1*> \brief \b CDRVSYX
2*
3*  =========== DOCUMENTATION ===========
4*
5* Online html documentation available at
6*            http://www.netlib.org/lapack/explore-html/
7*
8*  Definition:
9*  ===========
10*
11*       SUBROUTINE CDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
12*                          A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
13*                          NOUT )
14*
15*       .. Scalar Arguments ..
16*       LOGICAL            TSTERR
17*       INTEGER            NMAX, NN, NOUT, NRHS
18*       REAL               THRESH
19*       ..
20*       .. Array Arguments ..
21*       LOGICAL            DOTYPE( * )
22*       INTEGER            IWORK( * ), NVAL( * )
23*       REAL               RWORK( * )
24*       COMPLEX            A( * ), AFAC( * ), AINV( * ), B( * ),
25*      $                   WORK( * ), X( * ), XACT( * )
26*       ..
27*
28*
29*> \par Purpose:
30*  =============
31*>
32*> \verbatim
33*>
34*> CDRVSY tests the driver routines CSYSV, -SVX, and -SVXX.
35*>
36*> Note that this file is used only when the XBLAS are available,
37*> otherwise cdrvsy.f defines this subroutine.
38*> \endverbatim
39*
40*  Arguments:
41*  ==========
42*
43*> \param[in] DOTYPE
44*> \verbatim
45*>          DOTYPE is LOGICAL array, dimension (NTYPES)
46*>          The matrix types to be used for testing.  Matrices of type j
47*>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
48*>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
49*> \endverbatim
50*>
51*> \param[in] NN
52*> \verbatim
53*>          NN is INTEGER
54*>          The number of values of N contained in the vector NVAL.
55*> \endverbatim
56*>
57*> \param[in] NVAL
58*> \verbatim
59*>          NVAL is INTEGER array, dimension (NN)
60*>          The values of the matrix dimension N.
61*> \endverbatim
62*>
63*> \param[in] NRHS
64*> \verbatim
65*>          NRHS is INTEGER
66*>          The number of right hand side vectors to be generated for
67*>          each linear system.
68*> \endverbatim
69*>
70*> \param[in] THRESH
71*> \verbatim
72*>          THRESH is REAL
73*>          The threshold value for the test ratios.  A result is
74*>          included in the output file if RESULT >= THRESH.  To have
75*>          every test ratio printed, use THRESH = 0.
76*> \endverbatim
77*>
78*> \param[in] TSTERR
79*> \verbatim
80*>          TSTERR is LOGICAL
81*>          Flag that indicates whether error exits are to be tested.
82*> \endverbatim
83*>
84*> \param[in] NMAX
85*> \verbatim
86*>          NMAX is INTEGER
87*>          The maximum value permitted for N, used in dimensioning the
88*>          work arrays.
89*> \endverbatim
90*>
91*> \param[out] A
92*> \verbatim
93*>          A is COMPLEX array, dimension (NMAX*NMAX)
94*> \endverbatim
95*>
96*> \param[out] AFAC
97*> \verbatim
98*>          AFAC is COMPLEX array, dimension (NMAX*NMAX)
99*> \endverbatim
100*>
101*> \param[out] AINV
102*> \verbatim
103*>          AINV is COMPLEX array, dimension (NMAX*NMAX)
104*> \endverbatim
105*>
106*> \param[out] B
107*> \verbatim
108*>          B is COMPLEX array, dimension (NMAX*NRHS)
109*> \endverbatim
110*>
111*> \param[out] X
112*> \verbatim
113*>          X is COMPLEX array, dimension (NMAX*NRHS)
114*> \endverbatim
115*>
116*> \param[out] XACT
117*> \verbatim
118*>          XACT is COMPLEX array, dimension (NMAX*NRHS)
119*> \endverbatim
120*>
121*> \param[out] WORK
122*> \verbatim
123*>          WORK is COMPLEX array, dimension
124*>                      (NMAX*max(2,NRHS))
125*> \endverbatim
126*>
127*> \param[out] RWORK
128*> \verbatim
129*>          RWORK is REAL array, dimension (2*NMAX+2*NRHS)
130*> \endverbatim
131*>
132*> \param[out] IWORK
133*> \verbatim
134*>          IWORK is INTEGER array, dimension (NMAX)
135*> \endverbatim
136*>
137*> \param[in] NOUT
138*> \verbatim
139*>          NOUT is INTEGER
140*>          The unit number for output.
