diff options
| author | julielangou <julie@cs.utk.edu> | 2016-11-23 16:27:46 -0800 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2016-11-23 16:27:46 -0800 |
| commit | 9564fbbc99be911d182a616d8535f03ecc2259e3 (patch) | |
| tree | 76014a5a8d834be819dafadc0efa1d75b38e8668 /TESTING | |
| parent | 14f49ebfde6908a959f7bcefbdcb2a95ab68c1f3 (diff) | |
| parent | 6714497b881128cd61207ee9f715477c1faaefd5 (diff) | |
Merge pull request #89 from iyamazaki/lapack-aasen
Lapack aasen , Add Aasen's for complex symmetric matrix, and a few cleanups/fixes in testers.
Diffstat (limited to 'TESTING')
| -rw-r--r-- | TESTING/LIN/Makefile | 12 | ||||
| -rw-r--r-- | TESTING/LIN/cchkaa.f | 37 | ||||
| -rw-r--r-- | TESTING/LIN/cchkhe_aa.f | 31 | ||||
| -rw-r--r-- | TESTING/LIN/cchksy_aa.f | 572 | ||||
| -rw-r--r-- | TESTING/LIN/cdrvhe_aa.f | 54 | ||||
| -rw-r--r-- | TESTING/LIN/cdrvsy_aa.f | 480 | ||||
| -rw-r--r-- | TESTING/LIN/cerrhe.f | 12 | ||||
| -rw-r--r-- | TESTING/LIN/cerrsy.f | 50 | ||||
| -rw-r--r-- | TESTING/LIN/chet01_aa.f | 50 | ||||
| -rw-r--r-- | TESTING/LIN/csyt01_aa.f | 265 | ||||
| -rw-r--r-- | TESTING/LIN/dchksy_aa.f | 34 | ||||
| -rw-r--r-- | TESTING/LIN/ddrvsy_aa.f | 59 | ||||
| -rw-r--r-- | TESTING/LIN/derrsy.f | 12 | ||||
| -rw-r--r-- | TESTING/LIN/dsyt01_aa.f | 40 | ||||
| -rw-r--r-- | TESTING/LIN/schksy_aa.f | 32 | ||||
| -rw-r--r-- | TESTING/LIN/sdrvsy_aa.f | 57 | ||||
| -rw-r--r-- | TESTING/LIN/serrsy.f | 15 | ||||
| -rw-r--r-- | TESTING/LIN/ssyt01_aa.f | 40 | ||||
| -rw-r--r-- | TESTING/LIN/zchkaa.f | 38 | ||||
| -rw-r--r-- | TESTING/LIN/zchkhe_aa.f | 31 | ||||
| -rw-r--r-- | TESTING/LIN/zchksy_aa.f | 572 | ||||
| -rw-r--r-- | TESTING/LIN/zdrvhe_aa.f | 56 | ||||
| -rw-r--r-- | TESTING/LIN/zdrvsy_aa.f | 480 | ||||
| -rw-r--r-- | TESTING/LIN/zerrhe.f | 15 | ||||
| -rw-r--r-- | TESTING/LIN/zerrsy.f | 44 | ||||
| -rw-r--r-- | TESTING/LIN/zhet01_aa.f | 74 | ||||
| -rw-r--r-- | TESTING/LIN/zsyt01_aa.f | 265 |
27 files changed, 3029 insertions, 398 deletions
diff --git a/TESTING/LIN/Makefile b/TESTING/LIN/Makefile index 15d5e94f..879cee2e 100644 --- a/TESTING/LIN/Makefile +++ b/TESTING/LIN/Makefile @@ -90,11 +90,11 @@ CLINTST = cchkaa.o \ cchkeq.o cchkgb.o cchkge.o cchkgt.o \ cchkhe.o cchkhe_rook.o cchkhe_rk.o cchkhe_aa.o cchkhp.o cchklq.o cchkpb.o \ cchkpo.o cchkps.o cchkpp.o cchkpt.o cchkq3.o cchkql.o \ - cchkqr.o cchkrq.o cchksp.o cchksy.o cchksy_rook.o cchksy_rk.o cchktb.o \ + cchkqr.o cchkrq.o cchksp.o cchksy.o cchksy_rook.o cchksy_rk.o cchksy_aa.o cchktb.o \ cchktp.o cchktr.o cchktz.o \ cdrvgt.o cdrvhe_rook.o cdrvhe_rk.o cdrvhe_aa.o cdrvhp.o \ cdrvls.o cdrvpb.o cdrvpp.o cdrvpt.o \ - cdrvsp.o cdrvsy_rook.o cdrvsy_rk.o \ + cdrvsp.o cdrvsy_rook.o cdrvsy_rk.o cdrvsy_aa.o \ cerrgt.o cerrlq.o \ cerrls.o cerrps.o cerrql.o cerrqp.o \ cerrqr.o cerrrq.o cerrtr.o cerrtz.o \ @@ -113,7 +113,7 @@ CLINTST = cchkaa.o \ cqrt12.o cqrt13.o cqrt14.o cqrt15.o cqrt16.o \ cqrt17.o crqt01.o crqt02.o crqt03.o crzt01.o crzt02.o \ csbmv.o cspt01.o \ - cspt02.o cspt03.o csyt01.o csyt01_rook.o csyt01_3.o csyt02.o csyt03.o \ + cspt02.o cspt03.o csyt01.o csyt01_rook.o csyt01_3.o csyt01_aa.o csyt02.o csyt03.o \ ctbt02.o ctbt03.o ctbt05.o ctbt06.o ctpt01.o \ ctpt02.o ctpt03.o ctpt05.o ctpt06.o ctrt01.o \ ctrt02.o ctrt03.o ctrt05.o ctrt06.o \ @@ -174,11 +174,11 @@ ZLINTST = zchkaa.o \ zchkeq.o zchkgb.o zchkge.o zchkgt.o \ zchkhe.o zchkhe_rook.o zchkhe_rk.o zchkhe_aa.o zchkhp.o zchklq.o zchkpb.o \ zchkpo.o zchkps.o zchkpp.o zchkpt.o zchkq3.o zchkql.o \ - zchkqr.o zchkrq.o zchksp.o zchksy.o zchksy_rook.o zchksy_rk.o zchktb.o \ + zchkqr.o zchkrq.o zchksp.o zchksy.o zchksy_rook.o zchksy_rk.o zchksy_aa.o zchktb.o \ zchktp.o zchktr.o zchktz.o \ zdrvgt.o zdrvhe_rook.o zdrvhe_rk.o zdrvhe_aa.o zdrvhp.o \ zdrvls.o zdrvpb.o zdrvpp.o zdrvpt.o \ - zdrvsp.o zdrvsy_rook.o zdrvsy_rk.o \ + zdrvsp.o zdrvsy_rook.o zdrvsy_rk.o zdrvsy_aa.o \ zerrgt.o zerrlq.o \ zerrls.o zerrps.o zerrql.o zerrqp.o \ zerrqr.o zerrrq.o zerrtr.o zerrtz.o \ @@ -197,7 +197,7 @@ ZLINTST = zchkaa.o \ zqrt12.o zqrt13.o zqrt14.o zqrt15.o zqrt16.o \ zqrt17.o zrqt01.o zrqt02.o zrqt03.o zrzt01.o zrzt02.o \ zsbmv.o zspt01.o \ - zspt02.o zspt03.o zsyt01.o zsyt01_rook.o zsyt01_3.o zsyt02.o zsyt03.o \ + zspt02.o zspt03.o zsyt01.o zsyt01_rook.o zsyt01_3.o zsyt01_aa.o zsyt02.o zsyt03.o \ ztbt02.o ztbt03.o ztbt05.o ztbt06.o ztpt01.o \ ztpt02.o ztpt03.o ztpt05.o ztpt06.o ztrt01.o \ ztrt02.o ztrt03.o ztrt05.o ztrt06.o \ diff --git a/TESTING/LIN/cchkaa.f b/TESTING/LIN/cchkaa.f index cf04e78d..f2ef59f1 100644 --- a/TESTING/LIN/cchkaa.f +++ b/TESTING/LIN/cchkaa.f @@ -165,12 +165,12 @@ $ CCHKHE_ROOK, CCHKHE_RK, CCHKHE_AA, CCHKLQ, $ CCHKPB,CCHKPO, CCHKPS, CCHKPP, CCHKPT, CCHKQ3, $ CCHKQL, CCHKQR, CCHKRQ, CCHKSP, CCHKSY, - $ CCHKSY_ROOK, CCHKSY_RK, CCHKTB, CCHKTP, - $ CCHKTR, CCHKTZ, CDRVGB, CDRVGE, CDRVGT, CDRVHE, - $ CDRVHE_ROOK, CDRVHE_RK, CDRVHE_AA, CDRVHP, - $ CDRVLS, CDRVPB, CDRVPO, CDRVPP, CDRVPT, CDRVSP, - $ CDRVSY, CDRVSY_ROOK, CDRVSY_RK, ILAVER, CCHKQRT, - $ CCHKQRTP + $ CCHKSY_ROOK, CCHKSY_RK, CCHKSY_AA, CCHKTB, + $ CCHKTP, CCHKTR, CCHKTZ, CDRVGB, CDRVGE, CDRVGT, + $ CDRVHE, CDRVHE_ROOK, CDRVHE_RK, CDRVHE_AA, + $ CDRVHP, CDRVLS, CDRVPB, CDRVPO, CDRVPP, CDRVPT, + $ CDRVSP, CDRVSY, CDRVSY_ROOK, CDRVSY_RK, + $ CDRVSY_AA, ILAVER, CCHKQRT, CCHKQRTP * .. * .. Scalars in Common .. LOGICAL LERR, OK @@ -830,6 +830,31 @@ WRITE( NOUT, FMT = 9988 )PATH END IF * + ELSE IF( LSAMEN( 2, C2, 'SA' ) ) THEN +* +* SA: symmetric indefinite matrices with Aasen's algorithm, +* + NTYPES = 11 + CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT ) +* + IF( TSTCHK ) THEN + CALL CCHKSY_AA( DOTYPE, NN, NVAL, NNB2, NBVAL2, NNS, NSVAL, + $ THRESH, TSTERR, LDA, A( 1, 1 ), A( 1, 2 ), + $ A( 1, 3 ), B( 1, 1 ), B( 1, 2 ), + $ B( 1, 3 ), WORK, RWORK, IWORK, NOUT ) + ELSE + WRITE( NOUT, FMT = 9989 )PATH + END IF +* + IF( TSTDRV ) THEN + CALL CDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, + $ LDA, A( 1, 1 ), A( 1, 2 ), A( 1, 3 ), + $ B( 1, 1 ), B( 1, 2 ), B( 1, 3 ), WORK, + $ RWORK, IWORK, NOUT ) + ELSE + WRITE( NOUT, FMT = 9988 )PATH + END IF +* ELSE IF( LSAMEN( 2, C2, 'SP' ) ) THEN * * SP: symmetric indefinite packed matrices, diff --git a/TESTING/LIN/cchkhe_aa.f b/TESTING/LIN/cchkhe_aa.f index 702677bd..ca23c0f2 100644 --- a/TESTING/LIN/cchkhe_aa.f +++ b/TESTING/LIN/cchkhe_aa.f @@ -205,13 +205,13 @@ PARAMETER ( NTESTS = 9 ) * .. * .. Local Scalars .. - LOGICAL TRFCON, ZEROT + LOGICAL ZEROT CHARACTER DIST, TYPE, UPLO, XTYPE CHARACTER*3 PATH, MATPATH INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS, $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE, $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT - REAL ANORM, CNDNUM, RCOND, RCONDC + REAL ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ) @@ -224,7 +224,7 @@ * .. * .. External Subroutines .. EXTERNAL ALAERH, ALAHD, ALASUM, XLAENV, CERRHE, CGET04, - $ ZHECON, CHERFS, CHET01, CHETRF_AA, ZHETRI2, + $ ZHECON, CHERFS, CHET01_AA, CHETRF_AA, ZHETRI2, $ CHETRS_AA, CLACPY, CLAIPD, CLARHS, CLATB4, $ CLATMS, CPOT02, ZPOT03, ZPOT05 * .. @@ -431,10 +431,10 @@ * the block structure of D. AINV is a work array for * block factorization, LWORK is the length of AINV. * - LWORK = ( NB+1 )*LDA + LWORK = MAX( 1, ( NB+1 )*LDA ) SRNAMT = 'CHETRF_AA' CALL CHETRF_AA( UPLO, N, AFAC, LDA, IWORK, AINV, - $ LWORK, INFO ) + $ LWORK, INFO ) * * Adjust the expected value of INFO to account for * pivoting. @@ -464,19 +464,11 @@ $ NOUT ) END IF * -* Set the condition estimate flag if the INFO is not 0. -* - IF( INFO.NE.0 ) THEN - TRFCON = .TRUE. - ELSE - TRFCON = .FALSE. - END IF -* *+ TEST 1 * Reconstruct matrix from factors and compute residual. * CALL CHET01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK, - $ AINV, LDA, RWORK, RESULT( 1 ) ) + $ AINV, LDA, RWORK, RESULT( 1 ) ) NT = 1 * * @@ -494,10 +486,9 @@ 110 CONTINUE NRUN = NRUN + NT * -* Do only the condition estimate if INFO is not 0. +* Skip solver test if INFO is not 0. * - IF( TRFCON ) THEN - RCONDC = ZERO + IF( INFO.NE.0 ) THEN GO TO 140 END IF * @@ -506,7 +497,7 @@ DO 130 IRHS = 1, NNS NRHS = NSVAL( IRHS ) * -*+ TEST 3 (Using TRS) +*+ TEST 2 (Using TRS) * Solve and compute residual for A * X = B. * * Choose a set of NRHS random solution vectors @@ -519,9 +510,9 @@ CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) * SRNAMT = 'CHETRS_AA' - LWORK = 3*N-2 + LWORK = MAX( 1, 3*N-2 ) CALL CHETRS_AA( UPLO, N, NRHS, AFAC, LDA, IWORK, - $ X, LDA, WORK, LWORK, INFO ) + $ X, LDA, WORK, LWORK, INFO ) * * Check error code from CHETRS and handle error. * diff --git a/TESTING/LIN/cchksy_aa.f b/TESTING/LIN/cchksy_aa.f new file mode 100644 index 00000000..534be92f --- /dev/null +++ b/TESTING/LIN/cchksy_aa.f @@ -0,0 +1,572 @@ +*> \brief \b CCHKSY_AA +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE CCHKSY_AA( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, +* THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, +* XACT, WORK, RWORK, IWORK, NOUT ) +* +* .. Scalar Arguments .. +* LOGICAL TSTERR +* INTEGER NMAX, NN, NNB, NNS, NOUT +* REAL THRESH +* .. +* .. Array Arguments .. +* LOGICAL DOTYPE( * ) +* INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) +* COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), +* $ RWORK( * ), WORK( * ), X( * ), XACT( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> CCHKSY_AA tests CSYTRF_AA, -TRS_AA. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] DOTYPE +*> \verbatim +*> DOTYPE is LOGICAL array, dimension (NTYPES) +*> The matrix types to be used for testing. Matrices of type j +*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = +*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. +*> \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] NNB +*> \verbatim +*> NNB is INTEGER +*> The number of values of NB contained in the vector NBVAL. +*> \endverbatim +*> +*> \param[in] NBVAL +*> \verbatim +*> NBVAL is INTEGER array, dimension (NBVAL) +*> The values of the blocksize NB. +*> \endverbatim +*> +*> \param[in] NNS +*> \verbatim +*> NNS is INTEGER +*> The number of values of NRHS contained in the vector NSVAL. +*> \endverbatim +*> +*> \param[in] NSVAL +*> \verbatim +*> NSVAL is INTEGER array, dimension (NNS) +*> The values of the number of right hand sides NRHS. +*> \endverbatim +*> +*> \param[in] THRESH +*> \verbatim +*> THRESH is REAL +*> 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[in] TSTERR +*> \verbatim +*> TSTERR is LOGICAL +*> Flag that indicates whether error exits are to be tested. +*> \endverbatim +*> +*> \param[in] NMAX +*> \verbatim +*> NMAX is INTEGER +*> The maximum value permitted for N, used in dimensioning the +*> work arrays. +*> \endverbatim +*> +*> \param[out] A +*> \verbatim +*> A is REAL array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AFAC +*> \verbatim +*> AFAC is REAL array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AINV +*> \verbatim +*> AINV is REAL array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] B +*> \verbatim +*> B is REAL array, dimension (NMAX*NSMAX) +*> where NSMAX is the largest entry in NSVAL. +*> \endverbatim +*> +*> \param[out] X +*> \verbatim +*> X is REAL array, dimension (NMAX*NSMAX) +*> \endverbatim +*> +*> \param[out] XACT +*> \verbatim +*> XACT is REAL array, dimension (NMAX*NSMAX) +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is REAL array, dimension (NMAX*max(3,NSMAX)) +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is REAL array, dimension (max(NMAX,2*NSMAX)) +*> \endverbatim +*> +*> \param[out] IWORK +*> \verbatim +*> IWORK is INTEGER array, dimension (2*NMAX) +*> \endverbatim +*> +*> \param[in] NOUT +*> \verbatim +*> NOUT is INTEGER +*> The unit number for output. