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-39,6 +39,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds
+language=Fortran + +PSBLAS
@@ -56,9 +59,9 @@ University of Rome ``Tor Vergata'', Italy
-Software version: 3.1 +Software version: 3.2
-June 14, 2013. +March 31st, 2014.
@@ -93,7 +96,7 @@ June 14, 2013. HREF="node10.html">Descriptor data structure
- Methods + HREF="node11.html">Descriptor Methods
- get_local_rows -- Get number of local rows
- get_global_rows -- Get number of global rows
- get_global_cols -- Get number of global cols -
-
+ HREF="node17.html">Clone -- clone current object
- psb_cd_get_large_threshold -- Get threshold for
index mapping switch
@@ -127,11 +122,12 @@ clone--Clone current object
HREF="node21.html">Sparse Matrix class
- Methods + HREF="node22.html">Sparse Matrix Methods
- get_nrows -- Get number of rows in a sparse matrix
- get_ncols -- Get number of columns in a sparse matrix + HREF="node24.html">get_ncols -- Get number of columns in a sparse + matrix
- get_nnzeros -- Get number of nonzero elements in a sparse matrix @@ -145,13 +141,8 @@ of a sparse matrix HREF="node28.html">get_fmt -- Short description of the dynamic type
- is_bld, is_upd, is_asb -- Status check -
-
--clone--Clone current object --
-
+ HREF="node30.html">clone -- Clone current object
- Named Constants
-
--clone--Clone current object -+ HREF="node37.html">clone -- Clone current object +
- psb_init -- Initializes PSBLAS parallel environment + HREF="node87.html">psb_init -- Initializes PSBLAS parallel + environment
- psb_info -- Return information about PSBLAS parallel environment
- psb_exit -- Exit from PSBLAS parallel environment + HREF="node89.html">psb_exit -- Exit from PSBLAS parallel + environment
- psb_get_mpicomm -- Get the MPI communicator
-
- Error handling -
- psb_errpush -- Pushes an error code onto the error - stack + HREF="node104.html">Utilities
- Error handling -
- psb_error -- Prints the error stack content and aborts
- execution
+ HREF="node105.html">Preconditioner routines
+
- psb_set_errverbosity -- Sets the verbosity of error - messages. + HREF="node106.html">psb_precinit -- Initialize a preconditioner
- psb_set_erraction -- Set the type of action to be - taken upon error condition. -
+ HREF="node107.html">psb_precbld -- Builds a preconditioner - Utilities
-
-
+ HREF="node108.html">psb_precaply -- Preconditioner application
+ routine
- 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_vet_read -- Read a dense vector from a - file in the MatrixMarket format -
- mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format -
- - Preconditioner routines
-
-
-
- psb_precinit -- Initialize a preconditioner -
- psb_precbld -- Builds a preconditioner -
- psb_precaply -- Preconditioner application routine -
- psb_precdescr -- Prints a description of current + HREF="node109.html">psb_precdescr -- Prints a description of current preconditioner -
- clone -- clone current
+
- clone -- clone current preconditioner
- - Iterative Methods +
- Iterative Methods
- - Bibliography -
- About this document ... +
- Bibliography +
- About this document ...
diff --git a/docs/html/node1.html b/docs/html/node1.html index 04b86368..34afa5f7 100644 --- a/docs/html/node1.html +++ b/docs/html/node1.html @@ -26,21 +26,21 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
- Next: Next: Introduction - Up: Up: userhtml - Previous: Previous: userhtml
@@ -53,52 +53,52 @@ Contents
-
-
- Introduction -
- General overview
- - Data Structures and Classes
-
-
- Descriptor data structure -
- Sparse Matrix class -
- Dense Vector Data Structure -
- Preconditioner data structure
- - Computational routines -
- Communication routines -
- Data management routines -
- Parallel environment routines -
- Error handling -
- Utilities -
- Preconditioner routines -
- Iterative Methods -
- Bibliography +
- Utilities +
- Preconditioner routines +
- Iterative Methods +
- Bibliography
diff --git a/docs/html/node10.html b/docs/html/node10.html index f9e16893..b35eecab 100644 --- a/docs/html/node10.html +++ b/docs/html/node10.html @@ -18,7 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
- Next: Methods - Up: Next: Descriptor Methods + Up: Data Structures and Classes - Previous: Previous: Data Structures and Classes - Contents
@@ -202,7 +202,7 @@ Specified as: an allocatable integer array of rank two. The Fortran 2003 declaration for
psb_desc_type structures is
as follows:
-
is
not specified, size must agree as well.
@@ -110,8 +110,8 @@ Specified as: an integer value
.
.
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.
@@ -156,8 +156,8 @@ same value on sending and receiving processes.
.
.
.
psb_spasb ... by process 0 (i.e. the root process).
-
-
- -Subsections - -
-
-
- psb_errpush -- Pushes an error code onto the error - stack -
- psb_error -- Prints the error stack content and aborts - execution -
- psb_set_errverbosity -- Sets the verbosity of error - messages. -
- psb_set_erraction -- Set the type of action to be - taken upon error condition. -
+
+
+
+
+
+
-
+
- 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: psb_errpush Pushes - Up: Next: Utilities + Up: userhtml - Previous: Previous: psb_rcv Receive - Contents diff --git a/docs/html/node104.html b/docs/html/node104.html index a129a7de..956ef9a2 100644 --- a/docs/html/node104.html +++ b/docs/html/node104.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
+
-
-
- Next: psb_error Prints - Up: Error handling - Previous: Next: Preconditioner routines + Up: userhtml + Previous: Error handling - Contents
-
-psb_errpush -- Pushes an error code onto the error - stack -
+
+
+
+Utilities
+
+
+
+We have some utitlities available for input and output of
+sparsematrices; the interfaces to these routines are available in the
+module psb_util_mod.
+
+
+ifstarsubroutinesubroutinehb_readRead a sparse matrix from a file in the + Harwell-Boeing format + +
+
+
+
+
+
+
-
+
- Type: +
- Asynchronous. + +
- On Entry +
- + +
- filename +
- The name of the file to be read.
+
+Type:optional. +
+Specified as: a character variable containing a valid file name, or +-, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default:-. +
+ - iunit +
- The Fortran file unit number.
+
+Type:optional. +
+Specified as: an integer value. Only meaningful if filename is not-. +
+
+
-
+
- On Return +
- + +
- a +
- the sparse matrix read from file.
+
+Type:required. +
+Specified as: a structured data of type spdatapsb_Tspmat_type. +
+ - b +
- Rigth hand side(s).
+
+Type: Optional +
+An array of type real or complex, rank 2 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side, otherwise will be left in the UNALLOCATED state. +
+ - mtitle +
- Matrix title.
+
+Type: Optional +
+A charachter variable of length 72 holding a copy of the +matrix title as specified by the Harwell-Boeing format and contained +in the input file. +
+ - iret +
- Error code.
+
+Type: required +
+An integer value; 0 means no error has been detected. +
+
+ifstarsubroutinesubroutinehb_writeWrite a sparse matrix to a file + in the Harwell-Boeing format + +
+
+
+
+
+
+
-
+
- Type: +
- Asynchronous. + +
- On Entry +
- + +
- a +
- the sparse matrix to be written.
+
+Type:required. +
+Specified as: a structured data of type spdatapsb_Tspmat_type. +
+ - b +
- Rigth hand side.
+
+Type: Optional +
+An array of type real or complex, rank 1 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side. +
+ - filename +
- The name of the file to be written to.
+
+Type:optional. +
+Specified as: a character variable containing a valid file name, or +-, in which case the default output unit 6 (i.e. standard output +in Unix jargon) is used. Default:-. +
+ - iunit +
- The Fortran file unit number.
+
+Type:optional. +
+Specified as: an integer value. Only meaningful if filename is not-. +
+ - key +
- Matrix key.
+
+Type: Optional +
+A charachter variable of length 8 holding the +matrix key as specified by the Harwell-Boeing format and to be +written to file. +
+ - mtitle +
- Matrix title.
+
+Type: Optional +
+A charachter variable of length 72 holding the +matrix title as specified by the Harwell-Boeing format and to be +written to file. +
+
+
-
+
- On Return +
- + +
- iret +
- Error code.
+
+Type: required +
+An integer value; 0 means no error has been detected. +
+
+ifstarsubroutinesubroutinemm_mat_readRead a sparse matrix from a + file in the MatrixMarket format + +
+
+
+
+
+
+
-
+
- Type: +
- Asynchronous. + +
- On Entry +
- + +
- filename +
- The name of the file to be read.
+
+Type:optional. +
+Specified as: a character variable containing a valid file name, or +-, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default:-. +
+ - iunit +
- The Fortran file unit number.
+
+Type:optional. +
+Specified as: an integer value. Only meaningful if filename is not-. +
+
+
-
+
- On Return +
- + +
- a +
- the sparse matrix read from file.
+
+Type:required. +
+Specified as: a structured data of type spdatapsb_Tspmat_type. +
+ - iret +
- Error code.
+
+Type: required +
+An integer value; 0 means no error has been detected. +
+
-
-call psb_errpush(err_c, r_name, i_err, a_err) -+ifstarsubroutinesubroutinemm_vet_readRead a dense vector from a + file in the MatrixMarket format +
+
+
- Type:
- Asynchronous. -
- On Entry +
- On Entry +
- + +
- filename +
- The name of the file to be read.
+
+Type:optional. +
+Specified as: a character variable containing a valid file name, or +-, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default:-. +
+ - iunit +
- The Fortran file unit number.
+
+Type:optional. +
+Specified as: an integer value. Only meaningful if filename is not-. +
+
+
-
+
- On Return
- -
- err_c -
- the error code +
- b +
- Rigth hand side(s).
-Scope: local +Type: required
-Type: required +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. +
+ - iret +
- Error code.
-Intent: in. +Type: required
-Specified as: an integer. +An integer value; 0 means no error has been detected.
- - r_name -
- the soutine where the error has been caught. +
+ifstarsubroutinesubroutinemm_mat_writeWrite a sparse matrix to a
+ file in the MatrixMarket format
-Scope: local
+
-Type: required
+
-
+
- Type: +
- Asynchronous. + +
- On Entry +
- + +
- a +
- the sparse matrix to be written.
+
+Type:required.
-Intent: in. +Specified as: a structured data of type spdatapsb_Tspmat_type. +
+ - mtitle +
- Matrix title.
-Specified as: a string. -
- - i_err -
- addional info for error code
+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.
-Scope: local +Type:optional.
-Type: optional +Specified as: a character variable containing a valid file name, or +-, in which case the default output unit 6 (i.e. standard output +in Unix jargon) is used. Default:-. +
+ - iunit +
- The Fortran file unit number.
-Specified as: an integer array -
- - a_err -
- addional info for error code
+Type:optional.
-Scope: local +Specified as: an integer value. Only meaningful if filename is not-. +
+
+
-
+
- On Return +
- + +
- iret +
- Error code.
-Type: optional +Type: required
-Specified as: a string. -
+An integer value; 0 means no error has been detected.
+
-
+
+ + +
+
+
+
+
+
+
++ Next: Preconditioner routines + Up: userhtml + Previous: Error handling + Contents + diff --git a/docs/html/node105.html b/docs/html/node105.html index 7915ba3d..a3906aca 100644 --- a/docs/html/node105.html +++ b/docs/html/node105.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
+
-
-
- Next: psb_set_errverbosity Sets - Up: Error handling - Previous: psb_errpush Pushes - Next: psb_precinit Initialize + Up: userhtml + Previous: Utilities + Contents
-
-psb_error -- Prints the error stack content and aborts - execution -
+
+
+
+Preconditioner routines
+
-
-call psb_error(icontxt) -+The base PSBLAS library contains the implementation of two simple +preconditioning techniques: -
-
-
-
- Type: -
- Asynchronous. - -
- On Entry -
- - -
- icontxt -
- the communication context.
-
-Scope: global -
-Type: optional -
-Intent: in. -
-Specified as: an integer. -
-
-
+
- Diagonal Scaling + +
- Block Jacobi with ILU(0) factorization + +
psb_prec_mod.
+ +Subsections + +
-
+
- 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 +
diff --git a/docs/html/node106.html b/docs/html/node106.html index d5c8c56e..c8f454e3 100644 --- a/docs/html/node106.html +++ b/docs/html/node106.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
+ HREF="node105.html">
@@ -40,25 +40,24 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Next: psb_set_erraction Set + HREF="node107.html">psb_precbld Builds Up: Error handling + HREF="node105.html">Preconditioner routines Previous: psb_error Prints + HREF="node105.html">Preconditioner routines Contents
-
-psb_set_errverbosity -- Sets the verbosity of error
- messages.
+
+psb_precinit -- Initialize a preconditioner
-call psb_set_errverbosity(v) +call psb_precinit(prec, ptype, info)
@@ -69,16 +68,70 @@ call psb_set_errverbosity(v)
-Scope: global +
Type: required
Intent: in.
-Specified as: an integer. +Specified as: a character string, see usage notes. +
+
+Type: required +
+Intent: inout. +
+Specified as: a preconditioner data structure precdatapsb_prec_type. +
+Type: required +
+Intent: out. +
+Error code: if no error, 0 is returned. +
string as follows3:
+-
+
- 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.
-
+
-
- Next: Utilities - Up: Error handling + Next: psb_precaply Preconditioner + Up: Preconditioner routines Previous: psb_set_errverbosity Sets - psb_precinit Initialize + Contents
-
-psb_set_erraction -- Set the type of action to be
- taken upon error condition.
+
+psb_precbld -- Builds a preconditioner
-call psb_set_erraction(err_act) +call psb_precbld(a, desc_a, prec, info,amold,vmold)
- Type: -
- Asynchronous.
+
- Synchronous.
- On Entry
- -
- err_act -
- the type of action. +
- a +
- the system sparse matrix.
+Scope: local
+
+Type: required +
+Intent: in, target. +
+Specified as: a sparse matrix data structure spdatapsb_Tspmat_type. +
+ - prec +
- the preconditioner.
+
+Scope: local
-Scope: global +Type: required +
+Intent: inout. +
+Specified as: an already initialized precondtioner data structure precdatapsb_prec_type +
+ - desc_a +
- the problem communication descriptor.
+Scope: local
Type: required
+Intent: in, target. +
+Specified as: a communication descriptor data structure descdatapsb_desc_type. +
+ - amold +
- The desired dynamic type for the internal matrix storage.
+
+Scope: local. +
+Type: optional. +
Intent: in.
-Specified as: an integer. Possible values:psb_act_ret, -psb_act_abort. +Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. +
+ - vmold +
- The desired dynamic type for the internal vector storage.
+
+Scope: local. +
+Type: optional. +
+Intent: in. +
+Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. + +
-
-call psb_errcomm(icontxt, err) -+
-
+
- On Return +
- + +
- prec +
- the preconditioner.
+
+Scope: local +
+Type: required +
+Intent: inout. +
+Specified as: a precondtioner data structure precdatapsb_prec_type +
+ - info +
- Error code.
+
+Scope: local +
+Type: required +
+Intent: out. +
+An integer value; 0 means no error has been detected. +
+
diff --git a/docs/html/node108.html b/docs/html/node108.html index eaf7ea67..ca798bde 100644 --- a/docs/html/node108.html +++ b/docs/html/node108.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
+
-
-
- Next: hb_read Read - Up: userhtml - Previous: psb_set_erraction Set - Next: psb_precdescr Prints + Up: Preconditioner routines + Previous: psb_precbld Builds + Contents
-
-
-
-Utilities
-
++psb_precaply -- Preconditioner application + routine +
-We have some utitlities available for input and output of
-sparsematrices; the interfaces to these routines are available in the
-module psb_util_mod.
+
+call psb_precaply(prec,x,y,desc_a,info,trans,work) +call psb_precaply(prec,x,desc_a,info,trans) +
-
- -Subsections +
-
+
- Type: +
- Synchronous. + +
- On Entry +
- + +
- prec +
- the preconditioner.
+Scope: local
+
+Type: required +
+Intent: in. +
+Specified as: a preconditioner data structure precdatapsb_prec_type. +
+ - x +
- the source vector.
+Scope: local
+
+Type: required +
+Intent: inout. +
+Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
+ - desc_a +
- the problem communication descriptor.
+Scope: local
+
+Type: required +
+Intent: in. +
+Specified as: a communication data structure descdatapsb_desc_type. +
+ - trans +
- Scope:
+
+Type: optional +
+Intent: in. +
+Specified as: a character. +
+ - work +
- an optional work space
+Scope: local
+
+Type: optional +
+Intent: inout. +
+Specified as: a double precision array. +
+
+
-
+
- On Return +
- + +
- y +
- the destination vector.
+Scope: local
+
+Type: required +
+Intent: inout. +
+Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
+ - info +
- Error code.
+
+Scope: local +
+Type: required +
+Intent: out. +
+An integer value; 0 means no error has been detected. +
+
-
-
- 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_vet_read -- Read a dense vector from a - file in the MatrixMarket format -
- mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format -
diff --git a/docs/html/node109.html b/docs/html/node109.html index fd3b3bc3..6bfcf880 100644 --- a/docs/html/node109.html +++ b/docs/html/node109.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
+
-
-
- Next: hb_write Write - Up: Utilities - Previous: Utilities - Next: clone clone + Up: Preconditioner routines + Previous: psb_precaply Preconditioner + Contents
-
-hb_read -- Read a sparse matrix from a file in the
- Harwell-Boeing format
+
+psb_precdescr -- Prints a description of current
+ preconditioner
-call hb_read(a, iret, iunit, filename, b, mtitle) +call psb_precdescr(prec) +call psb_precdescr(prec, iout)
@@ -66,91 +67,33 @@ call hb_read(a, iret, iunit, filename, b, mtitle)
-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: -.
--Type:optional. +Intent: in.
-Specified as: an integer value. Only meaningful if filename is not
-.
+Specified as: a preconditioner data structure precdatapsb_prec_type.
-
-
-
- On Return -
- - -
- a -
- the sparse matrix read from file.
-
-Type:required. + - iout +
- output unit.
+Scope: local
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
- - b -
- Rigth hand side(s).
+Type: optiona
-Type: Optional +Intent: in.
-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. +Specified as: an integer number.
-
- - -
-
-
-
-
-
-
-- Next: hb_write Write - Up: Utilities - Previous: Utilities - Contents - +
diff --git a/docs/html/node11.html b/docs/html/node11.html index c7927510..35ca791c 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
-
-
- Next: Next: get_local_rows Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor data structure - Contents
-Methods -
+Descriptor Methods + + +
diff --git a/docs/html/node110.html b/docs/html/node110.html index 845ada16..00b81b72 100644 --- a/docs/html/node110.html +++ b/docs/html/node110.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
+
-
-
- Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read - Next: Iterative Methods + Up: Preconditioner routines + Previous: psb_precdescr Prints + Contents
-
-hb_write -- Write a sparse matrix to a file
- in the Harwell-Boeing format
+
+clone -- clone current
+ preconditioner
-
-call hb_write(a, iret, iunit, filename, key, rhs, mtitle) +call prec%clone(precout,info)
@@ -66,59 +64,14 @@ call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
-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. -
-Type:optional. -
-Specified as: a character variable containing a valid file name, or -
-, in which case the default output unit 6 (i.e. standard output
-in Unix jargon) is used. Default: -.
--Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not
-.
--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. -
-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. -
@@ -126,40 +79,16 @@ written to file.
-Type: required -
-An integer value; 0 means no error has been detected. +
-
- - -
-
-
-
-
-
-
-- Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read - Contents - +
diff --git a/docs/html/node111.html b/docs/html/node111.html index 61c4918f..0b4f7dca 100644 --- a/docs/html/node111.html +++ b/docs/html/node111.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
+
-
-
- Next: mm_vet_read Read - Up: Utilities - Previous: hb_write Write - Next: psb_krylov Krylov + Up: userhtml + Previous: clone clone + Contents
-
-mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format -
- --
-call mm_mat_read(a, iret, iunit, filename) -- -
-
-
-
- Type: -
- Asynchronous. - -
- On Entry -
- - -
- filename -
- The name of the file to be read.
