 0 0 1 181.246 362.119 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 378.456 Td [(cdbldext)]TJ +/F8 9.9626 Tf 184.235 361.92 Td [(cdbldext)]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 0 g 0 G - [-1084(67)]TJ + [-1084(68)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 366.364 cm +1 0 0 1 181.246 350.039 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 366.164 Td [(spall)]TJ +/F8 9.9626 Tf 184.235 349.84 Td [(spall)]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 0 g 0 G - [-1084(69)]TJ + [-1084(70)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 354.072 cm +1 0 0 1 181.246 337.96 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 353.872 Td [(spins)]TJ +/F8 9.9626 Tf 184.235 337.76 Td [(spins)]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 0 g 0 G - [-1084(70)]TJ + [-1084(71)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 341.78 cm +1 0 0 1 181.246 325.88 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 341.58 Td [(spasb)]TJ +/F8 9.9626 Tf 184.235 325.681 Td [(spasb)]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 0 g 0 G - [-1083(72)]TJ + [-1083(73)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 329.488 cm +1 0 0 1 181.246 313.8 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 329.288 Td [(spfree)]TJ +/F8 9.9626 Tf 184.235 313.601 Td [(spfree)]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 0 g 0 G - [-1084(74)]TJ + [-1084(75)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.291 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 317.196 cm +1 0 0 1 181.246 301.72 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 316.997 Td [(sprn)]TJ +/F8 9.9626 Tf 184.235 301.521 Td [(sprn)]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 0 g 0 G - [-1084(75)]TJ + [-1084(76)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 304.904 cm +1 0 0 1 181.246 289.641 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 304.705 Td [(geall)]TJ +/F8 9.9626 Tf 184.235 289.441 Td [(geall)]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 0 g 0 G - [-1084(76)]TJ + [-1084(77)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 292.612 cm +1 0 0 1 181.246 277.561 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 292.413 Td [(geins)]TJ +/F8 9.9626 Tf 184.235 277.362 Td [(geins)]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 0 g 0 G - [-1084(77)]TJ + [-1084(78)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 280.32 cm +1 0 0 1 181.246 265.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 280.121 Td [(geasb)]TJ +/F8 9.9626 Tf 184.235 265.282 Td [(geasb)]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 0 g 0 G - [-1084(79)]TJ + [-1084(80)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 268.028 cm +1 0 0 1 181.246 253.402 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 267.829 Td [(gefree)]TJ +/F8 9.9626 Tf 184.235 253.202 Td [(gefree)]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 0 g 0 G - [-1084(80)]TJ + [-1084(81)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 255.736 cm +1 0 0 1 181.246 241.322 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 255.537 Td [(gelp)]TJ +/F8 9.9626 Tf 184.235 241.123 Td [(gelp)]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 0 g 0 G - [-1084(81)]TJ + [-1084(82)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 243.444 cm +1 0 0 1 181.246 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 243.245 Td [(glob)]TJ +/F8 9.9626 Tf 184.235 229.043 Td [(glob)]TJ ET q -1 0 0 1 203.097 243.444 cm +1 0 0 1 203.097 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 206.086 243.245 Td [(to)]TJ +/F8 9.9626 Tf 206.086 229.043 Td [(to)]TJ ET q -1 0 0 1 215.54 243.444 cm +1 0 0 1 215.54 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 218.528 243.245 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 218.528 229.043 Td [(lo)-28(c)]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 0 g 0 G - [-1083(82)]TJ + [-1083(83)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -52.879 -12.292 Td [(psb)]TJ + -52.879 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 231.152 cm +1 0 0 1 181.246 217.162 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 230.953 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 184.235 216.963 Td [(lo)-28(c)]TJ ET q -1 0 0 1 197.286 231.152 cm +1 0 0 1 197.286 217.162 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 200.275 230.953 Td [(to)]TJ +/F8 9.9626 Tf 200.275 216.963 Td [(to)]TJ ET q -1 0 0 1 209.728 231.152 cm +1 0 0 1 209.728 217.162 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 212.717 230.953 Td [(glob)]TJ +/F8 9.9626 Tf 212.717 216.963 Td [(glob)]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 0 g 0 G - [-1083(84)]TJ + [-1083(85)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -47.068 -12.292 Td [(psb)]TJ + -47.068 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 218.86 cm +1 0 0 1 181.246 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 218.661 Td [(is)]TJ +/F8 9.9626 Tf 184.235 204.884 Td [(is)]TJ ET q -1 0 0 1 191.53 218.86 cm +1 0 0 1 191.53 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 218.661 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 194.518 204.884 Td [(o)28(wned)]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 0 g 0 G - [-1084(85)]TJ + [-1084(86)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.869 -12.292 Td [(psb)]TJ + -28.869 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 206.568 cm +1 0 0 1 181.246 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 206.369 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 184.235 192.804 Td [(o)28(wned)]TJ ET q -1 0 0 1 212.23 206.568 cm +1 0 0 1 212.23 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 215.219 206.369 Td [(index)]TJ +/F8 9.9626 Tf 215.219 192.804 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 0 g 0 G - [-1083(86)]TJ + [-1083(87)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.57 -12.292 Td [(psb)]TJ + -49.57 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 194.276 cm +1 0 0 1 181.246 180.923 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 194.077 Td [(is)]TJ +/F8 9.9626 Tf 184.235 180.724 Td [(is)]TJ ET q -1 0 0 1 191.53 194.276 cm +1 0 0 1 191.53 180.923 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 194.077 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 194.518 180.724 Td [(lo)-28(cal)]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(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(87)]TJ + [-1084(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.869 -12.292 Td [(psb)]TJ + -28.869 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 181.985 cm +1 0 0 1 181.246 168.844 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 181.785 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 184.235 168.644 Td [(lo)-28(cal)]TJ ET q -1 0 0 1 205.035 181.985 cm +1 0 0 1 205.035 168.844 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 208.023 181.785 Td [(index)]TJ +/F8 9.9626 Tf 208.023 168.644 Td [(index)]TJ 0 g 0 G [-691(.)-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 0 g 0 G - [-1084(88)]TJ + [-1084(89)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.374 -12.292 Td [(psb)]TJ + -42.374 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 169.693 cm +1 0 0 1 181.246 156.764 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 169.493 Td [(get)]TJ +/F8 9.9626 Tf 184.235 156.565 Td [(get)]TJ ET q -1 0 0 1 198.116 169.693 cm +1 0 0 1 198.116 156.764 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 169.493 Td [(b)-28(oundary)]TJ +/F8 9.9626 Tf 201.105 156.565 Td [(b)-28(oundary)]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 0 g 0 G - [-1083(89)]TJ + [-1083(90)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -12.292 Td [(psb)]TJ + -35.456 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 157.401 cm +1 0 0 1 181.246 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 157.201 Td [(get)]TJ +/F8 9.9626 Tf 184.235 144.485 Td [(get)]TJ ET q -1 0 0 1 198.116 157.401 cm +1 0 0 1 198.116 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 157.201 Td [(o)28(v)28(erlap)]TJ +/F8 9.9626 Tf 201.105 144.485 Td [(o)28(v)28(erlap)]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(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(90)]TJ + [-1084(91)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -12.292 Td [(psb)]TJ + -35.456 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 145.109 cm +1 0 0 1 181.246 132.605 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 144.91 Td [(sp)]TJ +/F8 9.9626 Tf 184.235 132.405 Td [(sp)]TJ ET q -1 0 0 1 194.297 145.109 cm +1 0 0 1 194.297 132.605 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 197.286 144.91 Td [(getro)28(w)]TJ +/F8 9.9626 Tf 197.286 132.405 Td [(getro)28(w)]TJ 0 g 0 G [-433(.)-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 0 g 0 G - [-1084(91)]TJ + [-1084(92)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.637 -12.292 Td [(psb)]TJ + -31.637 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 132.817 cm +1 0 0 1 181.246 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 132.618 Td [(sizeof)]TJ +/F8 9.9626 Tf 184.235 120.326 Td [(sizeof)]TJ 0 g 0 G [-740(.)-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 0 g 0 G - [-1084(93)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG - -18.586 -12.292 Td [(Sorting)-333(utilities)]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 -0 g 0 G - [-1083(94)]TJ + [-1084(94)]TJ 0 g 0 G 0 g 0 G - 154.144 -29.888 Td [(ii)]TJ + 135.558 -29.888 Td [(ii)]TJ 0 g 0 G ET + endstream endobj -685 0 obj << -/Length 15799 +690 0 obj +<< +/Length 16132 >> stream 0 g 0 G 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F27 9.9626 Tf 99.895 706.129 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ +/F8 9.9626 Tf 114.839 706.129 Td [(Sorting)-333(utilities)]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 0 g 0 G - [-16891(96)]TJ + [-1083(95)]TJ +0 g 0 G +0 0 1 rg 0 0 1 RG +/F27 9.9626 Tf -14.944 -21.918 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ +0 g 0 G + [-16891(97)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 694.373 cm +1 0 0 1 130.436 672.455 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 694.174 Td [(init)]TJ +/F8 9.9626 Tf 133.425 672.256 Td [(init)]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 0 g 0 G - [-1083(97)]TJ + [-1083(98)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 682.418 cm +1 0 0 1 130.436 660.5 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 682.219 Td [(info)]TJ +/F8 9.9626 Tf 133.425 660.301 Td [(info)]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 0 g 0 G - [-1084(98)]TJ + [-1084(99)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(psb)]TJ + -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 670.463 cm +1 0 0 1 130.436 648.545 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 670.263 Td [(exit)]TJ +/F8 9.9626 Tf 133.425 648.346 Td [(exit)]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 0 g 0 G - [-1084(99)]TJ + [-584(100)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -11.956 Td [(psb)]TJ ET q -1 0 0 1 130.436 658.507 cm +1 0 0 1 130.436 636.59 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 658.308 Td [(get)]TJ +/F8 9.9626 Tf 133.425 636.39 Td [(get)]TJ ET q -1 0 0 1 147.307 658.507 cm +1 0 0 1 147.307 636.59 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 658.308 Td [(mpicomm)]TJ +/F8 9.9626 Tf 150.295 636.39 Td [(mpicomm)]TJ 0 g 0 G [-1024(.)-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 - [-583(100)]TJ + [-583(101)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 646.552 cm +1 0 0 1 130.436 624.634 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 646.353 Td [(get)]TJ +/F8 9.9626 Tf 133.425 624.435 Td [(get)]TJ ET q -1 0 0 1 147.307 646.552 cm +1 0 0 1 147.307 624.634 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 646.353 Td [(rank)]TJ +/F8 9.9626 Tf 150.295 624.435 Td [(rank)]TJ 0 g 0 G [-994(.)-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 0 g 0 G - [-584(101)]TJ + [-584(102)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 634.597 cm +1 0 0 1 130.436 612.679 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 634.398 Td [(wtime)]TJ +/F8 9.9626 Tf 133.425 612.48 Td [(wtime)]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 0 g 0 G - [-584(102)]TJ + [-584(103)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 622.642 cm +1 0 0 1 130.436 600.724 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 622.443 Td [(barrier)]TJ +/F8 9.9626 Tf 133.425 600.525 Td [(barrier)]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 0 g 0 G - [-584(103)]TJ + [-584(104)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 610.687 cm +1 0 0 1 130.436 588.769 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 610.488 Td [(ab)-28(ort)]TJ +/F8 9.9626 Tf 133.425 588.57 Td [(ab)-28(ort)]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 0 g 0 G - [-584(104)]TJ + [-584(105)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(psb)]TJ + -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 598.732 cm +1 0 0 1 130.436 576.814 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 598.532 Td [(b)-28(cast)]TJ +/F8 9.9626 Tf 133.425 576.615 Td [(b)-28(cast)]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 0 g 0 G - [-584(105)]TJ + [-584(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -11.956 Td [(psb)]TJ ET q -1 0 0 1 130.436 586.776 cm +1 0 0 1 130.436 564.859 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 586.577 Td [(sum)]TJ +/F8 9.9626 Tf 133.425 564.659 Td [(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 0 g 0 G - [-584(106)]TJ + [-584(107)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 574.821 cm +1 0 0 1 130.436 552.903 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 574.622 Td [(max)]TJ +/F8 9.9626 Tf 133.425 552.704 Td [(max)]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 0 g 0 G - [-583(107)]TJ + [-583(108)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 562.866 cm +1 0 0 1 130.436 540.948 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 562.667 Td [(min)]TJ +/F8 9.9626 Tf 133.425 540.749 Td [(min)]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 0 g 0 G - [-584(108)]TJ + [-584(109)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 550.911 cm +1 0 0 1 130.436 528.993 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 550.712 Td [(amx)]TJ +/F8 9.9626 Tf 133.425 528.794 Td [(amx)]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 0 g 0 G - [-583(109)]TJ + [-583(110)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 538.956 cm +1 0 0 1 130.436 517.038 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 538.757 Td [(amn)]TJ +/F8 9.9626 Tf 133.425 516.839 Td [(amn)]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 0 g 0 G - [-584(110)]TJ + [-584(111)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(psb)]TJ + -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 527.001 cm +1 0 0 1 130.436 505.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 526.801 Td [(snd)]TJ +/F8 9.9626 Tf 133.425 504.884 Td [(snd)]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 0 g 0 G - [-584(111)]TJ + [-584(112)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -11.956 Td [(psb)]TJ ET q -1 0 0 1 130.436 515.045 cm +1 0 0 1 130.436 493.128 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 514.846 Td [(rcv)]TJ +/F8 9.9626 Tf 133.425 492.928 Td [(rcv)]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 0 g 0 G - [-584(112)]TJ + [-584(113)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -21.918 Td [(8)-925(Error)-383(handling)]TJ +/F27 9.9626 Tf -33.53 -21.917 Td [(8)-925(Error)-383(handling)]TJ 0 g 0 G - [-23812(113)]TJ + [-23812(114)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -11.955 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -11.956 Td [(psb)]TJ ET q -1 0 0 1 130.436 481.172 cm +1 0 0 1 130.436 459.255 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 480.973 Td [(errpush)]TJ +/F8 9.9626 Tf 133.425 459.055 Td [(errpush)]TJ 0 g 0 G [-595(.)-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 0 g 0 G - [-584(115)]TJ + [-584(116)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 469.217 cm +1 0 0 1 130.436 447.299 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 469.018 Td [(error)]TJ +/F8 9.9626 Tf 133.425 447.1 Td [(error)]TJ 0 g 0 G [-987(.)-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 0 g 0 G - [-584(116)]TJ + [-584(117)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 457.262 cm +1 0 0 1 130.436 435.344 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 457.063 Td [(set)]TJ +/F8 9.9626 Tf 133.425 435.145 Td [(set)]TJ ET q -1 0 0 1 146.255 457.262 cm +1 0 0 1 146.255 435.344 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 149.244 457.063 Td [(errv)28(erb)-28(osit)28(y)]TJ +/F8 9.9626 Tf 149.244 435.145 Td [(errv)28(erb)-28(osit)28(y)]TJ 0 g 0 G [-977(.)-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 0 g 0 G - [-584(117)]TJ + [-584(118)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -34.405 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 445.307 cm +1 0 0 1 130.436 423.389 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 445.108 Td [(set)]TJ +/F8 9.9626 Tf 133.425 423.19 Td [(set)]TJ ET q -1 0 0 1 146.255 445.307 cm +1 0 0 1 146.255 423.389 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 149.244 445.108 Td [(erraction)]TJ +/F8 9.9626 Tf 149.244 423.19 Td [(erraction)]TJ 0 g 0 G [-735(.)-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 0 g 0 G - [-584(118)]TJ + [-584(119)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -49.349 -21.918 Td [(9)-925(Utilities)]TJ 0 g 0 G - [-27238(119)]TJ + [-27238(120)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.955 Td [(h)28(b)]TJ ET q -1 0 0 1 126.23 411.434 cm +1 0 0 1 126.23 389.516 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 129.219 411.235 Td [(read)]TJ +/F8 9.9626 Tf 129.219 389.317 Td [(read)]TJ 0 g 0 G [-859(.)-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(.)-500(.)]TJ 0 g 0 G - [-584(120)]TJ + [-584(121)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -14.38 -11.955 Td [(h)28(b)]TJ ET q -1 0 0 1 126.23 399.479 cm +1 0 0 1 126.23 377.561 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 129.219 399.28 Td [(write)]TJ +/F8 9.9626 Tf 129.219 377.362 Td [(write)]TJ 0 g 0 G [-526(.)-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(.)-500(.)]TJ 0 g 0 G - [-584(121)]TJ + [-584(122)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -14.38 -11.956 Td [(mm)]TJ + -14.38 -11.955 Td [(mm)]TJ ET q -1 0 0 1 132.042 387.524 cm +1 0 0 1 132.042 365.606 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 135.03 387.324 Td [(mat)]TJ +/F8 9.9626 Tf 135.03 365.407 Td [(mat)]TJ ET q -1 0 0 1 152.786 387.524 cm +1 0 0 1 152.786 365.606 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 155.775 387.324 Td [(read)]TJ +/F8 9.9626 Tf 155.775 365.407 Td [(read)]TJ 0 g 0 G [-527(.)-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 0 g 0 G - [-584(122)]TJ + [-584(123)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -40.936 -11.955 Td [(mm)]TJ + -40.936 -11.956 Td [(mm)]TJ ET q -1 0 0 1 132.042 375.568 cm +1 0 0 1 132.042 353.651 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 135.03 375.369 Td [(arra)28(y)]TJ +/F8 9.9626 Tf 135.03 353.451 Td [(arra)28(y)]TJ ET q -1 0 0 1 158.376 375.568 cm +1 0 0 1 158.376 353.651 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 161.365 375.369 Td [(read)]TJ +/F8 9.9626 Tf 161.365 353.451 Td [(read)]TJ 0 g 0 G [-744(.)-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(.)]TJ 0 g 0 G - [-584(123)]TJ + [-584(124)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -46.526 -11.955 Td [(mm)]TJ ET q -1 0 0 1 132.042 363.613 cm +1 0 0 1 132.042 341.695 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 135.03 363.414 Td [(mat)]TJ +/F8 9.9626 Tf 135.03 341.496 Td [(mat)]TJ ET q -1 0 0 1 152.786 363.613 cm +1 0 0 1 152.786 341.695 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 155.775 363.414 Td [(write)]TJ +/F8 9.9626 Tf 155.775 341.496 Td [(write)]TJ 0 g 0 G [-972(.)