LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
sdrvsyx.f
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00001 *> \brief \b SDRVSYX
00002 *
00003 *  =========== DOCUMENTATION ===========
00004 *
00005 * Online html documentation available at 
00006 *            http://www.netlib.org/lapack/explore-html/ 
00007 *
00008 *  Definition:
00009 *  ===========
00010 *
00011 *       SUBROUTINE SDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
00012 *                          A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
00013 *                          NOUT )
00014 * 
00015 *       .. Scalar Arguments ..
00016 *       LOGICAL            TSTERR
00017 *       INTEGER            NMAX, NN, NOUT, NRHS
00018 *       REAL               THRESH
00019 *       ..
00020 *       .. Array Arguments ..
00021 *       LOGICAL            DOTYPE( * )
00022 *       INTEGER            IWORK( * ), NVAL( * )
00023 *       REAL               A( * ), AFAC( * ), AINV( * ), B( * ),
00024 *      $                   RWORK( * ), WORK( * ), X( * ), XACT( * )
00025 *       ..
00026 *  
00027 *
00028 *> \par Purpose:
00029 *  =============
00030 *>
00031 *> \verbatim
00032 *>
00033 *> SDRVSY tests the driver routines SSYSV, -SVX, and -SVXX
00034 *>
00035 *> Note that this file is used only when the XBLAS are available,
00036 *> otherwise sdrvsy.f defines this subroutine.
00037 *> \endverbatim
00038 *
00039 *  Arguments:
00040 *  ==========
00041 *
00042 *> \param[in] DOTYPE
00043 *> \verbatim
00044 *>          DOTYPE is LOGICAL array, dimension (NTYPES)
00045 *>          The matrix types to be used for testing.  Matrices of type j
00046 *>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
00047 *>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
00048 *> \endverbatim
00049 *>
00050 *> \param[in] NN
00051 *> \verbatim
00052 *>          NN is INTEGER
00053 *>          The number of values of N contained in the vector NVAL.
00054 *> \endverbatim
00055 *>
00056 *> \param[in] NVAL
00057 *> \verbatim
00058 *>          NVAL is INTEGER array, dimension (NN)
00059 *>          The values of the matrix dimension N.
00060 *> \endverbatim
00061 *>
00062 *> \param[in] NRHS
00063 *> \verbatim
00064 *>          NRHS is INTEGER
00065 *>          The number of right hand side vectors to be generated for
00066 *>          each linear system.
00067 *> \endverbatim
00068 *>
00069 *> \param[in] THRESH
00070 *> \verbatim
00071 *>          THRESH is REAL
00072 *>          The threshold value for the test ratios.  A result is
00073 *>          included in the output file if RESULT >= THRESH.  To have
00074 *>          every test ratio printed, use THRESH = 0.
00075 *> \endverbatim
00076 *>
00077 *> \param[in] TSTERR
00078 *> \verbatim
00079 *>          TSTERR is LOGICAL
00080 *>          Flag that indicates whether error exits are to be tested.
00081 *> \endverbatim
00082 *>
00083 *> \param[in] NMAX
00084 *> \verbatim
00085 *>          NMAX is INTEGER
00086 *>          The maximum value permitted for N, used in dimensioning the
00087 *>          work arrays.
00088 *> \endverbatim
00089 *>
00090 *> \param[out] A
00091 *> \verbatim
00092 *>          A is REAL array, dimension (NMAX*NMAX)
00093 *> \endverbatim
00094 *>
00095 *> \param[out] AFAC
00096 *> \verbatim
00097 *>          AFAC is REAL array, dimension (NMAX*NMAX)
00098 *> \endverbatim
00099 *>
00100 *> \param[out] AINV
00101 *> \verbatim
00102 *>          AINV is REAL array, dimension (NMAX*NMAX)
00103 *> \endverbatim
00104 *>
00105 *> \param[out] B
00106 *> \verbatim
00107 *>          B is REAL array, dimension (NMAX*NRHS)
00108 *> \endverbatim
00109 *>
00110 *> \param[out] X
00111 *> \verbatim
00112 *>          X is REAL array, dimension (NMAX*NRHS)
00113 *> \endverbatim
00114 *>
00115 *> \param[out] XACT
00116 *> \verbatim
00117 *>          XACT is REAL array, dimension (NMAX*NRHS)
00118 *> \endverbatim
00119 *>
00120 *> \param[out] WORK
00121 *> \verbatim
00122 *>          WORK is REAL array, dimension
00123 *>                      (NMAX*max(2,NRHS))
00124 *> \endverbatim
00125 *>
00126 *> \param[out] RWORK
00127 *> \verbatim
00128 *>          RWORK is REAL array, dimension (NMAX+2*NRHS)
00129 *> \endverbatim
00130 *>
00131 *> \param[out] IWORK
00132 *> \verbatim
00133 *>          IWORK is INTEGER array, dimension (2*NMAX)
00134 *> \endverbatim
00135 *>
00136 *> \param[in] NOUT
00137 *> \verbatim
00138 *>          NOUT is INTEGER
00139 *>          The unit number for output.
