 LAPACK  3.4.2 LAPACK: Linear Algebra PACKage
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## Functions/Subroutines

subroutine alahdg (IOUNIT, PATH)
ALAHDG
subroutine alareq (PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
subroutine alarqg (PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALARQG
subroutine alasmg (TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASMG
subroutine alasum (TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
subroutine alasvm (TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
INTEGER function ilaenv (ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine xerbla (SRNAME, INFO)
XERBLA
subroutine xlaenv (ISPEC, NVALUE)
XLAENV

## Detailed Description

This is the group of auxiliary LAPACK TESTING EIG routines.

## Function/Subroutine Documentation

 subroutine alahdg ( integer IOUNIT, character*3 PATH )

ALAHDG

Purpose:
` ALAHDG prints header information for the different test paths.`
Parameters:
 [in] IOUNIT ``` IOUNIT is INTEGER The unit number to which the header information should be printed.``` [in] PATH ``` PATH is CHARACTER*3 The name of the path for which the header information is to be printed. Current paths are GQR: GQR (general matrices) GRQ: GRQ (general matrices) LSE: LSE Problem GLM: GLM Problem GSV: Generalized Singular Value Decomposition CSD: CS Decomposition```
Date:
November 2011

Definition at line 63 of file alahdg.f.

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 subroutine alareq ( character*3 PATH, integer NMATS, logical, dimension( * ) DOTYPE, integer NTYPES, integer NIN, integer NOUT )

ALAREQ

Purpose:
``` ALAREQ handles input for the LAPACK test program.  It is called
to evaluate the input line which requested NMATS matrix types for
PATH.  The flow of control is as follows:

If NMATS = NTYPES then
DOTYPE(1:NTYPES) = .TRUE.
else
Read the next input line for NMATS matrix types
Set DOTYPE(I) = .TRUE. for each valid type I
endif```
Parameters:
 [in] PATH ``` PATH is CHARACTER*3 An LAPACK path name for testing.``` [in] NMATS ``` NMATS is INTEGER The number of matrix types to be used in testing this path.``` [out] DOTYPE ``` DOTYPE is LOGICAL array, dimension (NTYPES) The vector of flags indicating if each type will be tested.``` [in] NTYPES ``` NTYPES is INTEGER The maximum number of matrix types for this path.``` [in] NIN ``` NIN is INTEGER The unit number for input. NIN >= 1.``` [in] NOUT ``` NOUT is INTEGER The unit number for output. NOUT >= 1.```
Date:
November 2011

Definition at line 91 of file alareq.f.

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 subroutine alarqg ( character*3 PATH, integer NMATS, logical, dimension( * ) DOTYPE, integer NTYPES, integer NIN, integer NOUT )

ALARQG

Purpose:
``` ALARQG handles input for the LAPACK test program.  It is called
to evaluate the input line which requested NMATS matrix types for
PATH.  The flow of control is as follows:

If NMATS = NTYPES then
DOTYPE(1:NTYPES) = .TRUE.
else
Read the next input line for NMATS matrix types
Set DOTYPE(I) = .TRUE. for each valid type I
endif```
Parameters:
 [in] PATH ``` PATH is CHARACTER*3 An LAPACK path name for testing.``` [in] NMATS ``` NMATS is INTEGER The number of matrix types to be used in testing this path.``` [out] DOTYPE ``` DOTYPE is LOGICAL array, dimension (NTYPES) The vector of flags indicating if each type will be tested.``` [in] NTYPES ``` NTYPES is INTEGER The maximum number of matrix types for this path.``` [in] NIN ``` NIN is INTEGER The unit number for input. NIN >= 1.``` [in] NOUT ``` NOUT is INTEGER The unit number for output. NOUT >= 1.```
Date:
November 2011

Definition at line 91 of file alarqg.f.

 subroutine alasmg ( character*3 TYPE, integer NOUT, integer NFAIL, integer NRUN, integer NERRS )

