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OpenBLAS/lapack-netlib/TESTING/EIG/scklse.f

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*> \brief \b SCKLSE
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE SCKLSE( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
* NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
* INFO )
*
* .. Scalar Arguments ..
* INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
* REAL THRESH
* ..
* .. Array Arguments ..
* INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
* REAL A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
* $ WORK( * ), X( * )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> SCKLSE tests SGGLSE - a subroutine for solving linear equality
*> constrained least square problem (LSE).
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] NN
*> \verbatim
*> NN is INTEGER
*> The number of values of (M,P,N) contained in the vectors
*> (MVAL, PVAL, NVAL).
*> \endverbatim
*>
*> \param[in] MVAL
*> \verbatim
*> MVAL is INTEGER array, dimension (NN)
*> The values of the matrix row(column) dimension M.
*> \endverbatim
*>
*> \param[in] PVAL
*> \verbatim
*> PVAL is INTEGER array, dimension (NN)
*> The values of the matrix row(column) dimension P.
*> \endverbatim
*>
*> \param[in] NVAL
*> \verbatim
*> NVAL is INTEGER array, dimension (NN)
*> The values of the matrix column(row) dimension N.
*> \endverbatim
*>
*> \param[in] NMATS
*> \verbatim
*> NMATS is INTEGER
*> The number of matrix types to be tested for each combination
*> of matrix dimensions. If NMATS >= NTYPES (the maximum
*> number of matrix types), then all the different types are
*> generated for testing. If NMATS < NTYPES, another input line
*> is read to get the numbers of the matrix types to be used.
*> \endverbatim
*>
*> \param[in,out] ISEED
*> \verbatim
*> ISEED is INTEGER array, dimension (4)
*> On entry, the seed of the random number generator. The array
*> elements should be between 0 and 4095, otherwise they will be
*> reduced mod 4096, and ISEED(4) must be odd.
*> On exit, the next seed in the random number sequence after
*> all the test matrices have been generated.
*> \endverbatim
*>
*> \param[in] THRESH
*> \verbatim
*> THRESH is REAL
*> The threshold value for the test ratios. A result is
*> included in the output file if RESULT >= THRESH. To have
*> every test ratio printed, use THRESH = 0.
*> \endverbatim
*>
*> \param[in] NMAX
*> \verbatim
*> NMAX is INTEGER
*> The maximum value permitted for M or N, used in dimensioning
*> the work arrays.
*> \endverbatim
*>
*> \param[out] A
*> \verbatim
*> A is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AF
*> \verbatim
*> AF is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] B
*> \verbatim
*> B is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] BF
*> \verbatim
*> BF is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] X
*> \verbatim
*> X is REAL array, dimension (5*NMAX)
*> \endverbatim
*>
*> \param[out] WORK
*> \verbatim
*> WORK is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is REAL array, dimension (NMAX)
*> \endverbatim
*>
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> The unit number for input.
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The unit number for output.
*> \endverbatim
*>
*> \param[out] INFO
*> \verbatim
*> INFO is INTEGER
*> = 0 : successful exit
*> > 0 : If SLATMS returns an error code, the absolute value
*> of it is returned.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup single_eig
*
* =====================================================================
SUBROUTINE SCKLSE( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
$ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
$ INFO )
*
* -- LAPACK test routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
REAL THRESH
* ..
* .. Array Arguments ..
INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
REAL A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
$ WORK( * ), X( * )
* ..
*
* =====================================================================
*
* .. Parameters ..
INTEGER NTESTS
PARAMETER ( NTESTS = 7 )
INTEGER NTYPES
PARAMETER ( NTYPES = 8 )
* ..
* .. Local Scalars ..
LOGICAL FIRSTT
CHARACTER DISTA, DISTB, TYPE
CHARACTER*3 PATH
INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
$ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN,
$ NT, P
REAL ANORM, BNORM, CNDNMA, CNDNMB
* ..