141*> \endverbatim
142*
143*  Authors:
144*  ========
145*
146*> \author Univ. of Tennessee
147*> \author Univ. of California Berkeley
148*> \author Univ. of Colorado Denver
149*> \author NAG Ltd.
150*
151*> \ingroup complex_lin
152*
153*  =====================================================================
154      SUBROUTINE CDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
155     $                   A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
156     $                   NOUT )
157*
158*  -- LAPACK test routine --
159*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
160*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
161*
162*     .. Scalar Arguments ..
163      LOGICAL            TSTERR
164      INTEGER            NMAX, NN, NOUT, NRHS
165      REAL               THRESH
166*     ..
167*     .. Array Arguments ..
168      LOGICAL            DOTYPE( * )
169      INTEGER            IWORK( * ), NVAL( * )
170      REAL               RWORK( * )
171      COMPLEX            A( * ), AFAC( * ), AINV( * ), B( * ),
172     $                   WORK( * ), X( * ), XACT( * )
173*     ..
174*
175*  =====================================================================
176*
177*     .. Parameters ..
178      REAL               ONE, ZERO
179      PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
180      INTEGER            NTYPES, NTESTS
181      PARAMETER          ( NTYPES = 11, NTESTS = 6 )
182      INTEGER            NFACT
183      PARAMETER          ( NFACT = 2 )
184*     ..
185*     .. Local Scalars ..
186      LOGICAL            ZEROT
187      CHARACTER          DIST, EQUED, FACT, TYPE, UPLO, XTYPE
188      CHARACTER*3        PATH
189      INTEGER            I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
190     $                   IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
191     $                   NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT,
192     $                   N_ERR_BNDS
193      REAL               AINVNM, ANORM, CNDNUM, RCOND, RCONDC,
194     $                   RPVGRW_SVXX
195*     ..
196*     .. Local Arrays ..
197      CHARACTER          FACTS( NFACT ), UPLOS( 2 )
198      INTEGER            ISEED( 4 ), ISEEDY( 4 )
199      REAL               RESULT( NTESTS ), BERR( NRHS ),
200     $                   ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
201*     ..
202*     .. External Functions ..
203      REAL               CLANSY, SGET06
204      EXTERNAL           CLANSY, SGET06
205*     ..
206*     .. External Subroutines ..
207      EXTERNAL           ALADHD, ALAERH, ALASVM, CERRVX, CGET04, CLACPY,
208     $                   CLARHS, CLASET, CLATB4, CLATMS, CLATSY, CPOT05,
209     $                   CSYSV, CSYSVX, CSYT01, CSYT02, CSYTRF, CSYTRI2,
210     $                   XLAENV, CSYSVXX
211*     ..
212*     .. Scalars in Common ..
213      LOGICAL            LERR, OK
214      CHARACTER*32       SRNAMT
215      INTEGER            INFOT, NUNIT
216*     ..
217*     .. Common blocks ..
218      COMMON             / INFOC / INFOT, NUNIT, OK, LERR
219      COMMON             / SRNAMC / SRNAMT
220*     ..
221*     .. Intrinsic Functions ..
222      INTRINSIC          CMPLX, MAX, MIN
223*     ..
224*     .. Data statements ..
225      DATA               ISEEDY / 1988, 1989, 1990, 1991 /
226      DATA               UPLOS / 'U', 'L' / , FACTS / 'F', 'N' /
227*     ..
228*     .. Executable Statements ..
229*
230*     Initialize constants and the random number seed.