ALASMG

Purpose:
` ALASMG prints a summary of results from one of the -CHK- routines.`
Parameters:
 [in] TYPE ``` TYPE is CHARACTER*3 The LAPACK path name.``` [in] NOUT ``` NOUT is INTEGER The unit number on which results are to be printed. NOUT >= 0.``` [in] NFAIL ``` NFAIL is INTEGER The number of tests which did not pass the threshold ratio.``` [in] NRUN ``` NRUN is INTEGER The total number of tests.``` [in] NERRS ``` NERRS is INTEGER The number of error messages recorded.```
Date:
November 2011

Definition at line 74 of file alasmg.f.

 subroutine alasum ( character*3 TYPE, integer NOUT, integer NFAIL, integer NRUN, integer NERRS )

ALASUM

Purpose:
` ALASUM prints a summary of results from one of the -CHK- routines.`
Parameters:
 [in] TYPE ``` TYPE is CHARACTER*3 The LAPACK path name.``` [in] NOUT ``` NOUT is INTEGER The unit number on which results are to be printed. NOUT >= 0.``` [in] NFAIL ``` NFAIL is INTEGER The number of tests which did not pass the threshold ratio.``` [in] NRUN ``` NRUN is INTEGER The total number of tests.``` [in] NERRS ``` NERRS is INTEGER The number of error messages recorded.```
Date:
November 2011

Definition at line 74 of file alasum.f.

 subroutine alasvm ( character*3 TYPE, integer NOUT, integer NFAIL, integer NRUN, integer NERRS )

ALASVM

Purpose:
` ALASVM prints a summary of results from one of the -DRV- routines.`
Parameters:
 [in] TYPE ``` TYPE is CHARACTER*3 The LAPACK path name.``` [in] NOUT ``` NOUT is INTEGER The unit number on which results are to be printed. NOUT >= 0.``` [in] NFAIL ``` NFAIL is INTEGER The number of tests which did not pass the threshold ratio.``` [in] NRUN ``` NRUN is INTEGER The total number of tests.``` [in] NERRS ``` NERRS is INTEGER The number of error messages recorded.```
Date:
November 2011

Definition at line 74 of file alasvm.f.

 INTEGER function ilaenv ( integer ISPEC, character*( * ) NAME, character*( * ) OPTS, integer N1, integer N2, integer N3, integer N4 )

