sdrvvx.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 859 行 · 第 1/3 页

            ELSE IF( ITYPE.EQ.3 ) THEN
*
*              Jordan Block
*
               DO 80 JCOL = 1, N
                  A( JCOL, JCOL ) = ANORM
                  IF( JCOL.GT.1 )
     $               A( JCOL, JCOL-1 ) = ONE
   80          CONTINUE
*
            ELSE IF( ITYPE.EQ.4 ) THEN
*
*              Diagonal Matrix, [Eigen]values Specified
*
               CALL SLATMS( N, N, 'S', ISEED, 'S', WORK, IMODE, COND,
     $                      ANORM, 0, 0, 'N', A, LDA, WORK( N+1 ),
     $                      IINFO )
*
            ELSE IF( ITYPE.EQ.5 ) THEN
*
*              Symmetric, eigenvalues specified
*
               CALL SLATMS( N, N, 'S', ISEED, 'S', WORK, IMODE, COND,
     $                      ANORM, N, N, 'N', A, LDA, WORK( N+1 ),
     $                      IINFO )
*
            ELSE IF( ITYPE.EQ.6 ) THEN
*
*              General, eigenvalues specified
*
               IF( KCONDS( JTYPE ).EQ.1 ) THEN
                  CONDS = ONE
               ELSE IF( KCONDS( JTYPE ).EQ.2 ) THEN
                  CONDS = RTULPI
               ELSE
                  CONDS = ZERO
               END IF
*
               ADUMMA( 1 ) = ' '
               CALL SLATME( N, 'S', ISEED, WORK, IMODE, COND, ONE,
     $                      ADUMMA, 'T', 'T', 'T', WORK( N+1 ), 4,
     $                      CONDS, N, N, ANORM, A, LDA, WORK( 2*N+1 ),
     $                      IINFO )
*
            ELSE IF( ITYPE.EQ.7 ) THEN
*
*              Diagonal, random eigenvalues
*
               CALL SLATMR( N, N, 'S', ISEED, 'S', WORK, 6, ONE, ONE,
     $                      'T', 'N', WORK( N+1 ), 1, ONE,
     $                      WORK( 2*N+1 ), 1, ONE, 'N', IDUMMA, 0, 0,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
*
            ELSE IF( ITYPE.EQ.8 ) THEN
*
*              Symmetric, random eigenvalues
*
               CALL SLATMR( N, N, 'S', ISEED, 'S', WORK, 6, ONE, ONE,
     $                      'T', 'N', WORK( N+1 ), 1, ONE,
     $                      WORK( 2*N+1 ), 1, ONE, 'N', IDUMMA, N, N,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
*
            ELSE IF( ITYPE.EQ.9 ) THEN
*
*              General, random eigenvalues
*
               CALL SLATMR( N, N, 'S', ISEED, 'N', WORK, 6, ONE, ONE,
     $                      'T', 'N', WORK( N+1 ), 1, ONE,
     $                      WORK( 2*N+1 ), 1, ONE, 'N', IDUMMA, N, N,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
               IF( N.GE.4 ) THEN
                  CALL SLASET( 'Full', 2, N, ZERO, ZERO, A, LDA )
                  CALL SLASET( 'Full', N-3, 1, ZERO, ZERO, A( 3, 1 ),
     $                         LDA )
                  CALL SLASET( 'Full', N-3, 2, ZERO, ZERO, A( 3, N-1 ),
     $                         LDA )
                  CALL SLASET( 'Full', 1, N, ZERO, ZERO, A( N, 1 ),
     $                         LDA )
               END IF
*
            ELSE IF( ITYPE.EQ.10 ) THEN
*
*              Triangular, random eigenvalues
*
               CALL SLATMR( N, N, 'S', ISEED, 'N', WORK, 6, ONE, ONE,
     $                      'T', 'N', WORK( N+1 ), 1, ONE,
     $                      WORK( 2*N+1 ), 1, ONE, 'N', IDUMMA, N, 0,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
*
            ELSE
*
               IINFO = 1
            END IF
*
            IF( IINFO.NE.0 ) THEN
               WRITE( NOUNIT, FMT = 9992 )'Generator', IINFO, N, JTYPE,
