LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
ddrvsy.f
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00001 *> \brief \b DDRVSY
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 DDRVSY( 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 *       DOUBLE PRECISION   THRESH
00019 *       ..
00020 *       .. Array Arguments ..
00021 *       LOGICAL            DOTYPE( * )
00022 *       INTEGER            IWORK( * ), NVAL( * )
00023 *       DOUBLE PRECISION   A( * ), AFAC( * ), AINV( * ), B( * ),
00024 *      $                   RWORK( * ), WORK( * ), X( * ), XACT( * )
00025 *       ..
00026 *  
00027 *
00028 *> \par Purpose:
00029 *  =============
00030 *>
00031 *> \verbatim
00032 *>
00033 *> DDRVSY tests the driver routines DSYSV and -SVX.
00034 *> \endverbatim
00035 *
00036 *  Arguments:
00037 *  ==========
00038 *
00039 *> \param[in] DOTYPE
00040 *> \verbatim
00041 *>          DOTYPE is LOGICAL array, dimension (NTYPES)
00042 *>          The matrix types to be used for testing.  Matrices of type j
00043 *>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
00044 *>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
00045 *> \endverbatim
00046 *>
00047 *> \param[in] NN
00048 *> \verbatim
00049 *>          NN is INTEGER
00050 *>          The number of values of N contained in the vector NVAL.
00051 *> \endverbatim
00052 *>
00053 *> \param[in] NVAL
00054 *> \verbatim
00055 *>          NVAL is INTEGER array, dimension (NN)
00056 *>          The values of the matrix dimension N.
00057 *> \endverbatim
00058 *>
00059 *> \param[in] NRHS
00060 *> \verbatim
00061 *>          NRHS is INTEGER
00062 *>          The number of right hand side vectors to be generated for
00063 *>          each linear system.
00064 *> \endverbatim
00065 *>
00066 *> \param[in] THRESH
00067 *> \verbatim
00068 *>          THRESH is DOUBLE PRECISION
00069 *>          The threshold value for the test ratios.  A result is
00070 *>          included in the output file if RESULT >= THRESH.  To have
00071 *>          every test ratio printed, use THRESH = 0.
00072 *> \endverbatim
00073 *>
00074 *> \param[in] TSTERR
00075 *> \verbatim
00076 *>          TSTERR is LOGICAL
00077 *>          Flag that indicates whether error exits are to be tested.
00078 *> \endverbatim
00079 *>
00080 *> \param[in] NMAX
00081 *> \verbatim
00082 *>          NMAX is INTEGER
00083 *>          The maximum value permitted for N, used in dimensioning the
00084 *>          work arrays.
00085 *> \endverbatim
00086 *>
00087 *> \param[out] A
00088 *> \verbatim
00089 *>          A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00090 *> \endverbatim
00091 *>
00092 *> \param[out] AFAC
00093 *> \verbatim
00094 *>          AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00095 *> \endverbatim
00096 *>
00097 *> \param[out] AINV
00098 *> \verbatim
00099 *>          AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00100 *> \endverbatim
00101 *>
00102 *> \param[out] B
00103 *> \verbatim
00104 *>          B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
00105 *> \endverbatim
00106 *>
00107 *> \param[out] X
00108 *> \verbatim
00109 *>          X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
00110 *> \endverbatim
00111 *>
00112 *> \param[out] XACT
00113 *> \verbatim
00114 *>          XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
00115 *> \endverbatim
00116 *>
00117 *> \param[out] WORK
00118 *> \verbatim
00119 *>          WORK is DOUBLE PRECISION array, dimension
00120 *>                      (NMAX*max(2,NRHS))
00121 *> \endverbatim
00122 *>
00123 *> \param[out] RWORK
00124 *> \verbatim
00125 *>          RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NRHS)
00126 *> \endverbatim
00127 *>
00128 *> \param[out] IWORK
00129 *> \verbatim
00130 *>          IWORK is INTEGER array, dimension (2*NMAX)
00131 *> \endverbatim
00132 *>
00133 *> \param[in] NOUT
00134 *> \verbatim
00135 *>          NOUT is INTEGER
00136 *>          The unit number for output.
