zchksy.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 499 行 · 第 1/2 页

                           DO 70 J = 1, N
                              I2 = MIN( J, IZERO )
                              DO 60 I = 1, I2
                                 A( IOFF+I ) = ZERO
   60                         CONTINUE
                              IOFF = IOFF + LDA
   70                      CONTINUE
                        ELSE
*
*                          Set the last IZERO rows to zero.
*
                           IOFF = 0
                           DO 90 J = 1, N
                              I1 = MAX( J, IZERO )
                              DO 80 I = I1, N
                                 A( IOFF+I ) = ZERO
   80                         CONTINUE
                              IOFF = IOFF + LDA
   90                      CONTINUE
                        END IF
                     END IF
                  ELSE
                     IZERO = 0
                  END IF
               ELSE
*
*                 Use a special block diagonal matrix to test alternate
*                 code for the 2 x 2 blocks.
*
                  CALL ZLATSY( UPLO, N, A, LDA, ISEED )
               END IF
*
*              Do for each value of NB in NBVAL
*
               DO 150 INB = 1, NNB
                  NB = NBVAL( INB )
                  CALL XLAENV( 1, NB )
*
*                 Compute the L*D*L' or U*D*U' factorization of the
*                 matrix.
*
                  CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
                  LWORK = MAX( 2, NB )*LDA
                  SRNAMT = 'ZSYTRF'
                  CALL ZSYTRF( UPLO, N, AFAC, LDA, IWORK, AINV, LWORK,
     $                         INFO )
*
*                 Adjust the expected value of INFO to account for
*                 pivoting.
*
                  K = IZERO
                  IF( K.GT.0 ) THEN
  100                CONTINUE
                     IF( IWORK( K ).LT.0 ) THEN
                        IF( IWORK( K ).NE.-K ) THEN
                           K = -IWORK( K )
                           GO TO 100
                        END IF
                     ELSE IF( IWORK( K ).NE.K ) THEN
                        K = IWORK( K )
                        GO TO 100
                     END IF
                  END IF
*
*                 Check error code from ZSYTRF.
*
                  IF( INFO.NE.K )
     $               CALL ALAERH( PATH, 'ZSYTRF', INFO, K, UPLO, N, N,
     $                            -1, -1, NB, IMAT, NFAIL, NERRS, NOUT )
                  IF( INFO.NE.0 ) THEN
                     TRFCON = .TRUE.
                  ELSE
                     TRFCON = .FALSE.
                  END IF
*
*+    TEST 1
*                 Reconstruct matrix from factors and compute residual.
*
                  CALL ZSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK, AINV,
     $                         LDA, RWORK, RESULT( 1 ) )
                  NT = 1
*
*+    TEST 2
*                 Form the inverse and compute the residual.
*
                  IF( INB.EQ.1 .AND. .NOT.TRFCON ) THEN
                     CALL ZLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
                     SRNAMT = 'ZSYTRI'
                     CALL ZSYTRI( UPLO, N, AINV, LDA, IWORK, WORK,
     $                            INFO )
*
*                 Check error code from ZSYTRI.
*
                     IF( INFO.NE.0 )
     $                  CALL ALAERH( PATH, 'ZSYTRI', INFO, 0, UPLO, N,
     $                               N, -1, -1, -1, IMAT, NFAIL, NERRS,
     $                               NOUT )
*
                     CALL ZSYT03( UPLO, N, A, LDA, AINV, LDA, WORK, LDA,
     $                            RWORK, RCONDC, RESULT( 2 ) )
                     NT = 2
                  END IF
*
*                 Print information about the tests that did not pass
*                 the threshold.
*
                  DO 110 K = 1, NT
                     IF( RESULT( K ).GE.THRESH ) THEN
                        IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $                     CALL ALAHD( NOUT, PATH )
                        WRITE( NOUT, FMT = 9999 )UPLO, N, NB, IMAT, K,
     $                     RESULT( K )
                        NFAIL = NFAIL + 1
                     END IF
  110             CONTINUE
                  NRUN = NRUN + NT
*
*                 Skip the other tests if this is not the first block
*                 size.
