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484 lines
15 KiB
484 lines
15 KiB
2 years ago
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*> \brief \b CDRVHE_AA
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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 CDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
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* NOUT )
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*
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* .. Scalar Arguments ..
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* LOGICAL TSTERR
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* INTEGER NMAX, NN, NOUT, NRHS
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* REAL THRESH
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* ..
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* .. Array Arguments ..
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* LOGICAL DOTYPE( * )
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* INTEGER IWORK( * ), NVAL( * )
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* REAL RWORK( * )
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* COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
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* $ WORK( * ), X( * ), XACT( * )
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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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*> CDRVHE_AA tests the driver routine CHESV_AA.
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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] DOTYPE
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*> \verbatim
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*> DOTYPE is LOGICAL array, dimension (NTYPES)
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*> The matrix types to be used for testing. Matrices of type j
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*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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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] NRHS
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*> \verbatim
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*> NRHS is INTEGER
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*> The number of right hand side vectors to be generated for
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*> each linear system.
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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 REAL
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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[in] TSTERR
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*> \verbatim
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*> TSTERR is LOGICAL
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*> Flag that indicates whether error exits are to be tested.
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*> \endverbatim
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*>
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*> \param[in] NMAX
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*> \verbatim
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*> NMAX is INTEGER
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*> The maximum value permitted for N, used in dimensioning the
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*> work arrays.
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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 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AFAC
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*> \verbatim
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*> AFAC is COMPLEX array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AINV
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*> \verbatim
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*> AINV is COMPLEX array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] B
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*> \verbatim
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*> B is COMPLEX array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] X
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*> \verbatim
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*> X is COMPLEX array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] XACT
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*> \verbatim
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*> XACT is COMPLEX array, dimension (NMAX*NRHS)
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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 COMPLEX array, dimension (NMAX*max(2,NRHS))
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*> \endverbatim
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*>
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*> \param[out] RWORK
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*> \verbatim
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*> RWORK is REAL array, dimension (NMAX+2*NRHS)
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*> \endverbatim
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*>
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*> \param[out] IWORK
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*> \verbatim
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*> IWORK is INTEGER array, dimension (NMAX)
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*> \endverbatim
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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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* 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 complex_lin
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*
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* =====================================================================
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SUBROUTINE CDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR,
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$ NMAX, A, AFAC, AINV, B, X, XACT, WORK,
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$ RWORK, IWORK, NOUT )
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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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LOGICAL TSTERR
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INTEGER NMAX, NN, NOUT, NRHS
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REAL THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER IWORK( * ), NVAL( * )
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REAL RWORK( * )
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COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
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$ WORK( * ), X( * ), XACT( * )
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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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REAL ONE, ZERO
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PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
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INTEGER NTYPES, NTESTS
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PARAMETER ( NTYPES = 10, NTESTS = 3 )
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INTEGER NFACT
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PARAMETER ( NFACT = 2 )
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* ..
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* .. Local Scalars ..
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LOGICAL ZEROT
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CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
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CHARACTER*3 MATPATH, PATH
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INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
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$ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N,
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$ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
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REAL ANORM, CNDNUM
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* ..
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* .. Local Arrays ..
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CHARACTER FACTS( NFACT ), UPLOS( 2 )
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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REAL RESULT( NTESTS )
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* ..
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* .. External Functions ..
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REAL CLANHE, SGET06
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EXTERNAL CLANHE, SGET06
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* ..
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* .. External Subroutines ..
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EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, CERRVX,
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$ CGET04, CLACPY, CLARHS, CLATB4, CLATMS,
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$ CHESV_AA, CHET01_AA, CPOT02,
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$ CHETRF_AA
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* ..
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* .. Scalars in Common ..
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LOGICAL LERR, OK
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CHARACTER*32 SRNAMT
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INTEGER INFOT, NUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, NUNIT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC CMPLX, MAX, MIN
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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' / , FACTS / 'F', 'N' /
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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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* Test path
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*
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PATH( 1: 1 ) = 'Complex precision'
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PATH( 2: 3 ) = 'HA'
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*
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* Path to generate matrices
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*
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MATPATH( 1: 1 ) = 'Complex precision'
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MATPATH( 2: 3 ) = 'HE'
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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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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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* Test the error exits
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*
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IF( TSTERR )
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$ CALL CERRVX( PATH, NOUT )
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INFOT = 0
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*
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* Set the block size and minimum block size for testing.
