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279 lines
7.8 KiB
279 lines
7.8 KiB
2 years ago
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*> \brief \b DDRVRF1
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE DDRVRF1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK )
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*
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* .. Scalar Arguments ..
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* INTEGER LDA, NN, NOUT
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* DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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* INTEGER NVAL( NN )
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* DOUBLE PRECISION A( LDA, * ), ARF( * ), WORK( * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> DDRVRF1 tests the LAPACK RFP routines:
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*> DLANSF
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] NOUT
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*> \verbatim
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*> NOUT is INTEGER
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*> The unit number for output.
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*> \endverbatim
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*>
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*> \param[in] NN
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*> \verbatim
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*> NN is INTEGER
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*> The number of values of N contained in the vector NVAL.
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*> \endverbatim
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*>
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*> \param[in] NVAL
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*> \verbatim
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*> NVAL is INTEGER array, dimension (NN)
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*> The values of the matrix dimension N.
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*> \endverbatim
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*>
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*> \param[in] THRESH
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*> \verbatim
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*> THRESH is DOUBLE PRECISION
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*> The threshold value for the test ratios. A result is
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*> included in the output file if RESULT >= THRESH. To have
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*> every test ratio printed, use THRESH = 0.
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*> \endverbatim
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*>
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*> \param[out] A
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*> \verbatim
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*> A is DOUBLE PRECISION array, dimension (LDA,NMAX)
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*> \endverbatim
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*>
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*> \param[in] LDA
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*> \verbatim
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*> LDA is INTEGER
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*> The leading dimension of the array A. LDA >= max(1,NMAX).
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*> \endverbatim
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*>
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*> \param[out] ARF
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*> \verbatim
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*> ARF is DOUBLE PRECISION array, dimension ((NMAX*(NMAX+1))/2).
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*> WORK is DOUBLE PRECISION array, dimension ( NMAX )
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup double_lin
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*
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* =====================================================================
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SUBROUTINE DDRVRF1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK )
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*
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* -- LAPACK test routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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INTEGER LDA, NN, NOUT
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DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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INTEGER NVAL( NN )
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DOUBLE PRECISION A( LDA, * ), ARF( * ), WORK( * )
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* ..
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*
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* =====================================================================
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* ..
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* .. Parameters ..
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DOUBLE PRECISION ONE
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PARAMETER ( ONE = 1.0D+0 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 1 )
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* ..
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* .. Local Scalars ..
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CHARACTER UPLO, CFORM, NORM
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INTEGER I, IFORM, IIN, IIT, INFO, INORM, IUPLO, J, N,
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+ NERRS, NFAIL, NRUN
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DOUBLE PRECISION EPS, LARGE, NORMA, NORMARF, SMALL
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* ..
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* .. Local Arrays ..
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CHARACTER UPLOS( 2 ), FORMS( 2 ), NORMS( 4 )
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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DOUBLE PRECISION RESULT( NTESTS )
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* ..
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* .. External Functions ..
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DOUBLE PRECISION DLAMCH, DLANSY, DLANSF, DLARND
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EXTERNAL DLAMCH, DLANSY, DLANSF, DLARND
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* ..
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* .. External Subroutines ..
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EXTERNAL DTRTTF
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* ..
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* .. Scalars in Common ..
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CHARACTER*32 SRNAMT
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* ..
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* .. Common blocks ..