-
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default:-. -
- - iunit -
- The Fortran file unit number.
+
+
-Type:optional. -
-Specified as: an integer value. Only meaningful if filename is not-. -
-
-
-
-
- On Return -
- - -
- a -
- the sparse matrix read from file.
-
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
- - iret -
- Error code.
-
-Type: required -
-An integer value; 0 means no error has been detected. -
-
psb_krylov_mod.
+ +Subsections + + + +
diff --git a/docs/html/node112.html b/docs/html/node112.html index 2cd785a4..5b016e2d 100644 --- a/docs/html/node112.html +++ b/docs/html/node112.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
-
+
+
-
- Next: mm_mat_write Write - Up: Utilities - Previous: mm_mat_read Read - Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods + Contents
-
-mm_vet_read -- Read a dense vector from a
- file in the MatrixMarket format
+
+
+psb_krylov -- Krylov Methods Driver
+ Routine
-
-call mm_vet_read(b, iret, iunit, filename)
-
+
+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: -
- Asynchronous.
+
- Synchronous.
- - On Entry +
- On Entry
- -
- filename -
- The name of the file to be read. +
- 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:optional. +Type: required
-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:-. +Intent: in. +
+Specified as: a structured data of type spdatapsb_Tspmat_type.
- - iunit -
- The Fortran file unit number. +
- prec +
- The data structure containing the preconditioner.
+
+Scope: local +
+Type: required
-Type:optional. +Intent: in.
-Specified as: an integer value. Only meaningful if filename is not-. +Specified as: a structured data of type precdatapsb_prec_type.
-
+Scope: local +
+Type: required +
+Intent: in. +
+Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
+Scope: local +
+Type: required +
+Intent: inout. +
+Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
+Scope: global +
+Type: required +
+Intent: in. +
+Specified as: a real number. +
+Scope: local +
+Type: required +
+Intent: in. +
+Specified as: a structured data of type descdatapsb_desc_type. +
+Scope: global +
+Type: optional +
+Intent: in. +
+Default:
.
++Specified as: an integer variable
.
+
print out an informational message about
+ convergence every 
iterations.
++Scope: global +
+Type: optional +
+Intent: in. +
+Scope: global +
+Type: optional. +
+Intent: in. +
+Values:
. This is employed for the BiCGSTABL or RGMRES
+methods, otherwise it is ignored.
-
-
+
+Scope: global +
+Type: optional. +
+Intent: in. +
+Values: 1: use the normwise backward error, 2: use the scaled 2-norm +of the residual. Default: 2. +
-Type: required +Scope: local +
+Type: required +
+Intent: inout. +
+Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
-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. +Scope: global +
+Type: optional +
+Intent: out. +
+Returned as: an integer variable.
+Scope: global +
+Type: optional +
+Intent: out. +
+Returned as: a real number. +
; only
+ available with the 
method.
++Scope: global +
+Type: optional +
+Intent: out. +
+Returned as: a real number. +
+Scope: local +
Type: required
+Intent: out. +
An integer value; 0 means no error has been detected.
-
+ +
+ +
+ +
+
+ + +
+
+
+
+
+
+
++ Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods + Contents + diff --git a/docs/html/node113.html b/docs/html/node113.html index 4ca5dafb..c3efc95f 100644 --- a/docs/html/node113.html +++ b/docs/html/node113.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -
-
-
+
+
-
- Next: Preconditioner routines - Up: Utilities - Previous: mm_vet_read Read - Next: About this document ... + Up: userhtml + Previous: psb_krylov Krylov + Contents -
-
+
+ +
+Bibliography +
- 1 +
-
+ D. Barbieri, V. Cardellini, S. Filippone and D. Rouson
+Design Patterns for Scientific Computations on Sparse Matrices,
+ HPSS 2011, Algorithms and Programming Tools for Next-Generation High-Performance Scientific Software, Bordeaux, Sep. 2011
-
-mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format -
- --call mm_mat_write(a, mtitle, iret, iunit, filename) -
--
-
- Type: -
- Asynchronous. - -
- On Entry -
- - -
- a -
- the sparse matrix to be written.
-
-Type:required. -
-Specified as: a structured data of type spdatapsb_Tspmat_type. -
- - mtitle -
- Matrix title.
-
-Type: required -
-A charachter variable holding a descriptive title for the matrix to be - written to file. -
- - filename -
- The name of the file to be written to.
-
-Type:optional. -
-Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output -in Unix jargon) is used. Default:-. -
- - iunit -
- The Fortran file unit number.
-
-Type:optional. ++
- 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
-Specified as: an integer value. Only meaningful if filename is not-. -
-
-
-
-
- On Return +
- 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
- - -
- iret -
- Error code. + 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,
-Type: required +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,
-An integer value; 0 means no error has been detected. -
+ACM Transactions on Mathematical Software, to appear.
+ - 12 +
- +S. Filippone, P. D'Ambra, M. Colajanni, +Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics +Applications Code on Linux Clusters, +in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, +Parallel Computing - Advances & Current Issues, +pp. 441-448, Imperial College Press, 2002. +
- 13 +
-
+ Gamma, E., Helm, R., Johnson, R., and Vlissides,
+ J. 1995.
+ Design Patterns: Elements of Reusable Object-Oriented Software.
+ Addison-Wesley.
+
+
+
- 14 +
-
+Karypis, G. and Kumar, V.,
+METIS: Unstructured Graph Partitioning and Sparse Matrix
+ Ordering System.
+Minneapolis, MN 55455: University of Minnesota, Department of
+ Computer Science, 1995.
+Internet Address:
http://www.cs.umn.edu/~karypis. + - 15 +
-
+Lawson, C., Hanson, R., Kincaid, D. and Krogh, F.,
+ Basic Linear Algebra Subprograms for Fortran usage,
+ACM Trans. Math. Softw. vol. 5, 38-329, 1979.
+
+
+
- 16 +
- +Machiels, L. and Deville, M. +Fortran 90: An entry to object-oriented programming for the solution + of partial differential equations. +ACM Trans. Math. Softw. vol. 23, 32-49. +
- 17 +
- +Metcalf, M., Reid, J. and Cohen, M. +Fortran 95/2003 explained. +Oxford University Press, 2004. +
- 18 +
-
+Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The
+ Object-Oriented Way. Cambridge University Press (2011)
+
+
+
- 19 +
- +M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, +MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, +MIT Press, 1998.
diff --git a/docs/html/node114.html b/docs/html/node114.html index b28c038f..4c0a01ac 100644 --- a/docs/html/node114.html +++ b/docs/html/node114.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-Preconditioner routines - +About this document ... + @@ -18,78 +18,52 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - - -
-
+
-
-
- Next: psb_precinit Initialize - Up: Up: userhtml - Previous: mm_mat_write Write - Previous: Bibliography + Contents
-- -
-Preconditioner routines ++About this document ...
- ++This document was generated using the +LaTeX2HTML translator Version 2008 (1.71)
-The base PSBLAS library contains the implementation of two simple -preconditioning techniques: - -
-
-
- Diagonal Scaling - -
- Block Jacobi with ILU(0) factorization - -
psb_prec_mod. - +Copyright © 1993, 1994, 1995, 1996, +Nikos Drakos, +Computer Based Learning Unit, University of Leeds. +
+Copyright © 1997, 1998, 1999, +Ross Moore, +Mathematics Department, Macquarie University, Sydney.-
- -Subsections - --
-
- 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 -
+ latex2html -local_icons -noaddress -dir ../../html userhtml.tex ++The translation was initiated by Salvatore Filippone on 2014-03-20
diff --git a/docs/html/node12.html b/docs/html/node12.html index 2cf26230..495f9491 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: get_local_cols Get - Up: Up: Descriptor data structure - Previous: Methods - Previous: Descriptor Methods + Contents
diff --git a/docs/html/node13.html b/docs/html/node13.html index f561844c..694235ed 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: get_global_rows Get - Up: Up: Descriptor data structure - Previous: Previous: get_local_rows Get - Contents
@@ -62,12 +62,12 @@ nc = desc%get_local_cols()-
-
- On Entry -
- -
- Type:
- Asynchronous. +
- On Entry +
- +
- desc
- the communication descriptor.
diff --git a/docs/html/node14.html b/docs/html/node14.html index 5df37c11..2d470546 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: get_global_cols Get - Up: Up: Descriptor data structure - Previous: Previous: get_local_cols Get - Contents
@@ -62,12 +62,12 @@ nr = desc%get_global_rows()-
-
- On Entry -
- -
- Type:
- Asynchronous. +
- On Entry +
- +
- desc
- the communication descriptor.
diff --git a/docs/html/node15.html b/docs/html/node15.html index 418fba33..81eb03f6 100644 --- a/docs/html/node15.html +++ b/docs/html/node15.html @@ -18,6 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds + @@ -25,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: get_context Get communication context - Up: Next: get_context Get + Up: Descriptor data structure - Previous: Previous: get_global_rows Get - Contents
diff --git a/docs/html/node16.html b/docs/html/node16.html index 92a12ccb..0cb0bf66 100644 --- a/docs/html/node16.html +++ b/docs/html/node16.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_context--Get communication context - +get_context -- Get communication context + @@ -19,43 +19,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + -
-
+
-
-
- Next: clone Clone current object - Up: Data Structures and Classes - Previous: Next: Clone clone + Up: Descriptor data structure + Previous: get_global_cols Get - Contents
--
+-get_context--Get communication context --+get_context -- Get communication context +
+ +ictxt = desc%get_context()
diff --git a/docs/html/node17.html b/docs/html/node17.html index 2085dd2b..d4ca49a8 100644 --- a/docs/html/node17.html +++ b/docs/html/node17.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -clone--Clone current object - +Clone -- clone current object + @@ -18,44 +18,44 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - + -
-
+
-
-
- Next: Next: psb_cd_get_large_threshold Get - Up: Data Structures and Classes - Previous: get_context Get communication context - Up: Descriptor data structure + Previous: get_context Get + Contents
--
+-clone--Clone current object --+Clone -- clone current object +
+ +call desc%clone(descout,info)
@@ -90,21 +90,6 @@ Scope: local.
- -Subsections - --
-
- psb_cd_get_large_threshold -- Get threshold for - index mapping switch -
- psb_cd_set_large_threshold -- Set threshold for - index mapping switch -
- Named Constants -
diff --git a/docs/html/node18.html b/docs/html/node18.html index 180452f9..109f077e 100644 --- a/docs/html/node18.html +++ b/docs/html/node18.html @@ -20,42 +20,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + -
-
+
-
-
- Next: Next: psb_cd_set_large_threshold Set - Up: clone Clone current object - Previous: clone Clone current object - Up: Descriptor data structure + Previous: Clone clone + Contents
-+
psb_cd_get_large_threshold -- Get threshold for index mapping switch
+ith = psb_cd_get_large_threshold()
diff --git a/docs/html/node19.html b/docs/html/node19.html index 282a2184..2e24720c 100644 --- a/docs/html/node19.html +++ b/docs/html/node19.html @@ -20,42 +20,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + -
-
+
-
-
- Next: Next: Named Constants - Up: clone Clone current object - Previous: Up: Descriptor data structure + Previous: psb_cd_get_large_threshold Get - Contents
-+
psb_cd_set_large_threshold -- Set threshold for index mapping switch
+call psb_cd_set_large_threshold(ith)
diff --git a/docs/html/node2.html b/docs/html/node2.html index 74a10e67..7ff21d98 100644 --- a/docs/html/node2.html +++ b/docs/html/node2.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: General overview - Up: Up: userhtml - Previous: Previous: Contents - Contents
@@ -71,7 +71,7 @@ passing.The PSBLAS library version 3 is implemented in the Fortran 2003 [17] programming language, with reuse and/or + HREF="node113.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="node113.html#Sparse03">11]; other works discussing advanced programming in Fortran 2003 include [1,18]; sufficient support for + HREF="node113.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="node113.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="node113.html#sblas97">8,9], which in its turn is based on the proposal for BLAS on dense matrices [15,5,6]. + HREF="node113.html#BLAS1">15,5,6].
The applicability of sparse iterative solvers to many different areas @@ -144,26 +144,26 @@ computational fluid dynamics applications.
-
-
-
-
- Next: Next: General overview - Up: Up: userhtml - Previous: Previous: Contents - Contents diff --git a/docs/html/node20.html b/docs/html/node20.html index a0f8f472..4faac3eb 100644 --- a/docs/html/node20.html +++ b/docs/html/node20.html @@ -19,38 +19,38 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + -
-
+
-
-
- Next: Next: Sparse Matrix class - Up: clone Clone current object - Previous: Up: Descriptor data structure + Previous: psb_cd_set_large_threshold Set - Contents
-+
Named Constants diff --git a/docs/html/node21.html b/docs/html/node21.html index 03a12bb1..43ebebf6 100644 --- a/docs/html/node21.html +++ b/docs/html/node21.html @@ -18,40 +18,40 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + -
-
-
-
- Next: Methods - Up: Next: Sparse Matrix Methods + Up: Data Structures and Classes - Previous: Previous: Named Constants - Contents
-+
Sparse Matrix class @@ -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="node113.html#DesignPatterns">13] as detailed in [11]; the type declaration is shown in + HREF="node113.html#Sparse03">11]; the type declaration is shown in figure 4 whereTis a placeholder for the data type and precision variants-
@@ -85,7 +85,7 @@ 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
- Methods -
- Sparse Matrix Methods +
- get_nrows -- Get number of rows in a sparse matrix -
- get_ncols -- Get number of columns 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 +
- clone -- Clone current object +
- Named Constants
- Methods -
- 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_geaxpby -- General Dense Matrix Sum -
- psb_gedot -- Dot Product -
- psb_gedots -- Generalized Dot Product -
- psb_geamax -- Infinity-Norm of Vector -
- psb_geamaxs -- Generalized Infinity Norm -
- psb_geasum -- 1-Norm of Vector -
- psb_geasums -- Generalized 1-Norm of Vector -
- psb_genrm2 -- 2-Norm of Vector -
- psb_genrm2s -- Generalized 2-Norm of Vector -
- psb_spnrm1 -- 1-Norm of Sparse Matrix -
- psb_spnrmi -- Infinity Norm of Sparse Matrix +
- psb_spmm -- Sparse Matrix by Dense Matrix + Product
- psb_spmm -- Sparse Matrix by Dense Matrix Product -
- psb_spsm -- Triangular System Solve
- alpha
- the scalar
.
@@ -163,13 +163,13 @@ specified in Table 1. The rank of
must be the same of 
.
- beta
- the scalar
.
@@ -184,7 +184,7 @@ Specified as: a number of the data type indicated in Table .
@@ -196,7 +196,7 @@ 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 psb_desc_type.
- y
- the local portion of result submatrix .
@@ -254,26 +254,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_gedot Dot - Up: Up: Computational routines - Previous: Previous: Computational routines - Contents diff --git a/docs/html/node41.html b/docs/html/node41.html index 6e6bc740..07d301b1 100644 --- a/docs/html/node41.html +++ b/docs/html/node41.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_gedots Generalized - Up: Up: Computational routines - Previous: Previous: psb_geaxpby General - Contents
@@ -61,7 +61,7 @@ This function computes dot product between two vectors and
.
@@ -69,7 +69,7 @@ If and are real vectors
it computes dot-product as:
@@ -82,7 +82,7 @@ dot \leftarrow x^T y
-->
@@ -92,7 +92,7 @@ Else if and are complex vectors then it computes dot-product as:
@@ -116,7 +116,7 @@ dot \leftarrow x^H y psb_gedot(x, y, desc_a, info)
-+Table 2: Data types @@ -130,7 +130,7 @@ Data types WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">,
Function @@ -181,14 +181,14 @@ Table 2. The rank of must be the same of .
- y
- the local portion of global dense matrix
.
@@ -201,7 +201,7 @@ 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 2. The rank of must be the same of psb_desc_type. WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"> and
.
@@ -253,26 +253,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_gedots Generalized - Up: Up: Computational routines - Previous: Previous: psb_geaxpby General - Contents diff --git a/docs/html/node42.html b/docs/html/node42.html index c739482a..d4677020 100644 --- a/docs/html/node42.html +++ b/docs/html/node42.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_geamax Infinity-Norm - Up: Up: Computational routines - Previous: Previous: psb_gedot Dot - Contents
@@ -61,7 +61,7 @@ two dense matrices and :
@@ -88,10 +88,10 @@ used. If and are of rank one, then 
is a scalar, else it
is a rank one array.
@@ -101,7 +101,7 @@ is a rank one array.
call psb_gedots(res, x, y, desc_a, info)
-+Table 3: Data types @@ -109,13 +109,13 @@ Data types, , Subroutine @@ -166,14 +166,14 @@ Table 3. The rank of must be the same of .
- y
- the local portion of global dense matrix
.
@@ -186,7 +186,7 @@ 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 3. The rank of must be the same of psb_desc_type. WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"> and
.
@@ -239,26 +239,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_geamax Infinity-Norm - Up: Up: Computational routines - Previous: Previous: psb_gedot Dot - Contents diff --git a/docs/html/node43.html b/docs/html/node43.html index 49b3e39c..0c527c1d 100644 --- a/docs/html/node43.html +++ b/docs/html/node43.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_geamaxs Generalized - Up: Up: Computational routines - Previous: Previous: psb_gedots Generalized - Contents
@@ -95,7 +95,7 @@ amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)} -->
@@ -109,7 +109,7 @@ psb_geamax(x, desc_a, info)
-+Table 4: Data types @@ -117,7 +117,7 @@ Data types
-
-
-
-
- Next: Next: psb_geamaxs Generalized - Up: Up: Computational routines - Previous: Previous: psb_gedots Generalized - Contents diff --git a/docs/html/node44.html b/docs/html/node44.html index 7dc35c83..5db91d04 100644 --- a/docs/html/node44.html +++ b/docs/html/node44.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_geasum 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_geamax Infinity-Norm - Contents
@@ -84,7 +84,7 @@ call psb_geamaxs(res, x, desc_a, info)
-+Table 5: Data types @@ -92,7 +92,7 @@ Data types
-
-
-
-
- Next: Next: psb_geasum 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_geamax Infinity-Norm - Contents diff --git a/docs/html/node45.html b/docs/html/node45.html index 6d586a35..91fb7b58 100644 --- a/docs/html/node45.html +++ b/docs/html/node45.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_geasums Generalized - Up: Up: Computational routines - Previous: Previous: psb_geamaxs Generalized - Contents
@@ -108,7 +108,7 @@ psb_geasum(x, desc_a, info)
-+Table 6: Data types @@ -216,26 +216,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_geasums Generalized - Up: Up: Computational routines - Previous: Previous: psb_geamaxs Generalized - Contents diff --git a/docs/html/node46.html b/docs/html/node46.html index f34d9c56..09fe67ca 100644 --- a/docs/html/node46.html +++ b/docs/html/node46.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_genrm2 2-Norm - Up: Up: Computational routines - Previous: Previous: psb_geasum 1-Norm - Contents
@@ -128,7 +128,7 @@ call psb_geasums(res, x, desc_a, info)
-+Table 7: Data types @@ -136,7 +136,7 @@ Data types
-
-
-
-
- Next: Next: psb_genrm2 2-Norm - Up: Up: Computational routines - Previous: Previous: psb_geasum 1-Norm - Contents diff --git a/docs/html/node47.html b/docs/html/node47.html index be45f4c7..5b0d1643 100644 --- a/docs/html/node47.html +++ b/docs/html/node47.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_genrm2s Generalized - Up: Up: Computational routines - Previous: Previous: psb_geasums Generalized - Contents
@@ -103,7 +103,7 @@ nrm2 \leftarrow \sqrt{x^H x}
-+Table 8: Data types @@ -111,7 +111,7 @@ Data types
-
-
-
-
- Next: Next: psb_genrm2s Generalized - Up: Up: Computational routines - Previous: Previous: psb_geasums Generalized - Contents diff --git a/docs/html/node48.html b/docs/html/node48.html index 1f94633a..288a04f0 100644 --- a/docs/html/node48.html +++ b/docs/html/node48.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_spnrm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_genrm2 2-Norm - Contents
@@ -84,7 +84,7 @@ call psb_genrm2s(res, x, desc_a, info)
-+Table 9: Data types @@ -92,7 +92,7 @@ Data types
-
-
-
-
- Next: Next: psb_spnrm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_genrm2 2-Norm - Contents diff --git a/docs/html/node49.html b/docs/html/node49.html index fbc67fad..92d88edc 100644 --- a/docs/html/node49.html +++ b/docs/html/node49.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_spnrmi Infinity - Up: Up: Computational routines - Previous: Previous: psb_genrm2s Generalized - Contents
@@ -71,7 +71,7 @@ nrm1 \leftarrow \|A\|_1 -->
@@ -92,7 +92,7 @@ where:
-+Table 10: Data types @@ -192,26 +192,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_spnrmi Infinity - Up: Up: Computational routines - Previous: Previous: psb_genrm2s Generalized - Contents diff --git a/docs/html/node5.html b/docs/html/node5.html index 073edf9d..47ffcaec 100644 --- a/docs/html/node5.html +++ b/docs/html/node5.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: Application structure - Up: Up: General overview - Previous: Previous: Basic Nomenclature - Contents
@@ -169,26 +169,26 @@ whose current value is3.0.0
-
-
-
-
- Next: Next: Application structure - Up: Up: General overview - Previous: Previous: Basic Nomenclature - Contents diff --git a/docs/html/node50.html b/docs/html/node50.html index 71a1f2c0..44c83b1a 100644 --- a/docs/html/node50.html +++ b/docs/html/node50.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_spmm Sparse - Up: Up: Computational routines - Previous: Previous: psb_spnrm1 1-Norm - Contents
@@ -92,7 +92,7 @@ where:
-+Table 11: Data types @@ -192,26 +192,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_spmm Sparse - Up: Up: Computational routines - Previous: Previous: psb_spnrm1 1-Norm - Contents diff --git a/docs/html/node51.html b/docs/html/node51.html index ce88a826..309dd6f8 100644 --- a/docs/html/node51.html +++ b/docs/html/node51.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_spsm Triangular - Up: Up: Computational routines - Previous: Previous: psb_spnrmi Infinity - Contents
-psb_spmm -- Sparse Matrix by Dense Matrix Product +psb_spmm -- Sparse Matrix by Dense Matrix + Product
@@ -69,7 +70,7 @@ y \leftarrow \alpha A x + \beta y -->
- is the global dense matrix
- is the global dense matrix
@@ -151,7 +152,7 @@ where:
-+Table 12: Data types @@ -165,13 +166,13 @@ Data types WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">,, ,
Subroutine @@ -212,7 +213,7 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &- alpha
- the scalar
.