-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(.)]TJ 0 g 0 G - [-583(124)]TJ + [-583(125)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -40.936 -11.955 Td [(mm)]TJ ET q -1 0 0 1 132.042 351.658 cm +1 0 0 1 132.042 329.74 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 135.03 351.459 Td [(arra)28(y)]TJ +/F8 9.9626 Tf 135.03 329.541 Td [(arra)28(y)]TJ ET q -1 0 0 1 158.376 351.658 cm +1 0 0 1 158.376 329.74 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 161.365 351.459 Td [(write)]TJ +/F8 9.9626 Tf 161.365 329.541 Td [(write)]TJ 0 g 0 G [-410(.)-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 0 g 0 G - [-583(125)]TJ + [-583(126)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -61.47 -21.918 Td [(10)-350(Preconditioner)-383(routi)-1(n)1(es)]TJ 0 g 0 G - [-19367(126)]TJ + [-19367(127)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 317.785 cm +1 0 0 1 130.436 295.867 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 317.586 Td [(precinit)]TJ +/F8 9.9626 Tf 133.425 295.668 Td [(precinit)]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(.)]TJ 0 g 0 G - [-584(127)]TJ + [-584(128)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 305.83 cm +1 0 0 1 130.436 283.912 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 305.631 Td [(precbld)]TJ +/F8 9.9626 Tf 133.425 283.713 Td [(precbld)]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(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(128)]TJ + [-584(129)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ ET q -1 0 0 1 130.436 293.875 cm +1 0 0 1 130.436 271.957 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 293.676 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9.9626 Tf 131.092 0 Td [(x)]TJ +/F8 9.9626 Tf 10.676 0 Td [(is)-333(the)-334(global)-333(dense)-333(submatrix)]TJ/F11 9.9626 Tf 131.092 0 Td [(x)]TJ 0 g 0 G - -141.767 -19.214 Td [(Q)]TJ + -141.768 -19.214 Td [(Q)]TJ 0 g 0 G -/F8 9.9626 Tf 12.857 0 Td [(is)-333(the)-334(o)28(v)28(erlap)-333(op)-28(erator;)-333(it)-334(is)-333(the)-333(co)-1(mp)-27(osition)-334(of)-333(t)28(w)28(o)-334(op)-27(erators)]TJ/F11 9.9626 Tf 271.842 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(a)]TJ/F8 9.9626 Tf 8.141 1.494 Td [(and)]TJ/F11 9.9626 Tf 19.372 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 +/F8 9.9626 Tf 12.858 0 Td [(is)-333(the)-334(o)28(v)28(erlap)-333(op)-28(erator;)-333(it)-334(is)-333(the)-333(comp)-28(osition)-334(of)-333(t)28(w)28(o)-334(op)-27(erators)]TJ/F11 9.9626 Tf 271.842 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(a)]TJ/F8 9.9626 Tf 8.14 1.494 Td [(and)]TJ/F11 9.9626 Tf 19.372 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 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 587.879 cm +1 0 0 1 177.988 587.879 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F11 9.9626 Tf 234.775 579.311 Td [(x)]TJ/F27 9.9626 Tf 120.41 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 183.966 579.311 Td [(x)]TJ/F27 9.9626 Tf 120.409 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 575.525 cm +1 0 0 1 177.988 575.525 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F8 9.9626 Tf 234.775 566.957 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 183.966 566.957 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ ET q -1 0 0 1 370.782 567.156 cm +1 0 0 1 319.972 567.156 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 566.957 Td [(o)28(vrl)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 322.961 566.957 Td [(o)28(vrl)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 370.782 555.201 cm +1 0 0 1 319.972 555.201 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 555.002 Td [(o)28(vrl)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/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 ET q -1 0 0 1 370.782 543.246 cm +1 0 0 1 319.972 543.246 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 543.047 Td [(o)28(vrl)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/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 ET q -1 0 0 1 370.782 531.291 cm +1 0 0 1 319.972 531.291 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 531.091 Td [(o)28(vrl)]TJ +/F8 9.9626 Tf 322.961 531.091 Td [(o)28(vrl)]TJ ET q -1 0 0 1 228.797 527.306 cm +1 0 0 1 177.988 527.306 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 276.386 499.266 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 225.577 499.266 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.304 -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 +/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 1 201.669 471 cm +1 0 0 1 150.859 471 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 206.027 470.801 Td [(o)-137(v)-138(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/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 ET q -1 0 0 1 276.854 471 cm +1 0 0 1 226.044 471 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/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 ET q -1 0 0 1 201.669 459.045 cm +1 0 0 1 150.859 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/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 ET q -1 0 0 1 276.854 459.045 cm +1 0 0 1 226.044 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/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 ET q -1 0 0 1 415.44 459.045 cm +1 0 0 1 364.631 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/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 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -268.738 -25.406 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -268.739 -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 @@ -11682,201 +11914,205 @@ BT 0 g 0 G 0 -19.214 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 32.378 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 +/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 244.742 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 347.39 cm +1 0 0 1 385.864 347.39 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 347.191 Td [(T)]TJ +/F30 9.9626 Tf 389.002 347.191 Td [(T)]TJ ET q -1 0 0 1 445.669 347.39 cm +1 0 0 1 394.86 347.39 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 347.191 Td [(vect)]TJ +/F30 9.9626 Tf 397.998 347.191 Td [(vect)]TJ ET q -1 0 0 1 470.356 347.39 cm +1 0 0 1 419.547 347.39 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 347.191 Td [(type)]TJ +/F30 9.9626 Tf 422.685 347.191 Td [(type)]TJ 0 g 0 G -/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 +/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 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.214 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -19.214 Td [(desc)]TJ ET q -1 0 0 1 172.619 316.221 cm +1 0 0 1 121.81 316.221 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 316.022 Td [(a)]TJ +/F27 9.9626 Tf 125.247 316.022 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 +/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 1 362.845 268.401 cm +1 0 0 1 312.036 268.401 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 268.201 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 268.201 Td [(desc)]TJ ET q -1 0 0 1 387.532 268.401 cm +1 0 0 1 336.723 268.401 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 268.201 Td [(type)]TJ +/F30 9.9626 Tf 339.861 268.201 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 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 +/F8 9.9626 Tf 39.671 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 1 244.786 218.017 cm +1 0 0 1 193.977 218.017 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 248.223 217.818 Td [(none)]TJ +/F27 9.9626 Tf 197.414 217.818 Td [(none)]TJ ET q -1 0 0 1 272.62 218.017 cm +1 0 0 1 221.811 218.017 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 281.039 217.818 Td [(Do)-333(nothing;)]TJ +/F8 9.9626 Tf 230.229 217.818 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 +/F27 9.9626 Tf -105.427 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 244.786 202.789 cm +1 0 0 1 193.977 202.789 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 248.223 202.589 Td [(add)]TJ +/F27 9.9626 Tf 197.414 202.589 Td [(add)]TJ ET q -1 0 0 1 267.21 202.789 cm +1 0 0 1 216.4 202.789 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 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 +/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 ET q -1 0 0 1 244.786 187.56 cm +1 0 0 1 193.977 187.56 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 248.223 187.36 Td [(a)32(vg)]TJ +/F27 9.9626 Tf 197.414 187.36 Td [(a)32(vg)]TJ ET q -1 0 0 1 265.937 187.56 cm +1 0 0 1 215.127 187.56 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 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 +/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 ET q -1 0 0 1 245.048 144.435 cm +1 0 0 1 194.239 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 248.037 144.236 Td [(ty)-36(pe)]TJ/F8 9.9626 Tf 21.258 0 Td 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183.966 534.233 Td [(In)28(teger)-9028(psb)]TJ ET q -1 0 0 1 370.782 534.432 cm +1 0 0 1 319.972 534.432 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 534.233 Td [(gather)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 322.961 534.233 Td [(gather)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ ET q -1 0 0 1 370.782 522.477 cm +1 0 0 1 319.972 522.477 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 522.278 Td [(gather)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 322.961 522.278 Td [(gather)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 370.782 510.522 cm +1 0 0 1 319.972 510.522 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 510.323 Td [(gather)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 322.961 510.323 Td [(gather)]TJ -138.995 -11.956 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ ET q -1 0 0 1 370.782 498.567 cm +1 0 0 1 319.972 498.567 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 498.367 Td [(gather)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 322.961 498.367 Td [(gather)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 370.782 486.612 cm +1 0 0 1 319.972 486.612 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 486.412 Td [(gather)]TJ +/F8 9.9626 Tf 322.961 486.412 Td [(gather)]TJ ET q -1 0 0 1 228.797 482.626 cm +1 0 0 1 177.988 482.626 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 276.386 454.587 Td [(T)83(able)-333(16:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 225.577 454.587 Td [(T)83(able)-333(16:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.304 -30.984 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.737 0 Td [(p)-123(s)-123(b)]TJ +/F27 9.9626 Tf -124.305 -30.984 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.738 0 Td [(p)-123(s)-123(b)]TJ ET q -1 0 0 1 201.095 423.802 cm +1 0 0 1 150.286 423.802 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 205.31 423.603 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 154.501 423.603 Td [(g)-123(a)-123(t)-123(h)-123(e)-123(r)-229(\050)-215(g)-110(l)-110(o)-110(b)]TJ ET q -1 0 0 1 270.682 423.802 cm +1 0 0 1 219.873 423.802 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 274.766 423.603 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F8 9.9626 Tf 223.956 423.603 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ ET q -1 0 0 1 312.009 423.802 cm +1 0 0 1 261.2 423.802 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 316.265 423.603 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 265.456 423.603 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 360.541 423.802 cm +1 0 0 1 309.731 423.802 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 364.652 423.603 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-124(o)-123(o)-124(t)-230(\051)]TJ/F27 9.9626 Tf -212.57 -11.956 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.737 0 Td [(p)-123(s)-123(b)]TJ +/F8 9.9626 Tf 313.842 423.603 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-124(o)-123(o)-124(t)-230(\051)]TJ/F27 9.9626 Tf -212.57 -11.956 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.738 0 Td [(p)-123(s)-123(b)]TJ ET q -1 0 0 1 201.095 411.847 cm +1 0 0 1 150.286 411.847 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 205.31 411.647 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 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 ET q -1 0 0 1 270.682 411.847 cm +1 0 0 1 219.873 411.847 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 274.766 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F8 9.9626 Tf 223.956 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ ET q -1 0 0 1 312.009 411.847 cm +1 0 0 1 261.2 411.847 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 316.265 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 265.456 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 360.541 411.847 cm +1 0 0 1 309.731 411.847 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/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 0 g 0 G 0 g 0 G 0 g 0 G @@ -12147,272 +12388,276 @@ BT 0 -19.505 Td [(lo)-32(c)]TJ ET q -1 0 0 1 165.713 346.412 cm +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 169.151 346.213 Td [(x)]TJ +/F27 9.9626 Tf 118.341 346.213 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 +/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 1 374.277 346.412 cm +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 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 +/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 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 298.592 cm +1 0 0 1 385.864 298.592 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 298.392 Td [(T)]TJ +/F30 9.9626 Tf 389.002 298.392 Td [(T)]TJ ET q -1 0 0 1 445.669 298.592 cm +1 0 0 1 394.86 298.592 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 298.392 Td [(vect)]TJ +/F30 9.9626 Tf 397.998 298.392 Td [(vect)]TJ ET q -1 0 0 1 470.356 298.592 cm +1 0 0 1 419.547 298.592 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 298.392 Td [(type)]TJ +/F30 9.9626 Tf 422.685 298.392 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(indicated)-333(in)-334(T)84(able)]TJ +/F8 9.9626 Tf -297.883 -11.955 Td [(indicated)-333(in)-334(T)84(able)]TJ 0 0 1 rg 0 0 1 RG [-334(16)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.505 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -19.505 Td [(desc)]TJ ET q -1 0 0 1 172.619 267.131 cm +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 176.057 266.932 Td [(a)]TJ +/F27 9.9626 Tf 125.247 266.932 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 +/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 1 362.845 219.311 cm +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 365.983 219.111 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 219.111 Td [(desc)]TJ ET q -1 0 0 1 387.532 219.311 cm +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 390.67 219.111 Td [(type)]TJ +/F30 9.9626 Tf 339.861 219.111 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/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 25.93 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 182.523 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 20.794 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 29.612 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(v)55(ariable)]TJ/F14 9.9626 Tf 142.079 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.748 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 +/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 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-/F27 9.9626 Tf 99.895 706.129 Td [(glob)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(glob)]TJ ET q -1 0 0 1 121.587 706.328 cm +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 125.024 706.129 Td [(x)]TJ +/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 -11.25 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 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)-333(as:)-445(a)-333(rank)-333(one)-333(or)-334(t)28(w)28(o)-334(arra)28(y)-333(with)-333(the)]TJ/F30 9.9626 Tf 204.4 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ +/F8 9.9626 Tf 11.028 0 Td 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[(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 370.782 471.107 cm +1 0 0 1 319.972 471.107 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 +/F8 9.9626 Tf 322.961 470.908 Td [(scatter)]TJ ET q -1 0 0 1 228.797 467.122 cm +1 0 0 1 177.988 467.122 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(17:)-444(Data)-334(t)28(yp)-28(es)]TJ +/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 -124.304 -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 +/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 ET q -1 0 0 1 202.107 406.021 cm +1 0 0 1 151.298 406.021 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 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[(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 0 g 0 G @@ -12426,53 +12671,55 @@ BT 0 -21.839 Td [(glob)]TJ ET q -1 0 0 1 172.397 331.576 cm +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 175.834 331.377 Td [(x)]TJ +/F27 9.9626 Tf 125.024 331.377 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 +/F8 9.9626 Tf 11.028 0 Td 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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 ET q -1 0 0 1 171.761 682.515 cm +1 0 0 1 120.951 682.515 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 682.315 Td [(cdall)-375(|)-375(Allo)-31(cates)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/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=.true.,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 +/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=.true.,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 @@ -12631,877 +12880,764 @@ BT 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 +/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(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 +/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)-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 +/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 20.257 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 +/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)-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 +/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 18.15 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 +/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 - 141.967 -29.888 Td [(58)]TJ + 141.968 -29.888 Td [(59)]TJ 0 g 0 G ET + endstream endobj -1193 0 obj << -/Length 6637 +1203 0 obj +<< +/Length 6630 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(nl)]TJ +/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:)-389(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 10.378 -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 25.183 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(v)55(alue.)