*> \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. * *> \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 -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * * .. 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