231*
232      PATH( 1: 1 ) = 'Complex precision'
233      PATH( 2: 3 ) = 'SY'
234      NRUN = 0
235      NFAIL = 0
236      NERRS = 0
237      DO 10 I = 1, 4
238         ISEED( I ) = ISEEDY( I )
239   10 CONTINUE
240      LWORK = MAX( 2*NMAX, NMAX*NRHS )
241*
242*     Test the error exits
243*
244      IF( TSTERR )
245     $   CALL CERRVX( PATH, NOUT )
246      INFOT = 0
247*
248*     Set the block size and minimum block size for testing.
249*
250      NB = 1
251      NBMIN = 2
252      CALL XLAENV( 1, NB )
253      CALL XLAENV( 2, NBMIN )
254*
255*     Do for each value of N in NVAL
256*
257      DO 180 IN = 1, NN
258         N = NVAL( IN )
259         LDA = MAX( N, 1 )
260         XTYPE = 'N'
261         NIMAT = NTYPES
262         IF( N.LE.0 )
263     $      NIMAT = 1
264*
265         DO 170 IMAT = 1, NIMAT
266*
267*           Do the tests only if DOTYPE( IMAT ) is true.
268*
269            IF( .NOT.DOTYPE( IMAT ) )
270     $         GO TO 170
271*
272*           Skip types 3, 4, 5, or 6 if the matrix size is too small.
273*
274            ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
275            IF( ZEROT .AND. N.LT.IMAT-2 )
276     $         GO TO 170
277*
278*           Do first for UPLO = 'U', then for UPLO = 'L'
279*
280            DO 160 IUPLO = 1, 2
281               UPLO = UPLOS( IUPLO )
282*
283               IF( IMAT.NE.NTYPES ) THEN
284*
285*                 Set up parameters with CLATB4 and generate a test
286*                 matrix with CLATMS.
287*
288                  CALL CLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
289     $                         MODE, CNDNUM, DIST )
290*
291                  SRNAMT = 'CLATMS'
292                  CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
293     $                         CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
294     $                         WORK, INFO )
295*
296*                 Check error code from CLATMS.
297*
298                  IF( INFO.NE.0 ) THEN
299                     CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N,
300     $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
301                     GO TO 160
302                  END IF
303*
304*                 For types 3-6, zero one or more rows and columns of
305*                 the matrix to test that INFO is returned correctly.
306*
307                  IF( ZEROT ) THEN
308                     IF( IMAT.EQ.3 ) THEN
309                        IZERO = 1
310                     ELSE IF( IMAT.EQ.4 ) THEN
311                        IZERO = N
312                     ELSE
313                        IZERO = N / 2 + 1
314                     END IF
315*
316                     IF( IMAT.LT.6 ) THEN
317*
318*                       Set row and column IZERO to zero.
319*
320                        IF( IUPLO.EQ.1 ) THEN
321                           IOFF = ( IZERO-1 )*LDA
322                           DO 20 I = 1, IZERO - 1
323                              A( IOFF+I ) = ZERO
324   20                      CONTINUE
325                           IOFF = IOFF + IZERO
326                           DO 30 I = IZERO, N
327                              A( IOFF ) = ZERO
328                              IOFF = IOFF + LDA
329   30                      CONTINUE
330                        ELSE
331                           IOFF = IZERO
332                           DO 40 I = 1, IZERO - 1
333                              A( IOFF ) = ZERO
334                              IOFF = IOFF + LDA
335   40                      CONTINUE
336                           IOFF = IOFF - IZERO
337                           DO 50 I = IZERO, N
338                              A( IOFF+I ) = ZERO
339   50                      CONTINUE
340                        END IF
341                     ELSE
342                        IF( IUPLO.EQ.1 ) THEN
343*
344*                          Set the first IZERO rows to zero.
345*
346                           IOFF = 0
347                           DO 70 J = 1, N
348                              I2 = MIN( J, IZERO )
349                              DO 60 I = 1, I2
350                                 A( IOFF+I ) = ZERO
351   60                         CONTINUE
352                              IOFF = IOFF + LDA
353   70                      CONTINUE
354                        ELSE
355*
356*                          Set the last IZERO rows to zero.