ILAENV

Purpose:
``` ILAENV returns problem-dependent parameters for the local
environment.  See ISPEC for a description of the parameters.

In this version, the problem-dependent parameters are contained in
the integer array IPARMS in the common block CLAENV and the value
with index ISPEC is copied to ILAENV.  This version of ILAENV is
to be used in conjunction with XLAENV in TESTING and TIMING.```
Parameters:
 [in] ISPEC ``` ISPEC is INTEGER Specifies the parameter to be returned as the value of ILAENV. = 1: the optimal blocksize; if this value is 1, an unblocked algorithm will give the best performance. = 2: the minimum block size for which the block routine should be used; if the usable block size is less than this value, an unblocked routine should be used. = 3: the crossover point (in a block routine, for N less than this value, an unblocked routine should be used) = 4: the number of shifts, used in the nonsymmetric eigenvalue routines = 5: the minimum column dimension for blocking to be used; rectangular blocks must have dimension at least k by m, where k is given by ILAENV(2,...) and m by ILAENV(5,...) = 6: the crossover point for the SVD (when reducing an m by n matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds this value, a QR factorization is used first to reduce the matrix to a triangular form.) = 7: the number of processors = 8: the crossover point for the multishift QR and QZ methods for nonsymmetric eigenvalue problems. = 9: maximum size of the subproblems at the bottom of the computation tree in the divide-and-conquer algorithm =10: ieee NaN arithmetic can be trusted not to trap =11: infinity arithmetic can be trusted not to trap 12 <= ISPEC <= 16: xHSEQR or one of its subroutines, see IPARMQ for detailed explanation Other specifications (up to 100) can be added later.``` [in] NAME ``` NAME is CHARACTER*(*) The name of the calling subroutine.``` [in] OPTS ``` OPTS is CHARACTER*(*) The character options to the subroutine NAME, concatenated into a single character string. For example, UPLO = 'U', TRANS = 'T', and DIAG = 'N' for a triangular routine would be specified as OPTS = 'UTN'.``` [in] N1 ` N1 is INTEGER` [in] N2 ` N2 is INTEGER` [in] N3 ` N3 is INTEGER` [in] N4 ``` N4 is INTEGER Problem dimensions for the subroutine NAME; these may not all be required.```
Returns:
ILAENV
```          ILAENV is INTEGER
>= 0: the value of the parameter specified by ISPEC
< 0:  if ILAENV = -k, the k-th argument had an illegal value.```
Date:
November 2011
Further Details:
```  The following conventions have been used when calling ILAENV from the
LAPACK routines:
1)  OPTS is a concatenation of all of the character options to
subroutine NAME, in the same order that they appear in the
argument list for NAME, even if they are not used in determining
the value of the parameter specified by ISPEC.
2)  The problem dimensions N1, N2, N3, N4 are specified in the order
that they appear in the argument list for NAME.  N1 is used
first, N2 second, and so on, and unused problem dimensions are
passed a value of -1.
3)  The parameter value returned by ILAENV is checked for validity in
the calling subroutine.  For example, ILAENV is used to retrieve
the optimal blocksize for STRTRI as follows:

NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 )
IF( NB.LE.1 ) NB = MAX( 1, N )```

Definition at line 153 of file ilaenv.f.

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 subroutine xerbla ( character*(*) SRNAME, integer INFO )

XERBLA

Purpose:
``` This is a special version of XERBLA to be used only as part of
the test program for testing error exits from the LAPACK routines.
Error messages are printed if INFO.NE.INFOT or if SRNAME.NE.SRNAMT,
where INFOT and SRNAMT are values stored in COMMON.```
Parameters:
 [in] SRNAME ``` SRNAME is CHARACTER*(*) The name of the subroutine calling XERBLA. This name should match the COMMON variable SRNAMT.``` [in] INFO ``` INFO is INTEGER The error return code from the calling subroutine. INFO should equal the COMMON variable INFOT.```
Date:
November 2011
Further Details:
```  The following variables are passed via the common blocks INFOC and
SRNAMC:

INFOT   INTEGER      Expected integer return code
NOUT    INTEGER      Unit number for printing error messages
OK      LOGICAL      Set to .TRUE. if INFO = INFOT and
SRNAME = SRNAMT, otherwise set to .FALSE.
LERR    LOGICAL      Set to .TRUE., indicating that XERBLA was called
SRNAMT  CHARACTER*(*) Expected name of calling subroutine```

Definition at line 76 of file xerbla.f.

 subroutine xlaenv ( integer ISPEC, integer NVALUE )

XLAENV

Purpose:
``` XLAENV sets certain machine- and problem-dependent quantities
which will later be retrieved by ILAENV.```
Parameters:
 [in] ISPEC ``` ISPEC is INTEGER Specifies the parameter to be set in the COMMON array IPARMS. = 1: the optimal blocksize; if this value is 1, an unblocked algorithm will give the best performance. = 2: the minimum block size for which the block routine should be used; if the usable block size is less than this value, an unblocked routine should be used. = 3: the crossover point (in a block routine, for N less than this value, an unblocked routine should be used) = 4: the number of shifts, used in the nonsymmetric eigenvalue routines = 5: the minimum column dimension for blocking to be used; rectangular blocks must have dimension at least k by m, where k is given by ILAENV(2,...) and m by ILAENV(5,...) = 6: the crossover point for the SVD (when reducing an m by n matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds this value, a QR factorization is used first to reduce the matrix to a triangular form) = 7: the number of processors = 8: another crossover point, for the multishift QR and QZ methods for nonsymmetric eigenvalue problems. = 9: maximum size of the subproblems at the bottom of the computation tree in the divide-and-conquer algorithm (used by xGELSD and xGESDD) =10: ieee NaN arithmetic can be trusted not to trap =11: infinity arithmetic can be trusted not to trap 12 <= ISPEC <= 16: xHSEQR or one of its subroutines, see IPARMQ for detailed explanation``` [in] NVALUE ``` NVALUE is INTEGER The value of the parameter specified by ISPEC.```
Date:
November 2011

Definition at line 82 of file xlaenv.f.