     $            IOLDSD
               INFO = ABS( IINFO )
               RETURN
            END IF
*
   90       CONTINUE
*
*           Test for minimal and generous workspace
*
            DO 130 IWK = 1, 3
               IF( IWK.EQ.1 ) THEN
                  NNWORK = 3*N
               ELSE IF( IWK.EQ.2 ) THEN
                  NNWORK = 6*N + N**2
               ELSE
                  NNWORK = 6*N + 2*N**2
               END IF
               NNWORK = MAX( NNWORK, 1 )
*
*              Test for all balancing options
*
               DO 120 IBAL = 1, 4
                  BALANC = BAL( IBAL )
*
*                 Perform tests
*
                  CALL SGET23( .FALSE., BALANC, JTYPE, THRESH, IOLDSD,
     $                         NOUNIT, N, A, LDA, H, WR, WI, WR1, WI1,
     $                         VL, LDVL, VR, LDVR, LRE, LDLRE, RCONDV,
     $                         RCNDV1, RCDVIN, RCONDE, RCNDE1, RCDEIN,
     $                         SCALE, SCALE1, RESULT, WORK, NNWORK,
     $                         IWORK, INFO )
*
*                 Check for RESULT(j) > THRESH
*
                  NTEST = 0
                  NFAIL = 0
                  DO 100 J = 1, 9
                     IF( RESULT( J ).GE.ZERO )
     $                  NTEST = NTEST + 1
                     IF( RESULT( J ).GE.THRESH )
     $                  NFAIL = NFAIL + 1
  100             CONTINUE
*
                  IF( NFAIL.GT.0 )
     $               NTESTF = NTESTF + 1
                  IF( NTESTF.EQ.1 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )PATH
                     WRITE( NOUNIT, FMT = 9998 )
                     WRITE( NOUNIT, FMT = 9997 )
                     WRITE( NOUNIT, FMT = 9996 )
                     WRITE( NOUNIT, FMT = 9995 )THRESH
                     NTESTF = 2
                  END IF
*
                  DO 110 J = 1, 9
                     IF( RESULT( J ).GE.THRESH ) THEN
                        WRITE( NOUNIT, FMT = 9994 )BALANC, N, IWK,
     $                     IOLDSD, JTYPE, J, RESULT( J )
                     END IF
  110             CONTINUE
*
                  NERRS = NERRS + NFAIL
                  NTESTT = NTESTT + NTEST
*
  120          CONTINUE
  130       CONTINUE
  140    CONTINUE
  150 CONTINUE
*
  160 CONTINUE
*
*     Read in data from file to check accuracy of condition estimation.
*     Assume input eigenvalues are sorted lexicographically (increasing
*     by real part, then decreasing by imaginary part)
*
      JTYPE = 0
  170 CONTINUE
      READ( NIUNIT, FMT = *, END = 220 )N
*
*     Read input data until N=0
*
      IF( N.EQ.0 )
     $   GO TO 220
      JTYPE = JTYPE + 1
      ISEED( 1 ) = JTYPE
      DO 180 I = 1, N
         READ( NIUNIT, FMT = * )( A( I, J ), J = 1, N )
  180 CONTINUE
      DO 190 I = 1, N
         READ( NIUNIT, FMT = * )WR1( I ), WI1( I ), RCDEIN( I ),
     $      RCDVIN( I )
  190 CONTINUE
      CALL SGET23( .TRUE., 'N', 22, THRESH, ISEED, NOUNIT, N, A, LDA, H,
     $             WR, WI, WR1, WI1, VL, LDVL, VR, LDVR, LRE, LDLRE,
     $             RCONDV, RCNDV1, RCDVIN, RCONDE, RCNDE1, RCDEIN,
     $             SCALE, SCALE1, RESULT, WORK, 6*N+2*N**2, IWORK,
     $             INFO )
*
*     Check for RESULT(j) > THRESH
*
      NTEST = 0
      NFAIL = 0
      DO 200 J = 1, 11
         IF( RESULT( J ).GE.ZERO )
     $      NTEST = NTEST + 1
         IF( RESULT( J ).GE.THRESH )
     $      NFAIL = NFAIL + 1
  200 CONTINUE