00137 *> \endverbatim
00138 *
00139 *  Authors:
00140 *  ========
00141 *
00142 *> \author Univ. of Tennessee 
00143 *> \author Univ. of California Berkeley 
00144 *> \author Univ. of Colorado Denver 
00145 *> \author NAG Ltd. 
00146 *
00147 *> \date November 2011
00148 *
00149 *> \ingroup double_lin
00150 *
00151 *  =====================================================================
00152       SUBROUTINE DDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
00153      $                   A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
00154      $                   NOUT )
00155 *
00156 *  -- LAPACK test routine (version 3.4.0) --
00157 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00158 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00159 *     November 2011
00160 *
00161 *     .. Scalar Arguments ..
00162       LOGICAL            TSTERR
00163       INTEGER            NMAX, NN, NOUT, NRHS
00164       DOUBLE PRECISION   THRESH
00165 *     ..
00166 *     .. Array Arguments ..
00167       LOGICAL            DOTYPE( * )
00168       INTEGER            IWORK( * ), NVAL( * )
00169       DOUBLE PRECISION   A( * ), AFAC( * ), AINV( * ), B( * ),
00170      $                   RWORK( * ), WORK( * ), X( * ), XACT( * )
00171 *     ..
00172 *
00173 *  =====================================================================
00174 *
00175 *     .. Parameters ..
00176       DOUBLE PRECISION   ONE, ZERO
00177       PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
00178       INTEGER            NTYPES, NTESTS
00179       PARAMETER          ( NTYPES = 10, NTESTS = 6 )
00180       INTEGER            NFACT
00181       PARAMETER          ( NFACT = 2 )
00182 *     ..
00183 *     .. Local Scalars ..
00184       LOGICAL            ZEROT
00185       CHARACTER          DIST, FACT, TYPE, UPLO, XTYPE
00186       CHARACTER*3        PATH
00187       INTEGER            I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
00188      $                   IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
00189      $                   NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
00190       DOUBLE PRECISION   AINVNM, ANORM, CNDNUM, RCOND, RCONDC
00191 *     ..
00192 *     .. Local Arrays ..
00193       CHARACTER          FACTS( NFACT ), UPLOS( 2 )
00194       INTEGER            ISEED( 4 ), ISEEDY( 4 )
00195       DOUBLE PRECISION   RESULT( NTESTS )
00196 *     ..
00197 *     .. External Functions ..
00198       DOUBLE PRECISION   DGET06, DLANSY
00199       EXTERNAL           DGET06, DLANSY
00200 *     ..
00201 *     .. External Subroutines ..
00202       EXTERNAL           ALADHD, ALAERH, ALASVM, DERRVX, DGET04, DLACPY,
00203      $                   DLARHS, DLASET, DLATB4, DLATMS, DPOT02, DPOT05,
00204      $                   DSYSV, DSYSVX, DSYT01, DSYTRF, DSYTRI2, XLAENV
00205 *     ..
00206 *     .. Scalars in Common ..
00207       LOGICAL            LERR, OK
00208       CHARACTER*32       SRNAMT
00209       INTEGER            INFOT, NUNIT
00210 *     ..
00211 *     .. Common blocks ..
00212       COMMON             / INFOC / INFOT, NUNIT, OK, LERR
00213       COMMON             / SRNAMC / SRNAMT
00214 *     ..
00215 *     .. Intrinsic Functions ..
00216       INTRINSIC          MAX, MIN
00217 *     ..
00218 *     .. Data statements ..
00219       DATA               ISEEDY / 1988, 1989, 1990, 1991 /
00220       DATA               UPLOS / 'U', 'L' / , FACTS / 'F', 'N' /
00221 *     ..
00222 *     .. Executable Statements ..
00223 *
00224 *     Initialize constants and the random number seed.
00225 *
00226       PATH( 1: 1 ) = 'Double precision'
00227       PATH( 2: 3 ) = 'SY'
00228       NRUN = 0
00229       NFAIL = 0
00230       NERRS = 0
00231       DO 10 I = 1, 4
00232          ISEED( I ) = ISEEDY( I )
00233    10 CONTINUE
00234       LWORK = MAX( 2*NMAX, NMAX*NRHS )
00235 *
00236 *     Test the error exits
00237 *
00238       IF( TSTERR )
00239      $   CALL DERRVX( PATH, NOUT )
00240       INFOT = 0
00241 *
00242 *     Set the block size and minimum block size for testing.
