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SUBROUTINE DCKGQR( 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 (version 3.1) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * November 2006 * * .. Scalar Arguments .. INTEGER INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP DOUBLE PRECISION THRESH * .. * .. Array Arguments .. INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * ) DOUBLE PRECISION A( * ), AF( * ), AQ( * ), AR( * ), B( * ), $ BF( * ), BT( * ), BWK( * ), BZ( * ), $ RWORK( * ), TAUA( * ), TAUB( * ), WORK( * ) * .. * * Purpose * ======= * * DCKGQR tests * DGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B, * DGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B. * * Arguments * ========= * * NM (input) INTEGER * The number of values of M contained in the vector MVAL. * * MVAL (input) INTEGER array, dimension (NM) * The values of the matrix row(column) dimension M. * * NP (input) INTEGER * The number of values of P contained in the vector PVAL. * * PVAL (input) INTEGER array, dimension (NP) * The values of the matrix row(column) dimension P. * * NN (input) INTEGER * The number of values of N contained in the vector NVAL. * * NVAL (input) INTEGER array, dimension (NN) * The values of the matrix column(row) dimension N. * * NMATS (input) 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. * * ISEED (input/output) 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. * * THRESH (input) DOUBLE PRECISION * 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. * * NMAX (input) INTEGER * The maximum value permitted for M or N, used in dimensioning * the work arrays. * * A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * AF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * AQ (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * AR (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * TAUA (workspace) DOUBLE PRECISION array, dimension (NMAX) * * B (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * BF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * BZ (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * BT (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * BWK (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * TAUB (workspace) DOUBLE PRECISION array, dimension (NMAX) * * WORK (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) * * RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX) * * NIN (input) INTEGER * The unit number for input. * * NOUT (input) INTEGER * The unit number for output. * * INFO (output) INTEGER * = 0 : successful exit * > 0 : If DLATMS returns an error code, the absolute value * of it is returned. * * ===================================================================== * * .. 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 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB * .. * .. Local Arrays .. LOGICAL DOTYPE( NTYPES ) DOUBLE PRECISION RESULT( NTESTS ) * .. * .. External Subroutines .. EXTERNAL ALAHDG, ALAREQ, ALASUM, DGQRTS, DGRQTS, DLATB9, $ DLATMS * .. * .. 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 DGGRQF * * Set up parameters with DLATB9 and generate test * matrices A and B with DLATMS. * CALL DLATB9( '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 DLATMS( 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 DLATMS( 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 DGRQTS( 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 DGGQRF * * Set up parameters with DLATB9 and generate test * matrices A and B with DLATMS. * CALL DLATB9( '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 DLATMS( 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 DLATMS( 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 DGQRTS( 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( ' DLATMS in DCKGQR: 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 DCKGQR * END |