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