*
      IF( NFAIL.GT.0 )
     $   NTESTF = NTESTF + 1
      IF( NTESTF.EQ.1 ) THEN
         WRITE( NOUNIT, FMT = 9999 )PATH
         WRITE( NOUNIT, FMT = 9998 )
         WRITE( NOUNIT, FMT = 9997 )
         WRITE( NOUNIT, FMT = 9996 )
         WRITE( NOUNIT, FMT = 9995 )THRESH
         NTESTF = 2
      END IF
*
      DO 210 J = 1, 11
         IF( RESULT( J ).GE.THRESH ) THEN
            WRITE( NOUNIT, FMT = 9993 )N, JTYPE, J, RESULT( J )
         END IF
  210 CONTINUE
*
      NERRS = NERRS + NFAIL
      NTESTT = NTESTT + NTEST
      GO TO 170
  220 CONTINUE
*
*     Summary
*
      CALL SLASUM( PATH, NOUNIT, NERRS, NTESTT )
*
 9999 FORMAT( / 1X, A3, ' -- Real Eigenvalue-Eigenvector Decomposition',
     $      ' Expert Driver', /
     $      ' Matrix types (see SDRVVX for details): ' )
*
 9998 FORMAT( / ' Special Matrices:', / '  1=Zero matrix.             ',
     $      '           ', '  5=Diagonal: geometr. spaced entries.',
     $      / '  2=Identity matrix.                    ', '  6=Diagona',
     $      'l: clustered entries.', / '  3=Transposed Jordan block.  ',
     $      '          ', '  7=Diagonal: large, evenly spaced.', / '  ',
     $      '4=Diagonal: evenly spaced entries.    ', '  8=Diagonal: s',
     $      'mall, evenly spaced.' )
 9997 FORMAT( ' Dense, Non-Symmetric Matrices:', / '  9=Well-cond., ev',
     $      'enly spaced eigenvals.', ' 14=Ill-cond., geomet. spaced e',
     $      'igenals.', / ' 10=Well-cond., geom. spaced eigenvals. ',
     $      ' 15=Ill-conditioned, clustered e.vals.', / ' 11=Well-cond',
     $      'itioned, clustered e.vals. ', ' 16=Ill-cond., random comp',
     $      'lex ', / ' 12=Well-cond., random complex ', '         ',
     $      ' 17=Ill-cond., large rand. complx ', / ' 13=Ill-condi',
     $      'tioned, evenly spaced.     ', ' 18=Ill-cond., small rand.',
     $      ' complx ' )
 9996 FORMAT( ' 19=Matrix with random O(1) entries.    ', ' 21=Matrix ',
     $      'with small random entries.', / ' 20=Matrix with large ran',
     $      'dom entries.   ', ' 22=Matrix read from input file', / )
 9995 FORMAT( ' Tests performed with test threshold =', F8.2,
     $      / / ' 1 = | A VR - VR W | / ( n |A| ulp ) ',
     $      / ' 2 = | transpose(A) VL - VL W | / ( n |A| ulp ) ',
     $      / ' 3 = | |VR(i)| - 1 | / ulp ',
     $      / ' 4 = | |VL(i)| - 1 | / ulp ',
     $      / ' 5 = 0 if W same no matter if VR or VL computed,',
     $      ' 1/ulp otherwise', /
     $      ' 6 = 0 if VR same no matter what else computed,',
     $      '  1/ulp otherwise', /
     $      ' 7 = 0 if VL same no matter what else computed,',
     $      '  1/ulp otherwise', /
     $      ' 8 = 0 if RCONDV same no matter what else computed,',
     $      '  1/ulp otherwise', /
     $      ' 9 = 0 if SCALE, ILO, IHI, ABNRM same no matter what else',
     $      ' computed,  1/ulp otherwise',
     $      / ' 10 = | RCONDV - RCONDV(precomputed) | / cond(RCONDV),',
     $      / ' 11 = | RCONDE - RCONDE(precomputed) | / cond(RCONDE),' )
 9994 FORMAT( ' BALANC=''', A1, ''',N=', I4, ',IWK=', I1, ', seed=',
     $      4( I4, ',' ), ' type ', I2, ', test(', I2, ')=', G10.3 )
 9993 FORMAT( ' N=', I5, ', input example =', I3, ',  test(', I2, ')=',
     $      G10.3 )
 9992 FORMAT( ' SDRVVX: ', A, ' returned INFO=', I6, '.', / 9X, 'N=',
     $      I6, ', JTYPE=', I6, ', ISEED=(', 3( I5, ',' ), I5, ')' )
*
      RETURN
*
*     End of SDRVVX
*
      END