cdrges.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 824 行 · 第 1/3 页

   50             CONTINUE
                  CTEMP = CLARND( 3, ISEED )
                  Q( N, N ) = CONE
                  WORK( N ) = CZERO
                  WORK( 3*N ) = CTEMP / ABS( CTEMP )
                  CTEMP = CLARND( 3, ISEED )
                  Z( N, N ) = CONE
                  WORK( 2*N ) = CZERO
                  WORK( 4*N ) = CTEMP / ABS( CTEMP )
*
*                 Apply the diagonal matrices
*
                  DO 70 JC = 1, N
                     DO 60 JR = 1, N
                        A( JR, JC ) = WORK( 2*N+JR )*
     $                                CONJG( WORK( 3*N+JC ) )*
     $                                A( JR, JC )
                        B( JR, JC ) = WORK( 2*N+JR )*
     $                                CONJG( WORK( 3*N+JC ) )*
     $                                B( JR, JC )
   60                CONTINUE
   70             CONTINUE
                  CALL CUNM2R( 'L', 'N', N, N, N-1, Q, LDQ, WORK, A,
     $                         LDA, WORK( 2*N+1 ), IINFO )
                  IF( IINFO.NE.0 )
     $               GO TO 100
                  CALL CUNM2R( 'R', 'C', N, N, N-1, Z, LDQ, WORK( N+1 ),
     $                         A, LDA, WORK( 2*N+1 ), IINFO )
                  IF( IINFO.NE.0 )
     $               GO TO 100
                  CALL CUNM2R( 'L', 'N', N, N, N-1, Q, LDQ, WORK, B,
     $                         LDA, WORK( 2*N+1 ), IINFO )
                  IF( IINFO.NE.0 )
     $               GO TO 100
                  CALL CUNM2R( 'R', 'C', N, N, N-1, Z, LDQ, WORK( N+1 ),
     $                         B, LDA, WORK( 2*N+1 ), IINFO )
                  IF( IINFO.NE.0 )
     $               GO TO 100
               END IF
            ELSE
*
*              Random matrices
*
               DO 90 JC = 1, N
                  DO 80 JR = 1, N
                     A( JR, JC ) = RMAGN( KAMAGN( JTYPE ) )*
     $                             CLARND( 4, ISEED )
                     B( JR, JC ) = RMAGN( KBMAGN( JTYPE ) )*
     $                             CLARND( 4, ISEED )
   80             CONTINUE
   90          CONTINUE
            END IF
*
  100       CONTINUE
*
            IF( IINFO.NE.0 ) THEN
               WRITE( NOUNIT, FMT = 9999 )'Generator', IINFO, N, JTYPE,
     $            IOLDSD
               INFO = ABS( IINFO )
               RETURN
            END IF
*
  110       CONTINUE
*
            DO 120 I = 1, 13
               RESULT( I ) = -ONE
  120       CONTINUE
*
*           Test with and without sorting of eigenvalues
*
            DO 150 ISORT = 0, 1
               IF( ISORT.EQ.0 ) THEN
                  SORT = 'N'
                  RSUB = 0
               ELSE
                  SORT = 'S'
                  RSUB = 5
               END IF
*
*              Call CGGES to compute H, T, Q, Z, alpha, and beta.
