NAKATA Maho
25d74b31a7
Replace hard-coded floating-point constants with existing named constants in the drvrf3 and drvrfp test drivers. This keeps the test initialization code consistent with surrounding LAPACK test style.
405 lines
13 KiB
FortranFixed
405 lines
13 KiB
FortranFixed
*> \brief \b DDRVRF3
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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 DDRVRF3( NOUT, NN, NVAL, THRESH, A, LDA, ARF, B1, B2,
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* + D_WORK_DLANGE, D_WORK_DGEQRF, TAU )
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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( * ), B1( LDA, * ),
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* + B2( LDA, * ), D_WORK_DGEQRF( * ),
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* + D_WORK_DLANGE( * ), TAU( * )
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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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*> DDRVRF3 tests the LAPACK RFP routines:
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*> DTFSM
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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] B1
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*> \verbatim
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*> B1 is DOUBLE PRECISION array, dimension (LDA,NMAX)
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*> \endverbatim
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*>
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*> \param[out] B2
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*> \verbatim
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*> B2 is DOUBLE PRECISION array, dimension (LDA,NMAX)
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*> \endverbatim
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*>
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*> \param[out] D_WORK_DLANGE
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*> \verbatim
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*> D_WORK_DLANGE is DOUBLE PRECISION array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[out] D_WORK_DGEQRF
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*> \verbatim
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*> D_WORK_DGEQRF is DOUBLE PRECISION array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[out] TAU
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*> \verbatim
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*> TAU 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 DDRVRF3( NOUT, NN, NVAL, THRESH, A, LDA, ARF, B1, B2,
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+ D_WORK_DLANGE, D_WORK_DGEQRF, TAU )
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IMPLICIT NONE
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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( * ), B1( LDA, * ),
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+ B2( LDA, * ), D_WORK_DGEQRF( * ),
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+ D_WORK_DLANGE( * ), TAU( * )
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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, TWO
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PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) ,
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+ ONE = ( 1.0D+0, 0.0D+0 ),
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+ TWO = 2.0D+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, DIAG, TRANS, SIDE
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INTEGER I, IFORM, IIM, IIN, INFO, IUPLO, J, M, N, NA,
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+ NFAIL, NRUN, ISIDE, IDIAG, IALPHA, ITRANS
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DOUBLE PRECISION EPS, ALPHA
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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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+ DIAGS( 2 ), SIDES( 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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LOGICAL LSAME
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DOUBLE PRECISION DLAMCH, DLANGE, DLARND
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EXTERNAL DLAMCH, DLANGE, DLARND, LSAME
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* ..
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* .. External Subroutines ..
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EXTERNAL DTRTTF, DGEQRF, DGEQLF, DTFSM, DTRSM
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX, SQRT
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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 SIDES / 'L', 'R' /
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DATA TRANSS / 'N', 'T' /
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DATA DIAGS / 'N', 'U' /
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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 170 IIM = 1, NN
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*
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M = NVAL( IIM )
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*
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DO 160 IIN = 1, NN
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*
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N = NVAL( IIN )
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*
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DO 150 IFORM = 1, 2
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*
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CFORM = FORMS( IFORM )
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*
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DO 140 IUPLO = 1, 2
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*
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UPLO = UPLOS( IUPLO )
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*
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DO 130 ISIDE = 1, 2
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*
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SIDE = SIDES( ISIDE )
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*
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DO 120 ITRANS = 1, 2
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*
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TRANS = TRANSS( ITRANS )
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*
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DO 110 IDIAG = 1, 2
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*
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DIAG = DIAGS( IDIAG )
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*
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DO 100 IALPHA = 1, 3
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*
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IF ( IALPHA.EQ.1 ) THEN
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ALPHA = ZERO
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ELSE IF ( IALPHA.EQ.2 ) THEN
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ALPHA = ONE
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ELSE
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ALPHA = 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, SIDE, UPLO, TRANS, DIAG, M, N,
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* and ALPHA
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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 ( ISIDE.EQ.1 ) THEN
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*
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* The case ISIDE.EQ.1 is when SIDE.EQ.'L'
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* -> A is M-by-M ( B is M-by-N )
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*
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NA = M
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*
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ELSE
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*
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* The case ISIDE.EQ.2 is when SIDE.EQ.'R'
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* -> A is N-by-N ( B is M-by-N )
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*
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NA = N
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*
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END IF
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*
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* Generate A our NA--by--NA triangular
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* matrix.
