235 lines
5.6 KiB
Fortran
235 lines
5.6 KiB
Fortran
*> \brief \b DLATB5
|
|
*
|
|
* =========== DOCUMENTATION ===========
|
|
*
|
|
* Online html documentation available at
|
|
* http://www.netlib.org/lapack/explore-html/
|
|
*
|
|
* Definition:
|
|
* ===========
|
|
*
|
|
* SUBROUTINE DLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, MODE,
|
|
* CNDNUM, DIST )
|
|
*
|
|
* .. Scalar Arguments ..
|
|
* DOUBLE PRECISION ANORM, CNDNUM
|
|
* INTEGER IMAT, KL, KU, MODE, N
|
|
* CHARACTER DIST, TYPE
|
|
* CHARACTER*3 PATH
|
|
* ..
|
|
*
|
|
*
|
|
*> \par Purpose:
|
|
* =============
|
|
*>
|
|
*> \verbatim
|
|
*>
|
|
*> DLATB5 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.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] N
|
|
*> \verbatim
|
|
*> N is INTEGER
|
|
*> The number of rows and 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] KL
|
|
*> \verbatim
|
|
*> KL is INTEGER
|
|
*> The lower band width of the matrix to be generated.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] KU
|
|
*> \verbatim
|
|
*> KU 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] MODE
|
|
*> \verbatim
|
|
*> MODE is INTEGER
|
|
*> A key indicating how to choose the vector of eigenvalues.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] CNDNUM
|
|
*> \verbatim
|
|
*> CNDNUM is DOUBLE PRECISION
|
|
*> The desired condition number.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] DIST
|
|
*> \verbatim
|
|
*> DIST 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.
|
|
*
|
|
*> \date November 2011
|
|
*
|
|
*> \ingroup double_lin
|
|
*
|
|
* =====================================================================
|
|
SUBROUTINE DLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, MODE,
|
|
$ CNDNUM, DIST )
|
|
*
|
|
* -- LAPACK test routine (version 3.4.0) --
|
|
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
|
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
|
* November 2011
|
|
*
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION ANORM, CNDNUM
|
|
INTEGER IMAT, KL, KU, MODE, N
|
|
CHARACTER DIST, TYPE
|
|
CHARACTER*3 PATH
|
|
* ..
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION SHRINK, TENTH
|
|
PARAMETER ( SHRINK = 0.25D0, TENTH = 0.1D+0 )
|
|
DOUBLE PRECISION ONE
|
|
PARAMETER ( ONE = 1.0D+0 )
|
|
DOUBLE PRECISION TWO
|
|
PARAMETER ( TWO = 2.0D+0 )
|
|
* ..
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION BADC1, BADC2, EPS, LARGE, SMALL
|
|
LOGICAL FIRST
|
|
CHARACTER*2 C2
|
|
* ..
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DLAMCH
|
|
EXTERNAL 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
|
|
*
|
|
C2 = PATH( 2: 3 )
|
|
*
|
|
* Set some parameters
|
|
*
|
|
DIST = 'S'
|
|
MODE = 3
|
|
*
|
|
* Set TYPE, the type of matrix to be generated.
|
|
*
|
|
TYPE = C2( 1: 1 )
|
|
*
|
|
* Set the lower and upper bandwidths.
|
|
*
|
|
IF( IMAT.EQ.1 ) THEN
|
|
KL = 0
|
|
ELSE
|
|
KL = MAX( N-1, 0 )
|
|
END IF
|
|
KU = KL
|
|
*
|
|
* Set the condition number and norm.etc
|
|
*
|
|
IF( IMAT.EQ.3 ) THEN
|
|
CNDNUM = 1.0D12
|
|
MODE = 2
|
|
ELSE IF( IMAT.EQ.4 ) THEN
|
|
CNDNUM = 1.0D12
|
|
MODE = 1
|
|
ELSE IF( IMAT.EQ.5 ) THEN
|
|
CNDNUM = 1.0D12
|
|
MODE = 3
|
|
ELSE IF( IMAT.EQ.6 ) THEN
|
|
CNDNUM = BADC1
|
|
ELSE IF( IMAT.EQ.7 ) THEN
|
|
CNDNUM = BADC2
|
|
ELSE
|
|
CNDNUM = TWO
|
|
END IF
|
|
*
|
|
IF( IMAT.EQ.8 ) THEN
|
|
ANORM = SMALL
|
|
ELSE IF( IMAT.EQ.9 ) THEN
|
|
ANORM = LARGE
|
|
ELSE
|
|
ANORM = ONE
|
|
END IF
|
|
*
|
|
IF( N.LE.1 )
|
|
$ CNDNUM = ONE
|
|
*
|
|
RETURN
|
|
*
|
|
* End of DLATB5
|
|
*
|
|
END
|