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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DATA UPLOS / 'U', 'L' /
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DATA FORMS / 'N', 'T' /
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DATA NORMS / 'M', '1', 'I', 'F' /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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NRUN = 0
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NFAIL = 0
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NERRS = 0
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INFO = 0
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DO 10 I = 1, 4
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ISEED( I ) = ISEEDY( I )
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10 CONTINUE
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*
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EPS = DLAMCH( 'Precision' )
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SMALL = DLAMCH( 'Safe minimum' )
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LARGE = ONE / SMALL
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SMALL = SMALL * LDA * LDA
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LARGE = LARGE / LDA / LDA
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*
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DO 130 IIN = 1, NN
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*
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N = NVAL( IIN )
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*
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DO 120 IIT = 1, 3
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* Nothing to do for N=0
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IF ( N .EQ. 0 ) EXIT
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*
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* IIT = 1 : random matrix
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* IIT = 2 : random matrix scaled near underflow
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* IIT = 3 : random matrix scaled near overflow
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*
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DO J = 1, N
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DO I = 1, N
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A( I, J) = DLARND( 2, ISEED )
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END DO
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END DO
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*
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IF ( IIT.EQ.2 ) THEN
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DO J = 1, N
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DO I = 1, N
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A( I, J) = A( I, J ) * LARGE
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END DO
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END DO
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END IF
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*
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IF ( IIT.EQ.3 ) THEN
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DO J = 1, N
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DO I = 1, N
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A( I, J) = A( I, J) * SMALL
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END DO
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END DO
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END IF
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*
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* Do first for UPLO = 'U', then for UPLO = 'L'
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*
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DO 110 IUPLO = 1, 2
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*
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UPLO = UPLOS( IUPLO )
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*
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* Do first for CFORM = 'N', then for CFORM = 'C'
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*
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DO 100 IFORM = 1, 2
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*
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CFORM = FORMS( IFORM )
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*
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SRNAMT = 'DTRTTF'
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CALL DTRTTF( CFORM, UPLO, N, A, LDA, ARF, INFO )
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*
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* Check error code from DTRTTF
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*
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IF( INFO.NE.0 ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) THEN
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WRITE( NOUT, * )
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WRITE( NOUT, FMT = 9999 )
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END IF
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WRITE( NOUT, FMT = 9998 ) SRNAMT, UPLO, CFORM, N
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NERRS = NERRS + 1
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GO TO 100
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END IF
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*
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DO 90 INORM = 1, 4
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*
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* Check all four norms: 'M', '1', 'I', 'F'
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*
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NORM = NORMS( INORM )
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NORMARF = DLANSF( NORM, CFORM, UPLO, N, ARF, WORK )
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NORMA = DLANSY( NORM, UPLO, N, A, LDA, WORK )
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*
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RESULT(1) = ( NORMA - NORMARF ) / NORMA / EPS
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NRUN = NRUN + 1
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*
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IF( RESULT(1).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) THEN
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WRITE( NOUT, * )
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WRITE( NOUT, FMT = 9999 )
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END IF
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WRITE( NOUT, FMT = 9997 ) 'DLANSF',
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+ N, IIT, UPLO, CFORM, NORM, RESULT(1)
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NFAIL = NFAIL + 1
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END IF
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90 CONTINUE
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100 CONTINUE
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110 CONTINUE
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120 CONTINUE
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130 CONTINUE
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*
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* Print a summary of the results.
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*
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IF ( NFAIL.EQ.0 ) THEN
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WRITE( NOUT, FMT = 9996 ) 'DLANSF', NRUN
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ELSE
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WRITE( NOUT, FMT = 9995 ) 'DLANSF', NFAIL, NRUN
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END IF
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IF ( NERRS.NE.0 ) THEN
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WRITE( NOUT, FMT = 9994 ) NERRS, 'DLANSF'
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END IF
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*
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9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing DLANSF
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+ ***')
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9998 FORMAT( 1X, ' Error in ',A6,' with UPLO=''',A1,''', FORM=''',
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+ A1,''', N=',I5)
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9997 FORMAT( 1X, ' Failure in ',A6,' N=',I5,' TYPE=',I5,' UPLO=''',
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+ A1, ''', FORM =''',A1,''', NORM=''',A1,''', test=',G12.5)
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9996 FORMAT( 1X, 'All tests for ',A6,' auxiliary routine passed the ',
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+ 'threshold ( ',I5,' tests run)')
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9995 FORMAT( 1X, A6, ' auxiliary routine: ',I5,' out of ',I5,
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+ ' tests failed to pass the threshold')
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9994 FORMAT( 26X, I5,' error message recorded (',A6,')')
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*
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RETURN
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*
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* End of DDRVRF1
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*
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END
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