@@ -260,13 +261,13 @@ Table 12. The rank of must be the same of .
- beta
- the scalar
.
@@ -281,7 +282,7 @@ Specified as: a number of the data type indicated in Table . @@ -295,7 +296,7 @@ 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 12. The rank of must be the same of and with
the TARGET attribute.
@@ -368,7 +369,7 @@ the TARGET attribute.
- y
- the local portion of result matrix
.
@@ -398,26 +399,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_spsm Triangular - Up: Up: Computational routines - Previous: Previous: psb_spnrmi Infinity - Contents diff --git a/docs/html/node52.html b/docs/html/node52.html index 00882f63..ba079645 100644 --- a/docs/html/node52.html +++ b/docs/html/node52.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: Communication routines - Up: Up: Computational routines - Previous: Previous: psb_spmm Sparse - Contents
@@ -92,16 +92,16 @@ where: SRC="img20.png" ALT="$x$">- is the global dense matrix
- is the global dense matrix
@@ -131,7 +131,7 @@ call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
-+Table 13: Data types @@ -145,16 +145,16 @@ Data types WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">,, 
, ,
Subroutine @@ -188,7 +188,7 @@ Data types- alpha
- the scalar
.
@@ -237,13 +237,13 @@ Table 13. The rank of must be the same of .
- beta
- the scalar
.
@@ -258,7 +258,7 @@ Specified as: a number of the data type indicated in Table . @@ -272,7 +272,7 @@ 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 13. The rank of must be the same of 
@@ -412,7 +412,7 @@ TARGET attribute.- y
- the local portion of global dense matrix
.
@@ -443,26 +443,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: Communication routines - Up: Up: Computational routines - Previous: Previous: psb_spmm Sparse - Contents diff --git a/docs/html/node53.html b/docs/html/node53.html index 8f330866..5e1720d6 100644 --- a/docs/html/node53.html +++ b/docs/html/node53.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_halo Halo - Up: Up: userhtml - Previous: Previous: psb_spsm Triangular - Contents
@@ -64,13 +64,13 @@ routines not tied to a discretization space see Subsections-
-
- psb_halo -- Halo Data Communication -
- psb_ovrl -- Overlap Update -
- psb_gather -- Gather Global Dense Matrix -
- psb_scatter -- Scatter Global Dense Matrix
-
-
-
- Next: Next: psb_ovrl Overlap - Up: Up: Communication routines - Previous: Previous: Communication routines - Contents
@@ -87,7 +87,7 @@ where:
-+Table 14: Data types @@ -95,7 +95,7 @@ Data types,
-
+
+
+
-
@@ -168,7 +173,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
- alpha
- the scalar .
@@ -180,7 +185,7 @@ Intent: in.
Default:
Specified as: a number of the data type indicated in Table 14. @@ -233,7 +238,7 @@ Table 14. - info
- the local portion of result submatrix .
@@ -247,7 +252,7 @@ An integer value that contains an error code.
+Figure 7: Sample discretization mesh. @@ -255,7 +260,7 @@ Sample discretization mesh.@@ -625,26 +630,26 @@ Process 1![\includegraphics[scale=0.45]{figures/try8x8.eps}](img58.png)
![\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}](img57.png)
-
-
-
-
- Next: Next: psb_ovrl Overlap - Up: Up: Communication routines - Previous: Previous: Communication routines - Contents diff --git a/docs/html/node55.html b/docs/html/node55.html index 77b42dd7..aa83d3bf 100644 --- a/docs/html/node55.html +++ b/docs/html/node55.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_gather Gather - Up: Up: Communication routines - Previous: Previous: psb_halo Halo - Contents
@@ -69,7 +69,7 @@ x \leftarrow Q x
@@ -87,22 +87,22 @@ where:
- is the overlap operator; it is the composition of two operators
and 
.
-+Table 15: Data types @@ -135,10 +135,15 @@ Data types
-
+
+
+
-
@@ -183,14 +188,14 @@ Specified as: a structured data of type descdatapsb_desc_type.
- update = psb_add_
- Sum overlap entries, i.e. apply
;
- update = psb_avg_
- Average overlap entries, i.e. apply ;
Scope: global @@ -267,18 +272,18 @@ An integer value; 0 means no error has been detected.- 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
@@ -288,7 +293,7 @@ their instances.
-
+Figure 8: Sample discretization mesh. @@ -296,7 +301,7 @@ Sample discretization mesh.@@ -734,26 +739,26 @@ Process 1![\includegraphics[scale=0.65]{figures/try8x8_ov.eps}](img67.png)
![\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}](img66.png)
-
-
-
-
- Next: Next: psb_gather Gather - Up: Up: Communication routines - Previous: Previous: psb_halo Halo - Contents diff --git a/docs/html/node56.html b/docs/html/node56.html index 692dc20a..5e6b4f52 100644 --- a/docs/html/node56.html +++ b/docs/html/node56.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_scatter Scatter - Up: Up: Communication routines - Previous: Previous: psb_ovrl Overlap - Contents
@@ -70,8 +70,8 @@ glob\_x \leftarrow collect(loc\_x_i) -->
@@ -79,20 +79,20 @@ glob\_x \leftarrow collect(loc\_x_i) where:
- is the global submatrix
- is the local portion of global dense matrix on
process
- is the collect function. @@ -110,7 +110,7 @@ process
- loc_x
- the local portion of global dense matrix
.
Scope: local @@ -189,7 +194,7 @@ 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.
@@ -204,10 +209,10 @@ Specified as: an integer variable
, default 
.
- On Return @@ -240,26 +245,26 @@ An integer value; 0 means no error has been detected.
- is the global matrix
- is the local portion of global dense matrix on
process
.
- is the scatter function. @@ -108,7 +108,7 @@ process
- root
- The process that holds the global copy. If all
the processes have a copy of the global vector.
@@ -197,10 +202,10 @@ Specified as: an integer variable, default .
- On Return @@ -209,8 +214,8 @@ Specified as: an integer variable -
- psb_cdall -- Allocates a communication descriptor +
- psb_cdins -- Communication descriptor insert + routine
- psb_cdins -- Communication descriptor insert routine + HREF="node61.html">psb_cdasb -- Communication descriptor assembly + 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_is_owned + HREF="node78.html">psb_owned_index --
- psb_owned_index + HREF="node79.html">psb_is_local --
- psb_is_local + HREF="node80.html">psb_local_index --
- psb_local_index + HREF="node81.html">psb_get_boundary -- Extract list of boundary + elements
- psb_get_boundary -- Extract list of boundary elements + HREF="node82.html">psb_get_overlap -- Extract list of overlap + elements
- psb_get_overlap -- Extract list of overlap elements + HREF="node83.html">psb_sp_getrow -- Extract row(s) from a sparse + matrix
- psb_sp_getrow -- Extract row(s) from a sparse matrix -
- psb_sizeof -- Memory occupation -
- Sorting utilities +
- Sorting utilities --
- flag
- Specifies whether entries in
are zero- or one-based.
Scope:global. @@ -123,10 +123,10 @@ Intent: in.
Specified as: an integer value
, default 
.
@@ -156,7 +156,7 @@ Specified as: a subroutine.
- Data allocation: the set of global indices
belonging to the calling process.
Scope:local. @@ -208,10 +208,10 @@ Specified as: a logical value, default:.true.- Data allocation: the set of local indices
to be assigned to the global indices 
.
Scope:local. @@ -303,11 +303,11 @@ An integer value; 0 means no error has been detected. $0\le pv(i) < np$ -->
; if 
we have an index assigned to multiple
processes, i.e. we have an overlap among the subdomains.
@@ -322,23 +322,23 @@ An integer value; 0 means no error has been detected.
-->
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 havingmg=size(vg). @@ -347,8 +347,8 @@ An integer value; 0 means no error has been detected.- 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 @@ -356,8 +356,8 @@ An integer value; 0 means no error has been detected.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'' @@ -380,11 +380,11 @@ An integer value; 0 means no error has been detected.- If this argument is specified alone (i.e. without
@@ -425,26 +425,26 @@ An integer value; 0 means no error has been detected.vl) the result is a generalized row-block distribution in which each process
gets assigned a consecutive chunk of 
global
indices.
-
-
-
-
- Next: Next: psb_cdins Communication - Up: Up: Data management routines - Previous: Previous: Data management routines - Contents diff --git a/docs/html/node6.html b/docs/html/node6.html index ce3894a1..2f5ecffd 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents - Contents
@@ -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 7ff28e09..f0981810 100644 --- a/docs/html/node60.html +++ b/docs/html/node60.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_cdasb Communication - Up: Up: Data management routines - Previous: Previous: psb_cdall Allocates - Contents
-psb_cdins -- Communication descriptor insert routine +psb_cdins -- Communication descriptor insert + routine
@@ -67,16 +68,16 @@ 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.
@@ -108,8 +109,8 @@ Type: required. Intent: in.
Specified as: an integer array of length
.
- Data allocation: the set of global indices
- ja @@ -122,8 +123,8 @@ Type: required. Intent: in.
- mask @@ -137,8 +138,8 @@ Type: optional. Intent: in.
- lidx @@ -151,8 +152,8 @@ Type: optional. Intent: in.
- jla @@ -208,8 +209,8 @@ Type: optional. Intent: out.
- extype @@ -173,26 +173,26 @@ An integer value; 0 means no error has been detected.
- 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
@@ -142,26 +142,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_spins Insert - Up: Up: Data management routines - Previous: Previous: psb_cdbldext Build - Contents diff --git a/docs/html/node66.html b/docs/html/node66.html index 20c660cb..9b3cd939 100644 --- a/docs/html/node66.html +++ b/docs/html/node66.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_spasb Sparse - Up: Up: Data management routines - Previous: Previous: psb_spall Allocates - Contents
@@ -90,8 +90,8 @@ Type:required. Intent: in.
Specified as: an integer array of size.
- ja
@@ -104,8 +104,8 @@ Type:required. Intent: in.
Specified as: an integer array of size.
- val
@@ -118,12 +118,12 @@ Type:required. 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
@@ -213,15 +213,15 @@ An integer value; 0 means no error has been detected. $ia(i),ja(i),val(i)$ -->
, for 
; these triples
should belong to the current process, i.e. should be one of
the local indices, but are otherwise arbitrary;
@@ -248,26 +248,26 @@ An integer value; 0 means no error has been detected.
- m
- Number of rows in
to be inserted.
Scope:local. @@ -89,11 +89,11 @@ Specified as: an integer value. ALT="$i$"> of will be inserted into the local row corresponding to the
global row index 
.
Scope:local.
@@ -196,26 +196,26 @@ An integer value; 0 means no error has been detected.
-
-
-
-
- Next: Next: psb_geasb Assembly - Up: Up: Data management routines - Previous: Previous: psb_geall Allocates - Contents diff --git a/docs/html/node72.html b/docs/html/node72.html index 915f9cf3..e6477bf9 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_gefree Frees - Up: Up: Data management routines - Previous: Previous: psb_geins Dense - Contents
diff --git a/docs/html/node73.html b/docs/html/node73.html index 5e9b63e1..aa2d61d2 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_gelp Applies - Up: Up: Data management routines - Previous: Previous: psb_geasb Assembly - Contents
diff --git a/docs/html/node74.html b/docs/html/node74.html index 0b4c9cc2..3e582dfa 100644 --- a/docs/html/node74.html +++ b/docs/html/node74.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_glob_to_loc Global - Up: Up: Data management routines - Previous: Previous: psb_gefree Frees - Contents
@@ -75,7 +75,7 @@ call psb_gelp(trans, iperm, x, info) SRC="img1.png" ALT="$A$"> or
.
Scope: local @@ -89,7 +89,7 @@ Specified as: a single character with value 'N' for or 'T' for .
- iperm diff --git a/docs/html/node75.html b/docs/html/node75.html index f99f4bf1..630b4a93 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
- x
- If is not present,
then
- y
- If is present,
then is overwritten with the translated integer indices, and
-
-
-
-
- Next: Next: psb_loc_to_glob Local - Up: Up: Data management routines - Previous: Previous: psb_gelp Applies - Contents diff --git a/docs/html/node76.html b/docs/html/node76.html index c3a7b9bf..2443d649 100644 --- a/docs/html/node76.html +++ b/docs/html/node76.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_is_owned - Up: Up: Data management routines - Previous: Previous: psb_glob_to_loc Global - Contents
@@ -112,7 +112,7 @@ Specified as: a character variableIgnore,Warning or - x
- If is not present,
then
- y
- If is not present,
then is overwritten with the translated integer indices, and
-
-
-
-
- Next: Next: psb_is_owned - Up: Up: Data management routines - Previous: Previous: psb_glob_to_loc Global - Contents diff --git a/docs/html/node77.html b/docs/html/node77.html index f05c8553..fc098af6 100644 --- a/docs/html/node77.html +++ b/docs/html/node77.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_is_owned - +psb_is_owned -- + @@ -26,33 +26,33 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_owned_index - Up: Up: Data management routines - Previous: Previous: psb_loc_to_glob Local - Contents
-psb_is_owned +psb_is_owned --
diff --git a/docs/html/node78.html b/docs/html/node78.html index 3024030b..0f18bc36 100644 --- a/docs/html/node78.html +++ b/docs/html/node78.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-psb_owned_index - +psb_owned_index -- + @@ -26,33 +26,33 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_is_local - Up: Up: Data management routines - Previous: Previous: psb_is_owned - Contents
-psb_owned_index +psb_owned_index --
diff --git a/docs/html/node79.html b/docs/html/node79.html index b5d08e62..b9833a0f 100644 --- a/docs/html/node79.html +++ b/docs/html/node79.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-psb_is_local - +psb_is_local -- + @@ -26,33 +26,33 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_local_index - Up: Up: Data management routines - Previous: Previous: psb_owned_index - Contents
-psb_is_local +psb_is_local --
diff --git a/docs/html/node8.html b/docs/html/node8.html index 4d9e83df..34d9f3b8 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
- Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings - Contents
@@ -72,7 +72,7 @@ the tools routines.However there are many cases where no synchronization, and indeed no communication among processes, is implied; for instance, all the routines in -sec.
![[*]](crossref.png)
are only acting on the local data structures,
+sec. 3 are only acting on the local data structures,
and thus may be called independently. The most important case is that
of the coefficient insertion routines: since the number of
coefficients in the sparse and dense matrices varies among the
@@ -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 5b88e738..ac877dc6 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_local_index - +psb_local_index -- + @@ -26,33 +26,33 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_get_boundary Extract - Up: Up: Data management routines - Previous: Previous: psb_is_local - Contents
-psb_local_index +psb_local_index --
diff --git a/docs/html/node81.html b/docs/html/node81.html index dd0c83ec..44844082 100644 --- a/docs/html/node81.html +++ b/docs/html/node81.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
- Next: Next: psb_get_overlap Extract - Up: Up: Data management routines - Previous: Previous: psb_local_index - Contents
-psb_get_boundary -- Extract list of boundary elements +psb_get_boundary -- Extract list of boundary + elements
diff --git a/docs/html/node82.html b/docs/html/node82.html index fb3dc4b0..0ec28faf 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
- Next: Next: psb_sp_getrow Extract - Up: Up: Data management routines - Previous: Previous: psb_get_boundary Extract - Contents
-psb_get_overlap -- Extract list of overlap elements +psb_get_overlap -- Extract list of overlap + elements
diff --git a/docs/html/node83.html b/docs/html/node83.html index 1831123a..29330ad4 100644 --- a/docs/html/node83.html +++ b/docs/html/node83.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
- Next: Next: psb_sizeof Memory - Up: Up: Data management routines - Previous: Previous: psb_get_overlap Extract - Contents
-psb_sp_getrow -- Extract row(s) from a sparse matrix +psb_sp_getrow -- Extract row(s) from a sparse + matrix
@@ -80,7 +81,7 @@ Intent: in.
Specified as: an integer
.
- a @@ -116,7 +117,7 @@ Intent: in.
- 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;
@@ -230,26 +231,26 @@ An integer value; 0 means no error has been detected.
- dir @@ -123,7 +123,7 @@ default
- flag
- Whether to keep the original values in .
Type:optional. @@ -185,10 +185,10 @@ position as the corresponding entries in
then the entries in 
where 
; thus, upon return from the subroutine, for each
index ; thus, upon return from the subroutine, for each SRC="img4.png" ALT="$i$"> we have in
the position that the item 
occupied in the original data sequence;
@@ -222,16 +222,16 @@ i$">; thus, upon return from the subroutine, for each
-->
the routine will assume that
the entries in 
have already been initialized by the user;
- The three sorting algorithms have a similar
expected
running time; in the average case quicksort will be the
fastest and merge-sort the slowest. However note that:
@@ -239,7 +239,7 @@ i$">; thus, upon return from the subroutine, for each
- 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;
@@ -247,7 +247,7 @@ i$">; thus, upon return from the subroutine, for each
- The worst case running time for merge-sort and heap-sort is
as the average case;
- The merge-sort algorithm is implemented to take advantage of
@@ -266,26 +266,26 @@ i$">; thus, upon return from the subroutine, for each
-
-
-
-
- Next: Next: Parallel environment routines - Up: Up: Data management routines - Previous: Previous: psb_sizeof Memory - Contents diff --git a/docs/html/node86.html b/docs/html/node86.html index 3f80ec8f..fd7cb464 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_init Initializes - Up: Up: userhtml - Previous: Previous: Sorting utilities - Contents
@@ -63,39 +63,41 @@ Parallel environment routines Subsections-
+
- psb_init -- Initializes PSBLAS parallel + environment
- psb_init -- Initializes PSBLAS parallel environment -
- psb_info -- Return information about PSBLAS parallel environment +
- psb_exit -- Exit from 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
-
-
-
- Next: Next: psb_info Return - Up: Up: Parallel environment routines - Previous: Previous: Parallel environment routines - Contents
-psb_init -- Initializes PSBLAS parallel environment +psb_init -- Initializes PSBLAS parallel + environment
@@ -106,8 +107,8 @@ Type: optional. Intent: in.
