final version of the routine dchksy_rook.f that tests dsytrf_rook.f dsytri_rook.f...
authorigor175 <igor175@8a072113-8704-0410-8d35-dd094bca7971>
Sun, 25 Dec 2011 03:14:59 +0000 (03:14 +0000)
committerigor175 <igor175@8a072113-8704-0410-8d35-dd094bca7971>
Sun, 25 Dec 2011 03:14:59 +0000 (03:14 +0000)
TESTING/LIN/dchksy_rook.f

index 62cdc31..c889271 100644 (file)
@@ -2,8 +2,8 @@
 *
 *  =========== DOCUMENTATION ===========
 *
-* Online html documentation available at
-*            http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
 *
 *  Definition:
 *  ===========
@@ -11,7 +11,7 @@
 *       SUBROUTINE DCHKSY_ROOK( 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
 *       DOUBLE PRECISION   A( * ), AFAC( * ), AINV( * ), B( * ),
 *      $                   RWORK( * ), WORK( * ), X( * ), XACT( * )
 *       ..
-*
+*  
 *
 *> \par Purpose:
 *  =============
 *>
 *> \verbatim
 *>
-*> DCHKSY_ROOK tests DSYTRF, -TRI_ROOK, -TRS_ROOK, -RFS_ROOK,
+*> DCHKSY_ROOK tests DSYTRF_ROOK, -TRI_ROOK, -TRS_ROOK,
 *> and -CON_ROOK.
 *> \endverbatim
 *
 *  Authors:
 *  ========
 *
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
 *
 *> \date November 2011
 *
 *  =====================================================================
 *
 *     .. Parameters ..
-      DOUBLE PRECISION   ZERO
-      PARAMETER          ( ZERO = 0.0D+0 )
+      DOUBLE PRECISION   ZERO, ONE
+      PARAMETER          ( ZERO = 0.0D+0, ONE = 1.0D+0 )
+      DOUBLE PRECISION   EIGHT, SEVTEN
+      PARAMETER          ( EIGHT = 8.0D+0, SEVTEN = 17.0D+0 )
       INTEGER            NTYPES
       PARAMETER          ( NTYPES = 10 )
       INTEGER            NTESTS
-      PARAMETER          ( NTESTS = 9 )
+      PARAMETER          ( NTESTS = 7 )
 *     ..
 *     .. Local Scalars ..
       LOGICAL            TRFCON, ZEROT
       CHARACTER          DIST, TYPE, UPLO, XTYPE
-      CHARACTER*3        PATH
+      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
+     $                   ITEMP, IUPLO, IZERO, J, K, KL, KU, LDA, LWORK,
+     $                   MODE, N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN,
+     $                   NT
+      DOUBLE PRECISION   ALPHA, ANORM, CNDNUM, CONST, DTEMP, LAM_MAX,
+     $                   LAM_MIN, RCOND, RCONDC
 *     ..
 *     .. Local Arrays ..
       CHARACTER          UPLOS( 2 )
-      INTEGER            ISEED( 4 ), ISEEDY( 4 )
-      DOUBLE PRECISION   RESULT( NTESTS )
+      INTEGER            IDUMMY( 1 ), ISEED( 4 ), ISEEDY( 4 )
+      DOUBLE PRECISION   DDUMMY( 1 ), RESULT( NTESTS )
 *     ..
 *     .. External Functions ..
-      DOUBLE PRECISION   DGET06, DLANSY
-      EXTERNAL           DGET06, DLANSY
+      DOUBLE PRECISION   DGET06, DLANGE, DLANSY
+      EXTERNAL           DGET06, DLANGE, DLANSY
 *     ..
 *     .. External Subroutines ..
       EXTERNAL           ALAERH, ALAHD, ALASUM, DERRSY, DGET04, DLACPY,
-     $                   DLARHS, DLATB4, DLATMS, DPOT02, DPOT03, DPOT05,
-     $                   DSYCON, DSYRFS, DSYT01, DSYTRF,
-     $                   DSYTRI2, DSYTRS, DSYTRS2, XLAENV
+     $                   DLARHS, DLATB4, DLATMS, DPOT02, DPOT03, DSYEVX,
+     $                   DSYCON_ROOK, DSYT01_ROOK, DSYTRF_ROOK,
+     $                   DSYTRI_ROOK, DSYTRS_ROOK, XLAENV
 *     ..