-444(Ma)28(y)-334(b)-27(e)-334(sp)-28(eci\014ed)-333(together)-333(with)]TJ/F30 9.9626 Tf 272.479 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(.)]TJ +/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 24.499 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 29.756 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(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(.true.)]TJ +/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 -156.691 -20.135 Td [(globalc)32(hec)32(k)]TJ +/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:)-445(d)1(o)-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 -287.242 -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(a)-333(logical)-333(v)55(alue,)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.true.)]TJ +/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 [(.true.)]TJ 0 g 0 G -/F27 9.9626 Tf -187.963 -20.135 Td [(lidx)]TJ +/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 176.172 0 Td [(l)-20(idx)]TJ/F8 9.9626 Tf 17.48 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 -219.466 -11.955 Td [(global)-333(indices)]TJ/F11 9.9626 Tf 62.045 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(.)]TJ -70.4 -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 +/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 -24.907 -22.127 Td [(On)-383(Return)]TJ +/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 ET q -1 0 0 1 121.81 376.512 cm +1 0 0 1 172.619 376.512 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 376.313 Td [(a)]TJ +/F27 9.9626 Tf 176.057 376.313 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 [(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 +/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 ET q -1 0 0 1 312.036 328.692 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 328.492 Td [(desc)]TJ -ET -q -1 0 0 1 336.723 328.692 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 339.861 328.492 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 -20.135 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 -22.128 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.177 -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 144.914 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 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 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(nl)]TJ/F8 9.9626 Tf 12.86 0 Td [(or)]TJ/F30 9.9626 Tf 11.283 0 Td [(repl)]TJ/F8 9.9626 Tf 23.32 0 Td [(m)28(ust)-241(b)-28(e)-241(sp)-27(e)-1(ci\014)1(e)-1(d)1(,)]TJ -242.773 -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)28(v)27(e)-337(a)-338(subroutine)-337(sp)-28(ecifying)-337(the)-338(mapping)-337(b)-28(et)28(w)28(een)]TJ -8.691 -11.955 Td [(global)-225(indices)-225(and)-225(pro)-28(cess/lo)-27(c)-1(al)-225(i)1(ndex)-225(pairs.)-409(If)-225(this)-225(optional)-225(ar)1(gume)-1(n)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)28(t)]TJ/F30 9.9626 Tf 251.562 0 Td [(mg)]TJ/F8 9.9626 Tf 13.613 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 [(59)]TJ -0 g 0 G -ET -endstream -endobj -1199 0 obj << -/Length 10049 ->> -stream -0 g 0 G -0 g 0 G -BT -/F30 9.9626 Tf 234.142 706.129 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 -10.461 -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(argumen)28(ts)-333(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -15.594 Td [(glob)]TJ -ET -q -1 0 0 1 219.221 637.283 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 222.658 637.083 Td [(index)]TJ -0 g 0 G -/F8 9.9626 Tf 32.192 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 -57.321 -13.774 Td [(np)]TJ -0 g 0 G -/F8 9.9626 Tf 17.712 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ -0 g 0 G -/F27 9.9626 Tf -17.712 -13.774 Td [(mg)]TJ -0 g 0 G -/F8 9.9626 Tf 20.258 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(th)1(e)-334(mapping;)]TJ -20.258 -15.594 Td [(The)-333(output)-334(argumen)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(um)28(b)-28(er)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)]TJ -0 g 0 G -/F27 9.9626 Tf -139.173 -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(indi)1(c)-1(es)-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;)-536(eac)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 3.875 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 -/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(th)1(is)-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)-28(ec-)]TJ 5.161 -11.955 Td [(i\014ed)-456(via)-456(an)-456(in)28(tege)-1(r)-456(v)28(ector)]TJ/F30 9.9626 Tf 120.743 0 Td [(vg\0501:mg\051)]TJ/F8 9.9626 Tf 41.842 0 Td [(;)-518(eac)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 9.526 0 Td [(is)]TJ -290.19 -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 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 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(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 [(;)-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 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[(cdins)-375(|)-375(Comm)31(unication)-375(descriptor)-375(insert)-375(routine)]TJ +/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 -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdins\050nz,)-525(ia,)-525(ja,)-525(desc_a,)-525(info)-525([,ila,jla]\051)]TJ 0 -11.956 Td [(call)-525(psb_cdins\050nz,ja,desc,info[,jla,mask,lidx]\051)]TJ/F8 9.9626 Tf 14.944 -20.465 Td [(This)-428(subroutine)-427(examines)-428(the)-428(edges)-428(of)-428(the)-427(graph)-428(asso)-28(ciated)-428(with)-428(t)1(he)-428(dis-)]TJ -14.944 -11.955 Td [(cretization)-481(mesh)-480(\050and)-481(isomorphic)-480(to)-481(the)-480(sparsit)27(y)-480(pattern)-481(of)-480(a)-481(lin)1(e)-1(ar)-480(system)]TJ 0 -11.955 Td [(co)-28(e\016cien)28(t)-359(matrix\051,)-366(storing)-359(them)-359(as)-359(necess)-1(ar)1(y)-360(in)28(to)-359(the)-359(comm)28(unication)-359(des)-1(crip)1(-)]TJ 0 -11.955 Td [(tor.)-506(In)-353(the)-354(\014rst)-354(form)-354(the)-354(edges)-353(are)-354(sp)-28(eci\014ed)-354(as)-354(pairs)-353(of)-354(indices)]TJ/F11 9.9626 Tf 278.053 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 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 [(;)-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;)-364(the)]TJ -319.606 -11.955 Td [(starting)-394(index)]TJ/F11 9.9626 Tf 65.222 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)-394(should)-394(b)-28(elong)-394(to)-394(the)-395(cur)1(re)-1(n)28(t)-394(pro)-28(cess.)-627(In)-394(the)-394(second)-394(form)]TJ -81.227 -11.955 Td [(only)-333(the)-334(remote)-333(indices)]TJ/F11 9.9626 Tf 104.968 0 Td [(j)-57(a)]TJ/F8 9.9626 Tf 9.939 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(are)-334(sp)-27(e)-1(ci\014ed.)]TJ +/F27 9.9626 Tf -57.32 -13.774 Td [(np)]TJ 0 g 0 G -/F27 9.9626 Tf -122.213 -20.465 Td [(T)32(yp)-32(e:)]TJ +/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 -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F27 9.9626 Tf -17.711 -13.774 Td [(mg)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.345 Td [(On)-383(En)32(try)]TJ +/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 - 0 -19.344 Td [(nz)]TJ +/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 -/F8 9.9626 Tf 16.438 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(p)-28(oin)28(ts)-333(b)-28(eing)-333(inserte)-1(d)1(.)]TJ 8.469 -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 [(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 +/F27 9.9626 Tf -139.172 -13.774 Td [(p)32(v)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.344 Td [(ia)]TJ +/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 -/F8 9.9626 Tf 13.733 0 Td [(the)-333(indices)-334(of)-333(the)-333(starting)-334(v)28(ertex)-333(of)-333(the)-334(edges)-333(b)-28(eing)-333(inserted.)]TJ 11.174 -11.956 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 [(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(length)]TJ/F11 9.9626 Tf 172.547 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ +/F27 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ 0 g 0 G -/F27 9.9626 Tf -208.505 -19.344 Td [(ja)]TJ +/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 -/F8 9.9626 Tf 14.051 0 Td [(the)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-334(t)1(he)-334(edges)-333(b)-28(eing)-333(inserted.)]TJ 10.856 -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 [(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(length)]TJ/F11 9.9626 Tf 172.547 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ +/F27 9.9626 Tf -179.936 -15.593 Td [(vl)]TJ 0 g 0 G -/F27 9.9626 Tf -208.505 -19.344 Td [(mask)]TJ +/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 Td [(globalcheck=.true.)]TJ/F8 9.9626 Tf 96.699 0 Td [(the)-256(subroutine)-256(will)-256(c)27(h)1(e)-1(c)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)-330(the)-331(prese)-1(n)1(c)-1(e)-330(of)-331(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)-356(g)-1(u)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 30.664 0 Td [(Mask)-329(e)-1(n)28(tries)-329(in)]TJ/F30 9.9626 Tf 70.038 0 Td [(ja)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-330(they)-330(are)-329(inserted)-330(only)-329(when)-329(the)-330(corresp)-28(onding)]TJ/F30 9.9626 Tf 211.627 0 Td [(mask)]TJ/F8 9.9626 Tf -297.883 -11.955 Td [(en)28(tries)-334(are)]TJ/F30 9.9626 Tf 48.54 0 Td [(.true.)]TJ/F8 9.9626 Tf -48.54 -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(a)-333(logical)-333(arra)28(y)-334(of)-333(length)]TJ/F11 9.9626 Tf 165.048 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(,)-333(default)]TJ/F30 9.9626 Tf 39.574 0 Td [(.true.)]TJ/F8 9.9626 Tf 31.382 0 Td [(.)]TJ +/F27 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ 0 g 0 G -/F27 9.9626 Tf -271.962 -19.344 Td [(lidx)]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 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[(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 -208.506 -19.344 Td [(ja)]TJ +0 g 0 G +/F8 9.9626 Tf 14.052 0 Td [(the)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-333(the)-334(edges)-333(b)-28(eing)-333(inserted.)]TJ 10.855 -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 [(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(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 -208.506 -19.344 Td [(mask)]TJ +0 g 0 G +/F8 9.9626 Tf 30.664 0 Td [(Mask)-330(en)28(tries)-329(in)]TJ/F30 9.9626 Tf 70.038 0 Td [(ja)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-330(they)-330(are)-329(inserted)-330(only)-329(when)-329(the)-330(corresp)-28(onding)]TJ/F30 9.9626 Tf 211.627 0 Td [(mask)]TJ/F8 9.9626 Tf -297.883 -11.955 Td [(en)28(tries)-334(are)]TJ/F30 9.9626 Tf 48.54 0 Td [(.true.)]TJ/F8 9.9626 Tf -48.54 -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 [(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(a)-333(logical)-333(arra)28(y)-334(of)-333(length)]TJ/F11 9.9626 Tf 165.048 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(,)-333(default)]TJ/F30 9.9626 Tf 39.574 0 Td [(.true.)]TJ/F8 9.9626 Tf 31.382 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.962 -19.344 Td [(lidx)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(User)-333(de\014ned)-334(lo)-27(ca)-1(l)-333(indices)-333(for)]TJ/F30 9.9626 Tf 128.851 0 Td [(ja)]TJ/F8 9.9626 Tf 10.46 0 Td [(.)]TJ -138.162 -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)-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 -208.506 -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 1 121.81 168.346 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 168.146 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 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 25.183 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 1 312.036 120.525 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 120.326 Td [(desc)]TJ +ET +q +1 0 0 1 336.723 120.525 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 120.326 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G + -94.012 -29.888 Td [(63)]TJ +0 g 0 G +ET + +endstream +endobj +1231 0 obj +<< +/Length 3163 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +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 [(64)]TJ +0 g 0 G +ET + +endstream +endobj +1240 0 obj +<< +/Length 3494 +>> +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 175.796 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]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\051)]TJ @@ -13582,31 +13833,31 @@ 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 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 +/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 1 362.845 578.35 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 365.983 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 387.532 578.35 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 390.67 578.15 Td [(type)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/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 @@ -13614,60 +13865,62 @@ BT 0 -19.926 Td [(desc)]TJ ET q -1 0 0 1 172.619 536.507 cm +1 0 0 1 121.81 536.507 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 536.307 Td [(a)]TJ +/F27 9.9626 Tf 125.247 536.307 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 [(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 [(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 1 362.845 488.686 cm +1 0 0 1 312.036 488.686 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 488.487 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 488.487 Td [(desc)]TJ ET q -1 0 0 1 387.532 488.686 cm +1 0 0 1 336.723 488.686 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 488.487 Td [(type)]TJ +/F30 9.9626 Tf 339.861 488.487 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -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 -21.918 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/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +/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(descriptor)-333(is)-333(in)-334(the)-333(assem)28(bled)-334(state.)]TJ 0 g 0 G - 154.698 -288.46 Td [(64)]TJ + 154.698 -288.46 Td [(65)]TJ 0 g 0 G ET + endstream endobj -1237 0 obj << -/Length 3277 +1247 0 obj +<< +/Length 3278 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-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_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ @@ -13682,31 +13935,31 @@ BT 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 626.17 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 125.247 625.971 Td [(in)]TJ +/F27 9.9626 Tf 176.057 625.971 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 +/F8 9.9626 Tf 14.528 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 25.184 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 1 312.036 578.35 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 315.174 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 578.35 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 339.861 578.15 Td [(type)]TJ +/F30 9.9626 Tf 390.67 578.15 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 0 g 0 G @@ -13714,56 +13967,58 @@ BT 0 -19.926 Td [(desc)]TJ ET q -1 0 0 1 121.81 536.507 cm +1 0 0 1 172.619 536.507 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 536.307 Td [(out)]TJ +/F27 9.9626 Tf 176.057 536.307 Td [(out)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(cop)28(y)83(.)]TJ -21.975 -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 [(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(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 21.53 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(cop)28(y)83(.)]TJ -21.976 -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 -11.955 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 1 312.036 488.686 cm +1 0 0 1 362.845 488.686 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 488.487 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 488.487 Td [(desc)]TJ ET q -1 0 0 1 336.723 488.686 cm +1 0 0 1 387.532 488.686 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 488.487 Td [(type)]TJ +/F30 9.9626 Tf 390.67 488.487 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 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 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 [(65)]TJ + 141.968 -330.303 Td [(66)]TJ 0 g 0 G ET + endstream endobj -1242 0 obj << +1252 0 obj +<< /Length 2243 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(cdfree)-375(|)-375(F)94(rees)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/F16 11.9552 Tf 124.986 706.129 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_cdfree\050desc_a,)-525(info\051)]TJ @@ -13778,62 +14033,64 @@ 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)-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 +/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 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 +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 365.983 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 387.532 578.35 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 390.67 578.15 Td [(type)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/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 [(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 +/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 -398.049 Td [(66)]TJ + 141.968 -398.049 Td [(67)]TJ 0 g 0 G ET + endstream endobj -1248 0 obj << -/Length 5927 +1259 0 obj +<< +/Length 5916 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(cdbldext)-282(|)-283(Build)-282(an)-282(ex)-1(tended)-282(comm)31(unication)-282(descrip-)]TJ -25.091 -13.948 Td [(tor)]TJ +/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(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 +/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 @@ -13844,122 +14101,126 @@ BT 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 41.899 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 +/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 ET q -1 0 0 1 121.81 504.47 cm +1 0 0 1 172.619 504.47 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 +/F27 9.9626 Tf 176.057 504.27 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 -11.955 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 [(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 1 312.036 456.649 cm +1 0 0 1 362.845 456.649 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 456.45 Td [(Tspmat)]TJ +/F30 9.9626 Tf 365.983 456.45 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 456.649 cm +1 0 0 1 397.993 456.649 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 456.45 Td [(type)]TJ +/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 -271.348 -21.484 Td [(nl)]TJ +/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)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 +/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 -177.767 -21.483 Td [(ext)32(yp)-32(e)]TJ +/F27 9.9626 Tf -177.766 -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 +/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 0 g 0 G -/F27 9.9626 Tf -24.907 -23.476 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -24.906 -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 1 121.81 261.126 cm +1 0 0 1 172.619 261.126 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 260.927 Td [(out)]TJ +/F27 9.9626 Tf 176.057 260.927 Td [(out)]TJ 0 g 0 G -/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 +/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 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 213.305 cm +1 0 0 1 362.845 213.305 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 213.106 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 213.106 Td [(desc)]TJ ET q -1 0 0 1 336.723 213.305 cm +1 0 0 1 387.532 213.305 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 213.106 Td [(type)]TJ +/F30 9.9626 Tf 390.67 213.106 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 -21.484 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 -23.476 Td [(Notes)]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 -11.955 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 0 g 0 G -/F8 9.9626 Tf 166.875 -29.888 Td [(67)]TJ +/F8 9.9626 Tf 166.874 -29.888 Td [(68)]TJ 0 g 0 G ET + endstream endobj -1253 0 obj << -/Length 1587 +1263 0 obj +<< +/Length 1591 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ 0 g 0 G - [-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 + [-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 0 g 0 G -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 + [-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 0 g 0 G - 141.968 -524.035 Td [(68)]TJ + 141.968 -524.035 Td [(69)]TJ 0 g 0 G ET + endstream endobj -1261 0 obj << -/Length 4887 +1271 0 obj +<< +/Length 4890 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(spall)-375(|)-375(Allo)-31(cates)-375(a)-375(sparse)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 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_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ @@ -13974,97 +14235,99 @@ BT 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 626.17 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 125.247 625.971 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 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 1 312.036 578.35 cm +1 0 0 1 362.845 578.35 cm []0 d 0 J 0.398 w 0 0 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[(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 + [-500(Pro)28(viding)-307(a)-308(go)-27(o)-28(d)-307(e)-1(stimate)-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 20.093 0 Td [(in)-307(the)-308(assem-)]TJ -261.651 -11.955 Td [(bled)-402(matrix)-401(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 -133.042 Td [(69)]TJ + 141.968 -133.042 Td [(70)]TJ 0 g 0 G ET + endstream endobj -1271 0 obj << -/Length 6453 +1281 0 obj +<< +/Length 6436 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(spins)-306(|)-307(Insert)-306(a)-306(cloud)-306(of)-306(elemen)31(ts)-307(in)32(to)-306(a)-307(sparse)-306(matrix)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(spins)-306(|)-307(Insert)-306(a)-306(cloud)-306(of)-307(elemen)32(ts)-307(in)32(to)-307(a)-306(sparse)-306(matrix)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf -25.091 -18.647 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ @@ -14078,151 +14341,153 @@ BT 0 g 0 G 0 -20.479 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(elemen)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 -51.024 -11.956 Td 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[(the)-333(column)-334(indices)-333(of)-333(the)-334(elemen)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 10.855 -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 25.183 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(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 0 g 0 G -/F27 9.9626 Tf -196.937 -20.479 Td [(v)64(al)]TJ +/F27 9.9626 Tf -196.938 -20.479 Td [(v)64(al)]TJ 0 g 0 G -/F8 9.9626 Tf 19.143 0 Td [(the)-333(elemen)27(ts)-333(to)-333(b)-28(e)-333(inse)-1(r)1(te)-1(d)1(.)]