Specified as: an integer array. Default: use the indices.
@@ -140,8 +141,8 @@ Specified as: an integer variable.
- The three sorting algorithms have a similar
- 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.
@@ -151,26 +152,26 @@ Specified as: an integer variable.
-
-
-
-
- Next: Next: psb_info Return - Up: Up: Parallel environment routines - Previous: Previous: Parallel environment routines - Contents diff --git a/docs/html/node88.html b/docs/html/node88.html index 31a87ba9..874643c0 100644 --- a/docs/html/node88.html +++ b/docs/html/node88.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_exit Exit - Up: Up: Parallel environment routines - Previous: Previous: psb_init Initializes - Contents
@@ -104,7 +104,7 @@ Specified as: an integer value.
- np
- Number of processes in the PSBLAS virtual parallel machine. @@ -128,14 +128,14 @@ Specified as: an integer variable.
-->
;
- 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. @@ -145,26 +145,26 @@ Specified as: an integer variable.
-
-
-
-
- Next: Next: psb_exit Exit - Up: Up: Parallel environment routines - Previous: Previous: psb_init Initializes - Contents diff --git a/docs/html/node89.html b/docs/html/node89.html index 0f4a59ec..d64010a7 100644 --- a/docs/html/node89.html +++ b/docs/html/node89.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_get_mpicomm Get - Up: Up: Parallel environment routines - Previous: Previous: psb_info Return - Contents
-psb_exit -- Exit from PSBLAS parallel environment +psb_exit -- Exit from PSBLAS parallel + environment
@@ -103,7 +104,7 @@ Specified as: a logical variable, default value: true.
- 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. @@ -123,26 +124,26 @@ Specified as: a logical variable, default value: true.
-
-
-
-
- Next: Next: psb_get_mpicomm Get - Up: Up: Parallel environment routines - Previous: Previous: psb_info Return - Contents diff --git a/docs/html/node9.html b/docs/html/node9.html index cb5c474f..1d6a3fb6 100644 --- a/docs/html/node9.html +++ b/docs/html/node9.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model - Contents
@@ -111,121 +111,104 @@ developer's documentation. Subsections-
-
- Descriptor data structure
-
-
- Methods -
- 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_context--Get communication context --
-
--clone--Clone current object --
-
-
- 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
-
-
- Methods -
- Sparse Matrix Methods +
- get_nrows -- Get number of rows in a sparse matrix -
- get_ncols -- Get number of columns 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 -
- -
--clone--Clone current object --
- - Dense Vector Data Structure
-
-
- Methods -
- 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
- -
--clone--Clone current object --
- Preconditioner 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 dd2dec61..b33e5e98 100644 --- a/docs/html/node90.html +++ b/docs/html/node90.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_get_rank Get - Up: Up: Parallel environment routines - Previous: Previous: psb_exit Exit - Contents
diff --git a/docs/html/node91.html b/docs/html/node91.html index be9c710e..c938c37b 100644 --- a/docs/html/node91.html +++ b/docs/html/node91.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_wtime Wall - Up: Up: Parallel environment routines - Previous: Previous: psb_get_mpicomm Get - Contents
@@ -62,8 +62,8 @@ call psb_get_rank(rank, icontxt, id)This subroutine returns the MPI rank of the PSBLAS process
- Type: @@ -97,8 +97,8 @@ Specified as: an integer value.
-
-
-
- Next: Next: psb_barrier Sinchronization - Up: Up: Parallel environment routines - Previous: Previous: psb_get_rank Get - Contents
diff --git a/docs/html/node93.html b/docs/html/node93.html index bdae2215..83e0e57e 100644 --- a/docs/html/node93.html +++ b/docs/html/node93.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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diff --git a/docs/html/node94.html b/docs/html/node94.html index 17799a82..32580327 100644 --- a/docs/html/node94.html +++ b/docs/html/node94.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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diff --git a/docs/html/node95.html b/docs/html/node95.html index c1464b81..5392f628 100644 --- a/docs/html/node95.html +++ b/docs/html/node95.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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@@ -108,8 +108,8 @@ Specified as: an integer value
, default 0
@@ -135,26 +135,26 @@ scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind, r
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@@ -97,7 +97,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro- root
- Process to hold the final sum, or
@@ -152,26 +152,26 @@ Type, kind, rank and size must agree on all processes. to make it available
on all processes.
@@ -112,7 +112,7 @@ Specified as: an integer value
, default -1.
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@@ -97,7 +97,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro- root
- Process to hold the final maximum, or
@@ -151,26 +151,26 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro to make it available
on all processes.
@@ -112,7 +112,7 @@ Specified as: an integer value, default -1.
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@@ -97,7 +97,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro- root
- Process to hold the final value, or
@@ -153,26 +153,26 @@ Type, kind, rank and size must agree on all processes. to make it available
on all processes.
@@ -112,7 +112,7 @@ Specified as: an integer value, default -1.
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@@ -97,7 +97,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro- root
- Process to hold the final value, or
@@ -151,26 +151,26 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro to make it available
on all processes.
@@ -112,7 +112,7 @@ Specified as: an integer value, default -1.
-
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- Next: Next: psb_amn Global - Up: Up: Parallel environment routines - Previous: Previous: psb_min Global - Contents diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index 229e07f0..33e607bb 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -39,6 +39,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds
+language=Fortran + +PSBLAS
@@ -56,9 +59,9 @@ University of Rome ``Tor Vergata'', Italy
-Software version: 3.1 +Software version: 3.2
-June 14, 2013. +March 31st, 2014.
@@ -93,7 +96,7 @@ June 14, 2013. HREF="node10.html">Descriptor data structure- Methods + HREF="node11.html">Descriptor Methods
- get_local_rows -- Get number of local rows
- get_global_rows -- Get number of global rows
- get_global_cols -- Get number of global cols -
- -
-get_context--Get communication context -+ HREF="node16.html">get_context -- Get communication context- -
-clone--Clone current object ---
+ HREF="node17.html">Clone -- clone current object
- psb_cd_get_large_threshold -- Get threshold for
index mapping switch
@@ -127,11 +122,12 @@ clone--Clone current object
HREF="node21.html">Sparse Matrix class
- Methods + HREF="node22.html">Sparse Matrix Methods
- get_nrows -- Get number of rows in a sparse matrix
- get_ncols -- Get number of columns in a sparse matrix + HREF="node24.html">get_ncols -- Get number of columns in a sparse + matrix
- get_nnzeros -- Get number of nonzero elements in a sparse matrix @@ -145,13 +141,8 @@ of a sparse matrix HREF="node28.html">get_fmt -- Short description of the dynamic type
- is_bld, is_upd, is_asb -- Status check -
-
--clone--Clone current object --
-
+ HREF="node30.html">clone -- Clone current object
- Named Constants
-
--clone--Clone current object -+ HREF="node37.html">clone -- Clone current object +
- Preconditioner data structure @@ -203,7 +191,8 @@ clone--Clone current object
- psb_spnrmi -- Infinity Norm of Sparse Matrix
- psb_spmm -- Sparse Matrix by Dense Matrix Product + HREF="node51.html">psb_spmm -- Sparse Matrix by Dense Matrix + Product
- psb_spsm -- Triangular System Solve @@ -227,9 +216,11 @@ clone--Clone current object
- psb_cdall -- Allocates a communication descriptor
- psb_cdins -- Communication descriptor insert routine + HREF="node60.html">psb_cdins -- Communication descriptor insert + routine
- psb_cdasb -- Communication descriptor assembly routine + HREF="node61.html">psb_cdasb -- Communication descriptor assembly + routine
- psb_cdcpy -- Copies a communication descriptor
- psb_loc_to_glob -- Local to global indices conversion
- psb_is_owned + HREF="node77.html">psb_is_owned --
- psb_owned_index + HREF="node78.html">psb_owned_index --
- psb_is_local + HREF="node79.html">psb_is_local --
- psb_local_index + HREF="node80.html">psb_local_index --
- psb_get_boundary -- Extract list of boundary elements + HREF="node81.html">psb_get_boundary -- Extract list of boundary + elements
- psb_get_overlap -- Extract list of overlap elements + HREF="node82.html">psb_get_overlap -- Extract list of overlap + elements
- psb_sp_getrow -- Extract row(s) from a sparse matrix + HREF="node83.html">psb_sp_getrow -- Extract row(s) from a sparse + matrix
- psb_sizeof -- Memory occupation
- Sorting utilities + HREF="node85.html">Sorting utilities --
- Parallel environment routines
- psb_init -- Initializes PSBLAS parallel environment + HREF="node87.html">psb_init -- Initializes PSBLAS parallel + environment
- psb_info -- Return information about PSBLAS parallel environment
- psb_exit -- Exit from PSBLAS parallel environment + HREF="node89.html">psb_exit -- Exit from PSBLAS parallel + environment
- psb_get_mpicomm -- Get the MPI communicator
-
- Error handling -
- psb_errpush -- Pushes an error code onto the error - stack + HREF="node104.html">Utilities
- Error handling -
- psb_error -- Prints the error stack content and aborts
- execution
+ HREF="node105.html">Preconditioner routines
+
- psb_set_errverbosity -- Sets the verbosity of error - messages. + HREF="node106.html">psb_precinit -- Initialize a preconditioner
- psb_set_erraction -- Set the type of action to be - taken upon error condition. -
+ HREF="node107.html">psb_precbld -- Builds a preconditioner - Utilities
-
-
+ HREF="node108.html">psb_precaply -- Preconditioner application
+ routine
- 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_vet_read -- Read a dense vector from a - file in the MatrixMarket format -
- mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format -
- - Preconditioner routines
-
-
-
- psb_precinit -- Initialize a preconditioner -
- psb_precbld -- Builds a preconditioner -
- psb_precaply -- Preconditioner application routine -
- psb_precdescr -- Prints a description of current + HREF="node109.html">psb_precdescr -- Prints a description of current preconditioner -
- clone -- clone current
+
- clone -- clone current preconditioner
- - Iterative Methods +
- Iterative Methods
- - Bibliography -
- About this document ... +
- Bibliography +
- About this document ...
diff --git a/docs/psblas-3.2.pdf b/docs/psblas-3.2.pdf index e4a7f9c6..83775ec3 100644 --- a/docs/psblas-3.2.pdf +++ b/docs/psblas-3.2.pdf @@ -974,7 +974,7 @@ BT 0 g 0 G [-861(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(14)]TJ + [-1084(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG 0 -12.123 Td [(psb)]TJ @@ -1051,7 +1051,7 @@ BT 0 g 0 G [-1017(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(15)]TJ + [-1084(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -22.914 -12.122 Td [(3.2)-1022(Sparse)-334(Matri)1(x)-334(class)]TJ @@ -1107,7 +1107,7 @@ BT 0 g 0 G [-715(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(17)]TJ + [-1084(16)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -16.87 -12.123 Td [(get)]TJ @@ -1142,7 +1142,7 @@ BT 0 g 0 G [-946(.)-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(18)]TJ + [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -16.87 -12.122 Td [(is)]TJ @@ -1177,14 +1177,14 @@ BT 0 g 0 G [-361(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(19)]TJ + [-1084(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -31.88 -12.123 Td [(3.2.2)-1144(Named)-334(Constan)28(ts)]TJ 0 g 0 G [-1016(.)-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(19)]TJ + [-1084(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -22.915 -12.122 Td [(3.3)-1022(Dense)-334(V)84(ector)-334(Data)-333(Structure)]TJ @@ -1198,7 +1198,7 @@ BT 0 g 0 G [-297(.)-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(20)]TJ + [-1084(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG 31.88 -12.123 Td [(get)]TJ @@ -1212,7 +1212,7 @@ BT 0 g 0 G [-687(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G - [-1084(20)]TJ + [-1084(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -16.87 -12.122 Td [(sizeof)]TJ @@ -1233,14 +1233,14 @@ BT 0 g 0 G [-668(.)-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(21)]TJ + [-1084(20)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -16.87 -12.122 Td [(clone)]TJ 0 g 0 G [-361(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(21)]TJ + [-1084(20)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -54.795 -12.122 Td [(3.4)-1022(Preconditioner)-333(data)-334(structure)]TJ @@ -1252,7 +1252,7 @@ BT 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -14.944 -22.197 Td [(4)-925(Computational)-383(r)-1(ou)1(t)-1(ines)]TJ 0 g 0 G - [-19886(23)]TJ + [-19886(22)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -12.122 Td [(psb)]TJ ET @@ -1265,7 +1265,7 @@ BT 0 g 0 G [-301(.)-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(24)]TJ + [-1084(23)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.122 Td [(psb)]TJ @@ -1279,7 +1279,7 @@ BT 0 g 0 G [-718(.)-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(26)]TJ + [-1083(25)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.122 Td [(psb)]TJ @@ -1293,7 +1293,7 @@ BT 0 g 0 G [-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(28)]TJ + [-1084(27)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.122 Td [(psb)]TJ @@ -1307,7 +1307,7 @@ BT 0 g 0 G [-579(.)-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(30)]TJ + [-1084(29)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.123 Td [(psb)]TJ @@ -1321,7 +1321,7 @@ BT 0 g 0 G [-962(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(31)]TJ + [-1084(30)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.122 Td [(psb)]TJ @@ -1335,7 +1335,7 @@ BT 0 g 0 G [-657(.)-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(32)]TJ + [-1083(31)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.122 Td [(psb)]TJ @@ -1349,7 +1349,7 @@ BT 0 g 0 G [-262(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(33)]TJ + [-1084(32)]TJ 0 g 0 G 0 g 0 G 136.942 -29.888 Td [(i)]TJ @@ -1709,7 +1709,7 @@ BT 0 g 0 G [-659(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(35)]TJ + [-1084(34)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1723,7 +1723,7 @@ BT 0 g 0 G [-265(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(36)]TJ + [-1084(35)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1737,7 +1737,7 @@ BT 0 g 0 G [-654(.)-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(37)]TJ + [-1084(36)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1751,7 +1751,7 @@ BT 0 g 0 G [-876(.)-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(38)]TJ + [-1084(37)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1765,7 +1765,7 @@ BT 0 g 0 G [-490(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(39)]TJ + [-1084(38)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1779,12 +1779,12 @@ BT 0 g 0 G [-929(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(42)]TJ + [-1084(41)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -33.53 -22.125 Td [(5)-925(Comm)32(unication)-383(r)-1(ou)1(t)-1(ines)]TJ 0 g 0 G - [-19454(45)]TJ + [-19454(44)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -12.08 Td [(psb)]TJ ET @@ -1797,7 +1797,7 @@ BT 0 g 0 G [-495(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(46)]TJ + [-1084(45)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1811,7 +1811,7 @@ BT 0 g 0 G [-659(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G - [-1084(50)]TJ + [-1084(49)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1825,7 +1825,7 @@ BT 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(53)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1839,12 +1839,12 @@ BT 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(55)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -33.53 -22.125 Td [(6)-925(Data)-383(managem)-1(e)1(n)31(t)-383(routines)]TJ 0 g 0 G - [-18205(58)]TJ + [-18205(57)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -12.08 Td [(psb)]TJ ET @@ -1857,7 +1857,7 @@ BT 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(59)]TJ + [-1084(58)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1871,7 +1871,7 @@ BT 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(63)]TJ + [-1084(62)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1885,7 +1885,7 @@ BT 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(65)]TJ + [-1083(64)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1899,7 +1899,7 @@ BT 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(66)]TJ + [-1084(65)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1913,7 +1913,7 @@ BT 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(67)]TJ + [-1084(66)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1927,7 +1927,7 @@ BT 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(68)]TJ + [-1084(67)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1941,7 +1941,7 @@ BT 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(70)]TJ + [-1084(69)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1955,7 +1955,7 @@ BT 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(71)]TJ + [-1084(70)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1969,7 +1969,7 @@ BT 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(73)]TJ + [-1083(72)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1983,7 +1983,7 @@ BT 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(75)]TJ + [-1084(74)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1997,7 +1997,7 @@ BT 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(76)]TJ + [-1084(75)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -2011,7 +2011,7 @@ BT 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(77)]TJ + [-1084(76)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -2025,7 +2025,7 @@ BT 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(78)]TJ + [-1084(77)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -2039,7 +2039,7 @@ BT 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(80)]TJ + [-1084(79)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -2053,7 +2053,7 @@ BT 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(81)]TJ + [-1084(80)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -2067,7 +2067,7 @@ BT 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(82)]TJ + [-1084(81)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -2095,7 +2095,7 @@ BT 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(83)]TJ + [-1083(82)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -52.879 -12.08 Td [(psb)]TJ @@ -2123,7 +2123,7 @@ BT 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(85)]TJ + [-1083(84)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -47.068 -12.08 Td [(psb)]TJ @@ -2144,7 +2144,7 @@ BT 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(86)]TJ + [-1084(85)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -28.869 -12.08 Td [(psb)]TJ @@ -2165,7 +2165,7 @@ BT 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(87)]TJ + [-1083(86)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -49.57 -12.08 Td [(psb)]TJ @@ -2186,7 +2186,7 @@ BT 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(88)]TJ + [-1084(87)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -28.869 -12.08 Td [(psb)]TJ @@ -2207,7 +2207,7 @@ BT 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(89)]TJ + [-1084(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -42.374 -12.079 Td [(psb)]TJ @@ -2228,7 +2228,7 @@ BT 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(90)]TJ + [-1083(89)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -12.08 Td [(psb)]TJ @@ -2249,7 +2249,7 @@ BT 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(91)]TJ + [-1084(90)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -12.08 Td [(psb)]TJ @@ -2270,7 +2270,7 @@ BT 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(92)]TJ + [-1084(91)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -31.637 -12.079 Td [(psb)]TJ @@ -2284,19 +2284,19 @@ BT 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(94)]TJ + [-1084(93)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 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(95)]TJ + [-1083(94)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -14.944 -22.125 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ 0 g 0 G - [-16891(97)]TJ + [-16891(96)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -12.08 Td [(psb)]TJ ET @@ -2309,7 +2309,7 @@ BT 0 g 0 G [-829(.)