*> \brief \b SCKGQR * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE SCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED, * THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ, * BT, BWK, TAUB, WORK, RWORK, NIN, NOUT, INFO ) * * .. Scalar Arguments .. * INTEGER INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP * REAL THRESH * .. * .. Array Arguments .. * INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * ) * REAL A( * ), AF( * ), AQ( * ), AR( * ), B( * ), * $ BF( * ), BT( * ), BWK( * ), BZ( * ), * $ RWORK( * ), TAUA( * ), TAUB( * ), WORK( * ) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> SCKGQR tests *> SGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B, *> SGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B. *> \endverbatim * * Arguments: * ========== * *> \param[in] NM *> \verbatim *> NM is INTEGER *> The number of values of M contained in the vector MVAL. *> \endverbatim *> *> \param[in] MVAL *> \verbatim *> MVAL is INTEGER array, dimension (NM) *> The values of the matrix row(column) dimension M. *> \endverbatim *> *> \param[in] NP *> \verbatim *> NP is INTEGER *> The number of values of P contained in the vector PVAL. *> \endverbatim *> *> \param[in] PVAL *> \verbatim *> PVAL is INTEGER array, dimension (NP) *> The values of the matrix row(column) dimension P. *> \endverbatim *> *> \param[in] NN *> \verbatim *> NN is INTEGER *> The number of values of N contained in the vector NVAL. *> \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] AQ *> \verbatim *> AQ is REAL array, dimension (NMAX*NMAX) *> \endverbatim *> *> \param[out] AR *> \verbatim *> AR is REAL array, dimension (NMAX*NMAX) *> \endverbatim *> *> \param[out] TAUA *> \verbatim *> TAUA is REAL array, dimension (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] BZ *> \verbatim *> BZ is REAL array, dimension (NMAX*NMAX) *> \endverbatim *> *> \param[out] BT *> \verbatim *> BT is REAL array, dimension (NMAX*NMAX) *> \endverbatim *> *> \param[out] BWK *> \verbatim *> BWK is REAL array, dimension (NMAX*NMAX) *> \endverbatim *> *> \param[out] TAUB *> \verbatim *> TAUB is REAL array, dimension (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 SCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED, $ THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ, $ BT, BWK, TAUB, 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, NM, NMATS, NMAX, NN, NOUT, NP REAL THRESH * .. * .. Array Arguments .. INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * ) REAL A( * ), AF( * ), AQ( * ), AR( * ), B( * ), $ BF( * ), BT( * ), BWK( * ), BZ( * ), $ RWORK( * ), TAUA( * ), TAUB( * ), WORK( * ) * .. * * ===================================================================== * * .. 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, IM, IMAT, IN, IP, 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, SGQRTS, SGRQTS, SLATB9, $ SLATMS * .. * .. Intrinsic Functions .. INTRINSIC ABS * .. * .. Executable Statements .. * * Initialize constants. * PATH( 1: 3 ) = 'GQR' INFO = 0 NRUN = 0 NFAIL = 0 FIRSTT = .TRUE. CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT ) LDA = NMAX LDB = NMAX LWORK = NMAX*NMAX * * Do for each value of M in MVAL. * DO 60 IM = 1, NM M = MVAL( IM ) * * Do for each value of P in PVAL. * DO 50 IP = 1, NP P = PVAL( IP ) * * Do for each value of N in NVAL. * DO 40 IN = 1, NN N = NVAL( IN ) * DO 30 IMAT = 1, NTYPES * * Do the tests only if DOTYPE( IMAT ) is true. * IF( .NOT.DOTYPE( IMAT ) ) $ GO TO 30 * * Test SGGRQF * * Set up parameters with SLATB9 and generate test * matrices A and B with SLATMS. * CALL SLATB9( 'GRQ', IMAT, M, P, N, TYPE, KLA, KUA, $ KLB, KUB, ANORM, BNORM, MODEA, MODEB, $ CNDNMA, CNDNMB, DISTA, DISTB ) * * Generate M by N matrix A * 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 * * Generate P by N matrix B * 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 * NT = 4 * CALL SGRQTS( M, P, N, A, AF, AQ, AR, LDA, TAUA, B, BF, $ BZ, BT, BWK, LDB, TAUB, WORK, LWORK, $ RWORK, RESULT ) * * Print information about the tests that did not * pass the threshold. * DO 10 I = 1, NT IF( RESULT( I ).GE.THRESH ) THEN IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN FIRSTT = .FALSE. CALL ALAHDG( NOUT, 'GRQ' ) END IF WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I, $ RESULT( I ) NFAIL = NFAIL + 1 END IF 10 CONTINUE NRUN = NRUN + NT * * Test SGGQRF * * Set up parameters with SLATB9 and generate test * matrices A and B with SLATMS. * CALL SLATB9( 'GQR', IMAT, M, P, N, TYPE, KLA, KUA, $ KLB, KUB, ANORM, BNORM, MODEA, MODEB, $ CNDNMA, CNDNMB, DISTA, DISTB ) * * Generate N-by-M matrix A * CALL SLATMS( N, M, 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 * * Generate N-by-P matrix B * CALL SLATMS( N, P, DISTB, ISEED, TYPE, RWORK, MODEA, $ CNDNMA, 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 * NT = 4 * CALL SGQRTS( N, M, P, A, AF, AQ, AR, LDA, TAUA, B, BF, $ BZ, BT, BWK, LDB, TAUB, WORK, LWORK, $ RWORK, RESULT ) * * 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 = 9997 )N, M, P, IMAT, I, $ RESULT( I ) NFAIL = NFAIL + 1 END IF 20 CONTINUE NRUN = NRUN + NT * 30 CONTINUE 40 CONTINUE 50 CONTINUE 60 CONTINUE * * Print a summary of the results. * CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 ) * 9999 FORMAT( ' SLATMS in SCKGQR: INFO = ', I5 ) 9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2, $ ', test ', I2, ', ratio=', G13.6 ) 9997 FORMAT( ' N=', I4, ' M=', I4, ', P=', I4, ', type ', I2, $ ', test ', I2, ', ratio=', G13.6 ) RETURN * * End of SCKGQR * END