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 -11.956 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 [(in)]TJ/F8 9.9626 Tf 9.547 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 130.933 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)-570(Must)-375(b)-28(e)-375(of)-375(the)-375(same)-375(t)28(yp)-28(e)-375(and)-375(kind)-375(of)]TJ -141.984 -11.955 Td [(the)-333(co)-28(e\016cien)27(ts)-333(of)-333(the)-334(spar)1(s)-1(e)-333(matrix)]TJ/F11 9.9626 Tf 158.517 0 Td [(a)]TJ/F8 9.9626 Tf 5.266 0 Td [(.)]TJ +/F8 9.9626 Tf 19.144 0 Td [(the)-333(elemen)27(ts)-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 -11.956 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 [(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)-375(as:)-528(an)-375(arra)28(y)-375(of)-375(size)]TJ/F11 9.9626 Tf 130.933 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)-570(Must)-375(b)-28(e)-375(of)-375(the)-375(same)-375(t)28(yp)-28(e)-375(and)-375(kind)-375(of)]TJ -141.984 -11.955 Td [(the)-333(co)-28(e\016cien)28(ts)-334(of)-333(the)-333(s)-1(p)1(ars)-1(e)-333(matrix)]TJ/F11 9.9626 Tf 158.517 0 Td [(a)]TJ/F8 9.9626 Tf 5.266 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -188.689 -20.479 Td [(desc)]TJ +/F27 9.9626 Tf -188.69 -20.479 Td [(desc)]TJ ET q -1 0 0 1 172.619 339.234 cm +1 0 0 1 121.81 339.234 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 339.035 Td [(a)]TJ +/F27 9.9626 Tf 125.247 339.035 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 -11.956 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 10.551 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 -11.956 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)-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 +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 291.413 cm +1 0 0 1 278.467 291.413 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 332.415 291.214 Td [(desc)]TJ +/F30 9.9626 Tf 281.605 291.214 Td [(desc)]TJ ET q -1 0 0 1 353.964 291.413 cm +1 0 0 1 303.154 291.413 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 357.102 291.214 Td [(type)]TJ +/F30 9.9626 Tf 306.292 291.214 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 -227.318 -32.434 Td [(lo)-32(cal)]TJ +/F27 9.9626 Tf -227.319 -32.434 Td [(lo)-32(cal)]TJ 0 g 0 G -/F8 9.9626 Tf 28.054 0 Td [(Whether)-465(the)-464(en)27(tries)-464(in)-465(the)-465(ind)1(ic)-1(es)-464(v)28(e)-1(ctors)]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 -11.956 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 25.184 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(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 -11.956 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 -11.955 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 -224.574 -22.333 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -224.575 -22.333 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.48 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(matrix)-334(in)28(to)-333(whic)28(h)-334(elemen)28(ts)-333(will)-334(b)-27(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 25.184 0 Td [(required)]TJ/F8 9.9626 Tf -25.184 -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(matrix)-334(in)28(to)-333(whic)28(h)-334(elemen)28(ts)-333(will)-334(b)-27(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 -11.955 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 1 362.845 120.525 cm +1 0 0 1 312.036 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 120.326 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 120.326 Td [(Tspmat)]TJ ET q -1 0 0 1 397.993 120.525 cm +1 0 0 1 347.183 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.131 120.326 Td [(type)]TJ +/F30 9.9626 Tf 350.322 120.326 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - -104.473 -29.888 Td [(70)]TJ + -104.473 -29.888 Td [(71)]TJ 0 g 0 G ET + endstream endobj -1275 0 obj << -/Length 6087 +1285 0 obj +<< +/Length 6086 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(desc)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(desc)]TJ ET q -1 0 0 1 121.81 706.328 cm +1 0 0 1 172.619 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 706.129 Td [(a)]TJ +/F27 9.9626 Tf 176.057 706.129 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 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 +/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 -11.956 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 137.346 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ ET q -1 0 0 1 278.467 658.507 cm +1 0 0 1 329.276 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 281.605 658.308 Td [(desc)]TJ +/F30 9.9626 Tf 332.415 658.308 Td [(desc)]TJ ET q -1 0 0 1 303.154 658.507 cm +1 0 0 1 353.964 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 306.292 658.308 Td [(type)]TJ +/F30 9.9626 Tf 357.102 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.319 -31.88 Td [(info)]TJ +/F27 9.9626 Tf -227.318 -31.88 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 +/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 12.177 -19.925 Td [(1.)]TJ +/F8 9.9626 Tf 12.176 -19.925 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 -19.925 Td [(2.)]TJ 0 g 0 G - [-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 -11.956 Td [(up)-28(date)-333(state.)]TJ + [-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 -11.956 Td [(up)-28(date)-333(state.)]TJ 0 g 0 G -12.73 -19.925 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 271.731 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.731 -11.955 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 [(itly)-359(de\014nes)-360(a)-360(grap)1(h)-360(edge,)-366(that)-360(is)-359(passed)-360(to)-359(the)-360(descriptor)-359(routine)-360(for)-359(the)]TJ 0 -11.956 Td [(appropriate)-333(pro)-28(cessing;)]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 271.732 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.732 -11.955 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 -11.956 Td [(appropriate)-333(pro)-28(cessing;)]TJ 0 g 0 G -12.73 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(The)-540(co)-28(e\016cien)28(ts)-541(to)-540(b)-28(e)-540(inserted)-540(are)-541(represen)28(ted)-540(b)28(y)-541(the)-540(ordered)-540(triples)]TJ/F11 9.9626 Tf 12.73 -11.955 Td [(ia)]TJ/F8 9.9626 Tf 8.698 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 [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 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 [(;)-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,)-503(for)]TJ/F11 9.9626 Tf 28.256 0 Td [(i)]TJ/F8 9.9626 Tf 8.455 0 Td [(=)-504(1)]TJ/F11 9.9626 Tf 17.753 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(nz)]TJ/F8 9.9626 Tf 33.19 0 Td [(;)-537(these)-469(triples)-469(s)-1(h)1(ould)-470(b)-27(elong)-469(to)-470(the)]TJ -158.437 -11.955 Td [(curren)28(t)-351(pro)-28(cess,)-356(i.e.)]TJ/F11 9.9626 Tf 90.238 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-351(should)-351(b)-28(e)-351(one)-351(of)-352(the)-351(lo)-28(cal)-351(indices,)-355(but)-352(ar)1(e)-352(oth-)]TJ -106.243 -11.955 Td [(erwise)-333(arbitrary;)]TJ + [-500(The)-540(co)-28(e\016cien)28(ts)-541(to)-540(b)-28(e)-540(inserted)-540(are)-541(represen)28(ted)-540(b)28(y)-541(the)-540(ordered)-540(triples)]TJ/F11 9.9626 Tf 12.73 -11.955 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)]TJ/F11 9.9626 Tf 3.875 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 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051,)-503(for)]TJ/F11 9.9626 Tf 28.256 0 Td [(i)]TJ/F8 9.9626 Tf 8.455 0 Td [(=)-504(1)]TJ/F11 9.9626 Tf 17.752 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(nz)]TJ/F8 9.9626 Tf 33.191 0 Td [(;)-537(these)-469(triples)-469(should)-470(b)-27(elong)-469(to)-470(the)]TJ -158.438 -11.955 Td [(curren)28(t)-351(pro)-28(cess,)-356(i.e.)]TJ/F11 9.9626 Tf 90.238 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 3.433 0 Td [(\051)-351(should)-351(b)-28(e)-351(one)-351(of)-352(the)-351(lo)-28(cal)-351(indices,)-355(but)-351(are)-352(oth-)]TJ -106.244 -11.955 Td [(erwise)-333(arbitrary;)]TJ 0 g 0 G -12.73 -19.926 Td [(5.)]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;)]TJ + [-500(There)-386(is)-385(no)-386(requiremen)28(t)-386(that)-386(a)-385(giv)28(e)-1(n)-385(ro)28(w)-386(m)28(ust)-386(b)-28(e)-385(pass)-1(ed)-385(in)-386(its)-386(en)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)-355(as)]TJ 0 -11.955 Td [(man)28(y)-334(calls)-333(as)-333(desired;)]TJ 0 g 0 G -12.73 -19.925 Td [(6.)]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 -11.956 Td [(call,)-333(according)-334(to)-333(the)-333(application)-333(nee)-1(d)1(s)-1(;)]TJ + [-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(m)-1(i)1(xe)-1(d)-409(up)-409(freely)-409(in)-409(a)-410(single)]TJ 12.73 -11.956 Td [(call,)-333(according)-334(to)-333(the)-333(application)-334(n)1(e)-1(eds;)]TJ 0 g 0 G -12.73 -19.925 Td [(7.)]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(i)1(g)-1(n)1(ored;)]TJ + [-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(ignor)1(e)-1(d)1(;)]TJ 0 g 0 G -12.73 -19.925 Td [(8.)]TJ 0 g 0 G @@ -14230,28 +14495,30 @@ BT 0 g 0 G -12.73 -19.925 Td [(9.)]TJ 0 g 0 G - [-500(If)-309(th)1(e)-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(that)-308(w)28(ere)-309(not)]TJ 12.73 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ + [-500(If)-309(the)-308(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(that)-308(w)28(ere)-309(not)]TJ 12.73 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ 0 g 0 G - 141.968 -95.641 Td [(71)]TJ + 141.968 -95.641 Td [(72)]TJ 0 g 0 G ET + endstream endobj -1290 0 obj << -/Length 6648 +1300 0 obj +<< +/Length 6641 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]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 @@ -14266,121 +14533,123 @@ BT 0 -19.638 Td [(desc)]TJ ET q -1 0 0 1 172.619 627.46 cm +1 0 0 1 121.81 627.46 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 125.247 627.261 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 10.551 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 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 1 312.036 579.639 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 315.174 579.44 Td [(desc)]TJ ET q -1 0 0 1 387.532 579.639 cm +1 0 0 1 336.723 579.639 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 579.44 Td [(type)]TJ +/F30 9.9626 Tf 339.861 579.44 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -19.639 Td [(afm)32(t)]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 +/F8 9.9626 Tf 27.737 0 Td [(the)-333(storage)-334(format)-333(for)-333(the)-334(sparse)-333(matrix.)]TJ -2.83 -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(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 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 +/F8 9.9626 Tf 24.395 0 Td [(Pro)28(vide)-333(for)-334(up)-27(dates)-334(to)-333(the)-333(matrix)-334(co)-28(e\016cien)28(ts.)]TJ 0.512 -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(in)28(teger,)-333(p)-28(ossible)-333(v)55(alues:)]TJ/F30 9.9626 Tf 164.633 0 Td [(psb_upd_srch_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 6.089 0 Td [(psb_upd_perm_)]TJ 0 g 0 G -/F27 9.9626 Tf -263.622 -19.639 Td [(dupl)]TJ +/F27 9.9626 Tf -263.623 -19.639 Td [(dupl)]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 +/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 -11.955 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 78.456 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf -316.037 -11.955 Td [(psb_dupl_err_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]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 +/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 32.379 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 [(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 1 395.279 297.847 cm +1 0 0 1 344.47 297.847 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 398.417 297.647 Td [(T)]TJ +/F30 9.9626 Tf 347.608 297.647 Td [(T)]TJ ET q -1 0 0 1 404.275 297.847 cm +1 0 0 1 353.466 297.847 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 356.604 297.647 Td [(base)]TJ ET q -1 0 0 1 428.962 297.847 cm +1 0 0 1 378.153 297.847 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 381.291 297.647 Td [(sparse)]TJ ET q -1 0 0 1 464.11 297.847 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 467.248 297.647 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]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 -/F27 9.9626 Tf -332.234 -21.201 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 -19.639 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(assem)28(bled.)]TJ 14.355 -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 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[(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 -/F8 9.9626 Tf 166.874 -29.888 Td [(72)]TJ +/F8 9.9626 Tf 166.875 -29.888 Td [(73)]TJ 0 g 0 G ET + endstream endobj -1294 0 obj << -/Length 2248 +1305 0 obj +<< +/Length 2255 >> 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 +/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)28(bled)-406(state)-1(,)]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 + [-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 -80.282 -19.926 Td [(2.)]TJ 0 g 0 G @@ -14388,11 +14657,11 @@ BT 0 g 0 G 0 -19.925 Td [(3.)]TJ 0 g 0 G - [-500(Duplicate)-250(en)28(tries)-250(are)-249(detec)-1(ted)-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(i)1(s)-283(only)-282(tak)28(en)-283(in)-282(the)-282(build)-282(s)-1(tate,)]TJ 0 -11.955 Td [(i.e.)-444(on)-334(the)-333(\014rst)-333(assem)27(bly;)]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 -12.73 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(If)-224(the)-224(up)-28(d)1(ate)-224(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 108.951 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 + [-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 -12.73 -19.925 Td [(5.)]TJ 0 g 0 G @@ -14400,28 +14669,30 @@ BT 0 g 0 G 0 -19.925 Td [(6.)]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 + [-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,)-380(an)1(d)-370(th)27(us)]TJ 12.73 -11.956 Td [(is)-333(suitable)-334(for)-333(the)-333(computational)-334(rou)1(tines)-1(.)]TJ 0 g 0 G - 141.968 -444.333 Td [(73)]TJ + 141.968 -444.333 Td [(74)]TJ 0 g 0 G ET + endstream endobj -1307 0 obj << -/Length 3084 +1317 0 obj +<< +/Length 3086 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(spfree)-375(|)-375(F)94(rees)-375(a)-375(sparse)-375(matrix)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(spfree)-375(|)-375(F)94(rees)-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_spfree\050a,)-525(desc_a,)-525(info\051)]TJ @@ -14435,82 +14706,84 @@ BT 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 +/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 27.951 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 170.914 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 578.35 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 365.983 578.15 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(Tspmat)]TJ ET q -1 0 0 1 397.993 578.35 cm +1 0 0 1 347.183 578.35 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 +/F30 9.9626 Tf 350.322 578.15 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 +/F27 9.9626 Tf -271.348 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 558.424 cm +1 0 0 1 121.81 558.424 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 125.247 558.225 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 10.551 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 1 362.845 510.604 cm +1 0 0 1 312.036 510.604 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 315.174 510.405 Td [(desc)]TJ ET q -1 0 0 1 387.532 510.604 cm +1 0 0 1 336.723 510.604 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 339.861 510.405 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -21.918 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 +/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 -330.303 Td [(74)]TJ + 141.968 -330.303 Td [(75)]TJ 0 g 0 G ET + endstream endobj -1313 0 obj << -/Length 3991 +1323 0 obj +<< +/Length 3976 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 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 175.796 706.129 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 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 @@ -14524,90 +14797,92 @@ BT 0 g 0 G 0 -19.926 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(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 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.914 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 564.402 cm +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 315.174 564.203 Td [(Tspmat)]TJ +/F30 9.9626 Tf 365.983 564.203 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 564.402 cm +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 -/F30 9.9626 Tf 350.322 564.203 Td [(type)]TJ +/F30 9.9626 Tf 401.131 564.203 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 -271.347 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 544.477 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 125.247 544.278 Td [(a)]TJ +/F27 9.9626 Tf 176.057 544.278 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 -11.956 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 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 1 312.036 496.656 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 315.174 496.457 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 496.457 Td [(desc)]TJ ET q -1 0 0 1 336.723 496.656 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 339.861 496.457 Td [(type)]TJ +/F30 9.9626 Tf 390.67 496.457 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 -19.925 Td [(clear)]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 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 /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 [(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 +/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 -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +/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(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(up)-28(date)-333(s)-1(tat)1(e)-1(.)]