*
                  IF( INB.GT.1 )
     $               GO TO 150
*
*                 Do only the condition estimate if INFO is not 0.
*
                  IF( TRFCON ) THEN
                     RCONDC = ZERO
                     GO TO 140
                  END IF
*
                  DO 130 IRHS = 1, NNS
                     NRHS = NSVAL( IRHS )
*
*+    TEST 3
*                 Solve and compute residual for  A * X = B.
*
                     SRNAMT = 'ZLARHS'
                     CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
     $                            NRHS, A, LDA, XACT, LDA, B, LDA,
     $                            ISEED, INFO )
                     CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
*
                     SRNAMT = 'ZSYTRS'
                     CALL ZSYTRS( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
     $                            LDA, INFO )
*
*                 Check error code from ZSYTRS.
*
                     IF( INFO.NE.0 )
     $                  CALL ALAERH( PATH, 'ZSYTRS', INFO, 0, UPLO, N,
     $                               N, -1, -1, NRHS, IMAT, NFAIL,
     $                               NERRS, NOUT )
*
                     CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
                     CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
     $                            LDA, RWORK, RESULT( 3 ) )
*
*+    TEST 4
*                 Check solution from generated exact solution.
*
                     CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
     $                            RESULT( 4 ) )
*
*+    TESTS 5, 6, and 7
*                 Use iterative refinement to improve the solution.
*
                     SRNAMT = 'ZSYRFS'
                     CALL ZSYRFS( UPLO, N, NRHS, A, LDA, AFAC, LDA,
     $                            IWORK, B, LDA, X, LDA, RWORK,
     $                            RWORK( NRHS+1 ), WORK,
     $                            RWORK( 2*NRHS+1 ), INFO )
*
*                 Check error code from ZSYRFS.
*
                     IF( INFO.NE.0 )
     $                  CALL ALAERH( PATH, 'ZSYRFS', INFO, 0, UPLO, N,
     $                               N, -1, -1, NRHS, IMAT, NFAIL,
     $                               NERRS, NOUT )
*
                     CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
     $                            RESULT( 5 ) )
                     CALL ZPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
     $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
     $                            RESULT( 6 ) )
*
*                    Print information about the tests that did not pass
*                    the threshold.
*
                     DO 120 K = 3, 7
                        IF( RESULT( K ).GE.THRESH ) THEN
                           IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $                        CALL ALAHD( NOUT, PATH )
                           WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS,
     $                        IMAT, K, RESULT( K )
                           NFAIL = NFAIL + 1
                        END IF
  120                CONTINUE
                     NRUN = NRUN + 5
  130             CONTINUE
*
*+    TEST 8
*                 Get an estimate of RCOND = 1/CNDNUM.
*
  140             CONTINUE
                  ANORM = ZLANSY( '1', UPLO, N, A, LDA, RWORK )
                  SRNAMT = 'ZSYCON'
                  CALL ZSYCON( UPLO, N, AFAC, LDA, IWORK, ANORM, RCOND,
     $                         WORK, INFO )
*
*                 Check error code from ZSYCON.
*
                  IF( INFO.NE.0 )
     $               CALL ALAERH( PATH, 'ZSYCON', INFO, 0, UPLO, N, N,
     $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
*
                  RESULT( 8 ) = DGET06( RCOND, RCONDC )
*
*                 Print information about the tests that did not pass
*                 the threshold.
*
                  IF( RESULT( 8 ).GE.THRESH ) THEN
                     IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $                  CALL ALAHD( NOUT, PATH )
                     WRITE( NOUT, FMT = 9997 )UPLO, N, IMAT, 8,
     $                  RESULT( 8 )
                     NFAIL = NFAIL + 1
                  END IF
                  NRUN = NRUN + 1
  150          CONTINUE
  160       CONTINUE
  170    CONTINUE
  180 CONTINUE
*
*     Print a summary of the results.
*
      CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NB =', I4, ', type ',
     $      I2, ', test ', I2, ', ratio =', G12.5 )
 9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ',
     $      I2, ', test(', I2, ') =', G12.5 )
 9997 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ',', 10X, ' type ', I2,
     $      ', test(', I2, ') =', G12.5 )
      RETURN
*
*     End of ZCHKSY
*
      END