-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(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(98)]TJ + [-1083(97)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -2323,7 +2323,7 @@ BT 0 g 0 G [-690(.)-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(99)]TJ + [-1084(98)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -2337,7 +2337,7 @@ BT 0 g 0 G [-690(.)-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(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(100)]TJ + [-1084(99)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -2358,7 +2358,7 @@ BT 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(101)]TJ + [-583(100)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -12.08 Td [(psb)]TJ @@ -2379,7 +2379,7 @@ BT 0 g 0 G [-994(.)-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(.)]TJ 0 g 0 G - [-583(102)]TJ + [-583(101)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -12.08 Td [(psb)]TJ @@ -2393,7 +2393,7 @@ BT 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(.)]TJ 0 g 0 G - [-584(103)]TJ + [-584(102)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -2407,7 +2407,7 @@ BT 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(.)-499(.)-500(.)]TJ 0 g 0 G - [-584(104)]TJ + [-584(103)]TJ 0 g 0 G 0 g 0 G 135.558 -29.888 Td [(ii)]TJ @@ -2778,7 +2778,7 @@ BT 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(105)]TJ + [-584(104)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2792,7 +2792,7 @@ BT 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(106)]TJ + [-584(105)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2806,7 +2806,7 @@ BT 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(107)]TJ + [-584(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.956 Td [(psb)]TJ @@ -2820,7 +2820,7 @@ BT 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(108)]TJ + [-583(107)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2834,7 +2834,7 @@ BT 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(109)]TJ + [-584(108)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2848,7 +2848,7 @@ BT 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(110)]TJ + [-583(109)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2862,7 +2862,7 @@ BT 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(111)]TJ + [-584(110)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2876,7 +2876,7 @@ BT 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(112)]TJ + [-584(111)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2890,12 +2890,12 @@ BT 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(113)]TJ + [-584(112)]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 0 g 0 G - [-23812(114)]TJ + [-23812(113)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.955 Td [(psb)]TJ ET @@ -2908,7 +2908,7 @@ BT 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(116)]TJ + [-584(115)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.956 Td [(psb)]TJ @@ -2922,7 +2922,7 @@ BT 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(117)]TJ + [-584(116)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2943,7 +2943,7 @@ BT 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(118)]TJ + [-584(117)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -34.405 -11.955 Td [(psb)]TJ @@ -2964,12 +2964,12 @@ BT 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(119)]TJ + [-584(118)]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(120)]TJ + [-27238(119)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.955 Td [(h)28(b)]TJ ET @@ -2982,7 +2982,7 @@ BT 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(121)]TJ + [-584(120)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -14.38 -11.955 Td [(h)28(b)]TJ @@ -2996,7 +2996,7 @@ BT 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(122)]TJ + [-584(121)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -14.38 -11.955 Td [(mm)]TJ @@ -3017,7 +3017,7 @@ BT 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(123)]TJ + [-584(122)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -40.936 -11.955 Td [(mm)]TJ @@ -3038,7 +3038,7 @@ BT 0 g 0 G [-916(.)-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 - [-584(124)]TJ + [-584(123)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -37.061 -11.956 Td [(mm)]TJ @@ -3059,12 +3059,12 @@ BT 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(125)]TJ + [-583(124)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -55.88 -21.917 Td [(10)-350(Preconditioner)-383(routi)-1(ne)1(s)]TJ 0 g 0 G - [-19367(126)]TJ + [-19367(125)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.956 Td [(psb)]TJ ET @@ -3077,7 +3077,7 @@ BT 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(126)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -3091,7 +3091,7 @@ BT 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(127)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -3105,7 +3105,7 @@ BT 0 g 0 G [-965(.)-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(129)]TJ + [-584(128)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -3119,19 +3119,19 @@ BT 0 g 0 G [-596(.)-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(.)]TJ 0 g 0 G - [-583(130)]TJ + [-583(129)]TJ 0 g 0 G 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[(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -80.399 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -88.924 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.114 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.432 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ/F8 9.9626 Tf -195.672 -34.829 Td [(where:)]TJ +/F16 14.3462 Tf 130.004 681.852 Td [(spsm|T)94(riangular)-375(System)-375(Solv)31(e)]TJ/F8 9.9626 Tf -30.109 -28.165 Td [(This)-333(subroutine)-334(computes)-333(the)-333(T)83(riangular)-333(System)-334(Solv)28(e:)]TJ/F11 9.9626 Tf 121.693 -31.841 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -77.311 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-28(T)]TJ/F13 6.9738 Tf 22.141 4.114 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -85.836 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.114 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -85.836 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -79.118 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-28(T)]TJ/F13 6.9738 Tf 22.141 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -87.643 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.114 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -87.643 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(H)]TJ/F11 9.9626 Tf 7.556 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -80.398 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-28(T)]TJ/F13 6.9738 Tf 22.141 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(H)]TJ/F11 9.9626 Tf 7.556 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -88.923 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.114 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(H)]TJ/F11 9.9626 Tf 7.556 -4.114 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ/F8 9.9626 Tf -195.672 -34.829 Td [(where:)]TJ 0 g 0 G /F11 9.9626 Tf -14.944 -18.299 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.495 Td [(:)]TJ/F10 6.9738 Tf 2.255 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +/F8 9.9626 Tf 10.676 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.092 0 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.495 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ 0 g 0 G -/F11 9.9626 Tf -137.083 -17.618 Td [(y)]TJ +/F11 9.9626 Tf -137.084 -17.618 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 10.223 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(y)]TJ/F7 6.9738 Tf 4.884 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +/F8 9.9626 Tf 10.224 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.092 0 Td [(y)]TJ/F7 6.9738 Tf 4.885 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.255 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ 0 g 0 G /F11 9.9626 Tf -135.822 -17.618 Td [(T)]TJ 0 g 0 G -/F8 9.9626 Tf 12.187 0 Td [(is)-333(the)-334(global)-333(sparse)-333(blo)-28(c)28(k)-334(triangul)1(a)-1(r)-333(submatrix)]TJ/F11 9.9626 Tf 206.78 0 Td [(T)]TJ +/F8 9.9626 Tf 12.187 0 Td [(is)-333(the)-334(global)-333(sparse)-333(blo)-28(c)28(k)-334(triangular)-333(submatrix)]TJ/F11 9.9626 Tf 206.781 0 Td [(T)]TJ 0 g 0 G - -218.967 -19.113 Td [(D)]TJ + -218.968 -19.113 Td [(D)]TJ 0 g 0 G -/F8 9.9626 Tf 13.506 0 Td [(is)-333(the)-334(scaling)-333(diagonal)-333(matrix.)]TJ/F27 9.9626 Tf -12.129 -23.464 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.349 0 Td [(p)-84(s)-84(b)]TJ +/F8 9.9626 Tf 13.507 0 Td [(is)-333(the)-334(scaling)-333(diagonal)-333(matrix.)]TJ/F27 9.9626 Tf -12.13 -23.464 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.349 0 Td [(p)-84(s)-84(b)]TJ ET q -1 0 0 1 199.541 368.564 cm +1 0 0 1 148.731 368.564 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 203.367 368.364 Td [(s)-84(p)-84(s)-84(m)-190(\050)-193(a)-87(l)-87(p)-88(h)-87(a)-336(,)-831(t)-302(,)-785(x)-209(,)-847(b)-85(e)-85(t)-85(a)-332(,)-785(y)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 152.558 368.364 Td [(s)-84(p)-84(s)-84(m)-190(\050)-193(a)-87(l)-87(p)-88(h)-87(a)-336(,)-831(t)-302(,)-785(x)-209(,)-847(b)-85(e)-85(t)-85(a)-332(,)-785(y)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 390.429 368.564 cm +1 0 0 1 339.62 368.564 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 394.54 368.364 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -242.458 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.349 0 Td [(p)-84(s)-84(b)]TJ +/F8 9.9626 Tf 343.731 368.364 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -242.459 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.349 0 Td [(p)-84(s)-84(b)]TJ ET q -1 0 0 1 199.541 356.609 cm +1 0 0 1 148.731 356.609 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 203.367 356.409 Td [(s)-84(p)-84(s)-84(m)-190(\050)-193(a)-87(l)-87(p)-88(h)-87(a)-336(,)-831(t)-302(,)-785(x)-209(,)-847(b)-85(e)-85(t)-85(a)-332(,)-785(y)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 152.558 356.409 Td [(s)-84(p)-84(s)-84(m)-190(\050)-193(a)-87(l)-87(p)-88(h)-87(a)-336(,)-831(t)-302(,)-785(x)-209(,)-847(b)-85(e)-85(t)-85(a)-332(,)-785(y)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 390.429 356.609 cm +1 0 0 1 339.62 356.609 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 394.54 356.409 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -167.011 -11.955 Td [(&)-621(t)-110(r)-110(a)-110(n)-110(s)-381(,)]TJ/F27 9.9626 Tf 55.274 0 Td [(u)-59(n)-60(i)-59(t)]TJ/F8 9.9626 Tf 24.926 0 Td [(,)-878(c)-116(h)-117(o)-117(i)-116(c)-117(e)-395(,)-855(d)-95(i)-94(a)-94(g)-350(,)-813(w)-52(o)-52(r)-51(k)-157(\051)]TJ +/F8 9.9626 Tf 343.731 356.409 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -167.012 -11.955 Td [(&)-621(t)-110(r)-110(a)-110(n)-110(s)-381(,)]TJ/F27 9.9626 Tf 55.275 0 Td [(u)-59(n)-60(i)-59(t)]TJ/F8 9.9626 Tf 24.925 0 Td [(,)-878(c)-117(h)-116(o)-117(i)-116(c)-117(e)-395(,)-855(d)-95(i)-94(a)-95(g)-350(,)-812(w)-52(o)-52(r)-51(k)-158(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -10737,58 +10427,58 @@ BT 0 g 0 G ET q -1 0 0 1 228.797 324.361 cm +1 0 0 1 177.988 324.361 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F11 9.9626 Tf 234.775 315.794 Td [(T)]TJ/F8 9.9626 Tf 7.206 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(D)]TJ/F8 9.9626 Tf 8.525 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\014)]TJ/F27 9.9626 Tf 56.892 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 183.966 315.794 Td [(T)]TJ/F8 9.9626 Tf 7.205 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td 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0 Td [(i)-81(n)]TJ/F8 9.9626 Tf 12.204 0 Td [(\051)-1520(:)-215(:)-935(g)-121(l)-120(o)-121(b)]TJ +/F8 9.9626 Tf 382.001 694.174 Td [(i)-120(n)-121(d)-120(e)-121(x)-402(,)-128(m)34(g)-95(,)-183(n)-22(p)-206(,)-190(p)-29(v)-220(,)-200(n)-38(v)-145(\051)]TJ/F27 9.9626 Tf -141.862 -11.955 Td [(i)-77(n)-77(t)-77(e)-76(g)-77(e)-77(r)]TJ/F8 9.9626 Tf 42.682 0 Td [(,)]TJ/F27 9.9626 Tf 11.178 0 Td [(i)-83(n)-83(t)-83(e)-83(n)-83(t)]TJ/F8 9.9626 Tf 42.068 0 Td [(\050)]TJ/F27 9.9626 Tf 5.728 0 Td [(i)-81(n)]TJ/F8 9.9626 Tf 12.205 0 Td [(\051)-1520(:)-215(:)-935(g)-121(l)-120(o)-121(b)]TJ ET q -1 0 0 1 362.868 682.418 cm +1 0 0 1 413.677 682.418 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 367.057 682.219 Td [(i)-120(n)-121(d)-120(e)-121(x)-402(,)-183(n)-22(p)-206(,)-117(m)45(g)]TJ/F27 9.9626 Tf -177.728 -11.956 Td [(i)-77(n)-77(t)-77(e)-76(g)-77(e)-77(r)]TJ/F8 9.9626 Tf 42.683 0 Td [(,)]TJ/F27 9.9626 Tf 11.177 0 Td [(i)-83(n)-83(t)-83(e)-83(n)-83(t)]TJ/F8 9.9626 Tf 42.068 0 Td 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[(e)1(n)1(d)-657(s)-59(u)-59(b)-59(r)-59(o)-59(u)-59(t)-59(i)-59(n)-59(e)]TJ/F8 9.9626 Tf 90.976 0 Td [(p)-130(s)-131(b)]TJ ET q -1 0 0 1 287.066 658.507 cm +1 0 0 1 337.876 658.507 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 291.354 658.308 Td [(p)-130(a)-131(r)-130(t)-130(s)]TJ/F27 9.9626 Tf -132.691 -11.955 Td [(e)1(n)1(d)-703(i)-104(n)-105(t)-104(e)-105(r)-105(f)-104(a)-105(c)-104(e)]TJ +/F8 9.9626 Tf 342.163 658.308 Td [(p)-130(a)-131(r)-130(t)-131(s)]TJ/F27 9.9626 Tf -132.69 -11.955 Td [(e)1(n)1(d)-703(i)-104(n)-105(t)-104(e)-105(r)-104(f)-105(a)-105(c)-104(e)]TJ 0 g 0 G 0 g 0 G -/F8 9.9626 Tf -11.943 -18.567 Td [(The)-333(input)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ +/F8 9.9626 Tf -11.944 -18.567 Td [(The)-333(input)-334(argumen)28(ts)-333(are:)]TJ 0 g 0 G /F27 9.9626 Tf 0 -15.034 Td [(glob)]TJ ET q -1 0 0 1 168.412 612.951 cm +1 0 0 1 219.221 612.951 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 171.849 612.752 Td [(index)]TJ +/F27 9.9626 Tf 222.658 612.752 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 +/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 -57.32 -13.495 Td [(np)]TJ +/F27 9.9626 Tf -57.321 -13.495 Td [(np)]TJ 0 g 0 G -/F8 9.9626 Tf 17.711 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ +/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 -17.711 -13.495 Td [(mg)]TJ +/F27 9.9626 Tf -17.712 -13.495 Td [(mg)]TJ 0 g 0 G -/F8 9.9626 Tf 20.257 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(the)-333(mapping;)]TJ -20.257 -15.034 Td [(The)-333(output)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ +/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 -15.034 Td [(The)-333(output)-334(argumen)28(ts)-333(are:)]TJ 0 g 0 G /F27 9.9626 Tf 0 -15.035 Td [(n)32(v)]TJ 0 g 0 G -/F8 9.9626 Tf 17.075 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.46 0 Td [(;)]TJ +/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 -139.172 -13.495 Td [(p)32(v)]TJ +/F27 9.9626 Tf -139.173 -13.495 Td [(p)32(v)]TJ 0 g 0 G -/F8 9.9626 Tf 17.075 0 Td [(A)-481(v)28(ector)-481(con)28(taining)-481(the)-481(ind)1(ice)-1(s)-480(of)-481(the)-481(pro)-28(cesses)-481(to)-481(whic)28(h)-481(the)]TJ 1.555 -11.955 Td [(global)-468(index)-468(should)-468(b)-28(e)-468(assigend;)-535(e)-1(ac)28(h)-468(en)28(try)-468(m)28(ust)-469(satisfy)-468(0)]TJ/F14 9.9626 Tf 270.508 0 Td [(\024)]TJ/F11 9.9626 Tf -270.508 -11.955 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 +/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 -11.955 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 -15.035 Td [(vg)]TJ 0 g 0 G -/F8 9.9626 Tf 16.757 0 Td [(In)-398(t)1(his)-398(case)-398(the)-397(asso)-28(ciation)-398(b)-27(e)-1(t)28(w)28(een)-398(an)-397(index)-398(and)-397(a)-398(pro)-27(ces)-1(s)-397(is)-398(sp)-27(e)-1(c-)]TJ 5.161 -11.955 Td [(i\014ed)-456(via)-456(an)-456(in)28(teger)-457(v)28(ector)]TJ/F30 9.9626 Tf 120.742 0 Td [(vg\0501:mg\051)]TJ/F8 9.9626 Tf 41.843 0 Td [(;)-517(e)-1(ac)28(h)-456(index)]TJ/F11 9.9626 Tf 59.63 0 Td [(i)]TJ/F14 9.9626 Tf 8.238 0 Td [(2)-482(f)]TJ/F8 9.9626 Tf 16.429 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 9.525 0 Td [(is)]TJ -290.189 -11.955 Td [(assigned)-449(to)-449(pro)-28(cess)]TJ/F11 9.9626 Tf 89.776 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)-792(The)-449(v)28(ector)]TJ/F30 9.9626 Tf 67.232 0 Td [(vg)]TJ/F8 9.9626 Tf 14.935 0 Td [(m)28(ust)-449(b)-28(e)-449(iden)28(tical)-450(on)-449(all)]TJ -189.546 -11.955 Td [(calling)-452(pro)-28(cesses;)-513(i)1(ts)-453(en)28(tries)-453(ma)28(y)-453(ha)28(v)28(e)-453(t)1(he)-453(ranges)-453(\0500)]TJ/F11 9.9626 Tf 236.604 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 27.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.754 0 Td [(1\051)-453(or)]TJ -274.639 -11.956 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 -11.955 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 +/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 -11.956 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 -11.955 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 -15.034 Td [(vl)]TJ 0 g 0 G -/F8 9.9626 Tf 14.211 0 Td [(In)-356(this)-357(case)-356(w)28(e)-357(are)-356(sp)-28(ecifying)-356(the)-357(list)-356(of)-356(indices)]TJ/F30 9.9626 Tf 210.707 0 Td [(vl\0501:nl\051)]TJ/F8 9.9626 Tf 45.394 0 Td [(assigned)-356(to)]TJ -248.394 -11.956 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 -11.955 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 -11.956 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 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For auxiliary communication routines not tied to a discretization space see~\ref{sec:toolsrout}. -\clearpage\subroutine{psb\_halo}{Halo Data Communication} +\clearpage\subsection*{psb\_halo --- Halo Data Communication} +\addcontentsline{toc}{subsection}{psb\_halo} + These subroutines gathers the values of the halo elements, and (optionally) scale the result: @@ -166,7 +168,8 @@ following: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_ovrl}{Overlap Update} +\clearpage\subsection*{psb\_ovrl --- Overlap Update} +\addcontentsline{toc}{subsection}{psb\_ovrl} These subroutines applies an overlap operator to the input vector: @@ -357,7 +360,8 @@ following (showing a transition among the two subdomains) % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_gather}{Gather Global Dense Matrix} +\clearpage\subsection*{psb\_gather --- Gather Global Dense Matrix} +\addcontentsline{toc}{subsection}{psb\_gather} These subroutines collect the portions of global dense matrix distributed over all process into one single array stored on one @@ -458,7 +462,8 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_scatter}{Scatter Global Dense Matrix} +\clearpage\subsection*{psb\_scatter --- Scatter Global Dense Matrix} +\addcontentsline{toc}{subsection}{psb\_scatter} These subroutines scatters the portions of global dense matrix owned by a process to all the processes in the processes grid. diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index f3e71e58..1ff1a71d 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -143,7 +143,7 @@ as follows: % \begin{Sbox} \begin{center} \begin{minipage}[tl]{0.9\textwidth} -\begin{lstlisting} +\begin{verbatim} type psb_desc_type class(psb_indx_map), allocatable :: indxmap integer, allocatable :: halo_index(:) @@ -153,7 +153,7 @@ type psb_desc_type integer, allocatable :: ovr_mst_idx(:) integer, allocatable :: bnd_elem(:) end type psb_desc_type -\end{lstlisting} +\end{verbatim} \end{minipage} \end{center} % \end{Sbox} @@ -178,11 +178,12 @@ state, which can take the following values: \subsubsection{Descriptor Methods} -\subsubsubroutine{get\_local\_rows}{Get number of local rows} +\subsubsection*{get\_local\_rows --- Get number of local rows} +\addcontentsline{toc}{paragraph}{get\_local\_rows} -\begin{lstlisting} +\begin{verbatim} nr = desc%get_local_rows() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -203,15 +204,16 @@ Scope: {\bf local}.\\ \end{description} -\subsubsubroutine{get\_local\_cols}{Get number of local cols} +\subsubsection*{get\_local\_cols --- Get number of local cols} +\addcontentsline{toc}{paragraph}{get\_local\_cols} -\begin{lstlisting} +\begin{verbatim} nc = desc%get_local_cols() -\end{lstlisting} +\end{verbatim} \begin{description} -\item[\bf On Entry] \item[Type:] Asynchronous. +\item[\bf On Entry] \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ % Type: {\bf required}.\\ @@ -229,15 +231,16 @@ Scope: {\bf local}.\\ \end{description} -\subsubsubroutine{get\_global\_rows}{Get number of global rows} +\subsubsection*{get\_global\_rows --- Get number of global rows} +\addcontentsline{toc}{paragraph}{get\_global\_rows} -\begin{lstlisting} +\begin{verbatim} nr = desc%get_global_rows() -\end{lstlisting} +\end{verbatim} \begin{description} -\item[\bf On Entry] \item[Type:] Asynchronous. +\item[\bf On Entry] \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ % Type: {\bf required}.\\ @@ -251,11 +254,12 @@ Scope: {\bf local}.\\ global index space. \end{description} -\subsubsubroutine{get\_global\_cols}{Get number of global cols} +\subsubsection*{get\_global\_cols --- Get number of global cols} +\addcontentsline{toc}{paragraph}{get\_global\_cols} -\begin{lstlisting} +\begin{verbatim} nr = desc%get_global_cols() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -274,11 +278,12 @@ Scope: {\bf local}.