00140 *> \endverbatim
00141 *
00142 *  Authors:
00143 *  ========
00144 *
00145 *> \author Univ. of Tennessee 
00146 *> \author Univ. of California Berkeley 
00147 *> \author Univ. of Colorado Denver 
00148 *> \author NAG Ltd. 
00149 *
00150 *> \date November 2011
00151 *
00152 *> \ingroup single_lin
00153 *
00154 *  =====================================================================
00155       SUBROUTINE SDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
00156      $                   A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
00157      $                   NOUT )
00158 *
00159 *  -- LAPACK test routine (version 3.4.0) --
00160 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00161 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00162 *     November 2011
00163 *
00164 *     .. Scalar Arguments ..
00165       LOGICAL            TSTERR
00166       INTEGER            NMAX, NN, NOUT, NRHS
00167       REAL               THRESH
00168 *     ..
00169 *     .. Array Arguments ..
00170       LOGICAL            DOTYPE( * )
00171       INTEGER            IWORK( * ), NVAL( * )
00172       REAL               A( * ), AFAC( * ), AINV( * ), B( * ),
00173      $                   RWORK( * ), WORK( * ), X( * ), XACT( * )
00174 *     ..
00175 *
00176 *  =====================================================================
00177 *
00178 *     .. Parameters ..
00179       REAL               ONE, ZERO
00180       PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
00181       INTEGER            NTYPES, NTESTS
00182       PARAMETER          ( NTYPES = 10, NTESTS = 6 )
00183       INTEGER            NFACT
00184       PARAMETER          ( NFACT = 2 )
00185 *     ..
00186 *     .. Local Scalars ..
00187       LOGICAL            ZEROT
00188       CHARACTER          DIST, EQUED, FACT, TYPE, UPLO, XTYPE
00189       CHARACTER*3        PATH
00190       INTEGER            I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
00191      $                   IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
00192      $                   NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT,
00193      $                   N_ERR_BNDS
00194       REAL               AINVNM, ANORM, CNDNUM, RCOND, RCONDC,
00195      $                   RPVGRW_SVXX
00196 *     ..
00197 *     .. Local Arrays ..
00198       CHARACTER          FACTS( NFACT ), UPLOS( 2 )
00199       INTEGER            ISEED( 4 ), ISEEDY( 4 )
00200       REAL               RESULT( NTESTS ), BERR( NRHS ),
00201      $                   ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
00202 *     ..
00203 *     .. External Functions ..
00204       REAL               SGET06, SLANSY
00205       EXTERNAL           SGET06, SLANSY
00206 *     ..
00207 *     .. External Subroutines ..
00208       EXTERNAL           ALADHD, ALAERH, ALASVM, SERRVX, SGET04, SLACPY,
00209      $                   SLARHS, SLASET, SLATB4, SLATMS, SPOT02, SPOT05,
00210      $                   SSYSV, SSYSVX, SSYT01, SSYTRF, SSYTRI2, XLAENV,
00211      $                   SSYSVXX
00212 *     ..
00213 *     .. Scalars in Common ..
00214       LOGICAL            LERR, OK
00215       CHARACTER*32       SRNAMT
00216       INTEGER            INFOT, NUNIT
00217 *     ..
00218 *     .. Common blocks ..
00219       COMMON             / INFOC / INFOT, NUNIT, OK, LERR
00220       COMMON             / SRNAMC / SRNAMT
00221 *     ..
00222 *     .. Intrinsic Functions ..
00223       INTRINSIC          MAX, MIN
00224 *     ..
00225 *     .. Data statements ..
00226       DATA               ISEEDY / 1988, 1989, 1990, 1991 /
00227       DATA               UPLOS / 'U', 'L' / , FACTS / 'F', 'N' /
00228 *     ..