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* Our test is based on forward error so we
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* do want A to be well conditioned! To get
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* a well-conditioned triangular matrix, we
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* take the R factor of the QR/LQ factorization
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* of a random matrix.
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*
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DO J = 1, NA
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DO I = 1, NA
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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 ( IUPLO.EQ.1 ) THEN
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*
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* The case IUPLO.EQ.1 is when SIDE.EQ.'U'
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* -> QR factorization.
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*
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SRNAMT = 'DGEQRF'
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CALL DGEQRF( NA, NA, A, LDA, TAU,
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+ D_WORK_DGEQRF, LDA,
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+ INFO )
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*
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* Forcing main diagonal of test matrix to
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* be unit makes it ill-conditioned for
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* some test cases
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*
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IF ( LSAME( DIAG, 'U' ) ) THEN
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DO J = 1, NA
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DO I = 1, J
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A( I, J ) = A( I, J ) /
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+ ( TWO * A( J, J ) )
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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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ELSE
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*
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* The case IUPLO.EQ.2 is when SIDE.EQ.'L'
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* -> QL factorization.
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*
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SRNAMT = 'DGELQF'
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CALL DGELQF( NA, NA, A, LDA, TAU,
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+ D_WORK_DGEQRF, LDA,
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+ INFO )
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*
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* Forcing main diagonal of test matrix to
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* be unit makes it ill-conditioned for
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* some test cases
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*
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IF ( LSAME( DIAG, 'U' ) ) THEN
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DO I = 1, NA
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DO J = 1, I
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A( I, J ) = A( I, J ) /
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+ ( TWO * A( I, I ) )
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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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END IF
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*
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* Store a copy of A in RFP format (in ARF).
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*
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SRNAMT = 'DTRTTF'
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CALL DTRTTF( CFORM, UPLO, NA, A, LDA, ARF,
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+ INFO )
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*
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* Generate B1 our M--by--N right-hand side
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* and store a copy in B2.
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*
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DO J = 1, N
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DO I = 1, M
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B1( I, J ) = DLARND( 2, ISEED )
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B2( I, J ) = B1( I, J )
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END DO
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END DO
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*
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* Solve op( A ) X = B or X op( A ) = B
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* with DTRSM
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*
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SRNAMT = 'DTRSM'
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CALL DTRSM( SIDE, UPLO, TRANS, DIAG, M, N,
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+ ALPHA, A, LDA, B1, LDA )
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*
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* Solve op( A ) X = B or X op( A ) = B
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* with DTFSM
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*
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SRNAMT = 'DTFSM'
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CALL DTFSM( CFORM, SIDE, UPLO, TRANS,
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+ DIAG, M, N, ALPHA, ARF, B2,
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+ LDA )
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*
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* Check that the result agrees.
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*
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DO J = 1, N
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DO I = 1, M
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B1( I, J ) = B2( I, J ) - B1( I, J )
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END DO
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END DO
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*
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RESULT( 1 ) = DLANGE( 'I', M, N, B1, LDA,
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+ D_WORK_DLANGE )
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*
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RESULT( 1 ) = RESULT( 1 ) / SQRT( EPS )
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+ / MAX ( MAX( M, N ), 1 )
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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 ) 'DTFSM',
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+ CFORM, SIDE, UPLO, TRANS, DIAG, M,
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+ N, 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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160 CONTINUE
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170 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 ) 'DTFSM', NRUN
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ELSE
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WRITE( NOUT, FMT = 9995 ) 'DTFSM', 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 DTFSM
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+ ***')
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9997 FORMAT( 1X, ' Failure in ',A5,', CFORM=''',A1,''',',
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+ ' SIDE=''',A1,''',',' UPLO=''',A1,''',',' TRANS=''',A1,''',',
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+ ' DIAG=''',A1,''',',' M=',I3,', N =', I3,', test=',G12.5)
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9996 FORMAT( 1X, 'All tests for ',A5,' 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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*
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RETURN
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*
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* End of DDRVRF3
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*
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END
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