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 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 Date:
 November 2011
Definition at line 63 of file alahdg.f.
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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 Date:
 November 2011
Definition at line 91 of file alareq.f.
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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 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 problemdependent parameters for the local
environment. See ISPEC for a description of the parameters.
In this version, the problemdependent 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 divideandconquer 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 kth argument had an illegal value.
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 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.
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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 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 problemdependent 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 divideandconquer 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. 
 Author:
 Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.
 Date:
 November 2011
Definition at line 82 of file xlaenv.f.