ddrvsx.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 819 行 · 第 1/3 页

     $               A( JCOL, JCOL-1 ) = ONE
   80          CONTINUE
*
            ELSE IF( ITYPE.EQ.4 ) THEN
*
*              Diagonal Matrix, [Eigen]values Specified
*
               CALL DLATMS( 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 DLATMS( 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 DLATME( 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 DLATMR( 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 DLATMR( 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 DLATMR( 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 DLASET( 'Full', 2, N, ZERO, ZERO, A, LDA )
                  CALL DLASET( 'Full', N-3, 1, ZERO, ZERO, A( 3, 1 ),
     $                         LDA )
                  CALL DLASET( 'Full', N-3, 2, ZERO, ZERO, A( 3, N-1 ),
     $                         LDA )
                  CALL DLASET( 'Full', 1, N, ZERO, ZERO, A( N, 1 ),
     $                         LDA )
               END IF
*
            ELSE IF( ITYPE.EQ.10 ) THEN
*
*              Triangular, random eigenvalues
*
               CALL DLATMR( 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 = 9991 )'Generator', IINFO, N, JTYPE,
     $            IOLDSD
               INFO = ABS( IINFO )
               RETURN
            END IF
*
   90       CONTINUE
*
*           Test for minimal and generous workspace
*
            DO 120 IWK = 1, 2
               IF( IWK.EQ.1 ) THEN
                  NNWORK = 3*N
               ELSE
                  NNWORK = MAX( 3*N, 2*N*N )
               END IF
               NNWORK = MAX( NNWORK, 1 )
*
               CALL DGET24( .FALSE., JTYPE, THRESH, IOLDSD, NOUNIT, N,
     $                      A, LDA, H, HT, WR, WI, WRT, WIT, WRTMP,
     $                      WITMP, VS, LDVS, VS1, RCDEIN, RCDVIN, NSLCT,
     $                      ISLCT, RESULT, WORK, NNWORK, IWORK, BWORK,
     $                      INFO )
*
*              Check for RESULT(j) > THRESH
*
               NTEST = 0
               NFAIL = 0
               DO 100 J = 1, 15
                  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
                  WRITE( NOUNIT, FMT = 9994 )
                  NTESTF = 2
               END IF
*
               DO 110 J = 1, 15
                  IF( RESULT( J ).GE.THRESH ) THEN
                     WRITE( NOUNIT, FMT = 9993 )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
*
*     Read in data from file to check accuracy of condition estimation
*     Read input data until N=0
*
      JTYPE = 0
  160 CONTINUE
      READ( NIUNIT, FMT = *, END = 200 )N, NSLCT
      IF( N.EQ.0 )
     $   GO TO 200
      JTYPE = JTYPE + 1
      ISEED( 1 ) = JTYPE
      IF( NSLCT.GT.0 )
     $   READ( NIUNIT, FMT = * )( ISLCT( I ), I = 1, NSLCT )
      DO 170 I = 1, N
         READ( NIUNIT, FMT = * )( A( I, J ), J = 1, N )
  170 CONTINUE
      READ( NIUNIT, FMT = * )RCDEIN, RCDVIN
*
      CALL DGET24( .TRUE., 22, THRESH, ISEED, NOUNIT, N, A, LDA, H, HT,
     $             WR, WI, WRT, WIT, WRTMP, WITMP, VS, LDVS, VS1,
     $             RCDEIN, RCDVIN, NSLCT, ISLCT, RESULT, WORK, LWORK,
     $             IWORK, BWORK, INFO )
*
*     Check for RESULT(j) > THRESH
*
      NTEST = 0
      NFAIL = 0
      DO 180 J = 1, 17
         IF( RESULT( J ).GE.ZERO )
     $      NTEST = NTEST + 1
         IF( RESULT( J ).GE.THRESH )
     $      NFAIL = NFAIL + 1
  180 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
         WRITE( NOUNIT, FMT = 9994 )
         NTESTF = 2
      END IF
      DO 190 J = 1, 17
         IF( RESULT( J ).GE.THRESH ) THEN
            WRITE( NOUNIT, FMT = 9992 )N, JTYPE, J, RESULT( J )
         END IF
  190 CONTINUE
*
      NERRS = NERRS + NFAIL
      NTESTT = NTESTT + NTEST
      GO TO 160
  200 CONTINUE
*
*     Summary
*
      CALL DLASUM( PATH, NOUNIT, NERRS, NTESTT )
*
 9999 FORMAT( / 1X, A3, ' -- Real Schur Form Decomposition Expert ',
     $      'Driver', / ' Matrix types (see DDRVSX 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.   ', / )
 9995 FORMAT( ' Tests performed with test threshold =', F8.2,
     $      / ' ( A denotes A on input and T denotes A on output)',
     $      / / ' 1 = 0 if T in Schur form (no sort), ',
     $      '  1/ulp otherwise', /
     $      ' 2 = | A - VS T transpose(VS) | / ( n |A| ulp ) (no sort)',
     $      / ' 3 = | I - VS transpose(VS) | / ( n ulp ) (no sort) ', /
     $      ' 4 = 0 if WR+sqrt(-1)*WI are eigenvalues of T (no sort),',
     $      '  1/ulp otherwise', /
     $      ' 5 = 0 if T same no matter if VS computed (no sort),',
     $      '  1/ulp otherwise', /
     $      ' 6 = 0 if WR, WI same no matter if VS computed (no sort)',
     $      ',  1/ulp otherwise' )
 9994 FORMAT( ' 7 = 0 if T in Schur form (sort), ', '  1/ulp otherwise',
     $      / ' 8 = | A - VS T transpose(VS) | / ( n |A| ulp ) (sort)',
     $      / ' 9 = | I - VS transpose(VS) | / ( n ulp ) (sort) ',
     $      / ' 10 = 0 if WR+sqrt(-1)*WI are eigenvalues of T (sort),',
     $      '  1/ulp otherwise', /
     $      ' 11 = 0 if T same no matter what else computed (sort),',
     $      '  1/ulp otherwise', /
     $      ' 12 = 0 if WR, WI same no matter what else computed ',
     $      '(sort), 1/ulp otherwise', /
     $      ' 13 = 0 if sorting succesful, 1/ulp otherwise',
     $      / ' 14 = 0 if RCONDE same no matter what else computed,',
     $      ' 1/ulp otherwise', /
     $      ' 15 = 0 if RCONDv same no matter what else computed,',
     $      ' 1/ulp otherwise', /
     $      ' 16 = | RCONDE - RCONDE(precomputed) | / cond(RCONDE),',
     $      / ' 17 = | RCONDV - RCONDV(precomputed) | / cond(RCONDV),' )
 9993 FORMAT( ' N=', I5, ', IWK=', I2, ', seed=', 4( I4, ',' ),
     $      ' type ', I2, ', test(', I2, ')=', G10.3 )
 9992 FORMAT( ' N=', I5, ', input example =', I3, ',  test(', I2, ')=',
     $      G10.3 )
 9991 FORMAT( ' DDRVSX: ', A, ' returned INFO=', I6, '.', / 9X, 'N=',
     $      I6, ', JTYPE=', I6, ', ISEED=(', 3( I5, ',' ), I5, ')' )
*
      RETURN
*
*     End of DDRVSX
*
      END