00229 *     .. Executable Statements ..
00230 *
00231 *     Initialize constants and the random number seed.
00232 *
00233       PATH( 1: 1 ) = 'Single precision'
00234       PATH( 2: 3 ) = 'SY'
00235       NRUN = 0
00236       NFAIL = 0
00237       NERRS = 0
00238       DO 10 I = 1, 4
00239          ISEED( I ) = ISEEDY( I )
00240    10 CONTINUE
00241       LWORK = MAX( 2*NMAX, NMAX*NRHS )
00242 *
00243 *     Test the error exits
00244 *
00245       IF( TSTERR )
00246      $   CALL SERRVX( PATH, NOUT )
00247       INFOT = 0
00248 *
00249 *     Set the block size and minimum block size for testing.
00250 *
00251       NB = 1
00252       NBMIN = 2
00253       CALL XLAENV( 1, NB )
00254       CALL XLAENV( 2, NBMIN )
00255 *
00256 *     Do for each value of N in NVAL
00257 *
00258       DO 180 IN = 1, NN
00259          N = NVAL( IN )
00260          LDA = MAX( N, 1 )
00261          XTYPE = 'N'
00262          NIMAT = NTYPES
00263          IF( N.LE.0 )
00264      $      NIMAT = 1
00265 *
00266          DO 170 IMAT = 1, NIMAT
00267 *
00268 *           Do the tests only if DOTYPE( IMAT ) is true.
00269 *
00270             IF( .NOT.DOTYPE( IMAT ) )
00271      $         GO TO 170
00272 *
00273 *           Skip types 3, 4, 5, or 6 if the matrix size is too small.
00274 *
00275             ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
00276             IF( ZEROT .AND. N.LT.IMAT-2 )
00277      $         GO TO 170
00278 *
00279 *           Do first for UPLO = 'U', then for UPLO = 'L'
00280 *
00281             DO 160 IUPLO = 1, 2
00282                UPLO = UPLOS( IUPLO )
00283 *
00284 *              Set up parameters with SLATB4 and generate a test matrix
00285 *              with SLATMS.
00286 *
00287                CALL SLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
00288      $                      CNDNUM, DIST )
00289 *
00290                SRNAMT = 'SLATMS'
00291                CALL SLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
00292      $                      CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
00293      $                      INFO )
00294 *
00295 *              Check error code from SLATMS.
00296 *
00297                IF( INFO.NE.0 ) THEN
00298                   CALL ALAERH( PATH, 'SLATMS', INFO, 0, UPLO, N, N, -1,
00299      $                         -1, -1, IMAT, NFAIL, NERRS, NOUT )
00300                   GO TO 160
00301                END IF
00302 *
00303 *              For types 3-6, zero one or more rows and columns of the
00304 *              matrix to test that INFO is returned correctly.
00305 *
00306                IF( ZEROT ) THEN
00307                   IF( IMAT.EQ.3 ) THEN
00308                      IZERO = 1
00309                   ELSE IF( IMAT.EQ.4 ) THEN
00310                      IZERO = N
00311                   ELSE
00312                      IZERO = N / 2 + 1
00313                   END IF
00314 *
00315                   IF( IMAT.LT.6 ) THEN
00316 *
00317 *                    Set row and column IZERO to zero.
00318 *
00319                      IF( IUPLO.EQ.1 ) THEN
00320                         IOFF = ( IZERO-1 )*LDA
00321                         DO 20 I = 1, IZERO - 1
00322                            A( IOFF+I ) = ZERO
00323    20                   CONTINUE
00324                         IOFF = IOFF + IZERO
00325                         DO 30 I = IZERO, N
00326                            A( IOFF ) = ZERO
00327                            IOFF = IOFF + LDA
00328    30                   CONTINUE
00329                      ELSE
00330                         IOFF = IZERO
00331                         DO 40 I = 1, IZERO - 1
00332                            A( IOFF ) = ZERO
00333                            IOFF = IOFF + LDA
00334    40                   CONTINUE
00335                         IOFF = IOFF - IZERO
00336                         DO 50 I = IZERO, N
00337                            A( IOFF+I ) = ZERO
00338    50                   CONTINUE
00339                      END IF
00340                   ELSE
00341                      IOFF = 0
00342                      IF( IUPLO.EQ.1 ) THEN
00343 *
00344 *                       Set the first IZERO rows and columns to zero.