\\ \end{description} -\subsubsubroutine{get\_context}{Get communication context} +\subsubsection*{get\_context --- Get communication context} +\addcontentsline{toc}{paragraph}{get\_context} -\begin{lstlisting} +\begin{verbatim} ictxt = desc%get_context() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -295,11 +300,12 @@ Scope: {\bf local}.\\ \item[Function value] The communication context. \end{description} -\subsubsubroutine{Clone}{clone current object} +\subsubsection*{Clone --- clone current object} +\addcontentsline{toc}{paragraph}{Clone} -\begin{lstlisting} +\begin{verbatim} call desc%clone(descout,info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -318,12 +324,13 @@ Scope: {\bf local}.\\ \end{description} -\subsubsubroutine{psb\_cd\_get\_large\_threshold}{Get threshold for +\subsubsection*{psb\_cd\_get\_large\_threshold --- Get threshold for index mapping switch} +\addcontentsline{toc}{paragraph}{psb\_cd\_get\_large\_threshold} -\begin{lstlisting} +\begin{verbatim} ith = psb_cd_get_large_threshold() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -334,12 +341,13 @@ ith = psb_cd_get_large_threshold() -\subsubsubroutine{psb\_cd\_set\_large\_threshold}{Set threshold for +\subsubsection*{psb\_cd\_set\_large\_threshold --- Set threshold for index mapping switch} +\addcontentsline{toc}{paragraph}{psb\_cd\_set\_large\_threshold} -\begin{lstlisting} +\begin{verbatim} call psb_cd_set_large_threshold(ith) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -414,15 +422,11 @@ library at runtime via the \verb|psb_spasb| routine. % \begin{Sbox} \begin{center} \begin{minipage}[tl]{0.85\textwidth} -\begin{lstlisting} - +\begin{verbatim} type :: psb_Tspmat_type - class(psb_T_base_sparse_mat), allocatable :: a - end type psb_Tspmat_type - -\end{lstlisting} +\end{verbatim} \end{minipage} \end{center} % \end{Sbox} @@ -459,11 +463,12 @@ variants are obtained by conversion to/from it. \subsubsection{Sparse Matrix Methods} -\subsubsubroutine{get\_nrows}{Get number of rows in a sparse matrix} +\subsubsection*{get\_nrows --- Get number of rows in a sparse matrix} +\addcontentsline{toc}{paragraph}{get\_nrows} -\begin{lstlisting} +\begin{verbatim} nr = a%get_nrows() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -481,11 +486,13 @@ Scope: {\bf local}\\ \end{description} -\subsubsubroutine{get\_ncols}{Get number of columns in a sparse matrix} +\subsubsection*{get\_ncols --- Get number of columns in a sparse + matrix} +\addcontentsline{toc}{paragraph}{get\_ncols} -\begin{lstlisting} +\begin{verbatim} nc = a%get_ncols() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -503,12 +510,13 @@ Scope: {\bf local}\\ \end{description} -\subsubsubroutine{get\_nnzeros}{Get number of nonzero elements +\subsubsection*{get\_nnzeros --- Get number of nonzero elements in a sparse matrix} +\addcontentsline{toc}{paragraph}{get\_nnzeros} -\begin{lstlisting} +\begin{verbatim} nz = a%get_nnzeros() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -532,12 +540,13 @@ Scope: {\bf local}\\ value for the same matrix may be different for different storage choices. \end{enumerate} -\subsubsubroutine{get\_size }{Get maximum number of nonzero elements +\subsubsection*{get\_size --- Get maximum number of nonzero elements in a sparse matrix} +\addcontentsline{toc}{paragraph}{get\_size } -\begin{lstlisting} +\begin{verbatim} maxnz = a%get_size() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -555,12 +564,13 @@ Scope: {\bf local}\\ be stored in sparse matrix \verb|a| using its current memory allocation. \end{description} -\subsubsubroutine{sizeof }{Get memory occupation in bytes +\subsubsection*{sizeof --- Get memory occupation in bytes of a sparse matrix} +\addcontentsline{toc}{paragraph}{sizeof } -\begin{lstlisting} +\begin{verbatim} memory_size = a%sizeof() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -578,11 +588,12 @@ Scope: {\bf local}\\ \end{description} -\subsubsubroutine{get\_fmt }{Short description of the dynamic type} +\subsubsection*{get\_fmt --- Short description of the dynamic type} +\addcontentsline{toc}{paragraph}{get\_fmt } -\begin{lstlisting} +\begin{verbatim} write(*,*) a%get_fmt() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -601,13 +612,14 @@ Scope: {\bf local}\\ \verb|CSR| and \verb|CSC|. \end{description} -\subsubsubroutine{is\_bld, is\_upd, is\_asb }{Status check} +\subsubsection*{is\_bld, is\_upd, is\_asb --- Status check} +\addcontentsline{toc}{paragraph}{is\_bld, is\_upd, is\_asb } -\begin{lstlisting} +\begin{verbatim} if (a%is_bld()) then if (a%is_upd()) then if (a%is_asb()) then -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -626,11 +638,12 @@ Scope: {\bf local}\\ \end{description} -\subsubsubroutine{clone}{Clone current object} +\subsubsection*{clone --- Clone current object} +\addcontentsline{toc}{paragraph}{clone} -\begin{lstlisting} +\begin{verbatim} call a%clone(b,info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -699,7 +712,7 @@ private memory. % \begin{Sbox} \begin{center} \begin{minipage}[tl]{0.85\textwidth} -\begin{lstlisting} +\begin{verbatim} type psb_T_base_vect_type TYPE(KIND_), allocatable :: v(:) end type psb_T_base_vect_type @@ -708,7 +721,7 @@ private memory. class(psb_T_base_vect_type), allocatable :: v end type psb_T_vect_type -\end{lstlisting} +\end{verbatim} \end{minipage} \end{center} % \end{Sbox} @@ -722,11 +735,12 @@ private memory. \end{figure} \subsubsection{Vector Methods} -\subsubsubroutine{get\_nrows}{Get number of rows in a dense vector} +\subsubsection*{get\_nrows --- Get number of rows in a dense vector} +\addcontentsline{toc}{paragraph}{get\_nrows} -\begin{lstlisting} +\begin{verbatim} nr = v%get_nrows() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -744,12 +758,13 @@ Scope: {\bf local}\\ \end{description} -\subsubsubroutine{sizeof }{Get memory occupation in bytes +\subsubsection*{sizeof --- Get memory occupation in bytes of a dense vector} +\addcontentsline{toc}{paragraph}{sizeof } -\begin{lstlisting} +\begin{verbatim} memory_size = v%sizeof() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -767,11 +782,12 @@ Scope: {\bf local}\\ \end{description} -\subsubsubroutine{get\_vect }{Get a copy of the vector contents} +\subsubsection*{get\_vect --- Get a copy of the vector contents} +\addcontentsline{toc}{paragraph}{get\_vect } -\begin{lstlisting} +\begin{verbatim} extv = v%get_vect() -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -789,10 +805,11 @@ Scope: {\bf local}\\ vector contents. \end{description} -\subsubsubroutine{clone}{Clone current object} -\begin{lstlisting} +\subsubsection*{clone --- Clone current object} +\addcontentsline{toc}{paragraph}{clone} +\begin{verbatim} call x%clone(y,info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -840,13 +857,13 @@ dynamic type corresponding to the desired preconditioner. % \begin{Sbox} \begin{center} \begin{minipage}[tl]{0.9\textwidth} -\begin{lstlisting} +\begin{verbatim} type psb_Tprec_type class(psb_T_base_prec_type), allocatable :: prec end type psb_Tprec_type -\end{lstlisting} +\end{verbatim} \end{minipage} \end{center} % \end{Sbox} diff --git a/docs/src/intro.tex b/docs/src/intro.tex index fbf48020..e2987d67 100644 --- a/docs/src/intro.tex +++ b/docs/src/intro.tex @@ -460,7 +460,7 @@ the tools routines. However there are many cases where no synchronization, and indeed no communication among processes, is implied; for instance, all the routines in -sec.~\ref{sec:dataquery} are only acting on the local data structures, +sec.~\ref{sec:datastruct} are only acting on the local data structures, and thus may be called independently. The most important case is that of the coefficient insertion routines: since the number of coefficients in the sparse and dense matrices varies among the diff --git a/docs/src/methods.tex b/docs/src/methods.tex index 7d34ff93..277e13a0 100644 --- a/docs/src/methods.tex +++ b/docs/src/methods.tex @@ -11,8 +11,9 @@ the module \verb|psb_krylov_mod|. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_krylov \label{krylov}}{Krylov Methods Driver +\clearpage\subsection*{psb\_krylov \label{krylov} --- Krylov Methods Driver Routine} +\addcontentsline{toc}{subsection}{psb\_krylov} This subroutine is a driver that provides a general interface for all the Krylov-Subspace family methods implemented in PSBLAS version 2. diff --git a/docs/src/penv.tex b/docs/src/penv.tex index bcaea4a2..0962e580 100644 --- a/docs/src/penv.tex +++ b/docs/src/penv.tex @@ -2,11 +2,13 @@ \section{Parallel environment routines} \label{sec:parenv} -\clearpage\subroutine{psb\_init}{Initializes PSBLAS parallel environment} +\clearpage\subsection*{psb\_init --- Initializes PSBLAS parallel + environment} +\addcontentsline{toc}{subsection}{psb\_init} -\begin{lstlisting} +\begin{verbatim} call psb_init(icontxt, np, basectxt, ids) -\end{lstlisting} +\end{verbatim} This subroutine initializes the PSBLAS parallel environment, defining a virtual parallel machine. @@ -59,12 +61,13 @@ Specified as: an integer variable. \end{enumerate} -\clearpage\subroutine{psb\_info}{Return information about PSBLAS parallel +\clearpage\subsection*{psb\_info --- Return information about PSBLAS parallel environment} +\addcontentsline{toc}{subsection}{psb\_info} -\begin{lstlisting} +\begin{verbatim} call psb_info(icontxt, iam, np) -\end{lstlisting} +\end{verbatim} This subroutine returns information about the PSBLAS parallel environment, defining a virtual parallel machine. @@ -106,12 +109,14 @@ Specified as: an integer variable. \ \end{enumerate} -\clearpage\subroutine{psb\_exit}{Exit from PSBLAS parallel environment} +\clearpage\subsection*{psb\_exit --- Exit from PSBLAS parallel + environment} +\addcontentsline{toc}{subsection}{psb\_exit} -\begin{lstlisting} +\begin{verbatim} call psb_exit(icontxt) call psb_exit(icontxt,close) -\end{lstlisting} +\end{verbatim} This subroutine exits from the PSBLAS parallel virtual machine. \begin{description} @@ -148,11 +153,12 @@ Specified as: a logical variable, default value: true. \end{enumerate} -\clearpage\subroutine{psb\_get\_mpicomm}{Get the MPI communicator} +\clearpage\subsection*{psb\_get\_mpicomm --- Get the MPI communicator} +\addcontentsline{toc}{subsection}{psb\_get\_mpicomm} -\begin{lstlisting} +\begin{verbatim} call psb_get_mpicomm(icontxt, icomm) -\end{lstlisting} +\end{verbatim} This subroutine returns the MPI communicator associated with a PSBLAS context \begin{description} @@ -175,11 +181,12 @@ Intent: {\bf out}.\\ \end{description} -\clearpage\subroutine{psb\_get\_rank}{Get the MPI rank} +\clearpage\subsection*{psb\_get\_rank --- Get the MPI rank} +\addcontentsline{toc}{subsection}{psb\_get\_rank} -\begin{lstlisting} +\begin{verbatim} call psb_get_rank(rank, icontxt, id) -\end{lstlisting} +\end{verbatim} This subroutine returns the MPI rank of the PSBLAS process $id$ \begin{description} @@ -209,11 +216,12 @@ Intent: {\bf out}.\\ -\clearpage\subroutine{psb\_wtime}{Wall clock timing} +\clearpage\subsection*{psb\_wtime --- Wall clock timing} +\addcontentsline{toc}{subsection}{psb\_wtime} -\begin{lstlisting} +\begin{verbatim} time = psb_wtime() -\end{lstlisting} +\end{verbatim} This function returns a wall clock timer. The resolution of the timer is dependent on the underlying parallel environment implementation. @@ -225,12 +233,13 @@ Returned as: a \verb|real(psb_dpk_)| variable. \end{description} -\clearpage\subroutine{psb\_barrier}{Sinchronization point parallel +\clearpage\subsection*{psb\_barrier --- Sinchronization point parallel environment} +\addcontentsline{toc}{subsection}{psb\_barrier} -\begin{lstlisting} +\begin{verbatim} call psb_barrier(icontxt) -\end{lstlisting} +\end{verbatim} This subroutine acts as an explicit synchronization point for the PSBLAS parallel virtual machine. @@ -246,11 +255,12 @@ Specified as: an integer variable. \end{description} -\clearpage\subroutine{psb\_abort}{Abort a computation} +\clearpage\subsection*{psb\_abort --- Abort a computation} +\addcontentsline{toc}{subsection}{psb\_abort} -\begin{lstlisting} +\begin{verbatim} call psb_abort(icontxt) -\end{lstlisting} +\end{verbatim} This subroutine aborts computation on the parallel virtual machine. \begin{description} @@ -268,11 +278,12 @@ Specified as: an integer variable. -\clearpage\subroutine{psb\_bcast}{Broadcast data} +\clearpage\subsection*{psb\_bcast --- Broadcast data} +\addcontentsline{toc}{subsection}{psb\_bcast} -\begin{lstlisting} +\begin{verbatim} call psb_bcast(icontxt, dat, root) -\end{lstlisting} +\end{verbatim} This subroutine implements a broadcast operation based on the underlying communication library. @@ -313,11 +324,12 @@ Type, kind, rank and size must agree on all processes. \end{description} -\clearpage\subroutine{psb\_sum}{Global sum} +\clearpage\subsection*{psb\_sum --- Global sum} +\addcontentsline{toc}{subsection}{psb\_sum} -\begin{lstlisting} +\begin{verbatim} call psb_sum(icontxt, dat, root) -\end{lstlisting} +\end{verbatim} This subroutine implements a sum reduction operation based on the underlying communication library. @@ -367,11 +379,12 @@ Type, kind, rank and size must agree on all processes. -\clearpage\subroutine{psb\_max}{Global maximum} +\clearpage\subsection*{psb\_max --- Global maximum} +\addcontentsline{toc}{subsection}{psb\_max} -\begin{lstlisting} +\begin{verbatim} call psb_max(icontxt, dat, root) -\end{lstlisting} +\end{verbatim} This subroutine implements a maximum valuereduction operation based on the underlying communication library. @@ -420,11 +433,12 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subroutine{psb\_min}{Global minimum} +\clearpage\subsection*{psb\_min --- Global minimum} +\addcontentsline{toc}{subsection}{psb\_min} -\begin{lstlisting} +\begin{verbatim} call psb_min(icontxt, dat, root) -\end{lstlisting} +\end{verbatim} This subroutine implements a minimum value reduction operation based on the underlying communication library. @@ -473,11 +487,12 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subroutine{psb\_amx}{Global maximum absolute value} +\clearpage\subsection*{psb\_amx --- Global maximum absolute value} +\addcontentsline{toc}{subsection}{psb\_amx} -\begin{lstlisting} +\begin{verbatim} call psb_amx(icontxt, dat, root) -\end{lstlisting} +\end{verbatim} This subroutine implements a maximum absolute value reduction operation based on the underlying communication library. @@ -526,11 +541,12 @@ Type, kind, rank and size must agree on all processes. \item The \verb|dat| argument may also be a long integer scalar. \end{enumerate} -\clearpage\subroutine{psb\_amn}{Global minimum absolute value} +\clearpage\subsection*{psb\_amn --- Global minimum absolute value} +\addcontentsline{toc}{subsection}{psb\_amn} -\begin{lstlisting} +\begin{verbatim} call psb_amn(icontxt, dat, root) -\end{lstlisting} +\end{verbatim} This subroutine implements a minimum absolute value reduction operation based on the underlying communication library. @@ -580,11 +596,12 @@ Type, kind, rank and size must agree on all processes. \end{enumerate} -\clearpage\subroutine{psb\_snd}{Send data} +\clearpage\subsection*{psb\_snd --- Send data} +\addcontentsline{toc}{subsection}{psb\_snd} -\begin{lstlisting} +\begin{verbatim} call psb_snd(icontxt, dat, dst, m) -\end{lstlisting} +\end{verbatim} This subroutine sends a packet of data to a destination. \begin{description} @@ -631,11 +648,12 @@ same value on sending and receiving processes. \end{enumerate} -\clearpage\subroutine{psb\_rcv}{Receive data} +\clearpage\subsection*{psb\_rcv --- Receive data} +\addcontentsline{toc}{subsection}{psb\_rcv} -\begin{lstlisting} +\begin{verbatim} call psb_rcv(icontxt, dat, src, m) -\end{lstlisting} +\end{verbatim} This subroutine receives a packet of data to a destination. \begin{description} diff --git a/docs/src/precs.tex b/docs/src/precs.tex index 96cc6891..2db696f9 100644 --- a/docs/src/precs.tex +++ b/docs/src/precs.tex @@ -23,11 +23,12 @@ module \verb|psb_prec_mod|. -\clearpage\subroutine{psb\_precinit}{Initialize a preconditioner} +\clearpage\subsection*{psb\_precinit --- Initialize a preconditioner} +\addcontentsline{toc}{subsection}{psb\_precinit} -\begin{lstlisting} +\begin{verbatim} call psb_precinit(prec, ptype, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -79,11 +80,12 @@ $ptype$ string as follows\footnote{The string is case-insensitive}: \end{description} -\clearpage\subroutine{psb\_precbld}{Builds a preconditioner} +\clearpage\subsection*{psb\_precbld --- Builds a preconditioner} +\addcontentsline{toc}{subsection}{psb\_precbld} -\begin{lstlisting} +\begin{verbatim} call psb_precbld(a, desc_a, prec, info,amold,vmold) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -137,12 +139,14 @@ An integer value; 0 means no error has been detected. -\clearpage\subroutine{psb\_precaply}{Preconditioner application routine} +\clearpage\subsection*{psb\_precaply --- Preconditioner application + routine} +\addcontentsline{toc}{subsection}{psb\_precaply} -\begin{lstlisting} +\begin{verbatim} call psb_precaply(prec,x,y,desc_a,info,trans,work) call psb_precaply(prec,x,desc_a,info,trans) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -190,13 +194,14 @@ An integer value; 0 means no error has been detected. -\clearpage\subroutine{psb\_precdescr}{Prints a description of current +\clearpage\subsection*{psb\_precdescr --- Prints a description of current preconditioner} +\addcontentsline{toc}{subsection}{psb\_precdescr} -\begin{lstlisting} +\begin{verbatim} call psb_precdescr(prec) call psb_precdescr(prec, iout) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -215,11 +220,12 @@ Specified as: an integer number. -\clearpage\subroutine{clone}{clone current +\clearpage\subsection*{clone --- clone current preconditioner} -\begin{lstlisting} +\addcontentsline{toc}{subsection}{clone} +\begin{verbatim} call prec%clone(precout,info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. diff --git a/docs/src/psbrout.tex b/docs/src/psbrout.tex index 489498fa..4a621c59 100644 --- a/docs/src/psbrout.tex +++ b/docs/src/psbrout.tex @@ -5,7 +5,8 @@ % DENSE MATRIX SUM % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_geaxpby}{General Dense Matrix Sum} +\clearpage\subsection*{psb\_geaxpby --- General Dense Matrix Sum} +\addcontentsline{toc}{subsection}{psb\_geaxpby} This subroutine is an interface to the computational kernel for dense matrix sum: @@ -16,9 +17,9 @@ dense matrix sum: %% \item[$y$] represents the global dense submatrix $y_{:, :}$ %% \end{description} -\begin{lstlisting} +\begin{verbatim} call psb_geaxpby(alpha, x, beta, y, desc_a, info) -\end{lstlisting} +\end{verbatim} %% \syntax*{call psb\_geaxpby}{alpha, x, beta, y, desc\_a, info, n, jx, jy} %( calculating y <- alpha*x+beta*y ) @@ -113,7 +114,8 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_gedot}{Dot Product} +\clearpage\subsection*{psb\_gedot --- Dot Product} +\addcontentsline{toc}{subsection}{psb\_gedot} This function computes dot product between two vectors $x$ and $y$.\\ @@ -128,9 +130,9 @@ Else if $x$ and $y$ are complex vectors then it computes dot-product as: %% \item[$y$] represents the global subvector $y_{:,jy}$ %% \end{description} -\begin{lstlisting} +\begin{verbatim} psb_gedot(x, y, desc_a, info) -\end{lstlisting} +\end{verbatim} %% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} \begin{table}[h] \begin{center} @@ -204,7 +206,8 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_gedots}{Generalized Dot Product} +\clearpage\subsection*{psb\_gedots --- Generalized Dot Product} +\addcontentsline{toc}{subsection}{psb\_gedots} This subroutine computes a series of dot products among the columns of two dense matrices $x$ and $y$: @@ -214,9 +217,9 @@ usual convention applies, i.e. the conjugate transpose of $x$ is used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it is a rank one array. -\begin{lstlisting} +\begin{verbatim} call psb_gedots(res, x, y, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{table}[h] \begin{center} \begin{tabular}{ll} @@ -277,7 +280,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_geamax}{Infinity-Norm of Vector} +\clearpage\subsection*{psb\_geamax --- Infinity-Norm of Vector} +\addcontentsline{toc}{subsection}{psb\_geamax} This function computes the infinity-norm of a vector $x$.\\ @@ -291,9 +295,9 @@ else if $x$ is a complex vector then it computes the infinity-norm as: %% \item[$x$] represents the global subvector $x_{:,jx}$ %% \end{description} -\begin{lstlisting} +\begin{verbatim} psb_geamax(x, desc_a, info) -\end{lstlisting} +\end{verbatim} %% \syntax*{psb\_geamax}{x, desc\_a, info, jx} \begin{table}[h] @@ -354,15 +358,16 @@ An integer value; 0 means no error has been detected. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_geamaxs}{Generalized Infinity Norm} +\clearpage\subsection*{psb\_geamaxs --- Generalized Infinity Norm} +\addcontentsline{toc}{subsection}{psb\_geamaxs} This subroutine computes a series of infinity norms on the columns of a dense matrix $x$: \[ res(i) \leftarrow \max_k |x(k,i)| \] -\begin{lstlisting} +\begin{verbatim} call psb_geamaxs(res, x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{table}[h] \begin{center} @@ -415,7 +420,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_geasum}{1-Norm of Vector} +\clearpage\subsection*{psb\_geasum --- 1-Norm of Vector} +\addcontentsline{toc}{subsection}{psb\_geasum} This function computes the 1-norm of a vector $x$.\\ If $x$ is a real vector @@ -425,9 +431,9 @@ else if $x$ is a complex vector then it computes 1-norm as: \[ asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1\] -\begin{lstlisting} +\begin{verbatim} psb_geasum(x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{table}[h] \begin{center} @@ -476,7 +482,8 @@ An integer value; 0 means no error has been detected. \end{description} -\clearpage\subroutine{psb\_geasums}{Generalized 1-Norm of Vector} +\clearpage\subsection*{psb\_geasums --- Generalized 1-Norm of Vector} +\addcontentsline{toc}{subsection}{psb\_geasums} This subroutine computes a series of 1-norms on the columns of a dense matrix $x$: @@ -489,9 +496,9 @@ else if $x$ is a complex vector then it computes 1-norm as: \[ res(i) \leftarrow \|re(x)\|_1 + \|im(x)\|_1\] -\begin{lstlisting} +\begin{verbatim} call psb_geasums(res, x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{table}[h] \begin{center} @@ -549,7 +556,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_genrm2}{2-Norm of Vector} +\clearpage\subsection*{psb\_genrm2 --- 2-Norm of Vector} +\addcontentsline{toc}{subsection}{psb\_genrm2} This function computes the 2-norm of a vector $x$.\\ If $x$ is a real vector @@ -578,9 +586,9 @@ Long Precision Real&Long Precision Complex & psb\_genrm2 \\ \caption{Data types\label{tab:f90nrm2}} \end{table} -\begin{lstlisting} +\begin{verbatim} psb_genrm2(x, desc_a, info) -\end{lstlisting} +\end{verbatim} %% \syntax*{psb\_genrm2}{x, desc\_a, info, jx} \begin{description} @@ -622,16 +630,17 @@ An integer value; 0 means no error has been detected. -\clearpage\subroutine{psb\_genrm2s}{Generalized 2-Norm of Vector} +\clearpage\subsection*{psb\_genrm2s --- Generalized 2-Norm of Vector} +\addcontentsline{toc}{subsection}{psb\_genrm2s} This subroutine computes a series of 2-norms on the columns of a dense matrix $x$: \[ res(i) \leftarrow \|x(:,i)\|_2 \] -\begin{lstlisting} +\begin{verbatim} call psb_genrm2s(res, x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{table}[h] \begin{center} @@ -689,7 +698,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_spnrm1}{1-Norm of Sparse Matrix} +\clearpage\subsection*{psb\_spnrm1 --- 1-Norm of Sparse Matrix} +\addcontentsline{toc}{subsection}{psb\_spnrm1} This function computes the 1-norm of a matrix $A$:\\ @@ -715,9 +725,9 @@ Long Precision Complex & psb\_spnrm1 \\ \caption{Data types\label{tab:f90nrm1}} \end{table} -\begin{lstlisting} +\begin{verbatim} psb_spnrm1(A, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -752,7 +762,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_spnrmi}{Infinity Norm of Sparse Matrix} +\clearpage\subsection*{psb\_spnrmi --- Infinity Norm of Sparse Matrix} +\addcontentsline{toc}{subsection}{psb\_spnrmi} This function computes the infinity-norm of a matrix $A$:\\ @@ -778,9 +789,9 @@ Long Precision Complex & psb\_spnrmi \\ \caption{Data types\label{tab:f90nrmi}} \end{table} -\begin{lstlisting} +\begin{verbatim} psb_spnrmi(A, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -815,7 +826,9 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_spmm}{Sparse Matrix by Dense Matrix Product} +\clearpage\subsection*{psb\_spmm --- Sparse Matrix by Dense Matrix + Product} +\addcontentsline{toc}{subsection}{psb\_spmm} This subroutine computes the Sparse Matrix by Dense Matrix Product: @@ -855,11 +868,11 @@ Long Precision Complex & psb\_spmm \\ \caption{Data types\label{tab:f90spmm}} \end{table} -\begin{lstlisting} +\begin{verbatim} call psb_spmm(alpha, a, x, beta, y, desc_a, info) call psb_spmm(alpha, a, x, beta, y,desc_a, info, & & trans, work) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -966,7 +979,8 @@ An integer value; 0 means no error has been detected. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\clearpage\subroutine{psb\_spsm}{Triangular System Solve} +\clearpage\subsection*{psb\_spsm --- Triangular System Solve} +\addcontentsline{toc}{subsection}{psb\_spsm} This subroutine computes the Triangular System Solve: @@ -991,11 +1005,11 @@ where: \item[$D$] is the scaling diagonal matrix. \end{description} -\begin{lstlisting} +\begin{verbatim} 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) -\end{lstlisting} +\end{verbatim} \begin{table}[h] \begin{center} diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex index cc0573d1..7a6e63f5 100644 --- a/docs/src/toolsrout.tex +++ b/docs/src/toolsrout.tex @@ -5,15 +5,16 @@ % %% psb_cdall %% % -\subroutine{psb\_cdall}{Allocates a communication descriptor} +\subsection*{psb\_cdall --- Allocates a communication descriptor} +\addcontentsline{toc}{subsection}{psb\_cdall} -\begin{lstlisting} +\begin{verbatim} 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.) -\end{lstlisting} +\end{verbatim} This subroutine initializes the communication descriptor associated with an index space. One of the optional arguments @@ -108,14 +109,14 @@ An integer value; 0 means no error has been detected. optional argument is specified, then it is mandatory to specify the argument \verb|mg| as well. The subroutine must conform to the following interface: -\begin{lstlisting} +\begin{verbatim} 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 -\end{lstlisting} +\end{verbatim} The input arguments are: \begin{description} \item[glob\_index] The global index to be mapped; @@ -195,12 +196,14 @@ An integer value; 0 means no error has been detected. % %% psb_cdins %% % -\clearpage\subroutine{psb\_cdins}{Communication descriptor insert routine} +\clearpage\subsection*{psb\_cdins --- Communication descriptor insert + routine} +\addcontentsline{toc}{subsection}{psb\_cdins} -\begin{lstlisting} +\begin{verbatim} call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla]) call psb_cdins(nz,ja,desc,info[,jla,mask,lidx]) -\end{lstlisting} +\end{verbatim} This subroutine examines the edges of the graph associated with the discretization mesh (and isomorphic to the sparsity pattern of a @@ -289,11 +292,13 @@ nor the end vertex belong to the current process. % %% psb_cdasb %% % -\clearpage\subroutine{psb\_cdasb}{Communication descriptor assembly routine} +\clearpage\subsection*{psb\_cdasb --- Communication descriptor assembly + routine} +\addcontentsline{toc}{subsection}{psb\_cdasb} -\begin{lstlisting} +\begin{verbatim} call psb_cdasb(desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -330,11 +335,12 @@ An integer value; 0 means no error has been detected. % %% psb_cdcpy %% % -\clearpage\subroutine{psb\_cdcpy}{Copies a communication descriptor} +\clearpage\subsection*{psb\_cdcpy --- Copies a communication descriptor} +\addcontentsline{toc}{subsection}{psb\_cdcpy} -\begin{lstlisting} +\begin{verbatim} call psb_cdcpy(desc_in, desc_out, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -365,11 +371,12 @@ An integer value; 0 means no error has been detected. % %% psb_cdfree %% % -\clearpage\subroutine{psb\_cdfree}{Frees a communication descriptor} +\clearpage\subsection*{psb\_cdfree --- Frees a communication descriptor} +\addcontentsline{toc}{subsection}{psb\_cdfree} -\begin{lstlisting} +\begin{verbatim} call psb_cdfree(desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -395,12 +402,13 @@ An integer value; 0 means no error has been detected. % %% psb_cdcpy %% % -\clearpage\subroutine{psb\_cdbldext}{Build an extended communication +\clearpage\subsection*{psb\_cdbldext --- Build an extended communication descriptor} +\addcontentsline{toc}{subsection}{psb\_cdbldext} -\begin{lstlisting} +\begin{verbatim} call psb_cdbldext(a,desc_a,nl,desc_out, info, extype) -\end{lstlisting} +\end{verbatim} This subroutine builds an extended communication descriptor, based on the input descriptor \verb|desc_a| and on the stencil specified @@ -464,8 +472,9 @@ An integer value; 0 means no error has been detected. %% % %% %% psb_cdren %% %% % -%% \subroutine{psb\_cdren}{Applies a renumeration to a +%% \subsection*{psb\_cdren --- Applies a renumeration to a %% communication descriptor} +%% \addcontentsline{toc}{subsection}{psb\_cdren} %% \syntax{call psb\_cdren}{trans, iperm, desc\_a, info} @@ -500,7 +509,8 @@ An integer value; 0 means no error has been detected. % %% psb_descprt %% % -%% \subroutine{psb\_cdprt}{Prints a descriptor} +%% \subsection*{psb\_cdprt --- Prints a descriptor} +%%\addcontentsline{toc}{subsection}{psb\_cdprt} %% \syntax{call psb\_cdprt}{iout, desc\_a, glob, short} @@ -529,11 +539,12 @@ An integer value; 0 means no error has been detected. % %% psb_spalloc %% % -\clearpage\subroutine{psb\_spall}{Allocates a sparse matrix} +\clearpage\subsection*{psb\_spall --- Allocates a sparse matrix} +\addcontentsline{toc}{subsection}{psb\_spall} -\begin{lstlisting} +\begin{verbatim} call psb_spall(a, desc_a, info, nnz) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -580,12 +591,13 @@ An integer value; 0 means no error has been detected. % %% psb_spins %% % -\clearpage\subroutine{psb\_spins}{Insert a cloud of elements into a sparse +\clearpage\subsection*{psb\_spins --- Insert a cloud of elements into a sparse matrix} +\addcontentsline{toc}{subsection}{psb\_spins} -\begin{lstlisting} +\begin{verbatim} call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -685,11 +697,12 @@ An integer value; 0 means no error has been detected. % %% psb_spasb %% % -\clearpage\subroutine{psb\_spasb}{Sparse matrix assembly routine} +\clearpage\subsection*{psb\_spasb --- Sparse matrix assembly routine} +\addcontentsline{toc}{subsection}{psb\_spasb} -\begin{lstlisting} +\begin{verbatim} call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -759,8 +772,9 @@ An integer value; 0 means no error has been detected. %% % %% %% psb_spcnv %% %% % -%% \subroutine{psb\_spcnv}{Converts a sparse matrix storage +%% \subsection*{psb\_spcnv --- Converts a sparse matrix storage %% format} +%%\addcontentsline{toc}{subsection}{psb\_spcnv} %% \syntax{call psb\_spcnv}{a, b, desc\_a, info} @@ -793,11 +807,12 @@ An integer value; 0 means no error has been detected. % %% psb_spfree %% % -\clearpage\subroutine{psb\_spfree}{Frees a sparse matrix} +\clearpage\subsection*{psb\_spfree --- Frees a sparse matrix} +\addcontentsline{toc}{subsection}{psb\_spfree} -\begin{lstlisting} +\begin{verbatim} call psb_spfree(a, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -829,12 +844,13 @@ An integer value; 0 means no error has been detected. % %% psb_sprn %% % -\clearpage\subroutine{psb\_sprn}{Reinit sparse matrix structure for psblas +\clearpage\subsection*{psb\_sprn --- Reinit sparse matrix structure for psblas routines.} +\addcontentsline{toc}{subsection}{psb\_sprn} -\begin{lstlisting} +\begin{verbatim} call psb_sprn(a, decsc_a, info, clear) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -872,7 +888,8 @@ An integer value; 0 means no error has been detected. % %% psb_spupdate %% % -%% \subroutine{psb\_spupdate}{Updates a sparse matrix.} +%% \subsection*{psb\_spupdate --- Updates a sparse matrix.} +%%\addcontentsline{toc}{subsection}{psb\_spupdate} %% \syntax{call psb\_spupdate}{a, ia, ja, blck, desc\_a, info, ix, jx, updflag} @@ -886,8 +903,9 @@ An integer value; 0 means no error has been detected. %% % %% %% psb_csrp %% %% % -%% \subroutine{psb\_csrp}{Applies a right permutation to a sparse +%% \subsection*{psb\_csrp --- Applies a right permutation to a sparse %% matrix} +%%\addcontentsline{toc}{subsection}{psb\_csrp} %% \syntax{call psb\_csrp}{trans, iperm, a, info} @@ -917,11 +935,12 @@ An integer value; 0 means no error has been detected. % %% psb_alloc %% % -\clearpage\subroutine{psb\_geall}{Allocates a dense matrix} +\clearpage\subsection*{psb\_geall --- Allocates a dense matrix} +\addcontentsline{toc}{subsection}{psb\_geall} -\begin{lstlisting} +\begin{verbatim} call psb_geall(x, desc_a, info, n, lb) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -964,11 +983,12 @@ An integer value; 0 means no error has been detected. % %% psb_ins %% % -\clearpage\subroutine{psb\_geins}{Dense matrix insertion routine} +\clearpage\subsection*{psb\_geins --- Dense matrix insertion routine} +\addcontentsline{toc}{subsection}{psb\_geins} -\begin{lstlisting} +\begin{verbatim} call psb_geins(m, irw, val, x, desc_a, info [,dupl,local]) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1036,11 +1056,12 @@ An integer value; 0 means no error has been detected. % %% psb_asb %% % -\clearpage\subroutine{psb\_geasb}{Assembly a dense matrix} +\clearpage\subsection*{psb\_geasb --- Assembly a dense matrix} +\addcontentsline{toc}{subsection}{psb\_geasb} -\begin{lstlisting} +\begin{verbatim} call psb_geasb(x, desc_a, info, mold) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -1075,11 +1096,12 @@ An integer value; 0 means no error has been detected. % %% psb_free %% % -\clearpage\subroutine{psb\_gefree}{Frees a dense matrix} +\clearpage\subsection*{psb\_gefree --- Frees a dense matrix} +\addcontentsline{toc}{subsection}{psb\_gefree} -\begin{lstlisting} +\begin{verbatim} call psb_gefree(x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Synchronous. @@ -1112,12 +1134,13 @@ An integer value; 0 means no error has been detected. % %% psb_gelp %% % -\clearpage\subroutine{psb\_gelp}{Applies a left permutation to a dense +\clearpage\subsection*{psb\_gelp --- Applies a left permutation to a dense matrix} +\addcontentsline{toc}{subsection}{psb\_gelp} -\begin{lstlisting} +\begin{verbatim} call psb_gelp(trans, iperm, x, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1152,13 +1175,14 @@ An integer value; 0 means no error has been detected. % %% psb_glob_to_loc %% % -\clearpage\subroutine{psb\_glob\_to\_loc}{Global to local indices +\clearpage\subsection*{psb\_glob\_to\_loc --- Global to local indices convertion} +\addcontentsline{toc}{subsection}{psb\_glob\_to\_loc} -\begin{lstlisting} +\begin{verbatim} call psb_glob_to_loc(x, y, desc_a, info, iact,owned) call psb_glob_to_loc(x, desc_a, info, iact,owned) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1219,13 +1243,14 @@ An integer value; 0 means no error has been detected. \end{enumerate} -\clearpage\subroutine{psb\_loc\_to\_glob}{Local to global indices +\clearpage\subsection*{psb\_loc\_to\_glob --- Local to global indices conversion} +\addcontentsline{toc}{subsection}{psb\_loc\_to\_glob} -\begin{lstlisting} +\begin{verbatim} call psb_loc_to_glob(x, y, desc_a, info, iact) call psb_loc_to_glob(x, desc_a, info, iact) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1275,11 +1300,12 @@ An integer value; 0 means no error has been detected. % %% psb_loc_to_glob %% % -\clearpage\subroutine{psb\_is\_owned }{} +\clearpage\subsection*{psb\_is\_owned --- } +\addcontentsline{toc}{subsection}{psb\_is\_owned } -\begin{lstlisting} +\begin{verbatim} call psb_is_owned(x, desc_a) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1314,11 +1340,12 @@ Intent: {\bf out}.\\ \end{enumerate} -\clearpage\subroutine{psb\_owned\_index }{} +\clearpage\subsection*{psb\_owned\_index --- } +\addcontentsline{toc}{subsection}{psb\_owned\_index } -\begin{lstlisting} +\begin{verbatim} call psb_owned_index(y, x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1365,11 +1392,12 @@ An integer value; 0 means no error has been detected. \end{enumerate} -\clearpage\subroutine{psb\_is\_local }{} +\clearpage\subsection*{psb\_is\_local --- } +\addcontentsline{toc}{subsection}{psb\_is\_local } -\begin{lstlisting} +\begin{verbatim} call psb_is_local(x, desc_a) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1403,11 +1431,12 @@ Intent: {\bf out}.\\ indices \end{enumerate} -\clearpage\subroutine{psb\_local\_index }{} +\clearpage\subsection*{psb\_local\_index --- } +\addcontentsline{toc}{subsection}{psb\_local\_index } -\begin{lstlisting} +\begin{verbatim} call psb_local_index(y, x, desc_a, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1458,11 +1487,13 @@ An integer value; 0 means no error has been detected. % %% psb_ins %% % -\clearpage\subroutine{psb\_get\_boundary}{Extract list of boundary elements} +\clearpage\subsection*{psb\_get\_boundary --- Extract list of boundary + elements} +\addcontentsline{toc}{subsection}{psb\_get\_boundary} -\begin{lstlisting} +\begin{verbatim} call psb_get_boundary(bndel, desc, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1499,11 +1530,13 @@ An integer value; 0 means no error has been detected. number of boundary elements. \end{enumerate} -\clearpage\subroutine{psb\_get\_overlap}{Extract list of overlap elements} +\clearpage\subsection*{psb\_get\_overlap --- Extract list of overlap + elements} +\addcontentsline{toc}{subsection}{psb\_get\_overlap} -\begin{lstlisting} +\begin{verbatim} call psb_get_overlap(ovrel, desc, info) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1541,12 +1574,14 @@ An integer value; 0 means no error has been detected. -\clearpage\subroutine{psb\_sp\_getrow}{Extract row(s) from a sparse matrix} +\clearpage\subsection*{psb\_sp\_getrow --- Extract row(s) from a sparse + matrix} +\addcontentsline{toc}{subsection}{psb\_sp\_getrow} -\begin{lstlisting} +\begin{verbatim} call psb_sp_getrow(row, a, nz, ia, ja, val, info, & & append, nzin, lrw) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1633,16 +1668,17 @@ An integer value; 0 means no error has been detected. -\clearpage\subroutine{psb\_sizeof}{Memory occupation} +\clearpage\subsection*{psb\_sizeof --- Memory occupation} +\addcontentsline{toc}{subsection}{psb\_sizeof} This function computes the memory occupation of a PSBLAS object. -\begin{lstlisting} +\begin{verbatim} isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -\end{lstlisting} +\end{verbatim} \begin{description} \item[Type:] Asynchronous. @@ -1671,7 +1707,8 @@ Returned as: an \verb|integer(psb_long_int_k_)| number. \end{description} -\clearpage\subroutine{Sorting utilities}{} +\clearpage\subsection*{Sorting utilities --- } +\addcontentsline{toc}{subsection}{Sorting utilities} {\par\noindent\large\bfseries psb\_msort --- Sorting by the Merge-sort algorithm} @@ -1680,11 +1717,11 @@ Returned as: an \verb|integer(psb_long_int_k_)| number. algorithm} {\par\noindent\large\bfseries psb\_hsort --- Sorting by the Heapsort algorithm} -\begin{lstlisting} +\begin{verbatim} call psb_msort(x,ix,dir,flag) call psb_qsort(x,ix,dir,flag) call psb_hsort(x,ix,dir,flag) -\end{lstlisting} +\end{verbatim} These serial routines sort a sequence $X$ into ascending or descending order. The argument meaning is identical for the three diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex index 5cb5e5bb..10f83d2c 100644 --- a/docs/src/userguide.tex +++ b/docs/src/userguide.tex @@ -49,11 +49,13 @@ \subsubsection*{\flushleft #1---#2 \endflushleft}% \addcontentsline{toc}{subsubsection}{#1}% \markright{#1}}% + \newcommand{\subsubsubroutine}[2]{% \stepcounter{subroutine}% \subsubsection*{\flushleft #1---#2 \endflushleft}% \addcontentsline{toc}{paragraph}{#1}% \markright{#1}}% + \newcommand{\examplename}{Example} \newcommand{\syntaxname}{Syntax} \def\syntax{\@ifstar{\@ssyntax}{\@syntax}}% - Descriptor data structure
-+Table 16: Data types @@ -118,8 +118,8 @@ Data types
Subroutine
-
+
+
+
-
@@ -162,8 +167,8 @@ call psb_gather(glob_x, loc_x, desc_a, info, root)
-
-
-
-
- Next: Next: psb_scatter Scatter - Up: Up: Communication routines - Previous: Previous: psb_ovrl Overlap - Contents diff --git a/docs/html/node57.html b/docs/html/node57.html index 18111c18..c2b75a0b 100644 --- a/docs/html/node57.html +++ b/docs/html/node57.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: Data management routines - Up: Up: Communication routines - Previous: Previous: psb_gather Gather - Contents
@@ -69,7 +69,7 @@ loc\_x_i \leftarrow scatter(glob\_x)
@@ -77,20 +77,20 @@ loc\_x_i \leftarrow scatter(glob\_x) where:
-+Table 17: Data types @@ -116,8 +116,8 @@ Data typesSubroutine
-
+
+
+
-
@@ -182,7 +187,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
-
-
-
- Next: Next: Data management routines - Up: Up: Communication routines - Previous: Previous: psb_gather Gather - Contents diff --git a/docs/html/node58.html b/docs/html/node58.html index 92a43fc7..174be1a0 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_cdall Allocates - Up: Up: userhtml - Previous: Previous: psb_scatter Scatter - Contents
@@ -63,66 +63,71 @@ Data management routines Subsections-
-
diff --git a/docs/html/node59.html b/docs/html/node59.html index 017ba838..7ef8b9c6 100644 --- a/docs/html/node59.html +++ b/docs/html/node59.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_cdins Communication - Up: Up: Data management routines - Previous: Previous: Data management routines - Contents
@@ -94,11 +94,11 @@ Specified as: an integer value. --> is allocated
to process .
