359 lines
11 KiB
Fortran
359 lines
11 KiB
Fortran
*> \brief \b ZDRVRF4
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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 ZDRVRF4( NOUT, NN, NVAL, THRESH, C1, C2, LDC, CRF, A,
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* + LDA, D_WORK_ZLANGE )
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*
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* .. Scalar Arguments ..
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* INTEGER LDA, LDC, 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 D_WORK_ZLANGE( * )
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* COMPLEX*16 A( LDA, * ), C1( LDC, * ), C2( LDC, *),
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* + CRF( * )
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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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*> ZDRVRF4 tests the LAPACK RFP routines:
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*> ZHFRK
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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] C1
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*> \verbatim
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*> C1 is COMPLEX*16 array, dimension (LDC,NMAX)
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*> \endverbatim
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*>
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*> \param[out] C2
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*> \verbatim
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*> C2 is COMPLEX*16 array, dimension (LDC,NMAX)
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*> \endverbatim
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*>
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*> \param[in] LDC
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*> \verbatim
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*> LDC 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] CRF
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*> \verbatim
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*> CRF is COMPLEX*16 array, dimension ((NMAX*(NMAX+1))/2).
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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 COMPLEX*16 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] D_WORK_ZLANGE
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*> \verbatim
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*> D_WORK_ZLANGE 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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*> \date November 2011
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*
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*> \ingroup complex16_lin
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*
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* =====================================================================
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SUBROUTINE ZDRVRF4( NOUT, NN, NVAL, THRESH, C1, C2, LDC, CRF, A,
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+ LDA, D_WORK_ZLANGE )
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*
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* -- LAPACK test routine (version 3.4.0) --
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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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* November 2011
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*
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* .. Scalar Arguments ..
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INTEGER LDA, LDC, 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 D_WORK_ZLANGE( * )
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COMPLEX*16 A( LDA, * ), C1( LDC, * ), C2( LDC, *),
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+ CRF( * )
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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 ZERO, ONE
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PARAMETER ( ZERO = 0.0D+0, 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, TRANS
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INTEGER I, IFORM, IIK, IIN, INFO, IUPLO, J, K, N,
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+ NFAIL, NRUN, IALPHA, ITRANS
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DOUBLE PRECISION ALPHA, BETA, EPS, NORMA, NORMC
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* ..
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* .. Local Arrays ..
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CHARACTER UPLOS( 2 ), FORMS( 2 ), TRANSS( 2 )
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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, DLARND, ZLANGE
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COMPLEX*16 ZLARND
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EXTERNAL DLAMCH, DLARND, ZLANGE, ZLARND
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* ..
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* .. External Subroutines ..
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EXTERNAL ZHERK, ZHFRK, ZTFTTR, ZTRTTF
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DABS, MAX
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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', 'C' /
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DATA TRANSS / 'N', 'C' /
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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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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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EPS = DLAMCH( 'Precision' )
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*
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DO 150 IIN = 1, NN
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*
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N = NVAL( IIN )
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*
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DO 140 IIK = 1, NN
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*
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K = NVAL( IIN )
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*
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DO 130 IFORM = 1, 2
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*
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CFORM = FORMS( IFORM )
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*
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DO 120 IUPLO = 1, 2
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*
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UPLO = UPLOS( IUPLO )
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*
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DO 110 ITRANS = 1, 2
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*
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TRANS = TRANSS( ITRANS )
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*
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DO 100 IALPHA = 1, 4
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*
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IF ( IALPHA.EQ. 1) THEN
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ALPHA = ZERO
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BETA = ZERO
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ELSE IF ( IALPHA.EQ. 1) THEN
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ALPHA = ONE
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BETA = ZERO
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ELSE IF ( IALPHA.EQ. 1) THEN
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ALPHA = ZERO
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BETA = ONE
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ELSE
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ALPHA = DLARND( 2, ISEED )
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BETA = DLARND( 2, ISEED )
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END IF
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*
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* All the parameters are set:
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* CFORM, UPLO, TRANS, M, N,
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* ALPHA, and BETA
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* READY TO TEST!