00345 *
00346                         DO 70 J = 1, N
00347                            I2 = MIN( J, IZERO )
00348                            DO 60 I = 1, I2
00349                               A( IOFF+I ) = ZERO
00350    60                      CONTINUE
00351                            IOFF = IOFF + LDA
00352    70                   CONTINUE
00353                      ELSE
00354 *
00355 *                       Set the last IZERO rows and columns to zero.
00356 *
00357                         DO 90 J = 1, N
00358                            I1 = MAX( J, IZERO )
00359                            DO 80 I = I1, N
00360                               A( IOFF+I ) = ZERO
00361    80                      CONTINUE
00362                            IOFF = IOFF + LDA
00363    90                   CONTINUE
00364                      END IF
00365                   END IF
00366                ELSE
00367                   IZERO = 0
00368                END IF
00369 *
00370                DO 150 IFACT = 1, NFACT
00371 *
00372 *                 Do first for FACT = 'F', then for other values.
00373 *
00374                   FACT = FACTS( IFACT )
00375 *
00376 *                 Compute the condition number for comparison with
00377 *                 the value returned by SSYSVX.
00378 *
00379                   IF( ZEROT ) THEN
00380                      IF( IFACT.EQ.1 )
00381      $                  GO TO 150
00382                      RCONDC = ZERO
00383 *
00384                   ELSE IF( IFACT.EQ.1 ) THEN
00385 *
00386 *                    Compute the 1-norm of A.
00387 *
00388                      ANORM = SLANSY( '1', UPLO, N, A, LDA, RWORK )
00389 *
00390 *                    Factor the matrix A.
00391 *
00392                      CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
00393                      CALL SSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK,
00394      $                            LWORK, INFO )
00395 *
00396 *                    Compute inv(A) and take its norm.
00397 *
00398                      CALL SLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
00399                      LWORK = (N+NB+1)*(NB+3)
00400                      CALL SSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK,
00401      $                            LWORK, INFO )
00402                      AINVNM = SLANSY( '1', UPLO, N, AINV, LDA, RWORK )
00403 *
00404 *                    Compute the 1-norm condition number of A.
00405 *
00406                      IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
00407                         RCONDC = ONE
00408                      ELSE
00409                         RCONDC = ( ONE / ANORM ) / AINVNM
00410                      END IF
00411                   END IF
00412 *
00413 *                 Form an exact solution and set the right hand side.
00414 *
00415                   SRNAMT = 'SLARHS'
00416                   CALL SLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
00417      $                         NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
00418      $                         INFO )
00419                   XTYPE = 'C'
00420 *
00421 *                 --- Test SSYSV  ---
00422 *
00423                   IF( IFACT.EQ.2 ) THEN
00424                      CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
00425                      CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
00426 *
00427 *                    Factor the matrix and solve the system using SSYSV.
00428 *
00429                      SRNAMT = 'SSYSV '
00430                      CALL SSYSV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
00431      $                           LDA, WORK, LWORK, INFO )
00432 *
00433 *                    Adjust the expected value of INFO to account for
00434 *                    pivoting.
00435 *
00436                      K = IZERO
00437                      IF( K.GT.0 ) THEN
00438   100                   CONTINUE
00439                         IF( IWORK( K ).LT.0 ) THEN
00440                            IF( IWORK( K ).NE.-K ) THEN
00441                               K = -IWORK( K )
00442                               GO TO 100
00443                            END IF
00444                         ELSE IF( IWORK( K ).NE.K ) THEN
00445                            K = IWORK( K )
00446                            GO TO 100
00447                         END IF
00448                      END IF
00449 *
00450 *                    Check error code from SSYSV .
00451 *
00452                      IF( INFO.NE.K ) THEN
00453                         CALL ALAERH( PATH, 'SSYSV ', INFO, K, UPLO, N,
00454      $                               N, -1, -1, NRHS, IMAT, NFAIL,
00455      $                               NERRS, NOUT )
00456                         GO TO 120
00457                      ELSE IF( INFO.NE.0 ) THEN
00458                         GO TO 120
00459                      END IF
00460 *
00461 *                    Reconstruct matrix from factors and compute
00462 *                    residual.
00463 *
00464                      CALL SSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00465      $                            AINV, LDA, RWORK, RESULT( 1 ) )
00466 *
00467 *                    Compute residual of the computed solution.