* .. Local Arrays ..
LOGICAL DOTYPE( NTYPES )
REAL RESULT( NTESTS )
* ..
* .. External Subroutines ..
EXTERNAL ALAHDG, ALAREQ, ALASUM, SLARHS, SLATB9, SLATMS,
$ SLSETS
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX
* ..
* .. Executable Statements ..
*
* Initialize constants and the random number seed.
*
PATH( 1: 3 ) = 'LSE'
INFO = 0
NRUN = 0
NFAIL = 0
FIRSTT = .TRUE.
CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT )
LDA = NMAX
LDB = NMAX
LWORK = NMAX*NMAX
*
* Check for valid input values.
*
DO 10 IK = 1, NN
M = MVAL( IK )
P = PVAL( IK )
N = NVAL( IK )
IF( P.GT.N .OR. N.GT.M+P ) THEN
IF( FIRSTT ) THEN
WRITE( NOUT, FMT = * )
FIRSTT = .FALSE.
END IF
WRITE( NOUT, FMT = 9997 )M, P, N
END IF
10 CONTINUE
FIRSTT = .TRUE.
*
* Do for each value of M in MVAL.
*
DO 40 IK = 1, NN
M = MVAL( IK )
P = PVAL( IK )
N = NVAL( IK )
IF( P.GT.N .OR. N.GT.M+P )
$ GO TO 40
*
DO 30 IMAT = 1, NTYPES
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 30
*
* Set up parameters with SLATB9 and generate test
* matrices A and B with SLATMS.
*
CALL SLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
$ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
$ DISTA, DISTB )
*
CALL SLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA, CNDNMA,
$ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
$ IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9999 )IINFO
INFO = ABS( IINFO )
GO TO 30
END IF
*
CALL SLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB, CNDNMB,
$ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
$ IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9999 )IINFO
INFO = ABS( IINFO )
GO TO 30
END IF
*
* Generate the right-hand sides C and D for the LSE.
*
CALL SLARHS( 'SGE', 'New solution', 'Upper', 'N', M, N,
$ MAX( M-1, 0 ), MAX( N-1, 0 ), 1, A, LDA,
$ X( 4*NMAX+1 ), MAX( N, 1 ), X, MAX( M, 1 ),
$ ISEED, IINFO )
*
CALL SLARHS( 'SGE', 'Computed', 'Upper', 'N', P, N,
$ MAX( P-1, 0 ), MAX( N-1, 0 ), 1, B, LDB,
$ X( 4*NMAX+1 ), MAX( N, 1 ), X( 2*NMAX+1 ),
$ MAX( P, 1 ), ISEED, IINFO )
*
NT = 2
*
CALL SLSETS( M, P, N, A, AF, LDA, B, BF, LDB, X,
$ X( NMAX+1 ), X( 2*NMAX+1 ), X( 3*NMAX+1 ),
$ X( 4*NMAX+1 ), WORK, LWORK, RWORK,
$ RESULT( 1 ) )
*
* Print information about the tests that did not
* pass the threshold.
*
DO 20 I = 1, NT
IF( RESULT( I ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
FIRSTT = .FALSE.
CALL ALAHDG( NOUT, PATH )
END IF
WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I,
$ RESULT( I )
NFAIL = NFAIL + 1
END IF
20 CONTINUE
NRUN = NRUN + NT
*
30 CONTINUE
40 CONTINUE
*
* Print a summary of the results.
*
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 )
*
9999 FORMAT( ' SLATMS in SCKLSE INFO = ', I5 )
9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2,
$ ', test ', I2, ', ratio=', G13.6 )
9997 FORMAT( ' *** Invalid input for LSE: M = ', I6, ', P = ', I6,
$ ', N = ', I6, ';', / ' must satisfy P <= N <= P+M ',
$ '(this set of values will be skipped)' )
RETURN
*
* End of SCKLSE
*
END
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