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 - 154.698 -206.766 Td [(75)]TJ + 154.698 -206.766 Td [(76)]TJ 0 g 0 G ET + endstream endobj -1320 0 obj << -/Length 5111 +1330 0 obj +<< +/Length 5107 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(geall)-375(|)-375(Allo)-31(cates)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 124.986 706.129 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 -25.091 -18.389 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ @@ -14622,822 +14897,832 @@ 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 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 137.347 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 578.35 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 332.415 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 281.605 578.15 Td [(desc)]TJ ET q -1 0 0 1 353.964 578.35 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 357.102 578.15 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 -227.318 -31.88 Td [(n)]TJ +/F27 9.9626 Tf -227.319 -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 +/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 -/F27 9.9626 Tf -24.906 -19.925 Td [(lb)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(lb)]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 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[(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 q -1 0 0 1 339.381 498.649 cm +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 -/F30 9.9626 Tf 342.519 498.449 Td [(T)]TJ +/F30 9.9626 Tf 393.329 498.449 Td [(T)]TJ ET q -1 0 0 1 348.377 498.649 cm +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 -/F30 9.9626 Tf 351.515 498.449 Td [(base)]TJ +/F30 9.9626 Tf 402.325 498.449 Td [(base)]TJ ET q -1 0 0 1 373.064 498.649 cm +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 -/F30 9.9626 Tf 376.202 498.449 Td [(vect)]TJ +/F30 9.9626 Tf 427.012 498.449 Td [(vect)]TJ ET q -1 0 0 1 397.751 498.649 cm +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 -/F30 9.9626 Tf 400.89 498.449 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 +/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 43.78 0 Td [(psb)]TJ ET q -1 0 0 1 287.233 486.693 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 290.371 486.494 Td [(T)]TJ +/F30 9.9626 Tf 341.18 486.494 Td [(T)]TJ ET q -1 0 0 1 296.229 486.693 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 299.367 486.494 Td [(vect)]TJ +/F30 9.9626 Tf 350.177 486.494 Td [(vect)]TJ ET q -1 0 0 1 320.916 486.693 cm +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 324.054 486.494 Td [(type)]TJ +/F30 9.9626 Tf 374.864 486.494 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -245.081 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -245.08 -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(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 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 1 205.048 385.075 cm +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 208.186 384.875 Td [(T)]TJ +/F30 9.9626 Tf 258.995 384.875 Td [(T)]TJ ET q -1 0 0 1 214.044 385.075 cm +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 217.182 384.875 Td [(vect)]TJ +/F30 9.9626 Tf 267.992 384.875 Td [(vect)]TJ ET q -1 0 0 1 238.731 385.075 cm +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 241.869 384.875 Td [(type)]TJ +/F30 9.9626 Tf 292.679 384.875 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 [(,)-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 -162.896 -31.88 Td [(info)]TJ +/F27 9.9626 Tf -162.895 -31.88 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 1.148 -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 -214.736 Td [(79)]TJ + 141.968 -214.736 Td [(80)]TJ 0 g 0 G ET + endstream endobj -1347 0 obj << -/Length 3379 +1357 0 obj +<< +/Length 3378 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 124.986 706.129 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 @@ -15604,89 +15891,91 @@ BT 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)-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 +/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 63.927 0 Td [(psb)]TJ ET q -1 0 0 1 255.857 566.395 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 258.995 566.195 Td [(T)]TJ +/F30 9.9626 Tf 208.186 566.195 Td [(T)]TJ ET q -1 0 0 1 264.853 566.395 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 267.992 566.195 Td [(vect)]TJ +/F30 9.9626 Tf 217.182 566.195 Td [(vect)]TJ ET q -1 0 0 1 289.541 566.395 cm +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 292.679 566.195 Td [(type)]TJ +/F30 9.9626 Tf 241.869 566.195 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 20.922 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 -/F27 9.9626 Tf -162.895 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -162.896 -31.88 Td [(desc)]TJ ET q -1 0 0 1 172.619 534.514 cm +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 176.057 534.315 Td [(a)]TJ +/F27 9.9626 Tf 125.247 534.315 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 -11.956 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 +/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 137.347 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 486.693 cm +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 332.415 486.494 Td [(desc)]TJ +/F30 9.9626 Tf 281.605 486.494 Td [(desc)]TJ ET q -1 0 0 1 353.964 486.693 cm +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 357.102 486.494 Td [(type)]TJ +/F30 9.9626 Tf 306.292 486.494 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 -227.318 -33.873 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -227.319 -33.873 Td [(On)-383(Return)]TJ 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 1.148 -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 +/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 -294.437 Td [(80)]TJ + 141.968 -294.437 Td [(81)]TJ 0 g 0 G ET + endstream endobj -1351 0 obj << -/Length 3437 +1361 0 obj +<< +/Length 3438 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(gelp)-375(|)-375(Applies)-375(a)-375(left)-375(p)-31(erm)31(utation)-375(to)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(gelp)-375(|)-375(Applies)-375(a)-375(left)-375(p)-31(erm)31(utation)-375(to)-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_gelp\050trans,)-525(iperm,)-525(x,)-525(info\051)]TJ @@ -15700,60 +15989,62 @@ BT 0 g 0 G 0 -19.925 Td [(trans)]TJ 0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(A)-333(c)27(haracter)-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 32.379 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(single)-333(c)28(haracte)-1(r)-333(with)-333(v)55(alu)1(e)-334('N')-333(for)]TJ/F11 9.9626 Tf 217.435 0 Td [(A)]TJ/F8 9.9626 Tf 10.793 0 Td [(or)-333('T')-334(for)]TJ/F11 9.9626 Tf 43.503 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.277 -3.616 Td [(.)]TJ +/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 -11.956 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 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -310.387 -31.88 Td [(ip)-32(erm)]TJ +/F27 9.9626 Tf -310.386 -31.88 Td [(ip)-32(erm)]TJ 0 g 0 G -/F8 9.9626 Tf 34.364 0 Td [(An)-333(in)28(te)-1(ger)-333(arra)28(y)-333(con)27(tainin)1(g)-334(p)-28(erm)28(utation)-333(information.)]TJ -9.457 -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(an)-333(in)28(teger)-333(one-dimensional)-334(arra)28(y)83(.)]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 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-1(n)-333(in)28(teger)-333(one-dimensional)-334(arra)28(y)84(.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -31.88 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(p)-27(erm)27(ut)1(e)-1(d.)]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 -11.956 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(or)-334(t)28(w)28(o)-333(dimensional)-334(arra)28(y)84(.)]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 -11.956 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:)-445(a)-333(one)-333(or)-333(t)27(w)28(o)-333(dimensional)-334(arra)28(y)84(.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -33.873 Td [(On)-383(Return)]TJ 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 -11.955 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 +/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 -11.956 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 -226.691 Td [(81)]TJ + 141.967 -226.691 Td [(82)]TJ 0 g 0 G ET + endstream endobj -1356 0 obj << -/Length 6547 +1366 0 obj +<< +/Length 6540 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(glob)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(glob)]TJ ET q -1 0 0 1 201.26 706.328 cm +1 0 0 1 150.451 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 205.295 706.129 Td [(to)]TJ +/F16 11.9552 Tf 154.486 706.129 Td [(to)]TJ ET q -1 0 0 1 218.057 706.328 cm +1 0 0 1 167.248 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 222.092 706.129 Td [(lo)-31(c)-375(|)-375(Global)-375(to)-375(lo)-31(cal)-375(indices)-375(con)31(v)31(ertion)]TJ +/F16 11.9552 Tf 171.283 706.129 Td [(lo)-31(c)-375(|)-375(Global)-375(to)-375(lo)-31(cal)-375(indices)-375(con)31(v)31(ertion)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -71.387 -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 +/F30 9.9626 Tf -71.388 -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 0 -21.201 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -15764,115 +16055,119 @@ BT 0 g 0 G 0 -19.639 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 13.878 -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 -11.955 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 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 -24.906 -31.594 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -31.594 Td [(desc)]TJ ET q -1 0 0 1 172.619 536.09 cm +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 176.057 535.891 Td [(a)]TJ +/F27 9.9626 Tf 125.247 535.891 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 10.551 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 1 362.845 488.27 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 365.983 488.07 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 488.07 Td [(desc)]TJ ET q -1 0 0 1 387.532 488.27 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 390.67 488.07 Td [(type)]TJ +/F30 9.9626 Tf 339.861 488.07 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -19.638 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 -11.956 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 9.548 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 +/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 [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ 0 g 0 G -/F27 9.9626 Tf -317.116 -19.639 Td [(o)32(wned)]TJ +/F27 9.9626 Tf -317.117 -19.639 Td [(o)32(wned)]TJ 0 g 0 G -/F8 9.9626 Tf 36.647 0 Td [(Sp)-28(ec\014es)-333(v)55(alid)-333(range)-333(of)-333(input)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 158.932 0 Td [(global)]TJ/F8 9.9626 Tf -170.673 -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 [(If)-294(true,)-302(then)-294(only)-295(indices)-294(strictly)-294(o)28(wned)-295(b)28(y)-294(the)-294(curren)28(t)-295(pro)-27(ce)-1(ss)-294(are)-294(consid-)]TJ 0 -11.955 Td [(ered)-333(v)55(alid,)-333(if)-333(false)-334(then)-333(halo)-333(indices)-334(are)-333(also)-333(accepted.)-445(Default:)-444(false.)]TJ +/F8 9.9626 Tf 36.647 0 Td [(Sp)-28(ec\014es)-333(v)55(alid)-333(range)-333(of)-334(i)1(nput)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 158.933 0 Td [(global)]TJ/F8 9.9626 Tf -170.673 -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 [(If)-294(true,)-302(then)-294(only)-295(indices)-294(strictly)-294(o)28(wned)-295(b)28(y)-294(the)-294(curren)28(t)-295(pro)-27(ces)-1(s)-294(are)-294(consid-)]TJ 0 -11.955 Td [(ered)-333(v)55(alid,)-333(if)-333(false)-334(then)-333(halo)-333(indices)-334(are)-333(also)-333(accepted.)-445(Default:)-444(false.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -21.202 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -24.907 -21.202 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.639 Td [(x)]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 +/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.133 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 88.586 0 Td [(x)]TJ/F8 9.9626 Tf 9.185 0 Td [(is)-350(o)27(v)28(erwritten)-350(with)-351(th)1(e)-351(translated)-350(in)28(teger)-351(indices.)]TJ -102.758 -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 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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 -21.202 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 166.874 -29.887 Td [(82)]TJ +/F8 9.9626 Tf 166.875 -29.887 Td [(83)]TJ 0 g 0 G ET + endstream endobj -1360 0 obj << -/Length 692 +1370 0 obj +<< +/Length 705 >> 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 +/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ 0 g 0 G - [-500(If)-352(an)-353(input)-352(index)-352(is)-353(out)-352(of)-352(range,)-358(then)-352(the)-352(corresp)-28(onding)-352(output)-353(index)-352(is)]TJ 12.73 -11.955 Td [(set)-333(to)-334(a)-333(negativ)28(e)-334(n)28(um)28(b)-28(er;)]TJ + [-500(If)-352(an)-353(input)-352(index)-352(is)-353(out)-352(of)-353(r)1(ange)-1(,)-357(then)-352(the)-352(corres)-1(p)-27(onding)-353(ou)1(tput)-353(index)-352(is)]TJ 12.73 -11.955 Td [(set)-333(to)-334(a)-333(negativ)28(e)-334(n)28(um)28(b)-28(er;)]TJ 0 g 0 G -12.73 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(The)-476(default)]TJ/F30 9.9626 Tf 69.542 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore)-476(means)-477(th)1(at)-477(the)-476(negativ)28(e)-476(output)-477(is)-476(the)-476(only)-476(action)]TJ -62.043 -11.955 Td [(tak)28(en)-334(on)-333(an)-333(out-of-range)-333(input.)]TJ + [-500(The)-476(default)]TJ/F30 9.9626 Tf 69.543 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore)-476(means)-477(that)-476(the)-476(negativ)28(e)-477(out)1(put)-477(is)-476(the)-476(only)-476(action)]TJ -62.043 -11.955 Td [(tak)28(en)-334(on)-333(an)-333(out-of-range)-333(input.)]TJ 0 g 0 G - 141.968 -571.855 Td [(83)]TJ + 141.968 -571.855 Td [(84)]TJ 0 g 0 G ET + endstream endobj -1367 0 obj << -/Length 5736 +1377 0 obj +<< +/Length 5721 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(lo)-31(c)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(lo)-31(c)]TJ ET q -1 0 0 1 193.415 706.328 cm +1 0 0 1 142.605 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 197.45 706.129 Td [(to)]TJ +/F16 11.9552 Tf 146.64 706.129 Td [(to)]TJ ET q -1 0 0 1 210.212 706.328 cm +1 0 0 1 159.402 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 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 +/F16 11.9552 Tf 163.437 706.129 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 @@ -15886,83 +16181,85 @@ BT 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td 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[(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 -24.907 -31.88 Td [(desc)]TJ ET q -1 0 0 1 172.619 534.514 cm +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 176.057 534.315 Td [(a)]TJ +/F27 9.9626 Tf 125.247 534.315 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 10.551 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 1 362.845 486.693 cm +1 0 0 1 312.036 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 486.494 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 486.494 Td [(desc)]TJ ET q -1 0 0 1 387.532 486.693 cm +1 0 0 1 336.723 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 486.494 Td [(type)]TJ +/F30 9.9626 Tf 339.861 486.494 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 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 +/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 -11.955 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)-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 [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 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 -317.117 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(x)]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 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-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(in)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(y)]TJ +/F27 9.9626 Tf -24.907 -19.926 Td [(y)]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 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.167 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 8.766 0 Td [(is)-354(o)28(v)28(erwritten)-354(with)-354(the)-354(translated)-353(in)27(teger)-353(indices,)]TJ -102.553 -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 29.611 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 [(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)-333(in)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/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 1.148 -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 +/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 -115.11 Td [(84)]TJ + 141.968 -115.11 Td [(85)]TJ 0 g 0 G ET + endstream endobj -1372 0 obj << -/Length 3271 +1383 0 obj +<< +/Length 3279 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(is)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(is)]TJ ET q -1 0 0 1 134.834 706.328 cm +1 0 0 1 185.644 706.328 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 189.679 706.129 Td [(o)31(wned)-375(|)]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 @@ -15976,78 +16273,80 @@ BT 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 +/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(e)-1(x.)]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)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(in)28(teger.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q -1 0 0 1 121.81 546.469 cm +1 0 0 1 172.619 546.469 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 176.057 546.27 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 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 1 312.036 498.649 cm +1 0 0 1 362.845 498.649 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ ET q -1 0 0 1 336.723 498.649 cm +1 0 0 1 387.532 498.649 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 390.67 498.449 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 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)-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 78.386 0 Td [(A)-302(logical)-301(mask)-302(whic)28(h)-302(is)-302(tru)1(e)-302(if)]TJ/F11 9.9626 Tf 134.085 0 Td [(x)]TJ/F8 9.9626 Tf 8.7 0 Td [(is)-302(o)28(wned)-302(b)28(y)-301(the)-302(curren)28(t)-302(pro-)]TJ -196.265 -11.955 Td [(cess)-334(Scop)-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 29.612 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/F16 11.9552 Tf -74.941 -33.873 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ +/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]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 + [-500(This)-300(routine)-300(r)1(e)-1(tu)1(rns)-300(a)]TJ/F30 9.9626 Tf 111.214 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.368 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)27(t)-333(pro)-28(cess,)-333(excluding)-333(the)-334(halo)-333(indices)]TJ 0 g 0 G - 141.968 -264.549 Td [(85)]TJ + 141.968 -264.549 Td [(86)]TJ 0 g 0 G ET + endstream endobj -1379 0 obj << -/Length 4983 +1389 0 obj +<< +/Length 4979 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(o)31(wned)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(o)31(wned)]TJ ET q -1 0 0 1 213.748 706.328 cm +1 0 0 1 162.939 706.328 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 166.974 706.129 Td [(index)-375(|)]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 -67.079 -18.389 Td [(call)-525(psb_owned_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 @@ -16058,83 +16357,85 @@ BT 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(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 11.028 0 Td [(In)28(teger)-334(indices.)]