357*
358                           IOFF = 0
359                           DO 90 J = 1, N
360                              I1 = MAX( J, IZERO )
361                              DO 80 I = I1, N
362                                 A( IOFF+I ) = ZERO
363   80                         CONTINUE
364                              IOFF = IOFF + LDA
365   90                      CONTINUE
366                        END IF
367                     END IF
368                  ELSE
369                     IZERO = 0
370                  END IF
371               ELSE
372*
373*                 IMAT = NTYPES:  Use a special block diagonal matrix to
374*                 test alternate code for the 2-by-2 blocks.
375*
376                  CALL CLATSY( UPLO, N, A, LDA, ISEED )
377               END IF
378*
379               DO 150 IFACT = 1, NFACT
380*
381*                 Do first for FACT = 'F', then for other values.
382*
383                  FACT = FACTS( IFACT )
384*
385*                 Compute the condition number for comparison with
386*                 the value returned by CSYSVX.
387*
388                  IF( ZEROT ) THEN
389                     IF( IFACT.EQ.1 )
390     $                  GO TO 150
391                     RCONDC = ZERO
392*
393                  ELSE IF( IFACT.EQ.1 ) THEN
394*
395*                    Compute the 1-norm of A.
396*
397                     ANORM = CLANSY( '1', UPLO, N, A, LDA, RWORK )
398*
399*                    Factor the matrix A.
400*
401                     CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
402                     CALL CSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK,
403     $                            LWORK, INFO )
404*
405*                    Compute inv(A) and take its norm.
406*
407                     CALL CLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
408                     LWORK = (N+NB+1)*(NB+3)
409                     CALL CSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK,
410     $                            LWORK, INFO )
411                     AINVNM = CLANSY( '1', UPLO, N, AINV, LDA, RWORK )
412*
413*                    Compute the 1-norm condition number of A.
414*
415                     IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
416                        RCONDC = ONE
417                     ELSE
418                        RCONDC = ( ONE / ANORM ) / AINVNM
419                     END IF
420                  END IF
421*
422*                 Form an exact solution and set the right hand side.
423*
424                  SRNAMT = 'CLARHS'
425                  CALL CLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
426     $                         NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
427     $                         INFO )
428                  XTYPE = 'C'
429*
430*                 --- Test CSYSV  ---
431*
432                  IF( IFACT.EQ.2 ) THEN
433                     CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
434                     CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
435*
436*                    Factor the matrix and solve the system using CSYSV.
437*
438                     SRNAMT = 'CSYSV '
439                     CALL CSYSV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
440     $                           LDA, WORK, LWORK, INFO )
441*
442*                    Adjust the expected value of INFO to account for
443*                    pivoting.
444*
445                     K = IZERO
446                     IF( K.GT.0 ) THEN
447  100                   CONTINUE
448                        IF( IWORK( K ).LT.0 ) THEN
449                           IF( IWORK( K ).NE.-K ) THEN
450                              K = -IWORK( K )
451                              GO TO 100
452                           END IF
453                        ELSE IF( IWORK( K ).NE.K ) THEN
454                           K = IWORK( K )
455                           GO TO 100
456                        END IF
457                     END IF
458*
459*                    Check error code from CSYSV .
460*
461                     IF( INFO.NE.K ) THEN
462                        CALL ALAERH( PATH, 'CSYSV ', INFO, K, UPLO, N,
463     $                               N, -1, -1, NRHS, IMAT, NFAIL,
464     $                               NERRS, NOUT )
465                        GO TO 120
466                     ELSE IF( INFO.NE.0 ) THEN
467                        GO TO 120
468                     END IF
469*
470*                    Reconstruct matrix from factors and compute
471*                    residual.
472*
473                     CALL CSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
474     $                            AINV, LDA, RWORK, RESULT( 1 ) )
475*
476*                    Compute residual of the computed solution.