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2016 +* +* @generated from LIN/dchksy_aa.f, fortran d -> c, Wed Nov 16 21:34:18 2016 +* +*> \ingroup complex_lin +* +* ===================================================================== + SUBROUTINE CCHKSY_AA( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, + $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, + $ X, XACT, WORK, RWORK, IWORK, NOUT ) +* +* -- LAPACK test routine (version 3.7.0) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2016 +* + IMPLICIT NONE +* +* .. Scalar Arguments .. + LOGICAL TSTERR + INTEGER NN, NNB, NNS, NMAX, NOUT + REAL THRESH +* .. +* .. Array Arguments .. + LOGICAL DOTYPE( * ) + INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) + REAL RWORK( * ) + COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), + $ WORK( * ), X( * ), XACT( * ) +* .. +* +* ===================================================================== +* +* .. Parameters .. + REAL ZERO + PARAMETER ( ZERO = 0.0D+0 ) + COMPLEX CZERO + PARAMETER ( CZERO = 0.0E+0 ) + INTEGER NTYPES + PARAMETER ( NTYPES = 10 ) + INTEGER NTESTS + PARAMETER ( NTESTS = 9 ) +* .. +* .. Local Scalars .. + LOGICAL ZEROT + CHARACTER DIST, TYPE, UPLO, XTYPE + CHARACTER*3 PATH, MATPATH + INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS, + $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE, + $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT + REAL ANORM, CNDNUM +* .. +* .. Local Arrays .. + CHARACTER UPLOS( 2 ) + INTEGER ISEED( 4 ), ISEEDY( 4 ) + REAL RESULT( NTESTS ) +* .. +* .. External Functions .. + REAL DGET06, CLANSY + EXTERNAL DGET06, CLANSY +* .. +* .. External Subroutines .. + EXTERNAL ALAERH, ALAHD, ALASUM, CERRSY, CGET04, CLACPY, + $ CLARHS, CLATB4, CLATMS, CSYT02, DSYT03, DSYT05, + $ DSYCON, CSYRFS, CSYT01_AA, CSYTRF_AA, + $ DSYTRI2, CSYTRS_AA, XLAENV +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. +* .. Scalars in Common .. + LOGICAL LERR, OK + CHARACTER*32 SRNAMT + INTEGER INFOT, NUNIT +* .. +* .. Common blocks .. + COMMON / INFOC / INFOT, NUNIT, OK, LERR + COMMON / SRNAMC / SRNAMT +* .. +* .. Data statements .. + DATA ISEEDY / 1988, 1989, 1990, 1991 / + DATA UPLOS / 'U', 'L' / +* .. +* .. Executable Statements .. +* +* Initialize constants and the random number seed. +* +* Test path +* + PATH( 1: 1 ) = 'Complex precision' + PATH( 2: 3 ) = 'SA' +* +* Path to generate matrices +* + MATPATH( 1: 1 ) = 'Complex precision' + MATPATH( 2: 3 ) = 'SY' + NRUN = 0 + NFAIL = 0 + NERRS = 0 + DO 10 I = 1, 4 + ISEED( I ) = ISEEDY( I ) + 10 CONTINUE +* +* Test the error exits +* + IF( TSTERR ) + $ CALL CERRSY( PATH, NOUT ) + INFOT = 0 +* +* Set the minimum block size for which the block routine should +* be used, which will be later returned by ILAENV +* + CALL XLAENV( 2, 2 ) +* +* Do for each value of N in NVAL +* + DO 180 IN = 1, NN + N = NVAL( IN ) + IF( N .GT. NMAX ) THEN + NFAIL = NFAIL + 1 + WRITE(NOUT, 9995) 'M ', N, NMAX + GO TO 180 + END IF + LDA = MAX( N, 1 ) + XTYPE = 'N' + NIMAT = NTYPES + IF( N.LE.0 ) + $ NIMAT = 1 +* + IZERO = 0 +* +* Do for each value of matrix type IMAT +* + DO 170 IMAT = 1, NIMAT +* +* Do the tests only if DOTYPE( IMAT ) is true. +* + IF( .NOT.DOTYPE( IMAT ) ) + $ GO TO 170 +* +* Skip types 3, 4, 5, or 6 if the matrix size is too small. +* + ZEROT = IMAT.GE.3 .AND. IMAT.LE.6 + IF( ZEROT .AND. N.LT.IMAT-2 ) + $ GO TO 170 +* +* Do first for UPLO = 'U', then for UPLO = 'L' +* + DO 160 IUPLO = 1, 2 + UPLO = UPLOS( IUPLO ) +* +* Begin generate the test matrix A. +* +* +* Set up parameters with CLATB4 for the matrix generator +* based on the type of matrix to be generated. +* + CALL CLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, + $ ANORM, MODE, CNDNUM, DIST ) +* +* Generate a matrix with CLATMS. +* + SRNAMT = 'CLATMS' + CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, + $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK, + $ INFO ) +* +* Check error code from CLATMS and handle error. +* + IF( INFO.NE.0 ) THEN + CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N, -1, + $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) +* +* Skip all tests for this generated matrix +* + GO TO 160 + END IF +* +* For matrix types 3-6, zero one or more rows and +* columns of the matrix to test that INFO is returned +* correctly. +* + IF( ZEROT ) THEN + IF( IMAT.EQ.3 ) THEN + IZERO = 1 + ELSE IF( IMAT.EQ.4 ) THEN + IZERO = N + ELSE + IZERO = N / 2 + 1 + END IF +* + IF( IMAT.LT.6 ) THEN +* +* Set row and column IZERO to zero. +* + IF( IUPLO.EQ.1 ) THEN + IOFF = ( IZERO-1 )*LDA + DO 20 I = 1, IZERO - 1 + A( IOFF+I ) = CZERO + 20 CONTINUE + IOFF = IOFF + IZERO + DO 30 I = IZERO, N + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 30 CONTINUE + ELSE + IOFF = IZERO + DO 40 I = 1, IZERO - 1 + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 40 CONTINUE + IOFF = IOFF - IZERO + DO 50 I = IZERO, N + A( IOFF+I ) = CZERO + 50 CONTINUE + END IF + ELSE + IF( IUPLO.EQ.1 ) THEN +* +* Set the first IZERO rows and columns to zero. +* + IOFF = 0 + DO 70 J = 1, N + I2 = MIN( J, IZERO ) + DO 60 I = 1, I2 + A( IOFF+I ) = CZERO + 60 CONTINUE + IOFF = IOFF + LDA + 70 CONTINUE + IZERO = 1 + ELSE +* +* Set the last IZERO rows and columns to zero. +* + IOFF = 0 + DO 90 J = 1, N + I1 = MAX( J, IZERO ) + DO 80 I = I1, N + A( IOFF+I ) = CZERO + 80 CONTINUE + IOFF = IOFF + LDA + 90 CONTINUE + END IF + END IF + ELSE + IZERO = 0 + END IF +* +* End generate the test matrix A. +* +* Do for each value of NB in NBVAL +* + DO 150 INB = 1, NNB +* +* Set the optimal blocksize, which will be later +* returned by ILAENV. +* + NB = NBVAL( INB ) + CALL XLAENV( 1, NB ) +* +* Copy the test matrix A into matrix AFAC which +* will be factorized in place. This is needed to +* preserve the test matrix A for subsequent tests. +* + CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) +* +* Compute the L*D*L**T or U*D*U**T factorization of the +* matrix. IWORK stores details of the interchanges and +* the block structure of D. AINV is a work array for +* block factorization, LWORK is the length of AINV. +* + SRNAMT = 'CSYTRF_AA' + LWORK = MAX( 1, N*NB + N ) + CALL CSYTRF_AA( UPLO, N, AFAC, LDA, IWORK, AINV, + $ 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 CSYTRF and handle error. +* + IF( INFO.NE.K ) THEN + CALL ALAERH( PATH, 'CSYTRF_AA', INFO, K, UPLO, + $ N, N, -1, -1, NB, IMAT, NFAIL, NERRS, + $ NOUT ) + END IF +* +*+ TEST 1 +* Reconstruct matrix from factors and compute residual. +* + CALL CSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK, + $ AINV, LDA, RWORK, RESULT( 1 ) ) + NT = 1 +* +* +* 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 ALAHD( NOUT, PATH ) + WRITE( NOUT, FMT = 9999 )UPLO, N, NB, IMAT, K, + $ RESULT( K ) + NFAIL = NFAIL + 1 + END IF + 110 CONTINUE + NRUN = NRUN + NT +* +* Skip solver test if INFO is not 0. +* + IF( INFO.NE.0 ) THEN + GO TO 140 + END IF +* +* Do for each value of NRHS in NSVAL. +* + DO 130 IRHS = 1, NNS + NRHS = NSVAL( IRHS ) +* +*+ TEST 2 (Using TRS) +* Solve and compute residual for A * X = B. +* +* Choose a set of NRHS random solution vectors +* stored in XACT and set up the right hand side B +* + SRNAMT = 'CLARHS' + CALL CLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, + $ KL, KU, NRHS, A, LDA, XACT, LDA, + $ B, LDA, ISEED, INFO ) + CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) +* + SRNAMT = 'CSYTRS_AA' + LWORK = MAX( 1, 3*N-2 ) + CALL CSYTRS_AA( UPLO, N, NRHS, AFAC, LDA, + $ IWORK, X, LDA, WORK, LWORK, + $ INFO ) +* +* Check error code from CSYTRS and handle error. +* + IF( INFO.NE.0 ) THEN + CALL ALAERH( PATH, 'CSYTRS_AA', INFO, 0, + $ UPLO, N, N, -1, -1, NRHS, IMAT, + $ NFAIL, NERRS, NOUT ) + END IF +* + CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) +* +* Compute the residual for the solution +* + CALL CSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, + $ LDA, RWORK, RESULT( 2 ) ) +* +* +* Print information about the tests that did not pass +* the threshold. +* + DO 120 K = 2, 2 + IF( RESULT( K ).GE.THRESH ) THEN + IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) + $ CALL ALAHD( NOUT, PATH ) + WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS, + $ IMAT, K, RESULT( K ) + NFAIL = NFAIL + 1 + END IF + 120 CONTINUE + NRUN = NRUN + 1 +* +* End do for each value of NRHS in NSVAL. +* + 130 CONTINUE + 140 CONTINUE + 150 CONTINUE + 160 CONTINUE + 170 CONTINUE + 180 CONTINUE +* +* Print a summary of the results. +* + CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) +* + 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NB =', I4, ', type ', + $ I2, ', test ', I2, ', ratio =', G12.5 ) + 9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ', + $ I2, ', test(', I2, ') =', G12.5 ) + 9995 FORMAT( ' Invalid input value: ', A4, '=', I6, '; must be <=', + $ I6 ) + RETURN +* +* End of CCHKSY_AA +* + END diff --git a/TESTING/LIN/cdrvhe_aa.f b/TESTING/LIN/cdrvhe_aa.f index 38ebca59..4e4f73bb 100644 --- a/TESTING/LIN/cdrvhe_aa.f +++ b/TESTING/LIN/cdrvhe_aa.f @@ -9,8 +9,8 @@ * =========== * * SUBROUTINE CDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, -* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, -* NOUT ) +* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, +* NOUT ) * * .. Scalar Arguments .. * LOGICAL TSTERR @@ -186,9 +186,9 @@ CHARACTER DIST, FACT, TYPE, UPLO, XTYPE CHARACTER*3 MATPATH, PATH INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, - $ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N, + $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT - REAL AINVNM, ANORM, CNDNUM, RCOND, RCONDC + REAL ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER FACTS( NFACT ), UPLOS( 2 ) @@ -385,45 +385,6 @@ * FACT = FACTS( IFACT ) * -* Compute the condition number for comparison with -* the value returned by CHESVX. -* - IF( ZEROT ) THEN - IF( IFACT.EQ.1 ) - $ GO TO 150 - RCONDC = ZERO -* - ELSE IF( IFACT.EQ.1 ) THEN -* -* Compute the 1-norm of A. -* - ANORM = CLANHE( '1', UPLO, N, A, LDA, RWORK ) -* -* Factor the matrix A. -* -c CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) -c SRNAMT = 'CHETRF_AA' -c CALL CHETRF_AA( UPLO, N, AFAC, LDA, IWORK, -c $ WORK, LWORK, INFO ) -* -* Compute inv(A) and take its norm. -* -c CALL CLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) -c LWORK = (N+NB+1)*(NB+3) -c SRNAMT = 'CHETRI2' -c CALL CHETRI2( UPLO, N, AINV, LDA, IWORK, WORK, -c $ LWORK, INFO ) -c AINVNM = CLANHE( '1', UPLO, N, AINV, LDA, RWORK ) -* -* Compute the 1-norm condition number of A. -* -c IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN -c RCONDC = ONE -c ELSE -c RCONDC = ( ONE / ANORM ) / AINVNM -c END IF - END IF -* * Form an exact solution and set the right hand side. * SRNAMT = 'CLARHS' @@ -487,12 +448,7 @@ c END IF CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, $ LDA, RWORK, RESULT( 2 ) ) -* -* Check solution from generated exact solution. -* - CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, - $ RESULT( 3 ) ) - NT = 3 + NT = 2 * * Print information about the tests that did not pass * the threshold. diff --git a/TESTING/LIN/cdrvsy_aa.f b/TESTING/LIN/cdrvsy_aa.f new file mode 100644 index 00000000..69a4e556 --- /dev/null +++ b/TESTING/LIN/cdrvsy_aa.f @@ -0,0 +1,480 @@ +*> \brief \b CDRVSY_AA +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE CDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, +* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, +* NOUT ) +* +* .. Scalar Arguments .. +* LOGICAL TSTERR +* INTEGER NMAX, NN, NOUT, NRHS +* REAL THRESH +* .. +* .. Array Arguments .. +* LOGICAL DOTYPE( * ) +* INTEGER IWORK( * ), NVAL( * ) +* REAL RWORK( * ) +* COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), +* $ WORK( * ), X( * ), XACT( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> CDRVSY_AA tests the driver routine CSYSV_AA. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] DOTYPE +*> \verbatim +*> DOTYPE is LOGICAL array, dimension (NTYPES) +*> The matrix types to be used for testing. Matrices of type j +*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = +*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. +*> \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] NRHS +*> \verbatim +*> NRHS is INTEGER +*> The number of right hand side vectors to be generated for +*> each linear system. +*> \endverbatim +*> +*> \param[in] THRESH +*> \verbatim +*> THRESH is REAL +*> 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[in] TSTERR +*> \verbatim +*> TSTERR is LOGICAL +*> Flag that indicates whether error exits are to be tested. +*> \endverbatim +*> +*> \param[in] NMAX +*> \verbatim +*> NMAX is INTEGER +*> The maximum value permitted for N, used in dimensioning the +*> work arrays. +*> \endverbatim +*> +*> \param[out] A +*> \verbatim +*> A is REAL array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AFAC +*> \verbatim +*> AFAC is REAL array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AINV +*> \verbatim +*> AINV is REAL array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] B +*> \verbatim +*> B is REAL array, dimension (NMAX*NRHS) +*> \endverbatim +*> +*> \param[out] X +*> \verbatim +*> X is REAL array, dimension (NMAX*NRHS) +*> \endverbatim +*> +*> \param[out] XACT +*> \verbatim +*> XACT is REAL array, dimension (NMAX*NRHS) +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is REAL array, dimension (NMAX*max(2,NRHS)) +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is REAL array, dimension (NMAX+2*NRHS) +*> \endverbatim +*> +*> \param[out] IWORK +*> \verbatim +*> IWORK is INTEGER array, dimension (2*NMAX) +*> \endverbatim +*> +*> \param[in] NOUT +*> \verbatim +*> NOUT is INTEGER +*> The unit number for output. