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