You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
362 lines
8.9 KiB
362 lines
8.9 KiB
2 years ago
|
*> \brief \b DLATB9
|
||
|
|
*
|
||
|
|
* =========== DOCUMENTATION ===========
|
||
|
|
*
|
||
|
|
* Online html documentation available at
|
||
|
|
* http://www.netlib.org/lapack/explore-html/
|
||
|
|
*
|
||
|
|
* Definition:
|
||
|
|
* ===========
|
||
|
|
*
|
||
|
|
* SUBROUTINE DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
|
||
|
|
* ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
|
||
|
|
* DISTA, DISTB )
|
||
|
|
*
|
||
|
|
* .. 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
|
||
|
|
* ..
|
||
|
|
*
|
||
|
|
*
|
||
|
|
*> \par Purpose:
|
||
|
|
* =============
|
||
|
|
*>
|
||
|
|
*> \verbatim
|
||
|
|
*>
|
||
|
|
*> DLATB9 sets parameters for the matrix generator based on the type of
|
||
|
|
*> matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*
|
||
|
|
* Arguments:
|
||
|
|
* ==========
|
||
|
|
*
|
||
|
|
*> \param[in] PATH
|
||
|
|
*> \verbatim
|
||
|
|
*> PATH is CHARACTER*3
|
||
|
|
*> The LAPACK path name.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[in] IMAT
|
||
|
|
*> \verbatim
|
||
|
|
*> IMAT is INTEGER
|
||
|
|
*> An integer key describing which matrix to generate for this
|
||
|
|
*> path.
|
||
|
|
*> = 1: A: diagonal, B: upper triangular
|
||
|
|
*> = 2: A: upper triangular, B: upper triangular
|
||
|
|
*> = 3: A: lower triangular, B: upper triangular
|
||
|
|
*> Else: A: general dense, B: general dense
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[in] M
|
||
|
|
*> \verbatim
|
||
|
|
*> M is INTEGER
|
||
|
|
*> The number of rows in the matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[in] P
|
||
|
|
*> \verbatim
|
||
|
|
*> P is INTEGER
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[in] N
|
||
|
|
*> \verbatim
|
||
|
|
*> N is INTEGER
|
||
|
|
*> The number of columns in the matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] TYPE
|
||
|
|
*> \verbatim
|
||
|
|
*> TYPE is CHARACTER*1
|
||
|
|
*> The type of the matrix to be generated:
|
||
|
|
*> = 'S': symmetric matrix;
|
||
|
|
*> = 'P': symmetric positive (semi)definite matrix;
|
||
|
|
*> = 'N': nonsymmetric matrix.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] KLA
|
||
|
|
*> \verbatim
|
||
|
|
*> KLA is INTEGER
|
||
|
|
*> The lower band width of the matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] KUA
|
||
|
|
*> \verbatim
|
||
|
|
*> KUA is INTEGER
|
||
|
|
*> The upper band width of the matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] KLB
|
||
|
|
*> \verbatim
|
||
|
|
*> KLB is INTEGER
|
||
|
|
*> The lower band width of the matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] KUB
|
||
|
|
*> \verbatim
|
||
|
|
*> KUA is INTEGER
|
||
|
|
*> The upper band width of the matrix to be generated.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] ANORM
|
||
|
|
*> \verbatim
|
||
|
|
*> ANORM is DOUBLE PRECISION
|
||
|
|
*> The desired norm of the matrix to be generated. The diagonal
|
||
|
|
*> matrix of singular values or eigenvalues is scaled by this
|
||
|
|
*> value.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] BNORM
|
||
|
|
*> \verbatim
|
||
|
|
*> BNORM is DOUBLE PRECISION
|
||
|
|
*> The desired norm of the matrix to be generated. The diagonal
|
||
|
|
*> matrix of singular values or eigenvalues is scaled by this
|
||
|
|
*> value.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] MODEA
|
||
|
|
*> \verbatim
|
||
|
|
*> MODEA is INTEGER
|
||
|
|
*> A key indicating how to choose the vector of eigenvalues.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] MODEB
|
||
|
|
*> \verbatim
|
||
|
|
*> MODEB is INTEGER
|
||
|
|
*> A key indicating how to choose the vector of eigenvalues.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] CNDNMA
|
||
|
|
*> \verbatim
|
||
|
|
*> CNDNMA is DOUBLE PRECISION
|
||
|
|
*> The desired condition number.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] CNDNMB
|
||
|
|
*> \verbatim
|
||
|
|
*> CNDNMB is DOUBLE PRECISION
|
||
|
|
*> The desired condition number.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] DISTA
|
||
|
|
*> \verbatim
|
||
|
|
*> DISTA is CHARACTER*1
|
||
|
|
*> The type of distribution to be used by the random number
|
||
|
|
*> generator.
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] DISTB
|
||
|
|
*> \verbatim
|
||
|
|
*> DISTB is CHARACTER*1
|
||
|
|
*> The type of distribution to be used by the random number
|
||
|
|
*> generator.
|
||
|
|
*> \endverbatim
|
||
|
|
*
|
||
|
|
* Authors:
|
||
|
|
* ========
|
||
|
|
*
|
||
|
|
*> \author Univ. of Tennessee
|
||
|
|
*> \author Univ. of California Berkeley
|
||
|
|
*> \author Univ. of Colorado Denver
|
||
|
|
*> \author NAG Ltd.
|
||
|
|
*
|
||
|
|
*> \ingroup double_eig
|
||
|
|
*
|
||
|
|
* =====================================================================
|
||
|
|
SUBROUTINE DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
|
||
|
|
$ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
|
||
|
|
$ DISTA, DISTB )
|
||
|
|
*
|
||
|
|
* -- 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 ..
|
||
|
|
CHARACTER DISTA, DISTB, TYPE
|
||
|
|
CHARACTER*3 PATH
|
||
|
|
INTEGER IMAT, KLA, KLB, KUA, KUB, M, MODEA, MODEB, N, P
|
||
|
|
DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
|
||
|
|
* ..
|
||
|
|
*
|
||
|
|
* =====================================================================
|
||
|
|
*
|
||
|
|
* .. 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
|
||
|
|
* ..
|
||
|
|
* .. 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
|
||
|
|
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
|