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*
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NRUN = NRUN + 1
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*
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IF ( ITRANS.EQ.1 ) THEN
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*
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* In this case we are NOTRANS, so A is N-by-K
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*
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DO J = 1, K
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DO I = 1, N
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A( I, J) = ZLARND( 4, ISEED )
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END DO
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END DO
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*
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NORMA = ZLANGE( 'I', N, K, A, LDA,
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+ D_WORK_ZLANGE )
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*
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ELSE
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*
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* In this case we are TRANS, so A is K-by-N
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*
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DO J = 1,N
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DO I = 1, K
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A( I, J) = ZLARND( 4, ISEED )
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END DO
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END DO
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*
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NORMA = ZLANGE( 'I', K, N, A, LDA,
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+ D_WORK_ZLANGE )
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*
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END IF
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*
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*
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* Generate C1 our N--by--N Hermitian matrix.
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* Make sure C2 has the same upper/lower part,
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* (the one that we do not touch), so
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* copy the initial C1 in C2 in it.
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*
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DO J = 1, N
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DO I = 1, N
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C1( I, J) = ZLARND( 4, ISEED )
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C2(I,J) = C1(I,J)
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END DO
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END DO
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*
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* (See comment later on for why we use ZLANGE and
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* not ZLANHE for C1.)
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*
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NORMC = ZLANGE( 'I', N, N, C1, LDC,
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+ D_WORK_ZLANGE )
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*
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SRNAMT = 'ZTRTTF'
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CALL ZTRTTF( CFORM, UPLO, N, C1, LDC, CRF,
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+ INFO )
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*
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* call zherk the BLAS routine -> gives C1
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*
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SRNAMT = 'ZHERK '
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CALL ZHERK( UPLO, TRANS, N, K, ALPHA, A, LDA,
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+ BETA, C1, LDC )
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*
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* call zhfrk the RFP routine -> gives CRF
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*
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SRNAMT = 'ZHFRK '
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CALL ZHFRK( CFORM, UPLO, TRANS, N, K, ALPHA, A,
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+ LDA, BETA, CRF )
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*
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* convert CRF in full format -> gives C2
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*
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SRNAMT = 'ZTFTTR'
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CALL ZTFTTR( CFORM, UPLO, N, CRF, C2, LDC,
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+ INFO )
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*
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* compare C1 and C2
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*
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DO J = 1, N
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DO I = 1, N
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C1(I,J) = C1(I,J)-C2(I,J)
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END DO
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END DO
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*
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* Yes, C1 is Hermitian so we could call ZLANHE,
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* but we want to check the upper part that is
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* supposed to be unchanged and the diagonal that
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* is supposed to be real -> ZLANGE
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*
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RESULT(1) = ZLANGE( 'I', N, N, C1, LDC,
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+ D_WORK_ZLANGE )
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RESULT(1) = RESULT(1)
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+ / MAX( DABS( ALPHA ) * NORMA * NORMA
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+ + DABS( BETA ) * NORMC, ONE )
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+ / MAX( N , 1 ) / EPS
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*
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IF( RESULT(1).GE.THRESH ) THEN
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IF( NFAIL.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 ) 'ZHFRK',
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+ CFORM, UPLO, TRANS, N, K, RESULT(1)
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NFAIL = NFAIL + 1
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END IF
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*
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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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140 CONTINUE
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150 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 ) 'ZHFRK', NRUN
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ELSE
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WRITE( NOUT, FMT = 9995 ) 'ZHFRK', NFAIL, NRUN
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END IF
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*
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9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing ZHFRK
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+ ***')
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9997 FORMAT( 1X, ' Failure in ',A5,', CFORM=''',A1,''',',
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+ ' UPLO=''',A1,''',',' TRANS=''',A1,''',', ' N=',I3,', K =', I3,
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+ ', test=',G12.5)
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9996 FORMAT( 1X, 'All tests for ',A5,' auxiliary routine passed the ',
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+ 'threshold ( ',I6,' tests run)')
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9995 FORMAT( 1X, A6, ' auxiliary routine: ',I6,' out of ',I6,
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+ ' tests failed to pass the threshold')
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*
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RETURN
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*
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* End of ZDRVRF4
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*
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END
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