477*
478                     CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
479                     CALL CSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
480     $                            LDA, RWORK, RESULT( 2 ) )
481*
482*                    Check solution from generated exact solution.
483*
484                     CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
485     $                            RESULT( 3 ) )
486                     NT = 3
487*
488*                    Print information about the tests that did not pass
489*                    the threshold.
490*
491                     DO 110 K = 1, NT
492                        IF( RESULT( K ).GE.THRESH ) THEN
493                           IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
494     $                        CALL ALADHD( NOUT, PATH )
495                           WRITE( NOUT, FMT = 9999 )'CSYSV ', UPLO, N,
496     $                        IMAT, K, RESULT( K )
497                           NFAIL = NFAIL + 1
498                        END IF
499  110                CONTINUE
500                     NRUN = NRUN + NT
501  120                CONTINUE
502                  END IF
503*
504*                 --- Test CSYSVX ---
505*
506                  IF( IFACT.EQ.2 )
507     $               CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
508     $                            CMPLX( ZERO ), AFAC, LDA )
509                  CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
510     $                         CMPLX( ZERO ), X, LDA )
511*
512*                 Solve the system and compute the condition number and
513*                 error bounds using CSYSVX.
514*
515                  SRNAMT = 'CSYSVX'
516                  CALL CSYSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
517     $                         IWORK, B, LDA, X, LDA, RCOND, RWORK,
518     $                         RWORK( NRHS+1 ), WORK, LWORK,
519     $                         RWORK( 2*NRHS+1 ), INFO )
520*
521*                 Adjust the expected value of INFO to account for
522*                 pivoting.
523*
524                  K = IZERO
525                  IF( K.GT.0 ) THEN
526  130                CONTINUE
527                     IF( IWORK( K ).LT.0 ) THEN
528                        IF( IWORK( K ).NE.-K ) THEN
529                           K = -IWORK( K )
530                           GO TO 130
531                        END IF
532                     ELSE IF( IWORK( K ).NE.K ) THEN
533                        K = IWORK( K )
534                        GO TO 130
535                     END IF
536                  END IF
537*
538*                 Check the error code from CSYSVX.
539*
540                  IF( INFO.NE.K ) THEN
541                     CALL ALAERH( PATH, 'CSYSVX', INFO, K, FACT // UPLO,
542     $                            N, N, -1, -1, NRHS, IMAT, NFAIL,
543     $                            NERRS, NOUT )
544                     GO TO 150
545                  END IF
546*
547                  IF( INFO.EQ.0 ) THEN
548                     IF( IFACT.GE.2 ) THEN
549*
550*                       Reconstruct matrix from factors and compute
551*                       residual.
552*
553                        CALL CSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
554     $                               AINV, LDA, RWORK( 2*NRHS+1 ),
555     $                               RESULT( 1 ) )
556                        K1 = 1
557                     ELSE
558                        K1 = 2
559                     END IF
560*
561*                    Compute residual of the computed solution.
562*
563                     CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
564                     CALL CSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
565     $                            LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
566*
567*                    Check solution from generated exact solution.
568*
569                     CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
570     $                            RESULT( 3 ) )
571*
572*                    Check the error bounds from iterative refinement.
573*
574                     CALL CPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
575     $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
576     $                            RESULT( 4 ) )
577                  ELSE
578                     K1 = 6
579                  END IF
580*
581*                 Compare RCOND from CSYSVX with the computed value
582*                 in RCONDC.
583*
584                  RESULT( 6 ) = SGET06( RCOND, RCONDC )
585*
586*                 Print information about the tests that did not pass
587*                 the threshold.
588*
589                  DO 140 K = K1, 6
590                     IF( RESULT( K ).GE.THRESH ) THEN
591                        IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
592     $                     CALL ALADHD( NOUT, PATH )
593                        WRITE( NOUT, FMT = 9998 )'CSYSVX', FACT, UPLO,
594     $                     N, IMAT, K, RESULT( K )
595                        NFAIL = NFAIL + 1
596                     END IF
597  140             CONTINUE
598                  NRUN = NRUN + 7 - K1
599*
600*                 --- Test CSYSVXX ---
601*
602*                 Restore the matrices A and B.
