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* AB09KD EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER MMAX, NMAX, NVMAX, NWMAX, PMAX
PARAMETER ( MMAX = 20, NMAX = 20, NVMAX = 10, NWMAX = 10,
$ PMAX = 20 )
INTEGER LDA, LDAV, LDAW, LDB, LDBV, LDBW,
$ LDC, LDCV, LDCW, LDD, LDDV, LDDW
PARAMETER ( LDA = NMAX, LDAV = NVMAX, LDAW = NWMAX,
$ LDB = NMAX, LDBV = NVMAX, LDBW = NWMAX,
$ LDC = PMAX, LDCV = PMAX, LDCW = MMAX,
$ LDD = PMAX, LDDV = PMAX, LDDW = MMAX )
INTEGER LIWORK
PARAMETER ( LIWORK = 2*MAX( MMAX, PMAX ) )
INTEGER LDW1, LDW2, LDW3, LDW4, LDWORK
PARAMETER ( LDW1 = MAX( NVMAX*( NVMAX + 5 ), NVMAX*NMAX +
$ MAX( 2*NVMAX, PMAX*NMAX, PMAX*MMAX ) ))
PARAMETER ( LDW2 = MAX( NWMAX*( NWMAX + 5 ), NWMAX*NMAX +
$ MAX( 2*NWMAX, MMAX*NMAX, PMAX*MMAX ) ))
PARAMETER ( LDW3 = NMAX*( 2*NMAX + MAX( NMAX, MMAX, PMAX )
$ + 5 ) + ( NMAX*( NMAX + 1 ) )/2 )
PARAMETER ( LDW4 = NMAX*( MMAX + PMAX + 2 ) + 2*MMAX*PMAX +
$ MIN( NMAX, MMAX ) +
$ MAX( 3*MMAX + 1,
$ MIN( NMAX, MMAX ) + PMAX ) )
PARAMETER ( LDWORK = MAX( LDW1, LDW2, LDW3, LDW4 ) )
* .. Local Scalars ..
LOGICAL LEFTW, RIGHTW
DOUBLE PRECISION ALPHA, TOL1, TOL2
INTEGER I, INFO, IWARN, J, M, N, NR, NS, NV, NW, P
CHARACTER*1 DICO, EQUIL, JOB, ORDSEL, WEIGHT
* .. Local Arrays ..
DOUBLE PRECISION A(LDA,NMAX), AV(LDAV,NVMAX), AW(LDAW,NWMAX),
$ B(LDB,MMAX), BV(LDBV,PMAX), BW(LDBW,MMAX),
$ C(LDC,NMAX), CV(LDCV,NVMAX), CW(LDCW,NWMAX),
$ D(LDD,MMAX), DV(LDDV,PMAX), DW(LDDW,MMAX),
$ DWORK(LDWORK), HSV(NMAX)
INTEGER IWORK(LIWORK)
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* .. External Subroutines ..
EXTERNAL AB09KD
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) N, M, P, NV, NW, NR, ALPHA, TOL1, TOL2,
$ JOB, DICO, WEIGHT, EQUIL, ORDSEL
LEFTW = LSAME( WEIGHT, 'L' ) .OR. LSAME( WEIGHT, 'B' )
RIGHTW = LSAME( WEIGHT, 'R' ) .OR. LSAME( WEIGHT, 'B' )
IF( N.LE.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99990 ) N
ELSE
READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N )
IF( M.LE.0 .OR. M.GT.MMAX ) THEN
WRITE ( NOUT, FMT = 99989 ) M
ELSE
READ ( NIN, FMT = * ) ( ( B(I,J), J = 1,M ), I = 1, N )
IF( P.GT.PMAX ) THEN
WRITE ( NOUT, FMT = 99988 ) P
ELSE
READ ( NIN, FMT = * ) ( ( C(I,J), J = 1,N ), I = 1,P )
READ ( NIN, FMT = * ) ( ( D(I,J), J = 1,M ), I = 1,P )
IF( LEFTW .OR. NV.GT.0 ) THEN
IF( NV.LT.0 .OR. NV.GT.NVMAX ) THEN
WRITE ( NOUT, FMT = 99986 ) NV
ELSE
IF( NV.GT.0 ) THEN
READ ( NIN, FMT = * )
$ ( ( AV(I,J), J = 1,NV ), I = 1,NV )