 *     .. Intrinsic Functions ..
-      INTRINSIC          MAX, MIN
+      INTRINSIC          ABS, MAX, MIN, SQRT
 *     ..
 *     .. Scalars in Common ..
       LOGICAL            LERR, OK
 *
 *     Initialize constants and the random number seed.
 *
+      ALPHA = ( ONE+SQRT( SEVTEN ) ) / EIGHT
+*
+*     Test path
+*
       PATH( 1: 1 ) = 'Double precision'
-      PATH( 2: 3 ) = 'SY'
+      PATH( 2: 3 ) = 'SR'
+*
+*     Path to generate matrices
+*
+      MATPATH( 1: 1 ) = 'Double precision'
+      MATPATH( 2: 3 ) = 'SY'
+*
       NRUN = 0
       NFAIL = 0
       NERRS = 0
 *
 *     Do for each value of N in NVAL
 *
-      DO 180 IN = 1, NN
+      DO 270 IN = 1, NN
          N = NVAL( IN )
          LDA = MAX( N, 1 )
          XTYPE = 'N'
 *
 *        Do for each value of matrix type IMAT
 *
-         DO 170 IMAT = 1, NIMAT
+         DO 260 IMAT = 1, NIMAT
 *
 *           Do the tests only if DOTYPE( IMAT ) is true.
 *
             IF( .NOT.DOTYPE( IMAT ) )
-     $         GO TO 170
+     $         GO TO 260
 *
 *           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
+     $         GO TO 260
 *
 *           Do first for UPLO = 'U', then for UPLO = 'L'
 *
-            DO 160 IUPLO = 1, 2
+            DO 250 IUPLO = 1, 2
                UPLO = UPLOS( IUPLO )
 *
-*              Set up parameters with DLATB4 and generate a test matrix
-*              with DLATMS.
+*              Begin generate the test matrix A.
+*
+*              Set up parameters with DLATB4 for the matrix generator
+*              based on the type of matrix to be generated.
 *
-               CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
-     $                      CNDNUM, DIST )
+               CALL DLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM,
+     $                      MODE, CNDNUM, DIST )
+*
+*              Generate a matrix with DLATMS.
 *
                SRNAMT = 'DLATMS'
                CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
      $                      CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
      $                      INFO )
 *
-*              Check error code from DLATMS.
+*              Check error code from DLATMS and handle error.
 *
                IF( INFO.NE.0 ) THEN
                   CALL ALAERH( PATH, 'DLATMS', INFO, 0, UPLO, N, N, -1,
      $                         -1, -1, IMAT, NFAIL, NERRS, NOUT )
-                  GO TO 160
+*
+*                 Skip all tests for this generated matrix
+*
+                  GO TO 250
                END IF
 *
-*              For types 3-6, zero one or more rows and columns of
-*              the matrix to test that INFO is returned correctly.
+*              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 = 0
                END IF
 *
+*              End generate the test matrix A.
+*
 *              Do for each value of NB in NBVAL
 *
-               DO 150 INB = 1, NNB
+               DO 240 INB = 1, NNB
+*
+*                 Set the optimal blocksize, which will be later
+*                 returned by ILAENV.
+*
                   NB = NBVAL( INB )
                   CALL XLAENV( 1, NB )
 *
-*                 Compute the L*D*L' or U*D*U' factorization of the
-*                 matrix.
+*                 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 DLACPY( 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.
+*
                   LWORK = MAX( 2, NB )*LDA
-                  SRNAMT = 'DSYTRF'
-                  CALL DSYTRF( UPLO, N, AFAC, LDA, IWORK, AINV, LWORK,
-     $                         INFO )
+                  SRNAMT = 'DSYTRF_ROOK'
+                  CALL DSYTRF_ROOK( UPLO, N, AFAC, LDA, IWORK, AINV,
+     $                              LWORK, INFO )
 *
 *                 Adjust the expected value of INFO to account for
 *                 pivoting.