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2016 +* +* @generated from LIN/ddrvsy_aa.f, fortran d -> c, Thu Nov 17 12:14:51 2016 +* +*> \ingroup complex_lin +* +* ===================================================================== + SUBROUTINE CDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, + $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, + $ RWORK, IWORK, NOUT ) +* +* -- LAPACK test routine (version 3.7.0) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2016 +* +* .. Scalar Arguments .. + LOGICAL TSTERR + INTEGER NMAX, NN, NOUT, NRHS + REAL THRESH +* .. +* .. Array Arguments .. + LOGICAL DOTYPE( * ) + INTEGER IWORK( * ), NVAL( * ) + REAL RWORK( * ) + COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), + $ WORK( * ), X( * ), XACT( * ) +* .. +* +* ===================================================================== +* +* .. Parameters .. + REAL ZERO + PARAMETER ( ZERO = 0.0D+0 ) + COMPLEX CZERO + PARAMETER ( CZERO = 0.0E+0 ) + INTEGER NTYPES, NTESTS + PARAMETER ( NTYPES = 10, NTESTS = 3 ) + INTEGER NFACT + PARAMETER ( NFACT = 2 ) +* .. +* .. Local Scalars .. + LOGICAL ZEROT + CHARACTER DIST, FACT, TYPE, UPLO, XTYPE + CHARACTER*3 MATPATH, PATH + INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, + $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, + $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT + REAL ANORM, CNDNUM +* .. +* .. Local Arrays .. + CHARACTER FACTS( NFACT ), UPLOS( 2 ) + INTEGER ISEED( 4 ), ISEEDY( 4 ) + REAL RESULT( NTESTS ) +* .. +* .. External Functions .. + REAL DGET06, CLANSY + EXTERNAL DGET06, CLANSY +* .. +* .. External Subroutines .. + EXTERNAL ALADHD, ALAERH, ALASVM, DERRVX, CGET04, CLACPY, + $ CLARHS, CLASET, CLATB4, CLATMS, CSYT02, DSYT05, + $ CSYSV_AA, CSYT01_AA, CSYTRF_AA, XLAENV +* .. +* .. Scalars in Common .. + LOGICAL LERR, OK + CHARACTER*32 SRNAMT + INTEGER INFOT, NUNIT +* .. +* .. Common blocks .. + COMMON / INFOC / INFOT, NUNIT, OK, LERR + COMMON / SRNAMC / SRNAMT +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. +* .. Data statements .. + DATA ISEEDY / 1988, 1989, 1990, 1991 / + DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' / +* .. +* .. Executable Statements .. +* +* Initialize constants and the random number seed. +* +* Test path +* + PATH( 1: 1 ) = 'Complex precision' + PATH( 2: 3 ) = 'SA' +* +* Path to generate matrices +* + MATPATH( 1: 1 ) = 'Complex precision' + MATPATH( 2: 3 ) = 'SY' +* + NRUN = 0 + NFAIL = 0 + NERRS = 0 + DO 10 I = 1, 4 + ISEED( I ) = ISEEDY( I ) + 10 CONTINUE + LWORK = MAX( 2*NMAX, NMAX*NRHS ) +* +* Test the error exits +* + IF( TSTERR ) + $ CALL CERRVX( PATH, NOUT ) + INFOT = 0 +* +* Set the block size and minimum block size for testing. +* + NB = 1 + NBMIN = 2 + CALL XLAENV( 1, NB ) + CALL XLAENV( 2, NBMIN ) +* +* Do for each value of N in NVAL +* + DO 180 IN = 1, NN + N = NVAL( IN ) + LDA = MAX( N, 1 ) + XTYPE = 'N' + NIMAT = NTYPES + IF( N.LE.0 ) + $ NIMAT = 1 +* + DO 170 IMAT = 1, NIMAT +* +* Do the tests only if DOTYPE( IMAT ) is true. +* + IF( .NOT.DOTYPE( IMAT ) ) + $ GO TO 170 +* +* Skip types 3, 4, 5, or 6 if the matrix size is too small. +* + ZEROT = IMAT.GE.3 .AND. IMAT.LE.6 + IF( ZEROT .AND. N.LT.IMAT-2 ) + $ GO TO 170 +* +* Do first for UPLO = 'U', then for UPLO = 'L' +* + DO 160 IUPLO = 1, 2 + UPLO = UPLOS( IUPLO ) +* +* Set up parameters with CLATB4 and generate a test matrix +* with CLATMS. +* + CALL CLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM, + $ MODE, CNDNUM, DIST ) +* + SRNAMT = 'CLATMS' + CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, + $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK, + $ INFO ) +* +* Check error code from CLATMS. +* + IF( INFO.NE.0 ) THEN + CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N, -1, + $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) + GO TO 160 + END IF +* +* For types 3-6, zero one or more rows and columns of the +* matrix to test that INFO is returned correctly. +* + IF( ZEROT ) THEN + IF( IMAT.EQ.3 ) THEN + IZERO = 1 + ELSE IF( IMAT.EQ.4 ) THEN + IZERO = N + ELSE + IZERO = N / 2 + 1 + END IF +* + IF( IMAT.LT.6 ) THEN +* +* Set row and column IZERO to zero. +* + IF( IUPLO.EQ.1 ) THEN + IOFF = ( IZERO-1 )*LDA + DO 20 I = 1, IZERO - 1 + A( IOFF+I ) = CZERO + 20 CONTINUE + IOFF = IOFF + IZERO + DO 30 I = IZERO, N + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 30 CONTINUE + ELSE + IOFF = IZERO + DO 40 I = 1, IZERO - 1 + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 40 CONTINUE + IOFF = IOFF - IZERO + DO 50 I = IZERO, N + A( IOFF+I ) = CZERO + 50 CONTINUE + END IF + ELSE + IOFF = 0 + IF( IUPLO.EQ.1 ) THEN +* +* Set the first IZERO rows and columns to zero. +* + DO 70 J = 1, N + I2 = MIN( J, IZERO ) + DO 60 I = 1, I2 + A( IOFF+I ) = CZERO + 60 CONTINUE + IOFF = IOFF + LDA + 70 CONTINUE + IZERO = 1 + ELSE +* +* Set the last IZERO rows and columns to zero. +* + DO 90 J = 1, N + I1 = MAX( J, IZERO ) + DO 80 I = I1, N + A( IOFF+I ) = CZERO + 80 CONTINUE + IOFF = IOFF + LDA + 90 CONTINUE + END IF + END IF + ELSE + IZERO = 0 + END IF +* + DO 150 IFACT = 1, NFACT +* +* 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 CSYSV_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 CSYSV_AA. +* + SRNAMT = 'CSYSV_AA' + CALL CSYSV_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 CSYSV_AA . +* + IF( INFO.NE.K ) THEN + CALL ALAERH( PATH, 'CSYSV_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 CSYT01_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 CSYT02( 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 )'CSYSV_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 CDRVSY_AA +* + END diff --git a/TESTING/LIN/cerrhe.f b/TESTING/LIN/cerrhe.f index 3711b8e3..2bc50c0d 100644 --- a/TESTING/LIN/cerrhe.f +++ b/TESTING/LIN/cerrhe.f @@ -488,6 +488,12 @@ INFOT = 4 CALL CHETRF_AA( 'U', 2, A, 1, IP, W, 4, INFO ) CALL CHKXER( 'CHETRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHETRF_AA( 'U', 0, A, 1, IP, W, 0, INFO ) + CALL CHKXER( 'CHETRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CHETRF_AA( 'U', 0, A, 1, IP, W, -2, INFO ) + CALL CHKXER( 'CHETRF_AA', INFOT, NOUT, LERR, OK ) * * CHETRS_AA * @@ -507,6 +513,12 @@ INFOT = 8 CALL CHETRS_AA( 'U', 2, 1, A, 2, IP, B, 1, W, 1, INFO ) CALL CHKXER( 'CHETRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHETRS_AA( 'U', 0, 1, A, 1, IP, B, 1, W, 0, INFO ) + CALL CHKXER( 'CHETRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CHETRS_AA( 'U', 0, 1, A, 1, IP, B, 1, W, -2, INFO ) + CALL CHKXER( 'CHETRS_AA', INFOT, NOUT, LERR, OK ) * * Test error exits of the routines that use factorization * of a Hermitian indefinite packed matrix with patrial diff --git a/TESTING/LIN/cerrsy.f b/TESTING/LIN/cerrsy.f index c7613bd6..e4bdc1dd 100644 --- a/TESTING/LIN/cerrsy.f +++ b/TESTING/LIN/cerrsy.f @@ -547,6 +547,56 @@ INFOT = 5 CALL CSPCON( 'U', 1, A, IP, -ANRM, RCOND, W, INFO ) CALL CHKXER( 'CSPCON', INFOT, NOUT, LERR, OK ) +* + ELSE IF( LSAMEN( 2, C2, 'SA' ) ) THEN +* +* Test error exits of the routines that use factorization +* of a symmetric indefinite matrix with Aasen's algorithm +* +* CSYTRF_AA +* + SRNAMT = 'CSYTRF_AA' + INFOT = 1 + CALL CSYTRF_AA( '/', 0, A, 1, IP, W, 1, INFO ) + CALL CHKXER( 'CSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CSYTRF_AA( 'U', -1, A, 1, IP, W, 1, INFO ) + CALL CHKXER( 'CSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL CSYTRF_AA( 'U', 2, A, 1, IP, W, 4, INFO ) + CALL CHKXER( 'CSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYTRF_AA( 'U', 0, A, 1, IP, W, 0, INFO ) + CALL CHKXER( 'CSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL CSYTRF_AA( 'U', 0, A, 1, IP, W, -2, INFO ) + CALL CHKXER( 'CSYTRF_AA', INFOT, NOUT, LERR, OK ) +* +* CSYTRS_AA +* + SRNAMT = 'CSYTRS_AA' + INFOT = 1 + CALL CSYTRS_AA( '/', 0, 0, A, 1, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL CSYTRS_AA( 'U', -1, 0, A, 1, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL CSYTRS_AA( 'U', 0, -1, A, 1, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL CSYTRS_AA( 'U', 2, 1, A, 1, IP, B, 2, W, 1, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL CSYTRS_AA( 'U', 2, 1, A, 2, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CSYTRS_AA( 'U', 0, 1, A, 1, IP, B, 1, W, 0, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL CSYTRS_AA( 'U', 0, 1, A, 1, IP, B, 1, W, -2, INFO ) + CALL CHKXER( 'CSYTRS_AA', INFOT, NOUT, LERR, OK ) +* END IF * * Print a summary line. diff --git a/TESTING/LIN/chet01_aa.f b/TESTING/LIN/chet01_aa.f index 8f797f11..31b504d2 100644 --- a/TESTING/LIN/chet01_aa.f +++ b/TESTING/LIN/chet01_aa.f @@ -9,17 +9,17 @@ * =========== * * SUBROUTINE CHET01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, -* C, LDC, RWORK, RESID ) +* C, LDC, RWORK, RESID ) * * .. Scalar Arguments .. * CHARACTER UPLO * INTEGER LDA, LDAFAC, LDC, N -* COMPLEX RESID +* REAL RESID * .. * .. Array Arguments .. * INTEGER IPIV( * ) -* COMPLEX A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ), -* $ RWORK( * ) +* REAL RWORK( * ) +* COMPLEX A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) * .. * * @@ -123,7 +123,7 @@ * * ===================================================================== SUBROUTINE CHET01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, - $ LDC, RWORK, RESID ) + $ LDC, RWORK, RESID ) * * -- LAPACK test routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- @@ -137,8 +137,8 @@ * .. * .. Array Arguments .. INTEGER IPIV( * ) - COMPLEX A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ), - $ RWORK( * ) + REAL RWORK( * ) + COMPLEX A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) * .. * * ===================================================================== @@ -197,27 +197,29 @@ $ LDC+1 ) CALL CLACGV( N-1, C( 1, 2 ), LDC+1 ) ENDIF - ENDIF * -* Call CTRMM to form the product U' * D (or L * D ). +* Call CTRMM to form the product U' * D (or L * D ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL CTRMM( 'Left', UPLO, 'Conjugate transpose', 'Unit', N-1, - $ N, CONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) - ELSE - CALL CTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, - $ CONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL CTRMM( 'Left', UPLO, 'Conjugate transpose', 'Unit', + $ N-1, N, CONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), + $ LDC ) + ELSE + CALL CTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, + $ CONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) + END IF * -* Call CTRMM again to multiply by U (or L ). +* Call CTRMM again to multiply by U (or L ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL CTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, - $ CONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) - ELSE - CALL CTRMM( 'Right', UPLO, 'Conjugate transpose', 'Unit', N, - $ N-1, CONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL CTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, + $ CONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) + ELSE + CALL CTRMM( 'Right', UPLO, 'Conjugate transpose', 'Unit', N, + $ N-1, CONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), + $ LDC ) + END IF + ENDIF * * Apply hermitian pivots * diff --git a/TESTING/LIN/csyt01_aa.f b/TESTING/LIN/csyt01_aa.f new file mode 100644 index 00000000..7c7382a3 --- /dev/null +++ b/TESTING/LIN/csyt01_aa.f @@ -0,0 +1,265 @@ +*> \brief \b CSYT01 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE CSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, +* RWORK, RESID ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER LDA, LDAFAC, LDC, N +* REAL RESID +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* REAL RWORK( * ) +* COMPLEX A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> CSYT01 reconstructs a hermitian indefinite matrix A from its +*> block L*D*L' or U*D*U' factorization and computes the residual +*> norm( C - A ) / ( N * norm(A) * EPS ), +*> where C is the reconstructed matrix and EPS is the machine epsilon. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> Specifies whether the upper or lower triangular part of the +*> hermitian matrix A is stored: +*> = 'U': Upper triangular +*> = 'L': Lower triangular +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of rows and columns of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is REAL array, dimension (LDA,N) +*> The original hermitian matrix A. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,N) +*> \endverbatim +*> +*> \param[in] AFAC +*> \verbatim +*> AFAC is REAL array, dimension (LDAFAC,N) +*> The factored form of the matrix A. AFAC contains the block +*> diagonal matrix D and the multipliers used to obtain the +*> factor L or U from the block L*D*L' or U*D*U' factorization +*> as computed by CSYTRF. +*> \endverbatim +*> +*> \param[in] LDAFAC +*> \verbatim +*> LDAFAC is INTEGER +*> The leading dimension of the array AFAC. LDAFAC >= max(1,N). +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> The pivot indices from CSYTRF. +*> \endverbatim +*> +*> \param[out] C +*> \verbatim +*> C is REAL array, dimension (LDC,N) +*> \endverbatim +*> +*> \param[in] LDC +*> \verbatim +*> LDC is INTEGER +*> The leading dimension of the array C. LDC >= max(1,N). +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is REAL array, dimension (N) +*> \endverbatim +*> +*> \param[out] RESID +*> \verbatim +*> RESID is REAL +*> If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS ) +*> If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS ) +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2016 +* +* @generated from LIN/dsyt01_aa.f, fortran d -> c, Thu Nov 17 13:01:50 2016 +* +*> \ingroup complex_lin +* +* ===================================================================== + SUBROUTINE CSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, + $ LDC, RWORK, RESID ) +* +* -- LAPACK test routine (version 3.5.0) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2016 +* +* .. Scalar Arguments .. + CHARACTER UPLO + INTEGER LDA, LDAFAC, LDC, N + REAL RESID +* .. +* .. Array Arguments .. + INTEGER IPIV( * ) + COMPLEX A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) + REAL RWORK( * ) +* .. +* +* ===================================================================== +* +* .. Parameters .. + REAL ZERO, ONE + PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) + COMPLEX CZERO, CONE + PARAMETER ( CZERO = 0.0E+0, CONE = 1.0E+0 ) +* .. +* .. Local Scalars .. + INTEGER I, J + REAL ANORM, EPS +* .. +* .. External Functions .. + LOGICAL LSAME + REAL SLAMCH, CLANSY + EXTERNAL LSAME, SLAMCH, CLANSY +* .. +* .. External Subroutines .. + EXTERNAL CLASET, CLAVSY +* .. +* .. Intrinsic Functions .. + INTRINSIC DBLE +* .. +* .. Executable Statements .. +* +* Quick exit if N = 0. +* + IF( N.LE.0 ) THEN + RESID = ZERO + RETURN + END IF +* +* Determine EPS and the norm of A. +* + EPS = SLAMCH( 'Epsilon' ) + ANORM = CLANSY( '1', UPLO, N, A, LDA, RWORK ) +* +* Initialize C to the tridiagonal matrix T. +* + CALL CLASET( 'Full', N, N, CZERO, CZERO, C, LDC ) + CALL CLACPY( 'F', 1, N, AFAC( 1, 1 ), LDAFAC+1, C( 1, 1 ), LDC+1 ) + IF( N.GT.1 ) THEN + IF( LSAME( UPLO, 'U' ) ) THEN + CALL CLACPY( 'F', 1, N-1, AFAC( 1, 2 ), LDAFAC+1, C( 1, 2 ), + $ LDC+1 ) + CALL CLACPY( 'F', 1, N-1, AFAC( 1, 2 ), LDAFAC+1, C( 2, 1 ), + $ LDC+1 ) + ELSE + CALL CLACPY( 'F', 1, N-1, AFAC( 2, 1 ), LDAFAC+1, C( 1, 2 ), + $ LDC+1 ) + CALL CLACPY( 'F', 1, N-1, AFAC( 2, 1 ), LDAFAC+1, C( 2, 1 ), + $ LDC+1 ) + ENDIF +* +* Call CTRMM to form the product U' * D (or L * D ). +* + IF( LSAME( UPLO, 'U' ) ) THEN + CALL CTRMM( 'Left', UPLO, 'Transpose', 'Unit', N-1, N, + $ CONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) + ELSE + CALL CTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, + $ CONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) + END IF +* +* Call CTRMM again to multiply by U (or L ). +* + IF( LSAME( UPLO, 'U' ) ) THEN + CALL CTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, + $ CONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) + ELSE + CALL CTRMM( 'Right', UPLO, 'Transpose', 'Unit', N, N-1, + $ CONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) + END IF + ENDIF +* +* Apply symmetric pivots +* + DO J = N, 1, -1 + I = IPIV( J ) + IF( I.NE.J ) + $ CALL CSWAP( N, C( J, 1 ), LDC, C( I, 1 ), LDC ) + END DO + DO J = N, 1, -1 + I = IPIV( J ) + IF( I.NE.J ) + $ CALL CSWAP( N, C( 1, J ), 1, C( 1, I ), 1 ) + END DO +* +* +* Compute the difference C - A . +* + IF( LSAME( UPLO, 'U' ) ) THEN + DO J = 1, N + DO I = 1, J + C( I, J ) = C( I, J ) - A( I, J ) + END DO + END DO + ELSE + DO J = 1, N + DO I = J, N + C( I, J ) = C( I, J ) - A( I, J ) + END DO + END DO + END IF +* +* Compute norm( C - A ) / ( N * norm(A) * EPS ) +* + RESID = CLANSY( '1', UPLO, N, C, LDC, RWORK ) +* + IF( ANORM.LE.ZERO ) THEN + IF( RESID.NE.ZERO ) + $ RESID = ONE / EPS + ELSE + RESID = ( ( RESID / DBLE( N ) ) / ANORM ) / EPS + END IF +* + RETURN +* +* End of CSYT01 +* + END diff --git a/TESTING/LIN/dchksy_aa.f b/TESTING/LIN/dchksy_aa.f index a596bcb9..a01f4fa0 100644 --- a/TESTING/LIN/dchksy_aa.f +++ b/TESTING/LIN/dchksy_aa.f @@ -163,6 +163,7 @@ * *> \date November 2016 * +* @precisions fortran d -> z c * *> \ingroup double_lin * @@ -201,13 +202,13 @@ PARAMETER ( NTESTS = 9 ) * .. * .. Local Scalars .. - LOGICAL TRFCON, ZEROT + LOGICAL ZEROT CHARACTER DIST, TYPE, UPLO, XTYPE CHARACTER*3 PATH, MATPATH INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS, $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE, $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT - DOUBLE PRECISION ANORM, CNDNUM, RCONDC + DOUBLE PRECISION ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ) @@ -221,7 +222,7 @@ * .. External Subroutines .. EXTERNAL ALAERH, ALAHD, ALASUM, DERRSY, DGET04, DLACPY, $ DLARHS, DLATB4, DLATMS, DPOT02, DPOT03, DPOT05, - $ DSYCON, DSYRFS, DSYT01, DSYTRF_AA, + $ DSYCON, DSYRFS, DSYT01_AA, DSYTRF_AA, $ DSYTRI2, DSYTRS_AA, XLAENV * .. * .. Intrinsic Functions .. @@ -429,9 +430,9 @@ * block factorization, LWORK is the length of AINV. * SRNAMT = 'DSYTRF_AA' - LWORK = N*NB + N + LWORK = MAX( 1, N*NB + N ) CALL DSYTRF_AA( UPLO, N, AFAC, LDA, IWORK, AINV, - $ LWORK, INFO ) + $ LWORK, INFO ) * * Adjust the expected value of INFO to account for * pivoting. @@ -461,19 +462,11 @@ $ NOUT ) END IF * -* Set the condition estimate flag if the INFO is not 0. -* - IF( INFO.NE.0 ) THEN - TRFCON = .TRUE. - ELSE - TRFCON = .FALSE. - END IF -* *+ TEST 1 * Reconstruct matrix from factors and compute residual. * CALL DSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK, - $ AINV, LDA, RWORK, RESULT( 1 ) ) + $ AINV, LDA, RWORK, RESULT( 1 ) ) NT = 1 * * @@ -491,10 +484,9 @@ 110 CONTINUE NRUN = NRUN + NT * -* Do only the condition estimate if INFO is not 0. +* Skip solver test if INFO is not 0. * - IF( TRFCON ) THEN - RCONDC = ZERO + IF( INFO.NE.0 ) THEN GO TO 140 END IF * @@ -503,7 +495,7 @@ DO 130 IRHS = 1, NNS NRHS = NSVAL( IRHS ) * -*+ TEST 3 ( Using TRS) +*+ TEST 2 (Using TRS) * Solve and compute residual for A * X = B. * * Choose a set of NRHS random solution vectors @@ -516,10 +508,10 @@ CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) * SRNAMT = 'DSYTRS_AA' - LWORK = 3*N-2 + LWORK = MAX( 1, 3*N-2 ) CALL DSYTRS_AA( UPLO, N, NRHS, AFAC, LDA, - $ IWORK, X, LDA, WORK, LWORK, - $ INFO ) + $ IWORK, X, LDA, WORK, LWORK, + $ INFO ) * * Check error code from DSYTRS and handle error. * diff --git a/TESTING/LIN/ddrvsy_aa.f b/TESTING/LIN/ddrvsy_aa.f index be5d6eb3..25a58292 100644 --- a/TESTING/LIN/ddrvsy_aa.f +++ b/TESTING/LIN/ddrvsy_aa.f @@ -9,8 +9,8 @@ * =========== * * SUBROUTINE DDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, -* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, -* NOUT ) +* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, +* NOUT ) * * .. Scalar Arguments .. * LOGICAL TSTERR @@ -145,12 +145,14 @@ * *> \date November 2016 * +* @precisions fortran d -> z c +* *> \ingroup double_lin * * ===================================================================== SUBROUTINE DDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, - $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, - $ RWORK, IWORK, NOUT ) + $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, + $ RWORK, IWORK, NOUT ) * * -- LAPACK test routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- @@ -184,9 +186,9 @@ CHARACTER DIST, FACT, TYPE, UPLO, XTYPE CHARACTER*3 MATPATH, PATH INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, - $ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N, + $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT - DOUBLE PRECISION AINVNM, ANORM, CNDNUM, RCOND, RCONDC + DOUBLE PRECISION ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER FACTS( NFACT ), UPLOS( 2 ) @@ -374,44 +376,6 @@ * FACT = FACTS( IFACT ) * -* Compute the condition number for comparison with -* the value returned by DSYSVX. -* - IF( ZEROT ) THEN - IF( IFACT.EQ.1 ) - $ GO TO 150 - RCONDC = ZERO -* - ELSE IF( IFACT.EQ.1 ) THEN -* -* Compute the 1-norm of A. -* - ANORM = DLANSY( '1', UPLO, N, A, LDA, RWORK ) -* -* Factor the matrix A. -* -c CALL DLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) -c CALL DSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK, -c $ LWORK, INFO ) -* -* Compute inv(A) and take its norm. -* -c CALL DLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) -c LWORK = (N+NB+1)*(NB+3) -c SRNAMT = 'DSYTRI2' -c CALL DSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK, -c $ LWORK, INFO ) -c AINVNM = DLANSY( '1', UPLO, N, AINV, LDA, RWORK ) -* -* Compute the 1-norm condition number of A. -* -c IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN -c RCONDC = ONE -c ELSE -c RCONDC = ( ONE / ANORM ) / AINVNM -c END IF - END IF -* * Form an exact solution and set the right hand side. * SRNAMT = 'DLARHS' @@ -475,12 +439,7 @@ c END IF CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) CALL DPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, $ LDA, RWORK, RESULT( 2 ) ) -* -* Check solution from generated exact solution. -* - CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, - $ RESULT( 3 ) ) - NT = 3 + NT = 2 * * Print information about the tests that did not pass * the threshold. diff --git a/TESTING/LIN/derrsy.f b/TESTING/LIN/derrsy.f index 056e931b..7fe74de3 100644 --- a/TESTING/LIN/derrsy.f +++ b/TESTING/LIN/derrsy.f @@ -493,6 +493,12 @@ INFOT = 4 CALL DSYTRF_AA( 'U', 2, A, 1, IP, W, 4, INFO ) CALL CHKXER( 'DSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYTRF_AA( 'U', 0, A, 1, IP, W, 0, INFO ) + CALL CHKXER( 'DSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL DSYTRF_AA( 'U', 0, A, 1, IP, W, -2, INFO ) + CALL CHKXER( 'DSYTRF_AA', INFOT, NOUT, LERR, OK ) * * DSYTRS_AA * @@ -512,6 +518,12 @@ INFOT = 8 CALL DSYTRS_AA( 'U', 2, 1, A, 2, IP, B, 1, W, 1, INFO ) CALL CHKXER( 'DSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYTRS_AA( 'U', 0, 1, A, 2, IP, B, 1, W, 0, INFO ) + CALL CHKXER( 'DSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL DSYTRS_AA( 'U', 0, 1, A, 2, IP, B, 1, W, -2, INFO ) + CALL CHKXER( 'DSYTRS_AA', INFOT, NOUT, LERR, OK ) * ELSE IF( LSAMEN( 2, C2, 'SP' ) ) THEN * diff --git a/TESTING/LIN/dsyt01_aa.f b/TESTING/LIN/dsyt01_aa.f index bc30df38..3a704de3 100644 --- a/TESTING/LIN/dsyt01_aa.f +++ b/TESTING/LIN/dsyt01_aa.f @@ -8,8 +8,8 @@ * Definition: * =========== * -* SUBROUTINE DSYT01( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, -* RWORK, RESID ) +* SUBROUTINE DSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, +* RWORK, RESID ) * * .. Scalar Arguments .. * CHARACTER UPLO @@ -118,7 +118,7 @@ * *> \date November 2016 * -* @precisions fortran d -> s +* @precisions fortran d -> z c * *> \ingroup double_lin * @@ -193,27 +193,27 @@ CALL DLACPY( 'F', 1, N-1, AFAC( 2, 1 ), LDAFAC+1, C( 2, 1 ), $ LDC+1 ) ENDIF - ENDIF * -* Call DTRMM to form the product U' * D (or L * D ). +* Call DTRMM to form the product U' * D (or L * D ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL DTRMM( 'Left', UPLO, 'Transpose', 'Unit', N-1, N, - $ ONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) - ELSE - CALL DTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, - $ ONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL DTRMM( 'Left', UPLO, 'Transpose', 'Unit', N-1, N, + $ ONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) + ELSE + CALL DTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, + $ ONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) + END IF * -* Call DTRMM again to multiply by U (or L ). +* Call DTRMM again to multiply by U (or L ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL DTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, - $ ONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) - ELSE - CALL DTRMM( 'Right', UPLO, 'Transpose', 'Unit', N, N-1, - $ ONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL DTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, + $ ONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) + ELSE + CALL DTRMM( 'Right', UPLO, 'Transpose', 'Unit', N, N-1, + $ ONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) + END IF + ENDIF * * Apply symmetric pivots * diff --git a/TESTING/LIN/schksy_aa.f b/TESTING/LIN/schksy_aa.f index 0f668723..ee00fdb0 100644 --- a/TESTING/LIN/schksy_aa.f +++ b/TESTING/LIN/schksy_aa.f @@ -163,6 +163,7 @@ * *> \date November 2016 * +* @precisions fortran d -> z c * *> \ingroup real_lin * @@ -201,13 +202,13 @@ PARAMETER ( NTESTS = 9 ) * .. * .. Local Scalars .. - LOGICAL TRFCON, ZEROT + LOGICAL ZEROT CHARACTER DIST, TYPE, UPLO, XTYPE CHARACTER*3 PATH, MATPATH INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS, $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE, $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT - REAL ANORM, CNDNUM, RCONDC + REAL ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ) @@ -430,9 +431,9 @@ * block factorization, LWORK is the length of AINV. * SRNAMT = 'SSYTRF_AA' - LWORK = N*NB + N + LWORK = MAX( 1, N*NB + N ) CALL SSYTRF_AA( UPLO, N, AFAC, LDA, IWORK, AINV, - $ LWORK, INFO ) + $ LWORK, INFO ) * * Adjust the expected value of INFO to account for * pivoting. @@ -462,19 +463,11 @@ $ NOUT ) END IF * -* Set the condition estimate flag if the INFO is not 0. -* - IF( INFO.NE.0 ) THEN - TRFCON = .TRUE. - ELSE - TRFCON = .FALSE. - END IF -* *+ TEST 1 * Reconstruct matrix from factors and compute residual. * CALL SSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK, - $ AINV, LDA, RWORK, RESULT( 1 ) ) + $ AINV, LDA, RWORK, RESULT( 1 ) ) NT = 1 * * @@ -492,10 +485,9 @@ 110 CONTINUE NRUN = NRUN + NT * -* Do only the condition estimate if INFO is not 0. +* Skip solver test if INFO is not 0. * - IF( TRFCON ) THEN - RCONDC = ZERO + IF( INFO.NE.0 ) THEN GO TO 140 END IF * @@ -504,7 +496,7 @@ DO 130 IRHS = 1, NNS NRHS = NSVAL( IRHS ) * -*+ TEST 3 ( Using TRS) +*+ TEST 2 (Using TRS) * Solve and compute residual for A * X = B. * * Choose a set of NRHS random solution vectors @@ -517,10 +509,10 @@ CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) * SRNAMT = 'SSYTRS_AA' - LWORK = 3*N-2 + LWORK = MAX( 1, 3*N-2 ) CALL SSYTRS_AA( UPLO, N, NRHS, AFAC, LDA, - $ IWORK, X, LDA, WORK, LWORK, - $ INFO ) + $ IWORK, X, LDA, WORK, LWORK, + $ INFO ) * * Check error code from SSYTRS and handle error. * diff --git a/TESTING/LIN/sdrvsy_aa.f b/TESTING/LIN/sdrvsy_aa.f index 3fef3c70..da5cf8a2 100644 --- a/TESTING/LIN/sdrvsy_aa.f +++ b/TESTING/LIN/sdrvsy_aa.f @@ -9,8 +9,8 @@ * =========== * * SUBROUTINE SDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, -* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, -* NOUT ) +* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, +* NOUT ) * * .. Scalar Arguments .. * LOGICAL TSTERR @@ -149,8 +149,8 @@ * * ===================================================================== SUBROUTINE SDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, - $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, - $ RWORK, IWORK, NOUT ) + $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, + $ RWORK, IWORK, NOUT ) * * -- LAPACK test routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- @@ -184,9 +184,9 @@ CHARACTER DIST, FACT, TYPE, UPLO, XTYPE CHARACTER*3 MATPATH, PATH INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, - $ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N, + $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT - REAL AINVNM, ANORM, CNDNUM, RCOND, RCONDC + REAL ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER FACTS( NFACT ), UPLOS( 2 ) @@ -374,44 +374,6 @@ * FACT = FACTS( IFACT ) * -* Compute the condition number for comparison with -* the value returned by SSYSVX. -* - IF( ZEROT ) THEN - IF( IFACT.EQ.1 ) - $ GO TO 150 - RCONDC = ZERO -* - ELSE IF( IFACT.EQ.1 ) THEN -* -* Compute the 1-norm of A. -* - ANORM = SLANSY( '1', UPLO, N, A, LDA, RWORK ) -* -* Factor the matrix A. -* -c CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) -c CALL SSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK, -c $ LWORK, INFO ) -* -* Compute inv(A) and take its norm. -* -c CALL SLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) -c LWORK = (N+NB+1)*(NB+3) -c SRNAMT = 'DSYTRI2' -c CALL DSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK, -c $ LWORK, INFO ) -c AINVNM = SLANSY( '1', UPLO, N, AINV, LDA, RWORK ) -* -* Compute the 1-norm condition number of A. -* -c IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN -c RCONDC = ONE -c ELSE -c RCONDC = ( ONE / ANORM ) / AINVNM -c END IF - END IF -* * Form an exact solution and set the right hand side. * SRNAMT = 'SLARHS' @@ -475,12 +437,7 @@ c END IF CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, $ LDA, RWORK, RESULT( 2 ) ) -* -* Check solution from generated exact solution. -* - CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, - $ RESULT( 3 ) ) - NT = 3 + NT = 2 * * Print information about the tests that did not pass * the threshold. diff --git a/TESTING/LIN/serrsy.f b/TESTING/LIN/serrsy.f index bf69893a..25309611 100644 --- a/TESTING/LIN/serrsy.f +++ b/TESTING/LIN/serrsy.f @@ -92,7 +92,8 @@ $ SSYTF2_RK, SSYTF2_ROOK, SSYTRF, SSYTRF_RK, $ SSYTRF_ROOK, SSYTRI, SSYTF2, SSYTRI_3, $ SSYTRI_3X, SSYTRI_ROOK, SSYTRF_AA, SSYTRI2, - $ SYTRI2X, SSYTRS, SSYTRS_3, SSYTRS_ROOK, SSYTRS_AA + $ SYTRI2X, SSYTRS, SSYTRS_3, SSYTRS_ROOK, + $ SSYTRS_AA * .. * .. Scalars in Common .. LOGICAL LERR, OK @@ -492,6 +493,12 @@ INFOT = 4 CALL SSYTRF_AA( 'U', 2, A, 1, IP, W, 4, INFO ) CALL CHKXER( 'SSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYTRF_AA( 'U', 0, A, 1, IP, W, 0, INFO ) + CALL CHKXER( 'SSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL SSYTRF_AA( 'U', 0, A, 1, IP, W, -2, INFO ) + CALL CHKXER( 'SSYTRF_AA', INFOT, NOUT, LERR, OK ) * * SSYTRS_AA * @@ -511,6 +518,12 @@ INFOT = 8 CALL SSYTRS_AA( 'U', 2, 1, A, 2, IP, B, 1, W, 1, INFO ) CALL CHKXER( 'SSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYTRS_AA( 'U', 0, 1, A, 2, IP, B, 1, W, 0, INFO ) + CALL CHKXER( 'SSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL SSYTRS_AA( 'U', 0, 1, A, 2, IP, B, 1, W, -2, INFO ) + CALL CHKXER( 'SSYTRS_AA', INFOT, NOUT, LERR, OK ) * ELSE IF( LSAMEN( 2, C2, 'SP' ) ) THEN * diff --git a/TESTING/LIN/ssyt01_aa.f b/TESTING/LIN/ssyt01_aa.f index 0e72fa71..5855ba22 100644 --- a/TESTING/LIN/ssyt01_aa.f +++ b/TESTING/LIN/ssyt01_aa.f @@ -9,7 +9,7 @@ * =========== * * SUBROUTINE SSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, -* C, LDC, RWORK, RESID ) +* C, LDC, RWORK, RESID ) * * .. Scalar Arguments .. * CHARACTER UPLO @@ -123,7 +123,7 @@ * * ===================================================================== SUBROUTINE SSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, - $ LDC, RWORK, RESID ) + $ LDC, RWORK, RESID ) * * -- LAPACK test routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- @@ -144,7 +144,7 @@ * ===================================================================== * * .. Parameters .. - REAL ZERO, ONE + REAL ZERO, ONE PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 ) * .. * .. Local Scalars .. @@ -192,27 +192,27 @@ CALL SLACPY( 'F', 1, N-1, AFAC( 2, 1 ), LDAFAC+1, C( 2, 1 ), $ LDC+1 ) ENDIF - ENDIF * -* Call STRMM to form the product U' * D (or L * D ). +* Call STRMM to form the product U' * D (or L * D ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL STRMM( 'Left', UPLO, 'Transpose', 'Unit', N-1, N, - $ ONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) - ELSE - CALL STRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, - $ ONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL STRMM( 'Left', UPLO, 'Transpose', 'Unit', N-1, N, + $ ONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) + ELSE + CALL STRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, + $ ONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) + END IF * -* Call STRMM again to multiply by U (or L ). +* Call STRMM again to multiply by U (or L ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL STRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, - $ ONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) - ELSE - CALL STRMM( 'Right', UPLO, 'Transpose', 'Unit', N, N-1, - $ ONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL STRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, + $ ONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) + ELSE + CALL STRMM( 'Right', UPLO, 'Transpose', 'Unit', N, N-1, + $ ONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) + END IF + ENDIF * * Apply symmetric pivots * diff --git a/TESTING/LIN/zchkaa.f b/TESTING/LIN/zchkaa.f index f9be8451..818f1e63 100644 --- a/TESTING/LIN/zchkaa.f +++ b/TESTING/LIN/zchkaa.f @@ -165,11 +165,12 @@ $ ZCHKHE_ROOK, ZCHKHE_RK, ZCHKHE_AA, ZCHKHP, $ ZCHKLQ, ZCHKPB, ZCHKPO, ZCHKPS, ZCHKPP, ZCHKPT, $ ZCHKQ3, ZCHKQL, ZCHKQR, ZCHKRQ, ZCHKSP, ZCHKSY, - $ ZCHKSY_ROOK, ZCHKSY_RK, ZCHKTB, ZCHKTP, ZCHKTR, - $ ZCHKTZ, ZDRVGB, ZDRVGE, ZDRVGT, ZDRVHE, ZDRVHE_ROOK, - $ ZDRVHE_RK, ZDRVHE_AA, ZDRVHP, ZDRVLS, ZDRVPB, - $ ZDRVPO, ZDRVPP, ZDRVPT, ZDRVSP, ZDRVSY, ZDRVSY_ROOK, - $ ZDRVSY_RK, ILAVER, ZCHKQRT, ZCHKQRTP, ZCHKLQT, + $ ZCHKSY_ROOK, ZCHKSY_RK, ZCHKSY_AA, ZCHKTB, + $ ZCHKTP, ZCHKTR, ZCHKTZ, ZDRVGB, ZDRVGE, ZDRVGT, + $ ZDRVHE, ZDRVHE_ROOK, ZDRVHE_RK, ZDRVHE_AA, + $ ZDRVHP, ZDRVLS, ZDRVPB, ZDRVPO, ZDRVPP, ZDRVPT, + $ ZDRVSP, ZDRVSY, ZDRVSY_ROOK, ZDRVSY_RK, + $ ZDRVSY_AA, ILAVER, ZCHKQRT, ZCHKQRTP, ZCHKLQT, $ ZCHKLQTP, ZCHKTSQR * .. * .. Scalars in Common .. @@ -828,6 +829,33 @@ WRITE( NOUT, FMT = 9988 )PATH END IF * + ELSE IF( LSAMEN( 2, C2, 'SA' ) ) THEN +* +* SK: symmetric indefinite matrices, +* with bounded Bunch-Kaufman (rook) pivoting algorithm, +* differnet matrix storage format than SR path version. +* + NTYPES = 11 + CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT ) +* + IF( TSTCHK ) THEN + CALL ZCHKSY_AA( DOTYPE, NN, NVAL, NNB2, NBVAL2, NNS, NSVAL, + $ THRESH, TSTERR, LDA, A( 1, 1 ), A( 1, 2 ), + $ A( 1, 3 ), B( 1, 1 ), B( 1, 2 ), + $ B( 1, 3 ), WORK, RWORK, IWORK, NOUT ) + ELSE + WRITE( NOUT, FMT = 9989 )PATH + END IF +* + IF( TSTDRV ) THEN + CALL ZDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, + $ LDA, A( 1, 1 ), A( 1, 2 ), A( 1, 3 ), + $ B( 1, 1 ), B( 1, 2 ), B( 1, 3 ), WORK, + $ RWORK, IWORK, NOUT ) + ELSE + WRITE( NOUT, FMT = 9988 )PATH + END IF +* ELSE IF( LSAMEN( 2, C2, 'SP' ) ) THEN * * SP: symmetric indefinite packed matrices, diff --git a/TESTING/LIN/zchkhe_aa.f b/TESTING/LIN/zchkhe_aa.f index 20d595be..5cc4b9ef 100644 --- a/TESTING/LIN/zchkhe_aa.f +++ b/TESTING/LIN/zchkhe_aa.f @@ -205,13 +205,13 @@ PARAMETER ( NTESTS = 9 ) * .. * .. Local Scalars .. - LOGICAL TRFCON, ZEROT + LOGICAL ZEROT CHARACTER DIST, TYPE, UPLO, XTYPE CHARACTER*3 PATH, MATPATH INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS, $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE, $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT - DOUBLE PRECISION ANORM, CNDNUM, RCOND, RCONDC + DOUBLE PRECISION ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ) @@ -224,7 +224,7 @@ * .. * .. External Subroutines .. EXTERNAL ALAERH, ALAHD, ALASUM, XLAENV, ZERRHE, ZGET04, - $ ZHECON, ZHERFS, ZHET01, ZHETRF_AA, ZHETRI2, + $ ZHECON, ZHERFS, ZHET01_AA, ZHETRF_AA, ZHETRI2, $ ZHETRS_AA, ZLACPY, ZLAIPD, ZLARHS, ZLATB4, $ ZLATMS, ZPOT02, ZPOT03, ZPOT05 * .. @@ -430,10 +430,10 @@ * the block structure of D. AINV is a work array for * block factorization, LWORK is the length of AINV. * - LWORK = ( NB+1 )*LDA + LWORK = MAX( 1, ( NB+1 )*LDA ) SRNAMT = 'ZHETRF_AA' CALL ZHETRF_AA( UPLO, N, AFAC, LDA, IWORK, AINV, - $ LWORK, INFO ) + $ LWORK, INFO ) * * Adjust the expected value of INFO to account for * pivoting. @@ -463,19 +463,11 @@ $ NOUT ) END IF * -* Set the condition estimate flag if the INFO is not 0. -* - IF( INFO.NE.0 ) THEN - TRFCON = .TRUE. - ELSE - TRFCON = .FALSE. - END IF -* *+ TEST 1 * Reconstruct matrix from factors and compute residual. * CALL ZHET01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK, - $ AINV, LDA, RWORK, RESULT( 1 ) ) + $ AINV, LDA, RWORK, RESULT( 1 ) ) NT = 1 * * @@ -493,10 +485,9 @@ 110 CONTINUE NRUN = NRUN + NT * -* Do only the condition estimate if INFO is not 0. +* Skip solver test if INFO is not 0. * - IF( TRFCON ) THEN - RCONDC = ZERO + IF( INFO.NE.0 ) THEN GO TO 140 END IF * @@ -505,7 +496,7 @@ DO 130 IRHS = 1, NNS NRHS = NSVAL( IRHS ) * -*+ TEST 3 (Using TRS) +*+ TEST 2 (Using TRS) * Solve and compute residual for A * X = B. * * Choose a set of NRHS random solution vectors @@ -518,9 +509,9 @@ CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) * SRNAMT = 'ZHETRS_AA' - LWORK = 3*N-2 + LWORK = MAX( 1, 3*N-2 ) CALL ZHETRS_AA( UPLO, N, NRHS, AFAC, LDA, IWORK, - $ X, LDA, WORK, LWORK, INFO ) + $ X, LDA, WORK, LWORK, INFO ) * * Check error code from ZHETRS and handle error. * diff --git a/TESTING/LIN/zchksy_aa.f b/TESTING/LIN/zchksy_aa.f new file mode 100644 index 00000000..4c2cd041 --- /dev/null +++ b/TESTING/LIN/zchksy_aa.f @@ -0,0 +1,572 @@ +*> \brief \b ZCHKSY_AA +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE ZCHKSY_AA( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, +* THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, +* XACT, WORK, RWORK, IWORK, NOUT ) +* +* .. Scalar Arguments .. +* LOGICAL TSTERR +* INTEGER NMAX, NN, NNB, NNS, NOUT +* COMPLEX*16 THRESH +* .. +* .. Array Arguments .. +* LOGICAL DOTYPE( * ) +* INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) +* COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), +* $ RWORK( * ), WORK( * ), X( * ), XACT( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZCHKSY_AA tests ZSYTRF_AA, -TRS_AA. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] DOTYPE +*> \verbatim +*> DOTYPE is LOGICAL array, dimension (NTYPES) +*> The matrix types to be used for testing. Matrices of type j +*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = +*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. +*> \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] NNB +*> \verbatim +*> NNB is INTEGER +*> The number of values of NB contained in the vector NBVAL. +*> \endverbatim +*> +*> \param[in] NBVAL +*> \verbatim +*> NBVAL is INTEGER array, dimension (NBVAL) +*> The values of the blocksize NB. +*> \endverbatim +*> +*> \param[in] NNS +*> \verbatim +*> NNS is INTEGER +*> The number of values of NRHS contained in the vector NSVAL. +*> \endverbatim +*> +*> \param[in] NSVAL +*> \verbatim +*> NSVAL is INTEGER array, dimension (NNS) +*> The values of the number of right hand sides NRHS. +*> \endverbatim +*> +*> \param[in] THRESH +*> \verbatim +*> THRESH is COMPLEX*16 +*> 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[in] TSTERR +*> \verbatim +*> TSTERR is LOGICAL +*> Flag that indicates whether error exits are to be tested. +*> \endverbatim +*> +*> \param[in] NMAX +*> \verbatim +*> NMAX is INTEGER +*> The maximum value permitted for N, used in dimensioning the +*> work arrays. +*> \endverbatim +*> +*> \param[out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AFAC +*> \verbatim +*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AINV +*> \verbatim +*> AINV is COMPLEX*16 array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] B +*> \verbatim +*> B is COMPLEX*16 array, dimension (NMAX*NSMAX) +*> where NSMAX is the largest entry in NSVAL. +*> \endverbatim +*> +*> \param[out] X +*> \verbatim +*> X is COMPLEX*16 array, dimension (NMAX*NSMAX) +*> \endverbatim +*> +*> \param[out] XACT +*> \verbatim +*> XACT is COMPLEX*16 array, dimension (NMAX*NSMAX) +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (NMAX*max(3,NSMAX)) +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is COMPLEX*16 array, dimension (max(NMAX,2*NSMAX)) +*> \endverbatim +*> +*> \param[out] IWORK +*> \verbatim +*> IWORK is INTEGER array, dimension (2*NMAX) +*> \endverbatim +*> +*> \param[in] NOUT +*> \verbatim +*> NOUT is INTEGER +*> The unit number for output. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2016 +* +* @generated from LIN/dchksy_aa.f, fortran d -> z, Wed Nov 16 21:34:18 2016 +* +*> \ingroup complex16_lin +* +* ===================================================================== + SUBROUTINE ZCHKSY_AA( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, + $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, + $ X, XACT, WORK, RWORK, IWORK, NOUT ) +* +* -- LAPACK test routine (version 3.7.0) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2016 +* + IMPLICIT NONE +* +* .. Scalar Arguments .. + LOGICAL TSTERR + INTEGER NN, NNB, NNS, NMAX, NOUT + DOUBLE PRECISION THRESH +* .. +* .. Array Arguments .. + LOGICAL DOTYPE( * ) + INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) + DOUBLE PRECISION RWORK( * ) + COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), + $ WORK( * ), X( * ), XACT( * ) +* .. +* +* ===================================================================== +* +* .. Parameters .. + DOUBLE PRECISION ZERO + PARAMETER ( ZERO = 0.0D+0 ) + COMPLEX*16 CZERO + PARAMETER ( CZERO = 0.0E+0 ) + INTEGER NTYPES + PARAMETER ( NTYPES = 10 ) + INTEGER NTESTS + PARAMETER ( NTESTS = 9 ) +* .. +* .. Local Scalars .. + LOGICAL ZEROT + CHARACTER DIST, TYPE, UPLO, XTYPE + CHARACTER*3 PATH, MATPATH + INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS, + $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE, + $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT + DOUBLE PRECISION ANORM, CNDNUM +* .. +* .. Local Arrays .. + CHARACTER UPLOS( 2 ) + INTEGER ISEED( 4 ), ISEEDY( 4 ) + DOUBLE PRECISION RESULT( NTESTS ) +* .. +* .. External Functions .. + DOUBLE PRECISION DGET06, ZLANSY + EXTERNAL DGET06, ZLANSY +* .. +* .. External Subroutines .. + EXTERNAL ALAERH, ALAHD, ALASUM, ZERRSY, ZGET04, ZLACPY, + $ ZLARHS, ZLATB4, ZLATMS, ZSYT02, DSYT03, DSYT05, + $ DSYCON, ZSYRFS, ZSYT01_AA, ZSYTRF_AA, + $ DSYTRI2, ZSYTRS_AA, XLAENV +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. +* .. Scalars in Common .. + LOGICAL LERR, OK + CHARACTER*32 SRNAMT + INTEGER INFOT, NUNIT +* .. +* .. Common blocks .. + COMMON / INFOC / INFOT, NUNIT, OK, LERR + COMMON / SRNAMC / SRNAMT +* .. +* .. Data statements .. + DATA ISEEDY / 1988, 1989, 1990, 1991 / + DATA UPLOS / 'U', 'L' / +* .. +* .. Executable Statements .. +* +* Initialize constants and the random number seed. +* +* Test path +* + PATH( 1: 1 ) = 'Zomplex precision' + PATH( 2: 3 ) = 'SA' +* +* Path to generate matrices +* + MATPATH( 1: 1 ) = 'Zomplex precision' + MATPATH( 2: 3 ) = 'SY' + NRUN = 0 + NFAIL = 0 + NERRS = 0 + DO 10 I = 1, 4 + ISEED( I ) = ISEEDY( I ) + 10 CONTINUE +* +* Test the error exits +* + IF( TSTERR ) + $ CALL ZERRSY( PATH, NOUT ) + INFOT = 0 +* +* Set the minimum block size for which the block routine should +* be used, which will be later returned by ILAENV +* + CALL XLAENV( 2, 2 ) +* +* Do for each value of N in NVAL +* + DO 180 IN = 1, NN + N = NVAL( IN ) + IF( N .GT. NMAX ) THEN + NFAIL = NFAIL + 1 + WRITE(NOUT, 9995) 'M ', N, NMAX + GO TO 180 + END IF + LDA = MAX( N, 1 ) + XTYPE = 'N' + NIMAT = NTYPES + IF( N.LE.0 ) + $ NIMAT = 1 +* + IZERO = 0 +* +* Do for each value of matrix type IMAT +* + DO 170 IMAT = 1, NIMAT +* +* Do the tests only if DOTYPE( IMAT ) is true. +* + IF( .NOT.DOTYPE( IMAT ) ) + $ GO TO 170 +* +* Skip types 3, 4, 5, or 6 if the matrix size is too small. +* + ZEROT = IMAT.GE.3 .AND. IMAT.LE.6 + IF( ZEROT .AND. N.LT.IMAT-2 ) + $ GO TO 170 +* +* Do first for UPLO = 'U', then for UPLO = 'L' +* + DO 160 IUPLO = 1, 2 + UPLO = UPLOS( IUPLO ) +* +* Begin generate the test matrix A. +* +* +* Set up parameters with ZLATB4 for the matrix generator +* based on the type of matrix to be generated. +* + CALL ZLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, + $ ANORM, MODE, CNDNUM, DIST ) +* +* Generate a matrix with ZLATMS. +* + SRNAMT = 'ZLATMS' + CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, + $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK, + $ INFO ) +* +* Check error code from ZLATMS and handle error. +* + IF( INFO.NE.0 ) THEN + CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N, N, -1, + $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) +* +* Skip all tests for this generated matrix +* + GO TO 160 + END IF +* +* For matrix types 3-6, zero one or more rows and +* columns of the matrix to test that INFO is returned +* correctly. +* + IF( ZEROT ) THEN + IF( IMAT.EQ.3 ) THEN + IZERO = 1 + ELSE IF( IMAT.EQ.4 ) THEN + IZERO = N + ELSE + IZERO = N / 2 + 1 + END IF +* + IF( IMAT.LT.6 ) THEN +* +* Set row and column IZERO to zero. +* + IF( IUPLO.EQ.1 ) THEN + IOFF = ( IZERO-1 )*LDA + DO 20 I = 1, IZERO - 1 + A( IOFF+I ) = CZERO + 20 CONTINUE + IOFF = IOFF + IZERO + DO 30 I = IZERO, N + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 30 CONTINUE + ELSE + IOFF = IZERO + DO 40 I = 1, IZERO - 1 + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 40 CONTINUE + IOFF = IOFF - IZERO + DO 50 I = IZERO, N + A( IOFF+I ) = CZERO + 50 CONTINUE + END IF + ELSE + IF( IUPLO.EQ.1 ) THEN +* +* Set the first IZERO rows and columns to zero. +* + IOFF = 0 + DO 70 J = 1, N + I2 = MIN( J, IZERO ) + DO 60 I = 1, I2 + A( IOFF+I ) = CZERO + 60 CONTINUE + IOFF = IOFF + LDA + 70 CONTINUE + IZERO = 1 + ELSE +* +* Set the last IZERO rows and columns to zero. +* + IOFF = 0 + DO 90 J = 1, N + I1 = MAX( J, IZERO ) + DO 80 I = I1, N + A( IOFF+I ) = CZERO + 80 CONTINUE + IOFF = IOFF + LDA + 90 CONTINUE + END IF + END IF + ELSE + IZERO = 0 + END IF +* +* End generate the test matrix A. +* +* Do for each value of NB in NBVAL +* + DO 150 INB = 1, NNB +* +* Set the optimal blocksize, which will be later +* returned by ILAENV. +* + NB = NBVAL( INB ) + CALL XLAENV( 1, NB ) +* +* Copy the test matrix A into matrix AFAC which +* will be factorized in place. This is needed to +* preserve the test matrix A for subsequent tests. +* + CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) +* +* Compute the L*D*L**T or U*D*U**T factorization of the +* matrix. IWORK stores details of the interchanges and +* the block structure of D. AINV is a work array for +* block factorization, LWORK is the length of AINV. +* + SRNAMT = 'ZSYTRF_AA' + LWORK = MAX( 1, N*NB + N ) + CALL ZSYTRF_AA( UPLO, N, AFAC, LDA, IWORK, AINV, + $ 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 ZSYTRF and handle error. +* + IF( INFO.NE.K ) THEN + CALL ALAERH( PATH, 'ZSYTRF_AA', INFO, K, UPLO, + $ N, N, -1, -1, NB, IMAT, NFAIL, NERRS, + $ NOUT ) + END IF +* +*+ TEST 1 +* Reconstruct matrix from factors and compute residual. +* + CALL ZSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK, + $ AINV, LDA, RWORK, RESULT( 1 ) ) + NT = 1 +* +* +* 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 ALAHD( NOUT, PATH ) + WRITE( NOUT, FMT = 9999 )UPLO, N, NB, IMAT, K, + $ RESULT( K ) + NFAIL = NFAIL + 1 + END IF + 110 CONTINUE + NRUN = NRUN + NT +* +* Skip solver test if INFO is not 0. +* + IF( INFO.NE.0 ) THEN + GO TO 140 + END IF +* +* Do for each value of NRHS in NSVAL. +* + DO 130 IRHS = 1, NNS + NRHS = NSVAL( IRHS ) +* +*+ TEST 2 (Using TRS) +* Solve and compute residual for A * X = B. +* +* Choose a set of NRHS random solution vectors +* stored in XACT and set up the right hand side B +* + SRNAMT = 'ZLARHS' + CALL ZLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, + $ KL, KU, NRHS, A, LDA, XACT, LDA, + $ B, LDA, ISEED, INFO ) + CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) +* + SRNAMT = 'ZSYTRS_AA' + LWORK = MAX( 1, 3*N-2 ) + CALL ZSYTRS_AA( UPLO, N, NRHS, AFAC, LDA, + $ IWORK, X, LDA, WORK, LWORK, + $ INFO ) +* +* Check error code from ZSYTRS and handle error. +* + IF( INFO.NE.0 ) THEN + CALL ALAERH( PATH, 'ZSYTRS_AA', INFO, 0, + $ UPLO, N, N, -1, -1, NRHS, IMAT, + $ NFAIL, NERRS, NOUT ) + END IF +* + CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) +* +* Compute the residual for the solution +* + CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, + $ LDA, RWORK, RESULT( 2 ) ) +* +* +* Print information about the tests that did not pass +* the threshold. +* + DO 120 K = 2, 2 + IF( RESULT( K ).GE.THRESH ) THEN + IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) + $ CALL ALAHD( NOUT, PATH ) + WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS, + $ IMAT, K, RESULT( K ) + NFAIL = NFAIL + 1 + END IF + 120 CONTINUE + NRUN = NRUN + 1 +* +* End do for each value of NRHS in NSVAL. +* + 130 CONTINUE + 140 CONTINUE + 150 CONTINUE + 160 CONTINUE + 170 CONTINUE + 180 CONTINUE +* +* Print a summary of the results. +* + CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) +* + 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NB =', I4, ', type ', + $ I2, ', test ', I2, ', ratio =', G12.5 ) + 9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ', + $ I2, ', test(', I2, ') =', G12.5 ) + 9995 FORMAT( ' Invalid input value: ', A4, '=', I6, '; must be <=', + $ I6 ) + RETURN +* +* End of ZCHKSY_AA +* + END diff --git a/TESTING/LIN/zdrvhe_aa.f b/TESTING/LIN/zdrvhe_aa.f index 3a43cf79..3b59395a 100644 --- a/TESTING/LIN/zdrvhe_aa.f +++ b/TESTING/LIN/zdrvhe_aa.f @@ -9,8 +9,8 @@ * =========== * * SUBROUTINE ZDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, -* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, -* NOUT ) +* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, +* NOUT ) * * .. Scalar Arguments .. * LOGICAL TSTERR @@ -186,9 +186,9 @@ CHARACTER DIST, FACT, TYPE, UPLO, XTYPE CHARACTER*3 MATPATH, PATH INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, - $ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N, + $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT - DOUBLE PRECISION AINVNM, ANORM, CNDNUM, RCOND, RCONDC + DOUBLE PRECISION ANORM, CNDNUM * .. * .. Local Arrays .. CHARACTER FACTS( NFACT ), UPLOS( 2 ) @@ -202,8 +202,8 @@ * .. External Subroutines .. EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, ZERRVX, ZGET04, $ ZHESV_AA, ZHET01_AA, ZHETRF_AA, - $ ZHETRI2, ZLACPY, ZLAIPD, ZLARHS, ZLATB4, ZLATMS, - $ ZPOT02 + $ ZHETRI2, ZLACPY, ZLAIPD, ZLARHS, ZLATB4, + $ ZLATMS, ZPOT02 * .. * .. Scalars in Common .. LOGICAL LERR, OK @@ -383,43 +383,6 @@ * FACT = FACTS( IFACT ) * -* Compute the condition number for comparison with -* the value returned by ZHESVX. -* - IF( ZEROT ) THEN - IF( IFACT.EQ.1 ) - $ GO TO 150 - RCONDC = ZERO -* - ELSE IF( IFACT.EQ.1 ) THEN -* -* Compute the 1-norm of A. -* - ANORM = ZLANHE( '1', UPLO, N, A, LDA, RWORK ) -* -* Factor the matrix A. -* -c CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) -c CALL ZHETRF( UPLO, N, AFAC, LDA, IWORK, WORK, -c $ LWORK, INFO ) -* -* Compute inv(A) and take its norm. -* -c CALL ZLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) -c LWORK = (N+NB+1)*(NB+3) -c CALL ZHETRI2( UPLO, N, AINV, LDA, IWORK, WORK, -c $ LWORK, INFO ) -c AINVNM = ZLANHE( '1', UPLO, N, AINV, LDA, RWORK ) -* -* Compute the 1-norm condition number of A. -* -c IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN -c RCONDC = ONE -c ELSE -c RCONDC = ( ONE / ANORM ) / AINVNM -c END IF - END IF -* * Form an exact solution and set the right hand side. * SRNAMT = 'ZLARHS' @@ -483,12 +446,7 @@ c END IF CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) CALL ZPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, $ LDA, RWORK, RESULT( 2 ) ) -* -* Check solution from generated exact solution. -* - CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, - $ RESULT( 3 ) ) - NT = 3 + NT = 2 * * Print information about the tests that did not pass * the threshold. diff --git a/TESTING/LIN/zdrvsy_aa.f b/TESTING/LIN/zdrvsy_aa.f new file mode 100644 index 00000000..d0a9711b --- /dev/null +++ b/TESTING/LIN/zdrvsy_aa.f @@ -0,0 +1,480 @@ +*> \brief \b ZDRVSY_AA +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE ZDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, +* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, +* NOUT ) +* +* .. Scalar Arguments .. +* LOGICAL TSTERR +* INTEGER NMAX, NN, NOUT, NRHS +* DOUBLE PRECISION THRESH +* .. +* .. Array Arguments .. +* LOGICAL DOTYPE( * ) +* INTEGER IWORK( * ), NVAL( * ) +* DOUBLE PRECISION RWORK( * ) +* COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), +* $ WORK( * ), X( * ), XACT( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZDRVSY_AA tests the driver routine ZSYSV_AA. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] DOTYPE +*> \verbatim +*> DOTYPE is LOGICAL array, dimension (NTYPES) +*> The matrix types to be used for testing. Matrices of type j +*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = +*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. +*> \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] NRHS +*> \verbatim +*> NRHS is INTEGER +*> The number of right hand side vectors to be generated for +*> each linear system. +*> \endverbatim +*> +*> \param[in] THRESH +*> \verbatim +*> THRESH is COMPLEX*16 +*> 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[in] TSTERR +*> \verbatim +*> TSTERR is LOGICAL +*> Flag that indicates whether error exits are to be tested. +*> \endverbatim +*> +*> \param[in] NMAX +*> \verbatim +*> NMAX is INTEGER +*> The maximum value permitted for N, used in dimensioning the +*> work arrays. +*> \endverbatim +*> +*> \param[out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AFAC +*> \verbatim +*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] AINV +*> \verbatim +*> AINV is COMPLEX*16 array, dimension (NMAX*NMAX) +*> \endverbatim +*> +*> \param[out] B +*> \verbatim +*> B is COMPLEX*16 array, dimension (NMAX*NRHS) +*> \endverbatim +*> +*> \param[out] X +*> \verbatim +*> X is COMPLEX*16 array, dimension (NMAX*NRHS) +*> \endverbatim +*> +*> \param[out] XACT +*> \verbatim +*> XACT is COMPLEX*16 array, dimension (NMAX*NRHS) +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (NMAX*max(2,NRHS)) +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is COMPLEX*16 array, dimension (NMAX+2*NRHS) +*> \endverbatim +*> +*> \param[out] IWORK +*> \verbatim +*> IWORK is INTEGER array, dimension (2*NMAX) +*> \endverbatim +*> +*> \param[in] NOUT +*> \verbatim +*> NOUT is INTEGER +*> The unit number for output. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2016 +* +* @generated from LIN/ddrvsy_aa.f, fortran d -> z, Thu Nov 17 12:14:51 2016 +* +*> \ingroup complex16_lin +* +* ===================================================================== + SUBROUTINE ZDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, + $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, + $ RWORK, IWORK, NOUT ) +* +* -- LAPACK test routine (version 3.7.0) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2016 +* +* .. Scalar Arguments .. + LOGICAL TSTERR + INTEGER NMAX, NN, NOUT, NRHS + DOUBLE PRECISION THRESH +* .. +* .. Array Arguments .. + LOGICAL DOTYPE( * ) + INTEGER IWORK( * ), NVAL( * ) + DOUBLE PRECISION RWORK( * ) + COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), + $ WORK( * ), X( * ), XACT( * ) +* .. +* +* ===================================================================== +* +* .. Parameters .. + DOUBLE PRECISION ZERO + PARAMETER ( ZERO = 0.0D+0 ) + COMPLEX*16 CZERO + PARAMETER ( CZERO = 0.0E+0 ) + INTEGER NTYPES, NTESTS + PARAMETER ( NTYPES = 10, NTESTS = 3 ) + INTEGER NFACT + PARAMETER ( NFACT = 2 ) +* .. +* .. Local Scalars .. + LOGICAL ZEROT + CHARACTER DIST, FACT, TYPE, UPLO, XTYPE + CHARACTER*3 MATPATH, PATH + INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, + $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, + $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT + DOUBLE PRECISION ANORM, CNDNUM +* .. +* .. Local Arrays .. + CHARACTER FACTS( NFACT ), UPLOS( 2 ) + INTEGER ISEED( 4 ), ISEEDY( 4 ) + DOUBLE PRECISION RESULT( NTESTS ) +* .. +* .. External Functions .. + DOUBLE PRECISION DGET06, ZLANSY + EXTERNAL DGET06, ZLANSY +* .. +* .. External Subroutines .. + EXTERNAL ALADHD, ALAERH, ALASVM, DERRVX, ZGET04, ZLACPY, + $ ZLARHS, ZLASET, ZLATB4, ZLATMS, ZSYT02, DSYT05, + $ ZSYSV_AA, ZSYT01_AA, ZSYTRF_AA, XLAENV +* .. +* .. Scalars in Common .. + LOGICAL LERR, OK + CHARACTER*32 SRNAMT + INTEGER INFOT, NUNIT +* .. +* .. Common blocks .. + COMMON / INFOC / INFOT, NUNIT, OK, LERR + COMMON / SRNAMC / SRNAMT +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. +* .. Data statements .. + DATA ISEEDY / 1988, 1989, 1990, 1991 / + DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' / +* .. +* .. Executable Statements .. +* +* Initialize constants and the random number seed. +* +* Test path +* + PATH( 1: 1 ) = 'Zomplex precision' + PATH( 2: 3 ) = 'SA' +* +* Path to generate matrices +* + MATPATH( 1: 1 ) = 'Zomplex precision' + MATPATH( 2: 3 ) = 'SY' +* + NRUN = 0 + NFAIL = 0 + NERRS = 0 + DO 10 I = 1, 4 + ISEED( I ) = ISEEDY( I ) + 10 CONTINUE + LWORK = MAX( 2*NMAX, NMAX*NRHS ) +* +* Test the error exits +* + IF( TSTERR ) + $ CALL ZERRVX( PATH, NOUT ) + INFOT = 0 +* +* Set the block size and minimum block size for testing. +* + NB = 1 + NBMIN = 2 + CALL XLAENV( 1, NB ) + CALL XLAENV( 2, NBMIN ) +* +* Do for each value of N in NVAL +* + DO 180 IN = 1, NN + N = NVAL( IN ) + LDA = MAX( N, 1 ) + XTYPE = 'N' + NIMAT = NTYPES + IF( N.LE.0 ) + $ NIMAT = 1 +* + DO 170 IMAT = 1, NIMAT +* +* Do the tests only if DOTYPE( IMAT ) is true. +* + IF( .NOT.DOTYPE( IMAT ) ) + $ GO TO 170 +* +* Skip types 3, 4, 5, or 6 if the matrix size is too small. +* + ZEROT = IMAT.GE.3 .AND. IMAT.LE.6 + IF( ZEROT .AND. N.LT.IMAT-2 ) + $ GO TO 170 +* +* Do first for UPLO = 'U', then for UPLO = 'L' +* + DO 160 IUPLO = 1, 2 + UPLO = UPLOS( IUPLO ) +* +* Set up parameters with ZLATB4 and generate a test matrix +* with ZLATMS. +* + CALL ZLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM, + $ MODE, CNDNUM, DIST ) +* + SRNAMT = 'ZLATMS' + CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, + $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK, + $ INFO ) +* +* Check error code from ZLATMS. +* + IF( INFO.NE.0 ) THEN + CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N, N, -1, + $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) + GO TO 160 + END IF +* +* For types 3-6, zero one or more rows and columns of the +* matrix to test that INFO is returned correctly. +* + IF( ZEROT ) THEN + IF( IMAT.EQ.3 ) THEN + IZERO = 1 + ELSE IF( IMAT.EQ.4 ) THEN + IZERO = N + ELSE + IZERO = N / 2 + 1 + END IF +* + IF( IMAT.LT.6 ) THEN +* +* Set row and column IZERO to zero. +* + IF( IUPLO.EQ.1 ) THEN + IOFF = ( IZERO-1 )*LDA + DO 20 I = 1, IZERO - 1 + A( IOFF+I ) = CZERO + 20 CONTINUE + IOFF = IOFF + IZERO + DO 30 I = IZERO, N + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 30 CONTINUE + ELSE + IOFF = IZERO + DO 40 I = 1, IZERO - 1 + A( IOFF ) = CZERO + IOFF = IOFF + LDA + 40 CONTINUE + IOFF = IOFF - IZERO + DO 50 I = IZERO, N + A( IOFF+I ) = CZERO + 50 CONTINUE + END IF + ELSE + IOFF = 0 + IF( IUPLO.EQ.1 ) THEN +* +* Set the first IZERO rows and columns to zero. +* + DO 70 J = 1, N + I2 = MIN( J, IZERO ) + DO 60 I = 1, I2 + A( IOFF+I ) = CZERO + 60 CONTINUE + IOFF = IOFF + LDA + 70 CONTINUE + IZERO = 1 + ELSE +* +* Set the last IZERO rows and columns to zero. +* + DO 90 J = 1, N + I1 = MAX( J, IZERO ) + DO 80 I = I1, N + A( IOFF+I ) = CZERO + 80 CONTINUE + IOFF = IOFF + LDA + 90 CONTINUE + END IF + END IF + ELSE + IZERO = 0 + END IF +* + DO 150 IFACT = 1, NFACT +* +* Do first for FACT = 'F', then for other values. +* + FACT = FACTS( IFACT ) +* +* Form an exact solution and set the right hand side. +* + SRNAMT = 'ZLARHS' + CALL ZLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, KL, KU, + $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED, + $ INFO ) + XTYPE = 'C' +* +* --- Test ZSYSV_AA --- +* + IF( IFACT.EQ.2 ) THEN + CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) + CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) +* +* Factor the matrix and solve the system using ZSYSV_AA. +* + SRNAMT = 'ZSYSV_AA' + CALL ZSYSV_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 ZSYSV_AA . +* + IF( INFO.NE.K ) THEN + CALL ALAERH( PATH, 'ZSYSV_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 ZSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, + $ IWORK, AINV, LDA, RWORK, + $ RESULT( 1 ) ) +* +* Compute residual of the computed solution. +* + CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) + CALL ZSYT02( 