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*
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NB = 1
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NBMIN = 2
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CALL XLAENV( 1, NB )
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CALL XLAENV( 2, NBMIN )
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*
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* Do for each value of N in NVAL
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*
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DO 180 IN = 1, NN
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N = NVAL( IN )
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LWORK = MAX( 3*N-2, N*(1+NB) )
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LWORK = MAX( LWORK, 1 )
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LDA = MAX( N, 1 )
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XTYPE = 'N'
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NIMAT = NTYPES
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IF( N.LE.0 )
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$ NIMAT = 1
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*
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DO 170 IMAT = 1, NIMAT
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*
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* Do the tests only if DOTYPE( IMAT ) is true.
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*
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IF( .NOT.DOTYPE( IMAT ) )
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$ GO TO 170
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*
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* Skip types 3, 4, 5, or 6 if the matrix size is too small.
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*
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ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
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IF( ZEROT .AND. N.LT.IMAT-2 )
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$ GO TO 170
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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 160 IUPLO = 1, 2
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UPLO = UPLOS( IUPLO )
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*
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* Begin generate the test matrix A.
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*
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* Set up parameters with CLATB4 for the matrix generator
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* based on the type of matrix to be generated.
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*
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CALL CLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM,
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$ MODE, CNDNUM, DIST )
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*
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* Generate a matrix with CLATMS.
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*
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SRNAMT = 'CLATMS'
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CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
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$ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
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$ WORK, INFO )
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*
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* Check error code from CLATMS and handle error.
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*
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IF( INFO.NE.0 ) THEN
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CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N,
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$ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
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GO TO 160
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END IF
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*
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* For types 3-6, zero one or more rows and columns of
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* the matrix to test that INFO is returned correctly.
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*
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IF( ZEROT ) THEN
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IF( IMAT.EQ.3 ) THEN
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IZERO = 1
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ELSE IF( IMAT.EQ.4 ) THEN
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IZERO = N
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ELSE
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IZERO = N / 2 + 1
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END IF
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*
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IF( IMAT.LT.6 ) THEN
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*
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* Set row and column IZERO to zero.
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*
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IF( IUPLO.EQ.1 ) THEN
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IOFF = ( IZERO-1 )*LDA
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DO 20 I = 1, IZERO - 1
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A( IOFF+I ) = ZERO
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20 CONTINUE
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IOFF = IOFF + IZERO
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DO 30 I = IZERO, N
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A( IOFF ) = ZERO
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IOFF = IOFF + LDA
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30 CONTINUE
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ELSE
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IOFF = IZERO
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DO 40 I = 1, IZERO - 1
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A( IOFF ) = ZERO
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IOFF = IOFF + LDA
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40 CONTINUE
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IOFF = IOFF - IZERO
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DO 50 I = IZERO, N
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A( IOFF+I ) = ZERO
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50 CONTINUE
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END IF
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ELSE
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IOFF = 0
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IF( IUPLO.EQ.1 ) THEN
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*
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* Set the first IZERO rows and columns to zero.
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*
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DO 70 J = 1, N
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I2 = MIN( J, IZERO )
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DO 60 I = 1, I2
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A( IOFF+I ) = ZERO
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60 CONTINUE
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IOFF = IOFF + LDA
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70 CONTINUE
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IZERO = 1
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ELSE
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*
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* Set the first IZERO rows and columns to zero.
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*
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IOFF = 0
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DO 90 J = 1, N
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I1 = MAX( J, IZERO )
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DO 80 I = I1, N
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A( IOFF+I ) = ZERO
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80 CONTINUE
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IOFF = IOFF + LDA
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90 CONTINUE
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END IF
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END IF
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ELSE
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IZERO = 0
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END IF
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*
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* End generate the test matrix A.