                      END IF
                   END IF
 *
-*                 Check error code from DSYTRF.
+*                 Check error code from DSYTRF and handle error.
+*
+                  IF( INFO.NE.K)
+     $               CALL ALAERH( PATH, 'DSYTRF_ROOK', INFO, K,
+     $                            UPLO,N, N, -1, -1, NB, IMAT,
+     $                            NFAIL, NERRS, NOUT )
+*
+*                 Set the condition estimate flag if the INFO is not 0.
 *
-                  IF( INFO.NE.K )
-     $               CALL ALAERH( PATH, 'DSYTRF', INFO, K, UPLO, N, N,
-     $                            -1, -1, NB, IMAT, NFAIL, NERRS, NOUT )
                   IF( INFO.NE.0 ) THEN
                      TRFCON = .TRUE.
                   ELSE
 *+    TEST 1
 *                 Reconstruct matrix from factors and compute residual.
 *
-                  CALL DSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK, AINV,
-     $                         LDA, RWORK, RESULT( 1 ) )
+                  CALL DSYT01_ROOK( UPLO, N, A, LDA, AFAC, LDA, IWORK,
+     $                              AINV, LDA, RWORK, RESULT( 1 ) )
                   NT = 1
 *
 *+    TEST 2
-*                 Form the inverse and compute the residual.
+*                 Form the inverse and compute the residual,
+*                 if the factorization was competed without INFO > 0
+*                 (i.e. there is no zero rows and columns).
+*                 Do it only for the first block size.
 *
                   IF( INB.EQ.1 .AND. .NOT.TRFCON ) THEN
                      CALL DLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
-                     SRNAMT = 'DSYTRI2'
+                     SRNAMT = 'DSYTRI_ROOK'
                      LWORK = (N+NB+1)*(NB+3)
-                     CALL DSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK,
+                     CALL DSYTRI_ROOK( UPLO, N, AINV, LDA, IWORK, WORK,
      $                            LWORK, INFO )
 *
-*                 Check error code from DSYTRI2.
+*                    Check error code from DSYTRI_ROOK and handle error.
 *
                      IF( INFO.NE.0 )
-     $                  CALL ALAERH( PATH, 'DSYTRI2', INFO, -1, UPLO, N,
-     $                               N, -1, -1, -1, IMAT, NFAIL, NERRS,
-     $                               NOUT )
+     $                  CALL ALAERH( PATH, 'DSYTRI_ROOK', INFO, -1,
+     $                               UPLO, N, N, -1, -1, -1, IMAT,
+     $                               NFAIL, NERRS, NOUT )
+*
+*                    Compute the residual for a symmetric matrix times
+*                    its inverse.
 *
                      CALL DPOT03( UPLO, N, A, LDA, AINV, LDA, WORK, LDA,
      $                            RWORK, RCONDC, RESULT( 2 ) )
   110             CONTINUE
                   NRUN = NRUN + NT
 *
+*+    TEST 3
+*                 Compute largest element in U or L
+*
+                  RESULT( 3 ) = ZERO
+                  DTEMP = ZERO
+*
+                  CONST = ONE / ( ONE-ALPHA )
+*
+                  IF( IUPLO.EQ.1 ) THEN
+*
+*                 Compute largest element in U
+*
+                     K = N
+  120                CONTINUE
+                     IF( K.LE.1 )
+     $                  GO TO 130
+*
+                     IF( IWORK( K ).GT.ZERO ) THEN
+*
+*                       Get max absolute value from elements
+*                       in column k in in U
+*
+                        DTEMP = DLANGE( 'M', K-1, 1,
+     $                          AFAC( ( K-1 )*LDA+1 ), LDA, RWORK )
+                     ELSE
+*
+*                       Get max absolute value from elements
+*                       in columns k and k-1 in U
+*
+                        DTEMP = DLANGE( 'M', K-2, 2,
+     $                          AFAC( ( K-2 )*LDA+1 ), LDA, RWORK )
+                        K = K - 1
+*
+                     END IF
+*
+*                    DTEMP should be bounded CONST
+*
+                     DTEMP = DTEMP - CONST + THRESH
+                     IF( DTEMP.GT.RESULT( 3 ) )
+     $                  RESULT( 3 ) = DTEMP
+*
+                     K = K - 1
+*
+                     GO TO 120
+  130                CONTINUE
+*
+                  ELSE
+*
+*                 Compute largest element in L