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 )'ZSYSV_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 ZDRVSY_AA +* + END diff --git a/TESTING/LIN/zerrhe.f b/TESTING/LIN/zerrhe.f index b6304b1c..d15b2cf4 100644 --- a/TESTING/LIN/zerrhe.f +++ b/TESTING/LIN/zerrhe.f @@ -93,7 +93,8 @@ $ ZHETRF_RK, ZHETRF_ROOK, ZHETRF_AA, ZHETRI, $ ZHETRI_3, ZHETRI_3X, ZHETRI_ROOK, ZHETRI2, $ ZHETRI2X, ZHETRS, ZHETRS_3, ZHETRS_ROOK, - $ ZHETRS_AA, ZHPCON, ZHPRFS, ZHPTRF, ZHPTRI, ZHPTRS + $ ZHETRS_AA, ZHPCON, ZHPRFS, ZHPTRF, ZHPTRI, + $ ZHPTRS * .. * .. Scalars in Common .. LOGICAL LERR, OK @@ -489,6 +490,12 @@ INFOT = 4 CALL ZHETRF_AA( 'U', 2, A, 1, IP, W, 4, INFO ) CALL CHKXER( 'ZHETRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHETRF_AA( 'U', 0, A, 1, IP, W, 0, INFO ) + CALL CHKXER( 'ZHETRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZHETRF_AA( 'U', 0, A, 1, IP, W, -2, INFO ) + CALL CHKXER( 'ZHETRF_AA', INFOT, NOUT, LERR, OK ) * * ZHETRS_AA * @@ -508,6 +515,12 @@ INFOT = 8 CALL ZHETRS_AA( 'U', 2, 1, A, 2, IP, B, 1, W, 1, INFO ) CALL CHKXER( 'ZHETRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHETRS_AA( 'U', 0, 1, A, 1, IP, B, 1, W, 0, INFO ) + CALL CHKXER( 'ZHETRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 10 + CALL ZHETRS_AA( 'U', 0, 1, A, 1, IP, B, 1, W, -2, INFO ) + CALL CHKXER( 'ZHETRS_AA', INFOT, NOUT, LERR, OK ) * ELSE IF( LSAMEN( 2, C2, 'HP' ) ) THEN * diff --git a/TESTING/LIN/zerrsy.f b/TESTING/LIN/zerrsy.f index 45e5f0c0..eb8bb628 100644 --- a/TESTING/LIN/zerrsy.f +++ b/TESTING/LIN/zerrsy.f @@ -549,6 +549,50 @@ INFOT = 5 CALL ZSPCON( 'U', 1, A, IP, -ANRM, RCOND, W, INFO ) CALL CHKXER( 'ZSPCON', INFOT, NOUT, LERR, OK ) +* + ELSE IF( LSAMEN( 2, C2, 'SA' ) ) THEN +* +* Test error exits of the routines that use factorization +* of a symmetric indefinite matrix with Aasen's algorithm. +* +* ZSYTRF_AA +* + SRNAMT = 'ZSYTRF_AA' + INFOT = 1 + CALL ZSYTRF_AA( '/', 0, A, 1, IP, W, 1, INFO ) + CALL CHKXER( 'ZSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZSYTRF_AA( 'U', -1, A, 1, IP, W, 1, INFO ) + CALL CHKXER( 'ZSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 4 + CALL ZSYTRF_AA( 'U', 2, A, 1, IP, W, 4, INFO ) + CALL CHKXER( 'ZSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYTRF_AA( 'U', 0, A, 1, IP, W, 0, INFO ) + CALL CHKXER( 'ZSYTRF_AA', INFOT, NOUT, LERR, OK ) + INFOT = 7 + CALL ZSYTRF_AA( 'U', 0, A, 1, IP, W, -2, INFO ) + CALL CHKXER( 'ZSYTRF_AA', INFOT, NOUT, LERR, OK ) +* +* ZSYTRS_AA +* + SRNAMT = 'ZSYTRS_AA' + INFOT = 1 + CALL ZSYTRS_AA( '/', 0, 0, A, 1, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'ZSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 2 + CALL ZSYTRS_AA( 'U', -1, 0, A, 1, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'ZSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 3 + CALL ZSYTRS_AA( 'U', 0, -1, A, 1, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'ZSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 5 + CALL ZSYTRS_AA( 'U', 2, 1, A, 1, IP, B, 2, W, 1, INFO ) + CALL CHKXER( 'ZSYTRS_AA', INFOT, NOUT, LERR, OK ) + INFOT = 8 + CALL ZSYTRS_AA( 'U', 2, 1, A, 2, IP, B, 1, W, 1, INFO ) + CALL CHKXER( 'ZSYTRS_AA', INFOT, NOUT, LERR, OK ) +* END IF * * Print a summary line. diff --git a/TESTING/LIN/zhet01_aa.f b/TESTING/LIN/zhet01_aa.f index d1328c88..c4734fcd 100644 --- a/TESTING/LIN/zhet01_aa.f +++ b/TESTING/LIN/zhet01_aa.f @@ -9,17 +9,17 @@ * =========== * * SUBROUTINE ZHET01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, -* C, LDC, RWORK, RESID ) +* C, LDC, RWORK, RESID ) * * .. Scalar Arguments .. * CHARACTER UPLO * INTEGER LDA, LDAFAC, LDC, N -* COMPLEX*16 RESID +* DOUBLE PRECISION RESID * .. * .. Array Arguments .. * INTEGER IPIV( * ) -* COMPLEX*16 A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ), -* $ RWORK( * ) +* DOUBLE PRECISION RWORK( * ) +* COMPLEX*16 A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) * .. * * @@ -123,7 +123,7 @@ * * ===================================================================== SUBROUTINE ZHET01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, - $ LDC, RWORK, RESID ) + $ LDC, RWORK, RESID ) * * -- LAPACK test routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- @@ -137,8 +137,8 @@ * .. * .. Array Arguments .. INTEGER IPIV( * ) - COMPLEX*16 A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ), - $ RWORK( * ) + DOUBLE PRECISION RWORK( * ) + COMPLEX*16 A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) * .. * * ===================================================================== @@ -197,40 +197,42 @@ $ LDC+1 ) CALL ZLACGV( N-1, C( 1, 2 ), LDC+1 ) ENDIF - ENDIF * -* Call ZTRMM to form the product U' * D (or L * D ). +* Call ZTRMM to form the product U' * D (or L * D ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL ZTRMM( 'Left', UPLO, 'Conjugate transpose', 'Unit', N-1, - $ N, CONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) - ELSE - CALL ZTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, - $ CONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL ZTRMM( 'Left', UPLO, 'Conjugate transpose', 'Unit', + $ N-1, N, CONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), + $ LDC ) + ELSE + CALL ZTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, + $ CONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) + END IF * -* Call ZTRMM again to multiply by U (or L ). +* Call ZTRMM again to multiply by U (or L ). * - IF( LSAME( UPLO, 'U' ) ) THEN - CALL ZTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, - $ CONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) - ELSE - CALL ZTRMM( 'Right', UPLO, 'Conjugate transpose', 'Unit', N, - $ N-1, CONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) - END IF + IF( LSAME( UPLO, 'U' ) ) THEN + CALL ZTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, + $ CONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) + ELSE + CALL ZTRMM( 'Right', UPLO, 'Conjugate transpose', 'Unit', N, + $ N-1, CONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), + $ LDC ) + END IF +* +* Apply hermitian pivots * -* Apply hermitian pivots -* - DO J = N, 1, -1 - I = IPIV( J ) - IF( I.NE.J ) - $ CALL ZSWAP( N, C( J, 1 ), LDC, C( I, 1 ), LDC ) - END DO - DO J = N, 1, -1 - I = IPIV( J ) - IF( I.NE.J ) - $ CALL ZSWAP( N, C( 1, J ), 1, C( 1, I ), 1 ) - END DO + DO J = N, 1, -1 + I = IPIV( J ) + IF( I.NE.J ) + $ CALL ZSWAP( N, C( J, 1 ), LDC, C( I, 1 ), LDC ) + END DO + DO J = N, 1, -1 + I = IPIV( J ) + IF( I.NE.J ) + $ CALL ZSWAP( N, C( 1, J ), 1, C( 1, I ), 1 ) + END DO + ENDIF * * * Compute the difference C - A . diff --git a/TESTING/LIN/zsyt01_aa.f b/TESTING/LIN/zsyt01_aa.f new file mode 100644 index 00000000..988f4beb --- /dev/null +++ b/TESTING/LIN/zsyt01_aa.f @@ -0,0 +1,265 @@ +*> \brief \b ZSYT01 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE ZSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, +* RWORK, RESID ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER LDA, LDAFAC, LDC, N +* DOUBLE PRECISION RESID +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* DOUBLE PRECISION RWORK( * ) +* COMPLEX*16 A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ), +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZSYT01 reconstructs a hermitian indefinite matrix A from its +*> block L*D*L' or U*D*U' factorization and computes the residual +*> norm( C - A ) / ( N * norm(A) * EPS ), +*> where C is the reconstructed matrix and EPS is the machine epsilon. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> Specifies whether the upper or lower triangular part of the +*> hermitian matrix A is stored: +*> = 'U': Upper triangular +*> = 'L': Lower triangular +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of rows and columns of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> The original hermitian matrix A. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,N) +*> \endverbatim +*> +*> \param[in] AFAC +*> \verbatim +*> AFAC is COMPLEX*16 array, dimension (LDAFAC,N) +*> The factored form of the matrix A. AFAC contains the block +*> diagonal matrix D and the multipliers used to obtain the +*> factor L or U from the block L*D*L' or U*D*U' factorization +*> as computed by ZSYTRF. +*> \endverbatim +*> +*> \param[in] LDAFAC +*> \verbatim +*> LDAFAC is INTEGER +*> The leading dimension of the array AFAC. LDAFAC >= max(1,N). +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> The pivot indices from ZSYTRF. +*> \endverbatim +*> +*> \param[out] C +*> \verbatim +*> C is COMPLEX*16 array, dimension (LDC,N) +*> \endverbatim +*> +*> \param[in] LDC +*> \verbatim +*> LDC is INTEGER +*> The leading dimension of the array C. LDC >= max(1,N). +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is COMPLEX*16 array, dimension (N) +*> \endverbatim +*> +*> \param[out] RESID +*> \verbatim +*> RESID is COMPLEX*16 +*> If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS ) +*> If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS ) +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2016 +* +* @generated from LIN/dsyt01_aa.f, fortran d -> z, Thu Nov 17 13:01:50 2016 +* +*> \ingroup complex16_lin +* +* ===================================================================== + SUBROUTINE ZSYT01_AA( UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, + $ LDC, RWORK, RESID ) +* +* -- LAPACK test routine (version 3.5.0) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2016 +* +* .. Scalar Arguments .. + CHARACTER UPLO + INTEGER LDA, LDAFAC, LDC, N + DOUBLE PRECISION RESID +* .. +* .. Array Arguments .. + INTEGER IPIV( * ) + COMPLEX*16 A( LDA, * ), AFAC( LDAFAC, * ), C( LDC, * ) + DOUBLE PRECISION RWORK( * ) +* .. +* +* ===================================================================== +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) + COMPLEX*16 CZERO, CONE + PARAMETER ( CZERO = 0.0E+0, CONE = 1.0E+0 ) +* .. +* .. Local Scalars .. + INTEGER I, J + DOUBLE PRECISION ANORM, EPS +* .. +* .. External Functions .. + LOGICAL LSAME + DOUBLE PRECISION DLAMCH, ZLANSY + EXTERNAL LSAME, DLAMCH, ZLANSY +* .. +* .. External Subroutines .. + EXTERNAL ZLASET, ZLAVSY +* .. +* .. Intrinsic Functions .. + INTRINSIC DBLE +* .. +* .. Executable Statements .. +* +* Quick exit if N = 0. +* + IF( N.LE.0 ) THEN + RESID = ZERO + RETURN + END IF +* +* Determine EPS and the norm of A. +* + EPS = DLAMCH( 'Epsilon' ) + ANORM = ZLANSY( '1', UPLO, N, A, LDA, RWORK ) +* +* Initialize C to the tridiagonal matrix T. +* + CALL ZLASET( 'Full', N, N, CZERO, CZERO, C, LDC ) + CALL ZLACPY( 'F', 1, N, AFAC( 1, 1 ), LDAFAC+1, C( 1, 1 ), LDC+1 ) + IF( N.GT.1 ) THEN + IF( LSAME( UPLO, 'U' ) ) THEN + CALL ZLACPY( 'F', 1, N-1, AFAC( 1, 2 ), LDAFAC+1, C( 1, 2 ), + $ LDC+1 ) + CALL ZLACPY( 'F', 1, N-1, AFAC( 1, 2 ), LDAFAC+1, C( 2, 1 ), + $ LDC+1 ) + ELSE + CALL ZLACPY( 'F', 1, N-1, AFAC( 2, 1 ), LDAFAC+1, C( 1, 2 ), + $ LDC+1 ) + CALL ZLACPY( 'F', 1, N-1, AFAC( 2, 1 ), LDAFAC+1, C( 2, 1 ), + $ LDC+1 ) + ENDIF +* +* Call ZTRMM to form the product U' * D (or L * D ). +* + IF( LSAME( UPLO, 'U' ) ) THEN + CALL ZTRMM( 'Left', UPLO, 'Transpose', 'Unit', N-1, N, + $ CONE, AFAC( 1, 2 ), LDAFAC, C( 2, 1 ), LDC ) + ELSE + CALL ZTRMM( 'Left', UPLO, 'No transpose', 'Unit', N-1, N, + $ CONE, AFAC( 2, 1 ), LDAFAC, C( 2, 1 ), LDC ) + END IF +* +* Call ZTRMM again to multiply by U (or L ). +* + IF( LSAME( UPLO, 'U' ) ) THEN + CALL ZTRMM( 'Right', UPLO, 'No transpose', 'Unit', N, N-1, + $ CONE, AFAC( 1, 2 ), LDAFAC, C( 1, 2 ), LDC ) + ELSE + CALL ZTRMM( 'Right', UPLO, 'Transpose', 'Unit', N, N-1, + $ CONE, AFAC( 2, 1 ), LDAFAC, C( 1, 2 ), LDC ) + END IF + ENDIF +* +* Apply symmetric pivots +* + DO J = N, 1, -1 + I = IPIV( J ) + IF( I.NE.J ) + $ CALL ZSWAP( N, C( J, 1 ), LDC, C( I, 1 ), LDC ) + END DO + DO J = N, 1, -1 + I = IPIV( J ) + IF( I.NE.J ) + $ CALL ZSWAP( N, C( 1, J ), 1, C( 1, I ), 1 ) + END DO +* +* +* Compute the difference C - A . +* + IF( LSAME( UPLO, 'U' ) ) THEN + DO J = 1, N + DO I = 1, J + C( I, J ) = C( I, J ) - A( I, J ) + END DO + END DO + ELSE + DO J = 1, N + DO I = J, N + C( I, J ) = C( I, J ) - A( I, J ) + END DO + END DO + END IF +* +* Compute norm( C - A ) / ( N * norm(A) * EPS ) +* + RESID = ZLANSY( '1', UPLO, N, C, LDC, RWORK ) +* + IF( ANORM.LE.ZERO ) THEN + IF( RESID.NE.ZERO ) + $ RESID = ONE / EPS + ELSE + RESID = ( ( RESID / DBLE( N ) ) / ANORM ) / EPS + END IF +* + RETURN +* +* End of ZSYT01 +* + END |