603*
604                  IF( IFACT.EQ.2 )
605     $               CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
606     $                 CMPLX( ZERO ), AFAC, LDA )
607                  CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
608     $                 CMPLX( ZERO ), X, LDA )
609*
610*                 Solve the system and compute the condition number
611*                 and error bounds using CSYSVXX.
612*
613                  SRNAMT = 'CSYSVXX'
614                  N_ERR_BNDS = 3
615                  EQUED = 'N'
616                  CALL CSYSVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
617     $                 LDA, IWORK, EQUED, WORK( N+1 ), B, LDA, X,
618     $                 LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
619     $                 ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
620     $                 RWORK, INFO )
621*
622*                 Adjust the expected value of INFO to account for
623*                 pivoting.
624*
625                  K = IZERO
626                  IF( K.GT.0 ) THEN
627 135                 CONTINUE
628                     IF( IWORK( K ).LT.0 ) THEN
629                        IF( IWORK( K ).NE.-K ) THEN
630                           K = -IWORK( K )
631                           GO TO 135
632                        END IF
633                     ELSE IF( IWORK( K ).NE.K ) THEN
634                        K = IWORK( K )
635                        GO TO 135
636                     END IF
637                  END IF
638*
639*                 Check the error code from CSYSVXX.
640*
641                  IF( INFO.NE.K .AND. INFO.LE.N ) THEN
642                     CALL ALAERH( PATH, 'CSYSVXX', INFO, K,
643     $                    FACT // UPLO, N, N, -1, -1, NRHS, IMAT, NFAIL,
644     $                    NERRS, NOUT )
645                     GO TO 150
646                  END IF
647*
648                  IF( INFO.EQ.0 ) THEN
649                     IF( IFACT.GE.2 ) THEN
650*
651*                 Reconstruct matrix from factors and compute
652*                 residual.
653*
654                        CALL CSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
655     $                       AINV, LDA, RWORK(2*NRHS+1),
656     $                       RESULT( 1 ) )
657                        K1 = 1
658                     ELSE
659                        K1 = 2
660                     END IF
661*
662*                 Compute residual of the computed solution.
663*
664                     CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
665                     CALL CSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
666     $                    LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
667                     RESULT( 2 ) = 0.0
668*
669*                 Check solution from generated exact solution.
670*
671                     CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
672     $                    RESULT( 3 ) )
673*
674*                 Check the error bounds from iterative refinement.
675*
676                     CALL CPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
677     $                    XACT, LDA, RWORK, RWORK( NRHS+1 ),
678     $                    RESULT( 4 ) )
679                  ELSE
680                     K1 = 6
681                  END IF
682*
683*                 Compare RCOND from CSYSVXX with the computed value
684*                 in RCONDC.
685*
686                  RESULT( 6 ) = SGET06( RCOND, RCONDC )
687*
688*                 Print information about the tests that did not pass
689*                 the threshold.
690*
691                  DO 85 K = K1, 6
692                     IF( RESULT( K ).GE.THRESH ) THEN
693                        IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
694     $                       CALL ALADHD( NOUT, PATH )
695                        WRITE( NOUT, FMT = 9998 )'CSYSVXX',
696     $                       FACT, UPLO, N, IMAT, K,
697     $                       RESULT( K )
698                        NFAIL = NFAIL + 1
699                     END IF
700 85               CONTINUE
701                  NRUN = NRUN + 7 - K1
702*
703  150          CONTINUE
704*
705  160       CONTINUE
706  170    CONTINUE
707  180 CONTINUE
708*
709*     Print a summary of the results.
710*
711      CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
712*
713
714*     Test Error Bounds from CSYSVXX
715
716      CALL CEBCHVXX(THRESH, PATH)
717
718 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
719     $      ', test ', I2, ', ratio =', G12.5 )
720 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
721     $      ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
722      RETURN
723*
724*     End of CDRVSYX
725*
726      END
727