+*
+                     K = 1
+  140                CONTINUE
+                     IF( K.GE.N )
+     $                  GO TO 150
+*
+                     IF( IWORK( K ).GT.ZERO ) THEN
+*
+*                       Get max absolute value from elements
+*                       in column k in in L
+*
+                        DTEMP = DLANGE( 'M', N-K, 1,
+     $                          AFAC( ( K-1 )*LDA+K+1 ), LDA, RWORK )
+                     ELSE
+*
+*                       Get max absolute value from elements
+*                       in columns k and k+1 in L
+*
+                        DTEMP = DLANGE( 'M', N-K-1, 2,
+     $                          AFAC( ( K-1 )*LDA+K+2 ), LDA, RWORK )
+                        K = K + 1
+*
+                     END IF
+*
+*                    DTEMP should be bounded CONST
+*
+                     DTEMP = DTEMP - CONST + THRESH
+                     IF( DTEMP.GT.RESULT( 3 ) )
+     $                  RESULT( 3 ) = DTEMP
+*
+                     K = K + 1
+*
+                     GO TO 140
+  150                CONTINUE
+                  END IF
+*
+*
+*+    TEST 4
+*                 Compute largest 2-Norm of 2-by-2 diag blocks
+*
+                  RESULT( 4 ) = ZERO
+                  DTEMP = ZERO
+*
+                  CONST = ( ONE+ALPHA ) / ( ONE-ALPHA )
+                  CALL DLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
+*
+                  IF( IUPLO.EQ.1 ) THEN
+*
+*                    Loop backward for UPLO = 'U'
+*
+                     K = N
+  160                CONTINUE
+                     IF( K.LE.1 )
+     $                  GO TO 170
+*
+                     IF( IWORK( K ).LT.ZERO ) THEN
+*
+*                       Get the two eigenvalues of a 2-by-2 block,
+*                       store them in RWORK array
+*
+                        CALL DSYEVX( 'N', 'A', UPLO, 2,
+     $                              AINV( ( K-2 )*LDA+K-1 ), LDA, DTEMP,
+     $                              DTEMP, ITEMP, ITEMP, ZERO, ITEMP,
+     $                              RWORK, DDUMMY, 1, WORK, 16,
+     $                              IWORK( N+1 ), IDUMMY, INFO )
+*
+                        LAM_MAX = MAX( ABS( RWORK( 1 ) ),
+     $                            ABS( RWORK( 2 ) ) )
+                        LAM_MIN = MIN( ABS( RWORK( 1 ) ),
+     $                            ABS( RWORK( 2 ) ) )
+*
+                        DTEMP = LAM_MAX / LAM_MIN
+                        DTEMP = ABS( DTEMP ) - CONST + THRESH
+                        IF( DTEMP.GT.RESULT( 4 ) )
+     $                     RESULT( 4 ) = DTEMP
+                        K = K - 1
+*
+                     END IF
+*
+                     K = K - 1
+*
+                     GO TO 160
+  170                CONTINUE
+*
+                  ELSE
+*
+*                    Loop forward for UPLO = 'L'
+*
+                     K = 1
+  180                CONTINUE
+                     IF( K.GE.N )
+     $                  GO TO 190
+*
+                     IF( IWORK( K ).LT.ZERO ) THEN
+*
+*                       Get the two eigenvalues of a 2-by-2 block,
+*                       store them in RWORK array
+*
+                        CALL DSYEVX( 'N', 'A', UPLO, 2,
+     $                              AINV( ( K-1 )*LDA+K ), LDA, DTEMP,
+     $                              DTEMP, ITEMP, ITEMP, ZERO, ITEMP,
+     $                              RWORK, DDUMMY, 1, WORK, 16,
+     $                              IWORK( N+1 ), IDUMMY, INFO )
+*
+                        LAM_MAX = MAX( ABS( RWORK( 1 ) ),
+     $                            ABS( RWORK( 2 ) ) )
+                        LAM_MIN = MIN( ABS( RWORK( 1 ) ),
+     $                            ABS( RWORK( 2 ) ) )
+*
+                        DTEMP = LAM_MAX / LAM_MIN
+                        DTEMP = ABS( DTEMP ) - CONST + THRESH
+                        IF( DTEMP.GT.RESULT( 4 ) )
+     $                     RESULT( 4 ) = DTEMP
+                        K = K + 1
+*
+                     END IF
+*
+                     K = K + 1
+*
+                     GO TO 180
+  190                CONTINUE
+                  END IF
+*
+*                 Print information about the tests that did not pass
+*                 the threshold.