READ ( NIN, FMT = * )
$ ( ( BV(I,J), J = 1,P ), I = 1, NV )
READ ( NIN, FMT = * )
$ ( ( CV(I,J), J = 1,NV ), I = 1,P )
END IF
IF( LEFTW ) READ ( NIN, FMT = * )
$ ( ( DV(I,J), J = 1,P ), I = 1,P )
END IF
END IF
IF( RIGHTW ) THEN
IF( NW.LT.0 .OR. NW.GT.NWMAX ) THEN
WRITE ( NOUT, FMT = 99985 ) NW
ELSE
IF( NW.GT.0 ) THEN
READ ( NIN, FMT = * )
$ ( ( AW(I,J), J = 1,NW ), I = 1,NW )
READ ( NIN, FMT = * )
$ ( ( BW(I,J), J = 1,M ), I = 1, NW )
READ ( NIN, FMT = * )
$ ( ( CW(I,J), J = 1,NW ), I = 1,M )
END IF
READ ( NIN, FMT = * )
$ ( ( DW(I,J), J = 1,M ), I = 1,M )
END IF
END IF
* Find a reduced ssr for (A,B,C,D).
CALL AB09KD( JOB, DICO, WEIGHT, EQUIL, ORDSEL, N, NV, NW,
$ M, P, NR, ALPHA, A, LDA, B, LDB, C, LDC,
$ D, LDD, AV, LDAV, BV, LDBV, CV, LDCV,
$ DV, LDDV, AW, LDAW, BW, LDBW, CW, LDCW,
$ DW, LDDW, NS, HSV, TOL1, TOL2, IWORK,
$ DWORK, LDWORK, IWARN, INFO )
*
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99998 ) INFO
ELSE
IF( IWARN.NE.0) WRITE ( NOUT, FMT = 99984 ) IWARN
WRITE ( NOUT, FMT = 99997 ) NR
WRITE ( NOUT, FMT = 99987 )
WRITE ( NOUT, FMT = 99995 ) ( HSV(J), J = 1, NS )
IF( NR.GT.0 ) WRITE ( NOUT, FMT = 99996 )
DO 20 I = 1, NR
WRITE ( NOUT, FMT = 99995 ) ( A(I,J), J = 1,NR )
20 CONTINUE
IF( NR.GT.0 ) WRITE ( NOUT, FMT = 99993 )
DO 40 I = 1, NR
WRITE ( NOUT, FMT = 99995 ) ( B(I,J), J = 1,M )
40 CONTINUE
IF( NR.GT.0 ) WRITE ( NOUT, FMT = 99992 )
DO 60 I = 1, P
WRITE ( NOUT, FMT = 99995 ) ( C(I,J), J = 1,NR )
60 CONTINUE
WRITE ( NOUT, FMT = 99991 )
DO 70 I = 1, P
WRITE ( NOUT, FMT = 99995 ) ( D(I,J), J = 1,M )
70 CONTINUE
END IF
END IF
END IF
END IF
STOP
*
99999 FORMAT (' AB09KD EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from AB09KD = ',I2)
99997 FORMAT (/' The order of reduced model = ',I2)
99996 FORMAT (/' The reduced state dynamics matrix Ar is ')
99995 FORMAT (20(1X,F8.4))
99993 FORMAT (/' The reduced input/state matrix Br is ')
99992 FORMAT (/' The reduced state/output matrix Cr is ')
99991 FORMAT (/' The reduced input/output matrix Dr is ')
99990 FORMAT (/' N is out of range.',/' N = ',I5)
99989 FORMAT (/' M is out of range.',/' M = ',I5)
99988 FORMAT (/' P is out of range.',/' P = ',I5)
99987 FORMAT (/' The Hankel singular values of weighted ALPHA-stable',
$ ' part are')
99986 FORMAT (/' NV is out of range.',/' NV = ',I5)
99985 FORMAT (/' NW is out of range.',/' NW = ',I5)
99984 FORMAT (' IWARN on exit from AB09KD = ',I2)
END
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