*
               CALL CLACPY( 'Full', N, N, A, LDA, S, LDA )
               CALL CLACPY( 'Full', N, N, B, LDA, T, LDA )
               NTEST = 1 + RSUB + ISORT
               RESULT( 1+RSUB+ISORT ) = ULPINV
               CALL CGGES( 'V', 'V', SORT, CLCTES, N, S, LDA, T, LDA,
     $                     SDIM, ALPHA, BETA, Q, LDQ, Z, LDQ, WORK,
     $                     LWORK, RWORK, BWORK, IINFO )
               IF( IINFO.NE.0 .AND. IINFO.NE.N+2 ) THEN
                  RESULT( 1+RSUB+ISORT ) = ULPINV
                  WRITE( NOUNIT, FMT = 9999 )'CGGES', IINFO, N, JTYPE,
     $               IOLDSD
                  INFO = ABS( IINFO )
                  GO TO 160
               END IF
*
               NTEST = 4 + RSUB
*
*              Do tests 1--4 (or tests 7--9 when reordering )
*
               IF( ISORT.EQ.0 ) THEN
                  CALL CGET51( 1, N, A, LDA, S, LDA, Q, LDQ, Z, LDQ,
     $                         WORK, RWORK, RESULT( 1 ) )
                  CALL CGET51( 1, N, B, LDA, T, LDA, Q, LDQ, Z, LDQ,
     $                         WORK, RWORK, RESULT( 2 ) )
               ELSE
                  CALL CGET54( N, A, LDA, B, LDA, S, LDA, T, LDA, Q,
     $                         LDQ, Z, LDQ, WORK, RESULT( 2+RSUB ) )
               END IF
*
               CALL CGET51( 3, N, B, LDA, T, LDA, Q, LDQ, Q, LDQ, WORK,
     $                      RWORK, RESULT( 3+RSUB ) )
               CALL CGET51( 3, N, B, LDA, T, LDA, Z, LDQ, Z, LDQ, WORK,
     $                      RWORK, RESULT( 4+RSUB ) )
*
*              Do test 5 and 6 (or Tests 10 and 11 when reordering):
*              check Schur form of A and compare eigenvalues with
*              diagonals.
*
               NTEST = 6 + RSUB
               TEMP1 = ZERO
*
               DO 130 J = 1, N
                  ILABAD = .FALSE.
                  TEMP2 = ( ABS1( ALPHA( J )-S( J, J ) ) /
     $                    MAX( SAFMIN, ABS1( ALPHA( J ) ), ABS1( S( J,
     $                    J ) ) )+ABS1( BETA( J )-T( J, J ) ) /
     $                    MAX( SAFMIN, ABS1( BETA( J ) ), ABS1( T( J,
     $                    J ) ) ) ) / ULP
*
                  IF( J.LT.N ) THEN
                     IF( S( J+1, J ).NE.ZERO ) THEN
                        ILABAD = .TRUE.
                        RESULT( 5+RSUB ) = ULPINV
                     END IF
                  END IF
                  IF( J.GT.1 ) THEN
                     IF( S( J, J-1 ).NE.ZERO ) THEN
                        ILABAD = .TRUE.
                        RESULT( 5+RSUB ) = ULPINV
                     END IF
                  END IF
                  TEMP1 = MAX( TEMP1, TEMP2 )
                  IF( ILABAD ) THEN
                     WRITE( NOUNIT, FMT = 9998 )J, N, JTYPE, IOLDSD
                  END IF
  130          CONTINUE
               RESULT( 6+RSUB ) = TEMP1
*
               IF( ISORT.GE.1 ) THEN
*
*                 Do test 12
*
                  NTEST = 12
                  RESULT( 12 ) = ZERO
                  KNTEIG = 0
                  DO 140 I = 1, N
                     IF( CLCTES( ALPHA( I ), BETA( I ) ) )
     $                  KNTEIG = KNTEIG + 1
  140             CONTINUE
                  IF( SDIM.NE.KNTEIG )
     $               RESULT( 13 ) = ULPINV
               END IF
*
  150       CONTINUE
*
*           End of Loop -- Check for RESULT(j) > THRESH
*
  160       CONTINUE
*
            NTESTT = NTESTT + NTEST
*
*           Print out tests which fail.
*
            DO 170 JR = 1, NTEST
               IF( RESULT( JR ).GE.THRESH ) THEN
*
*                 If this is the first test to fail,
*                 print a header to the data file.