+*
+                  DO 200 K = 3, 4
+                     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
+  200             CONTINUE
+                  NRUN = NRUN + NT
+*
 *                 Skip the other tests if this is not the first block
 *                 size.
 *
                   IF( INB.GT.1 )
-     $               GO TO 150
+     $               GO TO 240
 *
 *                 Do only the condition estimate if INFO is not 0.
 *
                   IF( TRFCON ) THEN
                      RCONDC = ZERO
-                     GO TO 140
+                     GO TO 230
                   END IF
 *
-                  DO 130 IRHS = 1, NNS
+                  DO 220 IRHS = 1, NNS
                      NRHS = NSVAL( IRHS )
 *
-*+    TEST 3 ( Using TRS)
-*                 Solve and compute residual for  A * X = B.
-*
-                     SRNAMT = 'DLARHS'
-                     CALL DLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
-     $                            NRHS, A, LDA, XACT, LDA, B, LDA,
-     $                            ISEED, INFO )
-                     CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
-*
-                     SRNAMT = 'DSYTRS'
-                     CALL DSYTRS( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
-     $                            LDA, INFO )
-*
-*                 Check error code from DSYTRS.
+*                    Begin loop over NRHS values
 *
-                     IF( INFO.NE.0 )
-     $                  CALL ALAERH( PATH, 'DSYTRS', INFO, 0, UPLO, N,
-     $                               N, -1, -1, NRHS, IMAT, NFAIL,
-     $                               NERRS, NOUT )
-*
-                     CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
-                     CALL DPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
-     $                            LDA, RWORK, RESULT( 3 ) )
-*
-*+    TEST 4 (Using TRS2)
 *
+*+    TEST 5 ( Using TRS_ROOK)
 *                 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 = 'DLARHS'
-                     CALL DLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
-     $                            NRHS, A, LDA, XACT, LDA, B, LDA,
-     $                            ISEED, INFO )
+                     CALL DLARHS( MATPATH, XTYPE, UPLO, ' ', N, N,
+     $                            KL, KU,NRHS, A, LDA, XACT, LDA,
+     $                            B, LDA,ISEED, INFO )
                      CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 *
-                     SRNAMT = 'DSYTRS2'
-                     CALL DSYTRS2( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
-     $                            LDA, WORK, INFO )
+                     SRNAMT = 'DSYTRS_ROOK'
+                     CALL DSYTRS_ROOK( UPLO, N, NRHS, AFAC, LDA, IWORK,
+     $                                 X, LDA, INFO )
 *
-*                 Check error code from DSYTRS2.
+*                    Check error code from DSYTRS_ROOK and handle error.
 *
                      IF( INFO.NE.0 )
-     $                  CALL ALAERH( PATH, 'DSYTRS2', INFO, 0, UPLO, N,
-     $                               N, -1, -1, NRHS, IMAT, NFAIL,
-     $                               NERRS, NOUT )
+     $                  CALL ALAERH( PATH, 'DSYTRS_ROOK', INFO, 0,
+     $                               UPLO, N, N, -1, -1, NRHS, IMAT,
+     $                               NFAIL, NERRS, NOUT )
 *
                      CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
-                     CALL DPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
-     $                            LDA, RWORK, RESULT( 4 ) )
-*
-*+    TEST 5
-*                 Check solution from generated exact solution.
-*
-                     CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
-     $                            RESULT( 5 ) )
-*
-*+    TESTS 6, 7, and 8
-*                 Use iterative refinement to improve the solution.