00468 *
00469                      CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00470                      CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00471      $                            LDA, RWORK, RESULT( 2 ) )
00472 *
00473 *                    Check solution from generated exact solution.
00474 *
00475                      CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00476      $                            RESULT( 3 ) )
00477                      NT = 3
00478 *
00479 *                    Print information about the tests that did not pass
00480 *                    the threshold.
00481 *
00482                      DO 110 K = 1, NT
00483                         IF( RESULT( K ).GE.THRESH ) THEN
00484                            IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00485      $                        CALL ALADHD( NOUT, PATH )
00486                            WRITE( NOUT, FMT = 9999 )'SSYSV ', UPLO, N,
00487      $                        IMAT, K, RESULT( K )
00488                            NFAIL = NFAIL + 1
00489                         END IF
00490   110                CONTINUE
00491                      NRUN = NRUN + NT
00492   120                CONTINUE
00493                   END IF
00494 *
00495 *                 --- Test SSYSVX ---
00496 *
00497                   IF( IFACT.EQ.2 )
00498      $               CALL SLASET( UPLO, N, N, ZERO, ZERO, AFAC, LDA )
00499                   CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA )
00500 *
00501 *                 Solve the system and compute the condition number and
00502 *                 error bounds using SSYSVX.
00503 *
00504                   SRNAMT = 'SSYSVX'
00505                   CALL SSYSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
00506      $                         IWORK, B, LDA, X, LDA, RCOND, RWORK,
00507      $                         RWORK( NRHS+1 ), WORK, LWORK,
00508      $                         IWORK( N+1 ), INFO )
00509 *
00510 *                 Adjust the expected value of INFO to account for
00511 *                 pivoting.
00512 *
00513                   K = IZERO
00514                   IF( K.GT.0 ) THEN
00515   130                CONTINUE
00516                      IF( IWORK( K ).LT.0 ) THEN
00517                         IF( IWORK( K ).NE.-K ) THEN
00518                            K = -IWORK( K )
00519                            GO TO 130
00520                         END IF
00521                      ELSE IF( IWORK( K ).NE.K ) THEN
00522                         K = IWORK( K )
00523                         GO TO 130
00524                      END IF
00525                   END IF
00526 *
00527 *                 Check the error code from SSYSVX.
00528 *
00529                   IF( INFO.NE.K ) THEN
00530                      CALL ALAERH( PATH, 'SSYSVX', INFO, K, FACT // UPLO,
00531      $                            N, N, -1, -1, NRHS, IMAT, NFAIL,
00532      $                            NERRS, NOUT )
00533                      GO TO 150
00534                   END IF
00535 *
00536                   IF( INFO.EQ.0 ) THEN
00537                      IF( IFACT.GE.2 ) THEN
00538 *
00539 *                       Reconstruct matrix from factors and compute
00540 *                       residual.
00541 *
00542                         CALL SSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00543      $                               AINV, LDA, RWORK( 2*NRHS+1 ),
00544      $                               RESULT( 1 ) )
00545                         K1 = 1
00546                      ELSE
00547                         K1 = 2
00548                      END IF
00549 *
00550 *                    Compute residual of the computed solution.
00551 *
00552                      CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00553                      CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00554      $                            LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
00555 *
00556 *                    Check solution from generated exact solution.
00557 *
00558                      CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00559      $                            RESULT( 3 ) )
00560 *
00561 *                    Check the error bounds from iterative refinement.
00562 *
00563                      CALL SPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
00564      $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
00565      $                            RESULT( 4 ) )
00566                   ELSE
00567                      K1 = 6
00568                   END IF
00569 *
00570 *                 Compare RCOND from SSYSVX with the computed value
00571 *                 in RCONDC.
00572 *
00573                   RESULT( 6 ) = SGET06( RCOND, RCONDC )
00574 *
00575 *                 Print information about the tests that did not pass
00576 *                 the threshold.
00577 *
00578                   DO 140 K = K1, 6
00579                      IF( RESULT( K ).GE.THRESH ) THEN
00580                         IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00581      $                     CALL ALADHD( NOUT, PATH )
00582                         WRITE( NOUT, FMT = 9998 )'SSYSVX', FACT, UPLO,
00583      $                     N, IMAT, K, RESULT( K )
00584                         NFAIL = NFAIL + 1
00585                      END IF
00586   140             CONTINUE
00587                   NRUN = NRUN + 7 - K1
00588 *
00589 *                 --- Test SSYSVXX ---
00590 *
00591 *                 Restore the matrices A and B.