Scope:global. @@ -112,7 +112,7 @@ Specified as: an integer array.
Specified as: an integer array of length.
Specified as: a logical array of length, default .true..
Specified as: an integer array of length.
Specified as: an integer array of length.
Specified as: an integer array of length.
@@ -233,26 +234,26 @@ nor the end vertex belong to the current process.
-
-
-
-
- Next: Next: psb_cdasb Communication - Up: Up: Data management routines - Previous: Previous: psb_cdall Allocates - Contents diff --git a/docs/html/node61.html b/docs/html/node61.html index 7ebdeb80..f6e74ff4 100644 --- a/docs/html/node61.html +++ b/docs/html/node61.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: psb_cdcpy Copies - Up: Up: Data management routines - Previous: Previous: psb_cdins Communication - Contents
-psb_cdasb -- Communication descriptor assembly routine +psb_cdasb -- Communication descriptor assembly + routine
diff --git a/docs/html/node62.html b/docs/html/node62.html index 93c390dd..af70bfa2 100644 --- a/docs/html/node62.html +++ b/docs/html/node62.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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diff --git a/docs/html/node63.html b/docs/html/node63.html index 0863b28a..83c1a869 100644 --- a/docs/html/node63.html +++ b/docs/html/node63.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: psb_cdbldext Build - Up: Up: Data management routines - Previous: Previous: psb_cdcpy Copies - Contents
diff --git a/docs/html/node64.html b/docs/html/node64.html index a5043f0a..f9eeb35a 100644 --- a/docs/html/node64.html +++ b/docs/html/node64.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: psb_spall Allocates - Up: Up: Data management routines - Previous: Previous: psb_cdfree Frees - Contents
@@ -103,8 +103,8 @@ Type:required. Intent: in.
Specified as: an integer value
.
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- Next: Next: psb_spall Allocates - Up: Up: Data management routines - Previous: Previous: psb_cdfree Frees - Contents diff --git a/docs/html/node65.html b/docs/html/node65.html index 61153c0c..7e6148e6 100644 --- a/docs/html/node65.html +++ b/docs/html/node65.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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@@ -131,7 +131,7 @@ An integer value; 0 means no error has been detected.
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- Next: Next: psb_spasb Sparse - Up: Up: Data management routines - Previous: Previous: psb_spall Allocates - Contents diff --git a/docs/html/node67.html b/docs/html/node67.html index e11c5dad..46d09a3a 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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@@ -184,26 +184,26 @@ An integer value; 0 means no error has been detected.
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- Next: Next: psb_spfree Frees - Up: Up: Data management routines - Previous: Previous: psb_spins Insert - Contents diff --git a/docs/html/node68.html b/docs/html/node68.html index d6022ef7..27aef4b5 100644 --- a/docs/html/node68.html +++ b/docs/html/node68.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: psb_sprn Reinit - Up: Up: Data management routines - Previous: Previous: psb_spasb Sparse - Contents
diff --git a/docs/html/node69.html b/docs/html/node69.html index 89cf2b65..78666394 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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diff --git a/docs/html/node7.html b/docs/html/node7.html index eb9dcf85..4287880e 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- 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 582cc524..b018cb16 100644 --- a/docs/html/node70.html +++ b/docs/html/node70.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: psb_geins Dense - Up: Up: Data management routines - Previous: Previous: psb_sprn Reinit - Contents
@@ -90,7 +90,7 @@ Intent: in.
Specified as: Integer scalar, default
. It is not a valid argument if in.
Specified as: Integer scalar, default. It is not a valid argument if
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- Next: Next: psb_geins Dense - Up: Up: Data management routines - Previous: Previous: psb_sprn Reinit - Contents diff --git a/docs/html/node71.html b/docs/html/node71.html index f56c499c..0a8a57fb 100644 --- a/docs/html/node71.html +++ b/docs/html/node71.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: psb_geasb Assembly - Up: Up: Data management routines - Previous: Previous: psb_geall Allocates - Contents
@@ -71,7 +71,7 @@ call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
-
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- Next: Next: psb_loc_to_glob Local - Up: Up: Data management routines - Previous: Previous: psb_gelp Applies - Contents
@@ -124,7 +124,7 @@ accepted. Default: false.
Specified as: an integer. When append is true, specifies how many
entries in the output vectors are already filled.
@@ -131,10 +132,10 @@ Intent: in.
Specified as: an integer, default: 
.
@@ -208,13 +209,13 @@ An integer value; 0 means no error has been detected.
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- Next: Next: psb_sizeof Memory - Up: Up: Data management routines - Previous: Previous: psb_get_overlap Extract - Contents diff --git a/docs/html/node84.html b/docs/html/node84.html index 42da80c9..b6a12845 100644 --- a/docs/html/node84.html +++ b/docs/html/node84.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: Sorting utilities - Up: Up: Data management routines - Previous: Previous: psb_sp_getrow Extract - Contents
diff --git a/docs/html/node85.html b/docs/html/node85.html index 2c299a56..a296116e 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Sorting utilities - +Sorting utilities -- + @@ -25,33 +25,33 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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-
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- Next: Next: Parallel environment routines - Up: Up: Data management routines - Previous: Previous: psb_sizeof Memory - Contents
-Sorting utilities +Sorting utilities --
@@ -73,7 +73,7 @@ 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
@@ -99,7 +99,7 @@ Type:optional.
Specified as: an integer array of (at least) the same size as.
psb_lsort_up_.
psb_spasbroutine. -+
@@ -146,49 +144,54 @@ variants are obtained by conversion to/from it. SubsectionsFigure 4: The PSBLAS defined data type that @@ -95,9 +95,7 @@ library at runtime via the psb_spasbroutine.type :: psb_Tspmat_type - class(psb_T_base_sparse_mat), allocatable :: a - end type psb_Tspmat_type-
-
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- Next: Methods - Up: Next: Sparse Matrix Methods + Up: Data Structures and Classes - Previous: Previous: Named Constants - Contents diff --git a/docs/html/node22.html b/docs/html/node22.html index a21913d2..7834cf80 100644 --- a/docs/html/node22.html +++ b/docs/html/node22.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Methods - +Sparse Matrix Methods + @@ -26,34 +26,36 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: Next: get_nrows Get - Up: Up: Sparse Matrix class - Previous: Previous: Sparse Matrix class - Contents
--Methods +
+Sparse Matrix Methods
+ +
diff --git a/docs/html/node23.html b/docs/html/node23.html index b48a09c3..ca33b306 100644 --- a/docs/html/node23.html +++ b/docs/html/node23.html @@ -26,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
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- Next: Next: get_ncols Get - Up: Up: Sparse Matrix class - Previous: Methods - Previous: Sparse Matrix Methods + Contents
-+
get_nrows -- Get number of rows in a sparse matrix
diff --git a/docs/html/node24.html b/docs/html/node24.html index 7bd7f543..8b6907c0 100644 --- a/docs/html/node24.html +++ b/docs/html/node24.html @@ -26,33 +26,34 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
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- Next: Next: get_nnzeros Get - Up: Up: Sparse Matrix class - Previous: Previous: get_nrows Get - Contents
--get_ncols -- Get number of columns in a sparse matrix +
+get_ncols -- Get number of columns in a sparse + matrix
diff --git a/docs/html/node25.html b/docs/html/node25.html index efce6158..a19ff9aa 100644 --- a/docs/html/node25.html +++ b/docs/html/node25.html @@ -26,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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- Next: Next: get_size Get - Up: Up: Sparse Matrix class - Previous: Previous: get_ncols Get - Contents
-+
get_nnzeros -- Get number of nonzero elements in a sparse matrix
diff --git a/docs/html/node26.html b/docs/html/node26.html index 8eaf2979..490c7b98 100644 --- a/docs/html/node26.html +++ b/docs/html/node26.html @@ -26,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: sizeof Get - Up: Up: Sparse Matrix class - Previous: Previous: get_nnzeros Get - Contents
-+
get_size -- Get maximum number of nonzero elements in a sparse matrix
diff --git a/docs/html/node27.html b/docs/html/node27.html index 16601cfc..108d7440 100644 --- a/docs/html/node27.html +++ b/docs/html/node27.html @@ -28,32 +28,32 @@ of a sparse matrix"> -
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-+
sizeof -- Get memory occupation in bytes of a sparse matrix
diff --git a/docs/html/node28.html b/docs/html/node28.html index 3638f11a..3cd1bb7c 100644 --- a/docs/html/node28.html +++ b/docs/html/node28.html @@ -26,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
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- Next: Next: is_bld, is_upd, is_asb - Up: Up: Sparse Matrix class - Previous: Previous: sizeof Get - Contents
-+
get_fmt -- Short description of the dynamic type
diff --git a/docs/html/node29.html b/docs/html/node29.html index 04d447a2..16e12085 100644 --- a/docs/html/node29.html +++ b/docs/html/node29.html @@ -18,6 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds + @@ -25,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: clone Clone current object - Up: Next: clone Clone + Up: Sparse Matrix class - Previous: Previous: get_fmt Short - Contents
-+
is_bld, is_upd, is_asb -- Status check
diff --git a/docs/html/node3.html b/docs/html/node3.html index 1b2b05bc..b318b35d 100644 --- a/docs/html/node3.html +++ b/docs/html/node3.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: Basic Nomenclature - Up: Up: userhtml - Previous: Previous: Introduction - Contents
@@ -78,14 +78,14 @@ 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="node113.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.-
+Figure 1: PSBLAS library components hierarchy. @@ -134,7 +134,7 @@ 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="node113.html#METIS">14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. @@ -145,7 +145,7 @@ process generates its own portion. We never require that the entire matrix be available on a single node. However, it is possible to hold the entire matrix in one process and distribute it explicitly1, even though the resulting memory + HREF="footnode.html#foot201">1, even though the resulting memory bottleneck would make this option unattractive in most cases.@@ -154,43 +154,43 @@ bottleneck would make this option unattractive in most cases. Subsections
-
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- Next: Next: Basic Nomenclature - Up: Up: userhtml - Previous: Previous: Introduction - Contents diff --git a/docs/html/node30.html b/docs/html/node30.html index ff5bf94e..4db38e56 100644 --- a/docs/html/node30.html +++ b/docs/html/node30.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -clone--Clone current object - +clone -- Clone current object + @@ -18,44 +18,44 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + -
-
+
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- Next: Next: Named Constants - Up: Data Structures and Classes - Previous: Up: Sparse Matrix class + Previous: is_bld, is_upd, is_asb - Contents
--
+-clone--Clone current object --+clone -- Clone current object +
+ +call a%clone(b,info)
@@ -90,15 +90,6 @@ Scope: local.
- -Subsections - - - -
diff --git a/docs/html/node31.html b/docs/html/node31.html index a53621fc..c979dc2b 100644 --- a/docs/html/node31.html +++ b/docs/html/node31.html @@ -19,38 +19,38 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + -
-
+
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- Next: Next: Dense Vector Data Structure - Up: clone Clone current object - Previous: clone Clone current object - Up: Sparse Matrix class + Previous: clone Clone + Contents
-+
Named Constants diff --git a/docs/html/node32.html b/docs/html/node32.html index 9adbeb67..aa292f54 100644 --- a/docs/html/node32.html +++ b/docs/html/node32.html @@ -18,40 +18,40 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + -
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- Next: Methods - Up: Next: Vector Methods + Up: Data Structures and Classes - Previous: Previous: Named Constants - Contents
-+
Dense Vector Data Structure @@ -93,7 +93,7 @@ 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 @@ -122,39 +122,41 @@ private memory. Subsections -
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- Next: Methods - Up: Next: Vector Methods + Up: Data Structures and Classes - Previous: Previous: Named Constants - Contents diff --git a/docs/html/node33.html b/docs/html/node33.html index 0713375b..ec2bda23 100644 --- a/docs/html/node33.html +++ b/docs/html/node33.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Methods - +Vector Methods + @@ -26,33 +26,33 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
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- Next: Next: get_nrows Get - Up: Up: Dense Vector Data Structure - Previous: Previous: Dense Vector Data Structure - Contents
--Methods +
+Vector Methods
diff --git a/docs/html/node34.html b/docs/html/node34.html index feef1c10..af50dd58 100644 --- a/docs/html/node34.html +++ b/docs/html/node34.html @@ -26,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
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- Next: Next: sizeof Get - Up: Up: Dense Vector Data Structure - Previous: Methods - Previous: Vector Methods + Contents
-+
get_nrows -- Get number of rows in a dense vector
diff --git a/docs/html/node35.html b/docs/html/node35.html index 8af450fb..5694ade0 100644 --- a/docs/html/node35.html +++ b/docs/html/node35.html @@ -28,32 +28,32 @@ of a dense vector"> -
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- Next: Next: get_vect Get - Up: Up: Dense Vector Data Structure - Previous: Previous: get_nrows Get - Contents
-+
sizeof -- Get memory occupation in bytes of a dense vector
diff --git a/docs/html/node36.html b/docs/html/node36.html index 9aed4893..af44733c 100644 --- a/docs/html/node36.html +++ b/docs/html/node36.html @@ -18,6 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds + @@ -25,32 +26,32 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
-
-
-
- Next: clone Clone current object - Up: Next: clone Clone + Up: Dense Vector Data Structure - Previous: Previous: sizeof Get - Contents
-+
get_vect -- Get a copy of the vector contents
diff --git a/docs/html/node37.html b/docs/html/node37.html index 10f0b1ef..a280273f 100644 --- a/docs/html/node37.html +++ b/docs/html/node37.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -clone--Clone current object - +clone -- Clone current object + @@ -18,44 +18,42 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + -
-
+
-
-
- Next: Next: Preconditioner data structure - Up: Data Structures and Classes - Previous: Up: Dense Vector Data Structure + Previous: get_vect Get - Contents
--
+-clone--Clone current object --+clone -- Clone current object +
+call x%clone(y,info)
diff --git a/docs/html/node38.html b/docs/html/node38.html index d08f370c..65c9357f 100644 --- a/docs/html/node38.html +++ b/docs/html/node38.html @@ -18,39 +18,39 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + -
-
-
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- Next: Next: Computational routines - Up: Up: Data Structures and Classes - Previous: clone Clone current object - Previous: clone Clone + Contents
-+
Preconditioner data structure @@ -66,7 +66,7 @@ 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/node39.html b/docs/html/node39.html index 66be5091..ef90f312 100644 --- a/docs/html/node39.html +++ b/docs/html/node39.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds -
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- Next: Next: psb_geaxpby General - Up: Up: userhtml - Previous: Previous: Preconditioner data structure - Contents
@@ -61,31 +61,32 @@ Computational routines Subsections-
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- Next: Next: Library contents - Up: Up: General overview - Previous: Previous: General overview - Contents
@@ -112,7 +112,7 @@ on it. Whenever performing a computational step, such as a matrix-vector product, the values associated with halo points are requested from other domains. A boundary point of a given domain is usually a halo point for some other domain2; therefore + HREF="footnode.html#foot210">2; therefore the cardinality of the boundary points set denotes the amount of data sent to other domains. @@ -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="node113.html#2007c">4,3].We denote the sets of internal, boundary and halo points for a given @@ -166,7 +166,7 @@ local rows) is -
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@@ -81,7 +81,7 @@ call psb_geaxpby(alpha, x, beta, y, desc_a, info)
-+Table 1: Data types @@ -92,13 +92,13 @@ Data types WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">,, ,
Subroutine @@ -132,7 +132,7 @@ Data types