*
                  IF( NERRS.EQ.0 ) THEN
                     WRITE( NOUNIT, FMT = 9997 )'CGS'
*
*                    Matrix types
*
                     WRITE( NOUNIT, FMT = 9996 )
                     WRITE( NOUNIT, FMT = 9995 )
                     WRITE( NOUNIT, FMT = 9994 )'Unitary'
*
*                    Tests performed
*
                     WRITE( NOUNIT, FMT = 9993 )'unitary', '''',
     $                  'transpose', ( '''', J = 1, 8 )
*
                  END IF
                  NERRS = NERRS + 1
                  IF( RESULT( JR ).LT.10000.0 ) THEN
                     WRITE( NOUNIT, FMT = 9992 )N, JTYPE, IOLDSD, JR,
     $                  RESULT( JR )
                  ELSE
                     WRITE( NOUNIT, FMT = 9991 )N, JTYPE, IOLDSD, JR,
     $                  RESULT( JR )
                  END IF
               END IF
  170       CONTINUE
*
  180    CONTINUE
  190 CONTINUE
*
*     Summary
*
      CALL ALASVM( 'CGS', NOUNIT, NERRS, NTESTT, 0 )
*
      WORK( 1 ) = MAXWRK
*
      RETURN
*
 9999 FORMAT( ' CDRGES: ', A, ' returned INFO=', I6, '.', / 9X, 'N=',
     $      I6, ', JTYPE=', I6, ', ISEED=(', 4( I4, ',' ), I5, ')' )
*
 9998 FORMAT( ' CDRGES: S not in Schur form at eigenvalue ', I6, '.',
     $      / 9X, 'N=', I6, ', JTYPE=', I6, ', ISEED=(', 3( I5, ',' ),
     $      I5, ')' )
*
 9997 FORMAT( / 1X, A3, ' -- Complex Generalized Schur from problem ',
     $      'driver' )
*
 9996 FORMAT( ' Matrix types (see CDRGES for details): ' )
*
 9995 FORMAT( ' Special Matrices:', 23X,
     $      '(J''=transposed Jordan block)',
     $      / '   1=(0,0)  2=(I,0)  3=(0,I)  4=(I,I)  5=(J'',J'')  ',
     $      '6=(diag(J'',I), diag(I,J''))', / ' Diagonal Matrices:  ( ',
     $      'D=diag(0,1,2,...) )', / '   7=(D,I)   9=(large*D, small*I',
     $      ')  11=(large*I, small*D)  13=(large*D, large*I)', /
     $      '   8=(I,D)  10=(small*D, large*I)  12=(small*I, large*D) ',
     $      ' 14=(small*D, small*I)', / '  15=(D, reversed D)' )
 9994 FORMAT( ' Matrices Rotated by Random ', A, ' Matrices U, V:',
     $      / '  16=Transposed Jordan Blocks             19=geometric ',
     $      'alpha, beta=0,1', / '  17=arithm. alpha&beta             ',
     $      '      20=arithmetic alpha, beta=0,1', / '  18=clustered ',
     $      'alpha, beta=0,1            21=random alpha, beta=0,1',
     $      / ' Large & Small Matrices:', / '  22=(large, small)   ',
     $      '23=(small,large)    24=(small,small)    25=(large,large)',
     $      / '  26=random O(1) matrices.' )
*
 9993 FORMAT( / ' Tests performed:  (S is Schur, T is triangular, ',
     $      'Q and Z are ', A, ',', / 19X,
     $      'l and r are the appropriate left and right', / 19X,
     $      'eigenvectors, resp., a is alpha, b is beta, and', / 19X, A,
     $      ' means ', A, '.)', / ' Without ordering: ',
     $      / '  1 = | A - Q S Z', A,
     $      ' | / ( |A| n ulp )      2 = | B - Q T Z', A,
     $      ' | / ( |B| n ulp )', / '  3 = | I - QQ', A,
     $      ' | / ( n ulp )             4 = | I - ZZ', A,
     $      ' | / ( n ulp )', / '  5 = A is in Schur form S',
     $      / '  6 = difference between (alpha,beta)',
     $      ' and diagonals of (S,T)', / ' With ordering: ',
     $      / '  7 = | (A,B) - Q (S,T) Z', A, ' | / ( |(A,B)| n ulp )',
     $      / '  8 = | I - QQ', A,
     $      ' | / ( n ulp )             9 = | I - ZZ', A,
     $      ' | / ( n ulp )', / ' 10 = A is in Schur form S',
     $      / ' 11 = difference between (alpha,beta) and diagonals',
     $      ' of (S,T)', / ' 12 = SDIM is the correct number of ',
     $      'selected eigenvalues', / )
 9992 FORMAT( ' Matrix order=', I5, ', type=', I2, ', seed=',
     $      4( I4, ',' ), ' result ', I2, ' is', 0P, F8.2 )
 9991 FORMAT( ' Matrix order=', I5, ', type=', I2, ', seed=',
     $      4( I4, ',' ), ' result ', I2, ' is', 1P, E10.3 )
*
*     End of CDRGES
*
      END