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 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(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 -24.906 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q -1 0 0 1 172.619 546.469 cm +1 0 0 1 121.81 546.469 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 125.247 546.27 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 +/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 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 498.649 cm +1 0 0 1 312.036 498.649 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 315.174 498.449 Td [(desc)]TJ ET q -1 0 0 1 387.532 498.649 cm +1 0 0 1 336.723 498.649 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 339.861 498.449 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 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 +/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 -11.955 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)-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 [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ 0 g 0 G -/F27 9.9626 Tf -317.116 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -317.117 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(y)]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 +/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 -253.973 -11.955 Td [(b)28(y)-333(the)-334(curren)28(t)-333(pro)-28(cess)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 132.752 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 33.486 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(ran)1(k)-334(one)-333(logical)-333(arra)27(y)84(.)]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 +/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 12.176 -19.925 Td [(1.)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]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 + [-500(This)-475(routine)-474(returns)-475(a)]TJ/F30 9.9626 Tf 118.186 0 Td [(.true.)]TJ/F8 9.9626 Tf 36.111 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 0 g 0 G - 141.967 -141.013 Td [(86)]TJ + 141.968 -141.013 Td [(87)]TJ 0 g 0 G ET + endstream endobj -1385 0 obj << -/Length 3240 +1395 0 obj +<< +/Length 3247 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(is)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(is)]TJ ET q -1 0 0 1 134.834 706.328 cm +1 0 0 1 185.644 706.328 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 189.679 706.129 Td [(lo)-31(cal)-375(|)]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 @@ -16148,75 +16449,77 @@ BT 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 +/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(e)-1(x.)]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)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(in)28(teger.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q -1 0 0 1 121.81 546.469 cm +1 0 0 1 172.619 546.469 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 176.057 546.27 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 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 1 312.036 498.649 cm +1 0 0 1 362.845 498.649 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ ET q -1 0 0 1 336.723 498.649 cm +1 0 0 1 387.532 498.649 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 390.67 498.449 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 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 +/F8 9.9626 Tf 78.386 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)-265(lo)-27(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 29.612 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/F16 11.9552 Tf -74.941 -33.873 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ +/F8 9.9626 Tf 12.176 -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 + [-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)-239(lo)-27(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 [(87)]TJ + 141.968 -264.549 Td [(88)]TJ 0 g 0 G ET + endstream endobj -1391 0 obj << -/Length 4992 +1401 0 obj +<< +/Length 4963 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(lo)-31(cal)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(lo)-31(cal)]TJ ET q -1 0 0 1 203.689 706.328 cm +1 0 0 1 152.879 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 207.724 706.129 Td [(index)-375(|)]TJ +/F16 11.9552 Tf 156.914 706.129 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 @@ -16230,86 +16533,88 @@ BT 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 +/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(indices.)]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 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(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 ET q -1 0 0 1 172.619 546.469 cm +1 0 0 1 121.81 546.469 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 125.247 546.27 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 +/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 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 498.649 cm +1 0 0 1 312.036 498.649 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 315.174 498.449 Td [(desc)]TJ ET q -1 0 0 1 387.532 498.649 cm +1 0 0 1 336.723 498.649 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 339.861 498.449 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 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 +/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 -11.955 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)-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 [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ 0 g 0 G -/F27 9.9626 Tf -317.116 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -317.117 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 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 +/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(onding)-345(en)28(tries)-346(of)]TJ/F11 9.9626 Tf 264.883 0 Td [(x)]TJ/F8 9.9626 Tf 9.136 0 Td [(that)-346(are)-345(lo)-28(cal)]TJ -260.14 -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 29.611 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)-333(as:)-445(a)-333(scalar)-333(or)-334(ran)1(k)-334(one)-333(logical)-333(arra)27(y)84(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/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 1.148 -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 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 12.176 -19.925 Td [(1.)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]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 + [-500(This)-308(routine)-309(retur)1(ns)-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)-333(pro)-28(cess,)-334(including)-333(the)-333(halo)-333(indices.)]TJ 0 g 0 G - 141.968 -141.013 Td [(88)]TJ + 141.968 -141.013 Td [(89)]TJ 0 g 0 G ET + endstream endobj -1397 0 obj << -/Length 3821 +1407 0 obj +<< +/Length 3804 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(get)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(get)]TJ ET q -1 0 0 1 143.885 706.328 cm +1 0 0 1 194.695 706.328 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 198.729 706.129 Td [(b)-31(oundary)-375(|)-375(Extract)-375(list)-375(of)-375(b)-32(oundary)-375(elemen)32(ts)]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 -48.024 -18.389 Td [(call)-525(psb_get_boundary\050bndel,)-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 @@ -16320,75 +16625,77 @@ BT 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 [(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 26.208 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 1 312.036 578.35 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 315.174 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 578.35 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 339.861 578.15 Td [(type)]TJ +/F30 9.9626 Tf 390.67 578.15 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 0 g 0 G 0 g 0 G 0 -19.926 Td [(bndel)]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 +/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 -7.604 -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 0 g 0 G -/F27 9.9626 Tf -24.907 -31.881 Td [(info)]TJ +/F27 9.9626 Tf -24.906 -31.881 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 -11.956 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 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 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[(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 [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(with)-333(the)]TJ/F30 9.9626 Tf 170.611 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ +/F8 9.9626 Tf 14.052 0 Td [(the)-333(column)-334(indices)-333(of)-333(the)-334(elemen)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 10.855 -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 [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(with)-333(the)]TJ/F30 9.9626 Tf 170.61 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ 0 g 0 G /F27 9.9626 Tf -256.372 -19.925 Td [(v)64(al)]TJ 0 g 0 G -/F8 9.9626 Tf 19.143 0 Td [(the)-333(elemen)27(ts)-333(to)-333(b)-28(e)-333(inse)-1(r)1(te)-1(d)1(.)]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 -11.956 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(real)-333(arra)28(y)-334(with)-333(the)]TJ/F30 9.9626 Tf 151.516 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.854 0 Td [(attribute.)]TJ +/F8 9.9626 Tf 19.144 0 Td [(the)-333(elemen)27(ts)-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 -11.956 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(real)-333(arra)28(y)-334(with)-333(the)]TJ/F30 9.9626 Tf 151.515 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ 0 g 0 G -/F27 9.9626 Tf -237.276 -19.925 Td [(info)]TJ +/F27 9.9626 Tf -237.277 -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 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Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.51 -19.926 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -287.509 -19.926 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(The)-332(memory)-331(o)-28(ccupation)-332(of)-331(the)-332(ob)-55(ject)-332(sp)-28(eci\014ed)-332(in)-331(the)-332(calling)]TJ -53.48 -11.955 Td [(sequence,)-333(in)-334(b)28(ytes.)]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 -11.955 Td [(Returned)-333(as:)-445(an)]TJ/F30 9.9626 Tf 73.834 0 Td [(integer\050psb_long_int_k_\051)]TJ/F8 9.9626 Tf 128.849 0 Td [(n)28(um)28(b)-28(er.)]TJ -0 g 0 G - -60.715 -242.632 Td [(93)]TJ -0 g 0 G -ET -endstream -endobj -1430 0 obj << -/Length 5773 ->> -stream -0 g 0 G -0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(Sorting)-375(utilities)-375(|)]TJ 0 -19.593 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 686.736 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 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[(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 [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger,)-333(real)-334(or)-333(complex)-333(arra)27(y)-333(of)-333(rank)-333(1.)]TJ -0 g 0 G -/F27 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[(Whether)-333(to)-334(k)28(eep)-333(the)-334(origi)1(nal)-334(v)56(alues)-334(in)]TJ/F11 9.9626 Tf 170.583 0 Td [(I)-78(X)]TJ/F8 9.9626 Tf 14.197 0 Td [(.)]TJ -182.517 -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)-222(as:)-389(an)-222(in)28(teger)-222(v)55(alue)]TJ/F30 9.9626 Tf 125.446 0 Td [(psb_sort_ovw_idx_)]TJ/F8 9.9626 Tf 91.13 0 Td [(or)]TJ/F30 9.9626 Tf 11.097 0 Td [(psb_sort_keep_idx_)]TJ/F8 9.9626 Tf 94.146 0 Td [(;)]TJ -321.819 -11.955 Td [(default)]TJ/F30 9.9626 Tf 33.485 0 Td [(psb_sort_ovw_idx_)]TJ/F8 9.9626 Tf 88.916 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -147.308 -24.503 Td [(On)-383(Return)]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(of)-333(v)55(alu)1(e)-1(s,)-333(in)-333(the)-334(c)28(hosen)-333(ordering.)]TJ 13.879 -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 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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 1 339.182 466.768 cm +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 342.171 466.569 Td [(COMM)]TJ +/F8 9.9626 Tf 392.98 466.569 Td [(COMM)]TJ ET q -1 0 0 1 375.977 466.768 cm +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 378.966 466.569 Td [(W)28(ORLD.)]TJ +/F8 9.9626 Tf 429.775 466.569 Td [(W)28(ORLD.)]TJ 0 g 0 G -/F27 9.9626 Tf -279.071 -19.925 Td [(ids)]TJ +/F27 9.9626 Tf -279.07 -19.925 Td [(ids)]TJ 0 g 0 G -/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)-498(n)1(e)-1(w)-497(con)28(text;)-579(the)-497(argumen)28(t)-497(is)]TJ 5.859 -11.956 Td [(ignored)-428(when)]TJ/F30 9.9626 Tf 63.346 0 Td [(np)]TJ/F8 9.9626 Tf 14.722 0 Td [(is)-428(not)-428(sp)-27(eci\014ed.)-728(This)-428(allo)28(ws)-428(the)-428(pro)-27(ce)-1(sses)-427(in)-428(the)-428(new)]TJ -78.068 -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(fr)1(om)-334(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 29.611 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(arra)27(y)84(.)-778(Default:)-444(use)-334(the)-333(indices)-333(\0500)]TJ/F11 9.9626 Tf 254.158 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 26.49 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1\051.)]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 -315.518 -21.918 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 [(icon)32(txt)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-458(comm)28(unication)-457(con)27(text)-457(iden)28(tifying)-458(the)-457(virtual)-458(paral)1(le)-1(l)-457(mac)28(hine.)]TJ -15.082 -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 169.952 0 Td [(basectxt)]TJ/F8 9.9626 Tf 41.843 0 Td [(,)-336(so)-335(that)-335(library)-335(comm)28(u-)]TJ -211.795 -11.955 Td [(nications)-305(are)-305(completely)-305(s)-1(eparated)-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 29.611 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 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 -24.907 -21.917 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 -19.926 Td [(1.)]TJ +/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]TJ 0 g 0 G [-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 0 -19.925 Td [(2.)]TJ 0 g 0 G - [-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 159.869 0 Td [(np)]TJ/F8 9.9626 Tf 13.603 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(un)1(derlying)-334(base)-333(parallel)-333(en)27(vir)1(onme)-1(n)28(t.)]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 - 141.968 -97.177 Td [(97)]TJ + 141.968 -97.177 Td [(98)]TJ 0 g 0 G ET + endstream endobj -1459 0 obj << -/Length 4638 +1469 0 obj +<< +/Length 4646 >> 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 [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +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 175.796 706.129 Td [(info)-306(|)-307(Return)-306(information)-306(ab)-31(out)-307(PSBLAS)-306(parallel)-306(en-)]TJ -25.091 -13.948 Td [(vironmen)31(t)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(info)-306(|)-307(Return)-306(information)-306(ab)-31(out)-307(PSBLAS)-306(parallel)-306(en-)]TJ -25.091 -13.948 Td [(vironmen)31(t)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -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(in)1(formation)-456(ab)-28(out)-456(the)-456(PSBLAS)-456(p)1(arallel)-456(en)27(viron)1(-)]TJ -14.944 -11.955 Td [(men)28(t,)-334(de\014n)1(ing)-334(a)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ +/F30 9.9626 Tf 0 -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 -19.925 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -17567,50 +17900,52 @@ BT 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 -11.955 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 +/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 -71.509 -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(ariable.)]TJ 0 g 0 G /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 [(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(p)1(arallel)-334(mac)28(hine.)]TJ 1.626 -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 [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)]TJ/F14 9.9626 Tf 134.302 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 [(iam)]TJ/F14 9.9626 Tf 20.213 0 Td [(\024)]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)]TJ +/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 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ/F14 9.9626 Tf 134.302 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.749 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(iam)]TJ/F14 9.9626 Tf 20.213 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)]TJ 0 g 0 G -/F27 9.9626 Tf -239.12 -19.926 Td [(np)]TJ +/F27 9.9626 Tf -239.121 -19.926 Td [(np)]TJ 0 g 0 G -/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(PS)1(BL)-1(AS)-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 -11.955 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 [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ/F16 11.9552 Tf 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0 Td [(The)-333(lo)-28(cal)-333(c)-1(on)28(tribution)-333(to)-333(the)-334(gl)1(obal)-334(maxim)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)-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)-464(a)-464(ran)1(k)-464(1)-464(or)-464(2)-464(arra)28(y)83(.)-1299(T)28(yp)-28(e,)-497(kind)1(,)-497(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 @@ -18176,7 +18473,7 @@ BT 0 g 0 G 0 -19.926 Td [(dat)]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 +/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(maxim)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)-464(a)-464(ran)1(k)-464(1)-464(or)-464(2)-464(arra)28(y)83(.)-1299(T)28(yp)-28(e,)-497(kind)1(,)-497(rank)-464(and)-463(size)-464(m)27(ust)-463(agree)-464(on)-464(all)]TJ 0 -11.956 Td [(pro)-28(cesses.)]TJ/F16 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ 0 g 0 G /F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ 0 g 0 G @@ -18189,10 +18486,12 @@ BT 99.987 -97.177 Td [(110)]TJ 0 g 0 G ET + endstream endobj -1528 0 obj << -/Length 5346 +1532 0 obj +<< +/Length 5248 >> stream 0 g 0 G @@ -18205,49 +18504,54 @@ q []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 [(snd)-375(|)-375(Send)-375(data)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(amn)-375(|)-375(Global)-375(minim)31(um)-375(absolute)-375(v)63(alue)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_snd\050icontxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(sends)-333(a)-333(pac)27(k)28(et)-333(of)-333(data)-334(to)-333(a)-333(destination.)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_amn\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-336(s)-1(u)1(broutine)-337(implemen)28(ts)-337(a)-336(minim)28(um)-337(absolute)-336(v)55(alue)-336(reduction)-336(op)-28(eration)]TJ -14.944 -11.955 Td [(based)-333(on)-334(the)-333(underlying)-333(comm)28(unication)-334(library)84(.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ +/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:)-445(see)-333(usage)-333(notes.)]TJ +/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 -11.955 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 [(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 +/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(data)-334(to)-333(b)-28(e)-333(sen)28(t.)]