00243 *
00244       NB = 1
00245       NBMIN = 2
00246       CALL XLAENV( 1, NB )
00247       CALL XLAENV( 2, NBMIN )
00248 *
00249 *     Do for each value of N in NVAL
00250 *
00251       DO 180 IN = 1, NN
00252          N = NVAL( IN )
00253          LDA = MAX( N, 1 )
00254          XTYPE = 'N'
00255          NIMAT = NTYPES
00256          IF( N.LE.0 )
00257      $      NIMAT = 1
00258 *
00259          DO 170 IMAT = 1, NIMAT
00260 *
00261 *           Do the tests only if DOTYPE( IMAT ) is true.
00262 *
00263             IF( .NOT.DOTYPE( IMAT ) )
00264      $         GO TO 170
00265 *
00266 *           Skip types 3, 4, 5, or 6 if the matrix size is too small.
00267 *
00268             ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
00269             IF( ZEROT .AND. N.LT.IMAT-2 )
00270      $         GO TO 170
00271 *
00272 *           Do first for UPLO = 'U', then for UPLO = 'L'
00273 *
00274             DO 160 IUPLO = 1, 2
00275                UPLO = UPLOS( IUPLO )
00276 *
00277 *              Set up parameters with DLATB4 and generate a test matrix
00278 *              with DLATMS.
00279 *
00280                CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
00281      $                      CNDNUM, DIST )
00282 *
00283                SRNAMT = 'DLATMS'
00284                CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
00285      $                      CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
00286      $                      INFO )
00287 *
00288 *              Check error code from DLATMS.
00289 *
00290                IF( INFO.NE.0 ) THEN
00291                   CALL ALAERH( PATH, 'DLATMS', INFO, 0, UPLO, N, N, -1,
00292      $                         -1, -1, IMAT, NFAIL, NERRS, NOUT )
00293                   GO TO 160
00294                END IF
00295 *
00296 *              For types 3-6, zero one or more rows and columns of the
00297 *              matrix to test that INFO is returned correctly.
00298 *
00299                IF( ZEROT ) THEN
00300                   IF( IMAT.EQ.3 ) THEN
00301                      IZERO = 1
00302                   ELSE IF( IMAT.EQ.4 ) THEN
00303                      IZERO = N
00304                   ELSE
00305                      IZERO = N / 2 + 1
00306                   END IF
00307 *
00308                   IF( IMAT.LT.6 ) THEN
00309 *
00310 *                    Set row and column IZERO to zero.
00311 *
00312                      IF( IUPLO.EQ.1 ) THEN
00313                         IOFF = ( IZERO-1 )*LDA
00314                         DO 20 I = 1, IZERO - 1
00315                            A( IOFF+I ) = ZERO
00316    20                   CONTINUE
00317                         IOFF = IOFF + IZERO
00318                         DO 30 I = IZERO, N
00319                            A( IOFF ) = ZERO
00320                            IOFF = IOFF + LDA
00321    30                   CONTINUE
00322                      ELSE
00323                         IOFF = IZERO
00324                         DO 40 I = 1, IZERO - 1
00325                            A( IOFF ) = ZERO
00326                            IOFF = IOFF + LDA
00327    40                   CONTINUE
00328                         IOFF = IOFF - IZERO
00329                         DO 50 I = IZERO, N
00330                            A( IOFF+I ) = ZERO
00331    50                   CONTINUE
00332                      END IF
00333                   ELSE
00334                      IOFF = 0
00335                      IF( IUPLO.EQ.1 ) THEN
00336 *
00337 *                       Set the first IZERO rows and columns to zero.
00338 *
00339                         DO 70 J = 1, N
00340                            I2 = MIN( J, IZERO )
00341                            DO 60 I = 1, I2
00342                               A( IOFF+I ) = ZERO
00343    60                      CONTINUE
00344                            IOFF = IOFF + LDA
00345    70                   CONTINUE
00346                      ELSE
00347 *
00348 *                       Set the last IZERO rows and columns to zero.
