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SUBROUTINE ZDRVRF1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK )
*
IMPLICIT NONE
*
* -- LAPACK test routine (version 3.2.0) --
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
* November 2008
*
* .. Scalar Arguments ..
INTEGER LDA, NN, NOUT
DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
INTEGER NVAL( NN )
DOUBLE PRECISION WORK( * )
COMPLEX*16 A( LDA, * ), ARF( * )
* ..
*
* Purpose
* =======
*
* ZDRVRF1 tests the LAPACK RFP routines:
* ZLANHF.F
*
* Arguments
* =========
*
* NOUT (input) INTEGER
* The unit number for output.
*
* NN (input) INTEGER
* The number of values of N contained in the vector NVAL.
*
* NVAL (input) INTEGER array, dimension (NN)
* The values of the matrix dimension N.
*
* THRESH (input) 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.
*
* A (workspace) COMPLEX*16 array, dimension (LDA,NMAX)
*
* LDA (input) INTEGER
* The leading dimension of the array A. LDA >= max(1,NMAX).
*
* ARF (workspace) COMPLEX*16 array, dimension ((NMAX*(NMAX+1))/2).
*
* WORK (workspace) DOUBLE PRECISION array, dimension ( NMAX )
*
* =====================================================================
* ..
* .. 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 ..
COMPLEX*16 ZLARND
DOUBLE PRECISION DLAMCH, ZLANHE, ZLANHF
EXTERNAL DLAMCH, ZLARND, ZLANHE, ZLANHF
* ..
* .. External Subroutines ..
EXTERNAL ZTRTTF
* ..
* .. 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', 'C' /
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
*
* 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) = ZLARND( 4, 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 = 'ZTRTTF'
CALL ZTRTTF( CFORM, UPLO, N, A, LDA, ARF, INFO )
*
* Check error code from ZTRTTF
*
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 = ZLANHF( NORM, CFORM, UPLO, N, ARF, WORK )
NORMA = ZLANHE( 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 ) 'ZLANHF',
+ 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 ) 'ZLANHF', NRUN
ELSE
WRITE( NOUT, FMT = 9995 ) 'ZLANHF', NFAIL, NRUN
END IF
IF ( NERRS.NE.0 ) THEN
WRITE( NOUT, FMT = 9994 ) NERRS, 'ZLANHF'
END IF
*
9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing ZLANHF
+ ***')
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 ZDRVRF1
*
END
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