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 -11.955 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 [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -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)-381(a)-381(rank)-381(1)-381(or)-381(2)-381(arra)27(y)84(,)-393(or)-381(a)-381(c)27(har)1(ac)-1(ter)-381(or)-381(logical)-381(scalar.)-969(T)28(yp)-27(e)-1(,)-393(ki)1(nd)-381(and)]TJ 0 -11.955 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,)-329(size)]TJ -232.734 -11.955 Td [(m)28(ust)-334(agree)-333(as)-333(w)27(ell.)]TJ +/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-334(con)28(tribution)-333(to)-333(the)-334(global)-333(minim)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 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(dst)]TJ +/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)-276(to)-276(hold)-276(the)-276(\014nal)-275(v)55(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(p)1(ro)-28(cesses.)]TJ -155.184 -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 -/F8 9.9626 Tf 20.321 0 Td [(Destination)-333(pro)-28(cess.)]TJ 4.586 -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 -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(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 [(dst)-278(<)]TJ/F8 9.9626 Tf 23.969 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.)]TJ +/F27 9.9626 Tf -251.325 -33.873 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -239.002 -31.881 Td [(m)]TJ 0 g 0 G -/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 32.379 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 43.455 0 Td [(.)]TJ -73.066 -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)-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 19.264 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.812 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 -11.956 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(leading)-285(dimension)]TJ/F11 9.9626 Tf 153.742 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.812 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td 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[(to)-356(a)-356(p)-27(oin)28(t)-356(where)-356(the)-356(error)-355(condition)-356(is)-356(handled;)-367(the)-355(error)-356(condition)-356(is)-356(han)1(dled)]TJ 0 -11.955 Td [(either)-392(b)28(y)-392(returning)-392(con)28(trol)-392(to)-392(the)-392(caller)-391(routine)-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(pr)1(in)27(ts)-478(the)-478(con)28(ten)27(t)-478(of)-478(the)-478(error)-478(s)-1(tac)28(k)-478(and)-478(ab)-28(orts)-478(the)-478(program)]TJ 0 -11.955 Td [(execution,)-329(ac)-1(cord)1(ing)-329(to)-328(the)-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 + [-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(th)1(e)]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(i)1(ble)-248(to)-248(see)-248(that)-248(the)-248(error)-247(has)-248(b)-28(een)-248(detected)-248(inside)-248(th)1(e)]TJ/F30 9.9626 Tf 301.868 0 Td [(psb_cest)]TJ/F8 9.9626 Tf -301.868 -11.956 Td [(subroutine)-333(called)-334(b)28(y)]TJ/F30 9.9626 Tf 91.407 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 + 22.583 -211.304 Td [(114)]TJ +0 g 0 G +ET + endstream endobj -1547 0 obj << -/Length 7100 +1557 0 obj +<< +/Length 7220 >> stream 0 g 0 G @@ -18846,147 +19208,149 @@ stream 0 g 0 G 0 g 0 G BT -/F52 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/F45 8.9664 Tf 61.471 0 Td [(p)-132(s)-132(b)]TJ +/F52 8.9664 Tf 108.801 680.066 Td [(s)-60(u)-60(b)-60(r)-59(o)-60(u)-60(t)-60(i)-60(n)-60(e)]TJ/F45 8.9664 Tf 61.47 0 Td [(p)-132(s)-132(b)]TJ ET q -1 0 0 1 239.064 680.265 cm +1 0 0 1 188.254 680.265 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 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/F52 8.9664 Tf -0.604 -10.959 Td [(i)-181(f)]TJ/F45 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/F52 8.9664 Tf 93.291 0 Td [(t)-30(h)-30(e)-29(n)]TJ/F45 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/F52 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F45 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ +/F45 8.9664 Tf 192.204 680.066 Td [(f)-132(o)-132(o)-241(\050)-155(s)-47(o)-47(m)-47(e)-768(a)-105(r)-106(g)-105(s)-376(,)-939(i)-156(n)-157(f)-156(o)-265(\051)]TJ -65.125 -10.959 Td [(.)-248(.)-249(.)]TJ/F52 8.9664 Tf -0.604 -10.959 Td [(i)-181(f)]TJ/F45 8.9664 Tf 10.408 0 Td [(\050)-260(e)-151(r)-151(r)-151(o)-151(r)-897(d)-129(e)-129(t)-130(e)-129(c)-129(t)-129(e)-130(d)-237(\051)]TJ/F52 8.9664 Tf 93.292 0 Td [(t)-30(h)-29(e)-30(n)]TJ/F45 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-128(r)-129(c)-129(o)-129(d)-129(e)-129(1)]TJ/F52 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F45 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ ET q -1 0 0 1 238.765 636.429 cm +1 0 0 1 187.956 636.429 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 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 +/F45 8.9664 Tf 191.831 636.23 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-233(\050)-329(')-242(p)-133(s)-132(b)]TJ ET q -1 0 0 1 310.944 636.429 cm +1 0 0 1 260.135 636.429 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 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/F52 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F45 8.9664 Tf 27.969 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F52 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F45 8.9664 Tf 2.244 -10.959 Td [(.)-248(.)-249(.)]TJ/F52 8.9664 Tf -0.957 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F45 8.9664 Tf 27.399 0 Td [(p)-114(s)-114(b)]TJ +/F45 8.9664 Tf 264.085 636.23 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-128(d)-129(e)-129(1)-237(\051)]TJ/F52 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F45 8.9664 Tf 27.968 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F52 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F45 8.9664 Tf 2.245 -10.959 Td [(.)-248(.)-249(.)]TJ/F52 8.9664 Tf -0.957 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F45 8.9664 Tf 27.399 0 Td [(p)-114(s)-114(b)]TJ ET q -1 0 0 1 221.826 592.594 cm +1 0 0 1 171.016 592.594 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 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/F52 8.9664 Tf -48.329 -10.958 Td [(i)-181(f)]TJ/F45 8.9664 Tf 10.409 0 Td [(\050)-265(i)-156(n)-157(f)-156(o)-939(.)-234(n)-68(e)-234(.)-910(z)-127(e)-128(r)-127(o)-236(\051)]TJ/F52 8.9664 Tf 93.291 0 Td [(t)-30(h)-30(e)-29(n)]TJ/F45 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/F52 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F45 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ +/F45 8.9664 Tf 174.803 592.394 Td [(b)-114(a)-114(r)-223(\050)-155(s)-47(o)-46(m)-47(e)-769(a)-105(r)-105(g)-105(s)-377(,)-938(i)-157(n)-156(f)-157(o)-265(\051)]TJ/F52 8.9664 Tf -48.328 -10.958 Td [(i)-181(f)]TJ/F45 8.9664 Tf 10.408 0 Td [(\050)-265(i)-156(n)-157(f)-156(o)-939(.)]TJ/F52 8.9664 Tf 37.831 0 Td [(n)-11(e)]TJ/F45 8.9664 Tf 12.445 0 Td [(.)-910(z)-127(e)-127(r)-128(o)-235(\051)]TJ/F52 8.9664 Tf 43.016 0 Td [(t)-30(h)-29(e)-30(n)]TJ/F45 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-128(r)-129(c)-129(o)-129(d)-129(e)-129(2)]TJ/F52 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F45 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ ET q -1 0 0 1 238.765 559.717 cm +1 0 0 1 187.956 559.717 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 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 +/F45 8.9664 Tf 191.831 559.518 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-233(\050)-329(')-242(p)-133(s)-132(b)]TJ ET q -1 0 0 1 310.944 559.717 cm +1 0 0 1 260.135 559.717 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 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/F52 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F45 8.9664 Tf 27.969 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F52 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F45 8.9664 Tf 2.244 -10.959 Td [(.)-248(.)-249(.)]TJ -18.077 -10.959 Td [(9)-82(9)-82(9)-83(9)]TJ/F52 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/F45 8.9664 Tf 15.938 0 Td [(\050)-273(e)-164(r)-165(r)]TJ +/F45 8.9664 Tf 264.085 559.518 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-128(d)-129(e)-129(2)-237(\051)]TJ/F52 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F45 8.9664 Tf 27.968 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F52 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F45 8.9664 Tf 2.245 -10.959 Td [(.)-248(.)-249(.)]TJ -18.078 -10.959 Td [(9)-82(9)-82(9)-83(9)]TJ/F52 8.9664 Tf 27.419 0 Td [(c)-57(o)-57(n)-57(t)-56(i)-57(n)-57(u)-57(e)]TJ -9.945 -10.959 Td [(i)-181(f)]TJ/F45 8.9664 Tf 15.937 0 Td [(\050)-273(e)-164(r)-165(r)]TJ ET q -1 0 0 1 215.536 504.923 cm +1 0 0 1 164.726 504.923 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 8.9664 Tf 219.774 504.723 Td [(a)-164(c)-165(t)-946(.)-244(e)-78(q)-243(.)-923(a)-141(c)-141(t)]TJ +/F45 8.9664 Tf 168.965 504.723 Td [(a)-164(c)-165(t)-946(.)]TJ/F52 8.9664 Tf 27.964 0 Td [(e)-22(q)]TJ/F45 8.9664 Tf 12.347 0 Td [(.)-923(a)-141(c)-141(t)]TJ ET q -1 0 0 1 287.553 504.923 cm +1 0 0 1 236.744 504.923 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 8.9664 Tf 291.582 504.723 Td [(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F52 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/F45 8.9664 Tf 27.681 0 Td [(p)-146(s)-145(b)]TJ +/F45 8.9664 Tf 240.772 504.723 Td [(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F52 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/F45 8.9664 Tf 27.682 0 Td [(p)-146(s)-145(b)]TJ ET q -1 0 0 1 234.014 493.964 cm +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 BT -/F45 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/F52 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/F45 8.9664 Tf 84.142 0 Td [(p)-132(s)-132(b)]TJ +/F45 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/F52 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/F45 8.9664 Tf 84.141 0 Td [(p)-132(s)-132(b)]TJ ET q -1 0 0 1 261.181 428.21 cm +1 0 0 1 210.371 428.21 cm []0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F45 8.9664 Tf 265.131 428.011 Td [(f)-132(o)-132(o)]TJ +/F45 8.9664 Tf 214.321 428.011 Td [(f)-132(o)-132(o)]TJ 0 g 0 G 0 g 0 G ET q -1 0 0 1 150.705 701.884 cm +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 1 150.904 410.576 cm +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 1 497.088 410.576 cm +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 1 150.705 410.576 cm +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 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 +/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 ET q -1 0 0 1 314.468 382.736 cm +1 0 0 1 263.659 382.736 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 +/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 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 8.368 -39.475 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(df_sample)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(mat)-525(dist)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(mat_distv)]TJ 0 -11.956 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(psb_spasb)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(psb_spasb)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(psb_cest)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\050136\051)-525(in)-525(subroutine:)-525(psb_cest)]TJ 0 -11.956 Td [(Format)-525(FOO)-525(is)-525(unknown)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Aborting...)]TJ +/F30 9.9626 Tf 8.369 -39.475 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(df_sample)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(mat)-525(dist)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(mat_distv)]TJ 0 -11.956 Td 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Tf 185.201 667.814 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 +/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 -85.306 -17.933 Td [(T)32(yp)-32(e:)]TJ +/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 @@ -19585,64 +19965,66 @@ BT 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 +/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 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590.106 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 -294.483 -19.926 Td [(prec)]TJ +/F27 9.9626 Tf -294.484 -19.926 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 32.378 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)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]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 32.379 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)-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 1 465.045 522.559 cm +1 0 0 1 414.236 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 468.184 522.36 Td [(prec)]TJ +/F30 9.9626 Tf 417.374 522.36 Td [(prec)]TJ ET q -1 0 0 1 489.733 522.559 cm +1 0 0 1 438.923 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 492.871 522.36 Td [(type)]TJ +/F30 9.9626 Tf 442.061 522.36 Td [(type)]TJ 0 g 0 G 0 g 0 G /F27 9.9626 Tf -342.166 -31.881 Td [(desc)]TJ ET q -1 0 0 1 172.619 490.679 cm +1 0 0 1 121.81 490.679 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 490.479 Td [(a)]TJ +/F27 9.9626 Tf 125.247 490.479 Td [(a)]TJ 0 g 0 G -/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 [(,)-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 +/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 -11.955 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 [(,)-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 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 247.683 0 Td [(psb)]TJ ET q -1 0 0 1 439.613 454.813 cm +1 0 0 1 388.803 454.813 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 442.751 454.614 Td [(desc)]TJ +/F30 9.9626 Tf 391.942 454.614 Td [(desc)]TJ ET q -1 0 0 1 464.3 454.813 cm +1 0 0 1 413.491 454.813 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 467.438 454.614 Td [(type)]TJ +/F30 9.9626 Tf 416.629 454.614 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -337.655 -19.926 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 +/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 1 395.279 387.067 cm +1 0 0 1 344.47 387.067 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 398.417 386.868 Td [(T)]TJ +/F30 9.9626 Tf 347.608 386.868 Td [(T)]TJ ET q -1 0 0 1 404.275 387.067 cm +1 0 0 1 353.466 387.067 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 407.413 386.868 Td [(base)]TJ +/F30 9.9626 Tf 356.604 386.868 Td [(base)]TJ ET q -1 0 0 1 428.962 387.067 cm +1 0 0 1 378.153 387.067 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 432.101 386.868 Td [(sparse)]TJ +/F30 9.9626 Tf 381.291 386.868 Td [(sparse)]TJ ET q -1 0 0 1 464.11 387.067 cm +1 0 0 1 413.301 387.067 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 467.248 386.868 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ +/F30 9.9626 Tf 416.439 386.868 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -332.234 -19.925 Td [(vmold)]TJ +/F27 9.9626 Tf -332.235 -19.925 Td [(vmold)]TJ 0 g 0 G -/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 -11.956 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)-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 +/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 -11.956 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 29.611 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 1 395.279 319.321 cm +1 0 0 1 344.47 319.321 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 398.417 319.122 Td [(T)]TJ +/F30 9.9626 Tf 347.608 319.122 Td [(T)]TJ ET q -1 0 0 1 404.275 319.321 cm +1 0 0 1 353.466 319.321 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 407.413 319.122 Td [(base)]TJ +/F30 9.9626 Tf 356.604 319.122 Td [(base)]TJ ET q -1 0 0 1 428.962 319.321 cm +1 0 0 1 378.153 319.321 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 432.101 319.122 Td [(vect)]TJ +/F30 9.9626 Tf 381.291 319.122 Td [(vect)]TJ ET q -1 0 0 1 453.65 319.321 cm +1 0 0 1 402.84 319.321 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 456.788 319.122 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 405.978 319.122 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -327.004 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -327.005 -21.918 Td [(On)-383(Return)]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 [(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 -11.956 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 [(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 +/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 -11.956 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 [(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 194.77 0 Td [(psb)]TJ ET q -1 0 0 1 386.7 229.657 cm +1 0 0 1 335.891 229.657 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.838 229.458 Td [(prec)]TJ +/F30 9.9626 Tf 339.029 229.458 Td [(prec)]TJ ET q -1 0 0 1 411.387 229.657 cm +1 0 0 1 360.578 229.657 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 414.525 229.458 Td [(type)]TJ +/F30 9.9626 Tf 363.716 229.458 Td [(type)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -263.82 -31.88 Td [(info)]TJ +/F27 9.9626 Tf -263.821 -31.88 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 +/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 - 139.477 -59.319 Td [(128)]TJ + 139.477 -59.319 Td [(129)]TJ 0 g 0 G ET + endstream endobj -1672 0 obj << -/Length 5988 +1682 0 obj +<< +/Length 5992 >> 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 [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +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 124.986 706.129 Td [(precaply)-375(|)-375(Preconditioner)-375(application)-375(routine)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(precaply)-375(|)-375(Preconditioner)-375(application)-375(routine)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_precaply\050prec,x,y,desc_a,info,trans,work\051)]TJ 0 -11.956 Td [(call)-525(psb_precaply\050prec,x,desc_a,info,trans\051)]TJ @@ -20606,148 +21010,150 @@ BT 0 g 0 G 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 119.331 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 29.611 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(preconditioner)-333(data)-333(structure)]TJ +/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 -120.831 -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 -11.956 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 1 338.658 578.35 cm +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 341.796 578.15 Td [(prec)]TJ +/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ ET q -1 0 0 1 363.345 578.35 cm +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 366.483 578.15 Td [(type)]TJ +/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.51 -19.925 Td [(x)]TJ +/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 33.486 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 +/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 223.496 0 Td [(psb)]TJ +/F30 9.9626 Tf 223.495 0 Td [(psb)]TJ ET q -1 0 0 1 364.616 522.559 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 367.754 522.36 Td [(T)]TJ +/F30 9.9626 Tf 418.564 522.36 Td [(T)]TJ ET q -1 0 0 1 373.612 522.559 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 376.751 522.36 Td [(vect)]TJ +/F30 9.9626 Tf 427.56 522.36 Td [(vect)]TJ ET q -1 0 0 1 398.3 522.559 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 401.438 522.36 Td [(type)]TJ +/F30 9.9626 Tf 452.247 522.36 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 -322.464 -19.926 Td [(desc)]TJ ET q -1 0 0 1 121.81 502.634 cm +1 0 0 1 172.619 502.634 cm []0 d 0 J 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449.109 277.478 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.438 277.279 Td [(type)]TJ +/F30 9.9626 Tf 452.247 277.279 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 -322.464 -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 +/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 