 *
-                     SRNAMT = 'DSYRFS'
-                     CALL DSYRFS( UPLO, N, NRHS, A, LDA, AFAC, LDA,
-     $                            IWORK, B, LDA, X, LDA, RWORK,
-     $                            RWORK( NRHS+1 ), WORK, IWORK( N+1 ),
-     $                            INFO )
+*                    Compute the residual for the solution
 *
-*                 Check error code from DSYRFS.
+                     CALL DPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
+     $                            LDA, RWORK, RESULT( 5 ) )
 *
-                     IF( INFO.NE.0 )
-     $                  CALL ALAERH( PATH, 'DSYRFS', INFO, 0, UPLO, N,
-     $                               N, -1, -1, NRHS, IMAT, NFAIL,
-     $                               NERRS, NOUT )
+*+    TEST 6
+*                 Check solution from generated exact solution.
 *
                      CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
      $                            RESULT( 6 ) )
-                     CALL DPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
-     $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
-     $                            RESULT( 7 ) )
 *
 *                    Print information about the tests that did not pass
 *                    the threshold.
 *
-                     DO 120 K = 3, 8
+                     DO 210 K = 5, 6
                         IF( RESULT( K ).GE.THRESH ) THEN
                            IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
      $                        CALL ALAHD( NOUT, PATH )
      $                        IMAT, K, RESULT( K )
                            NFAIL = NFAIL + 1
                         END IF
-  120                CONTINUE
-                     NRUN = NRUN + 5
-  130             CONTINUE
+  210                CONTINUE
+                     NRUN = NRUN + 2
 *
-*+    TEST 9
+*                    End loop over NRHS values
+*
+  220             CONTINUE
+*
+*+    TEST 7
 *                 Get an estimate of RCOND = 1/CNDNUM.
 *
-  140             CONTINUE
+  230             CONTINUE
                   ANORM = DLANSY( '1', UPLO, N, A, LDA, RWORK )
-                  SRNAMT = 'DSYCON'
-                  CALL DSYCON( UPLO, N, AFAC, LDA, IWORK, ANORM, RCOND,
-     $                         WORK, IWORK( N+1 ), INFO )
+                  SRNAMT = 'DSYCON_ROOK'
+                  CALL DSYCON_ROOK( UPLO, N, AFAC, LDA, IWORK, ANORM,
+     $                              RCOND, WORK, IWORK( N+1 ), INFO )
 *
-*                 Check error code from DSYCON.
+*                 Check error code from DSYCON_ROOK and handle error.
 *
                   IF( INFO.NE.0 )
-     $               CALL ALAERH( PATH, 'DSYCON', INFO, 0, UPLO, N, N,
-     $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
+     $               CALL ALAERH( PATH, 'DSYCON_ROOK', INFO, 0,
+     $                             UPLO, N, N, -1, -1, -1, IMAT,
+     $                             NFAIL, NERRS, NOUT )
+*
+*                 Compute the test ratio to compare to values of RCOND
 *
-                  RESULT( 9 ) = DGET06( RCOND, RCONDC )
+                  RESULT( 7 ) = DGET06( RCOND, RCONDC )
 *
 *                 Print information about the tests that did not pass
 *                 the threshold.
 *
-                  IF( RESULT( 9 ).GE.THRESH ) THEN
+                  IF( RESULT( 7 ).GE.THRESH ) THEN
                      IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
      $                  CALL ALAHD( NOUT, PATH )
-                     WRITE( NOUT, FMT = 9997 )UPLO, N, IMAT, 9,
-     $                  RESULT( 9 )
+                     WRITE( NOUT, FMT = 9997 )UPLO, N, IMAT, 7,
+     $                  RESULT( 7 )
                      NFAIL = NFAIL + 1
                   END IF
                   NRUN = NRUN + 1
-  150          CONTINUE
+  240          CONTINUE
 *
-  160       CONTINUE
-  170    CONTINUE
-  180 CONTINUE
+  250       CONTINUE
+  260    CONTINUE
+  270 CONTINUE
 *
 *     Print a summary of the results.
 *