00349 *
00350                         DO 90 J = 1, N
00351                            I1 = MAX( J, IZERO )
00352                            DO 80 I = I1, N
00353                               A( IOFF+I ) = ZERO
00354    80                      CONTINUE
00355                            IOFF = IOFF + LDA
00356    90                   CONTINUE
00357                      END IF
00358                   END IF
00359                ELSE
00360                   IZERO = 0
00361                END IF
00362 *
00363                DO 150 IFACT = 1, NFACT
00364 *
00365 *                 Do first for FACT = 'F', then for other values.
00366 *
00367                   FACT = FACTS( IFACT )
00368 *
00369 *                 Compute the condition number for comparison with
00370 *                 the value returned by DSYSVX.
00371 *
00372                   IF( ZEROT ) THEN
00373                      IF( IFACT.EQ.1 )
00374      $                  GO TO 150
00375                      RCONDC = ZERO
00376 *
00377                   ELSE IF( IFACT.EQ.1 ) THEN
00378 *
00379 *                    Compute the 1-norm of A.
00380 *
00381                      ANORM = DLANSY( '1', UPLO, N, A, LDA, RWORK )
00382 *
00383 *                    Factor the matrix A.
00384 *
00385                      CALL DLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
00386                      CALL DSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK,
00387      $                            LWORK, INFO )
00388 *
00389 *                    Compute inv(A) and take its norm.
00390 *
00391                      CALL DLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
00392                      LWORK = (N+NB+1)*(NB+3)
00393                      CALL DSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK,
00394      $                            LWORK, INFO )
00395                      AINVNM = DLANSY( '1', UPLO, N, AINV, LDA, RWORK )
00396 *
00397 *                    Compute the 1-norm condition number of A.
00398 *
00399                      IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
00400                         RCONDC = ONE
00401                      ELSE
00402                         RCONDC = ( ONE / ANORM ) / AINVNM
00403                      END IF
00404                   END IF
00405 *
00406 *                 Form an exact solution and set the right hand side.
00407 *
00408                   SRNAMT = 'DLARHS'
00409                   CALL DLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
00410      $                         NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
00411      $                         INFO )
00412                   XTYPE = 'C'
00413 *
00414 *                 --- Test DSYSV  ---
00415 *
00416                   IF( IFACT.EQ.2 ) THEN
00417                      CALL DLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
00418                      CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
00419 *
00420 *                    Factor the matrix and solve the system using DSYSV.
00421 *
00422                      SRNAMT = 'DSYSV '
00423                      CALL DSYSV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
00424      $                           LDA, WORK, LWORK, INFO )
00425 *
00426 *                    Adjust the expected value of INFO to account for
00427 *                    pivoting.
00428 *
00429                      K = IZERO
00430                      IF( K.GT.0 ) THEN
00431   100                   CONTINUE
00432                         IF( IWORK( K ).LT.0 ) THEN
00433                            IF( IWORK( K ).NE.-K ) THEN
00434                               K = -IWORK( K )
00435                               GO TO 100
00436                            END IF
00437                         ELSE IF( IWORK( K ).NE.K ) THEN
00438                            K = IWORK( K )
00439                            GO TO 100
00440                         END IF
00441                      END IF
00442 *
00443 *                    Check error code from DSYSV .
00444 *
00445                      IF( INFO.NE.K ) THEN
00446                         CALL ALAERH( PATH, 'DSYSV ', INFO, K, UPLO, N,
00447      $                               N, -1, -1, NRHS, IMAT, NFAIL,
00448      $                               NERRS, NOUT )
00449                         GO TO 120
00450                      ELSE IF( INFO.NE.0 ) THEN
00451                         GO TO 120
00452                      END IF
00453 *
00454 *                    Reconstruct matrix from factors and compute
00455 *                    residual.
00456 *
00457                      CALL DSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00458      $                            AINV, LDA, RWORK, RESULT( 1 ) )
00459 *
00460 *                    Compute residual of the computed solution.
00461 *
00462                      CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00463                      CALL DPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00464      $                            LDA, RWORK, RESULT( 2 ) )
00465 *
00466 *                    Check solution from generated exact solution.
00467 *
00468                      CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00469      $                            RESULT( 3 ) )
00470                      NT = 3
00471 *
00472 *                    Print information about the tests that did not pass
00473 *                    the threshold.