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*
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*
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DO 150 IFACT = 1, NFACT
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*
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* Do first for FACT = 'F', then for other values.
|
||
|
|
*
|
||
|
|
FACT = FACTS( IFACT )
|
||
|
|
*
|
||
|
|
* Form an exact solution and set the right hand side.
|
||
|
|
*
|
||
|
|
SRNAMT = 'CLARHS'
|
||
|
|
CALL CLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, KL, KU,
|
||
|
|
$ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
|
||
|
|
$ INFO )
|
||
|
|
XTYPE = 'C'
|
||
|
|
*
|
||
|
|
* --- Test CHESV_AA ---
|
||
|
|
*
|
||
|
|
IF( IFACT.EQ.2 ) THEN
|
||
|
|
CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
|
||
|
|
CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
|
||
|
|
*
|
||
|
|
* Factor the matrix and solve the system using CHESV_AA.
|
||
|
|
*
|
||
|
|
SRNAMT = 'CHESV_AA '
|
||
|
|
CALL CHESV_AA( UPLO, N, NRHS, AFAC, LDA, IWORK,
|
||
|
|
$ X, LDA, WORK, LWORK, INFO )
|
||
|
|
*
|
||
|
|
* Adjust the expected value of INFO to account for
|
||
|
|
* pivoting.
|
||
|
|
*
|
||
|
|
IF( IZERO.GT.0 ) THEN
|
||
|
|
J = 1
|
||
|
|
K = IZERO
|
||
|
|
100 CONTINUE
|
||
|
|
IF( J.EQ.K ) THEN
|
||
|
|
K = IWORK( J )
|
||
|
|
ELSE IF( IWORK( J ).EQ.K ) THEN
|
||
|
|
K = J
|
||
|
|
END IF
|
||
|
|
IF( J.LT.K ) THEN
|
||
|
|
J = J + 1
|
||
|
|
GO TO 100
|
||
|
|
END IF
|
||
|
|
ELSE
|
||
|
|
K = 0
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Check error code from CHESV_AA .
|
||
|
|
*
|
||
|
|
IF( INFO.NE.K ) THEN
|
||
|
|
CALL ALAERH( PATH, 'CHESV_AA', INFO, K,
|
||
|
|
$ UPLO, N, N, -1, -1, NRHS,
|
||
|
|
$ IMAT, NFAIL, NERRS, NOUT )
|
||
|
|
GO TO 120
|
||
|
|
ELSE IF( INFO.NE.0 ) THEN
|
||
|
|
GO TO 120
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Reconstruct matrix from factors and compute
|
||
|
|
* residual.
|
||
|
|
*
|
||
|
|
CALL CHET01_AA( UPLO, N, A, LDA, AFAC, LDA,
|
||
|
|
$ IWORK, AINV, LDA, RWORK,
|
||
|
|
$ RESULT( 1 ) )
|
||
|
|
*
|
||
|
|
* Compute residual of the computed solution.
|
||
|
|
*
|
||
|
|
CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
|
||
|
|
CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
|
||
|
|
$ LDA, RWORK, RESULT( 2 ) )
|
||
|
|
NT = 2
|
||
|
|
*
|
||
|
|
* Print information about the tests that did not pass
|
||
|
|
* the threshold.
|
||
|
|
*
|
||
|
|
DO 110 K = 1, NT
|
||
|
|
IF( RESULT( K ).GE.THRESH ) THEN
|
||
|
|
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
|
||
|
|
$ CALL ALADHD( NOUT, PATH )
|
||
|
|
WRITE( NOUT, FMT = 9999 )'CHESV_AA ',
|
||
|
|
$ UPLO, N, IMAT, K, RESULT( K )
|
||
|
|
NFAIL = NFAIL + 1
|
||
|
|
END IF
|
||
|
|
110 CONTINUE
|
||
|
|
NRUN = NRUN + NT
|
||
|
|
120 CONTINUE
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
150 CONTINUE
|
||
|
|
*
|
||
|
|
160 CONTINUE
|
||
|
|
170 CONTINUE
|
||
|
|
180 CONTINUE
|
||
|
|
*
|
||
|
|
* Print a summary of the results.
|
||
|
|
*
|
||
|
|
CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
|
||
|
|
*
|
||
|
|
9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
|
||
|
|
$ ', test ', I2, ', ratio =', G12.5 )
|
||
|
|
RETURN
|
||
|
|
*
|
||
|
|
* End of CDRVHE_AA
|
||
|
|
*
|
||
|
|
END
|