00592 *
00593                   IF( IFACT.EQ.2 )
00594      $               CALL SLASET( UPLO, N, N, ZERO, ZERO, AFAC, LDA )
00595                   CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA )
00596 *
00597 *                 Solve the system and compute the condition number
00598 *                 and error bounds using SSYSVXX.
00599 *
00600                   SRNAMT = 'SSYSVXX'
00601                   N_ERR_BNDS = 3
00602                   EQUED = 'N'
00603                   CALL SSYSVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
00604      $                 LDA, IWORK, EQUED, WORK( N+1 ), B, LDA, X,
00605      $                 LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
00606      $                 ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
00607      $                 IWORK( N+1 ), INFO )
00608 *
00609 *                 Adjust the expected value of INFO to account for
00610 *                 pivoting.
00611 *
00612                   K = IZERO
00613                   IF( K.GT.0 ) THEN
00614  135                 CONTINUE
00615                      IF( IWORK( K ).LT.0 ) THEN
00616                         IF( IWORK( K ).NE.-K ) THEN
00617                            K = -IWORK( K )
00618                            GO TO 135
00619                         END IF
00620                      ELSE IF( IWORK( K ).NE.K ) THEN
00621                         K = IWORK( K )
00622                         GO TO 135
00623                      END IF
00624                   END IF
00625 *
00626 *                 Check the error code from SSYSVXX.
00627 *
00628                   IF( INFO.NE.K .AND. INFO.LE.N ) THEN
00629                      CALL ALAERH( PATH, 'SSYSVXX', INFO, K,
00630      $                    FACT // UPLO, N, N, -1, -1, NRHS, IMAT, NFAIL,
00631      $                    NERRS, NOUT )
00632                      GO TO 150
00633                   END IF
00634 *
00635                   IF( INFO.EQ.0 ) THEN
00636                      IF( IFACT.GE.2 ) THEN
00637 *
00638 *                 Reconstruct matrix from factors and compute
00639 *                 residual.
00640 *
00641                         CALL SSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00642      $                       AINV, LDA, RWORK(2*NRHS+1),
00643      $                       RESULT( 1 ) )
00644                         K1 = 1
00645                      ELSE
00646                         K1 = 2
00647                      END IF
00648 *
00649 *                 Compute residual of the computed solution.
00650 *
00651                      CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00652                      CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00653      $                    LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
00654 *
00655 *                 Check solution from generated exact solution.
00656 *
00657                      CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00658      $                    RESULT( 3 ) )
00659 *
00660 *                 Check the error bounds from iterative refinement.
00661 *
00662                      CALL SPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
00663      $                    XACT, LDA, RWORK, RWORK( NRHS+1 ),
00664      $                    RESULT( 4 ) )
00665                   ELSE
00666                      K1 = 6
00667                   END IF
00668 *
00669 *                 Compare RCOND from SSYSVXX with the computed value
00670 *                 in RCONDC.
00671 *
00672                   RESULT( 6 ) = SGET06( RCOND, RCONDC )
00673 *
00674 *                 Print information about the tests that did not pass
00675 *                 the threshold.
00676 *
00677                   DO 85 K = K1, 6
00678                      IF( RESULT( K ).GE.THRESH ) THEN
00679                         IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00680      $                       CALL ALADHD( NOUT, PATH )
00681                         WRITE( NOUT, FMT = 9998 )'SSYSVXX',
00682      $                       FACT, UPLO, N, IMAT, K,
00683      $                       RESULT( K )
00684                         NFAIL = NFAIL + 1
00685                      END IF
00686  85               CONTINUE
00687                   NRUN = NRUN + 7 - K1
00688 *
00689   150          CONTINUE
00690 *
00691   160       CONTINUE
00692   170    CONTINUE
00693   180 CONTINUE
00694 *
00695 *     Print a summary of the results.
00696 *
00697       CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
00698 *
00699 
00700 *     Test Error Bounds from SSYSVXX
00701 
00702       CALL SEBCHVXX(THRESH, PATH)
00703 
00704  9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
00705      $      ', test ', I2, ', ratio =', G12.5 )
00706  9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
00707      $      ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
00708       RETURN
00709 *
00710 *     End of SDRVSY
00711 *
00712       END
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