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* TG01AD EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER LMAX, NMAX, MMAX, PMAX
PARAMETER ( LMAX = 20, NMAX = 20, MMAX = 20, PMAX = 20 )
INTEGER LDA, LDB, LDC, LDE
PARAMETER ( LDA = LMAX, LDB = LMAX, LDC = PMAX,
$ LDE = LMAX )
INTEGER LDWORK
PARAMETER ( LDWORK = MAX( 1, 3*(LMAX+NMAX ) ) )
* .. Local Scalars ..
CHARACTER*1 JOBS
INTEGER I, INFO, J, L, M, N, P
DOUBLE PRECISION ABCNRM, ENORM, SABCNM, SENORM, THRESH
* .. Local Arrays ..
DOUBLE PRECISION A(LDA,NMAX), B(LDB,MMAX), C(LDC,NMAX),
$ DWORK(LDWORK), E(LDE,NMAX), LSCALE(LMAX),
$ RSCALE(NMAX)
* .. External Functions ..
DOUBLE PRECISION DLANGE
EXTERNAL DLANGE
* .. External Subroutines ..
EXTERNAL TG01AD
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) L, N, M, P, JOBS, THRESH
IF ( L.LT.0 .OR. L.GT.LMAX ) THEN
WRITE ( NOUT, FMT = 99989 ) L
ELSE
IF ( N.LT.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99988 ) N
ELSE
READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,L )
READ ( NIN, FMT = * ) ( ( E(I,J), J = 1,N ), I = 1,L )
IF ( M.LT.0 .OR. M.GT.MMAX ) THEN
WRITE ( NOUT, FMT = 99987 ) M
ELSE
READ ( NIN, FMT = * ) ( ( B(I,J), J = 1,M ), I = 1,L )
IF ( P.LT.0 .OR. P.GT.PMAX ) THEN
WRITE ( NOUT, FMT = 99986 ) P
ELSE
READ ( NIN, FMT = * ) ( ( C(I,J), J = 1,N ), I = 1,P )
* Compute norms before scaling
ABCNRM = MAX( DLANGE( '1', L, N, A, LDA, DWORK ),
$ DLANGE( '1', L, M, B, LDB, DWORK ),
$ DLANGE( '1', P, N, C, LDC, DWORK ) )
ENORM = DLANGE( '1', L, N, E, LDE, DWORK )
* Find the transformed descriptor system
* (A-lambda E,B,C).
CALL TG01AD( JOBS, L, N, M, P, THRESH, A, LDA, E, LDE,
$ B, LDB, C, LDC, LSCALE, RSCALE, DWORK,
$ INFO )
*
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99998 ) INFO
ELSE
SABCNM = MAX( DLANGE( '1', L, N, A, LDA, DWORK ),
$ DLANGE( '1', L, M, B, LDB, DWORK ),
$ DLANGE( '1', P, N, C, LDC, DWORK ) )
SENORM = DLANGE( '1', L, N, E, LDE, DWORK )
WRITE ( NOUT, FMT = 99997 )
DO 10 I = 1, L
WRITE ( NOUT, FMT = 99995 ) ( A(I,J), J = 1,N )
10 CONTINUE
WRITE ( NOUT, FMT = 99996 )
DO 20 I = 1, L
WRITE ( NOUT, FMT = 99995 ) ( E(I,J), J = 1,N )
20 CONTINUE
WRITE ( NOUT, FMT = 99993 )
DO 30 I = 1, L
WRITE ( NOUT, FMT = 99995 ) ( B(I,J), J = 1,M )
30 CONTINUE
WRITE ( NOUT, FMT = 99992 )
DO 40 I = 1, P
WRITE ( NOUT, FMT = 99995 ) ( C(I,J), J = 1,N )
40 CONTINUE
WRITE ( NOUT, FMT = 99991 )
WRITE ( NOUT, FMT = 99995 ) ( LSCALE(I), I = 1,L )
WRITE ( NOUT, FMT = 99990 )
WRITE ( NOUT, FMT = 99995 ) ( RSCALE(J), J = 1,N )
WRITE ( NOUT, FMT = 99994 )
$ ABCNRM, SABCNM, ENORM, SENORM
END IF
END IF
END IF
END IF
END IF
STOP
*
99999 FORMAT (' TG01AD EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from TG01AD = ',I2)
99997 FORMAT (/' The transformed state dynamics matrix Dl*A*Dr is ')
99996 FORMAT (/' The transformed descriptor matrix Dl*E*Dr is ')
99995 FORMAT (20(1X,F9.4))
99994 FORMAT (/' Norm of [ A B; C 0] =', 1PD10.3/
$ ' Norm of scaled [ A B; C 0] =', 1PD10.3/
$ ' Norm of E =', 1PD10.3/
$ ' Norm of scaled E =', 1PD10.3)
99993 FORMAT (/' The transformed input/state matrix Dl*B is ')
99992 FORMAT (/' The transformed state/output matrix C*Dr is ')
99991 FORMAT (/' The diagonal of left scaling matrix Dl is ')
99990 FORMAT (/' The diagonal of right scaling matrix Dr is ')
99989 FORMAT (/' L is out of range.',/' L = ',I5)
99988 FORMAT (/' N is out of range.',/' N = ',I5)
99987 FORMAT (/' M is out of range.',/' M = ',I5)
99986 FORMAT (/' P is out of range.',/' P = ',I5)
END
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