00474 *
00475                      DO 110 K = 1, NT
00476                         IF( RESULT( K ).GE.THRESH ) THEN
00477                            IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00478      $                        CALL ALADHD( NOUT, PATH )
00479                            WRITE( NOUT, FMT = 9999 )'DSYSV ', UPLO, N,
00480      $                        IMAT, K, RESULT( K )
00481                            NFAIL = NFAIL + 1
00482                         END IF
00483   110                CONTINUE
00484                      NRUN = NRUN + NT
00485   120                CONTINUE
00486                   END IF
00487 *
00488 *                 --- Test DSYSVX ---
00489 *
00490                   IF( IFACT.EQ.2 )
00491      $               CALL DLASET( UPLO, N, N, ZERO, ZERO, AFAC, LDA )
00492                   CALL DLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA )
00493 *
00494 *                 Solve the system and compute the condition number and
00495 *                 error bounds using DSYSVX.
00496 *
00497                   SRNAMT = 'DSYSVX'
00498                   CALL DSYSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
00499      $                         IWORK, B, LDA, X, LDA, RCOND, RWORK,
00500      $                         RWORK( NRHS+1 ), WORK, LWORK,
00501      $                         IWORK( N+1 ), INFO )
00502 *
00503 *                 Adjust the expected value of INFO to account for
00504 *                 pivoting.
00505 *
00506                   K = IZERO
00507                   IF( K.GT.0 ) THEN
00508   130                CONTINUE
00509                      IF( IWORK( K ).LT.0 ) THEN
00510                         IF( IWORK( K ).NE.-K ) THEN
00511                            K = -IWORK( K )
00512                            GO TO 130
00513                         END IF
00514                      ELSE IF( IWORK( K ).NE.K ) THEN
00515                         K = IWORK( K )
00516                         GO TO 130
00517                      END IF
00518                   END IF
00519 *
00520 *                 Check the error code from DSYSVX.
00521 *
00522                   IF( INFO.NE.K ) THEN
00523                      CALL ALAERH( PATH, 'DSYSVX', INFO, K, FACT // UPLO,
00524      $                            N, N, -1, -1, NRHS, IMAT, NFAIL,
00525      $                            NERRS, NOUT )
00526                      GO TO 150
00527                   END IF
00528 *
00529                   IF( INFO.EQ.0 ) THEN
00530                      IF( IFACT.GE.2 ) THEN
00531 *
00532 *                       Reconstruct matrix from factors and compute
00533 *                       residual.
00534 *
00535                         CALL DSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00536      $                               AINV, LDA, RWORK( 2*NRHS+1 ),
00537      $                               RESULT( 1 ) )
00538                         K1 = 1
00539                      ELSE
00540                         K1 = 2
00541                      END IF
00542 *
00543 *                    Compute residual of the computed solution.
00544 *
00545                      CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00546                      CALL DPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00547      $                            LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
00548 *
00549 *                    Check solution from generated exact solution.
00550 *
00551                      CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00552      $                            RESULT( 3 ) )
00553 *
00554 *                    Check the error bounds from iterative refinement.
00555 *
00556                      CALL DPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
00557      $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
00558      $                            RESULT( 4 ) )
00559                   ELSE
00560                      K1 = 6
00561                   END IF
00562 *
00563 *                 Compare RCOND from DSYSVX with the computed value
00564 *                 in RCONDC.
00565 *
00566                   RESULT( 6 ) = DGET06( RCOND, RCONDC )
00567 *
00568 *                 Print information about the tests that did not pass
00569 *                 the threshold.
00570 *
00571                   DO 140 K = K1, 6
00572                      IF( RESULT( K ).GE.THRESH ) THEN
00573                         IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00574      $                     CALL ALADHD( NOUT, PATH )
00575                         WRITE( NOUT, FMT = 9998 )'DSYSVX', FACT, UPLO,
00576      $                     N, IMAT, K, RESULT( K )
00577                         NFAIL = NFAIL + 1
00578                      END IF
00579   140             CONTINUE
00580                   NRUN = NRUN + 7 - K1
00581 *
00582   150          CONTINUE
00583 *
00584   160       CONTINUE
00585   170    CONTINUE
00586   180 CONTINUE
00587 *
00588 *     Print a summary of the results.
00589 *
00590       CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
00591 *
00592  9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
00593      $      ', test ', I2, ', ratio =', G12.5 )
00594  9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
00595      $      ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
00596       RETURN
00597 *
00598 *     End of DDRVSY
00599 *
00600       END
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