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SUBROUTINE DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
$ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, $ DISTA, DISTB ) * * -- LAPACK test routine (version 3.1) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * November 2006 * * .. Scalar Arguments .. CHARACTER DISTA, DISTB, TYPE CHARACTER*3 PATH INTEGER IMAT, KLA, KLB, KUA, KUB, M, MODEA, MODEB, N, P DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB * .. * * Purpose * ======= * * DLATB9 sets parameters for the matrix generator based on the type of * matrix to be generated. * * Arguments * ========= * * PATH (input) CHARACTER*3 * The LAPACK path name. * * IMAT (input) INTEGER * An integer key describing which matrix to generate for this * path. * * M (input) INTEGER * The number of rows in the matrix to be generated. * * N (input) INTEGER * The number of columns in the matrix to be generated. * * TYPE (output) CHARACTER*1 * The type of the matrix to be generated: * = 'S': symmetric matrix; * = 'P': symmetric positive (semi)definite matrix; * = 'N': nonsymmetric matrix. * * KL (output) INTEGER * The lower band width of the matrix to be generated. * * KU (output) INTEGER * The upper band width of the matrix to be generated. * * ANORM (output) DOUBLE PRECISION * The desired norm of the matrix to be generated. The diagonal * matrix of singular values or eigenvalues is scaled by this * value. * * MODE (output) INTEGER * A key indicating how to choose the vector of eigenvalues. * * CNDNUM (output) DOUBLE PRECISION * The desired condition number. * * DIST (output) CHARACTER*1 * The type of distribution to be used by the random number * generator. * * ===================================================================== * * .. Parameters .. DOUBLE PRECISION SHRINK, TENTH PARAMETER ( SHRINK = 0.25D0, TENTH = 0.1D+0 ) DOUBLE PRECISION ONE, TEN PARAMETER ( ONE = 1.0D+0, TEN = 1.0D+1 ) * .. * .. Local Scalars .. LOGICAL FIRST DOUBLE PRECISION BADC1, BADC2, EPS, LARGE, SMALL * .. * .. External Functions .. LOGICAL LSAMEN DOUBLE PRECISION DLAMCH EXTERNAL LSAMEN, DLAMCH * .. * .. Intrinsic Functions .. INTRINSIC MAX, SQRT * .. * .. External Subroutines .. EXTERNAL DLABAD * .. * .. Save statement .. SAVE EPS, SMALL, LARGE, BADC1, BADC2, FIRST * .. * .. Data statements .. DATA FIRST / .TRUE. / * .. * .. Executable Statements .. * * Set some constants for use in the subroutine. * IF( FIRST ) THEN FIRST = .FALSE. EPS = DLAMCH( 'Precision' ) BADC2 = TENTH / EPS BADC1 = SQRT( BADC2 ) SMALL = DLAMCH( 'Safe minimum' ) LARGE = ONE / SMALL * * If it looks like we're on a Cray, take the square root of * SMALL and LARGE to avoid overflow and underflow problems. * CALL DLABAD( SMALL, LARGE ) SMALL = SHRINK*( SMALL / EPS ) LARGE = ONE / SMALL END IF * * Set some parameters we don't plan to change. * TYPE = 'N' DISTA = 'S' DISTB = 'S' MODEA = 3 MODEB = 4 * * Set the lower and upper bandwidths. * IF( LSAMEN( 3, PATH, 'GRQ' ) .OR. LSAMEN( 3, PATH, 'LSE' ) .OR. $ LSAMEN( 3, PATH, 'GSV' ) ) THEN * * A: M by N, B: P by N * IF( IMAT.EQ.1 ) THEN * * A: diagonal, B: upper triangular * KLA = 0 KUA = 0 KLB = 0 KUB = MAX( N-1, 0 ) * ELSE IF( IMAT.EQ.2 ) THEN * * A: upper triangular, B: upper triangular * KLA = 0 KUA = MAX( N-1, 0 ) KLB = 0 KUB = MAX( N-1, 0 ) * ELSE IF( IMAT.EQ.3 ) THEN * * A: lower triangular, B: upper triangular * KLA = MAX( M-1, 0 ) KUA = 0 KLB = 0 KUB = MAX( N-1, 0 ) * ELSE * * A: general dense, B: general dense * KLA = MAX( M-1, 0 ) KUA = MAX( N-1, 0 ) KLB = MAX( P-1, 0 ) KUB = MAX( N-1, 0 ) * END IF * ELSE IF( LSAMEN( 3, PATH, 'GQR' ) .OR. LSAMEN( 3, PATH, 'GLM' ) ) $ THEN * * A: N by M, B: N by P * IF( IMAT.EQ.1 ) THEN * * A: diagonal, B: lower triangular * KLA = 0 KUA = 0 KLB = MAX( N-1, 0 ) KUB = 0 ELSE IF( IMAT.EQ.2 ) THEN * * A: lower triangular, B: diagonal * KLA = MAX( N-1, 0 ) KUA = 0 KLB = 0 KUB = 0 * ELSE IF( IMAT.EQ.3 ) THEN * * A: lower triangular, B: upper triangular * KLA = MAX( N-1, 0 ) KUA = 0 KLB = 0 KUB = MAX( P-1, 0 ) * ELSE * * A: general dense, B: general dense * KLA = MAX( N-1, 0 ) KUA = MAX( M-1, 0 ) KLB = MAX( N-1, 0 ) KUB = MAX( P-1, 0 ) END IF * END IF * * Set the condition number and norm. * CNDNMA = TEN*TEN CNDNMB = TEN IF( LSAMEN( 3, PATH, 'GQR' ) .OR. LSAMEN( 3, PATH, 'GRQ' ) .OR. $ LSAMEN( 3, PATH, 'GSV' ) ) THEN IF( IMAT.EQ.5 ) THEN CNDNMA = BADC1 CNDNMB = BADC1 ELSE IF( IMAT.EQ.6 ) THEN CNDNMA = BADC2 CNDNMB = BADC2 ELSE IF( IMAT.EQ.7 ) THEN CNDNMA = BADC1 CNDNMB = BADC2 ELSE IF( IMAT.EQ.8 ) THEN CNDNMA = BADC2 CNDNMB = BADC1 END IF END IF * ANORM = TEN BNORM = TEN*TEN*TEN IF( LSAMEN( 3, PATH, 'GQR' ) .OR. LSAMEN( 3, PATH, 'GRQ' ) ) THEN IF( IMAT.EQ.7 ) THEN ANORM = SMALL BNORM = LARGE ELSE IF( IMAT.EQ.8 ) THEN ANORM = LARGE BNORM = SMALL END IF END IF * IF( N.LE.1 ) THEN CNDNMA = ONE CNDNMB = ONE END IF * RETURN * * End of DLATB9 * END |