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|
*> \brief \b SLATB4
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE SLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
* CNDNUM, DIST )
*
* .. Scalar Arguments ..
* CHARACTER DIST, TYPE
* CHARACTER*3 PATH
* INTEGER IMAT, KL, KU, M, MODE, N
* REAL ANORM, CNDNUM
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> SLATB4 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] M
*> \verbatim
*> M is INTEGER
*> The number of rows in the matrix to be generated.
*> \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] 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 REAL
*> 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 REAL
*> 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 single_lin
*
* =====================================================================
SUBROUTINE SLATB4( PATH, IMAT, M, 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 ..
CHARACTER DIST, TYPE
CHARACTER*3 PATH
INTEGER IMAT, KL, KU, M, MODE, N
REAL ANORM, CNDNUM
* ..
*
* =====================================================================
*
* .. Parameters ..
REAL SHRINK, TENTH
PARAMETER ( SHRINK = 0.25E0, TENTH = 0.1E+0 )
REAL ONE
PARAMETER ( ONE = 1.0E+0 )
REAL TWO
PARAMETER ( TWO = 2.0E+0 )
* ..
* .. Local Scalars ..
LOGICAL FIRST
CHARACTER*2 C2
INTEGER MAT
REAL BADC1, BADC2, EPS, LARGE, SMALL
* ..
* .. External Functions ..
LOGICAL LSAMEN
REAL SLAMCH
EXTERNAL LSAMEN, SLAMCH
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, SQRT
* ..
* .. External Subroutines ..
EXTERNAL SLABAD
* ..
* .. 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 = SLAMCH( 'Precision' )
BADC2 = TENTH / EPS
BADC1 = SQRT( BADC2 )
SMALL = SLAMCH( '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 SLABAD( SMALL, LARGE )
SMALL = SHRINK*( SMALL / EPS )
LARGE = ONE / SMALL
END IF
*
C2 = PATH( 2: 3 )
*
* Set some parameters we don't plan to change.
*
DIST = 'S'
MODE = 3
*
IF( LSAMEN( 2, C2, 'QR' ) .OR. LSAMEN( 2, C2, 'LQ' ) .OR.
$ LSAMEN( 2, C2, 'QL' ) .OR. LSAMEN( 2, C2, 'RQ' ) ) THEN
*
* xQR, xLQ, xQL, xRQ: Set parameters to generate a general
* M x N matrix.
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'N'
*
* Set the lower and upper bandwidths.
*
IF( IMAT.EQ.1 ) THEN
KL = 0
KU = 0
ELSE IF( IMAT.EQ.2 ) THEN
KL = 0
KU = MAX( N-1, 0 )
ELSE IF( IMAT.EQ.3 ) THEN
KL = MAX( M-1, 0 )
KU = 0
ELSE
KL = MAX( M-1, 0 )
KU = MAX( N-1, 0 )
END IF
*
* Set the condition number and norm.
*
IF( IMAT.EQ.5 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.6 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.7 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.8 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'GE' ) ) THEN
*
* xGE: Set parameters to generate a general M x N matrix.
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'N'
*
* Set the lower and upper bandwidths.
*
IF( IMAT.EQ.1 ) THEN
KL = 0
KU = 0
ELSE IF( IMAT.EQ.2 ) THEN
KL = 0
KU = MAX( N-1, 0 )
ELSE IF( IMAT.EQ.3 ) THEN
KL = MAX( M-1, 0 )
KU = 0
ELSE
KL = MAX( M-1, 0 )
KU = MAX( N-1, 0 )
END IF
*
* Set the condition number and norm.
*
IF( IMAT.EQ.8 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.9 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.10 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.11 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'GB' ) ) THEN
*
* xGB: Set parameters to generate a general banded matrix.
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'N'
*
* Set the condition number and norm.
*
IF( IMAT.EQ.5 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.6 ) THEN
CNDNUM = TENTH*BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.7 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.8 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'GT' ) ) THEN
*
* xGT: Set parameters to generate a general tridiagonal matrix.
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'N'
*
* Set the lower and upper bandwidths.
*
IF( IMAT.EQ.1 ) THEN
KL = 0
ELSE
KL = 1
END IF
KU = KL
*
* Set the condition number and norm.
*
IF( IMAT.EQ.3 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.4 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.5 .OR. IMAT.EQ.11 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.6 .OR. IMAT.EQ.12 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'PO' ) .OR. LSAMEN( 2, C2, 'PP' ) ) THEN
*
* xPO, xPP, xSY, xSP: Set parameters to generate a
* symmetric positive definite matrix.
*
* 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.
*
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
*
*
ELSE IF( LSAMEN( 2, C2, 'SY' ) .OR. LSAMEN( 2, C2, 'SP' ) ) THEN
*
* xSY, xSP: Set parameters to generate a
* symmetric matrix.
*
* 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.
*
IF( IMAT.EQ.7 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.8 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.9 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.10 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'PB' ) ) THEN
*
* xPB: Set parameters to generate a symmetric band matrix.
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'P'
*
* Set the norm and condition number.
*
IF( IMAT.EQ.5 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.6 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.7 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.8 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'PT' ) ) THEN
*
* xPT: Set parameters to generate a symmetric positive definite
* tridiagonal matrix.
*
TYPE = 'P'
IF( IMAT.EQ.1 ) THEN
KL = 0
ELSE
KL = 1
END IF
KU = KL
*
* Set the condition number and norm.
*
IF( IMAT.EQ.3 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.4 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.5 .OR. IMAT.EQ.11 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.6 .OR. IMAT.EQ.12 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'TR' ) .OR. LSAMEN( 2, C2, 'TP' ) ) THEN
*
* xTR, xTP: Set parameters to generate a triangular matrix
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'N'
*
* Set the lower and upper bandwidths.
*
MAT = ABS( IMAT )
IF( MAT.EQ.1 .OR. MAT.EQ.7 ) THEN
KL = 0
KU = 0
ELSE IF( IMAT.LT.0 ) THEN
KL = MAX( N-1, 0 )
KU = 0
ELSE
KL = 0
KU = MAX( N-1, 0 )
END IF
*
* Set the condition number and norm.
*
IF( MAT.EQ.3 .OR. MAT.EQ.9 ) THEN
CNDNUM = BADC1
ELSE IF( MAT.EQ.4 ) THEN
CNDNUM = BADC2
ELSE IF( MAT.EQ.10 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( MAT.EQ.5 ) THEN
ANORM = SMALL
ELSE IF( MAT.EQ.6 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
*
ELSE IF( LSAMEN( 2, C2, 'TB' ) ) THEN
*
* xTB: Set parameters to generate a triangular band matrix.
*
* Set TYPE, the type of matrix to be generated.
*
TYPE = 'N'
*
* Set the norm and condition number.
*
IF( IMAT.EQ.2 .OR. IMAT.EQ.8 ) THEN
CNDNUM = BADC1
ELSE IF( IMAT.EQ.3 .OR. IMAT.EQ.9 ) THEN
CNDNUM = BADC2
ELSE
CNDNUM = TWO
END IF
*
IF( IMAT.EQ.4 ) THEN
ANORM = SMALL
ELSE IF( IMAT.EQ.5 ) THEN
ANORM = LARGE
ELSE
ANORM = ONE
END IF
END IF
IF( N.LE.1 )
$ CNDNUM = ONE
*
RETURN
*
* End of SLATB4
*
END
|