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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 +/F8 9.9626 Tf 68.134 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 -14.999 Td [(BICGST)96(ABL:)]TJ +/F27 9.9626 Tf -68.134 -14.999 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 @@ -20924,250 +21336,243 @@ BT 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 -18.984 Td [(a)]TJ +/F27 9.9626 Tf -83.713 -18.984 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.968 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.084 -11.955 Td 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9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 254.134 cm +1 0 0 1 362.845 254.134 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 253.935 Td [(Tspmat)]TJ +/F30 9.9626 Tf 365.983 253.935 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 254.134 cm +1 0 0 1 397.993 254.134 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 253.935 Td [(type)]TJ +/F30 9.9626 Tf 401.131 253.935 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 -18.984 Td [(prec)]TJ +/F27 9.9626 Tf -271.347 -18.984 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 -11.956 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 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(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 -11.956 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 1 312.036 187.329 cm +1 0 0 1 362.845 187.329 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 187.13 Td [(prec)]TJ +/F30 9.9626 Tf 365.983 187.13 Td [(prec)]TJ ET q -1 0 0 1 336.723 187.329 cm +1 0 0 1 387.532 187.329 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 187.13 Td [(type)]TJ +/F30 9.9626 Tf 390.67 187.13 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 -18.984 Td [(b)]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 -11.955 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(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.346 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 -11.955 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(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 0 1 rg 0 0 1 RG /F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 364.616 120.525 cm +1 0 0 1 415.426 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 367.754 120.326 Td [(T)]TJ +/F30 9.9626 Tf 418.564 120.326 Td [(T)]TJ ET q -1 0 0 1 373.612 120.525 cm +1 0 0 1 424.422 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 376.751 120.326 Td [(vect)]TJ +/F30 9.9626 Tf 427.56 120.326 Td [(vect)]TJ ET q -1 0 0 1 398.3 120.525 cm +1 0 0 1 449.109 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.438 120.326 Td [(type)]TJ +/F30 9.9626 Tf 452.247 120.326 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 - -158.08 -29.888 Td [(133)]TJ + -158.081 -29.888 Td [(134)]TJ 0 g 0 G ET + endstream endobj -1703 0 obj << -/Length 6690 +1713 0 obj +<< +/Length 6694 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(x)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]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 -11.956 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(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 +/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]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 -11.956 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(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 ET q -1 0 0 1 415.426 658.507 cm +1 0 0 1 364.616 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 658.308 Td [(T)]TJ +/F30 9.9626 Tf 367.754 658.308 Td [(T)]TJ ET q -1 0 0 1 424.422 658.507 cm +1 0 0 1 373.612 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 658.308 Td [(vect)]TJ +/F30 9.9626 Tf 376.751 658.308 Td [(vect)]TJ ET q -1 0 0 1 449.109 658.507 cm +1 0 0 1 398.3 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 658.308 Td [(type)]TJ +/F30 9.9626 Tf 401.438 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -322.464 -19.427 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 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ +/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 -11.956 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 -19.427 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -19.427 Td [(desc)]TJ ET q -1 0 0 1 172.619 571.832 cm +1 0 0 1 121.81 571.832 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 571.633 Td [(a)]TJ +/F27 9.9626 Tf 125.247 571.633 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 -11.955 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 [(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 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 524.012 cm +1 0 0 1 312.036 524.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 523.813 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 523.813 Td [(desc)]TJ ET q -1 0 0 1 387.532 524.012 cm +1 0 0 1 336.723 524.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 523.813 Td [(type)]TJ +/F30 9.9626 Tf 339.861 523.813 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -19.428 Td [(itmax)]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 -8.877 -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 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itmax)]TJ/F8 9.9626 Tf 29.505 0 Td [(=)-278(1000.)]TJ -68.941 -11.955 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 29.505 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(1.)]TJ +/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 -11.955 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 0 g 0 G /F27 9.9626 Tf -207.006 -19.428 Td [(itrace)]TJ 0 g 0 G -/F8 9.9626 Tf 33.25 0 Td [(If)]TJ/F11 9.9626 Tf 8.912 0 Td [(>)]TJ/F8 9.9626 Tf 10.516 0 Td [(0)-228(prin)28(t)-228(out)-228(an)-228(i)1(nformational)-228(message)-228(ab)-28(out)-228(con)28(v)28(ergence)-228(ev)27(ery)]TJ/F11 9.9626 Tf 265.015 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf -292.787 -11.955 Td [(iterations.)]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 9.548 0 Td [(.)]TJ +/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.)]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 0 g 0 G /F27 9.9626 Tf -67.94 -31.383 Td [(irst)]TJ 0 g 0 G -/F8 9.9626 Tf 21.857 0 Td [(An)-333(in)28(tege)-1(r)-333(sp)-28(ecifying)-333(the)-333(restart)-334(par)1(a)-1(meter.)]TJ 3.049 -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 -11.955 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 [(V)83(alues:)]TJ/F11 9.9626 Tf 37.507 0 Td [(ir)-28(st)-447(>)]TJ/F8 9.9626 Tf 33.134 0 Td [(0.)-750(This)-435(is)-435(emplo)28(y)27(ed)-435(for)-435(the)-435(BiCGST)83(ABL)-435(or)-435(R)28(GMRES)]TJ -70.641 -11.956 Td [(metho)-28(ds,)-333(otherwise)-334(it)-333(is)-333(ignored.)]TJ +/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 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X=* X> XA XI XG X@ XB XD XE XF XJ XK XM XH XL XR XN} XO XT XW XS4C XU XV XY X\ XXNf XZ X[ 9 X]v X^ X_ X` Xa Xb Xc + җ z : ! $ " ) % & ' ( + , 2 *R - / 0 1 4 5 : 8 3' 6 E 9A + ; < = > ? @ A B C D G H K FY I ; T Ls; M N O P Q R S V W Z U|G X \ ] a [ ^ ` c 4 4 bW 4 4 4 4 4^ 4 4 4 +T 4 4 4 < 4 4 4 4 4 4 4 4 4 4 + 4 4 4 4 4! 4$ 4 % 4" 4) 4% ?g 4& 4' 4( 4+ 4. 4* Be 4, = 40 44 4/ X 41 43 46 4: 45 f 47 49 4< 4@ 4; y 4= 4? 4B 4F 4A 4C 4E 4H 4M 4G C 4I 4K 4L 4O 4T 4N \ 4P 4R 4S > 4V 4Y 4U 4W 4_ 4Z κ 4[ 4\ 4] 4^ 4a 4b 4c 4` l 8b +g +/% + +J ? +K " +a ! ) # +t $ & ' ( - * +G + 1 . + / 5 2 + 3 @ 9 6 + 7 = : + ; A > +i ? G B +[ C E F M H +в I K L S N +0 O Q R A Y T + U W X _ Z o [ ] ^ ` #, a c " [ q ' ( ) O ! " # $ % & B / * + - . 5 0 1 3 4 ; 6 ; 7 9 : A < = ? @ E B L C G L F ̨ H J K C N S M ߝ O Q R U Z T Q V X Y ` [ \ ^ _ b q a c q q + q q D q q q q q + RO q D q q q q V q q q q q q q q h q q q q q! q$ q q" q& q) q% \ q' q- q* l q+ q1 q. q/ E q3 q4 q5 q= q; q2 q6 q8 q9 q: q> q? qA q< u q@ qD qB qC qT qE qF qG qI qQ qS q^ qU qV q] q_ q` qa qb qc + Et - Q o L _ 9 xi / { M> | F G H I J KA g + ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c ] ] ] ] ] ] ] ] ] ] ] + ] ] ] ]+ endstream endobj startxref -1157734 +1161702 %%EOF diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index 68b14d6a..38251c6b 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -1142,8 +1142,29 @@ dynamic type corresponding to the desired preconditioner. % \subsection{Data structure Methods} % \label{sec:dataquery} +\subsection{Heap data structure} - +Among the tools routines of sec.~\ref{sec:toolsrout}, we have a number +of sorting utilities; the heap sort is implemented in terms of heaps +having the following signatures: +\begin{description} +\item[\tt psb\_T\_heap]: a heap containing elements of type T, where T + can be \verb|i,s,c,d,z| for integer, real and complex data; +\item[\tt psb\_T\_idx\_heap]: a heap containing elements of type T, as + above, together with an integer index. +\end{description} +Given a heap object, the following methods are defined on it: +\begin{description} +\item[init] Initialize memory; also choose ascending or descending + order; +\item[howmany] Current heap occupancy; +\item[insert] Add an item (or an item and its index); +\item[get\_first] Remove and return the first element; +\item[dump] Print on file; +\item[free] Release memory. +\end{description} +These objects are used in MLD2P4 to implement the factorization +algorithms. %%% Local Variables: %%% mode: latex diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex index a4b54a8e..4e5c7f37 100644 --- a/docs/src/userguide.tex +++ b/docs/src/userguide.tex @@ -111,7 +111,7 @@ by Salvatore Filippone\\ and Alfredo Buttari}\\ University of Rome ``Tor Vergata''.\\[3ex] -April 30, 2015. +May 10, 2016. \end{minipage}} %\addtolength{\textwidth}{\centeroffset} diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index 2af6c8bb..f59a5cd6 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -96,7 +96,7 @@ %\today Software version: 3.4\\ %\today -April 30, 2015. +May 10, 2016. \cleardoublepage \begingroup \renewcommand*{\thepage}{toc} diff --git a/docs/src/util.tex b/docs/src/util.tex index 90c5cc6e..2957c652 100644 --- a/docs/src/util.tex +++ b/docs/src/util.tex @@ -2,7 +2,7 @@ \label{sec:util} We have some utitlities available for input and output of -sparsematrices; the interfaces to these routines are available in the +sparse matrices; the interfaces to these routines are available in the module \verb|psb_util_mod|. diff --git a/test/pargen/runs/ppde.inp b/test/pargen/runs/ppde.inp index e69d75a9..22780a3c 100644 --- a/test/pargen/runs/ppde.inp +++ b/test/pargen/runs/ppde.inp @@ -2,7 +2,7 @@ BICGSTAB Iterative method BICGSTAB CGS BICG BICGSTABL RGMRES BJAC Preconditioner NONE DIAG BJAC CSR Storage format for matrix A: CSR COO JAD -080 Domain size (acutal system is this**3) +040 Domain size (acutal system is this**3) 2 Stopping criterion 1000 MAXIT -1 ITRACE - psb_krylov -- Krylov Methods Driver
+ HREF="node127.html">Iterative Methods
+
- psb_precinit -- Initialize a preconditioner
+ HREF="node121.html">Preconditioner routines
+
- hb_read -- Read a sparse matrix from a file in the
- Harwell-Boeing format
+ HREF="node114.html">Utilities
+
- psb_init -- Initializes PSBLAS parallel
- environment
+ HREF="node96.html">Parallel environment routines
+
- psb_cdall -- Allocates a communication descriptor
+ HREF="node68.html">Data management routines
+
- psb_halo -- Halo Data Communication
+ HREF="node63.html">Communication routines
+
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+
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+ ++ +
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+ + +
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+ Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods + Contents + diff --git a/docs/html/node13.html b/docs/html/node13.html index 4753c381..036b030f 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -1,6 +1,6 @@ - -
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diff --git a/docs/html/node2.html b/docs/html/node2.html index cfc485b0..12ae2cda 100644 --- a/docs/html/node2.html +++ b/docs/html/node2.html @@ -1,6 +1,6 @@ - -
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@@ -71,7 +71,7 @@ passing.The PSBLAS library version 3 is implemented in the Fortran 2003 [17] programming language, with reuse and/or + HREF="node129.html#metcalf">17] programming language, with reuse and/or adaptation of existing Fortran 77 and Fortran 95 software, plus a handful of C routines. @@ -81,11 +81,11 @@ 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 + HREF="node129.html#Sparse03">11]; other works discussing advanced programming in Fortran 2003 include [1,18]; sufficient support for + HREF="node129.html#DesPat:11">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 4.6). @@ -94,7 +94,7 @@ 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 + HREF="node129.html#machiels">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 @@ -105,12 +105,12 @@ 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 + HREF="node129.html#sblas97">8,9], which in its turn is based on the proposal for BLAS on dense matrices [15,5,6]. + HREF="node129.html#BLAS1">15,5,6].
The applicability of sparse iterative solvers to many different areas @@ -144,26 +144,26 @@ computational fluid dynamics applications.
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@@ -60,9 +60,9 @@ 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 + HREF="node129.html#DesignPatterns">13] as detailed in [11]; the type declaration is shown in + HREF="node129.html#Sparse03">11]; the type declaration is shown in figure 4 whereTis a placeholder for the data type and precision variants-
@@ -85,12 +85,13 @@ 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_spasbroutine. -+Figure 4: The PSBLAS defined data type that contains a sparse matrix. -++ @@ -144,71 +145,71 @@ variants are obtained by conversion to/from it. Subsections
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@@ -78,11 +78,10 @@ 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]. + HREF="node129.html#BLACS">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. - +further details on our communication layer see Sec. 7.@@ -127,14 +126,13 @@ is equivalent to a partition of the discretization mesh into sub-domainsCYCLIC(N) andBLOCK, +This choice is consistent with simple data distributions such asCYCLIC(N)andBLOCK, 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]. + HREF="node129.html#METIS">14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. @@ -154,43 +152,43 @@ bottleneck would make this option unattractive in most cases. Subsections
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@@ -59,7 +59,7 @@ is_bld, is_upd, is_asb -- Status checkif (a%is_bld()) then if (a%is_upd()) then -if (a%is_asb()) then +if (a%is_asb()) then
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@@ -61,7 +61,7 @@ is_lower, is_upper, is_triangle, is_unit -- if (a%is_triangle()) then if (a%is_upper()) then if (a%is_lower()) then -if (a%is_unit()) then +if (a%is_unit()) thendiff --git a/docs/html/node32.html b/docs/html/node32.html index 901f3e4e..d18ce4f2 100644 --- a/docs/html/node32.html +++ b/docs/html/node32.html @@ -1,6 +1,6 @@ - -
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@@ -126,8 +126,8 @@ 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]. + HREF="node129.html#2007c">4,3].We denote the sets of internal, boundary and halo points for a given @@ -135,7 +135,7 @@ subdomain by
, 
and ![\includegraphics[scale=0.65]{figures/points.eps}](img13.png)
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@@ -60,7 +60,7 @@ 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 +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. @@ -93,12 +93,13 @@ 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. -++ @@ -122,41 +123,41 @@ private memory. Subsections
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@@ -66,11 +67,12 @@ 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. -+ + diff --git a/docs/html/node48.html b/docs/html/node48.html index 27293ed5..b2aa07f2 100644 --- a/docs/html/node48.html +++ b/docs/html/node48.html @@ -1,95 +1,99 @@ - -
Computational routines - +Heap data structure + - + - - - + + -
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- Next: psb_geaxpby General - Up: userhtml - Previous: Next: Computational routines + Up: Data Structures and Classes + Previous: Preconditioner data structure - Contents
--Computational routines -
++Heap data structure +
-
- -Subsections +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: +-
+
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+
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diff --git a/docs/html/node49.html b/docs/html/node49.html index e4362f61..cc0487f9 100644 --- a/docs/html/node49.html +++ b/docs/html/node49.html @@ -1,281 +1,96 @@ - -psb_geaxpby -- General Dense Matrix Sum - +Computational routines + - + - - - + + + -
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+
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--psb_geaxpby -- General Dense Matrix Sum -
- --This subroutine is an interface to the computational kernel for -dense matrix sum: -
-- - --
-
- - --
-call psb_geaxpby(alpha, x, beta, y, desc_a, info) -
- --
----
-Table 1: -Data types -- ---
-Subroutine -Short Precision Real -psb_geaxpby -Long Precision Real -psb_geaxpby -Short Precision Complex -psb_geaxpby -Long Precision Complex -psb_geaxpby -
- --
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+Computational routines +
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+ +Subsections --
- - -
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- Next: psb_gedot Dot - Up: Computational routines - Previous: Computational routines - Contents - +-
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@@ -128,7 +128,7 @@ internally defined in the PSBLAS software package: For example thepsb_geins,psb_spinsand -psb_cdinsperform the same action (see 6) on +psb_cdinsperform the same action (see 6) on dense matrices, sparse matrices and communication descriptors respectively. Interface overloading allows the usage of the same subroutine @@ -169,26 +169,26 @@ whose current value is3.0.0
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+
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- Next: psb_gedots Generalized - Up: Computational routines - Previous: psb_geaxpby General - Next: psb_gedot Dot + Up: Computational routines + Previous: Computational routines + Contents
--psb_gedot -- Dot Product +
+psb_geaxpby -- General Dense Matrix Sum
-This function computes dot product between two vectors
- and
-.
-
-If and are real vectors
-it computes dot-product as:
-- - --
-
- -Else if and are complex vectors then it computes dot-product as:
+This subroutine is an interface to the computational kernel for
+dense matrix sum:
+ WIDTH="93" HEIGHT="27" BORDER="0"
+ SRC="img19.png"
+ ALT="\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}">
- - +-psb_gedot(x, y, desc_a, info) +call psb_geaxpby(alpha, x, beta, y, desc_a, info)
+
-+-
Table 2: + Table 1: Data types @@ -162,10 +128,24 @@ Data typesFunction + ALT="$y$">,,
+Subroutine Short Precision Real -psb_gedot +psb_geaxpby Long Precision Real -psb_gedot +psb_geaxpby Short Precision Complex -psb_gedot +psb_geaxpby Long Precision Complex -psb_gedot +psb_geaxpby +
- psb_krylov -- Krylov Methods Driver
+ HREF="node127.html">Iterative Methods
+
- psb_precinit -- Initialize a preconditioner
+ HREF="node121.html">Preconditioner routines
+
- hb_read -- Read a sparse matrix from a file in the
- Harwell-Boeing format
+ HREF="node114.html">Utilities
+
- psb_init -- Initializes PSBLAS parallel
- environment
+ HREF="node96.html">Parallel environment routines
+
- psb_cdall -- Allocates a communication descriptor
+ HREF="node68.html">Data management routines
+
- psb_halo -- Halo Data Communication
+ HREF="node63.html">Communication routines
+
![\includegraphics[scale=0.45]{figures/try8x8.eps}](img58.png)
-
-
-![\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}](img57.png){kind=small}
-
-